Consider the following information: Rate of Return if State Occurs Probability of State State of Economy of Economy Stock A Stock B Stock C Boom .15 .35 .40 .28 Good .45 .16 .17 .09 Poor .30 Bust .10 -.01 -.10 -.03 -.12 .01 -.09 a. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected return b-1. Variance % b-2. Standard deviation %
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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: 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? Stock C .45 .27 .10 .08 -.06 -.04 -.20 -.09Assuming the below annual rates of return: Annual Rates of Return: Wamart - 12.36% Coca Cola - 25.51% Pfizer - 14% CVS - 32.99% Berkshire Hathaway - 29.66% Choose different values within the range of the standard deviation of the portfolio, and for each chosen value, locate the corresponding point on the efficient frontier by finding the weights that maximize the expected rate of return of the portfolio.
- The following portfolios are being considered for investment. During the period under consideration, RFR =0.07 Porfolio Return Beta P 0.15 1.00 0.05 Q 0.20 1.50 0.1 R 0.10 0.60 0.03 S 0.17 1.10 0.06 Market 0.13 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio Compute the Treynor measure for each portfolio and the market portfolio Rank the portfolios using each measure explaining the cause for any differences you find in the rankings.The following portfolios are being considered for investment. During the period under consideration, RFR = 0.08. Portfolio Return Beta σi P 0.14 1.00 0.05 Q 0.20 1.30 0.11 R 0.10 0.60 0.03 S 0.17 1.20 0.06 Market 0.12 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R S Market Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R S MarketBay Land, Inc. has the following distribution of returns: StateReturnProbabilityBoom0.30.25Normal0.40.15Bust0.30.30 What is the expected return of the portfolio? What is the standard deviation of the portfolio?
- Portfolio Risk and Return: You are given the following distributions of returns for assets (single stock or portfolio) A, B, and C. Economic Conditions Probability Return on asset A B C Boom .30 60% 50% 10% Normal .40 40 30 50 Bust .30 20 10 90 Find the expected return (think of this as the mean return) and standard deviation of B and C. (A’s expected return is 40% and its standard deviation is 15.49%)The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio.Consider the following information in Figure 1 below for a portfolio including security A and security B: Figure 1 State of the economy Probability of state of economy Return on A (%) Return on B (%) Boom 0.2 15 5 Growth 0.2 -5 0 Normal 0.5 10 10 Recession 0.1 5 20 If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)? Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.