A portfolio analyst has been asked to allocate investment funds among three different stocks. The relevant data for the stocks is shown in the following table. If the goal is to maximize return while maintaining risk within acceptable bounds (in this case, a portfolio standard deviation of no more than 20%), find the proper allocation of the funds to each stock. Return Risk (Standard Deviation Stock (R) A 20% to S) 25% Pair of Stocks Joint Risk (Covariance) A to B 0.05 B 10% 12% A to C 0.075 C 15% 10% B to C -0.05 What proportion of the portfolio should be allocated to stock]B?
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- 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?As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U): Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 If the risk-free rate (RFR) is 3.9% and the expected market risk premium (ie., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ. 3.b. Decide which fund is overvalued, undervalued or properly valued and explain why?Two investments, X and Y, have the characteristics shown below. E(X) = $70, E(Y)3D$120, o =7,000, a = 14,000, and ory =7,500 If the weight of portfolio assets assigned to investment X is 0.3, compute the a. portfolio expected return and b. portfolio risk. a. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio expected retum is $ (Type an integer or a decimal.) b. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio risk is approximately $. (Round to two decimal places as needed.)
- As a portfolio manager, you are required to take investment decision from the following two alternative scenarios: (Decision Criterion: Select a portfolio on relative risk basis) Scenario 1: Construct a portfolio with 60% investment in ICC: Expected Return (in %) Risk (as Std Div.) Covariance BPL 12 4 BPL & ICC: -1.2 ICC 7 2 Scenario 2: Construct equal weighted portfolios from following securities Expected Return (in %) Risk (as Std Div.) Covariance PSL 11 5 PSL & IPL: 3.75 IPL 8 3As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U): Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 3.b. Decide which fund is overvalued, undervalued or properly valued and explain why?As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U): Fund T Fund U Forecasted Return 9.0% 10.0 CAPM Beta 1.20 0.80 a) If the risk-free rate is 3.9 % and the expected market risk premium is 6.1%, calculate the expected return for each mutual fund according to the CAPM. b) Using the estimated expected returns from Part a along with your own return forecasts, explain whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. Are Funds T and U overvalued, undervalued, or properly valued?
- If a given stock in the portfolio had established 1.23 beta; the related expected return is at 11.7percent, and 3.5percent is the current earning of a risk-free asset; a. Determine the expected return on a portfolio that is equally invested in the two assets? b. If a portfolio of the two assets has a beta of 0.7, what are the portfolio weights? c. If a portfolio of the two assets has an expected return of 9%, what is its beta? d. If a portfolio of the two assets has a beta of 2.46, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Discuss.A fund manager can invest in any combination of the three assets with the following expected returns and standard deviations: Asset 1: r1 = 2%, σ1 = 2% Asset 2: r2 = 6%, σ2 = 6% Asset 3: r3 = 4%, σ3 = 4% All three assets returns are uncorrelated: p12 = p13 =p 23 = 0 . Find a portfolio consisting of these three assets that achieves an expected return of 4% with the lowest risk possible. Show all steps.As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U}: Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 a. If the risk-free rate is 3.9 percent and the expected market risk premium (£(RM) -RFR} is 6.1 percent, calculate the expected return for each mutual fund according to the CAPM. b. Using the estimated expected returns from part (a) along with your own return forecasts, demonstrate whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. c. According to your analysis, are Funds T and U overvalued, undervalued, or properly valued?
- The following portfolios are being considered for investment. During the period under consideration, RFR = 0.08. Portfolio Return Beta σi P 0.14 1.00 0.05 Q 0.20 1.30 0.11 R 0.10 0.60 0.03 S 0.17 1.20 0.06 Market 0.12 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R S Market Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R S MarketYou are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. Information ratioA 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?