Corporate Finance
Corporate Finance
12th Edition
ISBN: 9781259918940
Author: Ross, Stephen A.
Publisher: Mcgraw-hill Education,
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Chapter 12, Problem 6QAP

a

Summary Introduction

Adequate information:

Expected return of Stock A ERA = 10.5%

Expected return of Stock B ERB = 13%

Expected return of Stock C ERC = 15.7%

Expected return of the market ERM = 14.2%

Beta of Stock A βA = 1.20

Beta of Stock B βB = 0.98

Beta of Stock C βC = 1.37

Beta of the market βM = 1

To compute: Market model equation for each stock.

Introduction: The market model equation for a stock is a mathematical equation consisting of the expected return, beta, market return, expected market return, and the unsystematic risk of the stock.

b

Summary Introduction

Adequate information:

Weight of Stock A WA = 30%

Weight of Stock B WB = 45%

Weight of Stock C WC = 25%

To compute: Return on the portfolio

Introduction: The return on portfolio refers to the weighted average return on each of the stocks in the investment portfolio.

c

Summary Introduction

Adequate information:

Return on the market RM = 15%

To compute: Return on each stock and portfolio

Introduction: The return on portfolio refers to the return on each of the stocks proportionately as per their weightage in the portfolio.

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Question 1 Suppose you have the following expectations about the market condition and the returns on Stocks X and Y.   Market Condition Probability Return on Stock X Return on Stock Y Bear Market 0.3 -3% -5% Normal Market 0.5 3% 5% Bull Market 0.2 8% 15%   a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)? b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?
Question: 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. (Please show workings clearly)
Questions C and D is required.    c) 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 (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 pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i ( , where are standard deviations of asset i and market portfolio, is the correlation between asset i and the market portfolio)
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