Suppose there are three assets: A, B, and C. Asset A’s expected return and standard deviation are 1 percent and 1 percent. Asset B has the same expected return and standard deviation as Asset A. However, the correlation coefficient of Assets A and B is −0.25. Asset C’s return is independent of the other two assets. The expected return and standard deviation of Asset C are 0.5 percent and 1 percent. (a) Find a portfolio of the three assets that has the smallest variance among all portfolios that yields the expected return of 0.9 percent. (b) Find a portfolio of the three assets that has the smallest variance among all portfolios that yields the expected return of rp percent. Find the variance of the portfolio. (c) Suppose the risk-free rate is zero. Find the tangency portfolio. (d) Suppose an investor’s mean-variance utility function is E(r) − 0.005 · A · σ 2 , where A = 500. Find the investor’s optimal portfolio of the three risky assets and the risk-free asset.
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Suppose there are three assets: A, B, and C. Asset A’s expected return and standard deviation are 1 percent and 1 percent. Asset B has the same expected return and standard deviation as Asset A. However, the correlation coefficient of Assets A and B is −0
3. Consider Table 3 Table 3 Stock Expected Return 10% 5% Standard Deviation 12% 8% Correlation Coefficient 0.40 (a) Consider Table 3. Compute the expected return and standard deviation of return of an equally-weighted portfolio of stocks A and B (b) Consider Table 3. Solve for the composition, expected return and standard deviation of the minimum variance portfolio (c) Consider Table 3. Sketch the set of portfolios comprised of stocks A and B (d) Consider Table 3. Suppose that a...
There are three assets, A, B and C, where A is the market portfolio and C is the risk-free asset. The return on the market has a mean of 12% and a standard deviation of 20%. The risk-free asset yields a return of 4%. Asset B is a risky asset whose return has a standard deviation of 40% and a market beta of 1. Assume that the CAPM holds. Compute the expected return of asset B and its covariances with...
3. Consider Table 2. Table 2 Stock Expected Return 2 12% 6% Standard Deviation 20% 10% 0.20 Correlation Coefficient (a) Consider Table 2. Compute the expected return and standard deviation of return of an equally-weighted (b) Consider Table 2. Solve for the composition, expected return and standard deviation of the minimum (c) Consider Table 2. Sketch the set of portfolios comprised of stocks 1 and 2. Be sure to include the portfolios (d) Consider Table 2. Suppose that a risk-free...
Portfolio 1- calculate the expected return, variance and standard deviation of asset A 4.8%, Asset B 0.75%, Asset C 17.5 and 20.2 and risk free asset F. Note: there is also a risk free asset F whos expected return is 9.9% I WA TISK and fetui11 man those that are provided in the article. The table below gives information on three risky assets: A, B, and C. Correlations Asset Expected return Standard Deviation of the Return B C 0.4 0.15...
Question 8 and 9 Consider the following three assets: Asset A's expected return is 5% and return standard deviation is 25% Asset B's expected return is 8% and return standard deviation is 32%. . Asset C is a risk-free asset with 2% return The correlation between assets A and B is-0.3 8. Constructing a portfolio from assets A and B such that the expected return of the portfolio equals 3%, find the portfolio weights of assets A and B and...
Asset K has an expected return of 10 percent and a standard deviation of 28 percent. Asset L has an expected return of 7 percent and a standard deviation of 18 percent. The correlation between the assets is 0.40. What are the expected return and standard deviation of the minimum variance portfolio?
Consider two assets A and B. Each has the same expected return. Suppose that the variance of the return on A is 49 and the variance of the return on asset B is 100. The returns on the two assets are correlated with a correlation coefficient of .4. If an investor wants to hold a portfolio of the two assets that has the smallest variance of its return, what fraction of the investor’s wealth should be in asset A? How...
Suppose a risk-free asset has a 5 percent return and a second asset has an expected return of 13 percent with a standard deviation of 23 percent. A portfolio consisting 10 percent of the risk-free asset and 90 percent of the second asset. What is the Sharpe ratio of this portfolio?
Asset K has an expected return of 16 percent and a standard deviation of 35 percent. Asset L has an expected return of 10 percent and a standard deviation of 16 percent. The correlation between the assets is 0.58. What are the expected return and standard deviation of the minimum variance portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected return Standard deviation
2. Consider the information in Table1. Table 1 Standard Deviation of Stock Stock Correlation with Market Portfolio 0.75 0.20 Stock 20% 15% 14% 0% 49% ected Market Return Risk Free Rate Return (a) Consider Table 1 . Calculate betas for Stock 1, Stock 2, and a portfolio consisting of 75% invested in Stock 1 and (b) Consider Table 1. Compute the equilibrium expected return according to the CAPM for Stock 1, Stock 2, and the (c) Consider Table 1 and...