Suppose stock returns have a 2-factor structure. You observe a broad stock market portfolio A which earns on average 7.4% and has beta 0.5 on the first factor and beta 0.7 on the second factor; and another broad stock market portfolio B which earns on average 10.6% and has beta 1.2 on the first factor and beta 0.2 on the second factor. The risk free return is 3%. What do you expect to earn from a portfolio with beta 1 on the first factor and zero on the second factor?

Suppose stock returns have a 2-factor structure. You observe a broad stock market portfolio A which earns on average 7.4% and has beta 0.5 on the first factor and beta 0.7 on the second factor; and another broad stock market portfolio B which earns on average 10.6% and has beta 1.2 on the first factor and beta 0.2 on the second factor. The risk free return is 3%. What do you expect to earn from a portfolio with beta 1 on the first factor and zero on the second factor?

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter6: Risk And Return

Section: Chapter Questions

Problem 14P

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Suppose stock returns have a 2-factor structure. You observe a broad stock market portfolio A which earns on average 7.4% and has beta 0.5 on the first factor and beta 0.7 on the second factor; and another broad stock market portfolio B which earns on average 10.6% and has beta 1.2 on the first factor and beta 0.2 on the second factor. The risk free return is 3%. What do you expect to earn from a portfolio with beta 1 on the first factor and zero on the second factor?
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 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.
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 (bA) to beta of B (bB). please show all workings and not merely : Ra = 1/2 rbRf = 1/4 Ra
Questions C and D 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). 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)
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)
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)Question 2. Foreign exchange marketsStatoil, the national…
Questions 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).
Suppose you estimate that the correlation between Abercrombie and Fitch (ANF) stock returns with market portfolio returns is 0.85. You also estimate that ANF's stock return's are twice as variable (σANFσM=2.0). Therefore, what is the the beta for ANF stock (βANF) ?
(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates of return of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?