Suppose Johnson & Johnson and Walgreen Boots Alliance have expected returns and volatilities shown here, with a correlation of 20%. Calculate (a) the expected return and (b) the volatility (standa deviation) of a portfolio that consists of a long position of $10,000 in Johnson & Johnson and a short position of $1,500 in Walgreens. a. Calculate the expected return. The expected return is %. (Round to two decimal place.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Expected Return 7.2% 10.7% Johnson & Johnson Walgreens Boots Alliance Standard Deviation 14.8% 21.3% - X

Suppose Johnson & Johnson and Walgreen Boots Alliance have expected returns and volatilities shown here, with a correlation of 20%. Calculate (a) the expected return and (b) the volatility (standa deviation) of a portfolio that consists of a long position of $10,000 in Johnson & Johnson and a short position of $1,500 in Walgreens. a. Calculate the expected return. The expected return is %. (Round to two decimal place.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Expected Return 7.2% 10.7% Johnson & Johnson Walgreens Boots Alliance Standard Deviation 14.8% 21.3% - X

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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a. Given the following holding-period returns, LOADING... , compute the average returns and the standard deviations for the Zemin Corporation and for the market. b. If Zemin's beta is 1.87 and the risk-free rate is 6 percent, what would be an expected return for an investor owning Zemin? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Zemin's historical average return compare with the return you believe you should expect based on the capital asset pricing model and the firm's systematic risk? Month Zemin Corp. Market 1 5 % 6 % 2 2 1 3 2 0 4 −4 −1 5 4 3 6 3 4
Stock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. 1.Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. 2. Determine the expected return and the s.d. of portfolio P1, composed by investing 30% in stock A and 70% in stock B. 3. Consider stock C that has expected return 15% and s.d. 15%. Stock C is uncorrelated with either stock A and stock B. Determine the expected return and s.d. of portfolio P2 made by investing 50% in stock C and 50% in portfolio P1.
Suppose there is a risk-free asset whose return is 2% and that the market portfolio has an expected return of 10%. The standard deviation of the market portfolio is given 25%.(a) Find the security market line.(b) Suppose there is an asset whose covariance with the market is given by 450%^2. Find its equilibrium price according to CAPM.
b) You are given the following information about Stock X and the market: The annual effective risk-frec rate is 5%. The expected return and volatility for Stock X and the market are shown in the table below: Expected Return Volatility Stock X 5% 40% Market 8% 25% The correlation between the returns of stock X and the market is -0.25. Assume the Capital Asset Pricing Model holds. Calculate the required return for Stock X and determine if the investor should invest in Stock X.
Consider a CAPM economy. The risk free rate (rf ) is 4% and the expected market return (rM )is 10%. (a) Stock 1: β = 0.90. Compute the expected return of stock 1. (b) Stock 2: β = 1.1. Compute the expected return of stock 2. (c) Portfolio 1: The proportions invested in stock 1, stock 2, and risk free asset are 30%, 30%,and 40%, respectively. Compute the beta and expected return of portfolio 1. (d) Portfolio 2: The proportions invested in stock 1, stock 2, and risk free asset are 50%, 60%,and -10%, respectively. Compute the beta and expected return of portfolio 2.
Suppose Johnson & Johnson and Walgreen Boots Alliance have expected returns and volatilities shown here, with a correlation of 20%. Calculate a. the expected return and b. the volatility(standard deviation) of a portfolio that consists of a long position of $12,000 in Johnson & Johnson and a short position of $2,000 in Walgreens. Expected Return Standard Deviation Johnson & Johnson 7.7% 16.5% Walgreens 9.4% 19.2%
Assume that the risk-free rate, RF, is currently 9% and that the market return, rm, is currently 16%. a. Calculate the market risk premium. b. Given the previous data, calculate the required return on asset A having a beta of 0.4 and asset B having a beta of 1.8.
Suppose there is a risk-free asset whose return is 2% and that the market portfolio has an expected return of 10%. The standard deviation of the market portfolio is given 25% 1). Consider an asset that currently sells for $30 and has βi = 0.6. Suppose the asset pays a dividend of $1.5 and the expected price at the end of the period is $30.5. Calcuate the α of this asset. Is it over- or underpriced?2). Consider an asset with βi = 1.25 and expected return of 11%. Can an investor use this asset to make a risk-free profit through arbitrage? Explain your answer
The following data have been developed for Ding Corp. State Market Return 1 2 3 4 Probability 0.10 0.30 0.40 0.20 -0.12 0.03 0.10 0.20 Company Return -0.24 0.00 0.15 0.50 Assume that the risk-free rate is 3%. The covariance between Ding and the Market portfolio is 0.018408. Find the required rate of return for Ding Corp using the Capital Asset Pricing Model (CAPM).
. Assume that the Capital Asset Pricing Model holds. The market portfolio has an expected return of 5%. Stock A’s return has a market beta of 1.5, an expected value of 7% and a standard deviation of 10%. Stock B’s return has a market beta of 0.5 and a standard deviation of 20%. The correlation coefficient between stock A’s and stock B’s returns is 0.5. What is the risk-free rate? What is the expected return on stock B?
Suppose the CAPM is true. Consider two assets, X and Y, and the market M. Suppose cov(X,M) = .3, cov(Y,M) = .5. %3D (a) Is the expected return higher on X or Y? (b) Suppose var(M) = 1.5, what are the betas of X and Y? (c) Suppose the expected market return is 20% and the risk free rate is 5%, what is the expected returns of X and Y?. (d) Given your analysis in (a)-(c), what type of investor would prefer asset X to asset Y?
Suppose the total risk of Portfolios A, B and C are 49% ², 64%² and 100% ² respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?

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