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1. Use the following information to calculate the theoretical Call option price

ID: 2698041 • Letter: 1

Question

1. Use the following information to calculate the theoretical Call option price via the Black Scholes Model.

Stock price: $22

Strike price: $24

Days to maturity by days in year: 120/365

Risk free rate: 0.08

Standard deviation: 0.25



2. Use the following information (which is the same as the immediate prior problem) to calculate the theoretical Put option price via the Black Scholes Model.

Stock price: $22

Strike price: $24

Days to maturity by days in year: 120/365

Risk free rate: 0.08

Standard deviation: 0.25


3. Calculate the Present Value of Growth Opportunities based on the following information: Earnings Per Share = $8.00, Required Rate of Return = 14%, Dividends Per Share = $1.50, Return on Equity = 16%

Explanation / Answer

The Black-Scholes model for calculating the premium of an option was introduced in 1973 in a paper entitled, "The Pricing of Options and Corporate Liabilities" published in the Journal of Political Economy. The formula, developed by three economists