Consider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations.

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
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Consider a put option on a stock that currently sells for £100, but may rise to £120 or
fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90.
(a) Calculate the value of the put option using the risk-neutral valuation relationship
(RNVR). Explain the reasoning behind your calculations.
(b) Calculate the value of the put option by using first principles (No Arbitrage prin-
ciples). Explain the reasoning behind your calculations.
(c) What is the price of a call option on the same stock with the same exercise price
and the same expiration date? Explain the reasoning behind your calculations.
(d) Is there an arbitrage opportunity in this market? Explain.
(e) You expect little or no change in stock prices in the near future. Construct as many
option portfolios as you can to make some profit. You can buy and sell as many
options as you like with the exercise price and expire date shown in parts (a)-(c).
Sketch the Profit and Loss graph for your portfolio and briefly explain.
Transcribed Image Text:Consider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations. (d) Is there an arbitrage opportunity in this market? Explain. (e) You expect little or no change in stock prices in the near future. Construct as many option portfolios as you can to make some profit. You can buy and sell as many options as you like with the exercise price and expire date shown in parts (a)-(c). Sketch the Profit and Loss graph for your portfolio and briefly explain.
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