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An analyst wants to use the Black-Scholes model to value call options on the stock of Heath Corporation based on the following data: The price
An analyst wants to use the Black-Scholes model to value call options on the stock of Heath Corporation based on the following data:
The price of the stock is $40. | |
The strike price of the option is $40. | |
The option matures in 3 months (t = 0.25). | |
The standard deviation of the stock's returns is 0.50, and the variance is 0.25. | |
The risk-free rate is 6%. |
Given this information, the analyst then calculated the following necessary components of the Black-Scholes model:
d1 = 0.1850 | |
d2 = -0.0650 | |
N(d1) = 0.5734 | |
N(d2) = 0.4741 |
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. | $3.47 | |
b. | $3.82 | |
c. | $4.25 | |
d. | $6.87 | |
e. | $4.20 |
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