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Equity Incentive Program
6 Months Ended
Jun. 30, 2014
Equity Incentive Program [Abstract]  
Share-based Compensation
12. Equity Incentive Program

The Company typically grants equity awards annually at its regularly scheduled first quarter Compensation Committee meeting. In the first quarter of 2014, the Company issued stock-settled appreciation rights ("SARs") covering 1,043,734 shares, performance share awards of 58,206 and restricted stock units of 131,719.

In addition, in connection with the separation of Knowles on February 28, 2014, the Company modified the outstanding equity awards for its employees. The awards were modified such that all individuals received an equivalent fair value both before and after the separation of Knowles. This modification resulted in the issuance of an additional 933,845 SARs, 20,523 stock options, 11,480 performance shares and 5,389 restricted stock units. The exercise price of these outstanding awards, where applicable, was adjusted to preserve the value of the awards immediately prior to the separation. As no incremental fair value was awarded as a result of the issuance of these additional shares, the modification did not result in additional compensation expense.

The Company uses the Black-Scholes option pricing model to determine the fair value of each SAR on the date of grant. The assumptions used in determining the fair value of the SARs awarded during the respective periods are shown below. 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.
 
SARs
 
2014
 
2013
Risk-free interest rate
1.70
%
 
1.39
%
Dividend yield
1.98
%
 
2.06
%
Expected life (years)
5.3

 
7.1

Volatility
30.81
%
 
33.78
%
 
 
 
 
Grant price (1)
$
82.51

 
$
63.33

Fair value per share at date of grant (1)
$
19.84

 
$
18.17



(1)
Updated to reflect the modification of grants issued prior to 2014 in connection with the separation of Knowles on February 28, 2014.

The performance share awards granted in 2014 are considered performance condition awards as attainment is based on Dover's performance relative to established internal metrics. The fair value of these 58,206 awards was determined using Dover's closing stock price on the date of grant of $82.51. For the six months ended June 30, 2014, we have assumed an average attainment rate of the internal metrics of 97.6%. The expected attainment of the internal metrics for these awards will be analyzed each reporting period, and the related expense will be adjusted up or down based on expected attainment, if that attainment differs from previous estimates. The cumulative effect on current and prior periods of a change in attainment will be recognized in compensation cost in the period of change.
 
The performance share awards granted in 2013 are market condition awards as attainment is based on Dover's three-year performance relative to its peer group for the relevant performance period. These awards were valued on the date of grant using a Monte Carlo simulation model (a binomial lattice-based valuation model) with the following assumptions, and are generally recognized ratably over the vesting period:
 
Performance shares
 
2013
Risk-free interest rate
0.40
%
Dividend yield
2.06
%
Expected life (years)
2.9

Volatility
30.36
%
Fair value per share at date of grant (2)
$
70.92


(2)
Updated to reflect the modification of grants in connection with the separation of Knowles on February 28, 2014.

Stock-based compensation is reported within selling 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 June 30,
 
Six Months Ended June 30,
 
2014
 
2013
 
2014
 
2013
Pre-tax compensation expense
$
7,912

 
$
7,955

 
$
16,413

 
$
16,303

Tax benefit
(2,835
)
 
(2,773
)
 
(5,835
)
 
(5,748
)
Total stock-based compensation expense, net of tax
$
5,077

 
$
5,182

 
$
10,578

 
$
10,555