Portfolio theory with three assetsEstimated covariances between three stocks are shown in the following table. The expected returnsfor the three stocks are 11% (A), 9% (B) and 4% (C), respectivelyABCA0.02250.0030-0.0009B0.00300.0100-0.0012-0.0009-0.00120.0036Note: All returns and covariance matrix are on an annual basisA) Calculate the expected return and standard deviation of the portfolio if it is equally split betweenA and BB) Calculate the expected return and standard deviation of the portfolio if it is equally split betweenA,B and CC) Compare the portfolio in answer (a) and the portfolio in answer (b) using the sharpe ratio.Assuming the current annual risk-free rate is 3%

Calculation for Part AStep 1: Calculate Expected ReturnFor two assets, the expected return of the…

Answered: Portfolio theory with three assets…

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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Similar questions

A portfolio is invested 22 percent in Stock G, 26 percent in Stock J, with remainder in Stock K. The expected returns on these stocks are 8.58 percent, 11.55 percent, and 13.05 percent, respectively. What is the portfolio's expected return? Answer to two decimals.
A portfolio is invested 24 percent in Stock G, 39 percent in Stock J, and 37 percent in Stock K. The expected returns on these stocks are 10.5 percent, 13 percent, and 18 percent, respectively. What is the portfolio's expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Consider the following table which provides a comparison of the returns for a portfolio and its benchmark. Year 0 1 2 3 4 5 Return Alpha Sum Tracking Error Information Ratio Note: the numbers in red are negative b. Calculate the portfolio alpha in percentage terms c. Calculate the tracking error of the portfolio in percentage terms Portfolio Return 16% 9% -35% 22% 84% Required a. Calculate the annualised return of the portfolio and the benchmark in percentage terms d. Calculate the information ratio of the portfolio to 2 decimal places e. Determine to 2 decimal places the amount of Carhart alpha for the portfolio in percentage terms if: o the risk-free rate is 3.25%, o the return of the market is 9.20%, o the exposure to the value factor (when the premium is 3.15%) is 0.65 (ie 65%), o the exposure to the small cap factor (when the premium is 2.05%) is -0.12, and o the exposure to the momentum factor (when the premium is 46%) is 0.1. Benchmark Return 14% 7% -38% 18% 86%
The beta of a portfolio is: A. A measure of the correlation of betas of the securities in the portfolio. B. Always greater than one. C. The market value weighted average beta of the securities in the portfolio. D. The geometric average of the beta of the securities in the portfolio.
If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Op 1.45 1.20 0.75 1.00 Portfolio: X Y Z Market Risk-free Rp 11.00% 10.00 8.10 10.40 5.20 Information ratio Op 33.00% 28.00 18.00 23.00 0 Assume that the tracking error of Portfolio X is 9.10 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. 02148 0
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.)
Portfolio theory with two assets E(R1)=0.15 E(01)= 0.10 W1=0.5 E(R2)=0.20 E(02) = 0.20 W2=0.5 Calculate the expected return and the standard deviation of the two portfolios if r1,2 = 0.4 and -0.60 respectively.
Considering the attached set of securities and portfolio returns: Find the combination of the weights that minimizes CV of the portfolio. How does the CV of the optimal portfolio compare with the CVs of its constituents?
Suppose securities A, B, and C have the following expected return and risk. Stock Expected return Risk A 8% 6% B 7% 9% C 13% 9% What is the coefficient of variation for stock A?
Which of the following measures the total risk of a portfolio? A. Standard Deviation B. Correlation Coefficient C. Beta D. Alpha

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