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Mortgage Servicing Rights
 3 Months Ended
Mar. 31, 2022
Transfers and Servicing of Financial Assets [Abstract]  
Mortgage Servicing Rights Mortgage servicing rights:
Changes in the Company’s mortgage servicing rights were as follows for the three months ended March 31, 2022 and 2021:
 Three Months Ended March 31,
 2022 2021 
Carrying value at beginning of period$115,512 $79,997 
Capitalization9,812 11,594 
Change in fair value:
    Due to pay-offs/pay-downs(4,471)(9,321)
    Due to change in valuation inputs or assumptions23,822 21,922 
        Carrying value at end of period$144,675 $104,192 
The following table summarizes servicing income and expense, which are included in 'Mortgage banking income' and 'Other noninterest expense', respectively, within the Mortgage segment operating results for the three months ended March 31, 2022 and 2021: 
 Three Months Ended March 31,
 2022 2021 
Servicing income:
   Servicing income$7,429 $6,931 
   Change in fair value of mortgage servicing rights19,351 12,601 
   Change in fair value of derivative hedging instruments(19,098)(17,864)
Servicing income
7,682 1,668 
Servicing expenses2,548 2,532 
          Net servicing income (loss)(1)
$5,134 $(864)
(1) Excludes benefit of custodial servicing related noninterest-bearing deposits held by the Bank.
Data and key economic assumptions related to the Company’s mortgage servicing rights as of March 31, 2022 and December 31, 2021 are as follows: 
 March 31,December 31,
 20222021
Unpaid principal balance$11,150,118 $10,759,286 
Weighted-average prepayment speed (CPR)6.41 %9.31 %
Estimated impact on fair value of a 10% increase$(5,077)$(4,905)
Estimated impact on fair value of a 20% increase$(9,734)$(9,429)
Discount rate8.68 %9.81 %
Estimated impact on fair value of a 100 bp increase$(6,456)$(4,785)
Estimated impact on fair value of a 200 bp increase$(12,378)$(9,198)
Weighted-average coupon interest rate3.20 %3.23 %
Weighted-average servicing fee (basis points)2727
Weighted-average remaining maturity (in months)330330
The Company economically hedges the mortgage servicing rights portfolio with various derivative instruments to offset changes in the fair value of the related mortgage servicing rights. See Note 9, "Derivatives" for additional information on these hedging instruments.
As of March 31, 2022 and December 31, 2021, mortgage escrow deposits totaled to $131,147 and $127,617, respectively.