Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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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 between Stock 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? (Please show work)
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- Find risk free rate and expected return of market portfolio based on the following information - Company A stock - expected return = 14%, beta = 1.2 Company B stock - expected return = 20%, beta = 2.4 Alphas of both stocks are 0, and there is no abnormal return. Find risk free rate and expected return of market portfolio. Use two equations.arrow_forwardSuppose that the index model for stocks A and B is estimated from excess returns with the following results: RA 3.60% +1.20RM + еA RB -1.60% + 1.50RM + еB OM = 16%; R-squareд = 0.25; R-squareB = 0.15 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfolio? (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 d. What is the covariance between the portfolio and the market index? (Do not round your intermediate calculations. Round your answer to 3 decimal places.) Covariancearrow_forward(c) how can you find the minimum variance portfolio? Show the method and provide the weightsarrow_forward
- Consider two high-risk stocks, X and Y. The expected return on stock Y is 16%, with a standard deviation of 13%. The expected return on stock X is 20%, with a standard deviation of 25%. The correlation between the returns of X and Y is + 0.3. What is the expected return and standard deviation of 40% of Y investment and 60% of the portfolio of X investment?arrow_forwardUSE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset (A) Asset (B) E(RA)=10% E(RB) = 15% (σA)=8% (GB) = 9.5% WA = 0.25 WB = 0.75 COVA.B = 0.006 What is the standard deviation of this portfolio? O 13.75% O 8.79% O 12.5% O 7.72%arrow_forwardA portfolio manager creates the following portfolio: Security Security Weight Expected Standard Deviation 1 0.25 0.55 2 0.75 0.36 If the correlation of returns between the two securities is -0.10, the standard deviation of the portfolio is closest to 44%. 97%. 05%. 12%.arrow_forward
- 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 1arrow_forwardConsider the following two portfolios. Portfolio A has an expected return of 9%, a standard deviation of returns is 32%, and a beta of 1.5. Portfolio B has an expected return of 7.5%. The risk-free rate is 3%. Assuming the CAPM holds, and Portfolio A and B are fairly priced, then Portfolio B has a beta of? a. 0.61 ○ b. 0.98 ○ c. 1.13 ○ d. 1.09 ○ e. 1.18arrow_forwardShow detailed steps to solve the following question. Consider a portfolio comprised of three securities in the following proportions and with the indicated security beta. a.) What is the portfolios beta? b.) Wht is the portfolios expected return?arrow_forward
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