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Stock compensation plans (Tables) | 12 Months Ended
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Dec. 31, 2014
Share-based Compensation [Abstract] |
Weighted-Average Assumptions used to Estimate Fair Value of Options Granted | The fair value of options granted in 2014, 2013 and 2012 was estimated at the date of grant using a multiple point Black-Scholes option pricing model. The following weighted-average assumptions were used:
| 2014 |  | 2013 |  | 2012
Risk-free interest rate | 1.45 | % |  | 0.75 | % |  | 0.81 | %
Expected life of option | 4.89 years |  |  | 4.87 years |  |  | 4.85 years |
Expected dividend yield | 1.34 | % |  | 1.73 | % |  | 2.28 | %
Expected volatility | 21.44 | % |  | 24.65 | % |  | 28.46 | %
Weighted-Average Assumptions used to Estimate Fair Value of Non-Vested Shares Granted | The following weighted-average assumptions were used:
| 2014 |  | 2013 |  | 2012
Risk-free interest rate | 0.65 | % |  | 0.36 | % |  | 0.37 | %
Expected dividend yield | 1.34 | % |  | 1.71 | % |  | 2.24 | %
Summary of Stock Option Activity | The following table summarizes the option activity during 2014:
| Shares Subject to Options |  | Weighted Average Exercise Price |  | Weighted Average Remaining Contractual Life In Years |  | Aggregate Intrinsic Value
|  |  |  |  |  |  | (Dollars in thousands)
Outstanding, beginning of the year | 1,279,480 |  |  | $ | 65.05 |  |  |  |  |
Granted | 343,580 |  |  | 101.45 |  |  |  |  |
Exercised | (362,719 | ) |  | 60.86 |  |  |  |  |
Forfeited or expired | (26,669 | ) |  | 87.37 |  |  |  |  |
Outstanding, end of the year | 1,233,672 |  |  | 75.93 |  |  | 7.3 |  | $ | 47,974 |
Exercisable, end of the year | 647,425 |  |  | $ | 64.82 |  |  | 6.1 |  | $ | 32,373 |
Summary of Non-Vested Restricted Stock Unit Activity | The Company recorded $4.6 million of expense related to the portion of the shares underlying options

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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of non-vested shares, including but not limited to; expected dividends and risk-free rates(s) + References No definition available. + Details
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- Definition Tabular disclosure of the changes in outstanding nonvested restricted stock units. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure of the number and weighted-average exercise prices (or conversion ratios) for share options (or share units) that were outstanding at the beginning and end of the year, vested and expected to vest, exercisable or convertible at the end of the year, and the number of share options or share units that were granted, exercised or converted, forfeited, and expired during the year. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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