Corporate Finance
12th Edition
ISBN: 9781259918940
Author: Ross, Stephen A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 12, Problem 4QAP
Summary Introduction
Adequate information:
Beta 1 of Stock A
Beta 2 of Stock A
Beta 3 of Stock A
Beta 1 of Stock B
Beta 2 of Stock B
Beta 3 of Stock B
Beta 1 of Stock C
Beta 2 of Stock C
Beta 3 of Stock C
Risk premium of Stock A
Risk premium of Stock B
Risk premium of Stock C
Weight of Stock A
Weight of Stock B
Weight of Stock C
Risk-free rate
To compute: Return on portfolio
Introduction: Portfolio return refers to the return that is anticipated on the portfolio as a whole including all the securities.
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Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A to beta of B.
Suppose Stock A has B = 1 and an expected
return of 11%. Stock B has a B = 1.5. The risk-
free rate is 5%. Also consider that the
covariance between B and the market is 0.135.
Assume the CAPM is true. Answer the following
questions:
a) Calculate the expected return on share B.
b) Find the equation of the Capital Market Line
(CML).
c) Build a portfolio Q with B = 0 using actions A
and B. Indicate weights (interpret your result)
and expected return of portfolio Q.
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) = ???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)
Chapter 12 Solutions
Corporate Finance
Ch. 12 - Prob. 1CQCh. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Market Model versus APT What are the differences...Ch. 12 - APT In contrast to the CAPM, the APT does not...Ch. 12 - CAPM versus APT What is the relationship between...Ch. 12 - Prob. 8CQCh. 12 - Data Mining What is data mining? Why might it...Ch. 12 - Prob. 10CQ
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