You want to know how your portfolio in Problem 1 would perform in one year. The following table shows the economic scenarios, their probabilities, and the returns of the stocks under each scenario. Economic Scenario Growth Recession Probability .60 .40 Stock A 20% -10% Return (%) Stock B 0% 5% a. Calculate the expected return of the portfolio under the growth scenario. b. Calculate the expected return of the portfolio under the recession scenario.
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You want to know how your portfolio in Problem 1 would perform in one year. The following table shows the economic scenarios, their probabilities, and the returns of the stocks under each scenario.
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- Using the data in the following table, LOADING... , consider a portfolio that maintains a 75% weight on stock A and a 25% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. Question content area bottom Part 1 a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2010 2011 2012 2013 2014 2015 Portfolio enter your response here% enter your response here% enter your response…assume that expected return of the stock A in Rachel's portfolio is 13.6% this year.The risk premium on the stock of the same industry are 4.8%.beta of the stock is 1.5 and the inflation rate was 2.7. a)Calculate the risk-free rate of return using capital market asset pricing model please provide the workings for finding risk free rate finding adjusted rate of return(inflation adjusted) finding Risk free rate of return using CAPM modelUsing the data in the following table, consider a portfolio that maintains a 60% weight on stock A and a 40% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2012 Portfolio % 2010 % 2011 % b. Based on your results from part (a), compute the average return and volatility of the portfolio. The average return of the portfolio is%. (Round to two decimal places.) 2013 % 2014 % 2015 % The…
- Suppose the next month rate of return on a portfolio (worth $1M) is distributed as follows. Return Rate -0.05 -0.03 -0.01 0.00 0.01 0.03 0.04 0.07 0.10 0.12 Probability 1% 1.5% 2.5% 5% 10% 20% 25% 20% 10% 5% What is the expected rate of return given that the return is known to be greater than or equal to 4%?Using the data in the following table,, consider a portfolio that maintains a 50% weight on stock A and a 50% weight on stock B a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.8. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below (Round to two decimal places.) Year Portfolio Data table 2010 % 2011 % 2012 % 2013 % (Click on the following icon in order to copy its contents into a spreadsheet.) 2014 2015 %1 1% Year 2010 2011 2012 2013 2014 2015 Stock A -10% 20% 5% 5% 2% 9% Stock B 21% 7% 30% -3% 8%…Consider the following scenario analysis attached in the images: Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? (Enter your answer as a percent rounded to 1 decimal place.) Rate of Return Recession % Normal economy % Boom % b.What are the expected rate of return and standard deviation of the portfolio?(Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Expected Return : % Standard Deviation: %
- Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Aaron owns a two-stock portfolio that invests in Happy Dog Soap Company (HDS) and Black Sheep Broadcasting (BSB). Three-quarters of Aaron's portfolio value consists of HDS's shares, and the balance consists of BSB's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence 0.20 0.35 0.45 Strong Normal Weak Happy Dog Soap 17.5% 10.5% -14% • The expected rate of return on Happy Dog Soap's stock over…XYZ stock's returns will have the following probability distribution during the possible states of the economy.a. Calculate the expected return on XYZ stock.b. Calculate the standard devivation of XYZ stock returns.c. Calculate the coefficient of variation of XYZ stock.State of Economy Probability Return Boom 30% 32.50% Normal 40% 10.25% Recession 30% -15.75%Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%
- You decide to invest in a portfolio consisting of 30 percent Stock A, 30 percent Stock B, and the remainder in Stock C. Based on the following information, what is the expected return of your portfolio? State of Economy Probability of Return if State Occurs State Economy Stock A Stock B Boom .17 -18.8% -3.9% Normal 18 .45 10.2% 8.5% Recession .38 28.6% 15.8% Stock C -22.8% 17.1% 31.7%You decide to invest in a portfolio consisting of 25 percent Stock A, 25 percent Stock B, and the remainder in Stock C. Based on the following information, what is the expected return of your portfolio? State of Economy Probability of State Return if State Occurs of Economy Stock A Stock B Stock C Recession .17 - 15.4 % - 2.2 % - 21.1 % Normal .50 11.6 % 6.8 % 15.4 % Boom .33 25.2 % 14.1 % 30.0 % Multiple Choice 12.87% 12.34% 15.21% 13.95% 11.80%Consider a portfolio consisting of the following three stocks: E The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. b. Using your answer from part (a), calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part (c), calculate the expected return of the portfolio and verify that it matches your answer to part (b). a. Compute the beta and expected return of each stock. (Round to two decimal places.) TITLT Data table Portfolio Weight (A) Volatility (B) Correlation (C) Expected Return (E) % Beta (D) НЕС Согр 0.28 13% 0.33 Green Widget (Click on the following icon a in order to copy its contents into a spreadsheet.) 0.39 27% 0.61 % Portfolio Weight Alive And Well 0.33 14% 0.43 Volatility 13% Correlation with the Market Portfolio НЕС Согр Green Widget 0.28 0.33 b. Using your answer from part (a), calculate the expected…