Your client has a risk aversion of A = 3 when applied to return on wealth over a 1 year horizon. She is looking at two portfolios: The S&P 500 with a Risk Premium of 8% and a standard Deviation of 20%. A Hedge Fund with a Risk Premium of 12% and a standard Deviation of 35% There is an annual correlation of .6200 Use this data for problems #12 - #16 Fund S&P 500 Hedge Correlation Risk Aversion A Risk Premium 0.0800 0.1200 0.6200 3.00 What is the standard deviation of this Portfolio? STDEV 0.2000 0.3500
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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?What makes for a good investment? Use the approximate yield formula or a financial calculator to rank the following investments according to their expected returns. Buy a stock for $30 a share, hold it for three years, and then sell it for $60 a share (the stock pays annual dividends of $2 a share). Buy a security for $40, hold it for two years, and then sell it for $100 (current income on this security is zero). Buy a one-year, 5 percent note for $1,000 (assume that the note has a $1,000 par value and that it will be held to maturity).Your client has decided that the risk of the bond portfolio is acceptable and wishes to leave it as it is. Now your client has asked you to use historical returns to estimate the standard deviation of Blandy’s stock returns. (Note: Many analysts use 4 to 5 years of monthly returns to estimate risk, and many use 52 weeks of weekly returns; some even use a year or less of daily returns. For the sake of simplicity, use Blandy’s 10 annual returns.)
- Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the TSX/S&P Composite Index and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The TSX/S&P Composite Index risk premium is estimated at 5% per year, with a standard deviation of 20%. The hedge fund risk premium is estimated at 10% with a standard deviation of 35%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the TSX/S&P Composite Index and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal…Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 6% per year, with a standard deviation of 18%. The hedge fund risk premium is estimated at 10% with a standard deviation of 33%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. Calculate Greta's capital allocation using an annual correlation of 0.3. (Do not round your intermediate calculations. Round your answers to 2 decimal places.) S&P = Hedge =…Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 6% per year, with a standard deviation of 18%. The hedge fund risk premium is estimated at 10% with a standard deviation of 33%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. Calculate Greta's capital allocation using an annual correlation of 0.3. S&P = Hedge = Risk-free asset =
- You create a portfolio consisting of $23000 invested in a mutual fund with beta of 1.3, $25000 invested in Treasury Securities (assume risk-free), and $12000 invested in an index fund tracking the market. According to surveys, the expected market risk premium is 6.6%, risk free rate is 1.3%. What is the expected return of this portfolio according to CAPM? Answer in percent, rounded to one decimal place.Greta has risk aversion of A = 5 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a standard deviation of 14%. The hedge fund risk premium is estimated at 10% with a standard deviation of 29%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. What should be Greta's capital allocation? (Do not round your intermediate calculations. Round your answers to 2 decimal places.) S&P = Hedge = Risk-free asset =Greta has risk aversion of A = 3 and a 1 - year investment horizon. She is pondering twoportfolios, the S&P 500 and a hedge fund, as well as a number of 1 - year strategies. (Allrates are annual and continuously compounded.) The S&P 500 risk premium is estimated at9% per year, with a standard deviation of 23 % . The hedge fund risk premium is estimatedat 11% with a standard deviation of 38% . The returns on both of these portfolios in anyparticular year are uncorrelated with its own returns in other years. They are alsouncorrelated with the returns of the other portfolio in other years. The hedge fund claims thecorrelation coefficient between the annual return on the S&P 500 and the hedge fund returnin the same year is zero, but Greta is not fully convinced by this claim. Required: a-1.Assuming the correlation between the annual returns on the two portfolios is indeed zero,what would be the optimal asset allocation? a-2. What is the expected risk premium on theportfolio?…
- You create a portfolio consisting of $23000 invested in a mutual fund with beta of 1.3, $25000 invested in Treasury Securities (assume risk-free), and $12000 invested in an index fund tracking the market. According to surveys, the expected market risk premium is 6.6%, Risk-free rate is 1.3%. What is the expected return of this portfolio according to CAPM?A company's fund manager has a P20,000,000 portfolio with a beta of 0.75. The risk-free rate is 4.50% and the market risk premium is 5.00%.The manager expects to receive an additional P30,000,000, which she plans to invest in several stocks. After investing the additional funds, she wants the fund's required return to be 9.50%. 1. What is the required rate of return on the initial P20M investment? 2. What is the rate of return of all risky and risk-free securities? 3. To achieve the fund manager’s required return target, the funds should be invested in an investment with a beta of 4. Judge the overall riskiness of the P50M portfolio A. Aggressive B. Neutral C. ConservativeA fund manager has a well-diversified portfolio that mirrors the performance of the S&P 500and is worth $240 million. The value of the S&P 500 is 4,800, and the portfolio manager wouldlike to obtain insurance against a reduction of more than 3% in the value of the portfolio over thenext four months. The risk-free interest rate is 6% per annum. The dividend yield on both theportfolio and the S&P 500 is 4%, and the volatility of the index is 35% per annum. What amount(in dollars) of the portfolio should be sold and kept in risk-free securities for portfolio insurance?