Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Chapter 20, Problem 28P
Suppose the S&P 500 is at 900, and it will pay a dividend of $30 at the end of the year. Suppose also that the interest rate is 2%. If a one-year European put option has a negative time value, what is the lowest possible strike price it could have?
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The price of a European CALL option is $8.00 and a European PUT is $10.00. The expiration date is 1 year and has an exercise price k=$60.00, the share price of the underlying asset is quoted today at $60.00. The risk-free rate is 10% per year. Propose a strategy that generates arbitrage and a profit.
Chapter 20 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 20.1 - What is the difference between an American option...Ch. 20.1 - Does the holder of an option have to exercise it?Ch. 20.1 - Prob. 3CCCh. 20.2 - What is a straddle?Ch. 20.2 - Explain how you can use put options to create...Ch. 20.3 - Explain put-call parity.Ch. 20.3 - If a put option trades at a higher price from the...Ch. 20.4 - What is the intrinsic value of an option?Ch. 20.4 - Can a European option with a later exercise date...Ch. 20.4 - How does the volatility of a stock affect the...
Ch. 20.5 - Is it ever optimal to exercise an American call on...Ch. 20.5 - When might it be optimal to exercise an American...Ch. 20.5 - Prob. 3CCCh. 20.6 - Explain how equity can be viewed as a call option...Ch. 20.6 - Explain how debt can be viewed as an option...Ch. 20 - Explain the meanings of the following financial...Ch. 20 - What is the difference between a European option...Ch. 20 - Below is an option quote on IBM from the CBOE Web...Ch. 20 - Prob. 4PCh. 20 - Prob. 5PCh. 20 - You own a call option on Intuit stock with a...Ch. 20 - Assume that you have shorted the call option in...Ch. 20 - You own a put option on Ford stock with a strike...Ch. 20 - Assume that you have shorted the put option in...Ch. 20 - What position has more downside exposure: a short...Ch. 20 - Consider the October 2015 IBM call and put options...Ch. 20 - You are long both a call and a put on the same...Ch. 20 - You are long two calls on the same share of stock...Ch. 20 - A forward contract is a contract to purchase an...Ch. 20 - You own a share of Costco stock. You are worried...Ch. 20 - Dynamic Energy Systems stock is currently trading...Ch. 20 - You happen to be checking the newspaper and notice...Ch. 20 - In mid-February 2016, European-style options on...Ch. 20 - Suppose Amazon stock is trading for 500 per share,...Ch. 20 - Consider the data for IBM options in Problem 3....Ch. 20 - You are watching the option quotes for your...Ch. 20 - Explain why an American call option on a...Ch. 20 - Consider an American put option on XAL stock with...Ch. 20 - The stock of Harford Inc. is about to pay a 0.30...Ch. 20 - Suppose the SP 500 is at 900, and a one-year...Ch. 20 - Suppose the SP 500 is at 900, and it will pay a...Ch. 20 - Prob. 29PCh. 20 - Suppose that in July 2009, Google were to issue 96...
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- 1. Suppose that, in each period, the cost of a security either goes up by a factor of u = 2 or down by a factor d = 1/2. Assume the initial price of the security is $100 and that the interest rate r is 0. c) Assuming the strike price of a European call option on this security is $90, compute the possible payoffs of the call option given that the option expires in two periods.arrow_forwardSuppose a European call option to buy 1 euro for 1.40 CAD costs 0.08 CAD. The option maturity is in two months and the forward exchange rate for the same maturity is 1.50 CAD per euro. What arbitrage opportunity exists? Explain how you can exploit this opportunity and how much the profit is. (Ignore the time value of money)arrow_forwardYou are considering a European put option and a European call option on ABC Ltd and have available the following information. The put option with an exercise price of $15 and time to maturity of 60 days is priced at $2.00. The call option with the same exercise price and time to maturity is priced at $3.00. The underlying asset price is $15. The risk-free rate is 2% per 60 days. Could an arbitrage profit be earned? If so, how much the arbitrage profit is? Show your works (Hint: use discrete put-call parity equation and consider two scenarios for stock price at maturity of the options: $10 or $20).arrow_forward
- A European-style put option that expires two periods from now has an exercise price of $125. The per-period risk-free rate in the economy is 5.4%. The underlying asset currently sells for $107.50 and will either go up in value by 12% or down by 10%. How much should the put option sell for right now? Round your answer to the nearest penny.arrow_forwardplease give me answer in relatablearrow_forwardConsider a European call option and a European put option that have the same underlying stock, the same strike price K = 40, and the same expiration date 6 months from now. The current stock price is $45. a) Suppose the annualized risk-free rate r = 2%, what is the difference between the call premium and the put premium implied by no-arbitrage? b) Suppose the annualized risk-free borrowing rate = 4%, and the annualized risk-free lending rate = 2%. Find the maximum and minimum difference between the call premium and the put premium, i.e., C − P such that there is no arbitrage opportunities.arrow_forward
- The price of one-year and two-year European put option with strike price $100 are $10 and $4 respectively. The term-structure of interest rate is 10%. Is there any arbitrage opportunity? If yes, perform the arbitrage.arrow_forwardWhich of the following statements is (are) TRUE? Select one or more alternatives: If the AUD trades at a forward premium relative to the NZD, we would expect the NZD risk-free rate to be higher than the AUD risk-free rate. If the 1-year AUD risk-free rate is higher than the 1-year NZD risk-free rate then the value of the NZD will rise relative to the AUD over the next year. Assuming it doesn't hedge, a New Zealand based company importing Australian products will suffer if the value of the AUD rises relative to the NZD. □ If covered interest rate parity holds, then uncovered interest rate parity must also hold.arrow_forwardConsider 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_forward
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