A portfolio consists of two securities: a 90-day T-bill and the S&P/TSX Composite. The expected return on the T-bill is 4.5%. The expected return on the S&P/TSX Composite is 12% with a standard deviation of 20%. What is the portfolio standard deviation if the expected return for this portfolio is 15% ? 12.00% 8.13% 16.80% 28.00%
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- Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?A portfolio consists of two securities: a 90-day T-bill and the S&P/TSX Composite. The expected return on the T-bill is 4.5%. The expected return on the S&P/TSX Composite is 12% with a standard deviation of 20%. What is the portfolio standard deviation if the expected return for this portfolio is 15%?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.
- 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)?consider a portfolio composed of five securities. All the securities have a beta of 1.0 and unique or specific risk (Standard Deviation) of 25 percent. The portfolio distributes weight equally among its component securities. If the Statement Deviation of the market index is 18 percent calculate the total risk of the portfolio.A 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?
- These securities pay $0 coupons at the end of the first 6-month period and par value at maturity. What is the weighted-average portfolio yield? What is the portfolio yield (i.e., portfolio internal rate of return)?Your employer has asked you to investigate the firm’s portfolio risk and return. The portfolio comprises three stocks. It is invested 50 percent in stock A, 30 percent in stock B and 20 percent in stock C. You gathered the following information: a) Determine what is the portfolio’s expected return b) Determine the portfolio’s variance and standard deviation c) Assume that the expected risk-free rate is 2.75 percent. Determine the expected risk premium on the portfolio.A portfolio consists of $15,000 in Stock M and $22,900 invested in Stock N. The expected return on these stocks is 8.80 percent and 12.40 percent, respectively. What is the expected return on the portfolio?
- An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor’s 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Rate Annual Averageof Return STANDARD DEVIATION OF RETURN BETA Portfolio X 10 13 0.40 S&P 500 12 10 1.00 T-bills 7 n/a n/a n/a = not applicable Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X 7.5 S&P 500 5Your employer has asked you to investigate the firm’s portfolio risk and return. The portfolio comprises three stocks. It is invested 50 percent in stock A, 30 percent in stock B and 20 percent in stock C. (a) Determine what is the portfolio’s expected return. (b) Determine the portfolio’s variance and standard deviation. (c) Assume that the expected risk-free rate is 2.75 percent. Determine the expected risk premium on the portfolio.An analyst wants to evaluate Portfolio X consisting entirely of US common stocks, using both the Treynor and Sharpe measures of the portfolio performance. The following table provides the average annual rate of return for the portfolio X the market portfolio (as measured by the Standard & Poor's 500 index) and US Treasury billds (Tbills) during the past eight years Average Return Standard deviation Beta Portfolio X 10% 18% 0.6 S & P 500 12% 13% 1 T bills 6% n/a n/a a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Briefly explain whether portfolio X underperformed, equalled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure. b. Based on the performance of…