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Fair Value Measurements - Assets and Liabilities Measured at Fair Value on Recurring Basis (Details) - USD ($)
$ in Thousands
Mar. 31, 2021
Dec. 31, 2020
ASSETS    
Deposits with clearing organizations $ 25,899 $ 23,991
Securities owned    
Securities owned, at fair value 605,330 610,517
Securities Owned and Sold, Not yet Purchased, at Fair Value, Security Owned, Including Disposal Group Securities Owned 605,330 610,517
Investments 4,440 4,181
Investments 4,821 4,836
Derivative contracts    
Total 635,752 638,704
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 360,486 126,171
Derivative contracts:    
Derivative contracts 417 220
Total 360,903 126,391
Auction Rate Securities Purchase Commitment    
Derivative contracts:    
Derivative contracts 65 195
Equity Securities [Member]    
Securities owned    
Securities owned, at fair value 41,364 36,554
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 22,187 17,892
Money Market Funds [Member]    
Securities owned    
Securities owned, at fair value 413 200
Auction rate securities    
Securities owned    
Securities owned, at fair value 31,470 30,701
U.S. Treasury securities    
Securities owned    
Securities owned, at fair value 427,489 448,312
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 324,612 93,261
US Government Agencies Debt Securities [Member]    
Securities owned    
Securities owned, at fair value 18,339 24,616
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 5 9
Sovereign obligations    
Securities owned    
Securities owned, at fair value 409 367
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 1,609 623
Corporate debt and other obligations    
Securities owned    
Securities owned, at fair value 21,227 23,977
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 6,199 5,283
Mortgage and other asset-backed securities    
Securities owned    
Securities owned, at fair value 5,541 3,103
Municipal obligations    
Securities owned    
Securities owned, at fair value 40,296 25,190
Convertible bonds    
Securities owned    
Securities owned, at fair value 18,782 17,497
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 5,873  
Mortgage Backed Securities, Other    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 1  
Level 1    
ASSETS    
Deposits with clearing organizations 25,899 23,991
Securities owned    
Securities owned, at fair value 469,266 485,066
Derivative contracts    
Total 495,165 509,057
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 346,799 111,153
Derivative contracts:    
Derivative contracts 296 22
Total 347,095 111,175
Level 1 | Corporate equities    
Securities owned    
Securities owned, at fair value 41,364 36,554
Level 1 | Money markets    
Securities owned    
Securities owned, at fair value 413 200
Level 1 | Auction rate securities    
Securities owned    
Securities owned, at fair value 0  
Level 1 | U.S. Treasury securities    
Securities owned    
Securities owned, at fair value 427,489 448,312
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 324,612 93,261
Level 1 | US Government Agencies Debt Securities [Member]    
Securities owned    
Securities owned, at fair value 0 0
Level 1 | Corporate debt and other obligations    
Securities owned    
Securities owned, at fair value 0  
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0  
Level 1 | Equity Securities [Member]    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 22,187 17,892
Level 2    
Securities owned    
Securities owned, at fair value 104,594 94,750
Investments 4,440 4,181
Derivative contracts    
Total 109,117 98,946
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 13,687 15,018
Derivative contracts:    
Derivative contracts 56 3
Total 13,743 15,021
Level 2 | Auction Rate Securities Purchase Commitment    
Derivative contracts:    
Derivative contracts 0 0
Level 2 | Auction rate securities    
Securities owned    
Securities owned, at fair value 0 0
Level 2 | US Government Agencies Debt Securities [Member]    
Securities owned    
Securities owned, at fair value 18,339 24,616
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 5 9
Level 2 | Sovereign obligations    
Securities owned    
Securities owned, at fair value 409 367
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 1,609 623
Level 2 | Corporate debt and other obligations    
Securities owned    
Securities owned, at fair value 21,227 23,977
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 6,199 5,283
Level 2 | Mortgage and other asset-backed securities    
Securities owned    
Securities owned, at fair value 5,541 3,103
Level 2 | Municipal obligations    
Securities owned    
Securities owned, at fair value 40,296 25,190
Level 2 | Convertible bonds    
Securities owned    
Securities owned, at fair value 18,782 17,497
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 5,873  
Level 2 | Mortgage Backed Securities, Other    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 1  
Level 3    
Securities owned    
Securities owned, at fair value 31,470 30,701
Investments 0  
Derivative contracts    
Total 31,470 30,701
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0  
Derivative contracts:    
Derivative contracts 65 195
Total 65 195
Level 3 | Auction Rate Securities Purchase Commitment    
Derivative contracts:    
Derivative contracts 65 195
Level 3 | Auction rate securities    
Securities owned    
Securities owned, at fair value 31,470 30,701
Level 3 | Municipal obligations    
Securities owned    
Securities owned, at fair value   0
TBAs    
Derivative contracts    
Derivative contracts, total 83 15
Derivative contracts:    
Derivative contracts 56 3
TBAs | Level 2    
Derivative contracts    
Derivative contracts, total 83 15
Derivative contracts:    
Derivative contracts 56 3
Future [Member]    
Derivative contracts:    
Derivative contracts 296 22
Future [Member] | Level 1    
Derivative contracts:    
Derivative contracts $ 296 $ 22