Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 20, Problem 28PS
Option values You’ve just completed a month-long study of energy markets and conclude that energy prices will be much more volatile in the next year than historically. Assuming you’re right, what types of option strategies should you undertake? (Note: You can buy or sell options on oil-company stocks or on the price of future deliveries of crude oil, natural gas, fuel oil, etc.)
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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.
Chapter 20 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 20 - Vocabulary Complete the following passage: A _____...Ch. 20 - Option payoffs Note Figure 20.13 below. Match each...Ch. 20 - Option combinations Suppose that you hold a share...Ch. 20 - Put-call parity What is put-call parity and why...Ch. 20 - Prob. 5PSCh. 20 - Option combinations Dr. Livingstone 1. Presume...Ch. 20 - Option combinations Suppose you buy a one-year...Ch. 20 - Prob. 8PSCh. 20 - Prob. 9PSCh. 20 - Option values How does the price of a call option...
Ch. 20 - Option values Respond to the following statements....Ch. 20 - Option combinations Discuss briefly the risks and...Ch. 20 - Option payoffs The buyer of the call and the...Ch. 20 - Option bounds Pintails stock price is currently...Ch. 20 - Putcall parity It is possible to buy three-month...Ch. 20 - Prob. 16PSCh. 20 - Option values FX Bank has succeeded in hiring ace...Ch. 20 - Option combinations Suppose that Mr. Colleoni...Ch. 20 - Put-call parity A European call and put option...Ch. 20 - Putcall parity a. If you cant sell a share short,...Ch. 20 - Putcall parity The common stock of Triangular File...Ch. 20 - Prob. 23PSCh. 20 - Option combinations Option traders often refer to...Ch. 20 - Option values Is it more valuable to own an option...Ch. 20 - Option values Table 20.4 lists some prices of...Ch. 20 - Option values Youve just completed a month-long...Ch. 20 - Prob. 29PSCh. 20 - Prob. 30PS
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- Consider a European call option struck "at-the-money", meaning the strike price equals current stock price. There is one year until expiration and the risk-free annual interest rate is r = 0.06. We define the call option's "delta" as aCE(S,t) A as Is it possible to determine whether or not the call option's delta is greater than or less than 0.5?arrow_forwardi need the answer quicklyarrow_forwardA put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 − $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 − $1.00 =…arrow_forward
- A put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 – $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 – $1.00 =…arrow_forwardA put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 - $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 - $1.00 =…arrow_forward!arrow_forward
- Using the Black-Scholes-Merton model, calculate the value of an European call option under the following parameters: The underlying stock's current market price is $30; the exercise price is $35; the time to expiry is 4 months; the standard deviation is 0.5; and the risk free rate of return is 5%. Group of answer choices $1.91 Cannot be determined from the given information. $3.91 $2.91arrow_forwardSuppose we have both a European call option and put option with an exercise price of $53 and the underlying stock is currently priced at $50. We are to note also that both options will expiry in six months. Further, market surveys suggest that the price of the stock can either go up by 20% or decrease by 25%. The current risk-free rate of interest is 2% per annum. Required: (a) What is the expected price of the underlying asset at expiry date? (b) What is the value of the call option, using the binomial model? (c) If the put option is selling for $4.80, what should be the price of the call option to avoid arbitrage?arrow_forwardReal Options & Game Theory Consider a stock that is priced at $200 today and a call option on that stock that gives you the right but not the obligation to buy the stock at $225 in one year’s time. There are only two scenarios: either an upside, on which the price rises to $300 or a downside that leads to a drop of $100. The risk free interest rate (rf) is 8%. What is the value of this option?arrow_forward
- In a financial market a stock is traded with a current price of 50. Next period the price of the stock can either go up with 30 per cent or go down with 25 per cent. Risk-free debt is available with an interest rate of 8 per cent. Also traded are European options on the stock with an exercise price of 45 and a time to maturity of 1, i.e. they mature next period. Calculate the price of a call option by constructing and pricing a replicating portfolio.arrow_forwardYou are interested to value a put option with an exercise price of $100 and one year to expiration. The underlying stock pays no dividends, its current price is $100, and you believe it either increases to $120 or decreases to $80. The risk-free rate of interest is 10%. Calculate the put option's value using the binomial pricing model, presenting your calculations and explanations as follows: a. Draw tree-diagrams to show the possible paths of the share price and put payoffs over one year period. (Note: Show the numbers that are known and use letter(s) for what is unknown in your diagrams.) b. Compute the hedge ratio. c. Find the put option price. Explain your calculations clearly. d. Use put-call parity, find the price of a call option with the same exercise price and the same expiration date.arrow_forwardPlease answer both questionsarrow_forward
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