Ask Question
8 April, 07:10

An analAn analyst wants to use the Black-Scholes model to value call options on the stock of Heath Corporation based on the following dа ta: · 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 0.40, and the variance is 0.16. · The risk-free rate is 6%. Given this information, the analyst then calculated the following necessary components of the Black-Scholes model: · d1 = 0.175 · d2 = - 0.025 · N (d1) = 0.56946 · 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?

+2
Answers (1)
  1. 8 April, 07:24
    0
    Value of the call option using Black-Scholes Model is $3.47

    Explanation:

    d1 = 0.175

    • d2 = - 0.025

    • N (d1) = 0.56946

    • N (d2) = 0.49003

    N (d1) and N (d2) represent areas under a standard normal distribution function.

    Stock price: $40.00 N (d1) = 0.56946

    Strike price: $40.00 N (d2) = 0.49003

    Option maturity: 0.25

    Variance of stock returns: 0.16

    Risk-free rate: 6.0%

    The Black-Scholes model calculates the value of the call option as:

    V = P[N (d1) ] - Xe^rt[N (d2) ]

    = $40 (0.56946) - $40e^rt (0.49003)

    = $22.78 - $19.31

    = $3.47
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “An analAn analyst wants to use the Black-Scholes model to value call options on the stock of Heath Corporation based on the following ...” in 📘 Business if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers