An investor wants to design a complete portfolio with an expected rate of return of 15% from two risky and one risk-free assets. The first risky asset has an expected return of 13% and a standard deviation of return of 20%. The second risky asset has an expected return of 7% and a standard deviation of return of 5%. The correlation coefficient between the returns of the two risky assets is 0.40. The risk-free rate of return is 1%. What is the allocation of the investor’s money across these three assets?
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- There are two risky assets and a riskfree asset. The riskfree rate is 0.03. The first risky asset has expected rate of return 0.18 and standard deviation 0.3; the second risky asset 0.09 and 0.2. Their correlation is 0.1. A portfolio on the best feasible CAL has an expected return of 0.12. Then this portfolio's portfolio weight on the first risky asset is 0%. (Enter a percentage number and keep 3 decimal places).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?You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 13 percent and 16 percent, respectively. The standard deviations of the assets are 39 percent and 47 percent, respectively. The correlation between the two assets is 61 and the risk-free rate is 5.3 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 1 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.) Sharpe ratio Smallest expected loss %
- You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 9 percent and 14 percent, respectively. The standard deviations of the assets are 25 percent and 33 percent, respectively. The correlation between the two assets is .33 and the risk - free rate is 4.2 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? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.)Asset A offers an expected rate of return of 25%, with a standard deviation of 20%. Asset B offers an expected return of 15% with a standard deviation of 30%. The risk-free asset offers 5%. Suppose that the correlation coefficient between asset A and asset B equals 1. Please specify the portfolio weight on asset A in the optimal risky portfolio. Your answer should be a entered as a decimal rounded to two decimal places, e.g., enter 63% as 0.63.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 investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?Assume a Portfolio of two assets A and B whose standard deviations of their returns are 8.6% and 10.8% respectively, while their correlation coefficient of returns is Pas= - 0.61. You are given the right to do portfolio optimization without restrictions. What proportions would you choose and why?A portfolio that combines the risk-free asset and the market portfolio has an expected return of 6.2 percent and a standard deviation of 9.2 percent. The risk-free rate is 3.2 percent, and the expected return on the market portfolio is 11.2 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .37 correlation with the market portfolio and a standard deviation of 54.2 percent? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
- An investor wishes to contruct a portfolio consisting of security 1 and security 2. the expected return on the two securities are E(R1) = 0.08 And E(R2) = 0.12 and the standard deviation 1 = 0.04 and Standard deviation 2 = 0.06. the correlation coefficient between thier returns is P1,2 = -0.5. Investor is free to choose the investment proportions W1 And W2 only to requirment that w1+w2=1 and both w1 and w2 are positive.There is no limit to the number of portfolios that meet thses requirements, since there is no limit to the number of proportions that sum to 1. Therefore a representative selection of values is considered w1: 0, 0.2, 0.4, 0.6, 0.8, and 13. Asset 1 has an expected return of 10% with a standard deviation of 25%, and asset 2 has an expected return of 15% and a standard deviation of 35%. The covariance between the returns is 0.0175 and the risk-free rate is 8%. (a) What is the optimal portfolio consisting of risky assets and risk-free asset if you want an average return of 0.10? Answer. (b) Can you find a portfolio consisting of risky and risk-free assets with average return of 0.10 and variance of return 0.009? Why or why not? Answer.A two-asset portfolio has the following characteristics. The correlation coefficient between the returns of the two assets is +0.1. Asset Expected Return Expected Standard Deviation Weight A 12% 3% 0.8 B 20% 7% 0.2 Calculate the expected return and the risk (i.e. standard deviation) of this two-asset portfolio. Comment on the risk of this portfolio relative to the two individual assets. Suppose the correlation coefficient between A and B was -1.0. How can an investor obtain a zero risk portfolio consisting of A and B?