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Mortgage servicing rights
 3 Months Ended
Mar. 31, 2020
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 three months ended March 31, 2020 and 2019:
 
 
Three Months Ended March 31,
 
 
 
2020

 
2019

Carrying value at beginning of period
 
$
75,521

 
$
88,829

Capitalization
 
7,796

 
8,720

Sales
 
—

 
(29,160
)
Change in fair value:
 
 
 
 
Due to pay-offs/pay-downs
 
(4,643
)
 
(1,795
)
Due to change in valuation inputs or assumptions
 
(16,093
)
 
(2,563
)
Carrying value at end of period
 
$
62,581

 
$
64,031



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 three months ended March 31, 2020 and 2019: 
 
 
Three Months Ended March 31,
 
 
 
2020

 
2019

Servicing income:
 
 
 
 
Servicing income
 
$
5,018

 
$
4,751

Change in fair value of mortgage servicing rights
 
(20,736
)
 
(4,358
)
Change in fair value of derivative hedging instruments
 
14,868

 
2,477

Servicing income
 
(850
)
 
2,870

Servicing expenses
 
1,401

 
1,744

Net servicing (loss) income(1)
 
$
(2,251
)
 
$
1,126


(1) - Excludes benefit of custodial service 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, 2020 and December 31, 2019 are as follows: 
 
 
March 31,

 
December 31,

 
 
2020


2019

Unpaid principal balance
 
$
7,048,917

 
$
6,734,496

Weighted-average prepayment speed (CPR)
 
16.32
%
 
10.05
%
Estimated impact on fair value of a 10% increase
 
$
(4,064
)
 
$
(2,839
)
Estimated impact on fair value of a 20% increase
 
$
(7,732
)
 
$
(5,474
)
Discount rate
 
8.21
%
 
9.68
%
Estimated impact on fair value of a 100 bp increase
 
$
(2,470
)
 
$
(3,086
)
Estimated impact on fair value of a 200 bp increase
 
$
(4,751
)
 
$
(5,932
)
Weighted-average coupon interest rate
 
4.13
%
 
4.20
%
Weighted-average servicing fee (basis points)
 
28

 
29

Weighted-average remaining maturity (in months)
 
333

 
335


The Company 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 11, "Derivatives" for additional information on these hedging instruments.
From time to time, the Company enters agreements to sell certain tranches of mortgage servicing rights. Upon consummation of the sale, the Company generally continues to subservice the underlying mortgage loans until they can be transferred to the purchaser. During the three months ended March 31, 2019 the Company sold $29,160 of mortgage servicing rights on $2,034,374, of serviced mortgage loans. There was not a significant gain or loss recognized in connection with the sale. During the three months ended March 31, 2020, there were no such transactions. As of March 31, 2020 and 2019, there were no loans being serviced that related to the bulk sale of mortgage servicing rights. As of March 31, 2020 and December 31, 2019, mortgage escrow deposits totaled to $110,150 and $92,610, respectively.