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

question 6

Multiple Choice

An analyst wants to use the Black-Scholes model to value call options on the stock of Ledbetter Inc. 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 0.40, 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?

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

---

Definitions:

Substantiation

The provision of evidence or proof to support a claim, allegation, or request, typically required in legal and financial contexts.

Limited Liability Companies

A business structure in the United States whereby the owners are not personally liable for the company's debts or liabilities.

Register

An official list or record, for example, of births, marriages, and deaths, legal transactions, or voters.

Voluntary Association

A group formed by individuals who voluntarily come together to pursue a common interest or goal.