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Fair value measurements - Changes in Level 3 Assets and Liabilities Measured at Fair Value on Recurring Basis (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Assets    
Fair Value, Asset, Recurring Basis, Unobservable Input Reconciliation, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]   Principal transactions, net
ARS purchase commitments    
Liabilities    
Beginning Balance $ 0 $ 195
Total Realized and Unrealized Losses 0 (1)
Purchases and Issuances 0 0
Sales and Settlements 0 (196)
Transfers In / (Out) 0 0
Ending Balance 0 0
Auction rate securities    
Assets    
Beginning Balance 31,804 30,701
Total Realized and Unrealized Losses (28) (197)
Purchases and Issuances 1,375 1,350
Sales and Settlements (1,375) (50)
Transfers In / (Out) 0 0
Ending Balance $ 31,776 $ 31,804