| (11) | Goodwill and other intangible assets |
A reconciliation of the change in the carrying value of goodwill is as follows (in millions).
| December 31, | ||||||||
| 2013 | 2012 | |||||||
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Balance at beginning of year |
$ | 54,523 | $ | 53,213 | ||||
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Acquisitions of businesses |
2,732 | 1,442 | ||||||
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Other, including foreign currency translation |
(244 | ) | (132 | ) | ||||
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Balance at end of year |
$ | 57,011 | $ | 54,523 | ||||
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Intangible assets other than goodwill are included in other assets and are summarized as follows (in millions).
| December 31, 2013 | December 31, 2012 | |||||||||||||||
| Gross carrying amount |
Accumulated amortization |
Gross carrying amount |
Accumulated amortization |
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Insurance and other |
$ | 11,923 | $ | 3,723 | $ | 11,737 | $ | 2,994 | ||||||||
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Railroad, utilities and energy |
2,214 | 1,231 | 2,163 | 913 | ||||||||||||
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| $ | 14,137 | $ | 4,954 | $ | 13,900 | $ | 3,907 | |||||||||
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Trademarks and trade names |
$ | 2,750 | $ | 340 | $ | 2,819 | $ | 278 | ||||||||
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Patents and technology |
5,173 | 2,626 | 5,014 | 2,059 | ||||||||||||
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Customer relationships |
4,690 | 1,518 | 4,565 | 1,155 | ||||||||||||
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Other |
1,524 | 470 | 1,502 | 415 | ||||||||||||
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| $ | 14,137 | $ | 4,954 | $ | 13,900 | $ | 3,907 | |||||||||
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Amortization expense was $1,090 million in 2013, $1,008 million in 2012 and $809 million in 2011. Estimated amortization expense over the next five years is as follows (in millions): 2014 – $1,052; 2015 – $752; 2016 – $692; 2017 – $648 and 2018 – $635. Intangible assets with indefinite lives as of December 31, 2013 and 2012 were $2,221 million and $2,328 million, respectively.