An investor with a risk aversion of 3.5 can buy a risk-free asset with an expected return of 3% and risky asset with an expected return of 25% and a standard deviation of 50%. What will be the expected return of the complete portfolio?
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- You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?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.
- An investor can design a complete portfolio based on a risky portfolio and a risk-free asset. The risky portfolio has an expected return of 10% and a standard deviation of 20%. Risk-free rate is 5%. If the investment weight on the risky portfolio is 70% and the weight on the risk-free asset is 30%, what is expected return and standard deviation of the complete portfolio?Suppose you have $2,000 to invest. The market portfolio has an expected return of 10.5 percent and a standard deviation of 16 percent. The risk-free rate is 3.75 percent. How much should you invest in the risk-free asset if you wish to have a 15 percent return on the portfolio?Suppose that you have $1 million and the following two opportunities from which to construct a portfolio:a. Risk-free asset earning 12% per year.b. Risky asset with expected return of 30% per year and standard deviation of 40%.If you construct a portfolio with a standard deviation of 30%, what is its expected rate of return?
- Suppose you have $20,000 available to invest and the risk-free rate, as well as your borrowing rate, is 3%, and the expected return on the risky portfolio is 12%. The standard deviation of the risky portfolio is 18%. If you construct a complete portfolio with an expected return of 9%, the standard deviation of your portfolio is _______%.An investor invests 60% of his wealth in a risky asset which has an expected return of 15% and a variance of 4% and 40% of his wealth in a risk-free security that pays 6% return. What is the expected return and standard deviation of the portfolio? A. 0% and 12.0%, respectively B. 6% and 8.0%, respectively C. 6% and 10.0%, respectively D. 4% and 12.0%, respectivelyYou invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a T-bill with a rate of return of 0.045. 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 0.08? Group of answer choices 50.5% and 49.50% 61.9% and 38.1% 30.1% and 69.9% 60.0% and 40.0% Cannot be determined.
- The market portfolio has an expected return of 11.5 percent and a standard deviation of 19 percent. The risk-free rate is 4.1 percent. **You are required to calculate any extra information i.e. beta, covariance if necessary Calculate the expected return on well-diversified portfolio with a standard deviation of 9 percent; and the standard deviation of a well-diversified portfolio if the expected return is 20 percent.You 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?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 percent