PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 20, Problem 29PS

Option bounds Problem 21 considered an arbitrage opportunity involving an American option. Suppose that this option was a European call. Show that there is a similar possible arbitrage profit.

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Suppose that C is the price of a European call option to purchase a security whose present price is S.Show that if C > S then there is an opportunity for arbitrage (i.e. riskless profit). You may assume theinterest rate is r = 0 so that present value calculations are unnecessary.
Which of the following statements about European option contracts is true? Question 2Answer a. Typically American options are cheaper than otherwise similar European options due to the uncertainty regarding the date of exercise. b. The price of an option can be obtained by computing the true probabilities of each state of nature, working out the expected option payoff across those states and then discounting back to the present. c. A long call position and a short put position both involve buying the underlying and so are equivalent d. One can synthesise a long forward position in the underlying by being long a call and short a put
Suppose that C is the price of a European call option to purchase a security whose present price is S. Show that if C>S then there is an opportunity for arbitrage (i.e. risk-less profit).  You may assume the interest rate is r=0 so that the present value calculations are unnecessary.

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PRIN.OF CORPORATE FINANCE

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