Given the monthly returns that follow, find the R2, alpha, and beta of the portfolio. Compute the average return differential with and without sign. Do not round intermediate calculations. Round your answers to two decimal places. R²: Alpha: Beta: % Average return difference (with signs): % Month January February March April May June July August September October November December Portfolio Return 5.7% -2.8 -1.6 2.3 0.8 -0.8 0.5 1.5 -0.4 -3.6 2.3 0.7 S&P 500 Return 5.9% -3.3 -0.8 1.9 0.3 -0.2 0.7 1.6 0.3 -4.1 1.9 0.4
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- INV 2 -1 You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. Is P an efficient portfolio relative to the market?Question content area top Part 1 (Related to Checkpoint 8.3) (CAPM and expected returns) a. Given the following holding-period returns, LOADING... Month Sugita Corp. Market 1 2.4 % 1.0 % 2 −1.0 2.0 3 0.0 3.0 4 0.0 0.0 5 7.0 7.0 6 7.0 1.0 , compute the average returns and the standard deviations for the Sugita Corporation and for the market. b. If Sugita's beta is 1.84 and the risk-free rate is 6 percent, what would be an expected return for an investor owning Sugita? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Sugita's historical average return compare with the return you should expect based on the Capital Asset…INV2 P1 3b You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. Would you characterize P as a buy or sell and why?
- (Related to Checkpoint 8.3) (CAPM and expected returns) a. Given the following holding-period returns, LOADING... , compute the average returns and the standard deviations for the Sugita Corporation and for the market. b. If Sugita's beta is 1.89 and the risk-free rate is 6 percent, what would be an expected return for an investor owning Sugita? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Sugita's historical average return compare with the return you should expect based on the Capital Asset Pricing Model and the firm's systematic risk? Month Sugita Corp. Market 1 2.4 % 1.0 % 2 −0.8 2.0 3 1.0 2.0 4 −1.0 −1.0 5 6.0 7.0 6 6.0…Problem 11-25 Portfolio Returns and Deviations [LO 1, 2] Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom .13 .02 .32 .50 Normal .55 .10 .22 .20 Bust .32 .16 −.21 −.35 If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio’s expected return, the variance, and the standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., .16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16. If the expected T-bill rate is 4.25 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?
- Question No. 5: A rates of return of asset and market have the following distribution: Steady of Economy Probability Stock A Stock B Market Return Boom 0.3 20% 15% 15% Normal 0.4 5 5% 9 Recession 0.3 12 -10% 18 Correlation Coefficient with market -0.3 0.3 Calculate the standard deviation of return for the stock A,B and market. Calculate Beta Coefficient of stock A and B. Calculate the required rate of return of stock A & B, if you know the risk-free return 6% and market return represents expected return of market.Problem 3: Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 Which of the two stocks is riskier? Why? Which of the stocks is expected to yield a higher return? Why? Where will you invest?Question 3: You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago. Required: a) If your portfolio has provided you with returns of 9.7%, -6.2%, 12.1%, 11.5% and 13.3% over the past five years, respectively. Calculate the geometric average return of the portfolio for this period?b) AssumethatexpectedreturnofthestockAinyourportfoliois14.6%.The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of this stock using Capital Asset Pricing Model (CAPM)? D) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio?AB 12.5% 18.5%Expected returnStandard Deviation of return Correlation of coefficient (p) 0.415% 20%
- Question 4 The risk-free rate of return is 2.7 percent, the inflation rate is 3.1 percent, and the market risk premium is 6.9 percent.What is the expected rate of return on a stock with a beta of 1.08?Select one:A. 12.22 percentB. 11.47 percentC. 10.15 percentD. 10.92 percentProblem 3:Here are the annual returns for five different stocks. Determine the expected return and risk for a period of five years for each of the stocks. Problem 4:a. Find the coefficient of variation (CV) for each of the actions in problem 3.b. Explain which of the investments a risk averse investor would prefer and which a risk lover investor would prefer. Answer clearly and in detail. Show all the computations that led to the result.INV2 P1 2 You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. What is the portfolio P’s beta?