Taneal is considering investing in one of two portfolios, Portf and bonds and Portfolio B which consists purely of cryptocu following information on the portfolios: State of market Probability Bear Bull Normal 55% 25% 20% Portfolio A 11% 45% 30% Portfolio B 10% 35% 15% a) Calculate the expected returns for both portfolios h) Calculate the standard deviation for portfolio A
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c) Suppose Taneal is considering combining the two portfolios into a single portfolio. If
she invests 60% in Portfolio A and 40% in Portfolio B:
i. Determine the return of the new portfolio
ii. If the standard deviation for portfolio B was 19%, comment on the risk of the new portfolio, supported with calculations.
iii. Should Taneal combine these two portfolios? Why
- Christy is considering investing in the common stock of One Liberty and Heico. The following data are available for these two securities: One Liberty Heico Expected return 0.12 0.16 Standard deviation of returns 0.08 0.20 If she invests 30% of her funds in Heico and 70% in One Liberty, and if the correlation of returns between these securities is +0.65, what is the portfolio's expected return and standard deviation?Jack Ma is attempting to evaluate two possible portfolios – both consisting of the same five assets but held in different proportions. He is particularly interested in using beta to compare the risk of the portfolios and in this regard has gathered the following data. assets assets beta Portfolio A Portfolio B 1 1.30 10% 30% 2 0.70 30% 10% 3 1.25 10% 20% 4 1.10 10% 20% 5 0.90 40% 20% a) Calculate the betas for portfolio A and B. b) Compare the risk of each portfolio to the market as well as to each other C) Which portfolio is more risky and why?Yessy Enterprise Ltd has prepared the following information regarding two investments under consideration. Based on the risk/return profile, which investment should be accepted? Investment A Investment B Probability Return Probability Return 0.15 8% 0.20 1% 0.35 11% 0.30 8% 0.35 19% 0.30 15% 0.15 -2% 0.20 9% Will you change your recommendation (above) if Yessy Enterprise currently holds a portfolio with only five stocks? Why?
- The firm wishes to estimate the beta of a portfolio that consists of two assets X and Y. The investment manager of the firm has gathered the following information on the two assets. Securities Rate of Return Standard Deviation Beta X 20% 20% 1.5 Y 10% 30% 1.0 Risk free asset 5% Calculate: The beta of the portfolio if 75% of the funds are invested in Y and 25% in X The portfolio expected return and the portfolio beta if you invest 35 % in X, 45% in Y and 20 % in the risk-free asset Assuming the CAPM applies, if the market’s expected return is 13 percent, the risk free rate is 8% and stock X’s required rate of return is 16%, what is the stock’s beta coefficient?Rose Berry is attempting to evaluate two possible portfolios, which consist of the same five assets held in different proportions. She is particularly interested in using beta to compare the risks of the portfolios, so she has gathered the data shown in the following table: Portfolio weights Asset Asset beta Portfolio A Portfolio B 1 1.43 15% 20% 2 0.69 40% 5% 3 1.15 10% 35% 4 1.42 5% 20% 5 0.97 30% 20% Totals 100% 100% a. Calculate the betas for portfolios A and B. b. Compare the risks of these portfolios to the market as well as to each other. Which portfolio is more risky?As a fund manager in Bull & Bear Securities, you are given the following information regarding your portfolio. Rate of Return if State Occurs {:[" State of "],[" Economy "]:} {:[" Probability of "],[" State of Economy "]:} Stock A Stock B Stock C Boom .72 .06 .11 .17 Bust .28 .19 -.04 .23 Based on the above information, compute the following: i) The expected return in boom economy for all the three stocks. ii) The expected return in bust economy for all the three stocks. iii) The expected return for the portfolio that invest 30 percent each in A and B and 40 percent in C. iv) The standard
- Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets. E(Rp) 12.00 % Standard Deviation of P 7.20 % T-Bill rate 3.60 % Proportion of Complete Portfolio in P 80 % Proportion of Complete Portfolio in T-Bills 20 % Composition of P: Stock A 40.00 % Stock B 25.00 % Stock C 35.00 % Total 100.00 % What are the proportions of stocks A, B, and C, respectively, in Bo's complete portfolio? A. 40%, 25%, 35% B. 8%, 5%, 7% C. 20%, 12.5%, 17.5% D. 32%, 20%, 28% E. 16%, 10%, 14%JJ is a risk-averse investor, she cannot decide whether to invest in stock A or Stock B or in a portfolio that is a combination of both stocks. He has approached the bank and the company has provided her with the following information Probability (%) Expected return (%) Stock A Expected return (%) Stock B 30 13 15 20 14 13 20 15 12 30 16 11 Using these stocks, he has identified two investment portfolio alternatives: Alternative Portfolio 1 100% of A 2 30% of A and 60% of B Calculation the portfolio return and standard deviation for each alternativeThe UIB company desires to construct a portfolio with 15% expected return. The portfolio is to consist of some combination of security X and security Y, which have the following expected returns, standard deviations of returns, Security X Security Y Market Risk free rate Expected return 8% 19% 13% 2% Standard deviations 6% 15% 4% Beta 0.94 1.5 1. Determine the beta of the portfolio2. Should UIB invest in the portfolio. Justify.3. Compute the correlation between security Y and the market portfolio.
- Elsi is a risk-averse investor. She has invested 60% of her investment in share A and all the remainder in share B. Below are projections for the shares as well as the market. A B Market Expected return (%) 10 30 20 Standard deviation (%) 40 70 30 Correlations A 1 B 0.2 1 Market 0.3 0.68 1 Construct a portfolio for Elsi. The portfolio will consist of shares A and B and have the same level of systematic risk as the market. i)What will be the expected return and standard deviation of returns on the portfolio?The following portfolios are being considered for investment. During the period under consideration, RFR =0.07 Porfolio Return Beta P 0.15 1.00 0.05 Q 0.20 1.50 0.1 R 0.10 0.60 0.03 S 0.17 1.10 0.06 Market 0.13 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio Compute the Treynor measure for each portfolio and the market portfolio Rank the portfolios using each measure explaining the cause for any differences you find in the rankings.You form a complete portfolio by investing 30% of your portfolio in a risky portfolio that has an expected rate of return of 9% and a standard deviation of 19%, and the rest in T-bill with a 2% rate. What is the standard deviation of your complete portfolio? Enter your answer as a decimal number, rounded to three decimal places.