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Incentive Plans (Tables)
12 Months Ended
Dec. 31, 2011
Share-Based Plans, Amounts Recognized

Amounts recognized in the financial statements with respect to share-based plans are as follows.

 

(Thousands of dollars)

   2011      2010      2009  

Compensation charged against income before income tax benefit

   $ 43,272         41,992         28,618   

Related income tax benefit recognized in income

     13,053         12,169         7,860
Fair Value of Option Award Estimated on Date of Grant using Black-Scholes Pricing Model

The fair value of each option award is estimated on the date of grant using the Black-Scholes pricing model using the assumptions noted in the following table. Expected volatility is based on historical volatility of the Company’s stock and implied volatility on publicly traded at-the-money options on the Company’s stock. The Company estimates the expected term of the options granted based on historical option exercise patterns and considers certain groups of employees exhibiting different behavior. The risk-free rate for periods within the expected term of the option is based on the U.S. Treasury yield curve in effect at the time of grant.

 

     2011     2010     2009  

Fair value per option grant

   $ 20.34        18.75      $ 15.15   

Assumptions

      

Dividend yield

     1.80     1.80     1.40

Expected volatility

     37.00     43.00     41.00

Risk-free interest rate

     2.10     2.52     1.95

Expected life

     5.10 yrs.        5.25 yrs.        5.25 yrs.
Changes in Options Outstanding

Changes in options outstanding during the last three years are presented in the following table.

 

     Number of
Shares
    Average
Exercise
Price
 

Outstanding at December 31, 2008

     5,399,060      $ 40.90   

Granted at FMV

     1,057,000        43.95   

Exercised

     (560,500     19.58   

Forfeited

     (464,000     60.65   
  

 

 

   

Outstanding at December 31, 2009

     5,431,560        42.01   

Granted at FMV

     1,605,628        52.85   

Exercised

     (1,580,950     29.04   

Forfeited

     (153,854     53.33   
  

 

 

   

Outstanding at December 31, 2010

     5,302,384        48.83   

Granted at FMV

     1,397,312        67.64   

Exercised

     (974,500     39.30   

Forfeited

     (290,968     52.73   
  

 

 

   

Outstanding at December 31, 2011

     5,434,228        55.17   
  

 

 

   

Exercisable at December 31, 2009

     3,506,310      $ 34.86   

Exercisable at December 31, 2010

     2,499,610        45.07   

Exercisable at December 31, 2011

     2,319,735        51.14
Additional Information about Stock Options Outstanding

Additional information about stock options outstanding at December 31, 2011 is shown below.

 

     Options Outstanding      Options Exercisable  

Range of Exercise

Prices per Option

   No. of
Options
     Avg. Life
in Years
     Aggregate
Intrinsic

Value
     No. of
Options
     Avg. Life
in Years
     Aggregate
Intrinsic

Value
 

$19.43 to $23.58

     393,750         1.0       $ 13,571,000         393,750         1.0       $ 13,571,000   

$30.30 to $45.23

     953,610         3.6         11,466,000         541,235         3.2         6,604,000   

$51.07 to $57.32

     2,067,156         3.9         5,938,000         730,750         1.7         2,069,000   

$67.64 to $72.75

     2,019,712         5.1         0         654,000         3.1         0   
  

 

 

       

 

 

    

 

 

       

 

 

 
     5,434,228         4.1       $ 30,975,000         2,319,735         2.3       $ 22,244,000   
  

 

 

       

 

 

    

 

 

       

 

 

 
Changes in Performance-Based RSU Outstanding

Changes in performance-based RSU outstanding for each of the last three years are presented in the following table.

 

(Number of shares or share units)

   2011     2010     2009  

Balance at beginning of year

     1,023,492        872,027        806,822   

Granted

     521,423        449,100        375,050   

Awarded

     (309,656     (252,551     0   

Forfeited

     (60,767     (45,084     (309,845
  

 

 

   

 

 

   

 

 

 

Balance at end of year

     1,174,492        1,023,492        872,027   
  

 

 

   

 

 

   

 

 

 
Assumptions used in Valuation of Performance Awards Granted

The assumptions used in the valuation of the performance awards granted in 2011, 2010 and 2009 are presented in the following table.

 

     2011    2010    2009

Fair value per share at grant date

   $38.94 – $64.89    $42.38 – $50.95    $41.18 – $44.94

Assumptions

        

Expected volatility

   51.00%    51.00%    48.00%

Risk-free interest rate

   1.04%    1.41%    1.37%

Stock beta

   1.006    1.008    0.973

Expected life

   3.00 yrs.    3.00 yrs.    3.00 yrs.
Changes in Time-Lapse Restricted Stock and Restricted Stock Units Outstanding

Changes in time-lapse restricted stock and restricted stock units outstanding for each of the last three years are presented in the following table.

 

(Number of shares or share units)

   2011     2010     2009  

Balance at beginning of year

     166,173        164,695        132,819   

Granted

     32,711        43,370        50,290   

Expired

     (82,160     (29,475     (18,414

Forfeited

     0        (12,417     0   
  

 

 

   

 

 

   

 

 

 

Balance at end of year

     116,724        166,173        164,695