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Stock-Based Compensation Plans
12 Months Ended
Dec. 31, 2020
Stock-Based Compensation Plans [Abstract]  
Stock-Based Compensation Plans 4.    Stock-Based Compensation Plans

We have three stock incentive plans under which a total of 5.1 million shares were able to be issued to key employees and directors through a grant of stock options, stock awards and/or performance stock units (“PSUs”). The Compensation/Incentive Committee (“CIC”) of the Board of Directors administers these plans.

We grant stock options, stock awards and PSUs to our officers, other key employees and directors to better align their long-term interests with those of our shareholders. We grant stock options at an exercise price equal to the market price of our stock on the date of grant. Options vest ratably annually over a three year period. Those granted after 2014 have a contractual life of 5 years; those granted prior to 2014 have a contractual life of 10 years. Unrestricted stock awards generally are granted to our non-employee directors annually at the time of our annual meeting. PSUs are contingent upon achievement of multi-year earnings per share (“EPS”) targets or total shareholder return (“TSR”) targets. Upon achievement of targets, PSUs are converted to unrestricted shares of stock.

We recognize the cost of stock options, stock awards and PSUs on a straight-line basis over the service life of the award, generally the vesting period. We include the cost of all stock-based compensation in selling, general and administrative expense.

In May 2020, the CIC granted 2,511 unrestricted shares of stock to the Company’s outside directors.

PERFORMANCE AWARDS

The CIC determines a targeted number of PSUs to be granted to each participant. A participant can ultimately receive up to 200% of the targeted PSUs based upon exceeding the respective EPS and TSR target.

In February 2018, 2019 and 2020, the CIC granted PSUs contingent upon the achievement of certain TSR targets as compared to the TSR of a group of peer companies for the three year measurement period, at which date the awards may vest. We utilize a Monte Carlo simulation approach in a risk-neutral framework with inputs including historical volatility and the risk-free rate of interest to value these TSR awards. We amortize the total estimated cost over the service period of the award.

In February 2018, 2019 and 2020, the CIC granted PSUs contingent on the achievement of certain EPS targets over the three year measurement period. At the end of each reporting period, we estimate the number of shares of stock we believe will ultimately vest and record that expense over the service period of the award.


Comparative data for the PSUs include:

2020 Awards

2019 Awards

2018 Awards

TSR Awards

Shares of stock granted - target

5,156

7,029

7,523

Per-share fair value

$

643.44

$

434.51

$

341.20

Volatility

21.4

%

21.4

%

22.9

%

Risk-free interest rate

1.3

%

2.45

%

2.34

%

EPS Awards

Shares of stock granted - target

5,156

7,029

7,523

Per-share fair value

$

487.90

$

322.40

$

256.29

Common Assumptions

Service period (years)

2.9

2.9 

2.9 

Three-year measurement period ends December 31,

2022

2021

2020

The following table summarizes total stock option, stock award and PSU activity during 2020:

Stock Options

Stock Awards

Performance Units (PSUs)

Weighted

Weighted Average

Aggregate

Average

Weighted

Remaining

Intrinsic

Grant-Date

Number of

Average

Number of

Exercise

Contractual

Value

Number of

Per-Share

Target

Grant-Date

Options

Price

Life (Years)

(thousands)

Awards

Fair Value

Units

Price

Outstanding at January 1, 2020

1,205,948

$

252.77

-

$

-

42,978

$

288.78

Granted

298,670

471.74

2,511

466.43

22,378

365.12

Exercised/Vested

(419,145)

176.73

(2,511)

466.34

(26,454)

197.02

Canceled/ Forfeited

(15,402)

369.84

-

-

(706)

472.68

Outstanding at December 31, 2020

1,070,071

$

341.99

3.5

$

198,910

-

$

-

38,196

$

396.93

Vested and expected to vest

at December 31, 2020

1,070,071

$

341.99

3.5

$

198,910

-

*$

-

69,106

*$

386.33

Exercisable at December 31, 2020

510,938

246.03

2.7

144,003

n.a.

n.a.

n.a.

n.a.

* Amount includes 26,525 share units which vested and were converted to shares of stock and distributed in the first quarter of 2021.

We estimate the fair value of stock options using the Black-Scholes valuation model. We determine expected term, volatility, and dividend yield and forfeiture rate based on our historical experience. We believe that historical experience is the best indicator of these factors.

Comparative data for stock options, stock awards and PSUs include (in thousands, except per-share amounts):

Years Ended December 31,

2020

2019

2018

Total compensation expense of stock-based compensation

plans charged against income

$

26,802

$

21,338

$

19,229

Total income tax benefit recognized in income for stock

based compensation expense charged against income

6,904

5,373

4,788

Total intrinsic value of stock options exercised

125,448

106,793

102,144

Total intrinsic value of stock awards vested during the period

1,171

767

4,003

Per-share weighted average grant-date fair value of

stock awards granted

466.43

331.69

333.75


The assumptions we used to value stock option grants are as follows:

2020

2019

2018

Stock price on date of issuance

$

471.74

$

413.19

$

306.70

Grant date fair value per share

$

97.56

$

78.06

$

67.16

Number of options granted

298,670

287,010

246,350

Expected term (years)

3.5

4.0

4.0

Risk free rate of return

0.24

%

1.65

%

2.99

Volatility

28.41

%

21.25

%

22.42

Dividend yield

0.3

%

0.3

%

0.4

Forfeiture rate

-

-

-

Other data for stock options, stock awards and PSUs for 2020 include (dollar amounts in thousands):

Stock

Stock

Options

Awards

PSUs

Total unrecognized compensation at the end of the year

$

44,851

$

-

$

8,223

Weighted average period over which unrecognized compensation to be recognized (years)

2.3

-

1.7

Actual income tax benefit realized

$

29,543

$

276

$

3,123

Aggregate intrinsic value vested and expected to vest

$

198,910

$

-

$

36,479

EMPLOYEE STOCK PURCHASE PLAN (“ESPP”)

The ESPP allows eligible participants to purchase shares of stock through payroll deductions at current market value. We pay administrative and broker fees associated with the ESPP. Shares of stock purchased for the ESPP are purchased on the open market and credited directly to participants’ accounts. In accordance with the FASB’s guidance, the ESPP is non-compensatory.