A two-year at-the-money European put option on a stock is priced using the Black- Scholes formula. The stock pays dividend at the rate of 5% per annum and its expected rate of appreciation is 18% per annum. The volatility of the stock is 25% per annum. Given that the stock's Sharpe ratio is 0.56, calculate: (1) The elasticity of the put option. (ii) The put option's volatility.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter5: Financial Options
Section: Chapter Questions
Problem 4P: Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call...
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A two-year at-the-money European put option on a stock is priced using the Black-
Scholes formula. The stock pays dividend at the rate of 5% per annum and its expected
rate of appreciation is 18% per annum. The volatility of the stock is 25% per annum.
Given that the stock's Sharpe ratio is 0.56, calculate:
(i)
The elasticity of the put option.
(ii) The put option's volatility.
Transcribed Image Text:A two-year at-the-money European put option on a stock is priced using the Black- Scholes formula. The stock pays dividend at the rate of 5% per annum and its expected rate of appreciation is 18% per annum. The volatility of the stock is 25% per annum. Given that the stock's Sharpe ratio is 0.56, calculate: (i) The elasticity of the put option. (ii) The put option's volatility.
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