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Mortgage Servicing Assets (Tables)
3 Months Ended
Mar. 31, 2021
Servicing Asset [Abstract]  
Changes in Carrying Amount of Mortgage Servicing Assets
Changes in the carrying amount of commercial mortgage servicing assets are summarized as follows:
 Three months ended March 31,
in millions20212020
Balance at beginning of period$578 $539 
Servicing retained from loan sales29 24 
Purchases7 11 
Amortization(29)(29)
Temporary (impairments) recoveries3 (2)
Balance at end of period$588 $543 
Fair value at end of period$682 $655 
Changes in the carrying amount of residential mortgage servicing assets are summarized as follows:
Three months ended March 31,
in millions20212020
Balance at beginning of period$58 $46 
Servicing retained from loan sales11 
Purchases — 
Amortization(5)(2)
Temporary (impairments) recoveries8 (9)
Balance at end of period$72 $40 
Fair value at end of period$77 $41 
Schedule of Range and Weighted-Average of Significant Unobservable Inputs The range and weighted average of the significant unobservable inputs used to determine the fair value of our commercial mortgage servicing assets at March 31, 2021, and March 31, 2020, along with the valuation techniques, are shown in the following table: 
dollars in millionsMarch 31, 2021March 31, 2020
Valuation Technique
Significant
Unobservable Input
Range
Weighted Average
RangeWeighted Average
Discounted cash flowExpected defaults1.012.00 %1.18 %0.972.00 %1.14 %
Residual cash flows discount rate7.4210.59 %9.20 %7.0011.42 %9.24 %
Escrow earn rate0.941.22 %1.10 %1.201.92 %1.67 %
Loan assumption rate0.001.75 %1.44 %0.013.37 %1.32 %
The range and weighted-average of the significant unobservable inputs used to fair value our mortgage servicing assets at March 31, 2021, and March 31, 2020, along with the valuation techniques, are shown in the following table:
March 31, 2021March 31, 2020
Valuation Technique
Significant
Unobservable Input
RangeWeighted AverageRangeWeighted Average
Discounted cash flowPrepayment speed10.55 50.81 %12.82 %10.50 55.60 %17.16 %
Discount rate7.51 8.63 %7.55 %7.50 8.50 %7.52 %
Servicing cost$62.00437572.48$62.00 8,37568.14