PNC » Topics » Option Pricing Assumptions

This excerpt taken from the PNC 10-Q filed Nov 6, 2008.

Option Pricing Assumptions

For purposes of computing stock option expense, we estimated the fair value of stock options primarily by using the Black-Scholes option-pricing model. Option modeling requires the use of numerous assumptions, many of which are very subjective.

We used the following assumptions in the option-pricing models to determine 2008 and 2007 stock option expense:

   

The risk-free interest rate is based on the US Treasury yield curve,

   

The dividend yield represents average yields over the previous three-year period,

   

Volatility is measured using the fluctuation in month-end closing stock prices over a period which corresponds with the average expected option life, but in no case less than a five-year period, and

   

The expected life assumption represents the period of time that options granted are expected to be outstanding and is based on a weighted average of historical option activity.

 

Weighted average for the nine months ended

September 30

   2008     2007  

Risk-free interest rate

   3.1 %   4.8 %

Dividend yield

   3.3 %   3.4 %

Volatility

   18.5 %   19.0 %

Expected life

   5.7 yrs.     4.4 yrs.  

 

70


Table of Contents

The following table summarizes stock option information as of and for the nine months ended September 30, 2008:

 

     

Shares

(thousands)

    Weighted-
Average
Exercise
Price

Outstanding at December 31, 2007

   14,326     $ 62.15

Granted

   3,297       60.35

Issued for Sterling acquisition

   325       63.94

Exercised

   (3,025 )     55.08

Cancelled

   (214 )     56.10

Outstanding at Sept. 30, 2008

   14,709     $ 63.33

Exercisable at Sept. 30, 2008

   9,712     $ 62.99

The weighted-average grant-date fair value of options granted during the first nine months of 2008 and 2007 was $7.26 and $11.59 per option, respectively. To determine stock-based compensation expense under SFAS 123R, the grant-date fair value is applied to the options granted with a reduction made for estimated forfeitures.

During the first nine months of 2008 we issued approximately 2.9 million shares from treasury stock in connection with stock option exercise activity. As with past exercise activity, we currently intend to utilize treasury stock for future stock option exercises.

This excerpt taken from the PNC 10-Q filed Aug 8, 2008.

Option Pricing Assumptions

For purposes of computing stock option expense, we estimated the fair value of stock options using the Black-Scholes option-pricing model. The model requires the use of numerous assumptions, many of which are very subjective.

We used the following assumptions in the option-pricing model to determine 2008 and 2007 stock option expense:

 

   

The risk-free interest rate is based on the US Treasury yield curve,

   

The dividend yield represents average yields over the previous three-year period,

   

Volatility is measured using the fluctuation in month-end closing stock prices over a period which corresponds with the average expected option life, but in no case less than a five-year period, and

   

The expected life assumption represents the period of time that options granted are expected to be outstanding and is based on a weighted average of historical option activity.

 

Weighted average for the six months ended

June 30

   2008     2007  

Risk-free interest rate

   2.8 %   4.8 %

Dividend yield

   3.3 %   3.4 %

Volatility

   18.1 %   19.2 %

Expected life

   5.4 yrs.     4.4 yrs.  

The following table summarizes stock option information as of and for the six months ended June 30, 2008:

 

     

Shares

(thousands)

    Weighted-
Average
Exercise
Price

Outstanding at December 31, 2007

   14,326     $ 62.15

Granted

   2,011       57.82

Issued for Sterling acquisition

   325       63.94

Exercised

   (582 )     51.65

Cancelled

   (177 )     52.43

Outstanding at June 30, 2008

   15,903     $ 62.13

Exercisable at June 30, 2008

   12,079     $ 61.53

The weighted-average grant-date fair value of options granted during the first six months of 2008 and 2007 was $7.51 and $11.76 per option, respectively. To determine stock-based compensation expense under SFAS 123R, the grant-date fair value is applied to the options granted with a reduction made for estimated forfeitures.

During the first six months of 2008 we issued approximately 533,000 shares from treasury stock in connection with stock option exercise activity. As with past exercise activity, we currently intend to utilize treasury stock for future stock option exercises.

This excerpt taken from the PNC 10-Q filed May 12, 2008.

Option Pricing Assumptions

 

Weighted average for the three months ended

March 31

   2008     2007  

Risk-free interest rate

   2.8 %   4.9 %

Dividend yield

   3.3 %   3.4 %

Volatility

   18.2 %   19.4 %

Expected life

   5.5 yrs.     4.6 yrs.  

The following table summarizes PNC stock option information as of and for the three-month period ending March 31, 2008:

 

     

Shares

(thousands)

    Weighted-
Average
Exercise
Price

Outstanding at December 31, 2007

   14,326     $ 62.15

Granted

   1,897       57.28

Exercised

   (173 )     53.71

Cancelled

   (31 )     70.70

Outstanding at March 31, 2008

   16,019     $ 61.64

Exercisable at March 31, 2008

   12,017     $ 60.65

The weighted-average grant-date fair value of options granted during the first three months of 2008 and 2007 was $7.50 and $12.01 per option, respectively. To determine stock-based compensation expense under SFAS 123R, the grant-date fair value is applied to the options granted with a reduction made for estimated forfeitures. During the first three months of 2008 we issued approximately 147 thousand shares from treasury stock in connection with stock option exercise activity. As with past exercise activity, we intend to utilize treasury stock for future stock option exercises.

This excerpt taken from the PNC 10-K filed Feb 29, 2008.

Option Pricing Assumptions

 

Weighted-average for the year
ended December 31
   2007        2006      2005  

Risk-free interest rate

   4.8 %      4.5 %    3.8 %

Dividend yield

   3.4        3.7      3.8  

Volatility

   18.8        20.5      25.7  

Expected life

   4.3 yrs.        5.1 yrs.      4.8 yrs.  

INCENTIVE/PERFORMANCE UNIT SHARE AWARDS AND RESTRICTED STOCK/UNIT AWARDS

The fair value of nonvested incentive/performance unit share awards and restricted stock/unit awards is initially determined based on prices not less than the market value of our common stock price on the date of grant. Incentive/performance unit share awards are subsequently valued subject to the achievement of one or more financial and other performance goals over a three-year period. The Personnel and Compensation Committee of the Board of Directors approves the final award payout with respect to incentive/performance unit share awards. Restricted stock/unit awards have various vesting periods ranging from 24 months to 60 months. There are no financial or performance goals associated with any of our restricted stock/unit awards.

The weighted-average grant-date fair value of incentive/performance unit share awards and restricted stock/unit awards granted in 2007, 2006 and 2005 was $73.83, $67.36 and $53.81 per share, respectively. We recognize compensation expense for such awards ratably over the corresponding vesting and/or performance periods for each type of program. Total compensation expense recognized related to PNC incentive/performance unit share awards and restricted stock/unit awards during 2007 was approximately $42 million compared with $45 million in 2006 and $44 million in 2005.

 

A summary of nonvested incentive/performance unit shares and restricted stock award activity follows:

 

Shares in thousands   

Nonvested
Incentive/

Performance
Unit Shares

    Weighted-
Average
Grant
Date Fair
Value
  

Nonvested
Restricted

Stock/
Unit
Shares

    Weighted-
Average
Grant
Date Fair
Value

Dec. 31, 2006

   186     $ 64.15    2,425     $ 57.45

Granted

   138       69.08    617       69.86

Vested

          (1,082 )     59.54

Forfeited

   (8 )     64.31    (91 )     60.25

Dec. 31, 2007

   316     $ 66.31    1,869     $ 60.20

In the chart above, the weighted-average grant-date fair value of incentive/performance unit share awards and restricted stock/unit awards is measured by reducing the grant date price by the present value of dividends expected to be paid on the underlying shares and for estimated forfeitures on restricted stock/unit awards.

At December 31, 2007, there was $45 million of unrecognized deferred compensation expense related to nonvested share-based compensation arrangements granted under the Incentive Plans. This cost is expected to be recognized as expense over a period of no longer than five years. The total fair value of incentive/performance unit share and restricted stock /unit awards vested during 2007, 2006 and 2005 was approximately $79 million, $63 million and $3 million, respectively.

Additionally, in 2007 and 2006 we granted a performance unit incentive award in each year to a senior executive. The grant is share-denominated with an initial specified target number of 26,400 share units for 2007 and 30,000 share units for 2006. The potential award is dependent on the achievement of certain performance criteria over a three-year period ending December 31, 2008 for the 2006 grant and December 31, 2009 for the 2007 grant. Final awarded performance units will be paid only in cash. Total compensation expense recognized related to these incentive awards during 2007 and 2006 was approximately $1 million in each year.

This excerpt taken from the PNC 10-K filed Feb 4, 2008.

Option Pricing Assumptions

 

Weighted-average for the year

ended December 31

   2006        2005     2004  

Risk-free interest rate

   4.5 %      3.8 %   3.4 %

Dividend yield

   3.7        3.8     3.6  

Volatility

   20.5        25.7     28.9  

Expected life

   5.1  yrs.      4.8  yrs.   4.9  yrs.

 

This excerpt taken from the PNC 10-Q filed Nov 8, 2007.

Option Pricing Assumptions

 

Weighted average for the nine months ended
September 30
   2007     2006  

Risk-free interest rate

   4.8 %   4.4 %

Dividend yield

   3.4 %   3.7 %

Volatility

   19.0 %   20.6 %

Expected life

   4.4 yrs.     5.3 yrs.  

The following table summarizes PNC stock option information as of and for the nine month period ending September 30, 2007:

 

     

Shares

(thousands)

    Weighted-
Average
Exercise
Price

Outstanding at December 31, 2006

   14,950     $ 59.29

Granted

   2,075       73.02

Exercised

   (2,301 )     54.62

Forfeited

   (153 )     69.03

Outstanding at September 30, 2007

   14,571     $ 61.88

Exercisable at September 30, 2007

   10,558     $ 59.49

The weighted-average grant-date fair value of options granted during the first nine months of 2007 and 2006 was $10.51 and $10.02, respectively. During the first nine months of 2007 we issued approximately 1.9 million shares from treasury stock in connection with stock option exercise activity. As with past exercise activity, we intend to utilize treasury stock for future stock option exercises.

This excerpt taken from the PNC 10-Q filed Aug 8, 2007.

Option Pricing Assumptions

 

Weighted average for the six months ended June 30    2007     2006  

Risk-free interest rate

   4.8 %   4.4 %

Dividend yield

   3.4 %   3.7 %

Volatility

   19.2 %   20.6 %

Expected life

   4.4 yrs.     5.5 yrs.  

 

55


Table of Contents

The following table summarizes PNC stock option information as of and for the six month period ending June 30, 2007:

 

     

Shares

(thousands)

    Weighted-
Average
Exercise
Price

Outstanding at December 31, 2006

   14,950     $ 59.29

Granted

   1,951       73.16

Exercised

   (2,079 )     55.03

Forfeited

   (124 )     68.41

Outstanding at June 30, 2007

   14,698     $ 61.65

Exercisable at June 30, 2007

   10,627     $ 59.18

The weighted-average grant-date fair value of options granted during the first half of 2007 and 2006 was $10.65 and $10.01, respectively. During the first half of 2007 we issued approximately 1.7 million shares from treasury stock in connection with stock option exercise activity. As with past exercise activity, we intend to utilize treasury stock for future stock option exercises.

This excerpt taken from the PNC 10-Q filed May 9, 2007.

Option Pricing Assumptions

 

Weighted average for the three months ended

March 31

   2007     2006  

Risk-free interest rate

   4.9 %   4.4 %

Dividend yield

   3.4 %   3.7 %

Volatility

   19.4 %   20.6 %

Expected life

   4.6 yrs.     5.5 yrs.  

The following table summarizes PNC stock option information as of and for the three month period ending March 31, 2007:

 

     

Shares

(thousands)

    Weighted-
Average
Exercise
Price

Outstanding at December 31, 2006

   14,950     $59.29

Granted

   1,604     72.74

Exercised

   (1,155 )   54.85

Forfeited

   (25 )   70.84

Outstanding at March 31, 2007

   15,374     $61.00

Exercisable at March 31, 2007

   11,527     $58.91

The weighted-average grant-date fair value of options granted during the first quarter of 2007 was $10.76 per option, compared with $10.00 per option for options granted during the first quarter of 2006. During the first quarter of 2007 we issued approximately 1.1 million shares from treasury stock in connection with stock option exercise activity. As with past exercise activity, we intend to utilize treasury stock for future stock option exercises.

Wikinvest © 2006, 2007, 2008, 2009, 2010, 2011, 2012. Use of this site is subject to express Terms of Service, Privacy Policy, and Disclaimer. By continuing past this page, you agree to abide by these terms. Any information provided by Wikinvest, including but not limited to company data, competitors, business analysis, market share, sales revenues and other operating metrics, earnings call analysis, conference call transcripts, industry information, or price targets should not be construed as research, trading tips or recommendations, or investment advice and is provided with no warrants as to its accuracy. Stock market data, including US and International equity symbols, stock quotes, share prices, earnings ratios, and other fundamental data is provided by data partners. Stock market quotes delayed at least 15 minutes for NASDAQ, 20 mins for NYSE and AMEX. Market data by Xignite. See data providers for more details. Company names, products, services and branding cited herein may be trademarks or registered trademarks of their respective owners. The use of trademarks or service marks of another is not a representation that the other is affiliated with, sponsors, is sponsored by, endorses, or is endorsed by Wikinvest.
Powered by MediaWiki