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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Textbook Question
Chapter 21, Problem 13PS
American options Suppose that you own an American put option on Buffelhead stock (see Problem 6) with an exercise price of $220.
- a. Would you ever want to exercise the put early?
- b. Calculate the value of the put.
- c. Now compare the value with that of an equivalent European put option.
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An investor buys a European call option at a price of 7.6 yuan. The stock price is 52 yuan and the strike price is 55 yuan. Under what circumstances will the investor make a profit ? Under what circumstances will the option be executed ? Draw a diagram of the relationship between investor profitability and stock price at maturity.
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1. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, � = 0.5
The Call option value is 3.77. and put option value is 1.99
Suppose a European put options has a price higher than that dictated by the putcall parity.
a. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless. Note: Use the call and put options prices above)b. Name the options/stock strategy used to proof the put-call parity. explainc. What would be the extent of your profit in (a) depend on? explain
Chapter 21 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 21 - Prob. 1PSCh. 21 - Option delta a. Can the delta of a call option be...Ch. 21 - Prob. 4PSCh. 21 - Binomial model Over the coming year, Ragworts...Ch. 21 - BlackScholes model Use the BlackScholes formula to...Ch. 21 - Option risk A call option is always riskier than...Ch. 21 - Prob. 8PSCh. 21 - Prob. 9PSCh. 21 - Binomial model Suppose a stock price can go up by...Ch. 21 - American options The price of Moria Mining stock...
Ch. 21 - Prob. 12PSCh. 21 - American options Suppose that you own an American...Ch. 21 - Prob. 14PSCh. 21 - Prob. 15PSCh. 21 - American options The current price of the stock of...Ch. 21 - Option delta Suppose you construct an option hedge...Ch. 21 - Prob. 19PSCh. 21 - American options Other things equal, which of...Ch. 21 - Option exercise Is it better to exercise a call...Ch. 21 - Prob. 22PSCh. 21 - Option delta Use the put-call parity formula (see...Ch. 21 - Option delta Show how the option delta changes as...Ch. 21 - Dividends Your company has just awarded you a...Ch. 21 - Prob. 27PSCh. 21 - Prob. 28PSCh. 21 - Prob. 29PS
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- Use Two-State Binomial Option (European) Pricing Model. Suppose you bought a stock today for $38.00. The stock price can either go up by a factor of 1.30 or down by a factor of 0.70 with equal probability in 0.50 years (or 180 days). Suppose the annual risk-free rate is 3.50% and the option exercise price is 35.00. How much should be the Call Option Value that expires in 0.50 years (or 180 days)?Enter your answer in the following format: 1.23Hint: The answer is between 6.74 and 9.38arrow_forwardSuppose there is also a 1-year European put option on the same stock as in Question 3 with exercise price $30. The current stock price is also $25 and the stock price, in 1 year, will be either $35 (up by 40%) or $20 (down by 20%). The interest rate is 8%. This stock does not pay dividend. What is the value of the put option? Please use risk neutral probability method and assume discrete discounting. (2) What is put-call parity in option pricing? What needs to be true in order for put-call parity to hold?arrow_forwardStock options, gold options and index options are examples of options where the underlying assets are stocks, gold and stock market index, respectively. What is the difference between European and American option? Are European options available exclusively in Europe and American options available exclusively in the United States? You own a call option on Intuit stock with a strike price of RM36. The option will expire in exactly three months’ time. If the stock is trading at RM46 in three months, what will be the payoff of the call? If the stock is trading at RM32 in three months, what will be the payoff of the call? Draw a payoff diagram showing the value of the call at expiration as a function of the stock price at expiration. Suppose that a June put option to sell a share for RM10 costs RM2 and is held until June. Under what circumstances will the seller of the option make a profit? Under what circumstances will the option exercised?arrow_forward
- 1. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, � = 0.5 The Call option value is 3.7739. and put option value is 1.8101 Suppose a European put options has a price higher than that dictated by the putcall parity. a. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless. Note: Use the call and put options prices above)b. Name the options/stock strategy used to proof the put-call parity. c. What would be the extent of your profit in (a) depend on?arrow_forwardYou buy a put and a call on a stock that expire at time T. They are European options. Both the put and the call have an exercise price of $50. Plot the cash flows at the time of expiry. This strategy has a name. What is it?arrow_forwardSuppose that a European call option to buy a share for $100.00 costs $5.00 and is held untilmaturity. Under what circumstances will the holder of the option make a profit? Underwhat circumstances will the option be exercised? Draw a diagram illustrating how the profitfrom a long position in the option depends on the stock price at maturity of the option. Suppose that a European put option to sell a share for $60 costs $8 and is held untilmaturity. Under what circumstances will the seller of the option (the party with the shortposition) make a profit? Under what circumstances will the option be exercised? Draw adiagram illustrating how the profit from a short position in the option depends on thestock price at maturity of the option.arrow_forward
- You own an American style call option on a stock. The option has two more weeks to maturity but is already in the money. Which would be the preferable course of action, exercise the options or selling them? Justify your answer.arrow_forwardSuppose you want to price an American style put option for a stock being traded on theKuispad Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ = 0.2, r = 0.07. Using n = 5, calculate the value of V0(0). Provide all necessary detailsarrow_forwardd. Briefly explain why you would pay more for a European call option ona (non-dividend paying) stock which has an annual return volatility of50% than for a European call on a (non-dividend paying) stock thathas annual volatility of 10% (assuming that all other variables thataffect option prices are the same for the two options.)arrow_forward
- Consider a European Call Option with a strike of 82. The current price of the underlying asset is 80, and the time to expiry is 5 months. The current market price of the option is 6.22. The risk-free rate is 4.1%. (b) You believe the true volatility is 28.4%. Is the option under-priced or overpriced? Hence what position should you take in option to make money. Explain. (Please provide Screenshots.)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_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
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