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Intangible Assets and Goodwill (Tables)
12 Months Ended
Dec. 31, 2017
Goodwill and Intangible Assets Disclosure [Abstract]  
Carrying amount of intangible assets
The following table summarizes the carrying amount of intangible assets as of December 31, 2017 and 2016:
 
 
As of December 31,
 
2017
 
2016
 
(Dollars in millions)
Acquired contractual rights(1)
$
81.4

 
$
74.1

Acquired trademarks(1)
1.2

 
1.0

Accumulated amortization
(57.8
)
 
(43.2
)
Finite-lived intangible assets, net
24.8

 
31.9

Goodwill(1)
11.1

 
10.1

Intangible assets, net
$
35.9

 
$
42.0



(1) Changes in the carrying amounts of acquired contractual rights, acquired trademarks, and goodwill are due to foreign currency translation.

Summary of estimated amortization expense, excluding impairment losses
The following table summarizes the expected amortization expense for 2018 through 2022 and thereafter (Dollars in millions):
 
 
2018
$
9.8

2019
6.0

2020
6.0

2021
3.0

 
$
24.8