1. The risk-free rate is equal to 1%. The tangency portfolio has a Sharpe Ratio of 0.75. Tracy holds a portfolio with an expected return of 12.17%.The portfolio has 50 % in the risk-free asset and the rest in the tangency portfolio. The standard deviation of the tangency portfolio is --_%. Answers must be entered with 2 decimal places and no dollar signs, e.g. 6 as 6.00; 32.346 as 32.35.
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- Consider a position consisting of a K200,000 investment in Asset A and a K300,000 investment in Asset B. Assume that the daily volatilities of the assets are 1.5% and 1.8% respectively, and that the coefficient of correlation between their returns is 0.4. What is the five day 95% Value at Risk (VaR) for the portfolio (95% confidence level represents 1.65 standard deviations on the left side of a normal distribution)?Suppose that the S&P 500, with a beta of 1.0, has an expected return of 14% and T-bills provide a risk-free return of 5%. a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0? (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.) b. How does expected return vary with beta? (Do not round intermediate calculations.)The Treasury bill rate is 6%, and the expected return on the market portfolio is 10%. According to the capital asset pricing model: a. What is the risk premium on the market? b. What is the required return on an investment with a beta of 1.4? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) c. If an investment with a beta of 0.8 offers an expected return of 9.0%, does it have a positive or negative NPV? d. If the market expects a return of 11.0% from stock X, what is its beta? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
- The Treasury bill rate is 3%, and the expected return on the market portfolio is 14%. According to the capital asset pricing model: a. What is the risk premium on the market?b. What is the required return on an investment with a beta of 1.8? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.)c. If an investment with a beta of 0.8 offers an expected return of 8.2%, does it have a positive or negative NPV?d. If the market expects a return of 12.9% from stock X, what is its beta? (Do not round intermediate calculations. Round your answer to 2 decimal places.)A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent.The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. Compute and justify the expected rate of return would a security earn if it had a 0.45 correlation with the market portfolio and a standard deviation of 55 percent.Assume that both portfolios A and B are well diversified, that E(rA) = 20% and E(rB) = 15%. If the economy has only one factor, and BetaA = 1.3, whereas BetaB = 0.8, what must be the risk-free rate (write as percentage, rounded to two decimal places)?
- Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percentYou are given the following information concerning Cabinet Co., NewClear Co and the market. Bear Market Normal Market Bull Market Probability 0.2 0.5 0.3 Cabinet Co. -20% 18% 50% NewClear Co. -15% 20% 10% Assume that: 1. Of your R10,000 portfolio, you invest R9,000 in Cabinet Co. and R1,000 in NewClear Co. 2. NewClear and Cabinet are perfectly negatively correlated. What is the expected return and standard deviation on your portfolio?A portfolio that combines the risk-free asset and the market portfolio has an expected return of 6.4 percent and a standard deviation of 9.4 percent. The risk-free rate is 3.4 percent, and the expected return on the market portfolio is 11.4 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .39 correlation with the market portfolio and a standard deviation of 54.4 percent? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
- The risk-free rate is 5% and the expected rate of return on the market portfolio is 12%. a. Calculate the required rate of return on a security with a beta of 1.64. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)Suppose that borrowing is restricted so that the zero-beta version of the CAPM holds. The expected return on the market portfolio is 14%, and on the zero-beta portfolio it is 6%. What is the expected return on a portfolio with a beta of 0.8? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0? How does expected return vary with beta?