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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Carrying amount      
Financial Assets:      
Cash and due from banks $ 388,311,000 $ 394,035,000  
Money market investments 3,262,286,000 4,171,048,000  
Trading account debt securities, excluding derivatives 40,321,000 37,787,000  
Debt Securities Available for Sale, at Fair Value 17,648,473,000 13,300,184,000  
Debt securities held-to-maturity, at amortized cost 97,662,000 101,575,000  
Equity securities:      
FHLB Stock 43,787,000 51,628,000  
FRB stock 93,470,000 89,358,000  
Other investments 22,630,000 14,598,000  
Equity securities 159,887,000 155,584,000  
Loans held-for-sale 59,203,000 51,422,000  
Loans held in portfolio, net 26,929,165,000 25,938,541,000  
Mortgage servicing rights 150,906,000 169,777,000  
Derivatives 17,966,000 13,603,000  
Deposits      
Demand deposits 36,083,809,000 32,093,274,000  
Time deposits 7,674,797,000 7,616,765,000  
Total deposits 43,758,606,000 39,710,039,000  
Assets sold under agreements to repurchase 193,378,000 281,529,000  
Other short-term borrowings   42,000  
Notes payable:      
Advances with the FHLB 421,399,000 556,776,000  
Unsecured senior debt securities 295,307,000 294,039,000  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,902,000 384,875,000  
Capital lease obligations   20,412,000  
Notes Payable 1,101,608,000 1,256,102,000  
Derivatives 16,619,000 12,320,000  
Cash and due from banks 388,311,000 394,035,000  
Money market investments 3,262,286,000 4,171,048,000  
Trading account debt securities, excluding derivatives 40,321,000 37,787,000  
Debt Securities Available for Sale, at Fair Value 17,648,473,000 13,300,184,000  
Debt securities held-to-maturity, at amortized cost 97,662,000 101,575,000  
Equity securities 159,887,000 155,584,000  
Loans held in portfolio, net 26,929,165,000 25,938,541,000  
Mortgage servicing rights 150,906,000 169,777,000 $ 168,031,000
Time deposits 7,674,797,000 7,616,764,000  
Total deposits 43,758,606,000 39,710,039,000  
Assets sold under agreements to repurchase 193,378,000 281,529,000  
Other short-term borrowings 0 42,000  
Capital lease obligations 0 20,412,000  
Notes Payable 1,101,608,000 1,256,102,000  
Derivatives 16,619,000 12,320,000  
Fair Value      
Financial Assets:      
Cash and due from banks 388,311,000 394,035,000  
Money market investments 3,262,286,000 4,171,048,000  
Trading account debt securities, excluding derivatives 40,321,000 37,787,000  
Debt Securities Available for Sale, at Fair Value 17,648,473,000 13,300,184,000  
Debt securities held-to-maturity, at amortized cost 105,110,000 102,653,000  
Equity securities:      
FHLB Stock 43,787,000 51,628,000  
FRB stock 93,470,000 89,358,000  
Other investments 28,695,000 18,835,000  
Equity securities 165,952,000 159,821,000  
Loans held-for-sale 60,030,000 52,474,000  
Loans held in portfolio, net 25,051,400,000 23,143,027,000  
Mortgage servicing rights 150,906,000 169,777,000  
Derivatives 17,966,000 13,603,000  
Deposits      
Demand deposits 36,083,809,000 32,093,274,000  
Time deposits 7,598,732,000 7,392,698,000  
Total deposits 43,682,541,000 39,485,972,000  
Assets sold under agreements to repurchase 193,271,000 281,535,000  
Other short-term borrowings   42,000  
Notes payable:      
Advances with the FHLB 429,718,000 553,111,000  
Unsecured senior debt securities 323,415,000 302,664,000  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 395,216,000 381,079,000  
Capital lease obligations   20,412,000  
Notes Payable 1,148,349,000 1,257,266,000  
Derivatives 16,619,000 12,320,000  
Obligations of Puerto Rico, States and political subdivisions | Carrying amount      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 85,556,000 89,459,000  
Obligations of Puerto Rico, States and political subdivisions      
Financial Assets:      
Debt Securities Available for Sale, at Fair Value 6,975,000 6,742,000  
Debt securities held-to-maturity, at amortized cost 85,556,000 89,459,000  
Obligations of Puerto Rico, States and political subdivisions | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 93,002,000 90,534,000  
Collateralized Mortgage Obligations - Federal agencies | Carrying amount      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 45,000 55,000  
Collateralized Mortgage Obligations - Federal agencies      
Financial Assets:      
Debt Securities Available for Sale, at Fair Value 586,175,000 728,671,000  
Debt securities held-to-maturity, at amortized cost 45,000 55,000  
Collateralized Mortgage Obligations - Federal agencies | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 47,000 58,000  
Securities in wholly owned statutory business trusts | Carrying amount      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 11,561,000 11,561,000  
Securities in wholly owned statutory business trusts      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 11,561,000 11,561,000  
Securities in wholly owned statutory business trusts | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 11,561,000 11,561,000  
Other | Carrying amount      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 500,000 500,000  
Other      
Financial Assets:      
Debt Securities Available for Sale, at Fair Value 350,000 488,000  
Debt securities held-to-maturity, at amortized cost 500,000 500,000  
Other | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 500,000 500,000  
Level 1 | Fair Value      
Financial Assets:      
Cash and due from banks 388,311,000 394,035,000  
Money market investments 3,256,274,000 4,161,832,000  
Trading account debt securities, excluding derivatives 7,081,000 6,278,000  
Debt Securities Available for Sale, at Fair Value 3,841,715,000 2,719,740,000  
Debt securities held-to-maturity, at amortized cost 0 0  
Equity securities:      
FHLB Stock 0 0  
FRB stock 0 0  
Other investments 0 0  
Equity securities 0 0  
Loans held-for-sale 0 0  
Loans held in portfolio, net 0 0  
Mortgage servicing rights 0 0  
Derivatives 0 0  
Deposits      
Demand deposits 0 0  
Time deposits 0 0  
Total deposits 0 0  
Assets sold under agreements to repurchase 0 0  
Other short-term borrowings   0  
Notes payable:      
Advances with the FHLB 0 0  
Unsecured senior debt securities 0 0  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0  
Capital lease obligations   0  
Notes Payable 0 0  
Derivatives 0 0  
Level 1 | Obligations of Puerto Rico, States and political subdivisions | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 0 0  
Level 1 | Collateralized Mortgage Obligations - Federal agencies | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 0 0  
Level 1 | Securities in wholly owned statutory business trusts | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 0 0  
Level 1 | Other | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 0 0  
Level 2 | Fair Value      
Financial Assets:      
Cash and due from banks 0 0  
Money market investments 6,012,000 9,216,000  
Trading account debt securities, excluding derivatives 32,270,000 30,370,000  
Debt Securities Available for Sale, at Fair Value 13,805,576,000 10,579,211,000  
Debt securities held-to-maturity, at amortized cost 12,061,000 12,061,000  
Equity securities:      
FHLB Stock 43,787,000 51,628,000  
FRB stock 93,470,000 89,358,000  
Other investments 21,328,000 13,296,000  
Equity securities 158,585,000 154,282,000  
Loans held-for-sale 0 0  
Loans held in portfolio, net 0 0  
Mortgage servicing rights 0 0  
Derivatives 17,966,000 13,603,000  
Deposits      
Demand deposits 36,083,809,000 32,093,274,000  
Time deposits 7,598,732,000 7,392,698,000  
Total deposits 43,682,541,000 39,485,972,000  
Assets sold under agreements to repurchase 193,271,000 281,535,000  
Other short-term borrowings   42,000  
Notes payable:      
Advances with the FHLB 429,718,000 553,111,000  
Unsecured senior debt securities 323,415,000 302,664,000  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 395,216,000 381,079,000  
Capital lease obligations   0  
Notes Payable 1,148,349,000 1,236,854,000  
Derivatives 16,619,000 12,320,000  
Level 2 | Obligations of Puerto Rico, States and political subdivisions | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 0 0  
Level 2 | Collateralized Mortgage Obligations - Federal agencies | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 0 0  
Level 2 | Securities in wholly owned statutory business trusts | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 11,561,000 11,561,000  
Level 2 | Other | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 500,000 500,000  
Level 3 | Fair Value      
Financial Assets:      
Cash and due from banks 0 0  
Money market investments 0 0  
Trading account debt securities, excluding derivatives 970,000 1,139,000  
Debt Securities Available for Sale, at Fair Value 1,182,000 1,233,000  
Debt securities held-to-maturity, at amortized cost 93,049,000 90,592,000  
Equity securities:      
FHLB Stock 0 0  
FRB stock 0 0  
Other investments 7,367,000 5,539,000  
Equity securities 7,367,000 5,539,000  
Loans held-for-sale 60,030,000 52,474,000  
Loans held in portfolio, net 25,051,400,000 23,143,027,000  
Mortgage servicing rights 150,906,000 169,777,000  
Derivatives 0 0  
Deposits      
Demand deposits 0 0  
Time deposits 0 0  
Total deposits 0 0  
Assets sold under agreements to repurchase 0 0  
Other short-term borrowings   0  
Notes payable:      
Advances with the FHLB 0 0  
Unsecured senior debt securities 0 0  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0  
Capital lease obligations   20,412,000  
Notes Payable 0 20,412,000  
Derivatives 0 0  
Level 3 | Obligations of Puerto Rico, States and political subdivisions | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 93,002,000 90,534,000  
Level 3 | Collateralized Mortgage Obligations - Federal agencies | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 47,000 58,000  
Level 3 | Securities in wholly owned statutory business trusts | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost 0 0  
Level 3 | Other | Fair Value      
Financial Assets:      
Debt securities held-to-maturity, at amortized cost $ 0 $ 0