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STOCK-BASED COMPENSATION
9 Months Ended
Sep. 30, 2020
Share-based Payment Arrangement [Abstract]  
STOCK-BASED COMPENSATION STOCK-BASED COMPENSATION

Stock-based compensation expense related to awards issued under the Company's incentive compensation plans for the three and nine months ended September 30, 2020 and 2019 was as follows (in millions):
 
Three Months Ended   
September 30,
 
Nine Months Ended   
September 30,
 
2020
 
2019
 
2020
 
2019
Cost of sales
$
4.3

 
$
3.6

 
$
13.6

 
$
11.5

Selling, general, and administrative expenses
13.8

 
12.4

 
43.5

 
39.4

Research and development expenses
4.9

 
3.8

 
14.6

 
12.0

Total stock-based compensation expense
$
23.0

 
$
19.8

 
$
71.7

 
$
62.9



At September 30, 2020, the total remaining compensation cost related to nonvested stock options, restricted stock units, market-based restricted stock units, and employee stock purchase plan ("ESPP") subscription awards amounted to $160.1 million, which will be amortized on a straight-line basis over the weighted-average remaining requisite service period of 32 months.

During the nine months ended September 30, 2020, the Company granted 1.8 million stock options at a weighted-average exercise price of $72.84, and 0.7 million restricted stock units at a weighted-average grant-date fair value of $73.16. During the nine months ended September 30, 2020, the Company also granted 0.1 million market-based restricted stock units at a weighted-average grant-date fair value of $82.67 and issued an additional 0.1 million shares of common stock related to a previous year's grant of market-based restricted stock units since the payout percentage achieved at the end of the performance period was in excess of the targeted shares. The market-based restricted stock units vest based on a combination of certain service and market conditions. The actual number of shares issued will be determined based on the Company's total shareholder return relative to a selected industry peer group over a three-year performance period, and may range from 0% to 175% of the targeted number of shares granted.

Fair Value Disclosures

The fair value of the market-based restricted stock units was determined using a Monte Carlo simulation model, which uses multiple input variables to determine the probability of satisfying the market condition requirements. The weighted-average assumptions used to determine the fair value of the market-based restricted stock units granted during the nine months ended September 30, 2020 and 2019 included a risk-free interest rate of 0.2% and 2.2%, respectively, and an expected volatility rate of 32.7% and 29.4%, respectively.

The following table includes the weighted-average grant-date fair values of stock options granted during the periods indicated and the related weighted-average assumptions used in the Black-Scholes option pricing model:
 Option Awards
Three Months Ended   
September 30,
 
Nine Months Ended   
September 30,
 
2020
 
2019
 
2020
 
2019
Average risk-free interest rate
0.3
%
 
1.8
%
 
0.3
%
 
2.3
%
Expected dividend yield
None

 
None

 
None

 
None

Expected volatility
33.4
%
 
29.7
%
 
34.2
%
 
29.6
%
Expected term (years)
5.2

 
5.2

 
5.1

 
5.1

Fair value, per option
$
22.24

 
$
19.36

 
$
22.19

 
$
18.10


The following table includes the weighted-average grant-date fair values for ESPP subscriptions granted during the periods indicated and the related weighted-average assumptions used in the Black-Scholes option pricing model:
 ESPP
Three Months Ended   
September 30,
 
Nine Months Ended   
September 30,
 
2020
 
2019
 
2020
 
2019
Average risk-free interest rate
0.1
%
 
2.0
%
 
1.3
%
 
2.4
%
Expected dividend yield
None

 
None

 
None

 
None

Expected volatility
37.5
%
 
32.0
%
 
33.1
%
 
27.1
%
Expected term (years)
0.7

 
0.7

 
0.6

 
0.6

Fair value, per share
$
21.79

 
$
19.10

 
$
16.61

 
$
16.43