Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
11th Edition
ISBN: 9780077861759
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 12, Problem 5QP
Summary Introduction
To determine: The Risk Premium for each factor.
Introduction:
Expected Return is the method of finding the average anticipated probability of several diverse interest rates that are probable on a particular asset. The issues in such persistence comprise of dissimilar
It is also termed as the beta coefficient; it is a method for deciding on the requirement on security or stock that may move in contrast with the market. Risk-free Rate is the he optimal rate on an investment that can be attained deprived of acquiring any risk whereby the stockholder is guaranteed of getting both original principal and a marginal profit during the specified time period. Market Risk Premium is the estimated by initially discovering the expected
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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.
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)
The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium.
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True
False
Chapter 12 Solutions
Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
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
Ch. 12 - Prob. 1QPCh. 12 - Factor Models Suppose a three-factor model is...Ch. 12 - Prob. 3QPCh. 12 - Multifactor Models Suppose stock returns can be...Ch. 12 - Prob. 5QPCh. 12 - Market Model The following three stocks are...Ch. 12 - Prob. 7QPCh. 12 - Prob. 8QPCh. 12 - APT Assume that the following market model...Ch. 12 - Prob. 10QP
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- 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)arrow_forwardrisk premium (RP) expected return on a portfolio,r^P realized rate of return, r¨ diversification correlation coefficient, ρρ firm-specific (diversifiable) risk market (nondiversifiable) risk relevant risk beta coefficient, ββ capital asset pricing model (CAPM) security market line (SML) market risk premium (RPM) equilibrium Define all termsarrow_forwardAssume 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)arrow_forward
- two-security portfolio, depends upon the The diversification of unsystema Tisk, using a AB. The correlation is done through calculation of correlation coefficient of two securities (PA correlation that exists between the returns of those two securities. The quantification of value of correlation ranges between -1 to 1; it can be interpreted as follows: If PAB= 1, No unsystematic risk can be diversified. If PAB If PAR= 0, No correlation exists between the returns of Security A and Security B. Illustration 12: The returns of Security of Wipro and Security of Infosys for the past six years are given below: Year 2003 2004 2005 2006 2007 = -1, All unsystematic risks can be diversified. Security of Wipro Return (%) 9 5 3 12 16 Calculate the risk and return of portfolio consisting. Security of Infosys Return (%) 10 -6 12 9 15arrow_forwardAssume 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)Question 2. Foreign exchange marketsStatoil, the national…arrow_forwardQuestions C is required. Thank you.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).arrow_forward
- Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.arrow_forwardThe additional return over the risk-free rate needed to compensate investors for assuming an average amount of risk. a. Market Risk Premium b. Risk-free rate С. Stock's beta O d. Security Market Line e. Required Return on Stockarrow_forwardConsider an economy with just two assets. The details of these are given below. Number of Shares Price Expected Return Standard Deviation A 100 1.5 15 15 B 150 2 12 9 The correlation coefficient between the returns on the two assets is 1=3 and there is also a risk-free asset. Assume the CAPM model is satisfied. (1) What is the expected rate of return on the market portfolio? (2) What is the standard deviation of the market portfolio? (3) What is the beta of stock A? (4) What is the risk-free rate of return?arrow_forward
- Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof 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).arrow_forwardAssume 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 (bA) to beta of B (bB). (please show all workings)arrow_forwardAssume 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-fourthof 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).arrow_forward
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