Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 24, Problem 6QP
Using the Pricing Equation [LO2] A one-year call option contract on Cheesy Poofs Co. stock sells for $925. In one year, the stock will be worth $47 or $68 per share. The exercise price on the call option is $60. What is the current value of the stock if the risk-free rate is 3 percent?
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13.
You are considering buying a Call Option on XYZ Company stock. XYZ Company stock is currently at $75 per share, and you predict that it will be $50 or $100 in one year. Call Option will support you for XYZ Company stock in buying one year for $65. Based on this information, answer the following questions:A. What is the value of the Call Option if the risk-free interest rate is 3%?B. Give your analysis of the relationship between buying an option with the risk of the company.
Suppose that an American put option with a strike price of $155.5 and maturity of 12.0 months
costs $11.0. The underlying stock price equals 143. The continuously compounded risk-free rate
is 6.5 percent per year. What is the potential arbitrage profit from buying a put option on one
share of stock?
O 12.401
1.5
no arbitrage profit available
11.943
1.6783
Question 5:
A call option on a stock that expires in a year has a strike price of $99.
The current stock price is $100 and the one-year risk free interest rate is
10%.
The price of this call is $6.
a)
Is arbitrage possible? What is the arbitrage position?
b)
do you het this minimum?
Find the minimum arbitrage profit for this strategy. When
Chapter 24 Solutions
Fundamentals of Corporate Finance
Ch. 24.1 - What is a call option? A put option?Ch. 24.1 - If you thought that a stock was going to drop...Ch. 24.2 - What is the value of a call option at expiration?Ch. 24.2 - What are the upper and lower bounds on the value...Ch. 24.2 - Prob. 24.2CCQCh. 24.3 - Prob. 24.3ACQCh. 24.3 - Prob. 24.3BCQCh. 24.3 - Prob. 24.3CCQCh. 24.4 - Prob. 24.4ACQCh. 24.4 - Prob. 24.4BCQ
Ch. 24.5 - Why do we say that the equity in a leveraged firm...Ch. 24.5 - All other things being the same, would the...Ch. 24.6 - Prob. 24.6ACQCh. 24.6 - Prob. 24.6BCQCh. 24.6 - Prob. 24.6CCQCh. 24.7 - Prob. 24.7ACQCh. 24.7 - Prob. 24.7BCQCh. 24.7 - Prob. 24.7CCQCh. 24.7 - Prob. 24.7DCQCh. 24 - Steve sold a put option when the option premium...Ch. 24 - Prob. 24.2CTFCh. 24 - Prob. 24.4CTFCh. 24 - Prob. 1CRCTCh. 24 - Prob. 2CRCTCh. 24 - Prob. 3CRCTCh. 24 - Prob. 4CRCTCh. 24 - Prob. 5CRCTCh. 24 - Options and Stock Risk [LO2] If the risk of a...Ch. 24 - Prob. 7CRCTCh. 24 - Prob. 8CRCTCh. 24 - Prob. 9CRCTCh. 24 - Prob. 10CRCTCh. 24 - Prob. 11CRCTCh. 24 - Prob. 12CRCTCh. 24 - Prob. 13CRCTCh. 24 - Prob. 14CRCTCh. 24 - Prob. 15CRCTCh. 24 - Calculating Option Values [LO2] T-bills currently...Ch. 24 - Understanding Option Quotes [LO1] Use the option...Ch. 24 - Calculating Payoffs [LO1] Use the option quote...Ch. 24 - Calculating Option Values [LO2] The price of Build...Ch. 24 - Calculating Option Values [LO2] The price of...Ch. 24 - Using the Pricing Equation [LO2] A one-year call...Ch. 24 - Equity as an Option [LO4] Rackin Pinion...Ch. 24 - Equity as an Option [LO4] Buckeye Industries has...Ch. 24 - Calculating Conversion Value [LO6] A 1,000 par...Ch. 24 - Convertible Bonds [LO6] The following facts apply...Ch. 24 - Calculating Values for Convertibles [LO6] You have...Ch. 24 - Calculating Warrant Values [LO6] A bond with 20...Ch. 24 - Prob. 13QPCh. 24 - Prob. 14QPCh. 24 - Prob. 15QPCh. 24 - Prob. 16QPCh. 24 - Intuition and Option Value [LO2] Suppose a share...Ch. 24 - Intuition and Convertibles [LO6] Which of the...Ch. 24 - Convertible Calculations [LO6] Starset, Inc., has...Ch. 24 - Abandonment Decisions [LO5] Allied Products, Inc.,...Ch. 24 - Pricing Convertibles [LO6] You have been hired to...Ch. 24 - Abandonment Decisions [LO5] Consider the following...Ch. 24 - SS Airs Convertible Bond SS Air is preparing its...Ch. 24 - Prob. 2MCh. 24 - Prob. 3MCh. 24 - Prob. 4MCh. 24 - Prob. 5M
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- Modigliani-Miller Theorem I. 7. Options A. How does the price of a call option respond to the following changes, other things equal? Does the price go up or down? Explain briefly the intuition for your answer. (i). Exercise price rises. (ii). Volatility of stock price rises. 3arrow_forwardSuppose XYZ stock pays no dividends and has a current price of $50. The forward price for delivery in 1 year is $55. Suppose the 1-year eective annual interest rate is 10%. (a) Graph the payo and prot diagrams for a forward contract on XYZ stock with a forward price of $55. (b) Is there any advantage to investing in the stock or the forward contract? Why? (c) Suppose XYZ paid a dividend of $2 per year and everything else stayed the same. Now is there any advantage to investing in the stock or the forward contract? Why?arrow_forwardC. Draw a graph of the SML and locate the projects (A) and (B) on the graph. 5. Effective Annual Yield (EAY) and Effective Annual Rate (EAR) A. You plan to invest $1,000 for one year and you have the opportunity to invest it at a 12 percent APR, compounded monthly. Alternatively, you could invest the funds at an annual rate of 12.3 percent compounded semiannually. What is the EAY of each alternative? (Hint: You need to carry your answer to at least the fourth decimal place.) Which investment should be chosen? 2arrow_forward
- Aa.1 The current price of stock XYZ is 100. In one year, the stock price will either be 120 or 80. The annually compounded risk-free interest rate is 10%. i. Calculate the no-arbitrage price of an at-the-money European put option on XYZ expiring in one year. ii. Suppose that an equivalent call option on XYZ is also trading in the market at a price of 10. Determine if there is a mis-pricing. If there is a mis-pricing, demonstrate how you would take advantage of the arbitrage opportunity.arrow_forward4. (15 pts) The current price of a stock is $50 and we assume it can be modeled by geometric Brownian motion with o = .15. If the interest rate is 5% and we want to sell an option to buy the stock for $55 in 2 years, what should be the initial price of the option for there not to be an arbitrage opportunity?arrow_forwardConsider a European call option on a non-dividend paying stock with exercise price 100 USD and expiration time in one year. Interest rate is 1 percent and the price of the stock today is 75 USD. For what price of the option is the Black-Scholes implied volatility equal to 0.35 Use excelarrow_forward
- Assume only two states will exist one year from today when a call on Delta Transportation, Inc. stock expires. The price of Delta stock will be either $60 or $40 on that date. Today, Delta stock trades for $55. The strike price of the call is $50. The continuously compounded risk - free rate is 9%. a. What is the tracking portfolio (\Delta and b)? b. How much are you willing to pay for the call option?arrow_forward6 Consider a stock that is worth $50. A European put and a European call on this stock have an exercise strike price of $50 and expire in one year. The call costs $5 and the put costs $4. A risk-free bond will pay $50 in one year and costs $45. Is there an arbitrage opportunity? If so, state what transactions you would make and the present value of how much profit you would earn at expiration.arrow_forwardGive typing answer with explanation and conclusion A call option has a strike price of $11, and a time to expiration of 0.8 in years. If the stock is trading for $20, N(d1) = 0.5, N(d2) = 0.12, and the risk free rate is 5.40%, what is the value of the call option?arrow_forward
- Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.56. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option?arrow_forwardA power option pays off [max(S₁ - X),01² at time T where ST is the stock price at time T and X is the strike price. Consider the situation where X = 26 and T is one year. The stock price is currently $24 and at the end of one year it will either $30 or $18. The risk-free interest rate is 5% per annum, compounded continuously. What is the risk- neutral probability of the stock rising to $30? 0.500 0.603 0.450 None of the abovearrow_forward4. A stock is selling today for $100. The stock has an annual volatility of 45 percent and the annual risk-free interest rate is 12 percent. A 1 year European put option with an exercise price of $90 is available to an investor .a.Use Excel’s data table feature to construct a Two-Way Data Table to demonstrate the impact of the risk free rate of interest and the volatility on the price of this put option: i. Risk Free Rates of 5%, 7%, 9%, 12%, 15% and 18%. ii. Volatility of 35%, 45%, 55%, and 65%. b. How is the put option price impacted by varying the risk free rate of interest? c.How is the put option price impacted by varying the volatility?arrow_forward
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