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Fair value measurements - Assets and Liabilities Measured at Fair Value on Recurring Basis (Details) - USD ($)
$ in Thousands
Jun. 30, 2023
Dec. 31, 2022
ASSETS    
Deposits with clearing organizations $ 27,675 $ 24,937
Securities owned:    
Securities owned, at fair value 924,183 498,594
Securities owned and sold, fair value 924,189 498,594
Investments 17,167 7,068
Derivative contracts    
Derivative contracts, total 4,734  
Total 973,765 532,361
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 71,101 52,768
Derivative contracts:    
Derivative contracts 7,753 1,805
Total 78,854 54,573
Sovereign obligations    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value   9,048
U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 719,574 362,815
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 41,737 25,006
U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 5,919 6,012
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 2 3
Sovereign obligations    
Securities owned:    
Securities owned, at fair value   9,502
Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 10,544 9,844
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 2,782 2,905
Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 3,867 1,882
Municipal obligations    
Securities owned:    
Securities owned, at fair value 91,648 30,126
Convertible bonds    
Securities owned:    
Securities owned, at fair value 28,581 21,800
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 9,857 4,428
Corporate equities    
Securities owned:    
Securities owned, at fair value 31,887 24,837
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 16,723 11,378
Money markets    
Securities owned:    
Securities owned, at fair value 487 0
Auction rate securities    
Securities owned:    
Securities owned, at fair value 31,682 31,776
TBAs    
Derivative contracts    
Derivative contracts, total 4,734 1,762
Derivative contracts:    
Derivative contracts 4,696 1,761
Futures    
Derivative contracts:    
Derivative contracts 3,057 44
Level 1    
ASSETS    
Deposits with clearing organizations 27,675 24,937
Securities owned:    
Securities owned and sold, fair value 751,461 387,652
Investments 5,454 0
Derivative contracts    
Derivative contracts, total 0  
Total 784,590 412,589
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 58,460 36,384
Derivative contracts:    
Derivative contracts 3,057 44
Total 61,517 36,428
Level 1 | Sovereign obligations    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value   0
Level 1 | U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 719,574 362,815
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 41,737 25,006
Level 1 | U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 1 | Sovereign obligations    
Securities owned:    
Securities owned, at fair value   0
Level 1 | Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 1 | Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 0 0
Level 1 | Municipal obligations    
Securities owned:    
Securities owned, at fair value 0 0
Level 1 | Convertible bonds    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 1 | Corporate equities    
Securities owned:    
Securities owned, at fair value 31,887 24,837
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 16,723 11,378
Level 1 | Money markets    
Securities owned:    
Securities owned, at fair value 0 0
Level 1 | Auction rate securities    
Securities owned:    
Securities owned, at fair value 0 0
Level 1 | TBAs    
Derivative contracts    
Derivative contracts, total 0 0
Derivative contracts:    
Derivative contracts 0 0
Level 1 | Futures    
Derivative contracts:    
Derivative contracts 3,057 44
Level 2    
ASSETS    
Deposits with clearing organizations 0 0
Securities owned:    
Securities owned and sold, fair value 141,046 79,166
Investments 11,713 7,068
Derivative contracts    
Derivative contracts, total 4,734  
Total 157,493 87,996
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 12,641 16,384
Derivative contracts:    
Derivative contracts 4,696 1,761
Total 17,337 18,145
Level 2 | Sovereign obligations    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value   9,048
Level 2 | U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 2 | U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 5,919 6,012
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 2 3
Level 2 | Sovereign obligations    
Securities owned:    
Securities owned, at fair value   9,502
Level 2 | Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 10,544 9,844
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 2,782 2,905
Level 2 | Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 3,867 1,882
Level 2 | Municipal obligations    
Securities owned:    
Securities owned, at fair value 91,648 30,126
Level 2 | Convertible bonds    
Securities owned:    
Securities owned, at fair value 28,581 21,800
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 9,857 4,428
Level 2 | Corporate equities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 2 | Money markets    
Securities owned:    
Securities owned, at fair value 487 0
Level 2 | Auction rate securities    
Securities owned:    
Securities owned, at fair value 0 0
Level 2 | TBAs    
Derivative contracts    
Derivative contracts, total 4,734 1,762
Derivative contracts:    
Derivative contracts 4,696 1,761
Level 2 | Futures    
Derivative contracts:    
Derivative contracts 0 0
Level 3    
ASSETS    
Deposits with clearing organizations 0 0
Securities owned:    
Securities owned and sold, fair value 31,682 31,776
Investments 0 0
Derivative contracts    
Derivative contracts, total 0  
Total 31,682 31,776
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Derivative contracts:    
Derivative contracts 0 0
Total 0 0
Level 3 | Sovereign obligations    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value   0
Level 3 | U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | Sovereign obligations    
Securities owned:    
Securities owned, at fair value   0
Level 3 | Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 0 0
Level 3 | Municipal obligations    
Securities owned:    
Securities owned, at fair value 0 0
Level 3 | Convertible bonds    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | Corporate equities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | Money markets    
Securities owned:    
Securities owned, at fair value 0 0
Level 3 | Auction rate securities    
Securities owned:    
Securities owned, at fair value 31,682 31,776
Level 3 | TBAs    
Derivative contracts    
Derivative contracts, total 0 0
Derivative contracts:    
Derivative contracts 0 0
Level 3 | Futures    
Derivative contracts:    
Derivative contracts $ 0 $ 0