Corporate Finance, Student Value Edition (4th Edition)
4th Edition
ISBN: 9780134101446
Author: Berk, Jonathan; DeMarzo, Peter
Publisher: PEARSON
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Textbook Question
Chapter 20, Problem 24P
Explain why an American call option on a non-dividend-paying stock always has the same price as its European counterpart.
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Explain carefully why Blacks approach to evaluating an American call option on a dividend-paying stock may give an approximate answer even when only one dividend is anticipated. Does the answer given by Blacks approach understate or overstate the true option value? Explain your answer.
Calls options were traded on exchanges before puts. During the period of time when calls were traded but puts were not traded, how would you create a European put option on a non-dividend-paying stock synthetically?
Is the Black-Scholes-Merton options pricing model well suited to pricing an American call option on a dividend paying stock?
Chapter 20 Solutions
Corporate Finance, Student Value Edition (4th Edition)
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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- Which of the following can be used to create a long position in a European put option on a stock? A. Sell call on the stock and buy stock B. Sell call option on the stock and sell stock C. Buy call option on the stock and buy stock D. Buy call on the stock and short stock.arrow_forwardWhich of the following can be used to create a long position in a European put option on a stock? Buy a call on the stock and short the stock Sell a call option on the stock and buy the stock Sell a call option on the stock and sell the stock Buy a call option on the stock and buy the stockarrow_forwardThe role of ex-dividend date in the payment of cash dividend. Question to answer: How are American options different from the European options? Which one of them is likely to have a higher value? Why?arrow_forward
- Part I. Explain why an American call options on futures could be optimally exercised early while call options on the spot can not be optimally exercised. Assume that there is no dividend. Explain how to use call options and put options to create a synthetic short position in stock. Part II. Indicate whether each of the following two statements below is true, false or uncertain and justify your response. It is theoretically impossible for an out-of-money European call and an in-the-money European put to be trading at the same price. Both options are written on the same non-dividend paying stock. A 3-month European put option on a non-dividend-paying stock is currently selling for $3.80. The stock price is $48.0, the strike price is $51, and the risk-free interest rate is 6% per annum (continuous compounding). There is no arbitrage opportunity in this scenario.arrow_forwardExplain why an American call options on futures could be optimally exercised early while call options on the spot can not be optimally exercised. Assume that there is no dividend. Explain how to use call options and put options to create a synthetic short position in stock.arrow_forwardUnder the assumptions of the Black-Scholes model, which value does not affect the price of a European call option: Select one: a. the interest rate r b. the spot price S c. the strike price K d. the return of the stock µ e. the volatility of the stock σarrow_forward
- In this problem, we derive the put-call parity relationship for European options on stocks that pay dividends before option expiration. For simplicity, assume that the stock makes one dividend payment of $D per share at the expiration date of the option.a. What is the value of a stock-plus-put position on the expiration date of the option?b. Now consider a portfolio comprising a call option and a zero-coupon bond with the same maturity date as the option and with face value (X + D). What is the value of this portfolio on the option expiration date? You should find that its value equals that of the stock-plus-put portfolio regardless of the stock price.c. What is the cost of establishing the two portfolios in parts (a) and (b)? Equate the costs of these portfolios, and you will derive the put-call parity relationship.arrow_forwardState and prove the Put-Call Parity Theorem that gives the relation between a European Call and a Put option price where the options are written on the same stock, same time to maturity and have the same exercise price.arrow_forwardWhich of the following is true, select the most appropriate answer below? There is always some chance that an American call option on a stock will be exercised early when no dividends are expected An American call option on a stock should never be exercised early An American call option on a stock should never be exercised early when no dividends are expected There is always some chance that an American call option on a stock will be exercised earlyarrow_forward
- D6) Derive the lower bound for European call options on both non-dividend-paying stocks and dividend-paying stocks.arrow_forwardWhat is arbitrage? Explain the arbitrage opportunity when the price of a dually listedmining company stock is $50 (USD) on the New York Stock Exchange and $60 (CAD) on the Toronto Stock Exchange. Assume that the exchange rate is such that 1 USD equals 1.21 CAD. Explain what is likely to happen to prices as traders take advantage of this opportunity.arrow_forwardPlease help me prove this question: Show that for a European put on a stock which pays continuous dividends, P(S,t)=Ker(T-t)N(-d*2)-Se-q (T-t)N(-d*1). Here d*1 and d*2 are the usual d1 and d2 but with r replaced by r-q.arrow_forward
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