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Income taxes - Components of deferred tax assets and liabilities (Details) - USD ($)
$ in Thousands
Jun. 30, 2021
Dec. 31, 2020
Deferred tax assets:    
Tax credits available for carryforward $ 5,784 $ 8,272
Net operating loss and other carryforward available 822,222 823,197
Postretirement and pension benefits 75,555 80,179
Deferred loan origination fees 16,604 9,427
Allowance for credit losses 309,587 411,616
Accelerated depreciation 11,683 8,829
FDIC-assisted transaction 152,665 152,665
Deferred Tax Assets Intercompany deferred gains 1,782 1,728
Lease liability 46,596 41,640
Difference in outside basis from pass-through entities 61,140 61,222
Other temporary differences 48,136 46,298
Total gross deferred tax assets 1,551,754 1,645,073
Deferred tax liabilities:    
Indefinite-lived intangibles 124,903 111,050
Unrealized net gain (loss) on trading and available-for-sale securities 50,182 75,598
Right of use assets 40,780 36,218
Other temporary differences 53,392 51,416
Total gross deferred tax liabilities 269,257 274,282
Valuation allowance 537,733 520,096
Net deferred tax asset 744,764 850,695
PR    
Deferred tax assets:    
Tax credits available for carryforward 3,003 3,003
Net operating loss and other carryforward available 131,938 124,355
Postretirement and pension benefits 75,555 80,179
Deferred loan origination fees 20,174 12,079
Allowance for credit losses 270,124 373,010
Accelerated depreciation 4,400 3,439
FDIC-assisted transaction 152,665 152,665
Deferred Tax Assets Intercompany deferred gains 1,782 1,728
Lease liability 21,554 22,790
Difference in outside basis from pass-through entities 61,140 61,222
Other temporary differences 39,801 38,954
Total gross deferred tax assets 782,136 873,424
Deferred tax liabilities:    
Indefinite-lived intangibles 74,970 73,305
Unrealized net gain (loss) on trading and available-for-sale securities 43,406 67,003
Right of use assets 19,466 20,708
Other temporary differences 51,885 50,247
Total gross deferred tax liabilities 189,727 211,263
Valuation allowance 121,614 112,871
Net deferred tax asset 470,795 549,290
US    
Deferred tax assets:    
Tax credits available for carryforward 2,781 5,269
Net operating loss and other carryforward available 690,284 698,842
Postretirement and pension benefits 0 0
Deferred loan origination fees (3,570) (2,652)
Allowance for credit losses 39,463 38,606
Accelerated depreciation 7,283 5,390
FDIC-assisted transaction 0 0
Deferred Tax Assets Intercompany deferred gains 0 0
Lease liability 25,042 18,850
Difference in outside basis from pass-through entities 0 0
Other temporary differences 8,335 7,344
Total gross deferred tax assets 769,618 771,649
Deferred tax liabilities:    
Indefinite-lived intangibles 49,933 37,745
Unrealized net gain (loss) on trading and available-for-sale securities 6,776 8,595
Right of use assets 21,314 15,510
Other temporary differences 1,507 1,169
Total gross deferred tax liabilities 79,530 63,019
Valuation allowance 416,119 407,225
Net deferred tax asset $ 273,969 $ 301,405