A complete portfolio with an expected return of 12% is composed of Treasury bills and a risky portfolio P of two stocks, X and Y. The weight of Xin P is 40%. The T-bill rate is 5%, while the expected returns of X and Y are 18% and 25%, respectively. What is the weight of T-bills in the complete portfolio? 39.7% 43.3% 51.8% 59.3%
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- Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.Suppose the total risk of Portfolios A, B and C are 49% ², 64%² and 100% ² respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?Suppose you have a portfolio consisting of two assets, A and B. Stock A has an expected return of 14% and a standard deviation of 31%. Stock B has an expected return of 10% and a standard deviation of 15%. Stocks A and B have a correlation of 0.98. Assuming you invest $7,000 in stock A and $3,000 in stock B, what is the standard deviation of your portfolio? 35.1% 19.4% 26.1% 14.1%
- A portfolio is invested 25 percent in Stock G, 40 percent in Stock J, and 35 percent in Stock K. The expected returns on these stocks are 8.5 percent, 11 percent, and 16.4 percent, respectively. What is the portfolio's expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return %To A portfolio has a standard deviation of 2.9% and a Sharpe ratio of 4.7. If treasury bills currently pay 2.3%, what is the portfolio's return? a. 12.2% b. 19.0% 15.9% d. 10.1% 79An 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?
- 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.A portfolio has a total return of 4.5%, a standard deviation of 40%, and a beta of 0.5. The market rate of return is 12%, the standard deviation is 20%, and the market's Treynor measure is 0.10. What is the value of the Treynor measure of this portfolio? What is the information ratio of this portfolio? O a. 5%, -0.065 O b. 5%, 0.065 O c. 9%, 0.167 O d. 5%, -0.167A portfolio is invested 22 percent in Stock G, 37 percent in Stock J, and 41 percent in Stock K. The expected returns on these stocks are 9.5 percent, 12 percent, and 17.4 percent, respectively. What is the portfolio’s expected return?
- A portfolio is invested 15 percent in Stock G, 55 percent in Stock J, and 30 percent in Stock K. The expected returns on these stocks are 11 percent, 16 percent, and 29 percent, respectively. What is the portfolio's expected return? Multiple Choice 19.92% 19.15% 20.11% 14.93%A portfolio has a total return of 4.5%, a standard deviation of 40%, and a beta of 0.5. The market rate of return is 13.5%, the standard deviation is 20%, and the market's Treynor measure is 0.10. What is the value of the Treynor measure of this portfolio? What is the information ratio of this portfolio? O a. 2%, 0.103 O b. 5%, -0.167 O c. 5%, 0.167 O d. 2%, -0.103 Next pageYou create a portfolio that invests 60% in stock A with E(rA) = 15%, σA = 10% and 40% in stock B with E(rB) = 10%, σB = 4%. 1. Estimate the expected return of the portfolio. 2. Estimate the standard deviation of the portfolio if the two stocks are uncorrelated. 3. Estimate the standard deviation of the portfolio if the two stocks have correlation 0.5. 4. Estimate the standard deviation of the portfolio if the two stocks are perfectly positively correlated.