The following are estimates for two stocks. Firm- Specific Standard Deviation 34% 44 Expected Stock Return A B 8% 17 Stock A Stock B T-bills Beta 0.90 1.45 The market index has a standard deviation of 22% and the risk-free rate is 10%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: 0.40 0.40 0.20 Compute the expected return, beta, nonsystematic standard deviation, and standard deviation of the portfolio.
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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?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-specificThe following are estimates for two stocks. Expected Return Stock A B 0.16 0.19 Beta 0.84 1.23 firm-specific Standard Deviation 0.27 0.38 The market index has a standard deviation of 0.21 and the risk-free rate is 0.03. Suppose that we were to construct a portfolio with proportions: Stock A 0.34 Stock B 0.44 The remaining proportion is invested in Tbills Compute the standard deviation of the portfolio. Round your answer to 4 decimal places. For example if your answer is 3.205%, then please write down 0.0321.
- The following are estimates for two stocks. Firm- Specific Expected Standard Stock Return Beta Deviation A 14% 0.90 30% B 21 1.40 42 The market index has a standard deviation of 20% and the risk-free rate is 7%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Stock A Stock B T-bills 0.30 0.45 0.25 Compute the expected return, beta, nonsystematic standard deviation, and standard deviation of the portfolio.2. Suppose that the market model for stocks A and B is estimated with the following results: RA = 1% +0.9*RM+EA RB = -2% + 1.1*RM+EB The standard deviation of the markets returns is 20% and firm specific risk (standard deviation) equals 30% for A and 10% for B. a. Compute the risk (standard deviation) of each stock and the covariance between them. Suppose we form an equally weighted portfolio of stocks A and B. What will be the nonsystematic standard deviation of that portfolio? b.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?
- Suppose 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.) CovarianceThe following are estimates for two stocks. Stock Expected Return Beta Firm-Specific Standard Deviation A 12 0.85 32% B 18 1.40 48% The market index has a standard deviation of 22% and the risk-free rate is 11%. a. What are the standard deviations of stocks A and B? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Suppose that we were to construct a portfolio with proportions: Stock A 0.35 Stock B 0.40 T-bills 0.25 Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio. (Do not round intermediate calculations. Enter your answer for Beta as a number, not a percent. Round your answers to 2 decimal places.)In the CML graph below, MVE refers to the market portfolio, and A, B, C are three stocks. Assume that all assets are priced correctly under the CAPM. What is the beta and systematic variance of stock B? Expected Return [E] 35% 30% 25% 20% 15% 10% 5% OE. 0% 0% Select one: O A. 1, 0.04 O B. 1, 0.16 O C. O D. 10% MVE CML (Capital Market Line) 20% A 30% Standard Deviation [SD(r)] 1.5, 0.09 1, 0.4 Cannot be determined from the information given C B 40% 50% 60%
- 3. Consider three stocks A, B and C and a market index M with the following prices: Year TO T1 T2 T3 A 85 108 110 125 B 12 14 13 15 C 50 60 70 75 M 1128 1435 1578 1786 The risk-free rate equals 4%. a. Compute the expected return and risk on each stock and the market index. b. Construct the matrix of variances and covariances between these assets. c. Construct the matrix of the correlation coefficients. d. Compute the beta coefficients of these companies and the expected return at equilibrium. e. Construct the minimum risk portfolio P1 composed of A and C. Compute the expected return and risk on this portfolio. f. Construct a portfolio P2 composed of A, B and C in proportions of 20%, 30% and 50%. Compute the expected return and risk on this portfolio. What is the contribution of each security to the return and risk pf this portfolio? g. Construct an equally weighted portfolio P3 composed of A, B, C and the risk-free rate. Compute the beta coefficient and position this portfolio with…The following are estimates for two stocks. Stock A B Expected Return 10% 18 Stock A Stock B T-bills Beta 0.70 1.25 The market index has a standard deviation of 22% and the risk-free rate is 7%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: 0.35 0.35 0.30 Stock A Stock B Firm- Specific Standard Deviation 28% 42 Compute the expected return, beta, nonsystematic standard deviation, and standard deviation of the portfolio. Complete this question by entering your answers in the tabs below. Required A Required B What are the standard deviations of stocks A and B? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. % %Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)