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Stock-based Compensation and Other Stock Plans (Tables)
12 Months Ended
Dec. 31, 2016
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 2016, 2015 and 2014, using the Black-Scholes valuation model:

 

     2016      2015      2014  

Expected term of option (in years)

     5.05                 4.76                 4.52           

Expected volatility factor

         22.17%                 24.13%                 26.76%       

Expected dividend yield

     1.77%             2.04%             2.40%       

Risk-free interest rate

     1.04%             1.38%             1.30%       
Summary of Stock Option Activity

A summary of stock option activity during 2016 is presented below:

 

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

(in years)
     Aggregate
Intrinsic
Value

(in millions)
 

Outstanding at beginning of year

     2,811                     $   88.62                 

Granted

     644                     138.04                 

Exercised

     (416)                  74.10                 

Forfeited or expired

     (28)                  133.11                 
  

 

 

          

Outstanding at end of year

     3,011                   100.78                     6.6               $     212.3           
  

 

 

          

Exercisable at end of year

     1,776                   76.51                     5.3             168.3           

 

*

Weighted-average

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

Changes to the company’s non-vested performance awards in 2016 are as follows:

 

     Shares
(in thousands)
     Fair Value
Price per
Share*
 

Non-vested performance awards at beginning of year

     265               $   124.16       

Granted

     97             138.83       

Vested

         (136)            109.43       

Cancellations and other

     (19)            112.14       
  

 

 

    

Non-vested performance awards at end of year

     207             141.94       
  

 

 

    

 

*

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 2016, 2015 and 2014, using the Black-Scholes valuation model:

 

              2016               2015      2014  

Expected term of stock-settled SARs (in years)

     4.03                 4.72                 4.49           

Expected volatility factor

         20.09%                 23.66%                 25.64%       

Expected dividend yield

     1.66%             2.04%             2.40%       

Risk-free interest rate

     1.11%             1.50%             1.50%       
Summary of Changes in SARs

Changes to the company’s stock-settled SARs in 2016 are as follows:

 

     Stock-settled
SARs

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

(in years)
     Aggregate
Intrinsic
Value

(in millions)
 

Outstanding at beginning of year

     269                     $   113.70                 

Granted

     101                   138.05                 

Exercised

     (26)                  89.10                 

Forfeited or expired

     (41)                  103.29                 
  

 

 

          

Outstanding at end of year

     303                   125.38                     7.9               $   13.9           
  

 

 

          

Exercisable at end of year

     106                   106.50                     7.0             6.8           

 

*

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 2016, 2015 and 2014, using the Black-Scholes valuation model:

 

              2016             2015      2014  

Expected term of cash-settled SARs (in years)

     3.11                3.10                3.53          

Expected volatility factor

         19.53%                 18.14%                 23.92%       

Expected dividend yield

     1.56%             1.69%             2.11%       

Risk-free interest rate

     1.47%             1.31%             1.07%       

Summary of Changes in SARs

Changes to the company’s non-vested cash-settled SARs in 2016 are as follows:

 

    Cash-settled
SARs

     (in thousands)     
    Fair Value
 Price per 
Share*
 

Non-vested cash-settled SARs at beginning of year

    7                      $   51.71         

Granted

    4                    39.51         

Vested

    (4)                   61.42         
 

 

 

   

Non-vested cash-settled SARs at end of year

    7                    40.83         
 

 

 

   

 

*

Weighted-average