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Summary of significant accounting policies (Tables) | 12 Months Ended
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Dec. 31, 2017
Summary of significant accounting policies [Abstract] |
Estimated useful lives of property, plant and equipment | Property, plant and equipment are stated at cost. Depreciation is computed using the straight-line method over the following estimated useful lives:
Buildings | 31-39 years
Building improvements | 10-39 years
Furniture and equipment | 3-15 years
Software | 3-7 years or product life
Leasehold improvements | Lesser of the asset life or lease term
Assumptions used in valuing stock options granted | The Company determines the fair value of restricted stock units using the closing market price of the Company's common stock on the day prior to the date of grant. The Company utilizes the Black-Scholes valuation model for estimating the fair value of all stock options granted. Set forth below are the assumptions used in valuing the stock options granted and a discussion of the Company's methodology for developing each of the assumptions used:
| Year Ended December 31,
|  | 2017 |  | 2016 |  | 2015
Expected dividend yield |  | 0% |  | 0% |  | 0%
Expected volatility |  | 37-40% |  | 31-33% |  | 34-35%
Risk-free interest rate |  | 1.66-1.88% |  | 0.93-1.22% |  | 1.27-1.61%
Expected average life of options |  | 4.3 years |  | 4.3 years |  | 4.3 years

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- Definition Tabular disclosure of the useful life and salvage value of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale. Examples include land, buildings, machinery and equipment, and other types of furniture and equipment including, but not limited to, office equipment, furniture and fixtures, and computer equipment and software. + References No definition available. + 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=96867065&loc=d3e5070-113901 + Details
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