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Fair value measurements - Additional Information (Narrative) (Details) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Securities owned, at fair value $ 662,677 $ 634,504 [1]
Valuation adjustment 5,200  
Investments $ 8,650 12,970
Forward or delayed delivery of the underlying instrument with settlement 180 days  
Level 2    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Securities owned, at fair value $ 82,609 51,414
Investments 8,650 12,970
Other Assets | Level 2    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Investments 5,800  
Auction rate securities    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Securities owned, at fair value $ 33,123 $ 31,804
[1] Certain prior period reported amounts were reclassified to conform to the current period presentation, See Note 2