Consider the following expected returns, volatilities, and correlations: Stock Duke Energy Microsoft Wal-Mart Expected Standard Correlation with Correlation with Correlation with Return Duke Energy Deviation 14% 6% 44% 24% 23% 14% 1.0 -1.0 0.0 Microsoft -1.0 1.0 0.7 Wal-Mart 0.0 0.7 1.0 Consider a portfolio consisting of only Duke Energy and Microsoft. What is the percentage of your investment (portfolio weight) that you would place in Duke Energy stock to achieve a risk-free investment. b) What are the expected return and volatility of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft? c) What are the expected return and volatility of a portfolio that has $3000 invested in Duke Energy, $4000 invested in Microsoft, and $3000 invested in Walmart stock?

Consider the following expected returns, volatilities, and correlations: Stock Duke Energy Microsoft Wal-Mart Expected Standard Correlation with Correlation with Correlation with Return Duke Energy Deviation 14% 6% 44% 24% 23% 14% 1.0 -1.0 0.0 Microsoft -1.0 1.0 0.7 Wal-Mart 0.0 0.7 1.0 Consider a portfolio consisting of only Duke Energy and Microsoft. What is the percentage of your investment (portfolio weight) that you would place in Duke Energy stock to achieve a risk-free investment. b) What are the expected return and volatility of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft? c) What are the expected return and volatility of a portfolio that has $3000 invested in Duke Energy, $4000 invested in Microsoft, and $3000 invested in Walmart stock?

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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Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.
Consider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom.25.13.29.60 Normal .60.08.11.13 Bust.15.02.18-.45 a-1. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e .g., 32.16.) c-1. If the expected inflation rate is 3.30…
USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Investment Beta Analyst's Estimated Return Stock X 2.3 15.5% Stock Y 1.2 13.6% Market Portfolio 1.0 11.5% Risk-free rate 4.0% What is the required rate of return for Stock X based on the capital asset pricing model (CAPM)?
Portfolio manager wants to optimize the riskiness of the two assets portfolio with the given statistics below:- Assets Return Volatility Weight A 17.00% 15.00% 40.00% B 21.00% 25.00% 60.00% Correlation -0.70 -0.35 0.25 0.50 0.70 Requirements Calculate the two assets portfolio standard deviation at different correlation levels which are mentioned above and suggest at which correlation is best suits to your portfolio.
Suppose Johnson & Johnson and the Walgreen Company have the expected returns and volatilities shown below, with a correlation of 22.4%. Johnson & Johnson Walgreen Company E [R] 6.5% 10.7% SD [R] 15.5% 19.9% For a portfolio that is equally invested in Johnson & Johnson's and Walgreen's stock, calculate: a. The expected return. b. The volatility (standard deviation). a. The expected return. The expected return of the portfolio is %. (Round to one decimal place.)
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
Suppose a portfolio is given as follows: Investment Name ABC Corn Mill X-Treme Manufacturing b.) 3.6% Ob.) none listed a.) none listed a.) 4.5% a.) 4% b.) 4% b.) 3.4% Weight a.) 5% 0.4 0.6 a.) What is the expected return of the portfolio? b.) What is the standard deviation of the portfolio if the correlation is +0.4? Select the most appropriate responses below for parts a.) and b.). Expected Return 2% 7% Standard Deviation 2% 5%
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
Vijay
You are currently considering in investing Rs.1.2 million in equity investment portfolio. Your analysis reveals that equity stock of the following three companies are suitable options for your investment. Company P R Expected retum (%) Standard deviation (%) Correlation coefficient; 25 22 20 30 26 24 PQ QR -0.5 +0.4 PR +0.6 You are required to; (a) Calculate the expected returm of the portfolio if Rs.1.2 million is equally invested in the stocks of all three companies.
The expected returns of a portfolio are influenced by several factors that investors should consider whenconstructing and managing their investment portfolios. discussesthe factors that affect expected returns of a portfolio.
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.

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