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Your employer has asked you to investigate the firm’s portfolio risk and return. The portfolio comprises three stocks. It is invested 50 percent in stock A, 30 percent in stock B and 20 percent in stock C. You gathered the following information:
a) Determine what is the portfolio’s expected return
b) Determine the portfolio’s variance and standard deviation
c) Assume that the expected risk-free rate is 2.75 percent. Determine the expected risk premium on the portfolio.
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- What is the expected return of an equally weighted portfolio comprised of the following three stocks? State ofEconomy Probability ofState of Economy Rate of Returnif State Occurs Stock A Stock B Stock C Boom .25 .19 .13 .07 Normal .72 .15 .05 .13 Bust .03The following return series comes from Global Financial Data. Year Large Stocks LT Gov Bonds US T-bills CPI (Rf asset) (inflation) 2017 21.83% 6.24% 0.80% 2.07% 2018 -5.28% -1.25% 1.81% 2.10% 2019 25.45% 3.35% 2.15% 1.10% 2020 18.16% 10.25% 4.50% 1.88% 2021 28.70% -1.54% 0.40% 7.00% 2022 -19.78% -8.55% 2.20% 6.50% Calculate the average real risk premium earned on large-company stocks using the approximate Fisher equation. (Enter percentages as decimals and round to 4 decimals)Calculate the weighted average expected return of the portfolio. Stock Investment Expected ReturnA $20,000 15%B $4,000 10%C $26,000 12%
- Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. For portfolio P with investment proportion of 0.4 in HD and 0.6 in ML, calculate the systematic risk, non-systematic risk, and total risk of P. xxAn investment Analysist provide the following data regarding the possible future returns on AmDa’s common stock State of economy Probability ReturnRecession 0.25 -1.4%Normal 0.45 9.4%Boom 0.30 15.4%i. Compute the expected return on the security? ii. Compute the standard deviation on the security? iii. Compute the Coefficient of variationCovariance and Correlation The following table shows the expected returns from six different stocks in three different states of the economy: State of Economy Probability Return Stock A Return Stock B Return Stock C Return Stock D Return Stock E Return Stock F Growth 0.25 31% 3% 15% 21% 0% 18% Status Quo 0.50 21% 1% 3% 7% 4% 3% Recession 0.25 20% 4% -5% -6% 6% -4% Consider of a portfolio consisting of 50% in Stock E and 50% in Stock F. Calculate the covariance between Stocks E and F. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio.
- Covariance and Correlation The following table shows the expected returns from six different stocks in three different states of the economy: State of Economy Probability Return Stock A Return Stock B Return Stock C Return Stock D Return Stock E Return Stock F Growth 0.25 31% 3% 15% 21% 0% 18% Status Quo 0.50 21% 1% 3% 7% 4% 3% Recession 0.25 20% 4% -5% -6% 6% -4% Calculate the expected return for each stock. Calculate the standard deviation for each stock. Consider of a portfolio consisting of 50% in Stock A and 50% in Stock B. Calculate the covariance between Stocks A and B. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio. Consider of a portfolio consisting of 50% in Stock C and 50% in Stock D. Calculate the covariance between Stocks C and D. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio.…Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 Based on the following information, a.What are the covariance and correlation between the returns of the two stocks? b.Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset.What is the standard deviation of the returns on a stock given the following information? State of Economy Probability of State of Economy Rate of Return if State Occurs Boom .08 .171 Normal .70 .076 Recession .22 .017
- The following return series comes from Global Financial Data. Year Large Stocks LT Gov Bonds US T-bills CPI (Rf asset) (inflation) 2017 21.83% 6.24% 0.80% 2.07% 2018 -5.28% -1.25% 1.81% 2.10% 2019 25.45% 3.35% 2.15% 1.10% 2020 18.16% 10.25% 4.50% 1.88% 2021 28.70% -1.54% 0.40% 7.00% 2022 -19.78% -8.55% 2.20% 6.50% Calculate the average nominal return earned on large-company stocks. (Enter percentages as decimals and round to 4 decimals)An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor’s 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Rate Annual Averageof Return STANDARD DEVIATION OF RETURN BETA Portfolio X 10 13 0.40 S&P 500 12 10 1.00 T-bills 7 n/a n/a n/a = not applicable Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X 7.5 S&P 500 5The following four macro-economic factors were identified regarding a stock As returns, the stock sensitivity to each factor and the related risk premium associated with each factor have been calculated as follows: Gross domestic product (GDP) growth=0.6 RP=4% Inflation rate= 0.8, RP=2% Platinum prices=-0.7, RP= 5% Standard and Poor’s 500 index return= 1.3 RP=9% The risk free rate is 3% Calculate the expected rate of return using the Arbitrage pricing theory formula.