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STOCK-BASED COMPENSATION
9 Months Ended
Sep. 30, 2019
Share-based Payment Arrangement, Noncash Expense [Abstract]  
STOCK-BASED COMPENSATION STOCK-BASED COMPENSATION
Presented below is a summary of the stock-based compensation cost and associated tax benefit included in the accompanying consolidated statements of operations:
 
Three Months Ended
September 30,
 
Nine Months Ended
September 30,
 
2019
 
2018
 
2019
 
2018
Stock-based compensation cost
$
33.3

 
$
30.5

 
$
103.2

 
$
100.0

Tax benefit
$
6.9

 
$
11.5

 
$
22.0

 
$
26.0


During the first nine months of 2019, the Company granted 0.2 million employee stock options, which had a weighted average grant date fair value of $43.10 per share based on the Black-Scholes option-pricing model. The Company also granted 0.8 million shares of restricted stock in the first nine months of 2019, which had a weighted average grant date fair value of $173.71 per share. Both the employee stock options and restricted stock generally vest ratably over four years. Additionally, the Company granted 0.1 million shares of performance-based awards whereby the number of shares that ultimately vest are based on the achievement of certain non-market based performance metrics of the Company over three years. The weighted average grant date fair value of these awards was $168.04 per share.
The following weighted average assumptions were used in determining the fair value for options granted in 2019:
Expected dividend yield
1.15
%
Expected stock volatility
23.61
%
Risk-free interest rate
2.59
%
Expected holding period
6.2 years


Unrecognized stock-based compensation expense at September 30, 2019 was $7.5 million and $175.9 million for stock options and unvested restricted stock, respectively, which is expected to be recognized over a weighted average period of 2.1 years and 2.5 years, respectively. Additionally, there was $29.6 million of unrecognized stock-based compensation expense relating to the aforementioned non-market based performance-based awards, which is expected to be recognized over a weighted average period of 1.9 years.
The following tables summarize information relating to stock option exercises and restricted stock vesting:
 
Nine Months Ended
September 30,
 
2019
 
2018
Exercise of stock options:
 
 
 
Proceeds from stock option exercises
$
28.9

 
$
36.2

Aggregate intrinsic value
$
99.2

 
$
94.9

Tax benefit realized upon exercise
$
24.3

 
$
23.2

Number of shares exercised
0.7

 
0.8

Vesting of restricted stock:
 
 
 
Fair value of shares vested
$
152.7

 
$
150.0

Tax benefit realized upon vesting
$
36.2

 
$
34.7

Number of shares vested
0.8

 
0.9

Vesting of performance-based restricted stock:
 
 
 
Fair value of shares vested
$
47.5

 
$
23.0

Tax benefit realized upon vesting
$
11.5

 
$
5.6

Number of shares vested
0.3

 
0.1