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Stock compensation plans (Tables) | 12 Months Ended
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Dec. 31, 2018 | Dec. 31, 2017
Share-based Compensation [Abstract] |  |
Weighted-Average Assumptions used to Estimate Fair Value of Options Granted |  | The fair value of options granted in 2018, 2017 and 2016 was estimated at the date of grant using a Black-Scholes option pricing model. The following weighted-average assumptions were used:
| 2018 |  | 2017 |  | 2016
Risk-free interest rate | 2.67 | % |  | 1.88 | % |  | 1.30 | %
Expected life of option | 4.98 years |  |  | 4.94 years |  |  | 4.91 years |
Expected dividend yield | 0.54 | % |  | 0.71 | % |  | 0.94 | %
Expected volatility | 22.65 | % |  | 21.74 | % |  | 21.64 | %
Weighted-Average Assumptions used to Estimate Fair Value of Non-Vested Shares Granted | The following weighted-average assumptions were used:
| 2018 |  | 2017 |  | 2016
Risk-free interest rate | 2.41 | % |  | 1.47 | % |  | 0.94 | %
Expected dividend yield | 0.53 | % |  | 0.71 | % |  | 0.93 | %
Summary of Stock Option Activity | The following table summarizes the option activity during 2018:
| 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 | 1,708,928 |  |  | $ | 113.49 |  |  | — |  |  | — |
Granted | 155,498 |  |  | 254.60 |  |  | — |  |  | — |
Exercised | (383,198 | ) |  | 80.51 |  |  | — |  |  | — |
Forfeited or expired | (9,779 | ) |  | 170.78 |  |  | — |  |  | — |
Outstanding, end of the year | 1,471,449 |  |  | 136.62 |  |  | 5.7 |  |  | 179,396 |
Exercisable, end of the year | 1,073,198 |  |  | $ | 112.13 |  |  | 5.0 |  |  | 157,070 |
Summary of Non-Vested Restricted Stock Unit Activity | The following table summarizes the non-vested restricted stock unit activity during 2018:
| Number of Non-Vested Shares |  | Weighted Average Grant-Date Fair Value |  | Weighted Average Remaining Contractual Life |  | Aggregate Intrinsic Value
|  |  |  |  | (In years) |  | (Dollars in thousands)
Outstanding, beginning of the year | 233,742 |  |  | $ | 148.79 |  |  |  |  |
Granted | 62,221 |  |  | 250.66 |  |  |  |  |
Vested | (83,396 | ) |  | 125.70 |  |  |  |  |
Forfeited | (10,755 | ) |  | 179.08 |  |  |  |  |
Outstanding, end of the year | 201,812 |  |  | 188.10 |  |  | 1.1 |  | $ | 52,164 |

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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://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -URI http://asc.fasb.org/extlink&oid=109197908&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://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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