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Mortgage Servicing Assets (Tables)
9 Months Ended
Sep. 30, 2020
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 September 30,Nine months ended September 30,
in millions2020201920202019
Balance at beginning of period$565 $509 $539 $502 
Servicing retained from loan sales30 30 107 71 
Purchases6 10 24 33 
Amortization(29)(29)(88)(86)
Temporary impairments(6)(2)(16)(2)
Balance at end of period$566 $518 $566 $518 
Fair value at end of period$685 $681 $685 $681 
Changes in the carrying amount of residential mortgage servicing assets are summarized as follows:
Three months ended September 30,Nine months ended September 30,
in millions2020201920202019
Balance at beginning of period$46 $39 $46 $37 
Servicing retained from loan sales12 25 
Purchases —  — 
Amortization(4)(3)(9)(5)
Temporary (impairments) recoveries(1) (9)— 
Balance at end of period$53 $41 $53 $41 
Fair value at end of period$54 $43 $54 $43 
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, 2020, and September 30, 2019, along with the valuation techniques, are shown in the following table: 
dollars in millionsSeptember 30, 2020September 30, 2019
Valuation Technique
Significant
Unobservable Input
Range
(Weighted Average)
Discounted cash flowExpected defaults1.00 - 2.00% (1.17%)1.00 - 2.00% (1.13%)
Residual cash flows discount rate7.72 - 10.66% (9.30%)7.00 - 11.50% (9.30%)
Escrow earn rate0.92 - 1.16% (1.05%)1.46 - 2.36% (2.02%)
Loan assumption rate0.00 - 1.78% (1.39%)0.01 - 3.37% (1.38%)
The range and weighted-average of the significant unobservable inputs used to fair value our mortgage servicing assets at September 30, 2020, and September 30, 2019, along with the valuation techniques, are shown in the following table:
September 30, 2020September 30, 2019
Valuation Technique
Significant
Unobservable Input
Range
(Weighted Average)
Discounted cash flowPrepayment speed12.35% - 53.36% (16.89%)12.06 - 62.96% (14.53%)
Discount rate7.51-8.80% (7.57%)7.50 - 10.00% (7.53%)
Servicing cost$62.00 - $5,125 ($81.67)$62 - $4,375 ($67.67)