PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Textbook Question
Chapter 20, Problem 15PS
Put–call parity
- a. If you can’t sell a share short, you can achieve exactly the same final payoff by a combination of options and borrowing or lending. What is this combination?
- b. Now work out the mixture of stock and options that gives the same final payoff as investment in a risk-free loan.
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Students have asked these similar questions
Tick all those statements on options that are correct (and don't tick those statements that are incorrect).
a. In general the equation S(T) + (K − S(T))† = (S(T) – K)† + K is valid.
-
b. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion.
The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion.
d. An American put option should never be exercised before the expiry time.
e.
If interest is compounded continuously then the put-call parity formula is P + S(0) = C + Ke¯r where T is the expiry
time.
C.
Tick all those statements on options that are correct (and don't tick those statements that are incorrect).
O a. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion.
Ob. The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion.
0 C. If interest is compounded continuously then the put-call parity formula is P+ S(0) = C + Ke where I is the expiry time.
Od. In general the equation S(T) + (K − S(T))+ (S(T) — K)† + K is valid.
An American put option should never be exercised before the expiry time.
e.
=
Use the put-call parity relationship to demonstrate that an at-the-money call option on a nondividend-paying stock must cost more than an at-the-money put option. Show that the prices of the put and call will be equal if So = (1 + r)^T
Chapter 20 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 20 - Vocabulary Complete the following passage: A _____...Ch. 20 - Option payoffs Note Figure 20.12 below. Match each...Ch. 20 - Option payoffs Look again at Figure 20.12. It...Ch. 20 - Option payoffs What is a call option worth at...Ch. 20 - Option payoffs The buyer of the call and the...Ch. 20 - Option combinations Suppose that you hold a share...Ch. 20 - Option combinations Dr. Livingstone 1. Presume...Ch. 20 - Option combinations Suppose you buy a one-year...Ch. 20 - Option combinations Suppose that Mr. Colleoni...Ch. 20 - Option combinations Option traders often refer to...
Ch. 20 - Prob. 11PSCh. 20 - Option combinations Discuss briefly the risks and...Ch. 20 - Put-call parity A European call and put option...Ch. 20 - Putcall parity a. If you cant sell a share short,...Ch. 20 - Putcall parity The common stock of Triangular File...Ch. 20 - Put-call parity What is put-call parity and why...Ch. 20 - Putcall parity There is another strategy involving...Ch. 20 - Putcall parity It is possible to buy three-month...Ch. 20 - Putcall parity In April 2017, Facebooks stock...Ch. 20 - Option bounds Pintails stock price is currently...Ch. 20 - Option values How does the price of a call option...Ch. 20 - Option values Respond to the following statements....Ch. 20 - Option values FX Bank has succeeded in hiring ace...Ch. 20 - Option values Is it more valuable to own an option...Ch. 20 - Option values Youve just completed a month-long...Ch. 20 - Option values Table 20.4 lists some prices of...Ch. 20 - Option bounds Problem 21 considered an arbitrage...Ch. 20 - Prob. 30PSCh. 20 - Prob. 31PSCh. 20 - Prob. 32PS
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Arbitrage is the idea that one can (select the best answer): Group of answer choices Buy and Sell different assets or packages of assets at different prices such you can earn a riskless profit without investing any capital. Earn rates of return greater than the average for the market by successfully “picking” stocks. Earn abnormal returns above what CAPM would predict for a particular security.arrow_forwardWhich of the following statements is true? A. Because of flotation costs, dollars raised by retaining earnings must work harder than dollars raised by selling new shares. B. All other things being equal, a call option price will increase, and a put option price will decrease if an exercise price increases. C. Security market line (SML) plots return against total risk which is measured by the standard deviation of returns. D. Because potential long-term returns, income from rent-payments, diversification, and inflation hedge, real-estate would be a good investment.arrow_forwardTrue or False. and briefly explain. a. Under the Capital Asset Pricing Model (CAPM), if a stock has a zero beta, then it must be identical to the riskfree asset. b. For Value at Risk (VaR) to be useful, the returns have to be normally distributed. c.If the borrowing rate is higher than the lending rate, a particular risk-averse investor can achieve a maximized utility score of UC* by choosing optimally. Now if the borrowing rate is equal to the lending rate, this investor must be able to achieve a utility score higher than UC*arrow_forward
- 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.arrow_forwardConsider a capital market with two securities. The payoffs of these securities in the two equally likely states of the world are given in the table below. Рayolf Price Security State 1 State 2 PA=2 A 4 2 PB-3 B a. Discuss the concepts of complete capital markets, pure (Arrow-Debreu) securities, and pure factor portfolios. Establish whether the capital market in this case is complete and determine the prices of the pure socurities by arbitrage.arrow_forwardDiscuss how the concept of pure security, short selling and no arbitrage profit help establish and understand the equilibrium from the capital markets. Discuss different economic determinants security prices. Kindly answer the question as soon as possible.arrow_forward
- “Even in an efficient market, it is still valid to seek out a ‘favourable’ rate of returnfrom an equity investment. In an efficient market, one security is as good as any other.”Do you agree with this statement? Discuss your point of view.arrow_forwardDo solve all parts A. What risk premium do you use? Why? B. Why is the geometric mean lower than the arithmetic mean for both bonds and bills? C. If you had to use a risk premium with the longer periods, what biases will the investor have?arrow_forwarda. Explain the covered call options strategy b. Graphically show a covered call options strategy, including payoff. Explain why an investor mayuse this option strategy.c. Using put-call parity, explain the shape of the payoff line (in part (a) of this question). Whatoption position does it look like and why?arrow_forward
- If you have long position in one asset and you want to hedge the risk of price drop in that asset while still having the upside in case the asset price goes up, what sort of derivative trading will you do? Explain in brief with payoff diagram.arrow_forwardSuppose stocks X and Y have equal current prices but different volatilities of returns, ax < øy; what would be more expensive: a call option on X or Y? Please discuss.arrow_forwardPut–Call Parity - A put and a call have the same maturity and strike price. If they have the same price, which one is in the money? Prove your answer and provide an intuitive explanation.arrow_forward
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