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Fair Value
9 Months Ended
Sep. 30, 2020
Fair Value Disclosures [Abstract]  
Fair Value Fair Value
See Note 14, Consolidated Company-Sponsored Investment Funds, for disclosure of fair value of our consolidated company-sponsored investment funds.

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

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

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

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

Valuation of our financial instruments by pricing observability levels as of September 30, 2020 and December 31, 2019 was as follows (in thousands):
 Level 1Level 2Level 3
NAV Expedient(1)
Other Total
September 30, 2020:
Money markets$131,614 $— $— $— $— $131,614 
Securities segregated (U.S. Treasury Bills)— 1,868,891 — — — 1,868,891 
Derivatives 317 26,353 — — — 26,670 
Investments:
  Equity securities 143,749 22,096 121 171 — 166,137 
Long exchange-traded options12,153 — — — — 12,153 
   Limited partnership hedge funds(2)
— — — — 41,459 41,459 
   Time deposits(3)
— — — — 19,900 19,900 
   Other investments6,257 — — — 7,786 14,043 
Total investments162,159 22,096 121 171 69,145 253,692 
Total assets measured at fair value$294,090 $1,917,340 $121 $171 $69,145 $2,280,867 
Securities sold not yet purchased:    
Short equities – corporate$2,892 $— $— $— $— $2,892 
Short exchange-traded options11,091 — — — — 11,091 
Derivatives223 28,007 — — — 28,230 
Contingent payment arrangements— — 29,723 — — 29,723 
Total liabilities measured at fair value$14,206 $28,007 $29,723 $ $ $71,936 
 Level 1Level 2Level 3
NAV Expedient(1)
Other Total
December 31, 2019:
Money markets$126,401 $— $— $— $— $126,401 
Securities segregated (U.S. Treasury Bills)— 1,094,866 — — — 1,094,866 
Derivatives 939 12,552 — — — 13,491 
Investments:
  Equity securities170,946 8,952 119 314 — 180,331 
  Long exchange-traded options6,931 — — — — 6,931 
    Limited partnership hedge funds(2)
— — — — 47,361 47,361 
    Time deposits(3)
— — — — 18,281 18,281 
    Other investments5,883 — — — 8,007 13,890 
Total investments183,760 8,952 119 314 73,649 266,794 
Total assets measured at fair value$311,100 $1,116,370 $119 $314 $73,649 $1,501,552 
Securities sold not yet purchased:    
Short equities – corporate$17,809 $— $— $— $— $17,809 
Short exchange-traded options12,348 — — — — 12,348 
Derivatives871 18,388 — — — 19,259 
Contingent payment arrangements— — 22,911 — — 22,911 
Total liabilities measured at fair value$31,028 $18,388 $22,911 $ $ $72,327 

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

Other investments include (i) an investment in a software publishing company that does not have a readily available fair value ($2.0 million as of September 30, 2020 and $1.0 million as of December 31, 2019), (ii) an investment in a start-up company that does not have a readily available fair value (this investment was zero as of September 30, 2020 and was $0.9 million as of December 31, 2019), (iii) an investment in an equity method investee that is not measured at fair value in accordance with GAAP ($2.5 million as of September 30, 2020 and $2.9 million as of December 31, 2019), and (iv) broker dealer exchange memberships that are not measured at fair value in accordance with GAAP ($3.3 million as of September 30, 2020 and $3.2 million as of December 31, 2019).
We provide below a description of the fair value methodologies used for instruments measured at fair value, as well as the general classification of such instruments pursuant to the valuation hierarchy:

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

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

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

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

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

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

•    Contingent payment arrangements: Contingent payment arrangements relate to contingent payment liabilities associated with various acquisitions. At each reporting date, we estimate the fair values of the contingent consideration expected to be paid based upon probability-weighted AUM and revenue projections, using unobservable market data inputs, which are included in Level 3 of the valuation hierarchy.
During the nine months ended September 30, 2020 there were no transfers between Level 2 and Level 3 securities.
The change in carrying value associated with Level 3 financial instruments carried at fair value, classified as private equity and equity securities, is as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2020201920202019
 (in thousands)
Balance as of beginning of period$114 $117 $119 $142 
Purchases— — — — 
Sales— — — — 
Realized gains (losses), net— — — — 
Unrealized gains (losses), net(24)
Balance as of end of period$121 $118 $121 $118 

Realized and unrealized gains and losses on Level 3 financial instruments are recorded in investment gains and losses in the condensed consolidated statements of income.
As part of acquisitions made by the Company, we may enter into contingent consideration arrangements as part of the purchase price. The change in carrying value associated with Level 3 financial instruments carried at fair value, classified as contingent payment arrangements, is as follows:
 Three Months Ended September 30,Nine Months Ended September 30,
 2020201920202019
 (in thousands)
Balance as of beginning of period$28,910 $25,603 $22,911 $7,336 
Addition— — 4,400 17,384 
Accretion813 829 2,412 1,712 
Payments— — — — 
Balance as of end of period$29,723 $26,432 $29,723 $26,432 

As of September 30, 2020 and December 31, 2019, we have acquisition-related contingent liabilities remaining with a fair value of $29.7 million and $22.9 million, respectively.

The liabilities were valued using expected revenue growth rates and discount rates. The expected revenue growth rates range from 0.7% to 50.0%, with a weighted average of 4.9%, calculated using cumulative revenues and range of revenue growth rates (excluding revenue growth from additional AUM contributed from existing clients). The discount rates ranged from 1.9% to 10.4%, with a weighted average of 8.0%, calculated using total contingent liabilities and range of discount rates.
Assets and Liabilities Measured at Fair Value on a Nonrecurring Basis We did not have any material assets or liabilities that were measured at fair value for impairment on a nonrecurring basis during the nine months ended September 30, 2020 or during the year ended December 31, 2019.