8-8. What is the standard deviation of returns for the following stock? State Boom Normal Bust Probability 0.30 0.40 0.30 Return on A 0.1050 0.0400 -0.0250 Assuming that the returns are normally distributed, what is the probability that the stock will lose value (have a return less than zero)? Use 4.00% for the standard deviation.
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- What is the required return for each stock? What is required return for stock B? Scenario Probability Stock A Stock B Market Risk-free rate Bust 0.25 -0.15 -0.05 Normal 0.55 0.2 0.1 Boom 0.2 0.4 0.3 Beta 1.2 0.9 Expected return 0.13 0.05Suppose that stock market returns are normally distributed with a mean of 7% and a standard deviation of 20%. There should be about a 16% chance of getting a return less than _______%. Write your answer as a whole number: eg, -15% = -15.Consider the following information: State of Economy Boom Bust Probability of State of Economy a. Expected return b. Variance .60 .40 Rate of Return if State Occurs % Stock A Stock B .23 .08 .15 .18 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 24 percent each in A and B and 52 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) Stock C .42 -.09
- U Assume CAPM holds. We know expected return and beta of two stocks: Stock A: E[ra] = 10% and beta_a = 1.5 Stock B: E[rb] = 5% and beta_b = 0.5 What would be the expected return of a stock that has a beta of 0.9? O 6.5% Ⓒ7% O 7.5% O 6% Question 5 Which of the following statements is false? o The CAPM follows from equilibrium conditions in a frictionless mean-variance economy with rational investors According to CAPM, everyone should hold a mix of the market portfolio and the risk-free asset. According to CAPM, everyone can generate positive return by buying positive alpha stocks and by selling negative alpha stocks. According to CAPM, the expected return on a stock is a linear function of its beta.Consider the following information: State of Economy Probability of State of Economy Boom Bust .68 :32 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B Stock C .11. .15 .05 .21 .26 -.06 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 23 percent each in A and B and 54 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.Consider the following information: State of Economy Probability of State of Economy Boom Bust .72 .28 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B .04 .25 13.73 % .10 .19 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 27 percent each in A and B and 46 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. Stock C .30 -.10
- What are the expected return and the standard deviation for the CoR Stock? CoR Stock I Probability Rate of Scenario of Scenario Return Worst Case 0.10 -20% Poor Case 0.20 -5% Most Likely 0.40 1% Good Case 0.20 5% Best Case 0.10 30%Suppose that stock market returns are normally distributed with a mean of 7% and a standard deviation of 20%. There should be about a 2.5% chance of getting a return greater than %. Write your answer as a whole number: eg, 28% = 28.A stock's returns have the following distribution: Standard deviation: Coefficient of variation: Sharpe ratio: % Demand for the Company's Products Weak Below average % Average Above average Strong Probability of this Demand Occurring Assume the risk-free rate is 3%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: 0.1 0.1 0.4 0.3 0.1 1.0 Rate of Return if this Demand Occurs (38%) (11) 15 23 56
- Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Boom Bust .66 .34 Stock A .09 .23 Stock B .03 Stock C .34 .29 -.14 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 21 percent each in A and B and 58 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. a. Expected return b. Variance of portfolio 14.43 %Stock A has a beta of 1.30, and its required return is 11.35%. Stock B's beta is 0.80. If the risk-free rate is 2.90%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.) Do not round your intermediate calculations. a. 8.10% b. 6.50% c. 7.56% d. 8.45% e. 8.77%What are the expected returns for stock A and stock B? State Probability Return on A Return on B Boom .60 0.35 0.10 Bust .40 0.05 0.25 a. 15.50%, 10.83% b. 26.00%, 14.50% c. 23.00%, 16.00% d. 21.50%, 16.75%