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An Analyst Wants to Use the Black-Scholes Model to Value \bullet

Question 22

Multiple Choice

An analyst wants to use the Black-Scholes model to value call options on the stock of Heath Corporation based on the following data:
\bullet The price of the stock is $40.
\bullet The strike price of the option is $40.
\bullet The option matures in 3 months (t = 0.25) .
\bullet The standard deviation of the stock's returns is 0.40, and the variance is 0.16.
\bullet The risk-free rate is 6%.
Given this information, the analyst then calculated the following necessary components of the Black-Scholes model:
\bullet D1 = 0.175
\bullet D2 = ?0.025
\bullet N(d1) = 0.56946
\bullet N(d2) = 0.49003
N(d1) and N(d2) represent areas under a standard normal distribution function.Using the Black-Scholes model, what is the value of the call option?


A) $2.81
B) $3.12
C) $3.47
D) $3.82
E) $4.20

Correct Answer:

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