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Mortgage Servicing Assets (Tables)
3 Months Ended
Mar. 31, 2022
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,
Dollars in millions20222021
Balance at beginning of period$634 $578 
Servicing retained from loan sales30 29 
Purchases11 
Amortization(31)(29)
Temporary (impairments) recoveries 
Balance at end of period$644 $588 
Fair value at end of period$846 $682 
Changes in the carrying amount of residential mortgage servicing assets are summarized as follows:
Three months ended March 31,
Dollars in millions20222021
Balance at beginning of period$93 $58 
Servicing retained from loan sales11 11 
Purchases — 
Amortization(4)(5)
Temporary (impairments) recoveries1 8 
Balance at end of period$101 $72 
Fair value at end of period$116 $77 
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, 2022, and March 31, 2021, along with the valuation techniques, are shown in the following table: 
dollars in millionsMarch 31, 2022March 31, 2021
Valuation Technique
Significant
Unobservable Input
Range
Weighted Average
RangeWeighted Average
Discounted cash flowExpected defaults1.00 %2.00 %1.12 %1.01 %2.00 %1.18 %
Residual cash flows discount rate8.34 %10.32 %9.52 %7.42 %10.59 %9.20 %
Escrow earn rate2.06 %2.49 %2.31 %0.94 %1.22 %1.10 %
Loan assumption rate %1.64 %1.29 %— %1.75 %1.44 %
The range and weighted-average of the significant unobservable inputs used to fair value our mortgage servicing assets at March 31, 2022, and March 31, 2021, along with the valuation techniques, are shown in the following table:
March 31, 2022March 31, 2021
Valuation Technique
Significant
Unobservable Input
RangeWeighted AverageRangeWeighted Average
Discounted cash flowPrepayment speed5.84 %59.51 %8.82 %10.55 %50.81 %12.82 %
Discount rate7.50 %8.52 %7.53 %7.51 %8.63 %7.55 %
Servicing cost$62.00 $8,075 $67.46 $62.00 $4,375 $72.48