Asked by Jamesetta Quiteh on May 29, 2024

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The current stock price of KMW is $27, the risk-free rate of return is 4%, and the standard deviation is 30%. What is the price of a 63-day call option with an exercise price of $25?

A) $2.50
B) $2.65
C) $2.89
D) $3.12

Risk-free Rate

The theoretical rate of return of an investment with zero risk of financial loss, typically represented by the yield on government securities.

Standard Deviation

A measure of the dispersion or variation in a set of values, often used in finance to assess the volatility of an investment.

Call Option

is a financial contract that gives the buyer the right, but not the obligation, to buy a stock, bond, commodity, or other asset at a specified price within a specific time period.

  • Understand the Black-Scholes model and its utilization in determining the prices of options.
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KC
Kassu ChathuJun 01, 2024
Final Answer :
B
Explanation :

d1 =  d<sub>1</sub> =   = 0.7352 d<sub>2</sub> = 0.7352 - 0.30 ×   = 0.6106 N(d<sub>1</sub>) = 0.7689 N(d<sub>2</sub>) = 0.7293 Call value = $2.65 = 0.7352
d2 = 0.7352 - 0.30 ×  d<sub>1</sub> =   = 0.7352 d<sub>2</sub> = 0.7352 - 0.30 ×   = 0.6106 N(d<sub>1</sub>) = 0.7689 N(d<sub>2</sub>) = 0.7293 Call value = $2.65 = 0.6106
N(d1) = 0.7689
N(d2) = 0.7293
Call value = $2.65