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P = current price of the stock 91.51 X = strike price 96.51 r(RF) = known risk-free rate 1.00% t = time to maturity 0.5
P = | current price of the stock | 91.51 | ||||
X = | strike price | 96.51 | ||||
r(RF) = | known risk-free rate | 1.00% | ||||
t = | time to maturity | 0.5 yr. | ||||
= | std deviation of stock price | 0.49 | ||||
a. Use the Black-Scholes Model to calculate the price for this call option.
b. Recalculate the option price based on each of the following new parameters (for a total of 3 new prices): 1) Add $5 to X; 2) increase r(RF) to 5%; 3) Add 0.25 to the standard deviation. Which of the 3 changes had the largest effect on the option price? Briefly explain why this might be the case.
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