Bristol-Myers Squibb  Fair Value Assumptions  Total compensation costs related to share-based payment awards not yet recognized and the weighted-average period over which such  awards are expected to be recognized at December 31, 2012 were as follows:  The following table summarizes significant ranges of outstanding and exercisable options at December 31, 2012 (amounts in millions,  except per share data):  The aggregate intrinsic value in the preceding table represents the total pre-tax intrinsic value, based on the closing stock price of  $32.59 on December 31, 2012.  The fair value of restricted stock units and long-term performance awards is determined based on the closing trading price of the  Company’s common stock on the grant date. Beginning in 2010, the fair value of performance share units granted was not discounted  because they participate in dividends. The fair value of performance share units granted prior to 2010 was discounted using the risk- free interest rate on the date of grant because they do not participate in dividends.  The fair value of the market share units was estimated on the date of grant using a model applying multiple input variables that  determine the probability of satisfying market conditions. The model uses the following input variables:  Expected volatility is based on the four year historical volatility levels on the Company’s common stock and the current implied  volatility. The four-year risk-free interest rate was derived from the Federal Reserve, based on the market share units’ contractual  term. Expected dividend yield is based on historical dividend payments.  64 Long-Term  Stock  Restricted  Market  Performance  Dollars in Millions Options  Stock Units Share Units  Awards  Unrecognized compensation cost $ 2 $  146 $  31 $ 32  Expected weighted-average period in years of compensation cost to be recognized  0.2  2.6 2.7  1.4  Amounts in Millions, except per share data  2012 2011 2010 Weighted-average grant date fair value (per share): Restricted stock units  32.71  26.04 24.80  Market share units  31.85  25.83 24.69  Long-term performance awards  32.33  25.30 23.65  Fair value of options or awards that vested during the year:  Stock options  $ 23  $  45 $ 73  Restricted stock units  74  75 79  Market share units  18  8  -  Long-term performance awards  56  21 56  Total intrinsic value of stock options exercised during the year  $ 153  $  154 $ 47  Additional information related to share-based compensation awards is summarized as follows:  Options Outstanding Options Exercisable Weighted-  Weighted-  Weighted-  Weighted-  Average  Average  Average  Average  Number Remaining   Exercise  Aggregate  Remaining   Exercise  Aggregate  Outstanding  Contractual Life  Price   Intrinsic  Number  Contractual Life  Price   Intrinsic  Range of Exercise Prices   (in thousands)  (in years)  Per Share  Value  Exercisable  (in years)  Per Share  Value  $1 - $20  10,344 6.16 $ 17.51 $ 156  7,184 6.16 $  17.49 $ 109  $20 - $30   31,606 3.00  25.06 238  31,585 3.00  25.07 238  $30 - $40   15 4.49  31.62  -  15 4.49  31.62  -   41,965 3.78 23.21 $ 394  38,784 3.58 23.67 $ 347  2012 2011 2010 Expected volatility 24.1 % 24.3 %  24.8 % Risk-free interest rate  0.6 1.8 1.9 Dividend yield  4.4 % 4.9 %  5.8 %