Suppose you group all the stocks in the world into mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics: The risk free-rate is 2%. a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? b. Calculate the Sharpe ratios of the value stock, growth stock, and market portfolio. c. Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?)
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- You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?Suppose Stock A has B = 1 and an expected return of 11%. Stock B has a B = 1.5. The risk- free rate is 5%. Also consider that the covariance between B and the market is 0.135. Assume the CAPM is true. Answer the following questions: a) Calculate the expected return on share B. b) Find the equation of the Capital Market Line (CML). c) Build a portfolio Q with B = 0 using actions A and B. Indicate weights (interpret your result) and expected return of portfolio Q.Suppose you group all the stocks in the world into mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics: . The risk free-rate is 3%. a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? b. Calculate the Sharpe ratios of the value stock, growth stock, and market portfolio. c. Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?) a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? The expected return of the market portfolio is %. (Round to two decimal place.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Value Stocks Growth Stocks Expected Return 15% 18% Volatility 13% 26% X Clear all Check answ
- Suppose you group all the stocks in the world into mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the characteristics listed in the table. The risk free-rate is 2%. a. What is the expected return and volatility of the market portfolio (which is a 50–50 combination of the two portfolios)? b. Calculate the Sharpe ratios of the value stock, growth stock, and market portfolio. c. Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?)Assume an economy in which there are three securities: Stock A with rA = 10% and σA = 10%; Stock B with rB = 15% and σB = 20%; and a riskless asset with rRF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most CORRECT? 1. b. The expected return on the investor’s portfolio will probably have an expected return that is somewhat below 10% and a standard deviation (SD) of approximately 10%. 2. d. The investor’s risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%. 3. e. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%. 4. a. The expected return on the investor’s portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%. 5.…Suppose that all stocks can be grouped into two mutually exclusive portfolios (with each stock appearing in only one portfolio): growth stocks and value stocks. Assume that these two portfolios are equal in size (market value), the correlation of their returns is equal to 0.6, and the portfolios have the following characteristics: Expected Return Volatility Value Stocks 0.12 14% Growth Stocks 0.15 24% The risk free rate is 3.5%. what is the sharpe ratio?
- Suppose you group all the stocks in the world into two mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics: Expected Return volatility Value stock 15% 14% Growth stock 16% 20% The risk-free rate is 3%. What is the expected return and volatility of the market portfolio (which is a 50–50 combination of the two portfolios)? Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?)a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. 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. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 45 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…
- Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, r. The characteristics of two of the stocks are as follows: Stock A B Correlation-1 Rate of return. Expected. Return 79 10% Standard Deviation 30% 70% Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium ry be greater than rate of return? Yes NoConsider an economy with just two assets. The details of these are given below. Number of Shares Price Expected Return Standard Deviation A 100 1.5 15 15 B 150 2 12 9 The correlation coefficient between the returns on the two assets is 1=3 and there is also a risk-free asset. Assume the CAPM model is satisfied. (1) What is the expected rate of return on the market portfolio? (2) What is the standard deviation of the market portfolio? (3) What is the beta of stock A? (4) What is the risk-free rate of return?Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?