A stock has a beta of 1.38 and an expected return of 13.6 percent. A risk-free asset currently earns 4.7 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If a portfolio of the two assets has a beta of .98, what are the portfolio weights? Note: Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616. c. If a portfolio of the two assets has an expected return of 12.8 percent, what is its beta? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. d. If a portfolio of the two assets has a beta of 2.58, what are the portfolio weights? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.

A stock has a beta of 1.38 and an expected return of 13.6 percent. A risk-free asset currently earns 4.7 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If a portfolio of the two assets has a beta of .98, what are the portfolio weights? Note: Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616. c. If a portfolio of the two assets has an expected return of 12.8 percent, what is its beta? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. d. If a portfolio of the two assets has a beta of 2.58, what are the portfolio weights? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Parts A-C have already been answered, looking for answer D.
The index model has been estimated for stocks A and B with the following results: RA 0.01 +0.5RM + A RB = 0.02 +1.3RM + eB standard deviation of the market is 0.25, standard deviation of eA is 0.2 and standard deviation of eB is 0.10 What is the covariance betwween the returns on stocks A and B?.
Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, B, for Stock B (A = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 20.90%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. III. If Stock B is less highly correlated with…
The index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA. If σM = 0.25 and R2A = 0.25, the standard deviation of return of stock A is:
A stock has a correlation with the market of 0.4. If the Sharpe ratio of the market portfolio is 0.7, what is the Sharpe ratio of the stock? (Hint: algebraically manipulate the SML equation.) 0.28 0.75C. 0.60D. 0.55
Assume that you are considering investing in two risky assets, namely PKX and XIY, with the following probability distribution. Assume that short selling is allowed. Stock РКХ XIY State of the world Probability Return (%) Return (%) 1 0.25 18 2 0.30 5 -3 3 0.20 12 15 4 0.10 4 12 0.15 6 1 1. Calculate the expected return and risk for each of these assets. Interpret. 2. Consider a portfolio that contains PKX and XIY. Note that XIY comprises 30% of the portfolio. What is the expected return and risk of this portfolio? 3. How will your answer in (2) change if XIY comprises 20% of the portfolio only? Comment on your findings.
If a stock's expected return plots on or above the SML, then the stock's return is SML, the stock's return is to compensate the investor for risk. cent to compensate the investor for risk. If a stock's expected return plots below the The SML line can change due to expected Inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in the composition of its assets and through changes in the amount of debt it uses. Quantitative Problem: You are given the following information for Wine and Cork Enterprises (WCE): Tar 4%; 10 % ; RPM 6%, and beta - 1.1 What is WCE's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. -75 % If inflation…
he covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks A
You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.16 and the total portfolio is equally as risky as the market. What must the beta be for the other stock in your portfolio? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Beta
Calculate the standard deviation of a portfolio with 0.24 invested in Asset A, 0.33 invested in Asset B, and the rest invested in Asset C. Express your answer as a decimal with four digits after the decimal point (e.g., 0.1234, not 12,34%). Std Dev(A) = 0.43, Std Devirg) = 0.67. Std Dev(rc)=0.53 Correlation(A) =-0.24, Correlation(Arc)-0.32, Correlationirere)=0.09 Type your answer.....
Assume that you formed a portfolio of three stocks, X, Y, and Z. The stock X's beta is 1.5, stock Y's beta is 2, and stock Z's beta is 0.5. If the weight of your wealth invested in stock X is 0.4, the weight invested in stock Y is 0.2, find the portfolio's beta.

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