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Mortgage Servicing Assets (Tables)
9 Months Ended
Sep. 30, 2022
Servicing Asset [Abstract]  
Schedule of 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 September 30,Nine months ended September 30,
Dollars in millions2022202120222021
Balance at beginning of period$647 $600 $634 $578 
Servicing retained from loan sales26 31 78 88 
Purchases9 32 22 
Amortization(31)(30)(93)(89)
Temporary (impairments) recoveries —  10 
Balance at end of period$651 $609 $651 $609 
Fair value at end of period$942 $735 $942 $735 
Changes in the carrying amount of residential mortgage servicing assets are summarized as follows:
Three months ended September 30,Nine months ended September 30,
Dollars in millions2022202120222021
Balance at beginning of period$104 $77 $93 $58 
Servicing retained from loan sales4 21 32 
Purchases —  — 
Amortization(3)(4)(10)(14)
Temporary (impairments) recoveries 3 1 
Balance at end of period$105 $85 $105 $85 
Fair value at end of period$127 $89 $127 $89 
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 September 30, 2022, and September 30, 2021, along with the valuation techniques, are shown in the following table: 
Dollars in millionsSeptember 30, 2022September 30, 2021
Valuation Technique
Significant
Unobservable Input
Range
Weighted Average
RangeWeighted Average
Discounted cash flowExpected defaults0.98 %2.00 %1.08 %1.00 %2.00 %1.15 %
Residual cash flows discount rate8.43 %10.17 %9.52 %7.64 %10.49 %9.31 %
Escrow earn rate3.69 %3.97 %3.87 %1.04 %1.37 %1.04 %
Loan assumption rate %1.50 %1.19 %— %1.71 %1.40 %
The range and weighted-average of the significant unobservable inputs used to fair value our mortgage servicing assets at September 30, 2022, and September 30, 2021, along with the valuation techniques, are shown in the following table:
September 30, 2022September 30, 2021
Valuation Technique
Significant
Unobservable Input
RangeWeighted AverageRangeWeighted Average
Discounted cash flowPrepayment speed7.05 %44.74 %8.09 %8.03 %48.88 %11.67 %
Discount rate7.50 %8.53 %7.53 %7.50 %8.57 %7.54 %
Servicing cost$62.00 $4,375 $66.59 $62.00 $4,375 $68.15