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Equity Incentive Program
3 Months Ended
Mar. 31, 2017
Share-based Compensation [Abstract]  
Share-based Compensation
11. Equity Incentive Program

The Company typically grants equity awards annually at its regularly scheduled first quarter meeting of the Compensation Committee of the Board of Directors. During the first quarter of 2017, the Company issued stock-settled appreciation rights ("SARs") covering 1,028,116 shares, performance share awards of 57,958 and restricted stock units ("RSUs") of 170,310.

The Company uses the Black-Scholes option pricing model to determine the fair value of each SAR on the date of grant. Expected volatilities are based on Dover's stock price history, including implied volatilities from traded options on Dover stock. The Company uses historical data to estimate SAR exercise and employee termination patterns within the valuation model. The expected life of SARs granted is derived from the output of the option valuation model and represents the average period of time that SARs granted are expected to be outstanding. The interest rate for periods within the contractual life of the SARs is based on the U.S. Treasury yield curve in effect at the time of grant.

The assumptions used in determining the fair value of the SARs awarded during the respective periods were as follows:
 
SARs
 
2017
 
2016
Risk-free interest rate
1.80
%
 
1.05
%
Dividend yield
2.27
%
 
3.09
%
Expected life (years)
4.6

 
4.6

Volatility
21.90
%
 
26.17
%
 
 
 
 
Grant price
$
79.28

 
$
57.25

Fair value per share at date of grant
$
12.63

 
$
9.25



The performance share awards granted in 2017 and 2016 are considered performance condition awards as attainment is based on Dover's performance relative to established internal metrics. The fair value of these awards was determined using Dover's closing stock price on the date of grant. The expected attainment of the internal metrics for these awards is analyzed each reporting period, and the related expense is adjusted based on expected attainment, if that attainment differs from previous estimates. The cumulative effect on current and prior periods of a change in attainment is recognized in selling, general and administrative expenses in the unaudited Condensed Consolidated Statements of Earnings in the period of change.  

The fair value and average attainment used in determining stock-based compensation cost for the performance shares issued in 2017 and 2016 is as follows for the three months ended March 31, 2017:
 
Performance shares
 
2017
 
2016
Fair value per share at date of grant
$
79.28

 
$
57.25

Average attainment rate reflected in expense
169.95
%
 
39.91
%

The Company also has granted RSUs, and the fair value of these awards was determined using Dover's closing stock price on the date of grant.

Stock-based compensation is reported within selling, general and administrative expenses in the accompanying unaudited Condensed Consolidated Statements of Earnings. The following table summarizes the Company’s compensation expense relating to all stock-based incentive plans:
 
Three Months Ended March 31,
 
2017
 
2016
Pre-tax stock-based compensation expense
$
12,805

 
$
11,387

Tax benefit
(4,554
)
 
(4,050
)
Total stock-based compensation expense, net of tax
$
8,251

 
$
7,337



On January 1, 2017, the Company adopted ASU 2016-09, Compensation: Stock Compensation (Topic 718). See Note 18 — Recent Accounting Pronouncements for further details.