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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Consider a 2-year EUROPEAN PUT with a strike price of $65 on a stock whose current stock price is $60. Suppose that there are two time steps, and in each time step the stock price either moves up by 20% or moves down by 20%. Also suppose that risk-free rate is 5% per annum with continuous compounding . What is the value of the European put option?
The stock price is currently $100. Over each of the next two six-month periods, it is expected to go up by 20% or down by 20%. The risk-free interest rate is 5% per annum with continuous compounding.
What is the value of a one-year European call option with a strike price of $100?
What is the value of a one-year European put option with a strike price of $100?
Verify that the European call and European put prices satisfy put-call parity.
Suppose that a stock price is currently 35 dollars, and it is known that four months from now, the price will be either 51 dollars or 29 dollars. Find the value of a European call option on the stock that expires four months from now, and has a strike price of 39 dollars. Assume that no arbitrage opportunities exist and a risk-free interest rate of 10 percent.Answer =dollars.
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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- Consider a European call option on the S&P 500 that is two months from maturity. The currentvalue of the index is 930, the exercise price is 900, the risk-free interest rate is 8% per annum,and the volatility of the index is 20% per annum. Dividend yields of 0.2% and 0.3% are expectedin the first month and the second month, respectively. Calculate the call pricearrow_forwardYou buy a European call option priced at $0.025/€ on €225,000 at a strike price of $1.50/€. If at maturity, the observed price is $1.60/€, what is the total net cash flow involved at the end of this investment whether you exercise or do not exercise this option?arrow_forwardThe price of a European call that expires in six months and has a strike price of $30 is $2. The underlying stock price is $29, and a dividend of $0.50 is expected in two months and again in five months. Risk-free interest rates (all maturities) are 10% per annum with continuous compounding. What is the price of a European put option that expires in six months, and has a strike price of $30 and the same underlying asset?arrow_forward
- You buy a European put option priced at $0.025/€ on €225,000 at a strike price of $1.50/€. If at maturity, the observed price is $1.60/€, what is the total net cash flow involved at the end of this investment whether you exercise or do not exercise this option?arrow_forwardThere is a European call option on the S&500 index. There are two months till maturity. The current value of the index is 3910 and the exercise price on the call is 3900. The continuously compounded risk-free interest rate is 5%. The volatility of the index is 20% per annum and the annual dividend yield is 3%. How much would you be willing to pay for this call option if each index point is worth $100?arrow_forwardThe British pound (£) is currently worth 1.45 euros (€). This can either increase by u = 1.1 or decrease by d = 0.9 over each 4 months. Consider a European call option with a strike price of K = 1€ per £ and time-to-maturity T = 8 months. The continuously compounded risk-free rate in Britain is 4% per annum and in Europe is 10% per annum. What is the price of the European call option today? Please explain your answer using your own words and show your workings. In addition, if the option was American-style would the risk-neutral probability of an up-move be smaller than, equal to or greater than the one you have calculated? Explain why using your own words.arrow_forward
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