a) What are the standard deviations of stocks A and B? b) Suppose we build a portfolio with the following weights: 50% in stock A, 40% in stock B, and 10% in risk- free T-bills. Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio

a) What are the standard deviations of stocks A and B? b) Suppose we build a portfolio with the following weights: 50% in stock A, 40% in stock B, and 10% in risk- free T-bills. Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio

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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Expected return of a portfolio using beta. The beta of four stocks-P, Q, R, and S-are 0.59, 0.89, 1.05, and 1.31, respectively and the beta of portfolio 1 is 0.96, the beta of portfolio 2 is 0.87, and the beta of portfolio 3 is 1.05. What are the expected returns of each of the four individual assets and the three portfolios if the current SML is plotted with an intercept of 4.5% (risk-free rate) and a market premium of 12.0% (slope of the line)? ..... What is the expected return of stock P? % (Round to two decimal places.)
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. Information ratio
Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 16.0%. Stock B has an expected return of 11% and a standard deviation of return of 4%. The correlation coefficient between the returns of A and B is 0.50. The risk-free rate of return is 7%. The proportion of the optimal risky portfolio that should be invested in stock A is __________.
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:
Use the expected return-beta equation from the CAPM. What is the expected return for a stock if the risk-free rate is 4%, beta 0.9 and the expected return for the market portfolio is 6%? What is the risk-free rate if beta is 1.1, the expected return 6.3% and the expected return for the market portfolio is 6%? What is beta if the risk-free rate is 4%, the expected return 11% and the expected return for the market is 6%? What is the expected return for the market if the risk-free rate is 4%, beta 0.9 and the expected return 11%?
Suppose the risk free return is 6%. The beta of a managed portfolio is 1.5, the alpha is 3%, and the average return is 18%. Based on Jensen's measure of portfolio performance, you would calculate the return on the market portfolio as ___ % ?
Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom.13.02.32.50 Normal.55.10.22.20 Bust .32.16.21.35 If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio's expected return, the variance, and the standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., 16161. Enter your other answers as a percent rounded to 2 decimal places, e. g., 32.16. If the expected T-bill rate is 4.25 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.
Suppose the risk-free return is 2% and the return on the market is 10%. The beta of a managed portfolio is 1.5, and the average realized return is 13%. According to the CAPM, Jensen’s alpha of the managed portfolio is: A) –1% B) 0% C) 1% D) 2% E) none of the above
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Rp X 15.0% Y 14.0 Z 9.0 Market 10.3 Risk-free 4.2 op 32% 27 17 22 0 Portfolio X Y Z Market 6p 1.40 1.10 0.75 1.00 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Leave your ratio answers as a decimal rounded to 5 places (e.g., 0.23546). Enter your alpha answers as a percent rounded to 2 decimal places (e.g., 0.22%).) Sharpe Ratio Treynor Ratio Jensen's Alpha % % % %
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Rp op Bp X 14.0% 31% 1.35 Y 13.0 26 1.10 Z 7.0 14 .75 Market 10.2 19 1.00 Risk-free 6.0 0 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) Sharpe Ratio Treynor Ratio Jensen's Alpha Portfolio X % Y % Z % Market %
The risk-free rate is 3 percent. Also, the expected return on the market portfolio is 10.5 percent.a. Calculate the expected return of your portfolio. (Hint: The expected return of a portfolio equals the weighted average of the individual stocks" expected returns, where the weights are the percentage invested in each stock.)b. Calculate the portfolio beta.c. Given the preceding information, plot the security market line on paper. Plot the stocks from your portfolio on your graph.d. From your plot in part c, which stocks appear to be your winners, and which ones appear to be your losers?e. Why should you consider your conclusion in part d to be less than certain?

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