Problem:
An analyst is interested in using the Black-Scholes model to value call options on the stock of Ledbetter Inc. The analyst has accumulated the following information:
· The price of the stock is $40.
· The strike price is $40.
· The option matures in 3 months (t = 0.25).
· The standard deviation of the stock's returns is 0.40 and the variance is 0.16.
· The risk-free rate is 12 percent.
Given this information, the analyst is then able to calculate some other necessary components of the Black-Scholes model:
· d1 = 0.25.
· d2 = 0.05.
· N(d1) = 0.5987.
· N(d2) = 0.5499.
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?
- $3.38
- $2.60
- $3.76
- $3.87
- $4.12