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Fair Value (Tables)
12 Months Ended
Dec. 31, 2019
Fair Value Disclosures [Abstract]  
Fair Value of Assets and Liabilities Measured on a Recurring Basis
Valuation of our financial instruments by pricing observability levels as of December 31, 2019 and 2018 was as follows (in thousands):
 
Level 1
 
Level 2
 
Level 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 securities
170,946

 
8,952

 
119

 
314

 

 
180,331

      Long exchange-traded options
6,931

 

 

 

 

 
6,931

      Limited partnership hedge
      funds(2)

 

 

 

 
47,361

 
47,361

        Time deposits(3)

 

 

 

 
18,281

 
18,281

        Other investments
5,883

 

 

 

 
8,007

 
13,890

Total investments
183,760

 
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 options
12,348

 

 

 

 

 
12,348

Derivatives
871

 
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

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Level 1
 
Level 2
 
Level 3
 
NAV Expedient(1)
 
Other
 
Total
December 31, 2018:
 
 
 
 
 
 
 
 
 
 
 
Money markets
$
102,888

 
$

 
$

 
$

 
$

 
$
102,888

Securities segregated (U.S. Treasury Bills)

 
1,169,554

 

 

 

 
1,169,554

Derivatives
1,594

 
15,485

 

 

 

 
17,079

Investments
 
 
 
 
 
 
 
 
 
 
 
      U.S. Treasury Bills

 
392,424

 

 

 

 
392,424

      Equity securities
209,414

 
8,372

 
142

 
315

 

 
218,243

      Long exchange-traded options
2,568

 

 

 

 

 
2,568

      Limited partnership hedge
      funds(2)

 

 

 

 
80,699

 
80,699

        Time deposits(3)

 

 

 

 
8,783

 
8,783

        Other investments
4,269

 

 

 

 
7,358

 
11,627

Total investments
216,251

 
400,796

 
142

 
315

 
96,840

 
714,344

Total assets measured at fair value
$
320,733

 
$
1,585,835

 
$
142

 
$
315

 
$
96,840

 
$
2,003,865

 
 
 
 
 
 
 
 
 
 
 
 
Securities sold not yet purchased
 

 
 

 
 

 
 
 
 
 
 

Short equities – corporate
$
4,841

 
$

 
$

 
$

 
$

 
$
4,841

Short exchange-traded options
3,782

 

 

 

 

 
3,782

Derivatives
2,534

 
12,288

 

 

 

 
14,822

Contingent payment arrangements

 

 
7,336

 

 

 
7,336

Total liabilities measured at fair value
$
11,157

 
$
12,288

 
$
7,336

 
$

 
$

 
$
30,781

(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.

Fair Value Measurement Level 3 Reconciliation
The change in carrying value associated with Level 3 financial instruments carried at fair value, classified as equity securities, is as follows:
 
December 31, 2019
 
December 31, 2018
 
(in thousands)
Balance as of beginning of period
$
142

 
$
1,071

Purchases

 

Sales

 

Realized gains (losses), net

 

Unrealized (losses) gains, net
(23
)
 
(929
)
Balance as of end of period
$
119

 
$
142


Schedule of Contingent Payment Arrangements Level 3 Financial Instruments The change in carrying value associated with Level 3 financial instruments carried at fair value, classified as contingent payment arrangements, is as follows:
 
December 31, 2019
 
December 31, 2018
 
(in thousands)
Balance as of beginning of period
$
7,336

 
$
10,855

Addition
17,384

 

Accretion
2,542

 
210

Changes in estimates
(3,051
)
 
(2,429
)
Payments
(1,300
)
 
(1,300
)
Balance as of end of period
$
22,911

 
$
7,336