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STOCK OPTION AND RESTRICTED STOCK AWARDS (Tables)
12 Months Ended
Oct. 31, 2015
STOCK OPTION AND RESTRICTED STOCK AWARDS  
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:

 

 

 

 

 

 

 

 

 

 

  

2015

  

2014

  

2013

 

 

 

 

 

 

 

 

 

Risk-free interest rate

 

.04% - 2.3%

 

.03% - 2.9%

 

.04% - 1.7%

 

Expected dividends

 

2.5%

 

2.3%

 

2.3%

 

Expected volatility

 

23.4% - 25.7%

 

25.9% - 32.0%

 

26.6% - 32.5%

 

Weighted-average volatility

 

25.6%

 

31.9%

 

32.4%

 

Expected term (in years)

 

7.2 - 8.2

 

7.3 - 7.4

 

7.3 - 7.9

 

 

Stock Option Activity

 

Stock option activity at October 31, 2015 and changes during 2015 in millions of dollars and shares follow:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Remaining

 

 

 

 

 

 

 

 

 

 

 

Contractual

 

Aggregate

 

 

 

 

 

Exercise

 

Term

 

Intrinsic

 

 

 

Shares

  

Price*

  

(Years)

  

Value

 

 

 

 

 

 

 

 

 

 

 

 

 

Outstanding at beginning
of year

 

14.9

 

$

71.64 

 

 

 

 

 

 

Granted

 

3.0

 

 

88.19

 

 

 

 

 

 

Exercised

 

(2.9)

 

 

58.65

 

 

 

 

 

 

Expired or forfeited

 

(.2)

 

 

87.44

 

 

 

 

 

 

Outstanding at end of year

 

14.8

 

 

77.39

 

6.21

 

$

94.5

 

Exercisable at end of year

 

9.3

 

 

72.78

 

5.19

 

 

84.8

 

* Weighted-averages

Nonvested Restricted Share Activity

The company’s nonvested restricted shares at October 31, 2015 and changes during 2015 in millions of shares follow:

 

 

 

 

 

 

 

 

 

 

 

 

Grant-Date

 

 

 

Shares

 

Fair Value*

 

 

 

 

 

 

 

 

Service based only

 

 

 

 

 

 

Nonvested at beginning of year

 

.3

 

$

83.00 

 

Granted

 

.1

 

 

88.66 

 

Vested

 

(.1)

 

 

76.37 

 

Nonvested at end of year

 

.3

 

 

87.58 

 

Performance/service and
market/service based

 

 

 

 

 

 

Nonvested at beginning of year

 

.4

 

$

91.30 

 

Granted

 

.1

 

 

97.88 

 

Expired or forfeited

 

(.1)

 

 

93.31 

 

Nonvested at end of year

 

.4

 

 

96.87 

 

*  Weighted-averages