Assume a risk-free rate of 10%, borrowing rate of 15%, risky asset return of 10%, and standard deviation of 20% for the risky asset returns. Sketch a graph of the CAL. Label axes. At what level of risk aversion (A), would an investor choose to borrow.
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Assume a risk-free rate of 10%, borrowing rate of 15%, risky asset return of 10%, and standard deviation of 20% for the risky asset returns. Sketch a graph of the CAL. Label axes. At what level of risk aversion (A), would an investor choose to borrow.
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- You have invested $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a T-bill with a rate of return of 0.04. What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.11? What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a portfolio with a standard deviation of 0.20? Calculate the slope of CAL. If the degree of risk aversion A=4, what proportion of the money should be invested in risky asset. Sub Parts to be solvedYou have invested $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a T-bill with a rate of return of 0.04. What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.11? What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a portfolio with a standard deviation of 0.20? Calculate the slope of CAL. If the degree of risk aversion A=4, what proportion of the money should be invested in risky asset.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.
- 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 an FI holds two loans with the following characteristics. Annual Spread Between Loss to FI Expected Loan Rate and FI=s Annual Given Default Loan Xi Cost of Funds Fees Default Frequency 1 .6 4.5% 2.5% 30% 3% ρ12 = -.4 2 .4 3.5% 2% 20% 5% Calculate of the return and risk on the two-asset portfolio using KMV Portfolio Manager.Consider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions State Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Consider the portfolio with 50% investment in each of the two assets above. Calculatethe expected return and the standard deviation of the portfolio.
- There are two risky assets, debt and equity. The expected return is 8% on the debt and 13% on the equity. The standard deviation is 12% for the debt and 20% for the equity. The correlation coefficient between the debt return and the equity return is 30%. a. If an investor invest 40% of her money in the debt and 60% in the equity, what is the expected return and the standard deviation on her portfolio? b. The risk-free rate is 4%. What are the weights of the debt and equity in the optimal portfolio? A. 50.8% B. 48.7% C. 40.4% D. 30.6%An investor invests 30 percent of his wealth in a risky asset with an expected rate of return of 0.14 and a standard deviation of .35 and 70 percent in a T-bill that pays 3 percent. His portfolio's expected return and standard deviation are __________ and __________, respectively. Please show the formulaYou are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 12 percent and 15 percent, respectively. The standard deviations of the assets are 29 percent and 48 percent, respectively. The correlation between the two assets is .25 and the risk-free rate is 5 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent?
- Assuming a risk-free rate of 8 percent and a market return of 12 percent, would it be wise for investors to acquire an asset with a Beta of 1.5 and a rate of return of 14 percent given the facts above?The risk-free rate of return is 6 per cent. The market rate of return is 12 per cent with a standard deviation of 8 per cent. If you desire to earn a rate of return of 10 per cent, in what proportion should you hold market portfolio and the risk-free assetYou are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets:Portfolio Expected Return Standard DeviationQ 7.8% 10.5%R 10.0 14.0S 4.6 5.0T 11.7 18.5U 6.2 7.5a. For each portfolio, calculate the risk premium per unit of risk that you expect to receive ([E(R) − RFR]/σ). Assume that the risk-free rate is 3.0 percent.b. Using your computations in Part a, explain which of these five portfolios is most likely tobe the market portfolio. Use your calculations to draw the capital market line (CML).c. If you are only willing to make an investment with σ = 7.0%, is it possible for you toearn a return of 7.0 percent?d. What is the minimum level of risk that would be necessary for an investment to earn7.0 percent? What is the composition of the portfolio along the CML that will generatethat expected return?e. Suppose you are now willing to make an investment…