a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? b. Calculate the expected rate of return and standard deviation for each investment. c. Which investment would you prefer?
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- Consider the following information about the various states of economy and the returns ofvarious investment alternatives for each scenario. Answer the questions that follow.% Return on T-Bills, Stocks and MarketIndexState of the Economy Probability TBills Phillips PayupRubbermadeMarketIndexRecession 0.2 7 -22 28 10 -13Below Average 0.1 7 -2 14.7 -10 1Average 0.3 7 20 0 7 15Above Average 0.3 7 35 -10 45 29Boom 0.1 7 50 -20 30 43MeanStandard DeviationCoefficient of VariationCovariance with MPCorrelation with Market IndexBetaCAPM Req. ReturnValuation(Overvalued/Undervalued/FairlyValued)Nature of stock(Aggressive/Defensive)Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Each line item is worth 2 marksQuestion 2 Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and…Consider the following information about the various states of economy and the returns ofvarious investment alternatives for each scenario. Answer the questions that follow.% Return on T-Bills, Stocks and MarketIndexState of the Economy Probability TBills Phillips PayupRubbermadeMarketIndexRecession 0.2 7 -22 28 10 -13Below Average 0.1 7 -2 14.7 -10 1Average 0.3 7 20 0 7 15Above Average 0.3 7 35 -10 45 29Boom 0.1 7 50 -20 30 43MeanStandard DeviationCoefficient of VariationCovariance with MPCorrelation with Market IndexBetaCAPM Req. ReturnValuation(Overvalued/Undervalued/FairlyValued)Nature of stock(Aggressive/Defensive)Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Question 2 Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an…9. This problem will give you some practice calculating measures of prospective portfolio performance. There are two assets and three states of the economy: Rate of return if state occurs Probability of state of economy State of economy Equity A -0.15 Equity B Recession 0.20 0.20 Normal 0.50 0.20 0.30 Вoom 0.30 0.60 0.40 What are the expected returns and standard deviations for these two equities?
- Consider the following scenario analysis: Scenario Probability Stocks Bonds Recession 0.30 -6 % +15% Normal Economy 0.30 +14 + 7 Boom 0.40 +26 +5 Calculate the expected rate of return and standard deviation for each investment? Which investment would you prefer?Compute the expected rate of return on investment i given the followinginformation: Rf = 8%; E(RM) = 14%; βi = 1.0.b. Recalculate the required rate of return assuming βi is 1.8.25. a. Compute the expected rate of return on investment i given the followinginformation: the market risk premium is 5%; Rf = 6%; βi = 1.2.b. Compute E(RM)A. Realized return B. Ex ante alpha C. Ex post alpha D. Realized beta Question 7 (MCQ) One example of a build up model is: A. A macroeconomic model B. Capital Asset Pricing Model (CAPM) C. Bond yield plus risk premium D. Fama and French model
- For each of the cases shown in the following table, use the capital asset pricing model (CAPM) to find the required return and explain your answer. Case Risk-free rate Market return Beta (%) (%) 8 A 5 1.3 В 8. 13 0.9 C 9 12 -0.2 D 10 15 1.0 E 10 0.6Consider the following information about the various states of economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. Work out the Covariance with mp showing detatiled working and explanation % Return on T-Bills, Stocks and Market Index States of Economy Probability T-Bills Phillips Pay-up Rubber-Made Market Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean 7 16.9 20.7 19.6 15 Variance (%) ^2 0 549.09 244.124 358.04 313.6 Standard Deviation 0 23.4326695 15.6244712 18.92194493 17.7087549 Coefficient of Variation 0 1.386548491 7.54805372 0.965405354 1.18058366 Covariance wit MP Correlation with Market Index…Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.30 −5 % 18 % Normal economy 0.60 19 % 7 % Boom 0.10 24 % 7 % b. Calculate the expected rate of return and standard deviation for each investment.
- Consider the following information about the various states of economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. % Return on T-Bills, Stocks and Market Index States of Economy Probability T-Bills Phillips Pay-up Rubber-Made Market Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean Variance (%) ^2 Standard Deviation Coefficient of Variation Covariance wit MP Correlation with Market Index Beta CAPM Req. Return Valuation ( Overvalued / Undervalued/Fairly Valued) Nature of Stock…Consider the following information about the various states of economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. % Return on T-Bills, Stocks and Market Index States of Economy Probability T-Bills Phillips Pay-up Rubber-Made Market Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean 7 16.9 20.7 19.6 15 Variance (%) ^2 0 549.09 244.124 358.04 313.6 Standard Deviation 0 23.4326695 15.6244712 18.92194493 17.7087549 Coefficient of Variation 0 1.386548491 7.54805372 0.965405354 1.18058366 Covariance wit MP 0 4.13 -275 231 313.60 Correlation with Market Index 0.9953 -0.9953 0.6894 1.0000 Beta 0 1.32…Consider the following information about the various states of economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. % Return on T-Bills, Stocks and Market Index States of Economy Probability T-Bills Phillips Pay-up Rubber-Made Market Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean Variance (%) ^2 Standard Deviation Coefficient of Variation Covariance wit MP Correlation with Market Index Beta CAPM Req. Return Valuation ( Overvalued / Undervalued/Fairly Valued) Nature of Stock…