Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
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 3.A, Problem A.2P

Suppose security Chas a payoff of $600 when the economy is weak and $1800 when the economy is strong. The risk-free interest rate is 4%.

  1. a. Security C has the same payoffs as which portfolio of the securities A and B in Problem A. 1?
  2. b. What is the no-arbitrage price of security C?
  3. c. What is the expected return of security C if both states are equally likely? What is its risk premium?
  4. d. What is the difference between the return of security C when the economy is strong and when it is weak?
  5. e. If security C had a risk premium of 10%, what arbitrage opportunity would be available?
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Students have asked these similar questions
a) Suppose the risk-free rate is 7% and the expected rate of return on the market portfolio is 10%. In your view, the expected rate of return of a security is 12.2%. Given that this security has a beta of 1.4, do you consider it to be overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model? Please provide the details of your calculations b) explain when a security is overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model.
Suppose you observe the following situation: Security Beta Expected Return Peat Company 1.70 13.60 Re - Peat Company 0.85 10.80 Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? What is the risk - free rate?
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 (ie. riskless profit).  Assume the interest rate r=0 so present value calculations are unnecessary.

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