Use the Black-Scholes formula to find the value of a call option
based on the following inputs. (Round your final answer to
2 decimal places. Do not round intermediate
calculations.)
Stock price | $ | 12.00 | ||||
Exercise price | $ | 5.00 | ||||
Interest rate | 5.00 | % | ||||
Dividend yield | 4.00 | % | ||||
Time to expiration | 0.4167 | |||||
Standard deviation of stock’s returns | 31.00 | % | ||||
Call value $
Stock Price = S = $ 12, Exercise Price = X = $ 5, Initerest Rate = r = 5 %, Dividend yield = q = 4 %,Time to Expiration = t = 0.4167 and Standard Deviation of the Stock = = 31 %
The Black-Scholes Formula is as given below in the image:
d1 = [ln(12/5) + 0.4167 x {0.05 - 0.04 + (0.31)^(2)/2} ]/ 0.31 x (0.4167)^(0.5) = 4.49577
d2 = 4.49577 - 0.31 x (0.4167)^(0.5) = 4.29566
Call Option Value = C = [N(4.49577) x 12] / EXP(0.04 x 0.4167) - [N(4.29566) x 5] / EXP(0.05 x 0.4167) = [0.999997 x 12] / EXP(0.04 x 0,4167) - [0.999991 x 5[ / EXP(0.05 x 0,4167) = $ 6.905 or $ 6.91 approximately.
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