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Fair Value Measurements for Operating Entities and Consolidated Funds - Assets and Liabilities at Fair Value on a Recurring Basis (Details) - USD ($)
$ in Thousands
Mar. 31, 2021
Dec. 31, 2020
Mar. 31, 2020
Dec. 31, 2019
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value $ 95,536 $ 51,482    
Other investments 366,783 255,027    
Other Investments, Consolidated Funds 100,035 192,670    
Investments 3,727,394 2,511,403    
Securities sold, not yet purchased, at fair value 931,082 728,115    
Securities sold, not yet purchased, at fair value 931,082 728,115    
Payable for derivative contracts, at fair value 52,125 76,160    
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, Low 10,100 10,100    
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High 25,000 35,100    
Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Balance Liability Value 23,813 42,837    
Corporate Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Balance Liability Value 415 704   $ 1,000
Contingent liability payable        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Balance Liability Value 19,579 37,952 $ 28,658 $ 30,896
Swaps        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 142,266 64,634    
Payable for derivative contracts, at fair value 82,391 43,560    
Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value [1] 42,124 49,102    
Portfolio Funds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Other investments [2] 151,933 133,454    
Other Investments, Consolidated Funds [2] 100,035 192,670    
Carried interest        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Other investments [2] 180,352 82,892    
Equity Method Investments        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Other investments [2] 34,498 38,681    
Fair Value, Measurements, Recurring        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring 3,260,576 2,063,706    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 1,002,786 840,993    
Fair Value, Measurements, Recurring | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring 3,007,451 1,847,389    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 958,334 777,908    
Fair Value, Measurements, Recurring | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring 224,048 151,125    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 82,445 57,281    
Fair Value, Measurements, Recurring | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring 118,315 127,461    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 23,813 42,837    
Fair Value, Measurements, Recurring | Government Securities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 522 1,500    
Fair Value, Measurements, Recurring | Government Securities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Government Securities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Government Securities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 522 1,500    
Fair Value, Measurements, Recurring | Common Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 918,021 699,894    
Fair Value, Measurements, Recurring | Common Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 918,021 699,894    
Fair Value, Measurements, Recurring | Common Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Common Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Corporate Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 453 11,358    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 38 10,654    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 415 704    
Fair Value, Measurements, Recurring | Preferred Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 7,567 6,589    
Fair Value, Measurements, Recurring | Preferred Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 7,567 6,589    
Fair Value, Measurements, Recurring | Preferred Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Preferred Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Warrants and Rights        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 4,519 8,774    
Fair Value, Measurements, Recurring | Warrants and Rights | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 4,519 8,774    
Fair Value, Measurements, Recurring | Warrants and Rights | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Warrants and Rights | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Contingent liability payable        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Contingent Consideration Payable 19,579 [3] 36,718 [4]    
Fair Value, Measurements, Recurring | Contingent liability payable | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Contingent Consideration Payable 0 [3] 0 [4]    
Fair Value, Measurements, Recurring | Contingent liability payable | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Contingent Consideration Payable 0 [3] 0 [4]    
Fair Value, Measurements, Recurring | Contingent liability payable | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Contingent Consideration Payable [4]   36,718    
Fair Value, Measurements, Recurring | Currency forward        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   15    
Fair Value, Measurements, Recurring | Currency forward | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   0    
Fair Value, Measurements, Recurring | Currency forward | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   15    
Fair Value, Measurements, Recurring | Currency forward | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   0    
Fair Value, Measurements, Recurring | Currency forward | Derivative Liabilities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 16 3,067    
Fair Value, Measurements, Recurring | Currency forward | Derivative Liabilities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Currency forward | Derivative Liabilities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 16 3,067    
Fair Value, Measurements, Recurring | Currency forward | Derivative Liabilities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Swaps | Derivative Liabilities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 20,585 6,527    
Fair Value, Measurements, Recurring | Swaps | Derivative Liabilities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Swaps | Derivative Liabilities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 82,391 43,560    
Fair Value, Measurements, Recurring | Swaps | Derivative Liabilities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Derivative Liability, Fair Value, Amount Offset Against Collateral [5] (61,806) (37,033)    
Fair Value, Measurements, Recurring | Options | Derivative Liabilities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 31,524 66,566    
Fair Value, Measurements, Recurring | Options | Derivative Liabilities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 28,227 62,651    
Fair Value, Measurements, Recurring | Options | Derivative Liabilities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Options | Derivative Liabilities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 3,297 3,915    
Fair Value, Measurements, Recurring | Government Securities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 19,671 19,721    
Fair Value, Measurements, Recurring | Government Securities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 19,671 19,721    
Fair Value, Measurements, Recurring | Government Securities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Government Securities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Preferred Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 66,853 69,358    
Fair Value, Measurements, Recurring | Preferred Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 10,376 9,391    
Fair Value, Measurements, Recurring | Preferred Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Preferred Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 56,477 59,967    
Fair Value, Measurements, Recurring | Common Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 2,934,604 1,770,301    
Fair Value, Measurements, Recurring | Common Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 2,911,824 1,746,407    
Fair Value, Measurements, Recurring | Common Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 74 108    
Fair Value, Measurements, Recurring | Common Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 22,706 23,786    
Fair Value, Measurements, Recurring | Convertible Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 3,137 6,040    
Fair Value, Measurements, Recurring | Convertible Bonds | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Convertible Bonds | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Convertible Bonds | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 3,137 6,040    
Fair Value, Measurements, Recurring | Corporate Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 81,460 86,503    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 81,324 86,368    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 136 135    
Fair Value, Measurements, Recurring | Trade Claims        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 5,905 8,713    
Fair Value, Measurements, Recurring | Trade Claims | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Trade Claims | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Trade Claims | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 5,905 8,713    
Fair Value, Measurements, Recurring | Term Loans        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 12,424 12,623    
Fair Value, Measurements, Recurring | Term Loans | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Term Loans | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Term Loans | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 12,424 12,623    
Fair Value, Measurements, Recurring | Warrants and Rights        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 30,961 27,701    
Fair Value, Measurements, Recurring | Warrants and Rights | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 23,037 21,154    
Fair Value, Measurements, Recurring | Warrants and Rights | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Warrants and Rights | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 7,924 6,547    
Fair Value, Measurements, Recurring | Private Equity Investments        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   642    
Trading Securities, Equity 1,085      
Fair Value, Measurements, Recurring | Private Equity Investments | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   0    
Trading Securities, Equity 0      
Fair Value, Measurements, Recurring | Private Equity Investments | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   0    
Trading Securities, Equity 0      
Fair Value, Measurements, Recurring | Private Equity Investments | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   642    
Trading Securities, Equity 1,085      
Fair Value, Measurements, Recurring | Derivative Assets | Currency forward        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 384      
Fair Value, Measurements, Recurring | Derivative Assets | Currency forward | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0      
Fair Value, Measurements, Recurring | Derivative Assets | Currency forward | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 384      
Fair Value, Measurements, Recurring | Derivative Assets | Currency forward | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0      
Fair Value, Measurements, Recurring | Derivative Assets | Swaps        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 53,028 2,365    
Fair Value, Measurements, Recurring | Derivative Assets | Swaps | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Derivative Assets | Swaps | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 142,266 64,634    
Fair Value, Measurements, Recurring | Derivative Assets | Swaps | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Derivative Asset, Fair Value, Amount Offset Against Collateral [5] (89,238) (62,269)    
Fair Value, Measurements, Recurring | Derivative Assets | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 42,124 49,102    
Fair Value, Measurements, Recurring | Derivative Assets | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 41,883 48,851    
Fair Value, Measurements, Recurring | Derivative Assets | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Derivative Assets | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 241 251    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 3,611 4,816    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 660 1,865    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 2,951 2,951    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 5,329 5,806    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity $ 5,329 $ 5,806    
[1] Includes the volume of contracts for index, equity, commodity future and cash conversion options.
[2] In accordance with US GAAP, portfolio funds are measured at fair value using the net asset value per share (or its equivalent) as a practical expedient are not classified in the fair value hierarchy. Carried interest and equity method investments presented in the table above are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the condensed consolidated statement of financial condition.
[3] In accordance with the terms of the purchase agreements for acquisitions that closed during the first quarter of 2019 and the fourth quarter of 2020, the Company is required to pay to the sellers a portion of future net income and/or revenues of the acquired businesses, if certain targets are achieved through the periods ended December 31, 2020 and December 31, 2023. For both the Quarton Acquisition and the MHT Acquisition, the Company estimated the contingent consideration liabilities using a combination of Monte Carlo and Discounted Cash Flow methods which require the Company to make estimates and assumptions regarding the future cash flows and profits. Changes in these estimates and assumptions could have a significant impact on the amounts recognized. The undiscounted amounts for the Quarton Acquisition can range from $10.1 million to $25.0 million. The undiscounted amounts for the MHT Acquisition have no minimum or maximum as it is calculated based on revenue.
[4] In accordance with the terms of the purchase agreements for acquisitions that closed during the first quarter of 2019 and the fourth quarter of 2020, the Company is required to pay to the sellers a portion of future net income and/or revenues of the acquired businesses, if certain targets are achieved through the periods ended December 31, 2020 and December 31, 2023. For both the Quarton Acquisition and the MHT Acquisition, the Company estimated the contingent consideration liabilities using a combination of Monte Carlo and Discounted Cash Flow methods which require the Company to make estimates and assumptions regarding the future cash flows and profits. Changes in these estimates and assumptions could have a significant impact on the amounts recognized. The undiscounted amounts for the Quarton Acquisition can range from $10.1 million to $35.1 million. The undiscounted amounts for the MHT Acquisition have no minimum or maximum as it is calculated based on revenue.
[5] Derivatives are reported on a net basis, by counterparty, when a legal right of offset exists under an enforceable netting agreement as well as net of cash collateral received or posted under enforceable credit support agreements. See Note 2f for further information on offsetting of derivative financial instruments.