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Mortgage Servicing Assets (Tables) | 12 Months Ended
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Dec. 31, 2019
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:
Year ended December 31, in millions | 2019 | 2018
Balance at beginning of period | $ | 502 |  | $ | 412 |
Servicing retained from loan sales | 108 |  | 117 |
Purchases | 47 |  | 75 |
Amortization | (115 | ) | (102 | )
Temporary impairments | (3 | ) | — |
Balance at end of period | $ | 539 |  | $ | 502 |
Fair value at end of period | $ | 665 |  | $ | 757 |
Changes in the carrying amount of residential mortgage servicing assets are summarized as follows:
in millions | 2019 | 2018
Balance at beginning of period | $ | 37 |  | 31 |
Servicing retained from loan sales | 15 |  | $ | 10 |
Purchases | — |  | — |
Amortization | (6 | ) | (4 | )
Balance at end of period | $ | 46 |  | $ | 37 |
Fair value at end of period | $ | 50 |  | $ | 52 |
Schedule of Range and Weighted-Average of Significant Unobservable Inputs | The range and weighted-average of the significant unobservable inputs used to fair value our commercial mortgage servicing assets at December 31, 2019, and December 31, 2018, along with the valuation techniques, are shown in the following table:
dollars in millions |  | December 31, 2019 |  | December 31, 2018
Valuation Technique | Significant Unobservable Input | Range (Weighted-Average)
Discounted cash flow | Expected defaults | 1.00 - 2.00% (1.13%) |  | 1.00 - 2.00% (1.14%)
| Residual cash flows discount rate | 7.00 - 11.44% (9.32%) |  | 7.00 - 15.00% (9.18%)
| Escrow earn rate | 1.44 - 2.32% (2.03%) |  | 2.56 - 4.20% (3.35%)
| Loan assumption rate | 0.01 - 3.37% (1.37%) |  | 0.00 - 3.22% (1.35%)
The range and weighted-average of the significant unobservable inputs used to fair value our residential mortgage servicing assets at December 31, 2019, along with the valuation techniques, are shown in the following table:
|  | December 31, 2019 |  | December 31, 2018
Valuation Technique | Significant Unobservable Input | Range (Weighted-Average)
Discounted cash flow | Prepayment speed | 10.38 - 61.51% (12.95%) |  | 8.45 - 56.11% (9.08%)
| Discount rate | 7.50 - 8.50% (7.52%) |  | 7.50 - 10.00% (7.54%)
| Servicing cost | $62 - $4,375 ($68.73) |  | $62 - $5,125 ($68.25)

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- Definition Schedule of estimation of fair value of servicing rights using key economic assumptions. + References No definition available. + Details
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- Definition Tabular disclosure of activity in the balance of servicing assets subsequently measured at amortized cost. Includes, but is not limited to, beginning and ending balances, additions, disposals, and amortization. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 860 -SubTopic 50 -Section 50 -Paragraph 4 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=116651436&loc=d3e122739-111746 + Details
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- References No definition available. + Details
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