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Fair Value Measurements - Assets and Liabilities Measured at Fair Value on Recurring Basis (Details) - USD ($)
$ in Thousands
Sep. 30, 2021
Dec. 31, 2020
ASSETS    
Deposits with clearing organizations $ 27,899 $ 23,991
Securities owned    
Securities owned, at fair value 561,683 610,517
Securities Owned and Sold, Not yet Purchased, at Fair Value, Security Owned, Including Disposal Group Securities Owned 561,683 610,517
Investments 4,771 4,181
Investments 5,570 4,836
Derivative contracts    
Derivative contracts, total 526  
Total 594,879 638,704
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 84,145 126,171
Derivative contracts:    
Derivative contracts 531 220
Total 84,676 126,391
Auction Rate Securities Purchase Commitment    
Derivative contracts:    
Derivative contracts   195
Equity Securities [Member]    
Securities owned    
Securities owned, at fair value 48,744 36,554
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 16,232 17,892
Money Market Funds [Member]    
Securities owned    
Securities owned, at fair value 794 200
Auction rate securities    
Securities owned    
Securities owned, at fair value 31,804 30,701
U.S. Treasury securities    
Securities owned    
Securities owned, at fair value 402,698 448,312
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 43,972 93,261
US Government Agencies Debt Securities [Member]    
Securities owned    
Securities owned, at fair value 7,849 24,616
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 4 9
Sovereign obligations    
Securities owned    
Securities owned, at fair value 3,657 367
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value   623
Corporate debt and other obligations    
Securities owned    
Securities owned, at fair value 17,983 23,977
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 10,286 5,283
Mortgage and other asset-backed securities    
Securities owned    
Securities owned, at fair value 2,609 3,103
Municipal obligations    
Securities owned    
Securities owned, at fair value 28,393 25,190
Convertible bonds    
Securities owned    
Securities owned, at fair value 17,152 17,497
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 13,647  
Mortgage Backed Securities, Other    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 4  
Level 1    
ASSETS    
Deposits with clearing organizations 27,899 23,991
Securities owned    
Securities owned, at fair value 452,236 485,066
Derivative contracts    
Derivative contracts, total 0  
Total 480,135 509,057
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 60,204 111,153
Derivative contracts:    
Derivative contracts 11 22
Total 60,215 111,175
Level 1 | Corporate equities    
Securities owned    
Securities owned, at fair value 48,744 36,554
Level 1 | Money markets    
Securities owned    
Securities owned, at fair value 794 200
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 402,698 448,312
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 43,972 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 16,232 17,892
Level 2    
Securities owned    
Securities owned, at fair value 77,643 94,750
Investments 4,771 4,181
Derivative contracts    
Derivative contracts, total 526  
Total 82,940 98,946
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 23,941 15,018
Derivative contracts:    
Derivative contracts 520 3
Total 24,461 15,021
Level 2 | Auction Rate Securities Purchase Commitment    
Derivative contracts:    
Derivative contracts   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 7,849 24,616
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 4 9
Level 2 | Sovereign obligations    
Securities owned    
Securities owned, at fair value 3,657 367
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value   623
Level 2 | Corporate debt and other obligations    
Securities owned    
Securities owned, at fair value 17,983 23,977
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 10,286 5,283
Level 2 | Mortgage and other asset-backed securities    
Securities owned    
Securities owned, at fair value 2,609 3,103
Level 2 | Municipal obligations    
Securities owned    
Securities owned, at fair value 28,393 25,190
Level 2 | Convertible bonds    
Securities owned    
Securities owned, at fair value 17,152 17,497
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 13,647  
Level 2 | Mortgage Backed Securities, Other    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 4  
Level 3    
Securities owned    
Securities owned, at fair value 31,804 30,701
Investments 0  
Derivative contracts    
Total 31,804 30,701
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0  
Derivative contracts:    
Derivative contracts 0 195
Total 0 195
Level 3 | Auction Rate Securities Purchase Commitment    
Derivative contracts:    
Derivative contracts   195
Level 3 | Auction rate securities    
Securities owned    
Securities owned, at fair value 31,804 30,701
Level 3 | Municipal obligations    
Securities owned    
Securities owned, at fair value   0
TBAs    
Derivative contracts    
Derivative contracts, total 526 15
Derivative contracts:    
Derivative contracts 520 3
TBAs | Level 2    
Derivative contracts    
Derivative contracts, total 526 15
Derivative contracts:    
Derivative contracts 520 3
Future [Member]    
Derivative contracts:    
Derivative contracts 11 22
Future [Member] | Level 1    
Derivative contracts:    
Derivative contracts $ 11 $ 22