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STOCK OPTION AND RESTRICTED STOCK UNIT AWARDS (Tables)
12 Months Ended
Oct. 30, 2022
STOCK OPTION AND RESTRICTED STOCK UNIT AWARDS  
Share-based Compensation Expense, Recognized Tax Benefits, and Total Grant-date Fair Value

The total share-based compensation expense, recognized income tax benefits, and total grant-date fair values of stock options and

restricted stock units vested consisted of the following in millions of dollars:

2022

2021

2020

Share-based compensation expense

$

85

$

82

$

81

Income tax benefits

17

16

19

Stock options and restricted stock units vested

74

93

79

Assumptions Used for the Binomial Lattice Model to Determine Fair Value of Options

The assumptions used for the binomial lattice model to determine the fair value of options follow:

  

        2022        

  

        2021        

  

       2020       

 

Risk-free interest rate*

 

1.27%

 

.47%

 

1.67%

Expected dividends

1.2%

1.2%

1.8%

Volatility*

32.0%

31.0%

26.0%

Expected term (in years)*

 

5.1

 

5.5

 

5.7

*    Weighted-averages

Stock Option Activity

The activity for outstanding stock options at October 30, 2022, and changes during 2022 in millions of dollars and shares follow:

Remaining

 

Contractual

Aggregate

 

Exercise

Term

Intrinsic

 

Shares

  

Price*

  

(Years)

  

Value

 

Outstanding at beginning of year

 

2.5

$

127.82

Granted

 

.2

 

343.94

Exercised

 

(.6)

 

105.85

Forfeited

 

(.1)

 

290.65

Outstanding at end of year

 

2.0

 

153.11

 

4.81

 

$

497.2

Exercisable at end of year

 

1.6

 

119.16

 

3.79

 

436.9

*    Weighted-averages

Amounts Related to Stock Options

The amounts related to stock options were as follows in millions of dollars unless otherwise noted:

2022

2021

2020

Weighted-average grant date fair values (per share)

$

89.20

$

62.73

$

35.83

Intrinsic value of options exercised

$

169

$

318

$

398

Cash received from exercises

63

148

331

Tax benefit from exercises

39

71

93

Weighted-average Grant Date Fair Values

The weighted-average grant date fair values were as follows:

2022

2021

2020

Service-based

$

347.59

$

258.86

$

168.94

Performance/service-based

331.47

245.73

160.81

Restricted Stock Units Activity

The company’s restricted stock units at October 30, 2022 and changes during 2022 in thousands of shares follow:

Grant-Date

 

Shares

Fair Value*

 

Service-based

Nonvested at beginning of year

 

486

$

190.87

Granted

 

139

 

347.59

Vested

 

(208)

 

173.62

Forfeited

(13)

259.72

Nonvested at end of year

 

404

 

251.42

Performance/service based

Nonvested at beginning of year

 

197

$

171.82

Granted

 

37

 

331.47

Vested

 

(168)

 

139.37

Performance change

 

84

 

139.37

Forfeited

 

(7)

 

267.13

Nonvested at end of year

 

143

 

227.70

* Weighted-averages