and bonds and Portfolio B which consists purely of cryptoc following information on the portfolios: State of market Probability Bear Bull Normal 55% 25% 20% Portfolio Portfolio A B 11% 10% 45% 35% 30% 15%
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a) Calculate the expected returns for both portfolios
b) Calculate the standard deviation for portfolio A.
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Solved in 2 steps
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?
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- 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%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?The following data are available to you as portfolio manager: Security Estimated return (%) Beta A 40 3.0 B 35 2.5 C 30 1.0 D 17.5 1.8 E 20.0 1.5 Market Index 25 2.0 Government Security 17 0 In terms of the security market line, which of the securities listed above are underpriced? Assuming that a portfolio is constructed using equal proportions of the five securities listed above, calculate the expected return and risk of such a portfolio
- 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?Rachel is a financial investor who actively buys and sells in the securities market. Now she has a portfolio of all blue chips, including: $13,500 of Share A, $7,600 of Share B, $14,700 of Share C, and $5,500 of Share D. (a) Compute the weights of the assets in Rachel’s portfolio?(b) Find the geometric average return (c)Find the risk free rate of return (d)Find the expected rate of return of the portfolioJJ 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 alternative
- Assume that when investing in the risky portfolio, the investor must choose between just two risky assets: an equity fund and a corporate bond fund. The equity fund has an expected return of 35% and a standard deviation of 28%. The corporate bond fund has an expected return of 15% and a standard deviation of 15%. The equity fund and the corporate bond fund returns have a correlation of 0.30. The treasury bill rate is 6%. Suppose that the investor invests 61.31% of his allocation to the risky portfolio in the equity fund, and therefore 38.69% to the corporate bond fund. Assume that theses weights correspond to those of the optimal risky portfolio". Assume that the investor's risk aversion coefficient (A) equals 7.00. What is the composition of, expected return and standard deviation of the optimal risky portfolio?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?Kelly has investments with the following characteristics in her portfolio: Investment in Beta Amount invested Stock Q 1.5 $80,000 Stock R 2.0 $50,000 Stock S 0.85 $70,000 Given the risk free rate of 2% and the market return of 7%, what is the expected rate of return of Kelly’s investment 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?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 standardIn addition to risk free securities, you are currently invested in the Tanglewood Fund, a broad-based fund of stocks and other securities with an expected return of 14% and a volatility of 24%. Currently, the risk-free rate of interest is 3%. Your broker suggests that you add a venture capital fund to your current portfolio. The venture capital fund has an expected return of 20%, a volatility of 79%, and a correlation of 0.2 with the Tanglewood Fund, Assume you follow your broker's advice and put 50% of your money in the venture fund: a. What is the Sharpe ratio of the Tanglewood Fund? b What is the Sharpe ratio of your new portfolio?c. What is the optimal Sharpe ratio you can obtain by investing in the venture fund? (Hint: Use Excel and tourid your answer to three decimal places.)