Stock A has an expected return of 12% and a standard deviation of 35%. Stock B has an expected return of and a standard deviation of 65%. The correlation coefficient between Stocks A and B is 0.2. What are the ex return and standard deviation of a portfolio invested 25% in Stock A and 75% in Stock B? Do not round intermediate calculations. Round your answers to two decimal places. Expected return: 50.62 %
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- A stock has a beta of 0.9 and an expected return of 9 percent. A risk-free asset currently earns 4 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Answer is complete and correct. Expected return 6.50 % b. If a portfolio of the two assets has a beta of 0.5, what are the portfolio weights? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Stock Risk-free asset Portfolio Weight % %Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, đA = .362, and Og = .622. %3D Calculate the expected return of a portfolio that is composed of 37 percent A and 63 percent B when the correlation between the returns on A and B is .52. (Do not a-1. round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in h part (a) when the correlation coefficient between the returns on A and B is -.52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-1.…A stock has a beta of 1.39 and an expected return of 13.7 percent. A risk-free asset currently earns 4.75 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If a portfolio of the two assets has a beta of .99, what are the portfolio weights? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., 1616.) c. If a portfolio of the two assets has an expected return of 12.9 percent, what is its beta? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. If a portfolio of the two assets has a beta of 2.59, what are the portfolio weights? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 4 decimal places, e.g., 1616.) a. Expected return b. Weight of stock Weight of risk-free…
- Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, OA = .362, and og = .622. Calculate the expected return of a portfolio that is composed of 37 percent A and а-1. 63 percent B when the correlation between the returns on A and B is .52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in part (a) when the correlation coefficient between the returns on A and B is -.52. (Do b. not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)Required information [The following information applies to the questions displayed below.] A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Expected Return 16% Standard Deviation Stock fund (S) Bond fund (B) 32% 10% 23% The correlation between the fund returns is 0.20.A stock has a beta of 1.8 and an expected return of 13 percent. A risk-free asset currently earns 3.2 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return % b. If a portfolio of the two assets has a beta of .99, what are the portfolio weights? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Weight of stock Risk-free weight c. If a portfolio of the two assets has an expected return of 9 percent, what is its beta? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.) Beta d. If a portfolio of the two assets has a beta of 3.6, what are the portfolio weights? (Do not round intermediate calculations. A negative answer should be indicated by a minus sign. Round your answers to…
- 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 %(4) Please answer the following short questions with what you have learned. There is a portfolio of two assets - 30% investment in Stock A and 70% investment in Stock B. The correlation of returns between Stock A and Stock B is 0.50. The covariance between these two stocks is 0.0043, and the standard deviation of the return of Stock B is 26%. Requirements: (a) Please calculate the standard deviation of the return of Stock A. (b) Please calculate the standard deviation of the return of portfolio. (c) If we increase more and more different stocks in the portfolio, will it always decrease the risk (standard deviation) of the return of the portfolio? Please explain your answer in detail.A stock has a beta of 1.26 and an expected return of 12.4 percent. A risk-free asset currently earns 4.1 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If a portfolio of the two assets has a beta of .86, what are the portfolio weights? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.) c. If a portfolio of the two assets has an expected return of 11.6 percent, what is its beta? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. If a portfolio of the two assets has a beta of 2.46, what are the portfolio weights? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.)
- An 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?Standard deviation of the portfolio with stock A is 22.86 %. (Round to two decimal places.) Standard deviation of the portfolio with stock B is 23.47 %. (Round to two decimal places.) Which stock should you add and why? (Select the best choice below.) A. Add A because the portfolio is less risky when A is added. B. Add B because the portfolio is less risky when B is added. OC. Add either one because both portfolios are equally risky.Asset W has an expected return of 8.8 percent and a beta of .90. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio in Portfolio Expected Portfolio Asset W Return Beta 0 % % 25 % 50 % 75 % 100 % 125 % 150 % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Slope of the line %