* A nces The expected return on Big Time Toys is 12% and its standard deviation is 21.6%. The expected return on Chemical Industries is 9% and its standard deviation is 27.4%. a. Suppose the correlation coefficient for the two stocks' returns is 0.28. What are the expected return and standard deviation of a portfolio with 53% invested in Big Time Toys and the rest in Chemical Industries? (Round your answers to 2 decimal places.) Portfolio's expected return Portfolio's standard deviation b. If the correlation coefficient is 0.78, recalculate the portfolio expected return and standard deviation, assuming the portfolio weights are unchanged. (Round your answers to 2 decimal places.) Portfolio's expected return Portfolio's standard deviation c. Why is there a slight difference between the results, when the correlation coefficient was 0.28 and when it was 0.78? The higher the correlation is between the two variables, the less the potential is for diversification. V

* A nces The expected return on Big Time Toys is 12% and its standard deviation is 21.6%. The expected return on Chemical Industries is 9% and its standard deviation is 27.4%. a. Suppose the correlation coefficient for the two stocks' returns is 0.28. What are the expected return and standard deviation of a portfolio with 53% invested in Big Time Toys and the rest in Chemical Industries? (Round your answers to 2 decimal places.) Portfolio's expected return Portfolio's standard deviation b. If the correlation coefficient is 0.78, recalculate the portfolio expected return and standard deviation, assuming the portfolio weights are unchanged. (Round your answers to 2 decimal places.) Portfolio's expected return Portfolio's standard deviation c. Why is there a slight difference between the results, when the correlation coefficient was 0.28 and when it was 0.78? The higher the correlation is between the two variables, the less the potential is for diversification. V

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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K -61 =1 2 N (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Probability 0.25 0.50 0.25 Common Stock A Probability 0.25 0.25 0.25 0.25 (Click on the icon in order to copy its contents into a spreadsheet.) @ 2 a. Given the information in the table, the expected rate of return for stock A is 16.25 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.) b. The expected rate of return for stock B is%. (Round to two decimal places.) The standard deviation for stock B is%. (Round to two decimal places.) c. Based on the risk (as measured by the standard deviation) and return of each stock, which investment is better? (Select the best choice below.) 30² F2 W OA. Stock A is better because it has a higher expected rate of return with less risk B. Stock B is…
Here are some historical data on the risk characteristics of Ford and Harley Davidson. Ford Harley Davidson β (beta) 1.43 0.75 Yearly standard deviation of return (%) 33.3 16.9 Assume the standard deviation of the return on the market was 12.0%. a. The correlation coefficient of Ford’s return versus Harley Davidson is 0.38. What is the standard deviation of a portfolio invested half in each share? b. What is the standard deviation of a portfolio invested one-third in Ford, one-third in Harley Davidson, and one-third in risk-free Treasury bills? c. What is the standard deviation if the portfolio is split evenly between Ford and Harley Davidson and is financed at 50% margin, that is, the investor puts up only 50% of the total amount and borrows the balance from the broker? d-1. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.43 like Ford? d-2. What is the approximate standard deviation of a portfolio composed of…
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA - 2.60 + 0.90RM + CA Rg- -2.00 + 1.20RM + eg OM- 26, R-equarea 0.21; R-squaren 0.12 Assume you create portfolio Pwith investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfollo? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Standard deviation b. What is the beta of your portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Portfolio beta c. What is the firm-specific variance of your portfolio? (Do not round your intermediate calculations. Round your answer to 4 decimal places.) Firm-specific
Suppose we form a portfolio invested in Mercedes and BMW stocks. The two stocks are equally weighted in the portfolio. The table below displays each stock’s mean return, variance, and standard deviation, as well as their covariance. Estimate the mean and variance of this portfolio, as well as its standard deviation. Show in detail your Asset returns Mercedes BMW Mean return 1.78% -0.48% Variance 0.0456 0.0276 Standard deviation 21.35% 16.61% Covariance 0.0020
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Suppose there are two independent economic factors, M₁ and M₂. The risk-free rate is 6%, and all stocks have independent firm- specific components with a standard deviation of 46%. Portfolios A and B are both well diversified. Portfolio A Beta on M₁ 1.5 2.0 Beta on My 2.1 -0.6 Required: What is the expected return-beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return-beta relationship E(rp) = Expected Return (%) 36 14 45 60 Answer is not complete. Bp1 Bp2
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1. A stock has a beta of 1.15 and an expected return of 14 percent. A risk-free asset Currently earns 4.2 percent. a . What is expected return on a portfolio that is equally in inverted assets? b. if portfolio of the two assets has beta of 75, what are the portfolio weights? C. if a portfolio of the two assets has an expected return of 8 percent .what is its beta? the two
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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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