Consider the characteristics of the following three stocks: Expected Return Standard Deviation Thumb Devices 17% 25% Air Comfort Sport Garb 15 20 15 22 The correlation between Thumb Devices and Air Comfort is -0.19. The correlation between Thumb Devices and Sport Garb is -0.15. The correlation between Air Comfort and Sport Garb is 0.71. Select only two stocks for your portfolio based on low correlation and low risk. O Air Comfort and Thumb Devices O Air Comfort and Sport Garb O Sport Garb and Thumb Devices
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- (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? Common Stock A Common Stock B Probability Return Probability Return0.20 10% 0.15 -4% 0.60 16% 0.35 7%0.20 21% 0.35 13% 0.15 20% a) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, what is the expected rate of return for stock A? What is the standard deviation? b. Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, what is the expected rate of return for stock B? What is the standard deviation? c. Based on the risk (as measured by the standard deviation) and return of each stock, which…Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?The correlation coefficients between several pairs of stocks are as follows: Corr(A, B) = .85; Corr(A, C) = .60; Corr(A, D) = .45. Each stock has an expected return of 8% and a standard deviation of 20%.17. If your entire portfolio is now composed of stock A and you can add some of only one stock to your portfolio, would you choose (explain your choice):a. Bb. Cc. Dd. Need more data
- Given: Calculate the expected returns and expected standard deviations of a two-stock portfolio having a correlation coefficient of 0.70 under the following conditions a. w1 = 1.00 b. w1 = 0.75 c. w1 = 0.50 d. w1 = 0.25 e. w1 = 0.05 Plot the results on a return-risk graph. Without calculations, draw in what the curve would look like first if the correlation coefficient had been 0.00 and then if it had been −0.70.There are three stocks, A, B, and C, with the following expected return, volatility, and correlation data. You are asked to generate a mean-variance portfolio, the expected return of which should be no less than 8%. What’s your optimal allocation (portfolio weights) for those three stocks? Table 1: Data for Mean-Variance Portfolio Optimization Stock A Stock B Stock C Return 10% 2% 8% Volatility 18% 2% 12% Correlation A B C A 1 -0.2 0.7 B 1 0.1 C 1Give typing answer with explanation and conclusion Assume that two stocks are available. The first stock (Stock A) has an expected return of 25% and a standard deviation of 20%; the second stock (Stock B) has an expected return of 12% and a standard deviation of 10%. If the correlation between the stocks is 0.10, what are the weight of Stock A (WA) and Weight of Stock B(WB) in the minimum-variance portfolio? WA=17.39%, WB=82.61% WA=14.29%, WB=85.71% WA=10.30%, WB=89.70% WA=30.25%, WB=69.75%
- financial advisor evaluates four stocks for inclusion in an investor's portfolio. A orrelation matrix showing each stock's correlation with the other stocks is shown below Stock ALK CMN BTY DLE ALK 0.40 0.58 1.00 -0.25 BTY 0.40 1.00 0.16 -0.04 CMN -.25 .16 1.00 .37 DLE .58 .04 .37 1.00 f the goal is to reduce the investor's overall portfolio risk, which two stocks should the advisor recommend? a. ALK and DLE b. ALK and CMN c. BTY and DLE BTY and CMStock 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.A person is interested in constructing a portfolio. Two stocks are being considered. Letx = percent return for an investment in stock 1, and y = percent return for an investment instock 2. The expected return and variance for stock 1 are e(x) = 8.45% and Var(x) = 25.The expected return and variance for stock 2 are e(y) = 3.20% and Var(y) = 1. Thecovariance between the returns is sxy = −3.a. what is the standard deviation for an investment in stock 1 and for an investment instock 2? Using the standard deviation as a measure of risk, which of these stocks isthe riskier investment?
- Given two stocks with E(r1) = 8%, E(r2) = 10%, σ1 = 15%, σ2 = 20%. Calculate the expectedreturns and standard deviations of a two-stock portfolio under each of the following conditions:(a) w1 = 0.70, w2 = 0.30, ρ = 0.3; (b) w1 = 0.50, w2 = 0.50, ρ = 0; (c) w1 = 0.30, w2 = 0.70, ρ = −0.3. Here wi is the weight of stock i in the portfolio, ρ is the correlation between the two stockreturns.QG. The following information is available about the stocks of two companies A and B: Stock A Stock B Expected Return (%) Probability -5 12 15 20 0.05 0.55 0.35 0.05 Expected Return (%) Probability 5 15 18 20 0.05 0.65 0.20 0.10 Stock Standard Deviation of Returns (%) A B 25 35 The coefficient of correlation between the returns on A and B is 0.05. A portfolio is constructed by allocating the funds between A and B in the ratio of 2:3. Calculate the expected return on the portfolio. b. Calculate the portfolio risk.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. a. 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. The beta of stock A is 1 and the beta of stock B is 1.5. What is the risk premium on the market portfolio, if the CAPM holds ?