Consider a stock that pays no dividends on which a futures contract, a call option, and a put option trade. The maturity date for all three contracts is T, the exercise price of both the put and the call is X, and the futures price is F. Show that if X = F, then the call price equals the put price. Use parity conditions to guide your demonstration.

Consider a stock that pays no dividends on which a futures contract, a call option, and a put option trade. The maturity date for all three contracts is T, the exercise price of both the put and the call is X, and the futures price is F. Show that if X = F, then the call price equals the put price. Use parity conditions to guide your demonstration.

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter8: Financial Options And Applications In Corporate Finance

Section: Chapter Questions

Problem 5MC: In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1)...

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Consider a stock that pays no dividends on which a futurescontract, a call option, and a put option trade. The maturity date for all three contracts is T, the strikeprice of both the put and the call is K, and the futures price is F. Prove that if K = F, then the price ofthe call option equals the price of the put option.
In the Black-Scholes option pricing model, the value of a call is inversely related to: a. the risk-free interest stock b. the volatility of the stock c. its time to expiration date d. its stock price e. its strike price
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Explain in detail with an example how the change of the variables (like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration) of Black-Scholes-Merton Formula affect the price of the option.
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Assume that F, and Fy are the futures prices of two contracts on the same non-dividend-paying investment asset, with times to maturity T, and Tz, Tz > T1. Prove that therelationship between the two prices must be see image
Consider a call and a put options with the same strike price and time to expiry. Given that the strike price is exactly equals to the forward price, then: A. Put and call have same premium B. The premium of the put is equal to the forward price C. The premium of the put is equal to the premium of the call plus the present value of the strike D. The premium of the call is equal to the forward price
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