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Goodwill, Customer Relationships and Other Intangible Assets
12 Months Ended
Dec. 31, 2016
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill, Customer Relationships and Other Intangible Assets
Goodwill, Customer Relationships and Other Intangible Assets
Goodwill, customer relationships and other intangible assets consisted of the following:
 
As of December 31,
 
2016
 
2015
 
(Dollars in millions)
Goodwill
$
9,354

 
9,354

Customer relationships, less accumulated amortization of $3,822 and $3,264
$
1,877

 
2,435

Other intangible assets subject to amortization:
 
 
 
Capitalized software, less accumulated amortization of $1,510 and $1,383
$
471

 
613


As of December 31, 2016, the gross carrying amount of goodwill, customer relationships and other intangible assets was $17.034 billion.
Total amortization expense for intangible assets was as follows:
 
Years Ended December 31,
 
2016
 
2015
 
2014
 
(Dollars in millions)
Amortization expense for intangible assets
$
767

 
871

 
957


We estimate that total amortization expense for intangible assets for the years ending December 31, 2017 through 2021 will be as follows:
 
(Dollars in millions)
Year ending December 31,
 
2017
$
652

2018
584

2019
509

2020
440

2021
127


We annually review the estimated lives and methods used to amortize our other intangible assets. The actual amounts of amortization expense may differ materially from our estimates, depending on the results of our annual reviews.
Our goodwill was derived from CenturyLink's acquisition of us where the purchase price exceeded the fair value of the net assets acquired.
We assess our goodwill for impairment annually, or, under certain circumstances, more frequently, such as when events or changes in circumstances indicate there may be impairment. We are required to write down the value of goodwill only when our assessment determines the recorded amount of goodwill exceeds the fair value. Our annual impairment assessment date for goodwill is October 31, at which date we assessed goodwill at our reporting units. In reviewing the criteria for reporting units, we have determined that we are one reporting unit.
We compare our estimated fair value of equity to our carrying value of equity. If the estimated fair value of our equity is greater than the carrying value of our equity, we conclude that no impairment exists. If the estimated fair value of our equity is less than our carrying value of our equity, a second calculation is required in which the implied fair value of goodwill is compared to our carrying value of goodwill. If the implied fair value of goodwill is less than our carrying value of goodwill, goodwill must be written down to the implied fair value.
At October 31, 2016, we utilized a level 3 fair valuation technique to estimate the fair value of our equity by considering both a market approach and a discounted cash flow method. The market approach method includes the use of comparable multiples of publicly traded companies whose services are comparable to ours. The discounted cash flow method is based on the present value of projected cash flows and a terminal value, which represents the expected normalized cash flows of the reporting unit beyond the cash flows from the discrete projection period. We discounted the estimated cash flows using a rate that represents our estimated weighted average cost of capital, which we determined to be approximately 6.0% as of the assessment date (which was comprised of an after-tax cost of debt of 2.8% and a cost of equity of 6.2%). Based on our assessment performed with respect to our reporting unit as described above, we concluded that our goodwill was not impaired as of that date.