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Income taxes - Components of deferred tax assets and liabilities (Details) - USD ($) $ in Thousands | Sep. 30, 2021 | Dec. 31, 2020
--- | --- | ---
Deferred tax assets: |  |
Tax credits available for carryforward | $ 6,499 | $ 8,272
Net operating loss and other carryforward available | 788,329 | 823,197
Postretirement and pension benefits | 73,189 | 80,179
Deferred loan origination fees | 7,254 | 9,427
Allowance for credit losses | 286,613 | 411,616
Accelerated depreciation | 11,725 | 8,829
FDIC-assisted transaction | 152,665 | 152,665
Deferred Tax Assets Intercompany deferred gains | 1,458 | 1,728
Lease liability | 52,427 | 41,640
Difference in outside basis from pass-through entities | 56,358 | 61,222
Other temporary differences | 49,132 | 46,298
Total gross deferred tax assets | 1,485,649 | 1,645,073
Deferred tax liabilities: |  |
Indefinite-lived intangibles | 126,365 | 111,050
Unrealized net gain (loss) on trading and available-for-sale securities | 40,977 | 75,598
Right of use assets | 46,629 | 36,218
Other temporary differences | 54,130 | 51,416
Total gross deferred tax liabilities | 268,101 | 274,282
Valuation allowance | 541,364 | 520,096
Net deferred tax asset | 676,184 | 850,695
PR |  |
Deferred tax assets: |  |
Tax credits available for carryforward | 3,718 | 3,003
Net operating loss and other carryforward available | 106,024 | 124,355
Postretirement and pension benefits | 73,189 | 80,179
Deferred loan origination fees | 11,251 | 12,079
Allowance for credit losses | 254,120 | 373,010
Accelerated depreciation | 4,400 | 3,439
FDIC-assisted transaction | 152,665 | 152,665
Deferred Tax Assets Intercompany deferred gains | 1,458 | 1,728
Lease liability | 27,670 | 22,790
Difference in outside basis from pass-through entities | 56,358 | 61,222
Other temporary differences | 40,689 | 38,954
Total gross deferred tax assets | 731,542 | 873,424
Deferred tax liabilities: |  |
Indefinite-lived intangibles | 75,803 | 73,305
Unrealized net gain (loss) on trading and available-for-sale securities | 35,095 | 67,003
Right of use assets | 25,564 | 20,708
Other temporary differences | 52,623 | 50,247
Total gross deferred tax liabilities | 189,085 | 211,263
Valuation allowance | 124,351 | 112,871
Net deferred tax asset | 418,106 | 549,290
US |  |
Deferred tax assets: |  |
Tax credits available for carryforward | 2,781 | 5,269
Net operating loss and other carryforward available | 682,305 | 698,842
Postretirement and pension benefits | 0 | 0
Deferred loan origination fees | (3,997) | (2,652)
Allowance for credit losses | 32,493 | 38,606
Accelerated depreciation | 7,325 | 5,390
FDIC-assisted transaction | 0 | 0
Deferred Tax Assets Intercompany deferred gains | 0 | 0
Lease liability | 24,757 | 18,850
Difference in outside basis from pass-through entities | 0 | 0
Other temporary differences | 8,443 | 7,344
Total gross deferred tax assets | 754,107 | 771,649
Deferred tax liabilities: |  |
Indefinite-lived intangibles | 50,562 | 37,745
Unrealized net gain (loss) on trading and available-for-sale securities | 5,882 | 8,595
Right of use assets | 21,065 | 15,510
Other temporary differences | 1,507 | 1,169
Total gross deferred tax liabilities | 79,016 | 63,019
Valuation allowance | 417,013 | 407,225
Net deferred tax asset | $ 258,078 | $ 301,405

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