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- Assume that you are given the following partial covariance and correlation matrices for Securities J, K and the Market. Also assume that the expected risk-free rate for the coming year is 3.0 percent and that the expected risk premium on the market is 7.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. J Market Correlation J K Market Covariance J K Market Standard Deviation O 18.48% O 20.20% O 15.48% O 12.71% O 15.04% 0.44 0.86 J 0.014400 J K 0.64 K CAN 0.016900 K 1.00 Market 0.003600 MarketQuestion 1 Refer to the following observations for stock A and the market portfolio in the table:Month Stock A Market portfolio1 0.30 0.122 0.24 0.083 -0.04 -0.104 0.10 -0.025 0.06 0.086 0.10 0.07 a) Calculate the main statistic measures to explain the relationship between stock A and the market portfolio:• The sample covariance between rate of return for the stock A and the market;• The sample Beta factor of stock A;• The sample correlation coefficient between the rates of return of the stock A and the marketConsider the following information: Portfolio Expected Return Standard Deviation Risk-free 7% 0% Market 11.6 28 A 10.0 17 Required: a. Calculate the Sharpe ratios for the market portfolio and portfolio A. (Round your answers to 2 decimal places.) b. If the simple CAPM is valid, is the above situation possible?
- 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 MarketData are given as follows: (all the values are in percent) Month Average portfolio return market Average Average risk-free return rate 2.464 3.360 0.090 16.130 2.348 0.090 0.771 -1.484 0.120 -6.386 -2.437 0.120 15 -2.861 1.965 0.090 16 -7.673 2.806 0.120 0.805 -5.721 0.150 -0.372 0.327 0.150 1.508 2.464 0.150 10 2.003 2.250 0.150 11 -4.723 6.639 0.210 12 Calculate Treynor measure, Sharpe ratio, tracking error, information ratio, and hit ratio. Then, evaluate the performance of this portfolio. 2.383 4.874 0.210Consider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14
- Forward prices of the form Fo = S,e"" are sometimes referred to as “risk-adjusted expected future spot prices". If a stock's expected annualized log return is a (i.e. E[Sr] Soear, or – In ("5") = a), show that the expected annualized log return over the period So t = 0 → T (i.e. the rate of appreciation in F) on a forward contract with maturity T years written on that stock must be equal to the risk premium a – r, where r is the annualized risk-free rate. Explain the surprising result that an asset that requires zero initialSECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and rp: 8A-2 M' A Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 5 23.00 23.00 17.00 31.70 31.70 21.35The following portfolios are being considered for investment. During the period under consideration, RFR = 0.07. Portfolio Return Beta P 0.15 1.00 0.05 Q 0.09 0.50 0.03 R. 0.21 1.30 0.10 0.18 1.20 0.06 Market 0.12 1.00 0.04 a. Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R Market b. Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R Market c. Rank the portfolios using each measure, explaining the cause for any differences you find in the rankings. Portfolio Rank (Sharpe measure) Rank (Treynor measure) P |-Select- v |-Select- v Q -Select- v -Select- V R. -Select- V -Select- v -Select- v -Select- v Market -Select- v -Select- v -Select- v is poorly diversified since it has a high ranking based on the -Select- but a much lower ranking with the -Select-
- If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %You are given the following partial covariance and correlation tables from historical data: Securities J K Market Securities J K Market 1.24 1.11 1.17 1.03 Covariance Matrix K 0.90 J 0.0020480 0.0021600 Also, you have estimated that the market's standard deviation is 4.3 percent. For the coming year, the expected return on the market is 14.0 percent and the risk-free rate is expected to be 4.0 percent. Given this information, determine the beta for Security K for the coming year, assuming CAPM is the correct model for required returns. Correlation Matrix K 0.60 1.00 0.90 1.00 0.60 0.80 Market 0.0020480 0.0021600 Market 0.80 0.90 1.00 Ston sharing Hidel lines WeThe index model for stocks A and B is estimated from excess return with the following results: RA = -0.01 +0.8RM RB = 0.04 + 1.1RM R-squared 4 = 0.15 R-squared B = 0.3 Market-index risk (oM) is 0.2