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Fair Value Disclosures
6 Months Ended
Jun. 30, 2016
Fair Value Disclosures [Abstract]  
Fair Value Disclosures
Fair Value Disclosures

The following is a summary of our financial instruments and trading liabilities that are accounted for at fair value on a recurring basis, excluding Investments at fair value based on net asset value ("NAV") of $30.3 million and $36.7 million, respectively, by level within the fair value hierarchy at June 30, 2016 and December 31, 2015 (in thousands):
 
June 30, 2016
 
Level 1 (1)
 
Level 2 (1)
 
Level 3
 
Counterparty
and
Cash
Collateral
Netting (2)
 
Total
Assets:
 
 
 
 
 
 
 
 
 
Trading assets, at fair value:
 
 
 
 
 
 
 
 
 
Corporate equity securities
$
2,828,939

 
$
141,115

 
$
48,816

 
$

 
$
3,018,870

Corporate debt securities

 
2,803,167

 
24,113

 

 
2,827,280

Collateralized debt obligations

 
62,763

 
52,710

 

 
115,473

U.S. government and federal agency securities
2,476,399

 
93,022

 

 

 
2,569,421

Municipal securities

 
638,929

 

 

 
638,929

Sovereign obligations
1,450,033

 
845,731

 
120

 

 
2,295,884

Residential mortgage-backed securities

 
1,353,973

 
63,308

 

 
1,417,281

Commercial mortgage-backed securities

 
615,289

 
24,983

 

 
640,272

Other asset-backed securities

 
137,396

 
43,033

 

 
180,429

Loans and other receivables

 
1,605,319

 
104,399

 

 
1,709,718

Derivatives
13,448

 
5,332,105

 
16,311

 
(5,030,887
)
 
330,977

Investments at fair value

 
29,000

 
273,271

 

 
302,271

Investment in FXCM

 

 
508,400

 

 
508,400

Total trading assets, excluding Investments at fair value based on NAV
$
6,768,819


$
13,657,809


$
1,159,464


$
(5,030,887
)

$
16,555,205

 
 
 
 
 
 
 
 
 
 
Available for sale securities:
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
69,626

 
$

 
$

 
$

 
$
69,626

Corporate debt securities

 
2,530

 

 

 
2,530

U.S. government securities
240,696

 

 

 

 
240,696

Residential mortgage-backed securities

 
28,142

 

 

 
28,142

Commercial mortgage-backed securities

 
4,091

 

 

 
4,091

Other asset-backed securities

 
19,059

 

 

 
19,059

Total available for sale securities
$
310,322


$
53,822


$


$


$
364,144

Cash and cash equivalents
$
3,030,936

 
$

 
$

 
$

 
$
3,030,936

Cash and securities segregated and on deposit for regulatory purposes or deposited with clearing and depository organizations (3)
$
836,871

 
$

 
$

 
$

 
$
836,871

 
 
 
 
 
 
 
 
 
 
Liabilities:
 

 
 

 
 

 
 

 
 

Trading liabilities:
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
1,846,996

 
$
88,806

 
$

 
$

 
$
1,935,802

Corporate debt securities

 
1,964,988

 

 

 
1,964,988

U.S. government and federal agency securities
1,349,746

 

 

 

 
1,349,746

Sovereign obligations
678,659

 
1,093,388

 

 

 
1,772,047

Residential mortgage-backed securities

 
1,045

 

 

 
1,045

Loans

 
597,623

 
1,896

 

 
599,519

Derivatives
1,878

 
5,502,360

 
20,735

 
(5,118,214
)
 
406,759

Total trading liabilities
$
3,877,279


$
9,248,210


$
22,631


$
(5,118,214
)

$
8,029,906

Other secured financings
$

 
$
46,305

 
$
468

 
$

 
$
46,773

Long-term Debt:
 
 
 
 
 
 
 
 
 
Structured notes
$

 
$
92,993

 
$

 
$

 
$
92,993

 
December 31, 2015
 
Level 1 (1)
 
Level 2 (1)
 
Level 3
 
Counterparty
and
Cash
Collateral
Netting (2)
 
Total
Assets:
 
 
 
 
 
 
 
 
 
Trading assets, at fair value:
 
 
 
 
 
 
 
 
 
Corporate equity securities
$
2,803,243

 
$
133,732

 
$
40,906

 
$

 
$
2,977,881

Corporate debt securities

 
2,867,165

 
25,876

 

 
2,893,041

Collateralized debt obligations

 
89,144

 
85,092

 

 
174,236

U.S. government and federal agency securities
2,555,018

 
90,633

 

 

 
2,645,651

Municipal securities

 
487,141

 

 

 
487,141

Sovereign obligations
1,251,366

 
1,407,955

 
120

 

 
2,659,441

Residential mortgage-backed securities

 
2,731,070

 
70,263

 

 
2,801,333

Commercial mortgage-backed securities

 
1,014,913

 
14,326

 

 
1,029,239

Other asset-backed securities

 
118,629

 
42,925

 

 
161,554

Loans and other receivables

 
1,123,044

 
189,289

 

 
1,312,333

Derivatives
2,253

 
4,406,207

 
19,785

 
(4,165,446
)
 
262,799

Investments at fair value

 
26,224

 
199,794

 

 
226,018

Investment in FXCM

 

 
625,689

 

 
625,689

Total trading assets, excluding Investments at fair value based on NAV
$
6,611,880


$
14,495,857


$
1,314,065


$
(4,165,446
)

$
18,256,356

 
 
 
 
 
 
 
 
 
 
Available for sale securities:
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
73,579

 
$

 
$

 
$

 
$
73,579

Corporate debt securities

 
4,744

 

 

 
4,744

U.S. government securities
63,945

 

 

 

 
63,945

Residential mortgage-backed securities

 
23,240

 

 

 
23,240

Commercial mortgage-backed securities

 
2,374

 

 

 
2,374

Other asset-backed securities

 
39,473

 

 

 
39,473

Total available for sale securities
$
137,524


$
69,831


$


$


$
207,355

Cash and cash equivalents
$
3,638,648

 
$

 
$

 
$

 
$
3,638,648

Cash and securities segregated and on deposit for regulatory purposes or deposited with clearing and depository organizations
$
751,084

 
$

 
$

 
$

 
$
751,084

 
 
 
 
 
 
 
 
 
 
Liabilities:
 

 
 

 
 

 
 

 
 

Trading liabilities:
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
1,428,048

 
$
36,518

 
$
38

 
$

 
$
1,464,604

Corporate debt securities

 
1,556,941

 

 

 
1,556,941

Collateralized debt obligations
1,488,121

 

 

 

 
1,488,121

U.S. government and federal agency securities
837,614

 
505,382

 

 

 
1,342,996

Sovereign obligations

 
117

 

 

 
117

Loans

 
758,939

 
10,469

 

 
769,408

Derivatives
364

 
4,456,334

 
19,543

 
(4,257,998
)
 
218,243

Total trading liabilities
$
3,754,147


$
7,314,231


$
30,050


$
(4,257,998
)

$
6,840,430

Other secured financings (4)
$

 
$
67,801

 
$
544

 
$

 
$
68,345


(1)
There were no material transfers between Level 1 and Level 2 during the six months ended June 30, 2016 and during the year ended December 31, 2015.
(2)
Represents counterparty and cash collateral netting across the levels of the fair value hierarchy for positions with the same counterparty.
(3)
Cash and securities segregated and on deposit for regulatory purposes or deposited with clearing and depository organizations includes U.S. treasury securities with a fair value of $99.9 million at June 30, 2016.
(4)
Level 2 liabilities include $67.8 million of other secured financings that were previously not disclosed in our Annual Report on Form 10-K for the year ended December 31, 2015.
The following is a description of the valuation basis, including valuation techniques and inputs, used in measuring our financial assets and liabilities that are accounted for at fair value on a recurring basis:

Corporate Equity Securities

Exchange Traded Equity Securities:  Exchange traded equity securities are measured based on quoted closing exchange prices, which are generally obtained from external pricing services, and are categorized within Level 1 of the fair value hierarchy, otherwise they are categorized within Level 2 or Level 3 of the fair value hierarchy.
Non-exchange Traded Equity Securities:  Non-exchange traded equity securities are measured primarily using broker quotations, pricing data from external pricing services and prices observed for recently executed market transactions and are categorized within Level 2 of the fair value hierarchy.  Where such information is not available, non-exchange traded equity securities are categorized within Level 3 of the fair value hierarchy and measured using valuation techniques involving quoted prices of or market data for comparable companies, similar company ratios and multiples (e.g., price/EBITDA, price/book value), discounted cash flow analyses and transaction prices observed for subsequent financing or capital issuance by the company.  When using pricing data of comparable companies, judgment must be applied to adjust the pricing data to account for differences between the measured security and the comparable security (e.g., issuer market capitalization, yield, dividend rate, geographical concentration).
Equity Warrants:  Non-exchange traded equity warrants are generally categorized within Level 3 of the fair value hierarchy and are measured using the Black-Scholes model with key inputs impacting the valuation including the underlying security price, implied volatility, dividend yield, interest rate curve, strike price and maturity date.

Corporate Debt Securities

Corporate Bonds:  Corporate bonds are measured primarily using pricing data from external pricing services and broker quotations, where available, prices observed for recently executed market transactions and bond spreads or credit default swap spreads of the issuer adjusted for basis differences between the swap curve and the bond curve.  Corporate bonds measured using these valuation methods are categorized within Level 2 of the fair value hierarchy.  If broker quotes, pricing data or spread data is not available, alternative valuation techniques are used including cash flow models incorporating interest rate curves, single name or index credit default swap curves for comparable issuers and recovery rate assumptions.  Corporate bonds measured using alternative valuation techniques are categorized within Level 3 of the fair value hierarchy and comprise a limited portion of our corporate bonds.
High Yield Corporate and Convertible Bonds:  A significant portion of our high yield corporate and convertible bonds are categorized within Level 2 of the fair value hierarchy and are measured primarily using broker quotations and pricing data from external pricing services, where available, and prices observed for recently executed market transactions of comparable size.  Where pricing data is less observable, valuations are categorized within Level 3 and are based on pending transactions involving the issuer or comparable issuers, prices implied from an issuer’s subsequent financings or recapitalizations, models incorporating financial ratios and projected cash flows of the issuer and market prices for comparable issuers.

Collateralized Debt Obligations

Collateralized debt obligations are measured based on prices observed for recently executed market transactions of the same or similar security or based on valuations received from third party brokers or data providers and are categorized within Level 2 or Level 3 of the fair value hierarchy depending on the observability and significance of the pricing inputs.  Valuation that is based on recently executed market transactions of similar securities incorporates additional review and analysis of pricing inputs and comparability criteria including but not limited to collateral type, tranche type, rating, origination year, prepayment rates, default rates, and severities.
U.S. Government and Federal Agency Securities

U.S. Treasury Securities:  U.S. Treasury securities are measured based on quoted market prices and categorized within Level 1 of the fair value hierarchy.
U.S. Agency Issued Debt Securities:  Callable and non-callable U.S. agency issued debt securities are measured primarily based on quoted market prices obtained from external pricing services and are generally categorized within Level 1 or Level 2 of the fair value hierarchy.

Municipal Securities

Municipal securities are measured based on quoted prices obtained from external pricing services and are generally categorized within Level 2 of the fair value hierarchy.

Sovereign Obligations

Foreign sovereign government obligations are measured based on quoted market prices obtained from external pricing services, where available, or recently executed independent transactions of comparable size.  To the extent external price quotations are not available or recent transactions have not been observed, valuation techniques incorporating interest rate yield curves and country spreads for bonds of similar issuers, seniority and maturity are used to determine fair value of sovereign bonds or obligations. Foreign sovereign government obligations are classified in Level 1, Level 2 or Level 3 of the fair value hierarchy, primarily based on the country of issuance.

Residential Mortgage-Backed Securities

Agency Residential Mortgage-Backed Securities:  Agency residential mortgage-backed securities include mortgage pass-through securities (fixed and adjustable rate), collateralized mortgage obligations and interest-only and principal-only securities and are generally measured using market price quotations from external pricing services and categorized within Level 2 of the fair value hierarchy.
Agency Residential Interest-Only and Inverse Interest-Only Securities ("Agency Inverse IOs"):  The fair value of Agency Inverse IOs is estimated using expected future cash flow techniques that incorporate prepayment models and other prepayment assumptions to amortize the underlying mortgage loan collateral.  We use prices observed for recently executed transactions to develop market-clearing spread and yield curve assumptions.  Valuation inputs with regard to the underlying collateral incorporate weighted average coupon, loan-to-value, credit scores, geographic location, maximum and average loan size, originator, servicer, and weighted average loan age.  Agency Inverse IOs are categorized within Level 2 or Level 3 of the fair value hierarchy. We also use vendor data in developing our assumptions, as appropriate.
Non-Agency Residential Mortgage-Backed Securities:  Fair values are determined primarily using discounted cash flow methodologies and securities are categorized within Level 2 or Level 3 of the fair value hierarchy based on the observability and significance of the pricing inputs used.  Performance attributes of the underlying mortgage loans are evaluated to estimate pricing inputs, such as prepayment rates, default rates and the severity of credit losses.  Attributes of the underlying mortgage loans that affect the pricing inputs include, but are not limited to, weighted average coupon; average and maximum loan size; loan-to-value; credit scores; documentation type; geographic location; weighted average loan age; originator; servicer; historical prepayment, default and loss severity experience of the mortgage loan pool; and delinquency rate.  Yield curves used in the discounted cash flow models are based on observed market prices for comparable securities and published interest rate data to estimate market yields.

Commercial Mortgage-Backed Securities

Agency Commercial Mortgage-Backed Securities:  Government National Mortgage Association (“GNMA”) project loans are measured based on inputs corroborated from and benchmarked to observed prices of recent securitization transactions of similar securities with adjustments incorporating an evaluation for various factors, including prepayment speeds, default rates, and cash flow structures as well as the likelihood of pricing levels in the current market environment. Federal National Mortgage Association (“FNMA”) Delegated Underwriting and Servicing (“DUS”) mortgage-backed securities are generally measured by using prices observed for recently executed market transactions to estimate market-clearing spread levels for purposes of estimating fair value.  GNMA project loan bonds and FNMA DUS mortgage-backed securities are categorized within Level 2 of the fair value hierarchy.
Non-Agency Commercial Mortgage-Backed Securities:  Non-agency commercial mortgage-backed securities are measured using pricing data obtained from external pricing services and prices observed for recently executed market transactions and are categorized within Level 2 and Level 3 of the fair value hierarchy.

Other Asset-Backed Securities

Other asset-backed securities include, but are not limited to, securities backed by auto loans, credit card receivables, student loans and other consumer loans and are categorized within Level 2 and Level 3 of the fair value hierarchy.  Valuations are primarily determined using pricing data obtained from external pricing services and broker quotes and prices observed for recently executed market transactions.

Loans and Other Receivables

Corporate Loans:  Corporate loans categorized within Level 2 of the fair value hierarchy are measured based on market price quotations where market price quotations from external pricing services are supported by market transaction data.  Corporate loans categorized within Level 3 of the fair value hierarchy are measured based on market price quotations that are considered to be less transparent, market prices for debt securities of the same creditor, and estimates of future cash flow incorporating assumptions regarding creditor default and recovery rates and consideration of the issuer’s capital structure.
Participation Certificates in Agency Residential Loans: Valuations of participation certificates in agency residential loans are based on observed market prices of recently executed purchases and sales of similar loans. The loan participation certificates are categorized within Level 2 of the fair value hierarchy given the observability and volume of recently executed transactions and availability of data provider pricing.
Project Loans and Participation Certificates in GNMA Project and Construction Loans:  Valuations of participation certificates in GNMA project and construction loans are based on inputs corroborated from and benchmarked to observed prices of recent securitizations of assets with similar underlying loan collateral to derive an implied spread. Securitization prices are adjusted to estimate the fair value of the loans incorporating an evaluation for various factors, including prepayment speeds, default rates, and cash flow structures as well as the likelihood of pricing levels in the current market environment. The measurements are categorized within Level 2 of the fair value hierarchy given the observability and volume of recently executed transactions.
Consumer Loans and Funding Facilities: Consumer and small business whole loans and related funding facilities are valued based on observed market transactions incorporating additional valuation inputs including, but not limited to, delinquency and default rates, prepayment rates, borrower characteristics, loan risk grades and loan age. These assets are categorized within Level 2 or Level 3 of the fair value hierarchy.
Escrow and Trade Claim Receivables:  Escrow and trade claim receivables are categorized within Level 3 of the fair value hierarchy where fair value is estimated based on reference to market prices and implied yields of debt securities of the same or similar issuers.  Escrow and trade claim receivables are categorized within Level 2 of the fair value hierarchy where fair value is based on recent trade activity in the same security.

Derivatives

Listed Derivative Contracts:  Listed derivative contracts that are actively traded are measured based on quoted exchange prices, which are generally obtained from external pricing services, and are categorized within Level 1 of the fair value hierarchy.  Listed derivatives for which there is limited trading activity are measured based on incorporating the closing auction price of the underlying equity security, use similar valuation approaches as those applied to over-the-counter derivative contracts and are categorized within Level 2 of the fair value hierarchy.
OTC Derivative Contracts:  Over-the-counter ("OTC") derivative contracts are generally valued using models, whose inputs reflect assumptions that we believe market participants would use in valuing the derivative in a current period transaction.  Inputs to valuation models are appropriately calibrated to market data.  For many OTC derivative contracts, the valuation models do not involve material subjectivity as the methodologies do not entail significant judgment and the inputs to valuation models do not involve a high degree of subjectivity as the valuation model inputs are readily observable or can be derived from actively quoted markets.  OTC derivative contracts are primarily categorized within Level 2 of the fair value hierarchy given the observability and significance of the inputs to the valuation models.  Where significant inputs to the valuation are unobservable, derivative instruments are categorized within Level 3 of the fair value hierarchy.

OTC options include OTC equity, foreign exchange, interest rate and commodity options measured using various valuation models, such as the Black-Scholes, with key inputs impacting the valuation including the underlying security, foreign exchange spot rate or commodity price, implied volatility, dividend yield, interest rate curve, strike price and maturity date.  Discounted cash flow models are utilized to measure certain OTC derivative contracts including the valuations of our interest rate swaps, which incorporate observable inputs related to interest rate curves, valuations of our foreign exchange forwards and swaps, which incorporate observable inputs related to foreign currency spot rates and forward curves and valuations of our commodity swaps and forwards, which incorporate observable inputs related to commodity spot prices and forward curves.  Credit default swaps include both index and single-name credit default swaps.  External prices are available as inputs in measuring index credit default swaps and single-name credit default swaps.  For commodity and equity total return swaps, market prices are observable for the underlying asset and used as the basis for measuring the fair value of the derivative contracts.  Total return swaps executed on other underlyings are measured based on valuations received from external pricing services.
National Beef Derivatives: National Beef uses futures contracts in order to reduce its exposure associated with entering into firm commitments to purchase live cattle at prices determined prior to the delivery of the cattle as well as firm commitments to sell certain beef products at sales prices determined prior to shipment. The futures contracts and their related firm purchase commitments are accounted for at fair value, which are classified as Level 1 or Level 2 within the fair value hierarchy. Certain firm commitments for live cattle purchases and all firm commitments for sales are treated as normal purchases and sales and therefore not marked to market. Fair values classified as Level 1 are calculated based on the quoted market prices of identical assets or liabilities compared to National Beef's cost of those same assets or liabilities. Fair values classified as Level 2 are calculated based on the difference between the contracted price for live cattle and the relevant quoted market price for live cattle futures.

Oil Futures Derivatives: Vitesse Energy uses call and put options in order to reduce exposure to future oil price fluctuations. Vitesse Energy accounts for the derivative instruments at fair value, which are classified as Level 2 within the fair value hierarchy. Fair values classified as Level 2 are determined under the income valuation technique using an option-pricing model that is based on directly or indirectly observable inputs.

Investments at Fair Value

Investments at fair value included in Trading assets on the Consolidated Statements of Financial Condition include direct equity investments in private companies, which are measured at fair value using valuation techniques involving quoted prices of or market data for comparable companies, similar company ratios and multiples (e.g., price/EBITDA, price/book value), discounted cash flow analyses and transaction prices observed for subsequent financing or capital issuance by the company.  Direct equity investments in private companies are categorized within Level 2 or Level 3 of the fair value hierarchy.  Additionally, investments at fair value include investments in insurance contracts relating to our defined benefit plan in Germany.  Fair value for the insurance contracts is determined using a third party and is categorized within Level 3 of the fair value hierarchy. 

Investment in FXCM

In January 2015, we entered into a credit agreement with FXCM, and provided FXCM a $300 million senior secured term loan due January 2017, with rights to a variable proportion of certain distributions in connection with an FXCM sale of assets or certain other events, and to require a sale of FXCM beginning in January 2018.  FXCM is an online provider of foreign exchange trading and related services.  The loan had an initial interest rate of 10% per annum, increasing by 1.5% per annum each quarter, not to exceed 20.5% per annum.  The variable proportion of distributions is as follows: 100% until amounts due under the loan are repaid; 50% of the next $350 million; then 90% of the next $500 million (this was an amount initially set at a range between $500 million to $680 million and based on payments made by FXCM to us through April 16, 2015, this amount became $500 million); and 60% of all amounts thereafter.  During the six months ended June 30, 2016, we received $16.2 million of principal, interest and fees from FXCM and $192.5 million remained outstanding under the credit agreement as of June 30, 2016. Through the first quarter of 2016 interest accrued at 16.0% per annum and in the second quarter of 2016 interest accrued at 17.5% per annum; in the third quarter of 2016 interest will accrue at 19.0% per annum.

FXCM is considered a variable interest entity and our term loan with rights is a variable interest.  We have determined that we are not the primary beneficiary of FXCM because we do not have the power to direct the activities that most significantly impact FXCM’s performance.  Therefore, we do not consolidate FXCM.

We view the FXCM loan and associated rights as one integrated transaction; since the rights, as derivatives, are accounted for at fair value, we have elected the fair value option for the loan.  The total amount of our investment in FXCM is reported within Trading assets, at fair value in our Consolidated Statements of Financial Condition, and unrealized and realized changes in value, including the component related to interest income on the loan, are included within Principal transactions in the Consolidated Statements of Operations.  We recorded in Principal transactions an aggregate $(47.9) million and $(101.1) million during the three and six months ended June 30, 2016, respectively, and $(112.1) million and $574.5 million during the three and six months ended June 30, 2015, respectively, of unrealized and realized gains (losses), interest income and fees relating to our investment in FXCM.  Our maximum exposure to loss as a result of our involvement with FXCM is limited to the carrying value of our investment ($508.4 million at June 30, 2016).

On March 10, 2016 we and FXCM entered into a nonbinding memorandum of understanding that would amend the terms of the FXCM loan and associated rights. Among other changes, the proposed amendments would extend the maturity of the term loan by one year to January 2018 to allow FXCM more time to optimize remaining asset sales; give Leucadia a 49.9% common membership interest in FXCM Newco, LLC ("FXCM Newco") as well as non-voting preferred shares; create an eight-member board for FXCM Newco, comprised of three directors appointed by Leucadia, three directors appointed by FXCM, and two independent directors; and put in place a long-term incentive program for FXCM senior management. The nonbinding memorandum of understanding remains subject to the execution of definitive agreements and FXCM's Board approval.

We engaged an independent valuation firm to assist management in estimating the fair value of our loan and rights in FXCM.  Our estimate of fair value was determined using valuation models with inputs including management’s assumptions concerning the amount and timing of expected cash flows; the loan’s implied credit rating and effective yield; implied total equity value, based primarily on the publicly traded FXCM stock price; volatility; risk-free rate; and term.  Because of these inputs and the degree of judgment involved, we have categorized our FXCM investment in Level 3.  The valuation is most significantly impacted by the inputs and assumptions related to the publicly traded stock price, volatility and the period of time until a liquidity event.  A $1.00 change in the price of FXCM’s shares alone (representing about 12% of the price at June 30, 2016 of its common stock), would result in a change of about $19 million in this valuation, assuming no change in any other factors we considered.  Likewise, a 10% change in the assumed volatility would result in a change of about $23 million in this valuation, assuming no other change in any other factors.  A three month change in the estimated period of time until a liquidity event would result in a change of about $8 million in this valuation, assuming no change in any other factors. As we adjust to fair value each quarter, we anticipate there could be volatility in the FXCM valuation, which could materially impact our results in a given period.

Investments at Fair Value Based on NAV and Investments in Managed Funds

Investments at fair value based on NAV and Investments in managed funds include investments in hedge funds, fund of funds, private equity funds, convertible bond funds and other funds, which are measured at the NAV of the funds provided by the fund managers and are excluded from the fair value hierarchy. The following tables present information about our investments in entities that have the characteristics of an investment company and are measured based on NAV (in thousands).
 
Fair Value (1)
 
Unfunded
Commitments
 
Redemption
Frequency
(if currently eligible)
June 30, 2016
 
 
 
 
 
Equity Long/Short Hedge Funds (2)
$
387,472

 
$

 
(2)
Fixed Income and High Yield Hedge Funds (3)
999

 

 
Fund of Funds (4)
284

 

 
Equity Funds (5)
35,130

 
20,512

 
Multi-asset Funds (6)
130,285

 

 
Total
$
554,170


$
20,512

 
 
 
 
 
 
 
 
 
 
 
 
 
 
December 31, 2015 (7)
 

 
 

 
 
Equity Long/Short Hedge Funds (2)
$
430,207

 
$

 
(2)
Fixed Income and High Yield Hedge Funds (3)
1,703

 

 
Fund of Funds (4)
287

 
94

 
Equity Funds (5)
42,111

 
20,791

 
Multi-asset Funds (6)
165,821

 

 
 
Convertible Bond Funds (8)
326

 

 
At Will
Total
$
640,455


$
20,885

 
 
 
(1)
Where fair value is calculated based on NAV, fair value has been derived from each of the funds' capital statements.
(2)
This category includes investments in hedge funds that invest, long and short, in primarily equity securities in domestic and international markets in both the public and private sectors.  At June 30, 2016 and December 31, 2015, investments with a fair value of $44.5 million and $54.7 million are redeemable with 30 to 90 days prior written notice. At June 30, 2016 and December 31, 2015, this category also includes investments in funds with broad industry and geographic diversification.  Investment in these funds are subject to a lock-up until August 15, 2019, subject to certain release events and other withdrawal rights.  Following this date, investments can be redeemed as of any calendar quarter-end with no less than 45 calendar days’ notice, subject to certain limitations.  At June 30, 2016 and December 31, 2015, our investments in these funds had an aggregate fair value of $340.7 million and $375.5 million, respectively.
(3)
This category includes investments in funds that invest in loans secured by a first trust deed on property, domestic and international public high yield debt, private high yield investments, senior bank loans, public leveraged equities, distressed debt, and private equity investments.  There are no redemption provisions.  At June 30, 2016 and December 31, 2015, the underlying assets of 9% and 8%, respectively, of these funds are being liquidated and we are unable to estimate when the underlying assets will be fully liquidated.
(4)
This category includes investments in fund of funds that invest in various private equity funds.  At June 30, 2016 and December 31, 2015, approximately 98% and 95%, respectively, of the fair value of investments in this category is managed by us and has no redemption provisions; instead distributions are received through the liquidation of the underlying assets of the fund of funds, which are estimated to start liquidating in the next six months.  For the remaining investments at December 31, 2015, we have requested redemption; however, we are unable to estimate when these funds will be received.
(5)
At June 30, 2016 and December 31, 2015, approximately 99% and 100%, respectively, of the fair value of investments in this category include investments in equity funds that invest in the equity of various U.S. and foreign private companies in the energy, technology, internet service and telecommunication service industries.  These investments cannot be redeemed; instead distributions are received through the liquidation of the underlying assets of the funds which are expected to liquidate in one to eight years. 
(6)
This category includes investments in hedge funds that invest, long and short, primarily in multi-asset securities in domestic and international markets in both the public and private sectors. At June 30, 2016 and December 31, 2015, investments representing approximately 12% and 32%, respectively, of the fair value of investments in this category are redeemable with 30 to 90 days prior written notice. At June 30, 2016, for the remaining investments in this category, withdrawals during any calendar quarter are limited to 25% of the fund’s net asset value. This restriction can be waived by us, in our sole discretion.
(7)
Certain prior period amounts have been recast to conform to the current year's presentation due to the presentation of multi-asset funds. Previously, these investments had been classified within equity long/short hedge funds.
(8)
Investment in the Jefferies Umbrella Fund, an open-ended investment company managed by Jefferies that invested primarily in convertible bonds.  The remaining investments were in liquidation at December 31, 2015 and the underlying assets were fully liquidated during the six months ended June 30, 2016.

Other Secured Financings

Other secured financings that are accounted for at fair value include notes issued by consolidated VIEs, which are classified as Level 2 or Level 3 within the fair value hierarchy.  Fair value is based on recent transaction prices for similar assets. 

Long-term Debt - Structured Notes

Long-term debt includes variable rate and fixed to floating rate structured notes that contain various interest rate payment terms and are generally measured using valuation models for the derivative and debt portions of the notes. These models incorporate market price quotations from external pricing sources referencing the appropriate interest rate curves and are generally categorized within Level 2 of the fair value hierarchy. The impact of Jefferies credit spreads is also included based on observed secondary bond market spreads and asset-swap spreads.

The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the three months ended June 30, 2016 (in thousands):
Three Months Ended June 30, 2016
 
Balance, March 31, 2016
 
Total gains (losses)
(realized and unrealized) (1)
 
Purchases
 
Sales
 
Settlements
 
Issuances
 
Net transfers
into (out of)
Level 3
 
Balance, June 30, 2016
 
Changes in
unrealized gains (losses) relating to instruments still held at
June 30,
2016 (1)
Assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Trading assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Corporate equity securities
$
30,540

 
$
(927
)
 
$
200

 
$
(508
)
 
$
(2,455
)
 
$

 
$
21,966

 
$
48,816

 
$
(849
)
Corporate debt securities
25,634

 
474

 
15

 
(789
)
 

 

 
(1,221
)
 
24,113

 
347

Collateralized debt obligations
67,348

 
1,797

 
943

 
(21,233
)
 

 

 
3,855

 
52,710

 
2,534

Sovereign obligations
119

 
1

 

 

 

 

 

 
120

 
1

Residential mortgage-backed securities
68,019

 
(4,915
)
 
3,422

 
(2,837
)
 
(122
)
 

 
(259
)
 
63,308

 
(2,233
)
Commercial mortgage-backed securities
21,994

 
(1,140
)
 

 

 
(311
)
 

 
4,440

 
24,983

 
(1,306
)
Other asset-backed securities
33,124

 
(7,284
)
 
3,549

 
(1,068
)
 
(52
)
 

 
14,764

 
43,033

 
(7,275
)
Loans and other receivables
155,442

 
(7,792
)
 
20,836

 
(13,347
)
 
(55,541
)
 

 
4,801

 
104,399

 
(6,231
)
Investments at fair value
275,389

 
(1,375
)
 
3,540

 

 
(283
)
 

 
(4,000
)
 
273,271

 
193

Investment in FXCM
564,800

 
(47,853
)
 

 

 
(8,547
)
 

 

 
508,400

 
(47,853
)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Trading liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
38

 
$

 
$

 
$

 
$

 
$

 
$
(38
)
 
$

 
$

Net derivatives (2)
11,757

 
3

 

 

 
(83
)
 
451

 
(7,704
)
 
4,424

 
(3
)
Loans
7,744

 
(261
)
 

 

 
(71
)
 

 
(5,516
)
 
1,896

 
261

Other secured financings
538

 
(70
)
 

 

 

 

 

 
468

 
70


(1)
Realized and unrealized gains (losses) are reported in Principal transactions in the Consolidated Statements of Operations.
(2)
Net derivatives represent Trading assets - Derivatives and Trading liabilities - Derivatives.

Analysis of Level 3 Assets and Liabilities for the three months ended June 30, 2016

During the three months ended June 30, 2016, transfers of assets of $107.1 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Other asset-backed securities of $30.7 million and residential mortgage-backed securities of $19.3 million, for which no recent trade activity was observed for purposes of determining observable inputs;
Corporate equity securities of $22.0 million due to a lack of observable market transactions;
Loans and other receivables of $15.9 million due to a lower number of contributors comprising vendor quotes to support classification within Level 2.

During the three months ended June 30, 2016, transfers of assets of $62.7 million from Level 3 to Level 2 are primarily attributed to:
Non-agency residential mortgage-backed securities of $19.5 million and other asset-backed securities of $16.0 million for which market trades were observed in the period for either identical or similar securities.

Net losses on Level 3 assets were $69.0 million and net gains on Level 3 liabilities were $0.3 million for three months ended June 30, 2016.  Net losses on Level 3 assets were primarily due to decreased valuations of our investment in FXCM and decreased valuations of loans and other receivables, other asset-backed securities, residential mortgage-backed securities, corporate equity securities, investments at fair value and commercial mortgage-backed securities, partially offset by an increase in valuations of collateralized debt obligations and corporate debt securities. 
The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the six months ended June 30, 2016 (in thousands):
Six Months Ended June 30, 2016
 
Balance, December 31, 2015
 
Total gains (losses)
(realized and unrealized) (1)
 
Purchases
 
Sales
 
Settlements
 
Issuances
 
Net transfers
into (out of)
Level 3
 
Balance at June 30, 2016
 
Changes in
unrealized gains (losses) relating to instruments still held at
June 30,
2016 (1)
Assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Trading assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Corporate equity securities
$
40,906

 
$
1,571

 
$
2,287

 
$
(508
)
 
$
(2,455
)
 
$

 
$
7,015

 
$
48,816

 
$
2,080

Corporate debt securities
25,876

 
(2,378
)
 
16,564

 
(16,613
)
 
(245
)
 

 
909

 
24,113

 
(2,474
)
Collateralized debt obligations
85,092

 
(20,455
)
 
24,024

 
(43,696
)
 
(473
)
 

 
8,218

 
52,710

 
(12,002
)
Sovereign obligations
120

 

 

 

 

 

 

 
120

 

Residential mortgage-backed securities
70,263

 
(8,337
)
 
1,483

 
(4,843
)
 
(235
)
 

 
4,977

 
63,308

 
(4,011
)
Commercial mortgage-backed securities
14,326

 
(2,589
)
 
2,951

 
(2,023
)
 
(1,208
)
 

 
13,526

 
24,983

 
(3,140
)
Other asset-backed securities
42,925

 
(202
)
 
64,833

 
(74,690
)
 
(4,713
)
 

 
14,880

 
43,033

 
(7,134
)
Loans and other receivables
189,289

 
(13,376
)
 
203,990

 
(127,944
)
 
(150,975
)
 

 
3,415

 
104,399

 
(15,693
)
Investments at fair value
199,794

 
59,242

 
4,727

 

 
(555
)
 

 
10,063

 
273,271

 
66,243

Investment in FXCM
625,689

 
(101,056
)
 

 

 
(16,233
)
 

 

 
508,400

 
(101,056
)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Trading liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
38

 
$

 
$

 
$

 
$

 
$

 
$
(38
)
 
$

 
$

Net derivatives (2)
(242
)
 
10,075

 

 

 
(46
)
 
1,005

 
(6,368
)
 
4,424

 
(11,008
)
Loans
10,469

 
(541
)
 
(2,240
)
 
1,033

 
(1,149
)
 

 
(5,676
)
 
1,896

 
250

Other secured financings
544

 
(76
)
 

 

 

 

 

 
468

 
76


(1)
Realized and unrealized gains (losses) are reported in Principal transactions in the Consolidated Statements of Operations.
(2)
Net derivatives represent Trading assets - Derivatives and Trading liabilities - Derivatives.

Analysis of Level 3 Assets and Liabilities for the six months ended June 30, 2016

During the six months ended June 30, 2016, transfers of assets of $155.9 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Collateralized debt obligations of $30.6 million, other asset-backed securities of $28.0 million and non-agency residential mortgage-backed securities of $21.7 million, for which no recent trade activity was observed for purposes of determining observable inputs;
Investments at fair value of $26.1 million due to a lack of observable market transactions;
Loans and other receivables of $20.2 million due to a lower number of contributors comprising vendor quotes to support classification within Level 2.

During the six months ended June 30, 2016, transfers of assets of $92.9 million from Level 3 to Level 2 are primarily attributed to:
Collateralized debt obligations of $22.3 million and loans and other receivables of $16.8 million due to a greater number of contributors for certain vendor quotes supporting classification into Level 2;
Non-agency residential mortgage-backed securities of $16.7 million for which market trades were observed in the period for either identical or similar securities;
Investments at fair value of $16.1 million due to an increase in observable market transactions.

Net losses on Level 3 assets were $87.6 million and net losses on Level 3 liabilities were $9.5 million for six months ended June 30, 2016.  Net losses on Level 3 assets were primarily due to decreased valuations of our investment in FXCM and decreased valuations of collateralized debt obligations, residential mortgage-backed securities, loans and other receivables, commercial mortgage-backed securities and corporate debt securities partially offset by an increase in valuations of investments at fair value. Net losses on Level 3 liabilities were primarily due to increased valuations of certain derivative instruments.
The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the three months ended June 30, 2015 (in thousands):

Three Months Ended June 30, 2015
 
Balance, March 31, 2015
 
Total gains (losses)
(realized and unrealized) (1)
 
Purchases
 
Sales
 
Settlements
 
Issuances
 
Net transfers
into (out of)
Level 3
 
Balance, June 30, 2015
 
Changes in
unrealized gains (losses) relating to instruments still held at
June 30,
2015 (1)
Assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Trading assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Corporate equity securities
$
18,210

 
$
8,030

 
$

 
$
(73
)
 
$

 
$

 
$
(5,620
)
 
$
20,547

 
$
8,073

Corporate debt securities
24,795

 
(532
)
 
2,183

 
(2,368
)
 

 

 
7,839

 
31,917

 
(922
)
Collateralized debt obligations
96,837

 
(5,120
)
 
29,021

 
(25,430
)
 

 

 
(6,301
)
 
89,007

 
(2,328
)
U.S. government and federal agency securities
333

 
(12
)
 
320

 
(641
)
 

 

 

 

 

Residential mortgage-backed securities
79,953

 
(1,820
)
 
8,733

 
(4,915
)
 
(323
)
 

 
7,067

 
88,695

 
315

Commercial mortgage-backed securities
24,629

 
(789
)
 
1,256

 
(9,237
)
 
(173
)
 

 
2,176

 
17,862

 
(759
)
Other asset-backed securities
7,146

 
(19
)
 
8,322

 
(80
)
 
(270
)
 

 
(3,242
)
 
11,857

 
41

Loans and other receivables
111,410

 
(748
)
 
40,602

 
(26,335
)
 
(16,314
)
 

 
141

 
108,756

 
(669
)
Investments at fair value
151,365

 
3,766

 
73

 
(78
)
 
(264
)
 

 

 
154,862

 
3,868

Investment in FXCM
947,000

 
(112,093
)
 

 

 
(75,907
)
 

 

 
759,000

 
(112,093
)
Liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Trading liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
38

 
$

 
$

 
$

 
$

 
$

 
$

 
$
38

 
$

Corporate debt securities

 
339

 

 
113

 

 

 

 
452

 
(339
)
Net derivatives (2)
3,314

 
(4,912
)
 
(11,963
)
 

 
12,078

 
389

 
(492
)
 
(1,586
)
 
4,912

Loans
9,327

 
(332
)
 
(1,170
)
 
350

 
2,557

 

 

 
10,732

 
332

Other secured financings
65,602

 

 

 

 
(9,542
)
 

 

 
56,060

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
(1)
Realized and unrealized gains (losses) are reported in Principal transactions in the Consolidated Statements of Operations.
(2)
Net derivatives represent Trading assets - Derivatives and Trading liabilities - Derivatives.

Analysis of Level 3 Assets and Liabilities for the three months ended June 30, 2015

During the three months ended June 30, 2015, transfers of assets of $98.4 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Collateralized debt obligations of $48.0 million, non-agency residential mortgage-backed securities of $30.0 million, commercial mortgage-backed securities of $7.7 million and other asset-backed securities of $2.1 million for which no recent trade activity was observed for purposes of determining observable inputs;
Loans and other receivables of $1.0 million due to a lower number of contributors comprising vendor quotes to support classification within Level 2;
Corporate debt securities of $8.2 million and corporate equity securities of $1.4 million due to a lack of observable market transactions.

During the three months ended June 30, 2015, transfers of assets of $96.4 million from Level 3 to Level 2 are primarily attributed to:
Non-agency residential mortgage-backed securities of $23.0 million, commercial mortgage-backed securities of $5.5 million and other asset-backed securities of $5.4 million for which market trades were observed in the period for either identical or similar securities;
Collateralized debt obligations of $54.4 million due to a greater number of contributors for certain vendor quotes supporting classification into Level 2;
Corporate equity securities of $7.0 million due to an increase in observable market transactions.
Net losses on Level 3 assets were $109.3 million and net gains on Level 3 liabilities were $4.9 million for three months ended June 30, 2015.  Net losses on Level 3 assets were primarily due to decreased valuations of our investment in FXCM and decreased valuations of collateralized debt obligations, residential and commercial mortgage-backed securities and loans and other receivables, partially offset by increased valuations of certain corporate equity securities and investments at fair value.  Net gains on Level 3 liabilities were primarily due to decreased valuations of certain derivative instruments.
The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the six months ended June 30, 2015 (in thousands):
Six Months Ended June 30, 2015
 
Balance, December 31, 2014
 
Total gains (losses)
(realized and unrealized) (1)
 
Purchases
 
Sales
 
Settlements
 
Issuances
 
Net transfers
into (out of)
Level 3
 
Balance, June 30, 2015
 
Changes in
unrealized gains (losses) relating to instruments still held at
June 30,
2015 (1)
Assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Trading assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Corporate equity securities
$
20,964

 
$
7,066

 
$
1,469

 
$
(262
)
 
$

 
$

 
$
(8,690
)
 
$
20,547

 
$
7,077

Corporate debt securities
22,766

 
(796
)
 
3,095

 
(3,445
)
 

 

 
10,297

 
31,917

 
(929
)
Collateralized debt obligations
124,650

 
(17,229
)
 
66,246

 
(59,532
)
 
(147
)
 

 
(24,981
)
 
89,007

 
(8,989
)
Residential mortgage-backed securities
82,557

 
(3,735
)
 
24,083

 
(18,899
)
 
(477
)
 

 
5,166

 
88,695

 
(822
)
Commercial mortgage-backed securities
26,655

 
(1,124
)
 
4,685

 
(12,128
)
 
(6,971
)
 

 
6,745

 
17,862

 
(496
)
Other asset-backed securities
2,294

 
(258
)
 
8,385

 
(79
)
 
(207
)
 

 
1,722

 
11,857

 
(97
)
Loans and other receivables
97,258

 
(5,795
)
 
71,865

 
(29,184
)
 
(33,895
)
 

 
8,507

 
108,756

 
(3,166
)
Investments at fair value
77,047

 
4,311

 
5,270

 
(427
)
 
(541
)
 

 
69,202

 
154,862

 
4,578

Investment in FXCM

 
574,534

 
279,000

 

 
(94,534
)
 

 

 
759,000

 
574,534

Liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Trading liabilities:
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Corporate equity securities
$
38

 
$

 
$

 
$

 
$

 
$

 
$

 
$
38

 
$

Corporate debt securities
223

 
225

 
(6,677
)
 
6,804

 

 

 
(123
)
 
452

 
(339
)
Net derivatives (2)
(4,638
)
 
1,925

 
(8,848
)
 
120

 
8,395

 
1,460

 

 
(1,586
)
 
(3,586
)
Loans
14,450

 
(277
)
 
(759
)
 
350

 

 

 
(3,032
)
 
10,732

 
277

Other secured financings
30,825

 

 

 

 
(11,760
)
 
36,995

 

 
56,060

 


(1)
Realized and unrealized gains (losses) are reported in Principal transactions in the Consolidated Statements of Operations.
(2)
Net derivatives represent Trading assets - Derivatives and Trading liabilities - Derivatives.

Analysis of Level 3 Assets and Liabilities for the six months ended June 30, 2015

During the six months ended June 30, 2015, transfers of assets of $155.0 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Collateralized debt obligations of $27.3 million, non-agency residential mortgage-backed securities of $20.3 million, commercial mortgage-backed securities of $10.2 million and other asset-backed securities of $2.1 million for which no recent trade activity was observed for purposes of determining observable inputs;
Loans and other receivables of $13.9 million due to a lower number of contributors comprising vendor quotes to support classification within Level 2;
Corporate debt securities of $10.4 million, corporate equity securities of $1.6 million and investments at fair value of $69.2 million due to lack of observable market transactions.

During the six months ended June 30, 2015, transfers of assets of $87.0 million from Level 3 to Level 2 are primarily attributed to:
Non-agency residential mortgage-backed securities of $15.1 million and commercial mortgage-backed securities of $3.5 million for which market trades were observed in the period for either identical or similar securities;
Collateralized debt obligations of $52.3 million and loans and other receivables of $5.3 million due to a greater number of contributors for certain vendor quotes supporting classification into Level 2;
Corporate equity securities of $10.3 million due to an increase in observable market transactions.

During the six months ended June 30, 2015, there were transfers of loan liabilities of $3.0 million from Level 3 to Level 2 due to an increase in observable inputs in the valuation.

Net gains on Level 3 assets were $557.0 million and net losses on Level 3 liabilities were $1.9 million for the six months ended June 30, 2015. Net gains on Level 3 assets were primarily due to increased valuations of our investment in FXCM and increases in valuations of corporate equity securities and certain investments at fair value, partially offset by decreased valuations of collateralized debt obligations, loans and other receivables, and residential and commercial mortgage-backed securities.  Net losses on Level 3 liabilities were primarily due to increased valuations of certain derivatives.

Quantitative Information about Significant Unobservable Inputs used in Level 3 Fair Value Measurements

The tables below present information on the valuation techniques, significant unobservable inputs and their ranges for our financial assets and liabilities, subject to threshold levels related to the market value of the positions held, measured at fair value on a recurring basis with a significant Level 3 balance.  The range of unobservable inputs could differ significantly across different firms given the range of products offered in the financial services sector.  The inputs are not representative of the inputs that could have been used in the valuation of any one financial instrument; i.e., the input used for valuing one financial instrument within a particular class of financial instruments may not be appropriate for valuing other financial instruments within that given class.  Additionally, the ranges of inputs presented below should not be construed to represent uncertainty regarding the fair values of our financial instruments; rather the ranges of inputs are reflective of the differences in the underlying characteristics of the financial instruments in each category.

For certain categories, we have provided a weighted average of the inputs allocated based on the fair values of the financial instruments comprising the category.  We do not believe that the range or weighted average of the inputs is indicative of the reasonableness of uncertainty of our Level 3 fair values.  The range and weighted average are driven by the individual financial instruments within each category and their relative distribution in the population.  The disclosed inputs when compared with the inputs as disclosed in other quarters should not be expected to necessarily be indicative of changes in our estimates of unobservable inputs for a particular financial instrument as the population of financial instruments comprising the category will vary from period to period based on purchases and sales of financial instruments during the period as well as transfers into and out of Level 3 each period.

June 30, 2016
Financial Instruments Owned
 
Fair Value
(in thousands)
 
Valuation
 Technique
 
Significant
Unobservable Input(s)
 
Input/Range
 
Weighted
Average
Corporate equity securities
 
$
43,622

 
 
 
 
 
 
 
 
Non-exchange traded securities
 
 

 
Market approach
 
EBITDA (a) multiple
 
5.0 to 16.0
 
12.3

 
 
 
 
 
 
Transaction level
 
$2
 
 
 
 
 
 

 
Underlying stock price
 
$1 to $102
 
$
21.0

 
 
 
 
Comparable pricing
 
Discount factor
 
65%
 

 
 
 
 
 
 
Underlying stock price
 
$4
 

 
 
 
 
 
 
 
 
 
 
 
Corporate debt securities
 
$
24,113

 
Convertible bond model
 
Discount rate/yield
 
10%
 

 
 
 
 
 
 
Volatility
 
40%
 

 
 
 
 
Scenario analysis
 
Estimated recovery percentage
 
6.3%
 

 
 
 
 
Comparable pricing
 
Discount factor
 
91%
 

 
 
 
 
 
 
 
 
 
 
 
Collateralized debt obligations
 
$
33,406

 
Discounted cash flows
 
Constant prepayment rate
 
10% to 20%
 
19
%
 
 
 

 
   
 
Constant default rate
 
2% to 8%
 
3
%
 
 
 

 
   
 
Loss severity
 
25% to 70%
 
30
%
 
 
 

 
   
 
Yield
 
5% to 22%
 
17
%
 
 
 
 
 
 
 
 
 
 
 
Residential mortgage-backed securities
 
$
63,308

 
Discounted cash flows
 
Constant prepayment rate
 
0% to 50%
 
15
%
 
 
 

 
   
 
Constant default rate
 
1% to 50%
 
5
%
 
 
 

 
   
 
Loss severity
 
15% to 85%
 
45
%
 
 
 

 
   
 
Yield
 
1% to 9%
 
5
%
 
 
 
 
 
 
 
 
 
 
 
Commercial mortgage-backed securities
 
$
24,983

 
Discounted cash flows
 
Yield
 
7% to 17%
 
11
%
 
 
 

 
   
 
Cumulative loss rate
 
1% to 71%
 
17
%
 
 
 
 
 
 
 
 
 
 
 
Other asset-backed securities
 
$
21,571

 
Discounted cash flows
 
Constant prepayment rate
 
0% to 30%
 
17
%
 
 
 

 
   
 
Constant default rate
 
0% to 30%
 
10
%
 
 
 

 
   
 
Loss severity
 
0% to 100%
 
67
%
 
 
 

 
   
 
Yield
 
3% to 22%
 
11
%
 
 
 
 
 
 
 
 
 
 
 
Loans and other receivables
 
$
103,059

 
Comparable pricing
 
Comparable loan price
 
$99
 

 
 
 

 
Market approach
 
Discount rate/yield
 
2% to 10%
 
8
%
 
 
 

 
Scenario analysis
 
Estimated recovery percentage
 
6% to 100%
 
56
%
 
 
 
 
 
 
 
 
 
 
 
Derivatives
 
$
16,311

 
 
 
 
 
 
 
 

Total return swaps
 
 
 
Comparable pricing
 
Comparable loan price
 
$86 to $100
 
$
95.0

 Credit default swaps
 
 

 
    Market approach
 
Credit spread
 
290 bps
 

Interest rate swaps
 
 
 
    Market approach
 
Credit spread
 
670 bps to 800 bps
 
710 bps

Commodity forwards
 
 
 
    Present value
 
 Average silver production tons per day
 
783
 

 
 
 
 
 
 
 
 
 
 
 
Investments at fair value
 
 

 
 
 
 
 
 
 
 

Private equity securities
 
$
30,196

 
Market approach
 
Transaction level
 
$74
 

 
 
 
 
 
 
Enterprise value
 
$5,200,000
 

 
 
 
 
 
 
Discount rate
 
15% to 30%
 
23
%
 
 
 
 
 
 
 
 
 
 
 
Investment in FXCM
 
 

 
 
 
 
 
 
 
 

Term loan
 
$
209,400

 
Discounted cash flows
 
Term based on the pay off
 
0 months to 1.0 year
 
0.7 years
Rights
 
299,000

 
Option pricing model
 
Volatility
 
85%
 

 
 
$
508,400

 
 
 
 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
Trading Liabilities
 
Fair Value
(in thousands)
 
Valuation
 Technique
 
Significant
Unobservable Input(s)
 
Input/Range
 
Weighted
Average
Derivatives
 
$
20,735

 
 
 
 
 
 
 
 

Equity options
 
 
 
Option model
 
Volatility
 
45%
 

 
 
 
 
Default rate
 
    Default probability
 
0%
 

Unfunded commitments
 
 

 
Comparable pricing
 
Comparable loan price
 
$99
 

 
 
 
 
Market approach
 
Discount rate/yield
 
4% to 52%
 
48
%
Total return swaps
 
 
 
Comparable pricing
 
Comparable loan price
 
$86 to $100
 
$
95.0

Variable funding note swaps
 
 

 
Discounted cash flows
 
Constant prepayment rate
 
20%
 

 
 
 

 
   
 
Constant default rate
 
2%
 

 
 
 

 
   
 
Loss severity
 
25%
 

 
 
 

 
   
 
Yield
 
13%
 

Foreign exchange forwards
 
 
 
    Market approach
 
Credit spread
 
500 bps
 

 
 
 
 
 
 
 
 
 
 
 
Loans
 
$
1,896

 
Scenario analysis
 
Estimated recovery percentage
 
14%
 

December 31, 2015
Financial Instruments Owned
 
Fair Value
(in thousands)
 
Valuation
 Technique
 
Significant
Unobservable Input(s)
 
Input/Range
 
Weighted
Average
Corporate equity securities
 
$
20,285

 
 
 
 
 
 
 
 
Non-exchange traded securities
 
 

 
Market approach
 
EBITDA (a) multiple
 
4.4
 

 
 
 

 
 
 
Transaction level
 
$1
 

 
 
 
 
 
 
Underlying stock price
 
$5 to $102
 
$19.0
Corporate debt securities
 
$
20,257

 
Convertible bond model
 
Discount rate/yield
 
86%
 

 
 
 
 
Market approach
 
Transaction level
 
$59
 

Collateralized debt obligations
 
$
49,923

 
Discounted cash flows
 
Constant prepayment rate
 
5% to 20%
 
13
%
 
 
 

 
   
 
Constant default rate
 
2% to 8%
 
2
%
 
 
 

 
   
 
Loss severity
 
25% to 90%
 
52
%
 
 
 

 
   
 
Yield
 
6% to 13%
 
10
%
Residential mortgage-backed securities
 
$
70,263

 
Discounted cash flows
 
Constant prepayment rate
 
0% to 50%
 
13
%
 
 
 

 
   
 
Constant default rate
 
1% to 9%
 
3
%
 
 
 

 
   
 
Loss severity
 
25% to 70%
 
39
%
 
 
 

 
   
 
Yield
 
1% to 9%
 
6
%
Commercial mortgage-backed securities
 
$
14,326

 
Discounted cash flows
 
Yield
 
7% to 30%
 
16
%
 
 
 

 
   
 
Cumulative loss rate
 
2% to 63%
 
23
%
Other asset-backed securities
 
$
21,463

 
Discounted cash flows
 
Constant prepayment rate
 
6% to 8%
 
7
%
 
 
 

 
   
 
Constant default rate
 
3% to 5%
 
4
%
 
 
 

 
   
 
Loss severity
 
55% to 75%
 
62
%
 
 
 

 
   
 
Yield
 
7% to 22%
 
18
%
 
 
 
 
Over-collateralization
 
Over-collateralization percentage
 
117% to 125%
 
118
%
Loans and other receivables
 
$
161,470

 
Comparable pricing
 
Comparable loan price
 
$99 to $100
 
$99.7
 
 
 

 
Market approach
 
Yield
 
2% to 17%
 
12
%
 
 
 

 
   
 
EBITDA (a) multiple
 
10.0
 

 
 
 

 
Scenario analysis
 
Estimated recovery percentage
 
6% to 100%
 
83
%
Derivatives
 
$
19,785

 
 
 
 
 
 
 
 

Commodity forwards
 
 

 
Market approach
 
Discount rate/yield
 
47%
 

 
 
 
 
 
 
Transaction level
 
$9,500,000
 

Unfunded commitment
 
 

 
Comparable pricing
 
Comparable loan price
 
$100
 

 
 
 
 
    Market approach
 
Credit spread
 
298 bps
 

Total return swap
 
 
 
Comparable pricing
 
Comparable loan price
 
$91.7 to $92.4
 
$92.1
Investments at fair value
 
 

 
 
 
 
 
 
 
 

Private equity securities
 
$
29,940

 
Market approach
 
Transaction level
 
$64
 

 
 
 
 
 
 
Enterprise value
 
$5,200,000
 

 
 
 
 
 
 
Discount rate
 
15% to 30%
 
23
%
Investment in FXCM
 
 

 
 
 
 
 
 
 
 

Term loan
 
$
203,700

 
Discounted cash flows
 
Term based on the pay off
 
0 months to 1.0 year
 
0.4 years
Rights
 
422,000

 
Option pricing model
 
Volatility
 
110%
 

 
 
$
625,700

 
 
 
 
 
 
 
 

 
 
 

 
 
 
 
 
 
 
 
Trading Liabilities
 
Fair Value
(in thousands)
 
Valuation
 Technique
 
Significant
Unobservable Input(s)
 
Input/Range
 
Weighted
Average
Derivatives
 
$
19,543

 
 
 
 
 
 
 
 

Equity options
 
 

 
Option model
 
Volatility
 
45%
 

 
 
 
 
Default rate
 
    Default probability
 
0%
 

Unfunded commitments
 
 

 
Comparable pricing
 
Comparable loan price
 
$79 to $100
 
$82.6
 
 
 
 
Market approach
 
Discount rate/yield
 
3% to 10%
 
10
%
 
 
 
 
Discounted cash flows
 
Constant prepayment rate
 
20%
 

 
 
 
 
   
 
Constant default rate
 
2%
 

 
 
 
 
   
 
Loss severity
 
25%
 

 
 
 
 
   
 
Yield
 
11%
 

Total return swap
 
 
 
Comparable pricing
 
Comparable loan price
 
$91.7 to $92.4
 
$92.1
Loans
 
$
10,469

 
Comparable pricing
 
Comparable loan price
 
$100
 


(a)
Earnings before interest, taxes, depreciation and amortization (“EBITDA”).

The fair values of certain Level 3 assets and liabilities that were determined based on third-party pricing information, unadjusted past transaction prices, reported net asset value or a percentage of the reported enterprise fair value are excluded from the above table.  At June 30, 2016 and December 31, 2015, asset exclusions consisted of $290.5 million and $280.6 million, respectively, primarily comprised of certain corporate equity and debt securities, investments at fair value, private equity securities, derivative contracts, collateralized debt obligations, sovereign obligations and certain loans and other receivables.  At June 30, 2016 and December 31, 2015, liability exclusions consisted of $0.5 million and $0.6 million, respectively, of certain corporate debt and equity securities and other secured financings.

Sensitivity of Fair Values to Changes in Significant Unobservable Inputs
For recurring fair value measurements categorized within Level 3 of the fair value hierarchy, the sensitivity of the fair value measurement to changes in significant unobservable inputs and interrelationships between those unobservable inputs (if any) are described below:
Loans and other receivables, corporate debt securities, unfunded commitments, corporate equity securities and total return swaps using comparable pricing valuation techniques. A significant increase (decrease) in the comparable loan, bond price or underlying stock price in isolation would result in a significantly higher (lower) fair value measurement.
Corporate debt securities using a convertible bond model. A significant increase (decrease) in the bond discount rate/yield would result in a significantly lower (higher) fair value measurement. A significant increase (decrease) in volatility or estimated recovery percentage would result in a significantly higher (lower) fair value measurement.
Non-exchange traded securities, corporate debt securities, loans and other receivables, unfunded commitments, commodity forwards, credit default swaps, interest rate swaps, foreign exchange forwards and private equity securities using a market approach valuation technique. A significant increase (decrease) in the EBITDA or other multiples in isolation would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the discount rate/yield of a corporate debt security, loan and other receivable or certain derivatives would result in a significantly lower (higher) fair value measurement. A significant increase (decrease) in the transaction level of a private equity security, loan and other receivable or commodity forward would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the enterprise value of a private equity security would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the underlying stock price of the non-exchange traded securities would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the credit spread of certain derivatives would result in a significantly (lower) higher fair value measurement.
Loans and other receivables and corporate debt securities using scenario analysis. A significant increase (decrease) in the possible recovery rates of the cash flow outcomes underlying the investment would result in a significantly higher (lower) fair value measurement for the financial instrument.
Collateralized debt obligations, residential and commercial mortgage-backed securities and other asset-backed securities, variable funding notes and unfunded commitments using a discounted cash flow valuation technique. A significant increase (decrease) in isolation in the constant default rate, and loss severities or cumulative loss rate would result in a significantly lower (higher) fair value measurement. The impact of changes in the constant prepayment rate would have differing impacts depending on the capital structure of the security. A significant increase (decrease) in the loan or bond yield would result in a significantly lower (higher) fair value measurement.
Certain other asset-backed securities using an over-collateralization model. A significant increase (decrease) in the over-collateralization percentage would result in a significantly higher (lower) fair value measurement.
Derivative equity options using an option model.  A significant increase (decrease) in volatility would result in a significantly higher (lower) fair value measurement.
Derivative equity options using a default rate model.  A significant increase (decrease) in default probability would result in a significantly higher (lower) fair value measurement.
Derivative commodity forwards using a present value model. A significant increase (decrease) in average silver production would result in higher (lower) fair value measurement.
Investment in FXCM using a discounted cash flow valuation technique and an option pricing model.  A significant increase (decrease) in term based on the time to pay off the loan would result in a higher (lower) fair value measurement.  A significant increase (decrease) in volatility or time to liquidity event would result in a significantly lower (higher) fair value measurement.


Fair Value Option Election
We have elected the fair value option for all loans and loan commitments made by Jefferies capital markets businesses.  These loans and loan commitments include loans entered into by Jefferies investment banking division in connection with client bridge financing and loan syndications, loans purchased by Jefferies leveraged credit trading desk as part of its bank loan trading activities and mortgage loan commitments and fundings in connection with mortgage-backed securitization activities.  Loans and loan commitments originated or purchased by Jefferies leveraged credit and mortgage-backed businesses are managed on a fair value basis.  Loans are included in Trading assets and loan commitments are included in Trading liabilities.  The fair value option election is not applied to loans made to affiliate entities as such loans are entered into as part of ongoing, strategic business ventures.  Loans to affiliate entities are included within Loans to and investments in associated companies and are accounted for on an amortized cost basis.  We have also elected the fair value option for Jefferies structured notes which are managed by Jefferies capital markets businesses and are included in Long-term debt on the Consolidated Statements of Financial Condition. We have elected the fair value option for certain financial instruments held by Jefferies subsidiaries as the investments are risk managed on a fair value basis.  The fair value option has also been elected for certain secured financings that arise in connection with Jefferies securitization activities and other structured financings.  Other secured financings, receivables from brokers, dealers and clearing organizations, receivables from customers of securities operations, payables to brokers, dealers and clearing organizations and payables to customers of securities operations, are accounted for at cost plus accrued interest rather than at fair value; however, the recorded amounts approximate fair value due to their liquid or short-term nature.
The following is a summary of gains (losses) due to changes in instrument specific credit risk on loans, other receivables and debt instruments and gains (losses) due to other changes in fair value on long-term debt measured at fair value under the fair value option for the three and six months ended June 30, 2016 and 2015 (in thousands):
 
For the Three Months Ended June 30,

For the Six Months Ended June 30,
 
 
 
2016
 
2015
 
2016
 
2015
Financial Instruments Owned:
 
 
 
 
 
 
 
Loans and other receivables
$
(10,564
)
 
$
(5,294
)
 
$
(24,901
)
 
$
(2,377
)
 
 
 
 
 
 
 
 
Financial Instruments Sold:
 

 
 

 
 

 
 

Loans
$
407

 
$
110

 
$
405

 
$
238

Loan commitments
$
1,173

 
$
5,544

 
$
(2,573
)
 
$
(1,622
)
 
 
 
 
 
 
 
 
Long-term Debt:
 

 
 

 
 

 
 

Changes in instrument specific credit risk (1)
$
(3,453
)
 
$

 
$
(3,755
)
 
$

Other changes in fair value (2)
$
3,489

 
$

 
$
10,305

 
$


(1) Changes in instrument-specific credit risk related to structured notes are included in the Consolidated Statements of Comprehensive Income (Loss).
(2) Other changes in fair value include $3.9 million and $10.7 million for the three and six months ended June 30, 2016, respectively, included within Principal transactions revenues and $0.4 million and $0.4 million for the three and six months ended June 30, 2016, respectively, included within Interest expense on the Consolidated Statements of Operations.

The following is a summary of the amount by which contractual principal exceeds fair value for loans and other receivables and long-term debt measured at fair value under the fair value option (in thousands):
 
June 30, 2016
 
December 31, 2015
 
 
 
 
Financial Instruments Owned:
 
 
 
Loans and other receivables (1)
$
416,434

 
$
408,369

Loans and other receivables on nonaccrual status (1) (2)
$
143,620

 
$
54,652

Long-term Debt
$
7,072

 
$


(1)
Interest income is recognized separately from other changes in fair value and is included within Interest income in the Consolidated Statements of Operations.
(2)
Amounts include all loans and other receivables greater than 90 days past due of $42.9 million and $29.7 million at June 30, 2016 and December 31, 2015, respectively.

The aggregate fair value of loans and other receivables on nonaccrual status and/or greater than 90 days or more past due was $51.8 million and $307.5 million at June 30, 2016 and December 31, 2015, respectively, which includes loans and other receivables greater than 90 days past due of $23.3 million and $11.3 million at June 30, 2016 and December 31, 2015, respectively.

We have elected the fair value option for Jefferies investment in KCG Holdings, Inc.  The change in the fair value of this investment was $55.8 million and $20.4 million for three months ended June 30, 2016 and 2015, respectively, and $17.7 million and $55.0 million for six months ended June 30, 2016 and 2015, respectively.

As of June 30, 2016 and December 31, 2015, we owned approximately 46.6 million common shares of HRG, representing approximately 23% of HRG’s outstanding common shares, which are accounted for under the fair value option. The shares are included in our Consolidated Statements of Financial Condition at fair value of $639.8 million and $631.9 million at June 30, 2016 and December 31, 2015, respectively.  The shares were acquired at an aggregate cost of $475.6 million.  The change in the fair value of our investment in HRG aggregated $(9.3) million and $24.2 million, respectively, during the three months ended June 30, 2016 and 2015, respectively, and $7.9 million and $(54.1) million for six months ended June 30, 2016 and 2015, respectively.  We currently have two directors on HRG’s board. 
We believe accounting for these investments at fair value better reflects the economics of these investments, and quoted market prices for these investments provides an objectively determined fair value at each balance sheet date.  Our investment in HomeFed is the only other investment accounted for under the equity method of accounting that is also a publicly traded company for which we did not elect the fair value option.  HomeFed’s common stock is not listed on any stock exchange, and price information for the common stock is not regularly quoted on any automated quotation system.  It is traded in the over-the-counter market with high and low bid prices published by the NASD OTC Bulletin Board Service; however, trading volume is minimal.  For these reasons we did not elect the fair value option for HomeFed.