EX-99.1 6 abhq32021exhibit991.htm EX-99.1 ALLIANCEBERNSTEIN L.P. Document
Index
Exhibit 99.1
Part I                                 
FINANCIAL INFORMATION
Item 1.    Financial Statements
ALLIANCEBERNSTEIN L.P.
AND SUBSIDIARIES
Condensed Consolidated Statements of Financial Condition
(in thousands, except unit amounts)
(unaudited)
 September 30,
2021
December 31,
2020
ASSETS
Cash and cash equivalents$1,209,867 $1,037,400 
Cash and securities segregated, at fair value (cost: $907,630 and $1,752,483)908,539 1,753,478 
Receivables, net:  
Brokers and dealers210,871 92,638 
Brokerage clients2,042,720 1,713,377 
AB funds fees274,841 325,407 
Other fees168,562 148,746 
Investments:  
Long-term incentive compensation-related62,197 60,114 
Other160,921 193,261 
Assets of consolidated company-sponsored investment funds:
   Cash and cash equivalents 32,904 36,506 
   Investments 276,199 302,582 
   Other assets 12,797 12,244 
Furniture, equipment and leasehold improvements, net170,256 147,874 
Goodwill3,091,767 3,082,778 
Intangible assets, net43,627 44,496 
Deferred sales commissions, net76,005 64,066 
Right-of-use assets433,946 418,455 
Other assets441,095 264,418 
Total assets$9,617,114 $9,697,840 
LIABILITIES, REDEEMABLE NON-CONTROLLING INTEREST AND CAPITAL
Liabilities:  
Payables:  
Brokers and dealers$259,667 $216,403 
Securities sold not yet purchased2,582 17,791 
Brokerage clients3,177,172 3,440,266 
AB mutual funds77,497 65,550 
Accounts payable and accrued expenses265,957 197,657 
Lease liabilities506,563 505,549 
Liabilities of consolidated company-sponsored investment funds32,594 30,620 
Accrued compensation and benefits795,878 335,122 
Debt390,000 675,000 
Total liabilities5,507,910 5,483,958 
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 September 30,
2021
December 31,
2020
Commitments and contingencies (See Note 12)
Redeemable non-controlling interest117,804 102,359 
Capital:  
General Partner41,447 41,776 
Limited partners: 270,935,464 and 270,509,658 units issued and outstanding4,197,125 4,229,485 
Receivables from affiliates(8,453)(8,316)
AB Holding Units held for long-term incentive compensation plans(130,908)(57,219)
Accumulated other comprehensive loss(107,811)(94,203)
Partners’ capital attributable to AB Unitholders3,991,400 4,111,523 
Total liabilities, redeemable non-controlling interest and capital$9,617,114 $9,697,840 
 

See Accompanying Notes to Condensed Consolidated Financial Statements.
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ALLIANCEBERNSTEIN L.P.
AND SUBSIDIARIES
Condensed Consolidated Statements of Income
(in thousands, except per unit amounts)
(unaudited)
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
Revenues:
Investment advisory and services fees$776,797 $630,539 $2,257,887 $1,830,467 
Bernstein research services113,340 98,514 338,016 341,346 
Distribution revenues170,612 135,693 473,750 386,649 
Dividend and interest income8,794 9,070 26,136 42,227 
Investment (losses) gains(2,724)1,106 3,385 (19,011)
Other revenues26,973 26,583 80,584 78,186 
Total revenues1,093,792 901,505 3,179,758 2,659,864 
Less: Interest expense960 1,467 2,838 14,221 
Net revenues1,092,832 900,038 3,176,920 2,645,643 
Expenses:    
Employee compensation and benefits433,928 357,821 1,275,694 1,069,731 
Promotion and servicing:  
Distribution-related payments187,411 148,380 517,426 414,203 
Amortization of deferred sales commissions8,731 7,434 24,866 19,582 
Trade execution, marketing, T&E and other47,428 41,220 140,677 141,118 
General and administrative:
General and administrative132,064 119,318 383,611 363,009 
Real estate charges— — — 5,526 
Contingent payment arrangements838 813 2,472 2,413 
Interest on borrowings1,280 1,073 3,815 5,003 
Amortization of intangible assets1,502 6,833 4,502 20,042 
Total expenses813,182 682,892 2,353,063 2,040,627 
Operating income279,650 217,146 823,857 605,016 
Income taxes16,029 9,089 45,254 29,949 
Net income263,621 208,057 778,603 575,067 
Net (loss) income of consolidated entities attributable to non-controlling interests(1,074)81 2,207 (4,550)
Net income attributable to AB Unitholders$264,695 $207,976 $776,396 $579,617 
Net income per AB Unit:    
Basic$0.96 $0.77 $2.82 $2.13 
Diluted$0.96 $0.77 $2.82 $2.13 

See Accompanying Notes to Condensed Consolidated Financial Statements.
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ALLIANCEBERNSTEIN L.P.
AND SUBSIDIARIES
Condensed Consolidated Statements of Comprehensive Income
(in thousands)
(unaudited)
 
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
Net income$263,621 $208,057 $778,603 $575,067 
Other comprehensive (loss) income:  
Foreign currency translation adjustments, before tax(9,573)16,440 (14,623)1,361 
Income tax benefit (expense)224 (98)272 42 
Foreign currency translation adjustments, net of tax(9,349)16,342 (14,351)1,403 
Changes in employee benefit related items:  
Amortization of prior service cost18 18 
Recognized actuarial gain 324 325 729 975 
Changes in employee benefit related items330 331 747 993 
Income tax (expense)(2)(2)(4)(80)
Employee benefit related items, net of tax328 329 743 913 
Other comprehensive (loss) income(9,021)16,671 (13,608)2,316 
Less: Comprehensive (loss) income in consolidated entities attributable to non-controlling interests(1,074)81 2,207 (4,550)
Comprehensive income attributable to AB Unitholders$255,674 $224,647 $762,788 $581,933 
 
See Accompanying Notes to Condensed Consolidated Financial Statements.

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ALLIANCEBERNSTEIN L.P.
AND SUBSIDIARIES
Condensed Consolidated Statements of Changes in Partners' Capital
(in thousands)
(unaudited)
Three Months Ended September 30,Nine Months Ended September 30,
2021202020212020
General Partner’s Capital
Balance, beginning of period$41,953 $38,647 $41,776 $41,225 
Net income2,647 2,079 7,764 5,796 
Cash distributions to General Partner(2,662)(378)(7,981)(6,316)
Long-term incentive compensation plans activity41 15 52 20 
(Retirement) of AB Units, net(532)(84)(164)(446)
Balance, end of period41,447 40,279 41,447 40,279 
Limited Partners' Capital
Balance, beginning of period4,247,060 4,066,211 4,229,485 4,174,201 
Net income262,048 205,897 768,632 573,821 
Cash distributions to Unitholders(263,339)(183,880)(789,830)(624,566)
Long-term incentive compensation plans activity4,038 1,335 5,189 1,963 
(Retirement) of AB Units, net(52,682)(8,298)(16,351)(44,154)
Balance, end of period4,197,125 4,081,265 4,197,125 4,081,265 
Receivables from Affiliates
Balance, beginning of period(7,799)(9,167)(8,316)(9,011)
Long-term incentive compensation awards expense541 205 700 598 
Capital contributions (to) from AB Holding(1,195)256 (837)(293)
Balance, end of period(8,453)(8,706)(8,453)(8,706)
AB Holding Units held for Long-term Incentive Compensation Plans
Balance, beginning of period(140,204)(73,726)(57,219)(76,310)
Purchases of AB Holding Units to fund long-term compensation plans, net(45,993)(6,043)(121,461)(53,458)
Retirement of AB Units, net53,163 8,629 16,665 44,847 
Long-term incentive compensation awards expense6,518 8,321 34,025 22,996 
Re-valuation of AB Holding Units held in rabbi trust(4,392)(1,500)(2,918)(2,409)
Other— — — 15 
Balance, end of period(130,908)(64,319)(130,908)(64,319)
Accumulated Other Comprehensive Income (Loss)
Balance, beginning of period(98,790)(127,359)(94,203)(113,004)
Foreign currency translation adjustment, net of tax(9,349)16,342 (14,351)1,403 
Changes in employee benefit related items, net of tax328 329 743 913 
Balance, end of period(107,811)(110,688)(107,811)(110,688)
Total Partners' Capital attributable to AB Unitholders3,991,400 3,937,831 3,991,400 3,937,831 
See Accompanying Notes to Condensed Consolidated Financial Statements.
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ALLIANCEBERNSTEIN L.P. AND SUBSIDIARIES
Condensed Consolidated Statements of Cash Flows
(in thousands)
(unaudited)
 Nine Months Ended September 30,
 20212020
Cash flows from operating activities:
Net income$778,603 $575,067 
Adjustments to reconcile net income to net cash provided by operating activities:  
Amortization of deferred sales commissions24,866 19,582 
Non-cash long-term incentive compensation expense34,725 23,594 
Depreciation and other amortization97,239 107,910 
Unrealized losses on investments5,203 20,593 
Unrealized losses on investments of consolidated company-sponsored investment funds3,878 8,254 
Other, net13,799 (1,072)
Changes in assets and liabilities:  
Decrease (increase) in securities, segregated844,939 (774,447)
(Increase) in receivables(423,059)(1,555)
Decrease (increase) in investments24,052 (8,037)
Decrease in investments of consolidated company-sponsored investment funds22,505 344,574 
(Increase) in deferred sales commissions(36,805)(46,681)
(Increase) decrease in right-of-use assets(80,667)1,845 
(Increase) decrease in other assets(182,775)40,130 
Increase in other assets and liabilities of consolidated company-sponsored investment funds, net1,421 4,958 
(Decrease) increase in payables(226,164)982,957 
Increase (Decrease) in lease liabilities4,103 (71,431)
Increase (decrease) in accounts payable and accrued expenses35,107 (5,988)
Increase in accrued compensation and benefits462,274 361,251 
Net cash provided by operating activities1,403,244 1,581,504 
Cash flows from investing activities:  
Purchases of furniture, equipment and leasehold improvements(52,074)(12,357)
Acquisition of business, net of cash acquired(3,793)(13,552)
Net cash used in investing activities(55,867)(25,909)
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 Nine Months Ended September 30,
 20212020
Cash flows from financing activities:  
(Repayment) of debt, net(285,000)(260,000)
Increase in overdrafts payable24,923 2,640 
Distributions to General Partner and Unitholders(797,811)(630,882)
Subscriptions (redemptions) of non-controlling interest in consolidated company-sponsored investment funds, net13,239 (264,021)
Capital contributions to affiliates(1,914)(865)
Additional investments by AB Holding with proceeds from exercise of compensatory options to buy AB Holding Units3,402 147 
Purchases of AB Holding Units to fund long-term incentive compensation plan awards, net(121,461)(53,458)
Other1,148 1,276 
Net cash used in financing activities(1,163,474)(1,205,163)
Effect of exchange rate changes on cash and cash equivalents(15,038)1,415 
Net increase in cash and cash equivalents168,865 351,847 
Cash and cash equivalents as of beginning of the period1,073,906 691,171 
Cash and cash equivalents as of end of the period$1,242,771 $1,043,018 
Non-cash investing activities:
Fair value of assets acquired (less cash acquired of $2.8 million and $0.6 million, respectively)$13,235 $18,389 
Fair value of liabilities assumed$1,642 $437 
Non-cash financing activities:
Payables recorded under contingent payment arrangements$7,800 $4,400 

See Accompanying Notes to Condensed Consolidated Financial Statements.
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ALLIANCEBERNSTEIN L.P.
AND SUBSIDIARIES
Notes to Condensed Consolidated Financial Statements
September 30, 2021
(unaudited)

The words “we” and “our” refer collectively to AllianceBernstein L.P. and its subsidiaries (“AB”), or to their officers and employees. Similarly, the word “company” refers to AB. These statements should be read in conjunction with AB’s audited consolidated financial statements included in AB’s Form 10-K for the year ended December 31, 2020.

1. Business Description Organization and Basis of Presentation

Business Description

We provide diversified investment management, research and related services globally to a broad range of clients. Our principal services include:

•    Institutional Services – servicing our institutional clients, including private and public pension plans, foundations and endowments, insurance companies, central banks and governments worldwide, and affiliates such as Equitable Holdings, Inc. ("EQH") and its subsidiaries, by means of separately-managed accounts, sub-advisory relationships, structured products, collective investment trusts, mutual funds, hedge funds and other investment vehicles.

•    Retail Services – servicing our retail clients, primarily by means of retail mutual funds sponsored by AB or an affiliated company, sub-advisory relationships with mutual funds sponsored by third parties, separately-managed account programs sponsored by financial intermediaries worldwide and other investment vehicles.

•    Private Wealth Management Services – servicing our private clients, including high-net-worth individuals and families, trusts and estates, charitable foundations, partnerships, private and family corporations, and other entities, by means of separately-managed accounts, hedge funds, mutual funds and other investment vehicles.

Bernstein Research Services – servicing institutional investors, such as pension fund, hedge fund and mutual fund managers, seeking high-quality fundamental research, quantitative services and brokerage-related services in equities and listed options.

We also provide distribution, shareholder servicing, transfer agency services and administrative services to the mutual funds we sponsor.
 
Our high-quality, in-depth research is the foundation of our business. Our research disciplines include economic, fundamental equity, fixed income and quantitative research.  In addition, we have expertise in multi-asset strategies, wealth management, environmental, social and corporate governance ("ESG"), and alternative investments.

We provide a broad range of investment services with expertise in:

Actively-managed equity strategies, with global and regional portfolios across capitalization ranges, concentration ranges and investment strategies, including value, growth and core equities;

Actively-managed traditional and unconstrained fixed income strategies, including taxable and tax-exempt strategies;

Alternative investments, including hedge funds, fund of funds, direct lending, real estate and private equity;

Multi-asset solutions and services, including dynamic asset allocation, customized target-date funds and target-risk funds; and

Some passive management, including index and enhanced index strategies.





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Organization

As of September 30, 2021, EQH owned approximately 4.1% of the issued and outstanding units representing assignments of beneficial ownership of limited partnership interests in AllianceBernstein Holding L.P. (“AB Holding Units”). AllianceBernstein Corporation (an indirect wholly-owned subsidiary of EQH, “General Partner”) is the general partner of both AllianceBernstein Holding L.P. (“AB Holding”) and AB. AllianceBernstein Corporation owns 100,000 general partnership units in AB Holding and a 1% general partnership interest in AB.

As of September 30, 2021, the ownership structure of AB, including limited partnership units outstanding as well as the general partner's 1% interest, was as follows:

EQH and its subsidiaries63.2 %
AB Holding36.1 
Unaffiliated holders0.7 
 100.0 %

Including both the general partnership and limited partnership interests in AB Holding and AB, EQH and its subsidiaries had an approximate 64.7% economic interest in AB as of September 30, 2021.

Basis of Presentation

The interim condensed consolidated financial statements have been prepared in accordance with the instructions to Form 10-Q pursuant to the rules and regulations of the U.S. Securities and Exchange Commission (“SEC”). In the opinion of management, all adjustments, consisting only of normal recurring adjustments, necessary for a fair statement of the interim results, have been made. The preparation of the condensed consolidated financial statements requires management to make certain estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the dates of the condensed consolidated financial statements and the reported amounts of revenues and expenses during the interim reporting periods. Actual results could differ from those estimates. The condensed consolidated statement of financial condition as of December 31, 2020 was derived from audited financial statements. Certain disclosures included in the annual financial statements have been condensed or omitted from these financial statements as they are not required for interim financial statements under principles generally accepted in the United States of America ("GAAP") and the rules of the Securities and Exchange Commission.

Principles of Consolidation

The condensed consolidated financial statements include AB and its majority-owned and/or controlled subsidiaries, and the consolidated entities that are considered to be variable interest entities (“VIEs”) and voting interest entities (“VOEs”) in which AB has a controlling financial interest. Non-controlling interests on the condensed consolidated statements of financial condition include the portion of consolidated company-sponsored investment funds in which we do not have direct equity ownership. All significant inter-company transactions and balances among the consolidated entities have been eliminated.

Reclassifications

During 2021, prior period amounts previously presented as net issuance (repayment) of commercial paper, proceeds (repayment) of EQH facility and proceeds (repayment) of bank loans are now combined and presented as net repayments (borrowings) of debt in the condensed consolidated statements of cash flows to conform to the current period's presentation.

Subsequent Events
We have evaluated subsequent events through the date that these financial statements were filed with the Securities and Exchange Commission. See Note 18 Subsequent Events for further discussion.

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2.     Significant Accounting Policies

Recently Adopted Accounting Pronouncements

In August 2018, the FASB issued ASU 2018-14, Compensation - Retirement Benefits - Defined Benefit Plans - General (Topic 715-20). The amendment modifies the disclosure requirements for employers that sponsor defined benefit pension or other post-retirement plans. We adopted this standard prospectively on January 1, 2021. The adoption of this standard did not have a material impact on our financial condition or results of operations.

In December 2019, the FASB issued ASU 2019-12, Income Taxes (Topic 740): Simplifying the Accounting for Income Taxes. The amendments simplify the accounting for income taxes by removing certain exceptions to the general principles in Topic 740. The amendments also improve consistent application of and simplify US GAAP for other areas of Topic 740 by clarifying and amending the existing guidance. We adopted this standard prospectively on January 1, 2021. The adoption of this standard did not have a material impact on our financial condition or results of operations.


3. Revenue Recognition

Revenues for the three and nine months ended September 30, 2021 and 2020 consisted of the following:
Three Months Ended September 30,Nine Months Ended September 30,
2021202020212020
(in thousands)
Subject to contracts with customers:
    Investment advisory and services fees
        Base fees$758,524 $623,593 $2,169,932 $1,806,476 
        Performance-based fees18,273 6,946 87,955 23,991 
    Bernstein research services113,340 98,514 338,016 341,346 
    Distribution revenues
        All-in-management fees89,737 83,466 260,992 245,651 
        12b-1 fees21,681 19,068 62,368 56,351 
        Other59,194 33,159 150,390 84,647 
    Other revenues
        Shareholder servicing fees23,495 20,753 67,573 61,290 
        Other3,526 5,477 12,142 15,939 
1,087,770 890,976 3,149,368 2,635,691 
Not subject to contracts with customers:
    Dividend and interest income, net of interest expense
7,834 7,603 23,298 28,006 
    Investment (losses) gains(2,724)1,106 3,385 (19,011)
    Other revenues(48)353 869 957 
5,062 9,062 27,552 9,952 
Total net revenues$1,092,832 $900,038 $3,176,920 $2,645,643 

4.    Long-term Incentive Compensation Plans

We maintain several unfunded, non-qualified long-term incentive compensation plans, under which we grant annual awards to employees, generally in the fourth quarter, and to members of the Board of Directors of the General Partner, who are not employed by our company or by any of our affiliates (“Eligible Directors”).

We fund our restricted AB Holding Unit awards either by purchasing AB Holding Units on the open market or purchasing newly-issued AB Holding Units from AB Holding, and then keeping these AB Holding Units in a consolidated rabbi trust until delivering them or retiring them. In accordance with the Amended and Restated Agreement of Limited Partnership of AB (“AB Partnership Agreement”), when AB purchases newly-issued AB Holding Units from AB Holding, AB Holding is
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required to use the proceeds it receives from AB to purchase the equivalent number of newly-issued AB Units, thus increasing its percentage ownership interest in AB. AB Holding Units held in the consolidated rabbi trust are corporate assets in the name of the trust and are available to the general creditors of AB.

Repurchases of AB Holding Units for the three and nine months ended September 30, 2021 and 2020 consisted of the following:
Three Months Ended September 30,Nine Months Ended September 30,
2021202020212020
(in millions)
Total amount of AB Holding Units Purchased (1)
1.0 0.3 2.9 2.5 
Total Cash Paid for AB Holding Units Purchased (1)
$50.0 $6.8 $125.7 $54.4 
Open Market Purchases of AB Holding Units Purchased (2)
0.9 0.2 2.3 2.4 
Total Cash Paid for Open Market Purchases of AB Holding Units (2)
$44.9 $6.7 $103.7 $51.8 
(1) Purchased on a trade date basis.
(2) The remainder related to purchases of AB Holding Units from employees to fulfill statutory tax withholding requirements at the time of delivery of long-term incentive compensation award.
Purchases of AB Holding Units reflected on the condensed consolidated statements of cash flows are net of AB Holding Unit purchases by employees as part of a distribution reinvestment election.

Each quarter, we consider whether to implement a plan to repurchase AB Holding Units pursuant to Rules 10b5-1 and 10b-18 under the Securities Exchange Act of 1934, as amended ("Exchange Act"). A plan of this type allows a company to repurchase its shares at times when it otherwise might be prevented from doing so because of self-imposed trading blackout periods or because it possesses material non-public information. Each broker we select has the authority under the terms and limitations specified in the plan to repurchase AB Holding Units on our behalf. Repurchases are subject to regulations promulgated by the SEC as well as certain price, market volume and timing constraints specified in the plan. The plan adopted during the third quarter of 2021 expired at the close of business on October 27, 2021. We may adopt additional plans in the future to engage in open-market purchases of AB Holding Units to help fund anticipated obligations under our incentive compensation award program and for other corporate purposes.

During the first nine months of 2021 and 2020, we awarded to employees and Eligible Directors 3.6 million and 0.5 million restricted AB Holding Unit awards, respectively. We used AB Holding Units repurchased during the applicable period and newly-issued AB Holding Units to fund these awards.

During the first nine months of 2021 and 2020, AB Holding issued 0.1 million and 5,182 AB Holding Units, respectively, upon exercise of options to buy AB Holding Units. AB Holding used the proceeds of $3.4 million and $0.1 million, respectively, received from award recipients as payment in cash for the exercise price to purchase the equivalent number of newly-issued AB Units.

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5.     Net Income per Unit

Basic net income per unit is derived by reducing net income for the 1% general partnership interest and dividing the remaining 99% by the basic weighted average number of limited partnership units outstanding for each period. Diluted net income per unit is derived by reducing net income for the 1% general partnership interest and dividing the remaining 99% by the total of the diluted weighted average number of limited partnership units outstanding for each period.
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
(in thousands, except per unit amounts)
Net income attributable to AB Unitholders$264,695 $207,976 $776,396 $579,617 
Weighted average limited partnership units outstanding – basic271,594 268,538 272,088 269,369 
Dilutive effect of compensatory options to buy AB Holding Units27 14 23 
Weighted average limited partnership units outstanding – diluted271,597 268,565 272,102 269,392 
Basic net income per AB Unit$0.96 $0.77 $2.82 $2.13 
Diluted net income per AB Unit$0.96 $0.77 $2.82 $2.13 

Three Months Ended September 30,Nine Months Ended September 30,
2021202020212020
(amounts as shown)
Anti-dilutive options excluded from diluted net income— 29,056 — 29,056 

6. Cash Distributions

AB is required to distribute all of its Available Cash Flow, as defined in the AB Partnership Agreement, to its Unitholders and to the General Partner. Available Cash Flow can be summarized as the cash flow received by AB from operations minus such amounts as the General Partner determines, in its sole discretion, should be retained by AB for use in its business, or plus such amounts as the General Partner determines, in its sole discretion, should be released from previously retained cash flow.

Typically, Available Cash Flow has been the adjusted diluted net income per unit for the quarter multiplied by the number of general and limited partnership interests at the end of the quarter. In future periods, management anticipates that Available Cash Flow will be based on adjusted diluted net income per unit, unless management determines, with the concurrence of the Board of Directors, that one or more adjustments that are made for adjusted net income should not be made with respect to the Available Cash Flow calculation.

On October 28, 2021, the General Partner declared a distribution of $0.96 per AB Unit, representing a distribution of Available Cash Flow for the three months ended September 30, 2021. The General Partner, as a result of its 1% general partnership interest, is entitled to receive 1% of each distribution. The distribution is payable on November 24, 2021 to holders of record on November 8, 2021.

7.     Cash and Securities Segregated Under Federal Regulations and Other Requirements

As of September 30, 2021 and December 31, 2020, $0.9 billion and $1.8 billion, respectively, of U.S. Treasury Bills were segregated in a special reserve bank custody account for the exclusive benefit of our brokerage customers under Rule 15c3-3 of the Exchange Act.

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8.     Investments

Investments consist of:
 September 30,
2021
December 31,
2020
 (in thousands)
Equity securities:
    Long-term incentive compensation-related$30,810 $34,351 
    Seed capital 98,189 75,766 
    Other5,163 55,439 
Exchange-traded options1,569 7,527 
Investments in limited partnership hedge funds:  
Long-term incentive compensation-related31,387 25,762 
Seed capital21,536 16,646 
Time deposits19,054 18,602 
Other 15,410 19,282 
Total investments$223,118 $253,375 

Total investments related to long-term incentive compensation obligations of $62.2 million and $60.1 million as of September 30, 2021 and December 31, 2020, respectively, consist of company-sponsored mutual funds and hedge funds. For long-term incentive compensation awards granted before 2009, we typically made investments in company-sponsored mutual funds and hedge funds that were notionally elected by plan participants and maintained them (and continue to maintain them) in a consolidated rabbi trust or separate custodial account. The rabbi trust and custodial account enable us to hold such investments separate from our other assets for the purpose of settling our obligations to participants. The investments held in the rabbi trust and custodial account remain available to the general creditors of AB.

The underlying investments of hedge funds in which we invest include long and short positions in equity securities, fixed income securities (including various agency and non-agency asset-based securities), currencies, commodities and derivatives (including various swaps and forward contracts). These investments are valued at quoted market prices or, where quoted market prices are not available, are fair valued based on the pricing policies and procedures of the underlying funds.

We allocate seed capital to our investment teams to help develop new products and services for our clients. A portion of our seed capital trading investments are equity and fixed income products, primarily in the form of separately-managed account portfolios, U.S. mutual funds, Luxembourg funds, Japanese investment trust management funds or Delaware business trusts. We also may allocate seed capital to investments in private equity funds. Regarding our seed capital investments, the amounts above reflect those funds in which we are not the primary beneficiary of a VIE or hold a controlling financial interest in a VOE. See Note 14, Consolidated Company-Sponsored Investment Funds, for a description of the seed capital investments that we consolidate. As of September 30, 2021 and December 31, 2020, our total seed capital investments were $291.0 million and $310.3 million, respectively. Seed capital investments in unconsolidated company-sponsored investment funds are valued using published net asset values or non-published net asset values if they are not listed on an active exchange but have net asset values that are comparable to funds with published net asset values and have no redemption restrictions.

In addition, we also have long positions in corporate equities and long exchange-traded options traded through our options desk.

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The portion of unrealized gains (losses) related to equity securities, as defined by ASC 321-10, held as of September 30, 2021 and 2020 were as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
 (in thousands)
Net gains recognized during the period$1,853 $12,904 $14,459 $5,304 
Less: net gains recognized during the period on equity securities sold during the period2,902 18,929 19,623 25,005 
Unrealized (losses) recognized during the period on equity securities held$(1,049)$(6,025)$(5,164)$(19,701)

9.     Derivative Instruments

See Note 14, Consolidated Company-Sponsored Investment Funds, for disclosure of derivative instruments held by our consolidated company-sponsored investment funds.

We enter various futures, forwards, options and swaps to economically hedge certain seed capital investments.  Also, we have currency forwards that help us to economically hedge certain balance sheet exposures. In addition, our options desk trades long and short exchange-traded equity options. We do not hold any derivatives designated in a formal hedge relationship under ASC 815-10, Derivatives and Hedging.

The notional value and fair value as of September 30, 2021 and December 31, 2020 for derivative instruments (excluding derivative instruments relating to our options desk trading activities discussed below) not designated as hedging instruments were as follows:
 Fair Value
 Notional ValueDerivative AssetsDerivative Liabilities
 (in thousands)
September 30, 2021:
Exchange-traded futures$115,197 $2,280 $448 
Currency forwards48,080 7,906 7,312 
Interest rate swaps13,483 358 593 
Credit default swaps121,158 6,754 6,645 
Total return swaps26,656 861 142 
Option swaps50,000 — 136 
Total derivatives$374,574 $18,159 $15,276 
December 31, 2020:
Exchange-traded futures$142,886 $118 $1,834 
Currency forwards63,906 8,576 8,451 
Interest rate swaps60,997 2,043 2,955 
Credit default swaps167,649 10,910 13,304 
Total return swaps52,061 94 1,847 
Option swaps2,486 — 2,146 
Total derivatives$489,985 $21,741 $30,537 

As of September 30, 2021 and December 31, 2020, the derivative assets and liabilities are included in both receivables and payables to brokers and dealers on our condensed consolidated statements of financial condition.

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The gains and losses for derivative instruments (excluding our options desk trading activities discussed below) for the three and nine months ended September 30, 2021 and 2020 recognized in investment gains (losses) in the condensed consolidated statements of income were as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
 (in thousands)
Exchange-traded futures$2,186 $(2,753)$(1,561)$(7,565)
Currency forwards512 (1,031)1,339 (585)
Interest rate swaps(179)15 (202)(372)
Credit default swaps(91)(2,298)(2,327)5,492 
Total return swaps(611)(6,840)(4,498)(10,691)
Option swaps78 (1,183)66 (1,716)
Net gains (losses) on derivative instruments$1,895 $(14,090)$(7,183)$(15,437)

We may be exposed to credit-related losses in the event of non-performance by counterparties to derivative financial instruments. We minimize our counterparty exposure through a credit review and approval process. In addition, we have executed various collateral arrangements with counterparties to the over-the-counter derivative transactions that require both pledging and accepting collateral in the form of cash. As of September 30, 2021 and December 31, 2020, we held $2.7 million and $0.4 million, respectively, of cash collateral payable to trade counterparties. This obligation to return cash is reported in payables to brokers and dealers in our condensed consolidated statements of financial condition.

Although notional amount typically is utilized as the measure of volume in the derivatives market, it is not used as a measure of credit risk. Generally, the current credit exposure of our derivative contracts is limited to the net positive estimated fair value of derivative contracts at the reporting date after taking into consideration the existence of netting agreements and any collateral received. A derivative with positive value (a derivative asset) indicates existence of credit risk because the counterparty would owe us if the contract were closed. Alternatively, a derivative contract with negative value (a derivative liability) indicates we would owe money to the counterparty if the contract were closed. Generally, if there is more than one derivative transaction with a single counterparty, a master netting arrangement exists with respect to derivative transactions with that counterparty to provide for aggregate net settlement.

Certain of our standardized contracts for over-the-counter derivative transactions (“ISDA Master Agreements”) contain credit risk related contingent provisions pertaining to each counterparty’s credit rating. In some ISDA Master Agreements, if the counterparty’s credit rating, or in some agreements, our assets under management (“AUM”), falls below a specified threshold, either a default or a termination event permitting us or the counterparty to terminate the ISDA Master Agreement would be triggered. In all agreements that provide for collateralization, various levels of collateralization of net liability positions are applicable, depending on the credit rating of the counterparty. As of September 30, 2021 and December 31, 2020, we delivered $3.4 million and $6.4 million, respectively, of cash collateral into brokerage accounts. We report this cash collateral in cash and cash equivalents in our condensed consolidated statements of financial condition.

As of September 30, 2021 and December 31, 2020, we held $1.6 million and $7.5 million, respectively, of long exchange-traded equity options, which are included in other investments on our condensed consolidated statements of financial condition. In addition, as of September 30, 2021 and December 31, 2020, we held $0.7 million and $12.5 million, respectively, of short exchange-traded equity options, which are included in securities sold not yet purchased on our condensed consolidated statements of financial condition. Our options desk provides our clients with equity derivative strategies and execution for exchange-traded options on single stocks, exchange-traded funds and indices. While predominately agency-based, the options desk may commit capital to facilitate a client’s transaction. Our options desk hedges the risks associated with this activity by taking offsetting positions in equities. For the three and nine months ended September 30, 2021, we recognized losses of $0.5 million and gains of $2.6 million, respectively, on equity options activity. For the three and nine months ended September 30, 2020, we recognized losses of $4.4 million and $4.5 million, respectively, on equity option activity. These gains and losses are recognized in investment gains (losses) in the condensed consolidated statements of income.


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10.     Offsetting Assets and Liabilities

See Note 14, Consolidated Company-Sponsored Investment Funds, for disclosure of offsetting assets and liabilities of our consolidated company-sponsored investment funds.

Offsetting of assets as of September 30, 2021 and December 31, 2020 was as follows:
 
 Gross Amounts of Recognized AssetsGross Amounts Offset in the Statement of Financial ConditionNet Amounts of Assets Presented in the Statement of Financial ConditionFinancial
Instruments Collateral
Cash Collateral
Received
Net
Amount
 (in thousands)
September 30, 2021:
Securities borrowed$15,384 $— $15,384 $(14,161)$— $1,223 
Derivatives$18,159 $— $18,159 $— $(2,712)$15,447 
Long exchange-traded options$1,569 $— $1,569 $— $— $1,569 
December 31, 2020:      
Securities borrowed$7,808 $— $7,808 $(7,344)$— $464 
Derivatives$21,741 $— $21,741 $— $(380)$21,361 
Long exchange-traded options$7,527 $— $7,527 $— $— $7,527 
Offsetting of liabilities as of September 30, 2021 and December 31, 2020 was as follows:
 Gross Amounts of Recognized LiabilitiesGross Amounts Offset in the Statement of Financial ConditionNet Amounts of Liabilities Presented in the Statement of Financial ConditionFinancial
Instruments Collateral
Cash Collateral
Pledged
Net Amount
 (in thousands)
September 30, 2021:
Derivatives$15,276 $— $15,276 $— $(3,354)$11,922 
Short exchange-traded options$701 $— $701 $— $— $701 
December 31, 2020:      
Derivatives$30,537 $— $30,537 $— $(6,374)$24,163 
Short exchange-traded options$12,486 $— $12,486 $— $— $12,486 

Cash collateral, whether pledged or received on derivative instruments, is not considered material and, accordingly, is not disclosed by counterparty.
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11.     Fair Value

See Note 14, Consolidated Company-Sponsored Investment Funds, for disclosure of fair value of our consolidated company-sponsored investment funds.

Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability (i.e., the “exit price”) in an orderly transaction between market participants at the measurement date. The three broad levels of fair value hierarchy are as follows:

•    Level 1 – Quoted prices in active markets are available for identical assets or liabilities as of the reported date.

•    Level 2 – Quoted prices in markets that are not active or other pricing inputs that are either directly or indirectly observable as of the reported date.

•    Level 3 –  Prices or valuation techniques that are both significant to the fair value measurement and unobservable as of the reported date. These financial instruments do not have two-way markets and are measured using management’s best estimate of fair value, where the inputs into the determination of fair value require significant management judgment or estimation.
Assets and Liabilities Measured at Fair Value on a Recurring Basis

Valuation of our financial instruments by pricing observability levels as of September 30, 2021 and December 31, 2020 was as follows (in thousands):
 Level 1Level 2Level 3
NAV Expedient(1)
Other Total
September 30, 2021:
Money markets$152,335 $— $— $— $— $152,335 
Securities segregated (U.S. Treasury Bills)— 907,999 — — — 907,999 
Derivatives 2,280 15,879 — — — 18,159 
Investments:
  Equity securities 116,131 17,748 127 156 — 134,162 
Long exchange-traded options1,569 — — — — 1,569 
   Limited partnership hedge funds(2)
— — — — 52,923 52,923 
   Time deposits(3)
— — — — 19,054 19,054 
   Other investments8,137 — — — 7,273 15,410 
Total investments125,837 17,748 127 156 79,250 223,118 
Total assets measured at fair value$280,452 $941,626 $127 $156 $79,250 $1,301,611 
Securities sold not yet purchased:    
Short equities – corporate$1,881 $— $— $— $— $1,881 
Short exchange-traded options701 — — — — 701 
Derivatives448 14,828 — — — 15,276 
Contingent payment arrangements— — 38,023 — — 38,023 
Total liabilities measured at fair value$3,030 $14,828 $38,023 $ $ $55,881 
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 Level 1Level 2Level 3
NAV Expedient(1)
Other Total
December 31, 2020:
Money markets$130,675 $— $— $— $— $130,675 
Securities segregated (U.S. Treasury Bills)— 1,752,906 — — — 1,752,906 
Derivatives 118 21,623 — — — 21,741 
Investments:
  Equity securities147,705 17,565 125 161 — 165,556 
  Long exchange-traded options7,527 — — — — 7,527 
    Limited partnership hedge funds(2)
— — — — 42,408 42,408 
    Time deposits(3)
— — — — 18,602 18,602 
    Other investments7,011 — — — 12,271 19,282 
Total investments162,243 17,565 125 161 73,281 253,375 
Total assets measured at fair value$293,036 $1,792,094 $125 $161 $73,281 $2,158,697 
Securities sold not yet purchased:    
Short equities – corporate$5,305 $— $— $— $— $5,305 
Short exchange-traded options12,486 — — — — 12,486 
Derivatives1,834 28,703 — — — 30,537 
Contingent payment arrangements— — 27,750 — — 27,750 
Total liabilities measured at fair value$19,625 $28,703 $27,750 $ $ $76,078 

(1) Investments measured at fair value using NAV (or its equivalent) as a practical expedient.
(2) Investments in equity method investees that are not measured at fair value in accordance with GAAP.
(3) Investments carried at amortized cost that are not measured at fair value in accordance with GAAP.

Other investments include (i) an investment in a software publishing company that does not have a readily available fair value ($2.2 million and $2.1 million as of September 30, 2021 and December 31, 2020, respectively), (ii) investment in a start-up company that does not have a readily available fair value (this investment was $0.3 million as of both September 30, 2021 and December 31, 2020), (iii) investments in equity method investees that are not measured at fair value in accordance with GAAP ($2.0 million and $6.5 million as of September 30, 2021 and December 31, 2020, respectively), and (iv) broker dealer exchange memberships that are not measured at fair value in accordance with GAAP ($2.7 million and $3.3 million as of September 30, 2021 and December 31, 2020, respectively).
We provide below a description of the fair value methodologies used for instruments measured at fair value, as well as the general classification of such instruments pursuant to the valuation hierarchy:

•    Money markets: We invest excess cash in various money market funds that are valued based on quoted prices in active markets; these are included in Level 1 of the valuation hierarchy.

•    Treasury Bills: We hold U.S. Treasury Bills, which are primarily segregated in a special reserve bank custody account as required by Rule 15c3-3 of the Exchange Act. These securities are valued based on quoted yields in secondary markets and are included in Level 2 of the valuation hierarchy.

•    Equity securities: Our equity securities consist principally of company-sponsored mutual funds with NAVs and various separately-managed portfolios consisting primarily of equity and fixed income mutual funds with quoted prices in active markets, which are included in Level 1 of the valuation hierarchy. In addition, some securities are valued based on observable inputs from recognized pricing vendors, which are included in Level 2 of the valuation hierarchy.

•    Derivatives: We hold exchange-traded futures with counterparties that are included in Level 1 of the valuation hierarchy. In addition, we also hold currency forward contracts, interest rate swaps, credit default swaps, option swaps
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and total return swaps with counterparties that are valued based on observable inputs from recognized pricing vendors, which are included in Level 2 of the valuation hierarchy.

•    Options: We hold long exchange-traded options that are included in Level 1 of the valuation hierarchy.

•    Securities sold not yet purchased: Securities sold not yet purchased, primarily reflecting short positions in equities and exchange-traded options, are included in Level 1 of the valuation hierarchy.

•    Contingent payment arrangements: Contingent payment arrangements relate to contingent payment liabilities associated with various acquisitions. At each reporting date, we estimate the fair values of the contingent consideration expected to be paid based upon probability-weighted AUM and revenue projections, using unobservable market data inputs, which are included in Level 3 of the valuation hierarchy.
During the nine months ended September 30, 2021 there were no transfers between Level 2 and Level 3 securities.
The change in carrying value associated with Level 3 financial instruments carried at fair value, classified as equity securities, is as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
 (in thousands)
Balance as of beginning of period$126 $114 $125 $119 
Purchases— — — — 
Sales— — — — 
Realized gains (losses), net— — — — 
Unrealized gains (losses), net
Balance as of end of period$127 $121 $127 $121 

Realized and unrealized gains and losses on Level 3 financial instruments are recorded in investment gains and losses in the condensed consolidated statements of income.
As part of acquisitions made by the Company, we may enter into contingent consideration arrangements as part of the purchase price. The change in carrying value associated with Level 3 financial instruments carried at fair value, classified as contingent payment arrangements, is as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
 (in thousands)
Balance as of beginning of period$37,184 $28,910 $27,750 $22,911 
Addition— — 7,800 4,400 
Accretion839 813 2,473 2,412 
Payments— — — — 
Balance as of end of period$38,023 $29,723 $38,023 $29,723 

The liabilities were valued using expected revenue growth rates and discount rates. As of September 30, 2021, the expected revenue growth rates range from 2.0% to 83.9%, with a weighted average of 13.0%, calculated using cumulative revenues and range of revenue growth rates (excluding revenue growth from additional AUM contributed in year of acquisition). The discount rates ranged from 1.9% to 10.4%, with a weighted average of 6.6%, calculated using total contingent liabilities and range of discount rates. As of September 30, 2020 the expected revenue growth rates ranged from 0.7% to 50.0%, with a weighted average of 4.9%, calculated using cumulative revenues and a range of revenue growth rates (excluding revenue growth from additional AUM contributed from existing clients). The discount rates ranged from 1.9% to 10.4%, with a weighted average of 8.0%, calculated using total contingent liabilities and range of discount rates.
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Assets and Liabilities Measured at Fair Value on a Nonrecurring Basis

We did not have any material assets or liabilities that were measured at fair value for impairment on a nonrecurring basis during the nine months ended September 30, 2021 or during the year ended December 31, 2020.

12.     Commitments and Contingencies

Legal Proceedings

With respect to all significant litigation matters, we consider the likelihood of a negative outcome. If we determine the likelihood of a negative outcome is probable and the amount of the loss can be reasonably estimated, we record an estimated loss for the expected outcome of the litigation. If the likelihood of a negative outcome is reasonably possible and we can determine an estimate of the possible loss or range of loss in excess of amounts already accrued, if any, we disclose that fact together with the estimate of the possible loss or range of loss. However, it is often difficult to predict the outcome or estimate a possible loss or range of loss because litigation is subject to inherent uncertainties, particularly when plaintiffs allege substantial or indeterminate damages. Such is also the case when the litigation is in its early stages or when the litigation is highly complex or broad in scope. In these cases, we disclose that we are unable to predict the outcome or estimate a possible loss or range of loss.

AB may be involved in various matters, including regulatory inquiries, administrative proceedings and litigation, some of which may allege significant damages. It is reasonably possible that we could incur losses pertaining to these matters, but we cannot currently estimate any such losses.

Management, after consultation with legal counsel, currently believes that the outcome of any individual matter that is pending or threatened, or all of them combined, will not have a material adverse effect on our results of operations, financial condition or liquidity. However, any inquiry, proceeding or litigation has an element of uncertainty; management cannot determine whether further developments relating to any individual matter that is pending or threatened, or all of them combined, will have a material adverse effect on our results of operation, financial condition or liquidity in any future reporting period.
13.     Leases

We lease office space, furniture and office equipment under various operating and financing leases. Our current leases have remaining lease terms of one year to 15 years, some of which include options to extend the leases for up to five years, and some of which include options to terminate the leases within one year. Since 2010, we have sub-leased over one million square feet of office space.
Leases included in the condensed consolidated statement of financial condition as of September 30, 2021 and December 31, 2020 were as follows:
ClassificationSeptember 30, 2021December 31, 2020
(in thousands)
Operating Leases
Operating lease right-of-use assetsRight-of-use assets$428,268 $416,007 
Operating lease liabilitiesLease liabilities500,821 503,174 
Finance Leases
Property and equipment, grossRight-of-use assets8,005 5,167 
Amortization of right-of-use assetsRight-of-use assets(2,327)(2,719)
Property and equipment, net5,678 2,448 
Finance lease liabilities Lease liabilities5,742 2,375 
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The components of lease expense included in the condensed consolidated statement of income as of September 30, 2021 and September 30, 2020 were as follows:
Three Months Ended September 30,Nine Months Ended September 30,
Classification2021202020212020
(in thousands)
Operating lease costGeneral and administrative$23,992 $22,104 $73,039 $67,519 
Financing lease cost:
Amortization of right-of-use assetsGeneral and administrative631 426 1,611 1,329 
Interest on lease liabilitiesInterest expense24 20 67 69 
Total finance lease cost655 446 1,678 1,398 
Variable lease cost (1)
General and administrative9,763 9,342 29,653 28,652 
Sublease incomeGeneral and administrative(9,550)(9,579)(28,863)(28,820)
Net lease cost$24,860 $22,313 $75,507 $68,749 
(1) Variable lease expense includes operating expenses, real estate taxes and employee parking.
The sub-lease income represents all revenues received from sub-tenants. It is primarily fixed base rental payments combined with variable reimbursements such as operating expenses, real estate taxes and employee parking. We derive most of our sub-tenant income from our New York metro sub-tenant agreements. Sub-tenant income related to base rent is recorded on a straight-line basis. 
Maturities of lease liabilities were as follows:
Operating LeasesFinancing LeasesTotal
Year ending December 31,(in thousands)
2021 (excluding the nine months ended September 30, 2021)$24,205 $523 $24,728 
2022103,005 2,003 105,008 
202395,398 1,740 97,138 
202498,179 896 99,075 
202532,563 599 33,162 
Thereafter198,781 111 198,892 
Total lease payments552,131 5,872 558,003 
Less interest(51,310)(130)
Present value of lease liabilities$500,821 $5,742 
We have signed a lease which commences in 2024, relating to approximately 166,000 square feet of space in New York City. Our estimated total base rent obligation (excluding taxes, operating expenses and utilities) over the 20-year lease term is approximately $393.0 million.
Lease term and discount rate:
Weighted average remaining lease term (years):
Operating leases7.60
Finance leases3.31
Weighted average discount rate:
Operating leases2.81 %
Finance leases1.54 %
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Supplemental cash flow information related to leases was as follows:
Nine Months Ended September 30,
20212020
(in thousands)
Cash paid for amounts included in the measurement of lease liabilities:
Operating cash flows used for operating leases$87,654 $86,452 
Operating cash flows used for financing leases67 69 
Financing cash flows used for finance leases1,473 1,418 
Right-of-use assets obtained in exchange for lease obligations(1):
Operating leases 74,305 2,369 
Finance leases4,840 1,695 
(1) Represents supplemental non-cash information on lease liabilities arising from obtaining right-of-use assets.
14. Consolidated Company-Sponsored Investment Funds

We regularly provide seed capital to new company-sponsored investment funds. As such, we may consolidate or de-consolidate a variety of company-sponsored investment funds each quarter. Due to the similarity of risks related to our involvement with each company-sponsored investment fund, disclosures required under the VIE model are aggregated, such as disclosures regarding the carrying amount and classification of assets.
We are not required to provide financial support to company-sponsored investment funds, and only the assets of such funds are available to settle each fund's own liabilities. Our exposure to loss regarding consolidated company-sponsored investment funds is limited to our investment in, and our management fee earned from, such funds. Equity and debt holders of such funds have no recourse to AB’s assets or to the general credit of AB.
The balances of consolidated VIEs and VOEs included in our condensed consolidated statements of financial condition were as follows:
September 30, 2021December 31, 2020
(in thousands)
VIEsVOEsTotalVIEsVOEsTotal
Cash and cash equivalents$32,904 $— $32,904 $36,370 $136 $36,506 
Investments276,199 — 276,199 242,541 60,041 302,582 
Other assets12,797 — 12,797 4,859 7,385 12,244 
Total assets$321,900 $ $321,900 $283,770 $67,562 $351,332 
Liabilities$32,594 $— $32,594 $7,741 $22,879 $30,620 
Redeemable non-controlling interest117,804 — 117,804 82,753 19,606 102,359 
Partners' capital attributable to AB Unitholders171,502 — 171,502 193,276 25,077 218,353 
Total liabilities, redeemable non-controlling interest and partners' capital$321,900 $ $321,900 $283,770 $67,562 $351,332 
During the third quarter of 2021, we deconsolidated one fund in which we had a seed investment of approximately $3.6 million as of December 31, 2020 due to no longer having a controlling financial interest.
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Fair Value
Cash and cash equivalents include cash on hand, demand deposits, overnight commercial paper and highly liquid investments with original maturities of three months or less. Due to the short-term nature of these instruments, the recorded value has been determined to approximate fair value.

Valuation of consolidated company-sponsored investment funds' financial instruments by pricing observability levels as of September 30, 2021 and December 31, 2020 was as follows (in thousands):
 Level 1Level 2Level 3Total
September 30, 2021:
  Investments - VIEs$61,230 $214,969 $— $276,199 
  Derivatives - VIEs804 3,677 — 4,481 
Total assets measured at fair value$62,034 $218,646 $ $280,680 
Derivatives - VIEs18,383 3,284 — 21,667 
Total liabilities measured at fair value$18,383 $3,284 $ $21,667 
December 31, 2020:
  Investments - VIEs$73,909 $168,114 $518 $242,541 
  Investments - VOEs— 59,940 101 60,041 
  Derivatives - VIEs442 2,782 — 3,224 
  Derivatives - VOEs— 464 — 464 
Total assets measured at fair value$74,351 $231,300 $619 $306,270 
Derivatives - VIEs$1,649 $5,244 $— $6,893 
  Derivatives - VOEs— 664 — 664 
Total liabilities measured at fair value$1,649 $5,908 $ $7,557 

See Note 11 for a description of the fair value methodologies used for instruments measured at fair value, as well as the general classification of such instruments pursuant to the valuation hierarchy.

The change in carrying value associated with Level 3 financial instruments carried at fair value within consolidated company-sponsored investment funds was as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
 (in thousands)
Balance as of beginning of period$210 $517 $619 $854 
Deconsolidated funds— — (717)(135)
Transfers (out) in, net(202)(6)(212)565 
Purchases— 61 323 107 
Sales(4)(7)(7)(451)
Realized gains (losses), net— (7)(21)
Unrealized gains (losses), net(4)39 (9)(323)
Accrued discounts— — — 
Balance as of end of period$ $597 $ $597 

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The Level 3 securities primarily consist of corporate bonds that are vendor priced with no ratings available, bank loans, non-agency collateralized mortgage obligations and asset-backed securities.

Transfers into and out of all levels of the fair value hierarchy are reflected at end-of-period fair values. Realized and unrealized gains and losses on Level 3 financial instruments are recorded in investment gains and losses in the condensed consolidated statements of income.

Derivative Instruments
As of September 30, 2021 and December 31, 2020, the VIEs held $17.2 million and $3.7 million (net), respectively, of futures, forwards and swaps within their portfolios. For the three and nine months ended September 30, 2021, we recognized $1.5 million and $0.8 million of losses, respectively, on these derivatives. For the three and nine months ended September 30, 2020, we recognized $0.6 million of gains and $0.1 million of losses, respectively, on these derivatives. These gains and losses are recognized in investment gains (losses) in the condensed consolidated statements of income.
As of September 30, 2021 and December 31, 2020, the VIEs held $1.0 million and $0.5 million, respectively, of cash collateral payable to trade counterparties. This obligation to return cash is reported in the liabilities of consolidated company-sponsored investment funds in our condensed consolidated statements of financial condition.
As of September 30, 2021 and December 31, 2020, the VIEs delivered $1.1 million and $4.2 million, respectively, of cash collateral into brokerage accounts. The VIEs report this cash collateral in the consolidated company-sponsored investment funds cash and cash equivalents in our condensed consolidated statements of financial condition.
As of September 30, 2021 and December 31, 2020, the VOEs held zero and $0.2 million (net), respectively, of futures, forwards, options and swaps within their portfolios. For the three and nine months ended September 30, 2021, we recognized zero and $0.9 million of gains, respectively, on these derivatives. For the three and nine months ended September 30, 2020, we recognized $1.3 million and $2.2 million of losses, respectively, on these derivatives. These gains and losses are recognized in investment gains (losses) in the condensed consolidated statements of income.
As of both September 30, 2021 and December 31, 2020, the VOEs held no cash collateral payable to trade counterparties. This obligation to return cash is reported in the liabilities of consolidated company-sponsored investment funds in our condensed consolidated statements of financial condition.
As of September 30, 2021 and December 31, 2020, the VOEs delivered zero and $0.1 million, respectively, of cash collateral in brokerage accounts. The VOEs report this cash collateral in the consolidated company-sponsored investment funds cash and cash equivalents in our condensed consolidated statements of financial condition.
Offsetting Assets and Liabilities
Offsetting of derivative assets of consolidated company-sponsored investment funds as of September 30, 2021 and December 31, 2020 was as follows:
 
 Gross Amounts of Recognized AssetsGross Amounts Offset in the Statement of Financial ConditionNet Amounts of Assets Presented in the Statement of Financial ConditionFinancial
Instruments Collateral
Cash Collateral
Received
Net
Amount
 (in thousands)
September 30, 2021:
Derivatives - VIEs$4,481 $— $4,481 $— $(1,005)$3,476 
December 31, 2020:     
Derivatives - VIEs$3,224 $— $3,224 $— $(513)$2,711 
Derivatives - VOEs$464 $— $464 $— $— $464 

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Offsetting of derivative liabilities of consolidated company-sponsored investment funds as of September 30, 2021 and December 31, 2020 was as follows:
 Gross Amounts of Recognized LiabilitiesGross Amounts Offset in the Statement of Financial ConditionNet Amounts of Liabilities Presented in the Statement of Financial ConditionFinancial
Instruments Collateral
Cash Collateral
Pledged
Net Amount
 (in thousands)
September 30, 2021:
Derivatives - VIEs$21,667 $— $21,667 $— $(1,075)$20,592 
December 31, 2020:     
Derivatives - VIEs$6,893 $— $6,893 $— $(4,201)$2,692 
Derivatives - VOEs$664 $— $664 $— $(138)$526 

Cash collateral, whether pledged or received on derivative instruments, is not considered material and, accordingly, is not disclosed by counterparty.
Non-Consolidated VIEs
As of September 30, 2021, the net assets of company-sponsored investment products that are non-consolidated VIEs are approximately $70.4 billion, and our maximum risk of loss is our investment of $8.3 million in these VIEs and our advisory fee receivables from these VIEs is $74.9 million.

15.     Units Outstanding

Changes in AB Units outstanding during the nine-month period ended September 30, 2021 were as follows:
 
Outstanding as of December 31, 2020270,509,658 
Options exercised143,211 
Units issued3,041,072 
Units retired(1)
(2,758,477)
Outstanding as of September 30, 2021270,935,464 
(1) During the nine months ended September 30, 2021, we purchased 5,400 AB Units in private transactions and retired them.

16.     Debt

AB has an $800.0 million committed, unsecured senior revolving credit facility (the “Credit Facility”) with a group of commercial banks and other lenders, which matures on September 27, 2023. Subsequent to September 30, 2021, AB amended and restated its existing credit facility agreement (refer to Note 18 Subsequent Events for further details). The Credit Facility provides for possible increases in the principal amount by up to an aggregate incremental amount of $200.0 million; any such increase is subject to the consent of the affected lenders. The Credit Facility is available for AB and Sanford C. Bernstein & Co., LLC ("SCB LLC") business purposes, including the support of AB’s commercial paper program. Both AB and SCB LLC can draw directly under the Credit Facility, and management may draw on the Credit Facility from time to time. AB has agreed to guarantee the obligations of SCB LLC under the Credit Facility.

The Credit Facility contains affirmative, negative and financial covenants, which are customary for facilities of this type, including restrictions on dispositions of assets, restrictions on liens, a minimum interest coverage ratio and a maximum leverage ratio. As of September 30, 2021, we were in compliance with these covenants. The Credit Facility also includes customary events of default (with customary grace periods, as applicable), including provisions under which, upon the occurrence of an event of default, all outstanding loans may be accelerated and/or lender’s commitments may be terminated. Also, under such provisions, upon the occurrence of certain insolvency- or bankruptcy-related events of
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default, all amounts payable under the Credit Facility would automatically become immediately due and payable, and the lender’s commitments automatically would terminate.

Amounts under the Credit Facility may be borrowed, repaid and re-borrowed by us from time to time until the maturity of the facility. Voluntary prepayments and commitment reductions requested by us are permitted at any time without a fee (other than customary breakage costs relating to the prepayment of any drawn loans) upon proper notice and subject to a minimum dollar requirement. Borrowings under the Credit Facility bear interest at a rate per annum, which will be, at our option, a rate equal to an applicable margin, which is subject to adjustment based on the credit ratings of AB, plus one of the following indices: London Interbank Offered Rate; a floating base rate; or the Federal Funds rate.

As of September 30, 2021 and December 31, 2020, we had no amounts outstanding under the Credit Facility. Furthermore, during the first nine months of 2021 and the full year 2020, we did not draw upon the Credit Facility.

AB also has a $900.0 million committed, unsecured senior credit facility (“EQH Facility”) with EQH. The EQH Facility matures on November 4, 2024 and is available for AB's general business purposes. Borrowings under the EQH Facility generally bear interest at a rate per annum based on prevailing overnight commercial paper rates.

The EQH Facility contains affirmative, negative and financial covenants which are substantially similar to those in AB’s committed bank facilities. The EQH Facility also includes customary events of default substantially similar to those in AB’s committed bank facilities, including provisions under which, upon the occurrence of an event of default, all outstanding loans may be accelerated and/or the lender’s commitment may be terminated.

Amounts under the EQH Facility may be borrowed, repaid and re-borrowed by us from time to time until the maturity of the facility. AB or EQH may reduce or terminate the commitment at any time without penalty upon proper notice. EQH also may terminate the facility immediately upon a change of control of our general partner.

As of September 30, 2021 and December 31, 2020, AB had $390.0 million and $675.0 million outstanding under the EQH Facility, in each case with an interest rate of approximately 0.2%. Average daily borrowings on the EQH Facility for the first nine months of 2021 and the full year 2020 were $434.0 million and $470.8 million, respectively, with weighted average interest rates of approximately 0.2% and 0.5%, respectively.

In addition to the EQH Facility, on September 1, 2020, AB established a new $300.0 million uncommitted, unsecured senior credit facility (“EQH Uncommitted Facility”) with EQH. The EQH Uncommitted Facility matures on September 1, 2024 and is available for AB's general business purposes. Borrowings under the EQH Unsecured Facility generally bear interest at a rate per annum based on prevailing overnight commercial paper rates. The EQH Uncommitted Facility contains affirmative, negative and financial covenants which are substantially similar to those in the EQH Facility. As of September 30, 2021 and December 31, 2020, we had no amounts outstanding under the EQH Uncommitted Facility. Furthermore, during the first nine months of 2021 and the full year 2020, we did not draw upon the EQH Uncommitted Facility.

As of September 30, 2021 and December 31, 2020, we had no commercial paper outstanding. The commercial paper is short term in nature, and as such, recorded value is estimated to approximate fair value (and considered a Level 2 security in the fair value hierarchy). Average daily borrowings of commercial paper during the first nine months of 2021 and full year 2020 were $151.7 million and $83.2 million, respectively, with weighted average interest rates of approximately 0.2% and 0.4%, respectively.

AB has a $200.0 million committed, unsecured senior revolving credit facility (the "Revolver") with a leading international bank, which matures on November 16, 2021 and we do not expect to renew this facility. The Revolver is available for AB's and SCB LLC's business purposes, including the provision of additional liquidity to meet funding requirements primarily related to SCB LLC's operations. Both AB and SCB LLC can draw directly under the Revolver and management expects to draw on the Revolver from time to time. AB has agreed to guarantee the obligations of SCB LLC under the Revolver. The Revolver contains affirmative, negative and financial covenants that are identical to those of the Credit Facility. Borrowings under the Revolver bear interest at a rate per annum, which will be, at our option, a rate equal to an applicable margin, which is subject to adjustment based on the credit ratings of AB, plus one of the following indices: London Interbank Offered Rate; a floating base rate; or the Federal Funds rate. As of both September 30, 2021 and December 31, 2020, we had no amounts outstanding under the Revolver. Average daily borrowings under the Revolver during the first nine months of 2021 and full year 2020 were $17.3 million and $16.5 million, respectively, with weighted average interest rates of approximately 1.1% and 1.6%, respectively.

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On September 28, 2021, AB established a $100.0 million uncommitted line of credit with a financial institution. This line of credit matures on September 27, 2022 and is available for AB's and SCB LLC's business purposes. Both AB and SCB LLC can draw directly under this line. AB has agreed to guarantee the obligations of SCB LLC under this line of credit. As of September 30, 2021, we had no amounts outstanding under this line of credit and have not drawn on it since inception. Subsequent to September 30, 2021, we entered into one additional uncommitted line of credit (refer to Note 18 Subsequent Events for further details).

In addition, SCB LLC currently has three uncommitted lines of credit with three financial institutions. Two of these lines of credit permit us to borrow up to an aggregate of approximately $165.0 million, with AB named as an additional borrower, while the other line has no stated limit. As of September 30, 2021 and December 31, 2020, SCB LLC had no outstanding balance on these lines of credit. We did not draw on these lines of credit during the first nine months of 2021. Average daily borrowings during the full year 2020 were $0.9 million with a weighted average interest rate of approximately 1.6%.

17.    Non-controlling Interests

Non-controlling interest in net (loss) income for the three and nine months ended September 30, 2021 and 2020 consisted of the following:
Three Months Ended September 30,Nine Months Ended September 30,
2021202020212020
(in thousands)
Redeemable non-controlling interests:
    Consolidated company-sponsored investment funds(1,074)81 $2,207 $(4,550)
Total non-controlling interest in net (loss) income $(1,074)$81 $2,207 $(4,550)

Redeemable non-controlling interest as of September 30, 2021 and December 31, 2020 consisted of the following:
September 30, 2021December 31, 2020
(in thousands)
Consolidated company-sponsored investment funds$117,804 $102,359 
Total redeemable non-controlling interest $117,804 $102,359 
    

18. Subsequent Events

Credit Facility

On October 13, 2021, AB amended and restated the existing Credit Facility agreement, extending the maturity date from September 27, 2023 to October 13, 2026. There were no other significant changes included in the amendment.

Uncommitted Line of Credit

On October 11, 2021, AB established a $50.0 million uncommitted line of credit with a financial institution. This line of credit is available for AB's and SCB LLC's business purposes. Both AB and SCB LLC can draw directly under this line and management expects to draw on it from time to time. AB has agreed to guarantee the obligations of SCB LLC under this line of credit.
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Item 2.     Management's Discussion and Analysis of Financial Condition and Results of Operations

Impact of COVID-19
General Economic Conditions
During the first quarter of 2020, COVID-19 significantly impacted the global economy. The impact has been profound, has continued through the first nine months of 2021, and may persist for months to come. While most businesses have re-opened, vaccinations are progressing in most portions of the world and leading economic indicators have improved significantly, the overall extent and duration of COVID-19's impact on businesses and economic activity generally remains unclear.
Various countries around the world, and certain areas in the U.S., have continued to experience surges in the rates of COVID-19 infections, which have resulted from the emergence and spread of virus variants (particularly the "delta variant"), greatly increased social interactions, including at colleges and universities and social venues, after re-opening of economies, and decreased usage of mitigation techniques, such as mask-wearing and social distancing, in combination with large portions of the population remaining unvaccinated. These ongoing circumstances surrounding the virus may adversely affect consumer sentiment and the durability of business re-openings, and they also may slow economic recovery and possibly cause additional market volatility and even a new downturn.

AB Impact
At the onset of COVID-19 during the first quarter of 2020, we quickly responded in the various jurisdictions where we operate, including the U.S., the U.K., Tokyo, Hong Kong, Shanghai, Singapore and Taiwan. We implemented business continuity measures, including travel restrictions and a work-from-home requirement for almost all personnel (other than a relatively small number of employees whose physical presence in our offices was considered critical), which generally remained in place throughout 2020 and the first nine months of 2021 to ensure operating continuity for all critical functions. During the third quarter of 2021, we began implementing gradual return to office programs for our U.S. and European offices. However, we continue to monitor the daily evolution of the pandemic, including the spread of the delta variant, in order to ensure the health and safety of our employees remains our top priority. We will modify our return to office plans, as needed, to ensure the safety of our employees and to ensure that the highest safety and cleanliness protocols are followed. We believe that our business continuity plan and technology platform will continue to support the effectiveness of our employees working remotely to the extent that we continue that arrangement.
Additionally, we instituted a notification process in 2020, which persists today, for any employee who tests positive for COVID-19 or has been exposed to someone else who has tested positive. As the COVID-19 crisis has continued to evolve since the lockdown in the first quarter of 2020, certain key functions of the business, such as Risk Management, Business Continuity, Finance and Human Capital, have maintained constant communication and monitored the evolution of the pandemic to keep our employees safe and disseminate information regarding key developments. We also continue to monitor communications from the World Health Organization and the U.S. Centers for Disease Control and Prevention to ensure we have current information.
Furthermore, we have continued to enhance our virtual programs to support business functions, such as training on cybersecurity and enhancements to our existing technology platforms, which has increased the effectiveness of our remote work force. There has been a heightened focus on the emotional well-being of our employees, and we have provided regular touch points with employees through virtual town halls and management communications. Additionally, we have maintained regular communications and updates on the virus and the Company's response, which are posted on the Company's internal website, to ensure transparent communication with our employees.
The economic impact of COVID-19 and any additional declines in the financial markets could have a significant adverse effect on our AUM and revenues, particularly if economic activity does not continue to recover. Although countries throughout the world continue to grapple with re-opening their economies, there is a significant risk that the opening process may be interrupted or reversed if infection rates increase. Also, although unemployment rates have declined, they are still somewhat elevated and any reluctance of consumers to resume spending could do long-term damage to the global economy, which would have an adverse effect on our business. Additionally, as most of our workforce continues working remotely, at least part of the time, we are mindful of increased risk related to cybersecurity, which could significantly disrupt our business functions.
Ultimately, the return to normal business and economic activity will likely require the broad application of effective vaccines. The distribution of multiple safe, effective vaccines was initiated towards the end of the fourth quarter of 2020 and the distribution of such vaccines generally increased globally through the first nine months of 2021. However, the rate of new vaccinations in the U.S. plateaued, and in some areas began to decrease, by the end of the second quarter of 2021. If global vaccination rates do not improve further, a significant risk will remain that COVID-19 and/or a variant thereof, could accelerate global health concerns and, in so doing, cause heightened market and economic turmoil in the future.
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Executive Overview
Our total assets under management (“AUM”) as of September 30, 2021 were $742.2 billion, up $3.8 billion, or 0.5%, compared to June 30, 2021, and up $111.4 billion, or 17.7%, compared to September 30, 2020. During the third quarter of 2021, AUM increased as a result of net inflows of $7.2 billion, offset by market depreciation of $3.4 billion (Retail net inflows of $6.6 billion, Private Wealth Management net inflows of $0.4 billion and Institutional net inflows of $0.2 billion). During the twelve months ended September 30, 2021, AUM increased as a result of market appreciation of $89.5 billion and net inflows of $21.9 billion (Retail net inflows of $13.8 billion, Institutional net inflows of $6.9 billion and Private Wealth Management net inflows of $1.2 billion). Excluding AXA S.A.'s ("AXA") redemption of low-fee fixed income mandates of $2.0 billion, the firm generated net inflows of $23.9 billion during the twelve months ended September 30, 2021. We expect new redemptions by AXA of low-fee retail AUM in the first half of 2022 of approximately $5 billion.

Institutional AUM decreased $1.6 billion, or 0.5%, to $327.5 billion during the third quarter of 2021, due to market depreciation of $1.8 billion, offset by net inflows of $0.2 billion. Gross sales decreased sequentially from $17.6 billion during the second quarter of 2021 to $2.6 billion during the third quarter of 2021. Redemptions and terminations decreased sequentially from $13.7 billion to $2.9 billion. The significant sequential change in sales and redemptions primarily resulted from the second quarter of 2021 including $8.7 billion in sales and $10.0 billion in redemptions associated with a sale by Equitable Holdings, Inc ("EQH") to Venerable Holdings, of its legacy variable annuity assets, for which AB remained the preferred investment manager.

Retail AUM increased $5.1 billion, or 1.7%, to $298.8 billion during the third quarter of 2021, due to net inflows of $6.6 billion, offset by market depreciation of $1.5 billion. Gross sales increased sequentially from $23.8 billion during the second quarter of 2021 to $25.6 billion during the third quarter of 2021. Redemptions and terminations decreased sequentially from $15.3 billion to $15.0 billion.

Private Wealth Management AUM increased $0.3 billion, or 0.3%, to $115.9 billion during the third quarter of 2021, due to net inflows of $0.4 billion, offset by market depreciation of $0.1 billion. Gross sales increased sequentially from $3.6 billion during the second quarter of 2021 to $4.1 billion during the third quarter of 2021. Redemptions and terminations increased sequentially from $3.4 billion to $3.6 billion.

Bernstein Research Services revenue for the third quarter of 2021 was $113.3 million, up $14.8 million, or 15.0%, compared to the third quarter of 2020 due to higher customer trading activity and research payments across all regions.

Net revenues for the third quarter of 2021 increased $192.8 million, or 21.4%, to $1.1 billion from $900.0 million in the third quarter of 2020. The increase was primarily due to higher investment advisory base fees of $134.9 million, higher distribution revenues of $34.9 million, higher Bernstein Research Services revenue of $14.8 million and higher performance-based fees of $11.3 million, partially offset by investment losses compared to investment gains in the prior year third quarter of $3.8 million. Operating expenses for the third quarter of 2021 increased $130.3 million, or 19.1%, to $813.2 million from $682.9 million in the third quarter of 2020. The increase was primarily due to higher employee compensation and benefits expenses of $76.1 million, higher promotion and servicing expense of $46.5 million and higher general and administrative expenses of $12.7 million, partially offset by lower amortization of intangible assets of $5.3 million. Our operating income increased $62.5 million, or 28.8%, to $279.7 million from $217.1 million and our operating margin increased to 25.7% in the third quarter of 2021 from 24.1% in the third quarter of 2020.

Market Environment
Despite market gains through the majority of the third quarter, U.S. equity markets experienced a seasonal slowdown in September. The S&P 500 finished marginally higher, while both the Dow Jones Industrial Average and Nasdaq each finished the quarter in negative territory. The Federal Reserve signaled it would start tapering its asset purchases by the end of the year and any interest rate hikes will likely not commence until the tapering process is complete. In the U.K., natural gas and fuel shortages were prevalent towards the end of the third quarter. The supply bottlenecks coupled with labor shortages triggered a sharp rise in underlying inflation and led to concerns that the Bank of England may begin raising rates in the near future. In China, investor concerns grew over supply chain disruptions and recent power outages, which led to energy rationing. Furthermore, uncertainty remains around the path of future regulation, particularly as it relates to technology companies.





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MiFID II

In Europe, MiFID II, which has been effective since 2018, has significantly modified how European broker-dealers can be compensated for research. These modifications have significantly reduced the overall research spend by many European buy-side firms, which has decreased the revenues we earn from these clients. If this trend continues, the revenues we earn from our European clients would deplete further.

Also, while MiFID II does not apply outside of Europe, competitive and client pressures may force buy-side firms operating outside of Europe to pay for research from their own resources instead of through bundled trading commissions. If this occurs, research budgets from those clients, as well as our sell-side revenues, may decrease further. Additionally, these pressures could force our buy-side operation to pay for research out of our own revenues instead of through bundled trading commissions, which could increase our firm’s expenses and decrease our operating income.

Lastly, although the impact of MiFID II is largely known, the ultimate, global impact is still uncertain.
Relationship with EQH
AB and EQH are collaborating to each firm's expected mutual benefit to improve the risk-adjusted yield for EQH's General Account by investing more assets at AB, including the utilization of AB's higher-fee, longer-duration alternative offerings. EQH has agreed to provide $10 billion in permanent capital1 over the next three years to build out AB’s private illiquid offerings, including private alternatives and private placements. We expect this anticipated capital from EQH will accelerate both organic and inorganic growth in our private alternatives business, allowing us to continue to deliver for our clients, employees, unitholders and other stakeholders.

Relocation Strategy
We previously announced that we would establish our corporate headquarters in, and relocate approximately 1,250 jobs located in the New York metro area to, Nashville, TN. Our Nashville headquarters houses Finance, IT, Operations, Legal, Compliance, Internal Audit, Human Capital, and Sales and Marketing. We have been actively relocating jobs and expect this transition to take several more years. We are in the process of moving into our new headquarters office building located at 501 Commerce Street in downtown Nashville. We will continue to maintain a principal location in New York City, which houses our Portfolio Management, Sell-Side Research and Trading, and New York-based Private Wealth Management businesses.

We believe relocating our corporate headquarters to Nashville affords us the opportunity to provide an improved quality of life alternative for our employees and enable us to attract and recruit new talented employees to a highly desirable location while improving the long-term cost structure of the firm.

During the transition period, which began in 2018 and is expected to continue through 2024, we currently estimate that we will incur transition costs of approximately $145 million to $155 million. These costs include employee relocation, severance, recruitment, and overlapping compensation and occupancy costs. Over this same period, we expect to realize total expense savings of approximately $205 million to $215 million. However, we did incur some transition costs before we began to realize expense savings. For the period beginning in 2018 and ending in the fourth quarter of 2020, we incurred $70 million of cumulative transition costs compared to $46 million of cumulative savings. In addition, we incurred $20 million of transition costs for the nine months ended September 30, 2021 compared to $31 million of expense savings, resulting in an overall net savings of $11 million for the period. We currently anticipate an EPU increase in 2021 of approximately $0.04 resulting from our relocation strategy, which compares to the $0.01 EPU increase that occurred in 2020. We also expect to achieve EPU accretion in each year thereafter. Beginning in 2025, once the transition period has been completed, we estimate ongoing annual expense savings of approximately $75 million to $80 million, which will result from a combination of occupancy and compensation-related savings. Our estimates for both the transition costs and the corresponding expense savings are based on our current assumptions of employee relocation costs, severance, and overlapping compensation and occupancy costs. In addition, our estimates for both the timing of when we incur transition costs and realize the related expense savings are based on our current relocation implementation plan and the timing for execution of each phase. The actual total charges we eventually record, the related expense savings we realize, and timing of EPU impact may differ from our current estimates as we implement each phase of our headquarters relocation.

1 Permanent capital means investment capital of indefinite duration which may be withdrawn under certain conditions. Although EQH has indicated its intention over time to provide this investment capital to AB, which is mutually beneficial to both firms, it has no binding commitment to do so.
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During October 2018, we signed a lease, which commenced in the fourth quarter of 2020, relating to 218,976 square feet of space at our new Nashville headquarters. Our estimated total base rent obligation (excluding taxes, operating expenses and utilities) over the 15-year initial lease term is $134 million.

Although we have presented our transition costs and annual expense savings with numerical specificity, and we believe these targets to be reasonable as of the date of this report, the uncertainties surrounding the assumptions we discuss above create a significant risk that these targets may not be achieved.  Accordingly, the expenses we actually incur and the savings we actually realize may differ from our targets, particularly if actual events adversely differ from one or more of our key assumptions.  The transition costs and expense savings, together with their underlying assumptions, are Forward-Looking Statements and can be affected by any of the factors discussed in “Risk Factors” and “Cautions Regarding Forward-Looking Statements” in this 10-Q and our 2020 10-K. We strongly caution investors not to place undue reliance on any of these assumptions or our cost and expense targets.  Except as may be required by applicable securities laws, we are not under any obligation, and we expressly disclaim any obligation, to update or alter any assumptions, estimates, financial goals, targets, projections or other related statements that we may make.

Assets Under Management

Assets under management by distribution channel are as follows:
 As of September 30,
 20212020$ Change% Change
 (in billions)
Institutions$327.5 $289.5 $38.0 13.1 %
Retail298.8 242.9 55.9 23.0 
Private Wealth Management115.9 98.4 17.5 17.7 
Total$742.2 $630.8 $111.4 17.7 %

Assets under management by investment service are as follows:
 As of September 30,
 20212020$ Change% Change
 (in billions)
Equity
Actively Managed$260.3 $188.8 $71.5 37.8 %
Passively Managed(1)
69.1 57.5 11.6 20.2 
Total Equity329.4 246.3 83.1 33.7 
Fixed Income   
Actively Managed   
Taxable250.9 253.3 (2.4)(0.9)
Tax–exempt55.3 48.7 6.6 13.7 
 306.2 302.0 4.2 1.4 
Passively Managed(1)
9.5 9.0 0.5 5.5 
Total Fixed Income315.7 311.0 4.7 1.5 
Alternatives/Multi-Asset Solutions(2)
 Actively Managed92.7 71.5 21.2 29.7 
Passively Managed(1)
4.4 2.0 2.4 116.2 
Total Alternatives/Multi-Asset Solutions97.1 73.5 23.6 32.1 
Total$742.2 $630.8 $111.4 17.7 %
(1)Includes index and enhanced index services.
(2)Includes certain multi-asset solutions and services not included in equity or fixed income services. Prior to December 31, 2020, this investment service line was disclosed as “Other.” In order to reflect the increasing significance of our Alternatives and Multi-Asset Solutions services, we updated the investment service line to “Alternatives and Multi-Asset Solutions."

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Changes in assets under management for the three-month, nine-month and twelve-month periods ended September 30, 2021 are as follows:

 Distribution Channel
 InstitutionsRetailPrivate
Wealth Management
Total
 (in billions)
Balance as of June 30, 2021$329.1 $293.7 $115.6 $738.4 
Long-term flows:    
Sales/new accounts2.6 25.6 4.1 32.3 
Redemptions/terminations(2.9)(15.0)(3.6)(21.5)
Cash flow/unreinvested dividends0.5 (4.0)(0.1)(3.6)
Net long-term inflows0.2 6.6 0.4 7.2 
Market depreciation(1.8)(1.5)(0.1)(3.4)
Net change(1.6)5.1 0.3 3.8 
Balance as of September 30, 2021$327.5 $298.8 $115.9 $742.2 
Balance as of December 31, 2020$315.6 $265.3 $105.0 $685.9 
Long-term flows:    
Sales/new accounts25.1 72.4 13.1 110.6 
Redemptions/terminations(19.3)(48.1)(10.7)(78.1)
Cash flow/unreinvested dividends(3.8)(9.9)(0.1)(13.8)
Net long-term inflows(1)
2.0 14.4 2.3 18.7 
Transfers(0.2)0.2 — — 
Market appreciation10.1 18.9 8.6 37.6 
Net change11.9 33.5 10.9 56.3 
Balance as of September 30, 2021$327.5 $298.8 $115.9 $742.2 
Balance as of September 30, 2020$289.5 $242.9 $98.4 $630.8 
Long-term flows:
Sales/new accounts35.0 90.1 16.8 141.9 
Redemptions/terminations(21.3)(63.2)(15.6)(100.1)
Cash flow/unreinvested dividends(6.8)(13.1)— (19.9)
Net long-term inflows(1)
6.9 13.8 1.2 21.9 
Transfers0.5 (0.5)— — 
Market appreciation30.6 42.6 16.3 89.5 
Net change38.0 55.9 17.5 111.4 
Balance as of September 30, 2021$327.5 $298.8 $115.9 $742.2 
(1)Institutional net flows include $1.3 billion and $2.0 billion of AXA's redemptions of certain low-fee fixed income mandates for the nine-month and twelve-month periods ended September 30, 2021, respectively.
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 Investment Service
 Equity
Actively
Managed
Equity
Passively
Managed(1)
Fixed
Income
Actively
Managed -
Taxable
Fixed
Income
Actively
Managed -
Tax-
Exempt
Fixed
Income
Passively
Managed(1)
Alternatives/ Multi-Asset Solutions(2)
Total
 (in billions)
Balance as of June 30, 2021$256.7 $69.5 $252.3 $54.0 $9.3 $96.6 $738.4 
Long-term flows:       
Sales/new accounts17.2 0.5 8.8 3.3 0.4 2.1 32.3 
Redemptions/terminations(9.3)(0.2)(9.2)(1.8)(0.1)(0.9)(21.5)
Cash flow/unreinvested dividends(3.1)(0.6)0.5 — (0.1)(0.3)(3.6)
Net long-term inflows (outflows)4.8 (0.3)0.1 1.5 0.2 0.9 7.2 
Market depreciation(1.2)(0.1)(1.5)(0.2)— (0.4)(3.4)
Net change3.6 (0.4)(1.4)1.3 0.2 0.5 3.8 
Balance as of September 30, 2021$260.3 $69.1 $250.9 $55.3 $9.5 $97.1 $742.2 
Balance as of December 31, 2020$217.8 $64.5 $263.2 $50.3 $8.5 $81.6 $685.9 
Long-term flows:       
Sales/new accounts51.1 1.1 37.5 9.9 1.2 9.8 110.6 
Redemptions/terminations(28.4)(1.0)(41.3)(5.6)(0.3)(1.5)(78.1)
Cash flow/unreinvested dividends(8.6)(4.1)(2.1)0.3 0.4 0.3 (13.8)
Net long-term inflows (outflows)(3)
14.1 (4.0)(5.9)4.6 1.3 8.6 18.7 
Market appreciation (depreciation) 28.4 8.6 (6.4)0.4 (0.3)6.9 37.6 
Net change42.5 4.6 (12.3)5.0 1.0 15.5 56.3 
Balance as of September 30, 2021$260.3 $69.1 $250.9 $55.3 $9.5 $97.1 $742.2 
Balance as of September 30, 2020$188.8 $57.5 $253.3 $48.7 $9.0 $73.5 $630.8 
Long-term flows:   
Sales/new accounts64.6 1.1 51.1 12.8 1.2 11.1 141.9 
Redemptions/terminations(37.9)(1.1)(50.6)(8.0)(0.4)(2.1)(100.1)
Cash flow/unreinvested dividends(11.6)(4.9)(4.4)0.3 (0.1)0.8 (19.9)
Net long-term inflows (outflows)(3)
15.1 (4.9)(3.9)5.1 0.7 9.8 21.9 
Market appreciation (depreciation)56.4 16.5 1.5 1.5 (0.2)13.8 89.5 
Net change71.5 11.6 (2.4)6.6 0.5 23.6 111.4 
Balance as of September 30, 2021$260.3 $69.1 $250.9 $55.3 $9.5 $97.1 $742.2 
(1)Includes index and enhanced index services.
(2)Includes certain multi-asset solutions and services not included in equity or fixed income services. Prior to December 31, 2020, this investment service line was disclosed as “Other.” In order to reflect the increasing significance of our Alternatives and Multi-Asset Solutions services, we updated the investment service line to “Alternatives and Multi-Asset Solutions."
(3)    Fixed income – taxable investment service net flows include $1.3 billion and $2.0 billion of AXA's redemptions of certain low-fee fixed income mandates for the nine-month and twelve-month periods ended September 30, 2021, respectively.

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Net long-term inflows (outflows) for actively managed investment services as compared to passively managed investment services for the three-month, nine-month and twelve-month periods ended September 30, 2021 are as follows:
 Periods Ended September 30, 2021
 Three-monthsNine-monthsTwelve-months
 (in billions)
Actively Managed
  Equity$4.8 $14.1 $15.1 
 Fixed Income
1.6 (1.3)1.2 
Alternatives/Multi-Asset Solutions0.3 7.1 8.0 
6.7 19.9 24.3 
Passively Managed   
  Equity(0.3)(4.0)(4.9)
 Fixed Income
0.2 1.3 0.7 
Alternatives/Multi-Asset Solutions0.6 1.5 1.8 
 0.5 (1.2)(2.4)
Total net long-term inflows$7.2 $18.7 $21.9 

Average assets under management by distribution channel and investment service are as follows:

 Three Months Ended September 30,Nine Months Ended September 30,
 20212020$ Change% Change20212020$ Change% Change
 (in billions)(in billions)
Distribution Channel:
Institutions$331.1 $287.4 $43.7 15.2 %$323.3 $280.9 $42.4 15.1 %
Retail299.5 239.8 59.7 24.8 284.1 231.1 53.0 23.0 
Private Wealth Management116.8 97.1 19.7 20.3 112.4 95.8 16.6 17.3 
Total$747.4 $624.3 $123.1 19.7 %$719.8 $607.8 $112.0 18.4 %
Investment Service:
Equity Actively Managed$262.8 $184.4 $78.4 42.6 %$244.2 $172.4 $71.8 41.7 %
Equity Passively Managed(1)
70.4 58.0 12.4 21.2 67.8 55.9 11.9 21.3 
Fixed Income Actively Managed – Taxable252.5 253.0 (0.5)(0.2)254.8 253.5 1.3 0.5 
Fixed Income Actively Managed – Tax-exempt54.9 48.1 6.8 14.0 53.0 47.5 5.5 11.7 
Fixed Income Passively Managed(1)
9.4 9.3 0.1 0.5 8.8 9.6 (0.8)(8.7)
Alternatives/Multi-Asset Solutions(2)
97.4 71.5 25.9 36.2 91.2 68.9 22.3 32.4 
Total$747.4 $624.3 $123.1 19.7 %$719.8 $607.8 $112.0 18.4 %
(1)Includes index and enhanced index services.
(2)Includes certain multi-asset solutions and services not included in equity of fixed income services. Prior to December 31, 2020, this investment service line was disclosed as “Other.” In order to reflect the increasing significance of our Alternatives and Multi-Asset Solutions services, we updated the investment service line to “Alternatives and Multi-Asset Solutions."

Our Institutional channel third quarter average AUM of $331.1 billion increased $43.7 billion, or 15.2%, compared to the third quarter of 2020, primarily due to this AUM increasing $38.0 billion, or 13.1%, to $327.5 billion over the last twelve months. The $38.0 billion increase primarily resulted from market appreciation of $30.6 billion and net inflows of $6.9 billion.
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Our Retail channel third quarter average AUM of $299.5 billion increased $59.7 billion, or 24.8%, compared to the third quarter of 2020, primarily due to this AUM increasing $55.9 billion, or 23.0%, to $298.8 billion over the last twelve months. The $55.9 billion increase primarily resulted from market appreciation of $42.6 billion and net inflows of $13.8 billion.
Our Private Wealth Management channel third quarter average AUM of $116.8 billion increased $19.7 billion, or 20.3%, compared to the third quarter of 2020, primarily due to this AUM increasing $17.5 billion, or 17.7%, to $115.9 billion over the last twelve months. The $17.5 billion increase primarily resulted from market appreciation of $16.3 billion and net inflows of $1.2 billion.
Absolute investment composite returns, gross of fees, and relative performance as of September 30, 2021 compared to benchmarks for certain representative Institutional equity and fixed income services are as follows:
 1-Year
3-Year(1)
5-Year(1)
Global High Income - Hedged (fixed income)
Absolute return13.0 %6.1 %5.9 %
Relative return (vs. Bloomberg Barclays Global High Yield Index - Hedged)3.1 — 0.3 
Global Plus - Hedged (fixed income)
Absolute return1.5 5.1 3.4 
Relative return (vs. Bloomberg Barclays Global Aggregate Index - Hedged)2.1 0.5 0.5 
Intermediate Municipal Bonds (fixed income)
Absolute return3.3 4.3 2.8 
Relative return (vs. Lipper Short/Int. Blended Muni Fund Avg)1.5 1.0 0.7 
U.S. Strategic Core Plus (fixed income)
Absolute return0.5 5.9 3.6 
Relative return (vs. Bloomberg Barclays U.S. Aggregate Index)1.4 0.5 0.7 
Emerging Market Debt (fixed income)
Absolute return6.3 6.7 4.4 
Relative return (vs. JPM EMBI Global/JPM EMBI)2.4 1.0 0.8 
Sustainable Global Thematic (equity)
Absolute return29.4 22.5 20.0 
Relative return (vs. MSCI ACWI Index)2.0 9.9 6.8 
International Strategic Core Equity (equity)
Absolute return17.6 6.3 8.5 
Relative return (vs. MSCI EAFE Index)(8.1)(1.3)(0.3)
U.S. Small & Mid Cap Value (equity)
Absolute return64.2 9.6 11.6 
Relative return (vs. Russell 2500 Value Index)9.8 0.7 1.1 
U.S. Strategic Value (equity)
Absolute return40.4 8.0 9.4 
Relative return (vs. Russell 1000 Value Index)5.4 (2.1)(1.6)
U.S. Small Cap Growth (equity)
Absolute return37.5 21.6 26.5 
Relative return (vs. Russell 2000 Growth Index)4.3 10.0 11.1 
U.S. Large Cap Growth (equity)
Absolute return28.5 23.1 23.4 
Relative return (vs. Russell 1000 Growth Index)1.2 1.1 0.6 
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 1-Year
3-Year(1)
5-Year(1)
U.S. Small & Mid Cap Growth (equity)
Absolute return32.9 19.6 23.7 
Relative return (vs. Russell 2500 Growth Index)0.9 3.6 5.5 
Concentrated U.S. Growth (equity)
Absolute return 32.4 20.8 21.2 
Relative return (vs. S&P 500 Index)2.4 4.8 4.3 
Select U.S. Equity (equity)
Absolute return32.2 15.9 17.4 
Relative return (vs. S&P 500 Index)2.1 (0.1)0.5 
Strategic Equities (equity)
Absolute return31.9 14.7 15.1 
Relative return (vs. Russell 3000 Index)0.1 (1.3)(1.7)
Global Core Equity (equity)
Absolute return 28.1 13.2 14.3 
Relative return (vs. MSCI ACWI Index)0.7 0.6 1.1 
U.S. Strategic Core Equity (equity)
Absolute return23.1 13.5 13.7 
Relative return (vs. S&P 500 Index)(6.9)(2.5)(3.1)
Select U.S. Equity Long/Short (alternatives)
Absolute return 19.3 10.8 11.6 
Relative return (vs. S&P 500 Index)(10.8)(5.2)(5.3)
(1)Reflects annualized returns.
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Consolidated Results of Operations
 Three Months Ended September 30,Nine Months Ended September 30,
 20212020$ Change% Change20212020$ Change% Change
 (in thousands, except per unit amounts)
Net revenues$1,092,832 $900,038 $192,794 21.4 %$3,176,920 $2,645,643 $531,277 20.1 %
Expenses813,182 682,892 130,290 19.1 2,353,063 2,040,627 312,436 15.3 
Operating income279,650 217,146 62,504 28.8 823,857 605,016 218,841 36.2 
Income taxes16,029 9,089 6,940 76.4 45,254 29,949 15,305 51.1 
Net income263,621 208,057 55,564 26.7 778,603 575,067 203,536 35.4 
Net (loss) income of consolidated entities attributable to non-controlling interests(1,074)81 (1,155)n/m2,207 (4,550)6,757 n/m
Net income attributable to AB Unitholders$264,695 $207,976 $56,719 27.3 $776,396 $579,617 $196,779 33.9 
Diluted net income per AB Unit$0.96 $0.77 $0.19 24.7 $2.82 $2.13 $0.69 32.4 
Distributions per AB Unit$0.96 $0.76 $0.20 26.3 $2.81 $2.15 $0.66 30.7 
Operating margin (1)
25.7 %24.1 % 25.9 %23.0 % 
(1)Operating income excluding net income (loss) attributable to non-controlling interests as a percentage of net revenues.

Net income attributable to AB Unitholders for the three months ended September 30, 2021 increased $56.7 million, or 27.3%, from the three months ended September 30, 2020. The increase is primarily due to (in millions):
Higher investment advisory base fees$134.9 
Higher distribution revenues34.9 
Higher Bernstein Research Services revenue14.8 
Higher performance-based fees11.3 
Lower amortization of intangible assets5.3 
Higher net loss of consolidated entities attributable to non-controlling interest1.2 
Higher employee compensation and benefits expense(76.1)
Higher promotion and servicing expense(46.5)
Higher general and administrative expenses(12.7)
Higher income tax expense(6.9)
Higher investment losses(3.8)
Other0.3 
 $56.7 




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Net income attributable to AB Unitholders for the nine months ended September 30, 2021 increased $196.8 million, or 33.9%, from the nine months ended September 30, 2020. The increase is primarily due to (in millions):
Higher investment advisory base fees$363.5 
Higher distribution revenues87.1 
Higher performance-based fees64.0 
Higher investment gains22.4 
Lower amortization of intangible assets15.5 
Higher employee compensation and benefits expense(206.0)
Higher promotion and servicing expense(108.1)
Higher income tax expense(15.3)
Higher general and administrative expenses(15.1)
Higher net income of consolidated entities attributable to non-controlling interest(6.8)
Lower Bernstein Research Services revenue(3.3)
Other(1.1)
 $196.8 

Units Outstanding

Each quarter, we consider whether to implement a plan to repurchase AB Holding Units pursuant to Rules 10b5-1 and 10b-18 under the Exchange Act. A plan of this type allows a company to repurchase its shares at times when it otherwise might be prevented from doing so because of self-imposed trading blackout periods or because it possesses material non-public information. Each broker we select has the authority under the terms and limitations specified in the plan to repurchase AB Holding Units on our behalf. Repurchases are subject to regulations promulgated by the SEC, as well as certain price, market volume and timing constraints specified in the plan. The plan adopted during the third quarter of 2021 expired at the close of business on October 27, 2021. We may adopt additional plans in the future to engage in open-market purchases of AB Holding Units to help fund anticipated obligations under our incentive compensation award program and for other corporate purposes.

Cash Distributions

We are required to distribute all of our Available Cash Flow, as defined in the AB Partnership Agreement, to our Unitholders and the General Partner. Available Cash Flow typically is the adjusted diluted net income per unit for the quarter multiplied by the number of general and limited partnership interests at the end of the quarter. In future periods, management anticipates that Available Cash Flow will continue to be based on adjusted diluted net income per unit, unless management determines, with concurrence of the Board of Directors, that one or more adjustments that are made for adjusted net income should not be made with respect to the Available Cash Flow calculation. See Note 6 to our consolidated financial statements contained in Item 1 for a description of Available Cash Flow.

Management Operating Metrics

We are providing the non-GAAP measures “adjusted net revenues,” “adjusted operating income” and “adjusted operating margin” because they are the principal operating metrics management uses in evaluating and comparing period-to-period operating performance. Management principally uses these metrics in evaluating performance because they present a clearer picture of our operating performance and allow management to see long-term trends without the distortion primarily caused by long-term incentive compensation-related mark-to-market adjustments, real estate charges and other adjustment items. Similarly, we believe that these management operating metrics help investors better understand the underlying trends in our results and, accordingly, provide a valuable perspective for investors.

These non-GAAP measures are provided in addition to, and not as substitutes for, net revenues, operating income and operating
margin, and they may not be comparable to non-GAAP measures presented by other companies. Management uses both accounting principles generally accepted in the United States of America ("US GAAP") and non-GAAP measures in evaluating our financial performance. The non-GAAP measures alone may pose limitations because they do not include all of our revenues and expenses.

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 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
 (in thousands, except per unit amounts)
Net revenues, US GAAP basis$1,092,832 $900,038 $3,176,920 $2,645,643 
Adjustments:    
Distribution-related adjustments:
Distribution revenues(170,612)(135,693)(473,750)(386,649)
Investment advisory services fees(25,530)(20,120)(68,542)(47,136)
Pass-through adjustments:
Investment advisory services fees(4,017)(3,888)(12,615)(11,599)
Other revenues(9,359)(9,344)(28,119)(31,828)
Impact of consolidated company-sponsored funds968 (765)(3,629)1,818 
Long-term incentive compensation-related investment gains and dividend and interest(684)(3,231)(5,055)(1,583)
Write-down of investment— — — 859 
Adjusted net revenues$883,598 $726,997 $2,585,210 $2,169,525 
Operating income, US GAAP basis$279,650 $217,146 $823,857 $605,016 
Adjustments:    
Real estate(985)(985)(2,956)3,865 
Long-term incentive compensation-related items220 (416)135 253 
EQH award compensation540 205 700 598 
Write-down of investment— — — 859 
Acquisition-related expenses217 356 419 1,687 
Sub-total of non-GAAP adjustments(8)(840)(1,702)7,262 
Less: Net (loss) income of consolidated entities attributable to non-controlling interests(1,074)81 2,207 (4,550)
Adjusted operating income280,716 216,225 819,948 616,828 
Adjusted income taxes16,085 9,060 45,015 30,533 
Adjusted net income $264,631 $207,165 $774,933 $586,295 
Diluted net income per AB Unit, GAAP basis$0.96 $0.77 $2.82 $2.13 
Impact of non-GAAP adjustments— (0.01)— 0.02 
Adjusted diluted net income per AB Unit$0.96 $0.76 $2.82 $2.15 
Operating margin, GAAP basis25.7 %24.1 %25.9 %23.0 %
Impact of non-GAAP adjustments6.1 5.6 5.8 5.4 
Adjusted operating margin31.8 %29.7 %31.7 %28.4 %

Adjusted operating income for the three months ended September 30, 2021 increased $64.5 million, or 29.8%, from the three months ended September 30, 2020, primarily due to higher investment advisory base fees of $129.4 million, higher Bernstein Research Services revenues of $14.8 million, higher performance-based fees of $11.3 million and lower amortization of intangible assets of $5.3 million, partially offset by higher employee compensation and benefits expense (excluding the impact of long-term incentive compensation-related items) of $77.7 million, higher general and administrative expenses of $13.3 million and higher promotion and servicing expenses of $6.2 million.

Adjusted operating income for the nine months ended September 30, 2021 increased $203.1 million, or 32.9%, from the nine months ended September 30, 2020, primarily due to higher investment advisory base fees of $340.7 million, higher performance-based fees of $66.6 million, lower amortization of intangible assets of $15.5 million and higher net investment gains of $8.5 million, partially offset by higher employee compensation and benefits expense (excluding the impact of long-term incentive compensation-related items) of $202.9 million, higher general and administrative expenses of $25.7 million and lower Bernstein Research Services revenues of $3.3 million.
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Adjusted Net Revenues

Net Revenue, as adjusted, is reduced to exclude all of the company's distribution revenues, which are recorded as a separate line
item on the consolidated statement of income, as well as a portion of investment advisory services fees received that is used to pay distribution and servicing costs. For certain products, based on the distinct arrangements, certain distribution fees are collected by us and passed through to third-party client intermediaries, while for certain other products, we collect investment advisory services fees and a portion is passed through to third-party client intermediaries. In both arrangements, the third-party client intermediary owns the relationship with the client and is responsible for performing services and distributing the product to the client on our behalf. We believe offsetting distribution revenues and certain investment advisory services fees is useful for our investors and other users of our financial statements because such presentation appropriately reflects the nature of these costs as pass-through payments to third parties that perform functions on behalf of our sponsored mutual funds and/or shareholders of these funds. Distribution-related adjustments fluctuate each period based on the type of investment products sold, as well as the average AUM over the period. Also, we adjust distribution revenues for the amortization of deferred sales commissions as these costs, over time, will offset such revenues.

We adjust investment advisory and services fees and other revenues for pass through costs, primarily related to our transfer agent and shareholder servicing fees. These fees do not affect operating income, but they do affect our operating margin. As such, we exclude these fees from adjusted net revenues.

We adjust for the revenue impact of consolidating company-sponsored investment funds by eliminating the consolidated company-sponsored investment funds' revenues and including AB's fees from such consolidated company-sponsored investment funds and AB's investment gains and losses on its investments in such consolidated company-sponsored investment funds that were eliminated in consolidation.

Also, adjusted net revenues exclude investment gains and losses and dividends and interest on employee long-term incentive compensation-related investments.

Lastly, during the first quarter of 2020, we wrote-off an investment that had been received in exchange for the sale of software technology, bringing the balance to zero. Previously, we had been excluding the value of this investment from adjusted net revenues.

Adjusted Operating Income

Adjusted operating income represents operating income on a US GAAP basis excluding (1) real estate charges (credits), (2) the impact on net revenues and compensation expense of the investment gains and losses (as well as the dividends and interest) associated with employee long-term incentive compensation-related investments, (3) our senior management's EQH award compensation, as discussed below, (4) the write-down of an investment discussed immediately above, (5) acquisition-related expenses, and (6) the impact of consolidated company-sponsored investment funds.

Real estate charges (credits) incurred have been excluded because they are not considered part of our core operating results when comparing financial results from period to period and to industry peers. Real estate charges (credits) incurred during the fourth quarter of 2019 through the fourth quarter of 2020, while excluded in the period in which the charges (credits) were recorded, are included ratably over the remaining applicable lease term.

Prior to 2009, a significant portion of employee compensation was in the form of long-term incentive compensation awards that were notionally invested in AB investment services and generally vested over a period of four years. AB economically hedged the exposure to market movements by purchasing and holding these investments on its balance sheet. All such investments had vested as of year-end 2012 and the investments have been delivered to the participants, except for those investments with respect to which the participant elected a long-term deferral. Fluctuation in the value of these investments, which also impacts compensation expense, is recorded within investment gains and losses on the income statement. Management believes it is useful to reflect the offset achieved from economically hedging the market exposure of these investments in the calculation of adjusted operating income and adjusted operating margin. The non-GAAP measures exclude gains and losses and dividends and interest on employee long-term incentive compensation-related investments included in revenues and compensation expense.


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The board of directors of EQH granted to Seth P. Bernstein, our CEO, equity awards in connection with EQH's IPO. Additionally, equity awards were granted to Mr. Bernstein and other members of AB's senior management for their membership on the EQH Management Committee. These individuals may receive additional equity or cash compensation from EQH in the future related to their service on the Management Committee. Any awards granted to these individuals by EQH are recorded as compensation expense in AB’s consolidated statement of income. The compensation expense associated with these awards has been excluded from our non-GAAP measures because they are non-cash and are based upon EQH's, and not AB's, financial performance.
The write-off of the investment discussed above in Adjusted Net Revenues has been excluded due to its non-recurring nature and because it is not part of our core operating results.
Acquisition-related expenses have been excluded because they are not considered part of our core operating results when comparing financial results from period to period and to industry peers.
We adjusted for the operating income impact of consolidating certain company-sponsored investment funds by eliminating the consolidated company-sponsored funds' revenues and expenses and including AB's revenues and expenses that were eliminated in consolidation. We also excluded the limited partner interests we do not own.
Adjusted Net Income and Adjusted Diluted Net Income per AB Unit

As previously discussed, our quarterly distribution is typically our adjusted diluted net income per unit (which is derived from adjusted net income) for the quarter multiplied by the number of general and limited partnership interests at the end of the quarter. Adjusted income taxes, used in calculating adjusted net income, are calculated using the GAAP effective tax rate adjusted for non-GAAP income tax adjustments.

Adjusted Operating Margin

Adjusted operating margin allows us to monitor our financial performance and efficiency from period to period without the volatility noted above in our discussion of adjusted operating income and to compare our performance to industry peers on a basis that better reflects our performance in our core business. Adjusted operating margin is derived by dividing adjusted operating income by adjusted net revenues.





























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Net Revenues

The components of net revenues are as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 20212020$ Change% Change20212020$ Change% Change
 (in thousands)(in thousands)
Investment advisory and services fees:
Institutions:
Base fees$136,076 $115,581 $20,495 17.7 %$402,176 $335,225 $66,951 20.0 %
Performance-based fees2,993 4,181 (1,188)(28.4)9,907 7,169 2,738 38.2 
 139,069 119,762 19,307 16.1 412,083 342,394 69,689 20.4 
Retail:   
Base fees374,975 299,486 75,489 25.2 1,052,961 867,676 185,285 21.4 
Performance-based fees334 1,360 (1,026)(75.4)34,810 9,290 25,520 n/m
 375,309 300,846 74,463 24.8 1,087,771 876,966 210,805 24.0 
Private Wealth Management:
Base fees247,473 208,526 38,947 18.7 714,795 603,575 111,220 18.4 
Performance-based fees14,946 1,405 13,541 n/m43,238 7,532 35,706 n/m
 262,419 209,931 52,488 25.0 758,033 611,107 146,926 24.0 
Total:
Base fees758,524 623,593 134,931 21.6 2,169,932 1,806,476 363,456 20.1 
Performance-based fees18,273 6,946 11,327 163.1 87,955 23,991 63,964 n/m
 776,797 630,539 146,258 23.2 2,257,887 1,830,467 427,420 23.4 
Bernstein Research Services113,340 98,514 14,826 15.0 338,016 341,346 (3,330)(1.0)
Distribution revenues170,612 135,693 34,919 25.7 473,750 386,649 87,101 22.5 
Dividend and interest income8,794 9,070 (276)(3.0)26,136 42,227 (16,091)(38.1)
Investment (losses) gains(2,724)1,106 (3,830)n/m3,385 (19,011)22,396 n/m
Other revenues26,973 26,583 390 1.5 80,584 78,186 2,398 3.1 
Total revenues1,093,792 901,505 192,287 21.3 3,179,758 2,659,864 519,894 19.5 
Less: Interest expense960 1,467 (507)(34.6)2,838 14,221 (11,383)(80.0)
Net revenues$1,092,832 $900,038 $192,794 21.4 $3,176,920 $2,645,643 $531,277 20.1 

Investment Advisory and Services Fees

Investment advisory and services fees are the largest component of our revenues. These fees generally are calculated as a percentage of the value of AUM as of a specified date, or as a percentage of the value of average AUM for the applicable billing period, and vary with the type of investment service, the size of account and the total amount of assets we manage for a particular client. Accordingly, fee income generally increases or decreases as AUM increase or decrease and is affected by market appreciation or depreciation, the addition of new client accounts or client contributions of additional assets to existing accounts, withdrawals of assets from and termination of client accounts, purchases and redemptions of mutual fund shares, shifts of assets between accounts or products with different fee structures, and acquisitions. Our average basis points realized (investment advisory and services fees divided by average AUM) generally approximate 30 to 105 basis points for actively-managed equity services, 10 to 70 basis points for actively-managed fixed income services and 2 to 20 basis points for
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passively-managed services. Average basis points realized for other services could range from 4 basis points for certain Institutional third party managed services to over 100 basis points for certain Retail and Private Wealth Management alternative services. These ranges include all-inclusive fee arrangements (covering investment management, trade execution and other services) for our Private Wealth Management clients.

We calculate AUM using established market-based valuation methods and fair valuation (non-observable market) methods. Market-based valuation methods include: last sale/settle prices from an exchange for actively-traded listed equities, options and futures; evaluated bid prices from recognized pricing vendors for fixed income, asset-backed or mortgage-backed issues; mid prices from recognized pricing vendors and brokers for credit default swaps; and quoted bids or spreads from pricing vendors and brokers for other derivative products. Fair valuation methods include: discounted cash flow models or any other methodology that is validated and approved by our Valuation Committee (see paragraph immediately below for more information regarding our Valuation Committee). Fair valuation methods are used only where AUM cannot be valued using market-based valuation methods, such as in the case of private equity or illiquid securities.

The Valuation Committee, which consists of senior officers and employees, is responsible for overseeing the pricing and valuation of all investments held in client and AB portfolios. The Valuation Committee has adopted a Statement of Pricing Policies describing principles and policies that apply to pricing and valuing investments held in these portfolios. We also have a Pricing Group, which reports to the Valuation Committee and is responsible for overseeing the pricing process for all investments.
 
We sometimes charge our clients performance-based fees. In these situations, we charge a base advisory fee and are eligible to earn an additional performance-based fee or incentive allocation that is calculated as either a percentage of absolute investment results or a percentage of investment results in excess of a stated benchmark over a specified period of time. Some performance-based fees include a high-watermark provision, which generally provides that if a client account underperforms relative to its performance target (whether absolute or relative to a specified benchmark), it must gain back such underperformance before we can collect future performance-based fees. Therefore, if we fail to achieve our performance target for a particular period, we will not earn a performance-based fee for that period and, for accounts with a high-watermark provision, our ability to earn future performance-based fees will be impaired. We are eligible to earn performance-based fees on 6.3%, 8.8% and 0.7% of the assets we manage for institutional clients, private wealth clients and retail clients, respectively (in total, 4.4% of our AUM).

For the three months ended September 30, 2021, our investment advisory and services fees increased by $146.3 million, or 23.2%, from the three months ended September 30, 2020, due to a $134.9 million, or 21.6%, increase in base fees and a $11.3 million increase in performance-based fees. The increase in base fees is primarily due to a 19.7% increase in average AUM. For the nine months ended September 30, 2021, our investment advisory and services fees increased by $427.4 million, or 23.4%, from the nine months ended September 30, 2020, due to a $363.5 million, or 20.1%, increase in base fees and a $64.0 million increase in performance-based fees. The increase in base fees is primarily due to an 18.4% increase in average AUM.

Institutional investment advisory and services fees for the three months ended September 30, 2021 increased by $19.3 million, or 16.1%, from the three months ended September 30, 2020, due to a $20.5 million, or 17.7%, increase in base fees and a $1.2 million decrease in performance-based fees. The increase in base fees is primarily due a 15.2% increase in average AUM. Institutional investment advisory and service fees for the nine months ended September 30, 2021 increased by $69.7 million, or 20.4%, from the nine months ended September 30, 2020, due to a $67.0 million, or 20.0%, increase in base fees and a $2.7 million increase in performance-based fees. The increase in base fees is primarily due to a 15.1% increase in average AUM, as well as a shift in product mix to active equities, which generally have higher fees.

Retail investment advisory and services fees for the three months ended September 30, 2021 increased by $74.5 million, or 24.8%, from the three months ended September 30, 2020, due to a $75.5 million, or 25.2% increase in base fees and a $1.0 million decrease in performance-based fees. The increase in base fees is primarily due to a 24.8% increase in average AUM. Retail investment advisory and service fees for the nine months ended September 30, 2021 increased by $210.8 million, or 24.0%, from the nine months ended September 30, 2020, primarily due to an increase in base fees of $185.3 million, or 21.4% and a $25.5 million increase in performance-based fees. The increase in base fees is primarily due to a 23.0% increase in average AUM.

Private Wealth Management investment advisory and services fees for the three months ended September 30, 2021 increased by $52.5 million, or 25.0%, from the three months ended September 30, 2020, due to a $38.9 million, or 18.7%, increase in base fees and a $13.5 million increase in performance-based fees. The increase in base fees is primarily due to a 20.3% increase in average AUM. Private Wealth Management investment and advisory services fees for the nine months ended September 30, 2021 increased by $146.9 million, or 24.0%, from the nine months ended September 30, 2020, due to an
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increase in base fees of $111.2 million, or 18.4%, and a $35.7 million increase in performance-based fees. The increase in base fees is primarily due to a 17.3% increase in average AUM.

Bernstein Research Services

We earn revenues for providing investment research to, and executing brokerage transactions for, institutional clients. These clients compensate us principally by directing us to execute brokerage transactions on their behalf, for which we earn commissions, and to a lesser extent, but increasingly, by paying us directly for research through commission sharing agreements or cash payments.
Revenues from Bernstein Research Services for the three months ended September 30, 2021 increased $14.8 million, or 15.0%, from the three months ended September 30, 2020, due to higher customer trading activity and research payments across all regions. For the nine months ended September 30, 2021, Bernstein Research Services revenue decreased $3.3 million, or 1.0%, compared to the nine months ended September 30, 2020 due to lower trading activity driven by lower global market volatility as compared to the COVID-related surge for the nine months ended September 30, 2020. This was partially offset by higher research payments.

Distribution Revenues

Two of our subsidiaries act as distributors and/or placement agents of company-sponsored mutual funds and receive distribution services fees from certain of those funds as partial reimbursement of the distribution expenses they incur. Period-over-period fluctuations of distribution revenues typically are in line with fluctuations of the corresponding average AUM of these mutual funds.

Distribution revenues for the three months ended September 30, 2021 increased $34.9 million, or 25.7%, from the three months ended September 30, 2020, primarily due to the corresponding average AUM of these mutual funds increasing 18.8%, as well as an increase in the overall portfolio fee rate. For the nine months ended September 30, 2021, distribution revenues increased $87.1 million, or 22.5%, compared to the nine months ended September 30, 2020, primarily due to the corresponding average AUM of these mutual funds increasing 18.1%, as well as an increase in the overall portfolio fee rate.

Dividend and Interest Income and Interest Expense

Dividend and interest income consists primarily of investment income and interest earned on customer margin balances and U.S. Treasury Bills as well as dividend and interest income in our consolidated company-sponsored investment funds. Interest expense principally reflects interest accrued on cash balances in customers’ brokerage accounts.

Dividend and interest income for the three months ended September 30, 2021 decreased $0.3 million, or 3.0%, from the three months ended September 30, 2020, primarily due to lower interest on U.S Treasury Bills, partially offset by higher interest earned on customer margin balances. Interest expense for the three months ended September 30, 2021 decreased $0.5 million, or 34.6%, from the three months ended September 30, 2020, due to lower interest paid on cash balances in customers' brokerage accounts. For the nine months ended September 30, 2021, dividend and interest income decreased $16.1 million, or 38.1%, compared to the nine months ended September 30, 2020, primarily due to lower interest earned on U.S. Treasury bills, lower dividend and interest income in our consolidated company-sponsored investment funds and lower interest earned on customer margin balances. Interest expense for the nine months ended September 30, 2021 decreased $11.4 million, or 80.0%, compared to the nine months ended September 30, 2020, due to lower interest paid on cash balances in customers' brokerage accounts.

Investment Gains (Losses)

Investment gains (losses) consist primarily of realized and unrealized investment gains or losses on: (i) employee long-term incentive compensation-related investments, (ii) U.S. Treasury Bills, (iii) market-making in exchange-traded options and equities, (iv) seed capital investments, (v) derivatives and (vi) investments in our consolidated company-sponsored investment funds. Investment gains (losses) also include equity in earnings of proprietary investments in limited partnership hedge funds that we sponsor and manage.
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Investment gains (losses) are as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2021202020212020
 (in thousands)
Long-term incentive compensation-related investments:
Realized gains$112 $1,277 $2,212 $2,685 
Unrealized gains (losses)508 1,862 2,620 (1,387)
Investments held by consolidated company-sponsored investment funds:
  Realized (losses) gains(1,333)694 327 (707)
  Unrealized (losses) gains(4,814)3,684 (3,878)(8,254)
Seed capital investments:
Realized gains (losses)
Seed capital and other2,938 17,694 17,621 22,582 
Derivatives(1,760)(12,568)(20,230)(13,458)
Unrealized gains (losses)
Seed capital and other(1,630)(8,165)(7,460)(17,505)
Derivatives3,651 (1,518)13,027 (1,964)
Brokerage-related investments:
Realized (losses)(358)(2,355)(546)(881)
Unrealized (losses) gains(38)501 (308)(122)
 $(2,724)$1,106 $3,385 $(19,011)

Other Revenues

Other revenues consist of fees earned for transfer agency services provided to company-sponsored mutual funds, fees earned for administration and recordkeeping services provided to company-sponsored mutual funds and the general accounts of EQH and its subsidiaries, and other miscellaneous revenues. Other revenues for the three months ended September 30, 2021 increased $0.4 million, or 1.5%, compared to the three months ended September 30, 2020, primarily due to higher shareholder servicing fees, partially offset by lower brokerage income. Other revenues for the nine months ended September 30, 2021 increased $2.4 million, or 3.1%, compared to the nine months ended September 30, 2020, primarily due to higher shareholder servicing fees, partially offset by lower brokerage income.

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Expenses

The components of expenses are as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 20212020$ Change% Change20212020$ Change% Change
 (in thousands)(in thousands)
Employee compensation and benefits$433,928 $357,821 $76,107 21.3 %$1,275,694 $1,069,731 $205,963 19.3 %
Promotion and servicing:    
Distribution-related payments187,411 148,380 39,031 26.3 517,426 414,203 103,223 24.9 
Amortization of deferred sales commissions8,731 7,434 1,297 17.4 24,866 19,582 5,284 27.0 
Trade execution, marketing, T&E and other47,428 41,220 6,208 15.1 140,677 141,118 (441)(0.3)
 243,570 197,034 46,536 23.6 682,969 574,903 108,066 18.8 
General and administrative:      
General and administrative132,064 119,318 12,746 10.7 383,611 363,009 20,602 5.7 
Real estate charges — — — — — 5,526 (5,526)(100.0)
 132,064 119,318 12,746 10.7 383,611 368,535 15,076 4.1 
Contingent payment arrangements838 813 25 3.1 2,472 2,413 59 2.4 
Interest on borrowings1,280 1,073 207 19.3 3,815 5,003 (1,188)(23.7)
Amortization of intangible assets1,502 6,833 (5,331)(78.0)4,502 20,042 (15,540)(77.5)
Total$813,182 $682,892 $130,290 19.1 $2,353,063 $2,040,627 $312,436 15.3 

Employee Compensation and Benefits

Employee compensation and benefits consist of base compensation (including salaries and severance), annual short-term incentive compensation awards (cash bonuses), annual long-term incentive compensation awards, commissions, fringe benefits and other employment costs (including recruitment, training, temporary help and meals).

Compensation expense as a percentage of net revenues was 39.7% and 39.8% for the three months ended September 30, 2021 and 2020, respectively. Compensation expense as a percentage of net revenues was 40.2% and 40.4% for the nine months ended September 30, 2021 and 2020, respectively. Compensation expense generally is determined on a discretionary basis and is primarily a function of our firm’s current-year financial performance. The amounts of incentive compensation we award are designed to motivate, reward and retain top talent while aligning our executives' interests with the interests of our Unitholders. Senior management, with the approval of the Compensation and Workplace Practices Committee of the Board of Directors of AllianceBernstein Corporation (“Compensation Committee”), periodically confirms that the appropriate metric to consider in determining the amount of incentive compensation is the ratio of adjusted employee compensation and benefits expense to adjusted net revenues. Adjusted net revenues used in the adjusted compensation ratio are the same as the adjusted net revenues presented as a non-GAAP measure (discussed earlier in this Item 2). Adjusted employee compensation and benefits expense is total employee compensation and benefits expense minus other employment costs such as recruitment, training, temporary help and meals (which was 0.9% of adjusted net revenues for the three months ended September 30, 2021 and 0.8% for the nine months ended September 30, 2021), and excludes the impact of mark-to-market vesting expense, as well as dividends and interest expense, associated with employee long-term incentive compensation-related investments and the amortization expense associated with the awards issued by EQH to some of our firm's senior management relating to their roles as members of the EQH Management Committee. Senior management, with the approval of the Compensation Committee, has established as an objective that adjusted employee compensation and benefits expense generally should not exceed 50% of our adjusted net
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revenues, except in unexpected or unusual circumstances. Also, our adjusted compensation ratio reflects a balancing of the need to keep compensation levels competitive with industry peers in order to attract, motivate and retain highly-qualified talent with the need to maintain strong operating leverage in our business. The Compensation Committee works with management to help ensure both needs are sufficiently addressed. Our ratio of adjusted compensation expense as a percentage of adjusted net revenues was 48.0% for the three months ended September 30, 2021 and 2020. Our ratio of adjusted compensation expense as a percentage of adjusted net revenues was 48.3% for the nine months September 30, 2021 and 2020.

For the three months ended September 30, 2021, employee compensation and benefits expense increased $76.1 million, or 21.3%, compared to the three months ended September 30, 2020, primarily due to higher incentive compensation of $50.7 million, higher base compensation of $11.8 million, higher commissions of $5.8 million, higher fringes of $5.3 million and higher other employment costs of $2.5 million. For the nine months ended September 30, 2021, employee compensation and benefits expense increased $206.0 million, or 19.3%, compared to the nine months ended September 30, 2020, primarily due to higher incentive compensation of $149.1 million, higher base compensation of $27.5 million, higher fringes of $15.0 million, higher commissions of $12.8 million and higher other employment costs of $1.7 million.

Promotion and Servicing

Promotion and servicing expenses include distribution-related payments to financial intermediaries for distribution of AB mutual funds and amortization of deferred sales commissions paid to financial intermediaries for the sale of back-end load shares of AB mutual funds. Also included in this expense category are costs related to travel and entertainment, advertising and promotional materials.

Promotion and servicing expenses increased $46.5 million, or 23.6%, during the three months ended September 30, 2021 compared to the three months ended September 30, 2020. The increase primarily was due to higher distribution-related payments of $39.1 million, higher transfer fees of $3.4 million, higher marketing and communication expenses of $1.9 million, higher travel and entertainment expenses of $1.7 million and higher amortization of deferred sales commissions of $1.3 million, offset by lower trade execution expenses of $0.7 million. During the three months ended September 30, 2020, we experienced cost savings in travel and entertainment and marketing expense primarily driven by COVID-19. These expense items have since increased as business activity has started to normalize, and we expect business activity, and these expenses, to continue to normalize through the remainder of 2021 and future periods, assuming the pandemic continues to recede. Promotion and servicing expenses increased $108.1 million, or 18.8%, during the nine months ended September 30, 2021 compared to the nine months ended September 30, 2020. The increase primarily was due to higher distribution-related payments of $103.2 million, higher transfer fees of $7.2 million, higher amortization of deferred sales commissions of $5.3 million and higher marketing and communications expenses of $1.0 million, offset by lower trade execution expenses of $4.7 million and lower travel and entertainment expenses of $3.9 million.

General and Administrative

General and administrative expenses include portfolio services expenses, technology expenses, professional fees and office-related expenses (occupancy, communications and similar expenses). General and administrative expenses as a percentage of net revenues were 12.1% and 13.3% for the three months ended September 30, 2021 and 2020, respectively. General and administrative expenses increased $12.7 million, or 10.7%, during the three months ended September 30, 2021 compared to the corresponding period in 2020, primarily due to higher technology fees of $5.4 million, higher office-related expenses of $5.3 million and higher portfolio servicing fees of $3.8 million, partially offset by lower professional fees of $1.0 million. General and administrative expenses as a percentage of net revenues were 12.1% and 13.9% (13.7% excluding real estate charges) for the nine months ended September 30, 2021 and 2020, respectively. General and administrative expenses increased $15.1 million, or 4.1%, during the first nine months of 2021 compared to the nine months ended September 30, 2020, primarily due to higher technology fees of $6.6 million, higher portfolio servicing fees of $5.7 million and higher errors of $3.5 million, partially offset by a relocation incentive credit of $1.0 million.

Contingent Payment Arrangements

Contingent payment arrangements reflect changes in estimates of contingent payment liabilities associated with acquisitions in previous periods, as well as accretion expense of these liabilities. There were no changes in our estimates during the first nine months of 2021 or 2020.




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Income Taxes

AB, a private limited partnership, is not subject to federal or state corporate income taxes. However, AB is subject to a 4.0% New York City unincorporated business tax (“UBT”). Our domestic corporate subsidiaries are subject to federal, state and local income taxes and generally are included in the filing of a consolidated federal income tax return. Separate state and local income tax returns also are filed. Foreign corporate subsidiaries generally are subject to taxes in the jurisdictions where they are located.

Income tax expense for the three months ended September 30, 2021 increased $6.9 million, or 76.4%, compared to the three months ended September 30, 2020. Income tax expense for the nine months ended September 30, 2021 increased $15.3 million, or 51.1%, compared to the nine months ended September 30, 2020. The increase in income tax expense is due to higher foreign income in both the three and nine month periods ended September 30, 2021, which carries a higher tax rate than domestic income. There were no material changes to uncertain tax positions (FIN 48 reserves) or valuation allowances against deferred tax assets for the three and nine months ended September 30, 2021.

Net Income (Loss) of Consolidated Entities Attributable to Non-Controlling Interests

Net income (loss) of consolidated entities attributable to non-controlling interests primarily consists of limited partner interests owned by other investors in our consolidated company-sponsored investment funds. For the three months ended September 30, 2021, we had $1.1 million in net losses of consolidated entities attributable to non-controlling interests compared to net gains of $0.1 million for the three months ended September 30, 2020. For the nine months ended September 30, 2021, we had $2.2 million of net gains of consolidated entities attributable to non-controlling interests compared to net losses of $4.6 million for the nine months ended September 30, 2020. Fluctuations period-to-period result primarily from the number of consolidated company-sponsored investment funds and their respective market performance.

CAPITAL RESOURCES AND LIQUIDITY

Cash flows from operating activities primarily include the receipt of investment advisory and services fees and other revenues offset by the payment of operating expenses incurred in the normal course of business. Our cash flows from operating activities have historically been positive and sufficient in supporting our operations. We do not anticipate this to change in the foreseeable future. Cash flows from investing activities generally consist of small capital expenditures and, when applicable, business acquisitions. Cash flows from financing activities primarily consist of issuance and repayment of debt and the repurchase of AB Holding units to fund our long-term deferred compensation plans. We are required to distribute all of our Available Cash Flow to our Unitholders and the General Partner.

During the first nine months of 2021, net cash provided by operating activities was $1.4 billion, compared to $1.6 billion during the corresponding 2020 period. The change reflects net activity of our consolidated funds of $325.6 million and an increase in other assets of $222.9 million, partially offset by higher earnings of $204.6 million, an increase in accrued compensation and benefits of $101.0 million, an increase in accounts payable and accrued expenses of $41.1 million and lower net purchases of broker-dealer investments of $32.1 million.

During the first nine months of 2021, net cash used in investing activities was $55.9 million, compared to $25.9 million during the corresponding 2020 period. The change is primarily due to higher purchases of furniture, equipment and leasehold improvements of $39.7 million, offset by lower cash paid for acquisitions of $9.8 million.

During the first nine months of 2021, net cash used in financing activities decreased $41.7 million from the corresponding 2020 period. The change reflects the net purchases of non-controlling interests of consolidated company-sponsored investment funds during first nine months of 2021 as compared to net redemptions in the corresponding 2020 period (impact of $277.3 million), partially offset by higher distributions to the General Partner and Unitholders of $166.9 million as a result of higher earnings (distributions on earnings are paid one quarter in arrears) and an increase in the net purchases of AB Holding Units to fund long-term incentive compensation plans of $68.0 million.

As of September 30, 2021, AB had $1.2 billion of cash and cash equivalents (excluding cash and cash equivalents of consolidated company-sponsored investment funds), all of which is available for liquidity but consist primarily of cash on deposit for our broker-dealers related to various customer clearing activities, and cash held by foreign subsidiaries of $698.9 million.



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Debt and Credit Facilities

See Note 16 and Note 18 to AB’s condensed consolidated financial statements contained in Item 1, for disclosures relating to our debt and credit facilities.

Our financial condition and access to public and private debt markets should provide adequate liquidity for our general business needs. Management believes that cash flow from operations and the issuance of debt and AB Units or AB Holding Units will provide us with the resources we need to meet our financial obligations. See “Cautions Regarding Forward-Looking Statements.

COMMITMENTS AND CONTINGENCIES

AB’s capital commitments, which consist primarily of operating leases for office space, generally are funded from future operating cash flows.

We have signed a lease which commences in 2024, relating to approximately 166,000 square feet of space in New York City. Our estimated total base rent obligation (excluding taxes, operating expenses and utilities) over the 20-year lease term is approximately $393.0 million.

During 2010, as general partner of AllianceBernstein U.S. Real Estate L.P. (“Real Estate Fund”), we committed to invest $25.0 million in the Real Estate Fund. As of September 30, 2021, we had funded $22.4 million of this commitment. During 2014, as general partner of AllianceBernstein U.S. Real Estate II L.P. (“Real Estate Fund II”), we committed to invest $27.3 million, as amended in 2020, in Real Estate Fund II. As of September 30, 2021, we had funded $21.0 million of this commitment.

See Note 12 for discussion of contingencies.

CRITICAL ACCOUNTING ESTIMATES

The preparation of the condensed consolidated financial statements and notes to condensed consolidated financial statements requires management to make estimates and judgments that affect the reported amounts of assets, liabilities, revenues and expenses.

There have been no updates to our critical accounting estimates from those disclosed in “Management’s Discussion and Analysis of Financial Condition” in our Form 10-K for the year ended December 31, 2020.

ACCOUNTING PRONOUNCEMENTS

See Note 2 to AB’s condensed consolidated financial statements contained in Item 1.

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CAUTIONS REGARDING FORWARD-LOOKING STATEMENTS

Certain statements provided by management in this report and in the portion of AB’s Form 10-Q attached hereto as Exhibit 99.1 are “forward-looking statements” within the meaning of the Private Securities Litigation Reform Act of 1995. Such forward-looking statements are subject to risks, uncertainties and other factors that could cause actual results to differ materially from future results expressed or implied by such forward-looking statements. The most significant of these factors include, but are not limited to, the following: the performance of financial markets, the investment performance of sponsored investment products and separately-managed accounts, general economic conditions, industry trends, future acquisitions, integration of acquired companies, competitive conditions and government regulations, including changes in tax regulations and rates and the manner in which the earnings of publicly-traded partnerships are taxed. We caution readers to carefully consider such factors. Further, these forward-looking statements speak only as of the date on which such statements are made; we undertake no obligation to update any forward-looking statements to reflect events or circumstances after the date of such statements. For further information regarding these forward-looking statements and the factors that could cause actual results to differ, see “Risk Factors” in Part I, Item 1A of our Form 10-K for the year ended December 31, 2020 and Part II, Item 1A in this Form 10-Q. Any or all of the forward-looking statements that we make in our Form 10-K, this Form 10-Q, other documents we file with or furnish to the SEC, and any other public statements we issue, may turn out to be wrong. It is important to remember that other factors besides those listed in “Risk Factors” and those listed below could also adversely impact our revenues, financial condition, results of operations and business prospects.

The forward-looking statements referred to in the preceding paragraph, most of which directly affect AB but also affect AB Holding because AB Holding’s principal source of income and cash flow is attributable to its investment in AB, include statements regarding:

Our belief that the cash flow AB Holding realizes from its investment in AB will provide AB Holding with the resources it needs to meet its financial obligations: AB Holding’s cash flow is dependent on the quarterly cash distributions it receives from AB. Accordingly, AB Holding’s ability to meet its financial obligations is dependent on AB’s cash flow from its operations, which is subject to the performance of the capital markets and other factors beyond our control.

Our financial condition and ability to access the public and private capital markets providing adequate liquidity for our general business needs: Our financial condition is dependent on our cash flow from operations, which is subject to the performance of the capital markets, our ability to maintain and grow client assets under management and other factors beyond our control. Our ability to access public and private capital markets on reasonable terms may be limited by adverse market conditions, our firm’s credit ratings, our profitability and changes in government regulations, including tax rates and interest rates.

The outcome of litigation: Litigation is inherently unpredictable, and excessive damage awards do occur. Though we have stated that we do not expect any pending legal proceedings to have a material adverse effect on our results of operations, financial condition or liquidity, any settlement or judgment with respect to a legal proceeding could be significant and could have such an effect.

The possibility that we will engage in open market purchases of AB Holding Units to help fund anticipated obligations under our incentive compensation award program: The number of AB Holding Units AB may decide to buy in future periods, if any, to help fund incentive compensation awards depends on various factors, some of which are beyond our control, including the fluctuation in the price of an AB Holding Unit (NYSE: AB) and the availability of cash to make these purchases.

Our determination that adjusted employee compensation expense should not exceed 50% of our adjusted net revenues:  Aggregate employee compensation reflects employee performance and competitive compensation levels. Fluctuations in our revenues and/or changes in competitive compensation levels could result in adjusted employee compensation expense exceeding 50% of our adjusted net revenues.

Our Relocation Strategy: While the expenses, expense savings and EPU impact we expect will result from our Relocation Strategy are presented with numerical specificity, and we believe these figures to be reasonable as of the date of this report, the uncertainties surrounding the assumptions on which our estimates are based create a significant risk that our current estimates may not be realized. These assumptions include:
the amount and timing of employee relocation costs, severance and overlapping compensation and occupancy costs we experience; and
the timing for execution of each phase of our relocation implementation plan.

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The Adverse Impact of COVID-19: The severity of any possible adverse impact on our AUM and revenues of any new economic downturn caused by a possible resurgence of the COVID-19 pandemic would depend on the depth and length of any such downturn and its impact on the companies in which we invest. Our conclusions about the possible adverse impact on us are based on our assumptions that the recovery from any such possible new economic downturn would be gradual and that there could again be significant, lasting high unemployment and economic damage. We believe that these assumptions are reasonable, but they may not be correct and economic conditions likely will differ from our assumptions.
Item 3.     Quantitative and Qualitative Disclosures About Market Risk

There have been no material changes in AB’s market risk from the information provided under “Quantitative and Qualitative Disclosures About Market Risk” in Part II, Item 7A of AB's Form 10-K for the year ended December 31, 2020.
Item 4.     Controls and Procedures

Disclosure Controls and Procedures

Each of AB Holding and AB maintains a system of disclosure controls and procedures that is designed to ensure that information required to be disclosed in our reports under the Exchange Act is (i) recorded, processed, summarized and reported in a timely manner, and (ii) accumulated and communicated to management, including the Chief Executive Officer ("CEO") and the Chief Financial Officer ("CFO"), to permit timely decisions regarding our disclosure.

As of the end of the period covered by this report, management carried out an evaluation, under the supervision and with the participation of the CEO and the CFO, of the effectiveness of the design and operation of the disclosure controls and procedures. Based on this evaluation, the CEO and the CFO concluded that the disclosure controls and procedures are effective.

Changes in Internal Control over Financial Reporting

No change in our internal control over financial reporting occurred during the third quarter of 2021 that materially affected, or are reasonably likely to materially affect, our internal control over financial reporting.
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