EBK CORPORATE FINANCE
EBK CORPORATE FINANCE
4th Edition
ISBN: 8220103164535
Author: 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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The market portfolio (M) has the expected rate of return E(rM) = 0.12. Security A is traded in the market. We know that E(rA) = 0.17 and βA = 1.5. (1) What is the rate of return of the risk-free asset (rf)? (2) Security B is also traded in the market. βB = 0.8. Then what is “fair” expected rate of return of security B according to the CAPM? (3) Security C is a third security traded in the market. βC = 0.6, and from the market price, investors calculate E(rC) = 0.1. Is C overpriced or underpriced? What is αC?
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.
1. Suppose there are three complex securities and three different states as follows: Security So S₁(1) S₁ (2) S₁ (3) 1.2 3 0 0 1.8 4 2 0 1.2 2 1 1 2 10 4 A B C D (a) Find the arbitrage-free price of asset D. (b) What is the risk-free return compatible with these asset prices?

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EBK CORPORATE FINANCE

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