nsider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom .15 .35 .45 .27 Good .55 .16 .10 .08 Poor .25 -.01 -.06 -.04 Bust .05 -.12 -.20 -.09 a) Your portfolio is invested 40 percent each in A and C, and 20 percent in B. What is the expected return of the portfolio? b) What is the variance of this portfolio? The standard deviation?

nsider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom .15 .35 .45 .27 Good .55 .16 .10 .08 Poor .25 -.01 -.06 -.04 Bust .05 -.12 -.20 -.09 a) Your portfolio is invested 40 percent each in A and C, and 20 percent in B. What is the expected return of the portfolio? b) What is the variance of this portfolio? The standard deviation?

EBK CFIN

6th Edition

ISBN:9781337671743

Author:BESLEY

Publisher:BESLEY

Chapter8: Risk And Rates Of Return

Section: Chapter Questions

Problem 9PROB

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Consider the following information: Rate of Return if State Occurs State of Probability of State Economy of Economy Stock A Stock B Stock C Boom .68 .11 .05 .36 Bust .32 .25 .31 –.16 a. What is the expected return on an equally weighted portfolio of these three stocks? b. What is the variance of a portfolio invested 23 percent each in A and B and 54 percent in C?
Consider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions State Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Consider the portfolio with 50% investment in each of the two assets above. Calculatethe expected return and the standard deviation of the portfolio.
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…
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 Market IndexState of the Economy Probability TBills Phillips Payup Rubbermade 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…
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 Market Index State of the Economy Probability T- Phillips Pay- Rubber- Market Bills up made 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…
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…
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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 State of the Economy Probability T- Phillips Pay- Rubber- Market Bills up made 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…
Using the table below, calculate the Standard Deviation of the portfolio: Demand for Company Products Probability of this Demand Occurring Rate of Return if this demand Occurs (k) Weak 0.15 -30% Below average 0.25 -15% Average 0.25 10% Above Average 0.20 25% Strong 0.15 45%
Consider the following information regarding a new investment that a company intends toundertake:.State of the Economy Probability Market Return Investment ReturnExpansion 0.30 40% 60%Normal 0.50 10% 25%Recession 0.20 -15% -40%a). Compute the variance and standard deviation of each b). Compute the correlation between the market the investment return(s) c). Compute the beta of the investment d). Assuming the risk free rate is 5% p.a. Compute the required rate return and advice if the investment is worth undertaken.