Suppose that Jerry Tan has surplus funds to invest in both stocks, Alpha and Beta. He has decided to form a portfolio with investment in both stocks. The correlation coefficient between the expected return of both stocks is 0.8 and the weightage of investment is 40% for Stock Alpha and 60% for Stock Beta. Required: (i) Compute the expected return of the portfolio. (ii) Compute the variance of the portfolio. (iii) Compute the standard deviation of the portfolio.
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Suppose that Jerry Tan has surplus funds to invest in both stocks, Alpha and Beta. He has decided to form a portfolio with investment in both stocks. The correlation coefficient between the expected return of both stocks is 0.8 and the weightage of investment is 40% for Stock Alpha and 60% for Stock Beta.
Required:
(i) Compute the expected return of the portfolio.
(ii) Compute the variance of the portfolio.
(iii) Compute the standard deviation of the portfolio.
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- You live in a world where three future states are possible: Boom, Normal and Recession. See the probablities of these states in the attched table. Consider a stock which you expected to have the following returns in these states of the economy. State Probability Boom Normal Recession O 9.05% O 7.35% What is the expected return on an investment in this stock? 6.00% 25% 55% 20% O 3.75% State Expected Return 0.15 0.08 -0.04Barbara Millicent Roberts LLC (BMRL) is a boutique advisory firm that specialises in macro- economic forecasts for their wealthy clients. According to BMRL's analysis, the following are three possible future macro-economic environments along with state-dependent total returns for three assets, A, B and M (M is the market). ProbabilityA 0.3 0.5 0.2 B M Growth Stagnation Recession Required: Calculate the forward-looking CAPM expected return for B. 2% 15% 2% 3% 2% -10% 7% 4% -3%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 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…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…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. 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 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…H3. Compute the standard deviation of the expected return given these three economic states, their likelihoods, and the potential returns: Economic State Probability Return Fast Growth 0.2 30% Slow Growth 0.5 6% Recession 0.3 −2% Please show proper step by step calculationConsider the following information about the various states of economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. State of the Economy Recession Below Average Average Above Average Boom Mean Standard Deviation Coefficient of Variation Covariance with MP Probability 0.2 0.1 0.3 0.3 0.1 % Return on T-Bills, Stocks and Market Index Pay-Rubber- made 10 -10 7 45 30 T- Bills 7 7 7 7 7 Phillips -22 -2 20 35 50 up 28 14.7 0 -10 -20 Market Index -13 1 15 29 43