Suppose you have a portfolio worth $10000. Assuming normally distributed portfolio returns, calculate the 5% Dollar VaR for the portfolio if the expected return is 24 % and variance 22 % .
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- Suppose the risk-free rate is 5.1 percent and the market portfolio has an expected return of 11.8 percent. The market portfolio has a variance of .0472. Portfolio Z has a correlation coefficient with the market of .37 and a variance of .3375 According to the capital asset pricing model, what is the expected return on Portfolio Z?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 _______%.You are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows; What is the expected return of this portfolio? Calculate the beta coefficient of the 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?What is the expected return of a portfolio that has $8,000 invested in S and $2,000 invested in T? The risk-free rate is 6% and the market portfolio's return is 14%. Do you expect the investment to be a good one for the coming year if betas for the two portfolio components are 0.6 and 1.3, respectively?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?
- Assume the riskless rate of interest is 2% per year, and the expected rate of return on the market portfolio is 8% per year. According to the CAPM, what is the efficient way for an investor to achieve an expected rate of return of 5% per year? If the standard deviation of the rate of return on the market portfolio is 4%, what is the standard deviation of the portfolio producing the 5% expected return? • Plot the CML and locate the foregoing portfolios on the same graph. • Plot the SML and locate the foregoing portfolios on the same graph.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 manage a risky portfolio containing 25% of Stock A, 32% of Stock B and 43% of Stock C, respectively, with expected rate of return of 18% and standard deviation of 28%. The Tbill rate is 8%. Draw the Capital Allocation Line (CAL) of your portfolio on an expected returnstandard deviation diagram. What is the slope of the CAL? Suppose that the client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. Show the position of your client on your fund’s CAL. What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund?
- You are going to invest $20,000 in a portfolio consisting of assets X, Y, and Z, as follows: Asset Annual Return Probability Beta Proportion X 10% 0.50 1.2 0.333 Y 8% 0.25 1.6 0.333 Z 16% 0.25 2.0 0.333 Given the information in Table 5.2, The beta of the portfolio in Table 8.2, containing assets X, Y, and Z is ________. Select one: a. 1.6 b. 2.0 c. 1.5 d. 2.4Fremont Enterprises has an expected return of 14% and Laurelhurst News has an expected return of 19%. If you put 44% of your portfolio in Laurelhurst and 56% in Fremont, what is the expected return of your portfolio? The expected return on the portfolio is \%. (Rounded to two decimal places.)Security F has an expected return of 10 percent and a standard deviation of 43 percent per year. Security G has an expected return of 15 percent and a standard deviation of 62 percent per year. Required: (a) What is the expected return on a portfolio composed of 30 percent of Security F and 70 percent of Security G? (b) If the correlation between the returns of Security F and Security G is .25, what is the standard deviation of the portfolio described in part (a)?