You have a portfolio with a standard deviation of 22% and an expected return of 20%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 25% of your money in the new stock and 75% of your money in your existing portfolio, which one should you add? Stock A Stock B Expected Return 16% 16% Standard Deviation 21% 19% Correlation with Your Portfolio's Returns 02 0.7 Standard deviation of the portfolio with stock A is % (Round to two decimal places)
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?You have a portfolio with a standard deviation of 24% and an expected return of 19%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 30% of your money in the new stock and 70% of your money in your existing portfolio, which one should you add? Standard deviation of portfolio with stock A is ? Expected Return Standard Deviation Correlation with Your Portfolio's Returns Stock A 12 % 22 % 0.2 Stock B 12 % 17 % 0.7
- You have a portfolio with a standard deviation of 29% and an expected return of 19%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 20% of your money in the new stock and 80% of your money in your existing portfolio, which one should you add? Expected Return Standard Correlation with Deviation Your Portfolio's Returns Stock A 16% 23% 0.4 Stock B 16% 16% 0.5 Standard deviation of the portfolio with stock A is %. (Round to two decimal places.) Standard deviation of the portfolio with stock B is %. (Round to two decimal places.) Which stock should you add and why? (Select the best choice below.) A. Add B because the portfolio is less risky when B is added. B. Add A since the portfolio is less risky when A is added. C. Add either one because both portfolios are equally risky.You have a portfolio with a standard deviation of 25% and an expected return of 17%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 25% of your money in the new stock and 75% of your money in your existing portfolio, which one should you add? Stock A Stock B Expected Return 16% 16% Standard Deviation 24% 19% Correlation with Your Portfolio's Returns 0.4 0.7 Standard deviation of the portfolio with stock A is%. (Round to two decimal places.)You have a portfolio with a standard deviation of 22% and an expected return of 18%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 30% of your money in the new stock and 70% of your money in your existing portfolio, which one should you add? Stock A Stock B Expected Return 13% 13% Standard Deviation 21% 16% Correlation with Your Portfolio's Returns CO 0.2 0.6 Standard deviation of the portfolio with stock A is%. (Round to two decimal places.) Standard deviation of the portfolio with stock B is%. (Round to two decimal places.) Which stock should you add and why? (Select the best choice below.) OA. Add A because the portfolio is less risky when A is added. B. Add B because the portfolio is less risky when B is added. C. Add either one because both portfolios are equally risky.
- You have a portfolio with a standard deviation of 20% and an expected return of 18%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 30% of your money in the new stock and 70% of your money in your existing portfolio, which one should you add? Stock A Stock B Expected Return 13% 13% Standard Deviation 23% 18% Correlation with Your Portfolio's Returns 0.3 0.7 Standard deviation of the portfolio with stock A is%. (Round to two decimal places.) Standard deviation of the portfolio with stock B is%. (Round to two decimal places.) Which stock should you add and why? (Select the best choice below.) OA. Add B because the portfolio is less risky when B is added. OB. Add A because the portfolio is less risky when A is added. OC. Add either one because both portfolios are equally risky.You have a portfolio with a standard deviation of 23% and an expected return of 15%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 25% of your money in the new stock and 75% of your money in your existing portfolio, which one should you add? Stock A Stock B Expected Return 15% 15% Standard Deviation 24% 20% Standard deviation of the portfolio with stock A is Correlation with Your Portfolio's Returns 0.2 0.6 %. (Round to two decimal places.) %. (Round to two decimal places.) Standard deviation of the portfolio with stock B is Which stock should you add and why? (Select the best choice below.) Text A. Add A because the portfolio is less risky when A is added. B. Add B because the portfolio is less risky when B is added. OC. Add either one because both portfolios are equally risky. NextConsider 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.,…
- c) Stock 1 has a standard deviation of return of 1%. Stock 2 has a standard deviation of return of 8%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results. You decide now to combine your portfolio (discussed in question c) with another portfolio with the same standard deviation and invest equally in both portfolios. The correlation between the two portfolios is zero. d) What is the standard deviation of this new portfolio? Please provide the details of your calculations and discuss your results.c) Stock 1 has a standard deviation of return of 1%. Stock 2 has a standard deviation of return of 8%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results. You decide now to combine your portfolio (discussed in question c) with another portfolio with the same standard deviation and invest equally in both portfolios. The correlation between the two portfolios is zero. d) What is the standard deviation of this new portfolio? Please provide the details of your calculations and discuss your results. e) Did we achieve diversification by combining uncorrelated portfolios with identical levels of risk? Explain.You create a portfolio that invests 60% in stock A with E(rA) = 15%, σA = 10% and 40% in stock B with E(rB) = 10%, σB = 4%. 1. Estimate the expected return of the portfolio. 2. Estimate the standard deviation of the portfolio if the two stocks are uncorrelated. 3. Estimate the standard deviation of the portfolio if the two stocks have correlation 0.5. 4. Estimate the standard deviation of the portfolio if the two stocks are perfectly positively correlated.