PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 20, Problem 3PS
Option payoffs Look again at Figure 20.12. It appears that the investor in panel (b) can’t lose and the investor in panel (a) can’t win. Is that correct? Explain. (Hint: Draw a profit diagram for each panel.)
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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
After describing the main hypothesis made in the black and Scholes model explain the reasons why the volatility smile (or skew) is showing up in the options markets? Describe three alternative models to the Black and Scholes model (except the sticky delta and the sticky strike methods) and explain/justify how they cope with the phenomenon of volatility skew.
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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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- 2. Graph a call to buy option and explain how its payoff is given. Explain when it is in the money, at the money and out of the money.arrow_forwardSuppose you want to establish a bullish spread strategy. The are two call options. The first one has X1=$50 and C1=$5. The second one has X2=$42 and C2=$6. When the underlying asset price is S(t)=$45, what is the profit from the strategy? What is the maximum profit of the strategy? What is the minimum payoff of the strategy?arrow_forwardWe showed in the text that the value of a call option increases with the volatility of the stock. Is this also true of put option values? Use the put-call parity theorem as well as a numerical example to prove your answer.arrow_forward
- . Answer the following in a couple of sentences d) Compare swaps with forwards f) Why do you buy on margin?arrow_forwarda) discuss the relationship between the up-factor (u), down-factor (d), risk-free rate (r), and binomial probability (p) in the binomial model. b) discuss the assumptions in Black-Scholes-Merton model (BSM) from memory. c) discuss the variables in the BSM formula and explain how they affect call option pricing. d) define historical volatility and implied volatility. e) demonstrate how to reduce risk with gamma hedging.arrow_forwardProblem 4d: State whether the following statements are true or false. In each case, provide a brief explanation. d. In a binomial world, if a stock is more likely to go up in price than to go down, an increase in volatility would increase the price of a call option and reduce the price of a put option. Note that a static position is a position that is chosen initially and not rebalanced through time.arrow_forward
- Explain the call-put parity relation and how it is justified. Black-Scholes-Merton formula uses five variables to calculate the price of call and put options. Explain each of these variables incorporated in Black-Scholes-Merton formula. Show how the change in these variables affects the price of option. Show how these variables are grouped to show put-call parity relationship and suggest the condition in which there is an arbitrage opportunity. (Explain each of the things in detail with an appropriate examples)arrow_forward6. Equilibrium pricing: Let the subscripts: j = 0 denote the risk-free asset, j = 1,...,n the set of available risky securities, and M the market portfolio. For the questions that follow, assume that CAPM provides an accurate description of reality. a. b. C. d. State the CAPM equation. (1) Use the CAPM equation to show that the following condition is true s; ≤ SM for any j. What is the significance of this condition when interpreted in the context of the capital market line? (5) Assume that B = 0.8, μM = 0.1 and r = 0.05. Using the CAPM, determine the expected return from holding one unit of asset j for one period. (2) Given your answer to c.), what could you conclude (from the perspective of the security market line) if a market survey indicated that the forecasted one- period return on asset j was 8 percent? Describe and motivate the rational trading response that is consistent with your conclusion. (4)arrow_forwardConsider the model of Black and Scholes. Consider the cash=or-nothing put option V (T) = 1{S(T)<= K} It pays out one unit of cash if the spot is below the strike at maturity. Evaluate the price of the option.arrow_forward
- Q (a) 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. (b) You find a put and a call with the same exercise price and maturity. What do you know about the relative prices of the put and call? Prove your answer and provide an intuitive explanation. Please explain step by step. I have seen other answers but still very confused.arrow_forwardExplain why the delta hedging of a negative gamma options position loses money.arrow_forwardIn binomial approach of option pricing model, fourth step is to create : a. equalize domain of payoff b. equalize ending price c. riskless investment d. high risky investmentarrow_forward
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