You are given the following information about a portfolio you are to manage. For the long term, you are bullish, but you think the market may fall over the next month $1 million 08 Portfolio Value Portfollo's Beta Current S&P500 Value Anticipated S&P500 Value 4500 4250 If the anticipated market value materialtzes, what will be your expected loss on the portfolio?
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- You are considering investing $10,000 in a risky portfolio. The value of the risky portfolio in a year can be one of the following four scenarios. State probability Portfolio values Best 10% $13,000Good 30%. $11,000Average 40%. $10,500Recess. 20% $8,000 a) Your power utility function has a gamma value of 2. Find your certainty equivalent of the risky investment. b) If you have an opportunity to invest in the risk-free asset yielding a continuously compounding annual rate of 9%, determine your investment choice between the above risky portfolio or the risk-free asset. You must explain why.Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.Consider the following information in Figure 1 below for a portfolio including security A and security B: Figure 1 State of the economy Probability of state of economy Return on A (%) Return on B (%) Boom 0.2 15 5 Growth 0.2 -5 0 Normal 0.5 10 10 Recession 0.1 5 20 If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)? Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.
- You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20% 18% 32% The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5. Does portfolio P have a positive or negative alpha relative to its required return given its level of risk? Would you characterize P as a buy or sell, and why?You are currently long on a portfolio of stocks that has a beta of 1.60. Given recent uncertainties, you intend to reduce the portfolio beta to 1.20. Your portfolio currently worth RM2.8 million and FBM KLCI is at 800 points. Show how the objective can be achieved using SIF contracts.A client of ZBX Financial Planning is considering a shift in her portfolio holdings. Given recent stock market declines she is considering a weight of 75% in QQQ (a Nasdaq index) and the remainder in AGG (a corp bond index). Currently the beta of QQQ is 2.0 and the beta of AGG is 0.6, the overall market index has an expected return of 12%, and the risk-free rate is 4%. (i) What will be the E(R) of the client's portfolio according to the CAPM? (ii) Above we used the CAPM to estimate an expected return of a portfolio. How can the CAPM be useful for the estimation of an investment's NPV?
- You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20% 18% 32% The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5. What is the portfolio P’s beta? Does portfolio P have a positive or negative alpha relative to its required return given its level of risk? Would you characterize P as a buy or sell, and why?You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20% 18% 32% The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5. Is P an efficient portfolio relative to the market?You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2.5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 35% and 65%, respectively. X has an expected rate of return of 21%, and Y has an expected rate of return of 9%. The dollar values of your position in the Tbill would be _________, if you decide to hold a complete portfolio that has an expected return of 11%.
- You have been managing a $5 million portfolio that has a beta of 0.85 and a required rate of return of 5.825%. The current risk-free rate is 2%. Assume that you receive another $500,000. If you invest the money in a stock with a beta of 0.55, what will be the required return on your $5.5 million portfolio? Do not round intermediate calculations. Round your answer to two decimal places. %You want to calculate the 30 Day 95% VaR for the following portfolio. You invest $5 million in the NADAQ composite and short $4 million of Bitcoin. The NASDAQ composite has standard deviation of returns of 15% pa; Bitcoin has standard deviation of returns of 20%. The two assets have a correlation of 0.8. Assuming a 250 day year, what is the 30 day VaR? You have been managing a $5 million portfolio that has a beta of 1.45 and a required rate of return of 12.975%. The current risk-free rate is 5%. Assume that you receive another $500,000. If you invest the money in a stock with a beta of 1.15, what will be the required return on your $5.5 million portfolio? Do not round intermediate calculations. Round your answer to two decimal places as a percent.