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Stock-based Compensation and Other Stock Plans (Tables)
9 Months Ended
Sep. 30, 2017
Summary of Weighted-Average Assumptions of Fair Value Granted Using Black-Scholes Valuation Model

The following weighted-average assumptions were used in calculating the fair value of stock options granted during the nine months ended September 30, 2017, and October 1, 2016, using the Black-Scholes valuation model; there were no stock options granted during the three months ended September 30, 2017, or October 1, 2016:    

 

     Nine Months Ended
     September 30,
2017
   October 1,
2016

Expected term of option (in years)

     5.15         5.05   

Expected volatility factor

   22.01%    22.17%

Expected dividend yield

     1.63%      1.77%

Risk-free interest rate

             1.78%                      1.04%        
Summary of Stock Option Activity

A summary of stock option activity as of and for the nine months ended September 30, 2017, is presented below:

 

     Shares
(in thousands)
     Exercise
Price Per
Share*
     Remaining
Contractual
Term*

(in years)
     Aggregate
Intrinsic
Value

(in millions)
 

Outstanding at December 31, 2016

     3,011                 $ 100.78            

Granted

             655                   168.71            

Exercised

     (278)              87.00            

Forfeited or expired

     (71)              153.52            
  

 

 

          

Outstanding at September 30, 2017

     3,317               114.22                6.6              $     127.7      
  

 

 

          

Exercisable at September 30, 2017

     2,108               90.90                5.3            122.5      

 

* Weighted-average

Nonvested Performance Shares [Member]  
Summary of Changes in Non-Vested Performance Awards

Changes to the company’s non-vested performance awards during the nine months ended September 30, 2017, are as follows:

 

     Shares
(in thousands)
     Fair Value
Price per

Share*
 

Non-vested performance awards at December 31, 2016

                207                 $     141.94      

Granted

     77               168.70      

Vested

     (5)              142.78      

Cancellations and other

     (28)              154.46      
  

 

 

    

Non-vested performance awards at September 30, 2017

     251               148.64      
  

 

 

    

 

* Weighted-average

Stock-Settled SARs [Member]  
Summary of Weighted-Average Assumptions of Fair Value Granted Using Black-Scholes Valuation Model

The following weighted-average assumptions were used in calculating the fair value of stock-settled SARs granted during the nine months ended September 30, 2017, and October 1, 2016, using the Black-Scholes valuation model; there were no stock-settled SARs granted during the three months ended September 30, 2017, or October 1, 2016:

 

     Nine Months Ended
       September 30,  
2017
   October 1,
2016

Expected term of stock-settled SARs (in years)

     3.99         4.03   

Expected volatility factor

   19.39%    20.09%

Expected dividend yield

     1.46%      1.66%

Risk-free interest rate

           1.55%                      1.11%        
Summary of Changes in SARs

Changes to the company’s stock-settled SARs during the nine months ended September 30, 2017, are as follows:

 

     Stock-settled
SARs

(in thousands)
     Exercise
Price Per
Share*
     Remaining
Contractual
Term*

(in years)
     Aggregate
Intrinsic
Value

(in millions)
 

Outstanding at December 31, 2016

     303                 $ 125.38            

Granted

     100                   168.73            

Exercised

     (8)              106.07            

Forfeited or expired

     (22)              124.88            
  

 

 

          

Outstanding at September 30, 2017

     373               137.49                7.8              $     6.3      
  

 

 

          

Exercisable at September 30, 2017

     179               118.54                6.8                5.4      

 

* Weighted-average

Cash-Settled Stock Appreciation Rights [Member]  
Summary of Weighted-Average Assumptions of Fair Value Granted Using Black-Scholes Valuation Model

The following weighted-average assumptions were used in calculating the fair value of cash-settled SARs granted during the nine months ended September 30, 2017, and October 1, 2016, using the Black-Scholes valuation model; no cash-settled SARs were granted during the three months ended September 30, 2017, or October 1, 2016:

 

     Nine Months Ended
       September 30,  
2017
   October 1,
2016

Expected term of cash-settled SARs (in years)

     3.38         3.43   

Expected volatility factor

   19.58%    19.03%

Expected dividend yield

     1.57%      1.58%

Risk-free interest rate

             1.62%                      0.88%        
Summary of Changes in SARs

Changes to the company’s non-vested cash-settled SARs during the nine months ended September 30, 2017, are as follows:

 

     Cash-settled
SARs

(in thousands)
     Fair Value
Price per
Share*
 

Non-vested cash-settled SARs at December 31, 2016

                7                 $     40.83      

Granted

     1               13.52      

Vested

     (3)              26.11      
  

 

 

    

Non-vested cash-settled SARs at September 30, 2017

     5               18.78      
  

 

 

    

 

* Weighted-average