What is the value of a five-month European put on the futures with a strike price of 65?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 10P
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A futures price is currently 70, its volatility is 20% per annum, and the risk-free interest rate is 6% per annum. What is the value of a five-month European put on the futures with a strike price of 65?
Transcribed Image Text:A futures price is currently 70, its volatility is 20% per annum, and the risk-free interest rate is 6% per annum. What is the value of a five-month European put on the futures with a strike price of 65?
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Step 1: Introduction:

An option is an agreement between two parties granting one the opportunity to buy or sell a security from or to the other party at a predetermined future date. An option allows the buyer to either buy or sell the asset at a certain price and date. Options can be a useful instrument for controlling risk, hedging against loss, and making predictions about price changes in different financial markets.

There are two types of options, call and put options. A call option gives the buyer the right but not the compulsion to buy an underlying asset at a predetermined price on or before the future date. The put option grants the right to sell the underlying asset at the strike price before or on the expiration date to the buyer.

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