manager in a recent quarter, (1) identify the Alpha of the managers portiollo compared to benchmark (ii) identify the contributions of asset allocation and security selection to relative performance.
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- Review the table below listing performance metrics for selected assets. The metrics are defined in the same way as in CAPM Return risk beta riskless asset 4% 0% 0 Market Portfolio 9% 24% 1 Fund A 8% 33% 0.4 Fund B 11% 30% 1.5Consider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.Example: Risk-adjusted performance appraisal measures The data in the table below has been collected to appraise the performance of four asset management firms: Performance Appraisal Data Fund 1 Fund 2 Fund 3 Fund 4 Market Index Return 6.45% 8.96% 9.44% 5.82% 7.60% Beta 0.88 1.02 1.36 0.80 1.00 Standard deviation 2.74% 4.54% 3.72% 2.64% 2.80% The risk-free rate of return for the relevant period was 3%. Calculate and rank the funds using ex post alpha, Treynor measure, Sharpe ratio, and M².
- Consider the following performance data for two portfolio managers (A and B) and a common benchmark portfolio: BENCHMARK MANAGER A MANAGERB Weight Return Weight Return Weight Return Stock 0.7 -4.8% 0.7 -3.9% 0.3 -4.8% Bonds 0.2 -3.1 0.1 -2.2 0.4 -3.1 Cash 0.1 0.3 0.2 0.3 0.3 0.3 a. Calculate (1) the overall return to the benchmark portfolio, (2) the overall return to Manager A's actual portfolio, and (3) the overall return to Manager B's actual portfolio. Briefly comment on whether these managers have under- or outperformed the benchmark fund. Round your answers to two decimal places. Use a minus sign to enter negative values, if any. Overall return Benchmark Manager A % Manager B % Manager A has -Select- v the benchmark fund. Manager B has -Select- | the benchmark fund. b. Using attribution analysis, calculate (1) the selection effect, and (2) the allocation effect for both Manager A and Manager B. Using these numbers in conjunction with your results from Part a, comment on whether…Consider the following bootstrapped 3-year performance of an actively managed investor's portfolio and a relevant benchmark: Investor's Portfolio Benchmark Portfolio Iteration Portfolio Value Portfolio Portfolio Value Portfolio Return t=3 Return p.a. t=3 р.а. 1 1.3 9.1% 1.2 6.3% 0.9 -3.5% 0.9 -3.5% 3 0.9 -3.5% 0.8 -7.2% 4 1.2 6.3% 1.1 3.2% 5 1.3 9.1% 1.2 6.3% What is the tracking error of investor's portfolio relative to the benchmark (compounded outperformance) over 3 years (rounded to one decimal place)? Select one: O a. 1.4% ОБ. 2.7% O. 4.5% O d. 4.6% O e. None of the aboveConsider the following performance data for two portfolio managers (A and B) and a common benchmark portfolio: BENCHMARK MANAGER A MANAGER B Weight Return WEIGHT RETURN WEIGHT RETURN Stock 0.7 -4.7 0.7 -3.8 0.2 -4.7 % Bonds 0.2 -4.0 0.1 -2.2 0.6 -4.0 Cash 0.1 0.3 0.2 0.3 0.2 0.3 Calculate (1) the overall return to the benchmark portfolio, (2) the overall return to Manager A’s actual portfolio, and (3) the overall return to Manager B’s actual portfolio. Briefly comment on whether these managers have under- or outperformed the benchmark fund. Round your answers to two decimal places. Use a minus sign to enter negative values, if any. Overall return Benchmark % Manager A % Manager B % Using attribution analysis, calculate (1) the selection effect, and (2) the allocation effect for both Manager A and Manager B. Using these numbers in conjunction with your results from Part a, comment on whether these managers have added value…
- Consider the following performance data for two portfolio managers (A and B) and a common benchmark portfolio: BENCHMARK MANAGER A MANAGER B Weight Return Weight Return Weight Return Stock 0.7 -4.8% 0.7 -3.9% 0.3 -4.8% Bonds 0.2 -3.1 0.1 -2.2 0.4 -3.1 Cash 0.1 0.3 0.2 0.3 0.3 0.3OA Graphical derivation of beta A firm wishes to estimate graphically the betas for two assets, A and B. It has gathered the return data shown in the following table for the market portfolio and for both assets over the last 10 years, 2009-2018: a. Which of the following graphs represents the graphical derivation of beta for assets A and B? b. Use the characteristic lines from part a to estimate the betas for assets A and B. c. Use the betas found in part b to comment on the relative risks of assets A and B. a. Which of the following graphs represents the graphical derivation of beta for assets A and B? (Select the best answer below.) Asset Return (% Beta Derivation 20 15 20-150 540 15 20 -10- --15- Asset A Asset B 20 OC. Market Retum (%) Beta Derivation 20- 15 Asset Return (%) 10- 15 20 5 -10 -15 G -20 Asset A Asset B Market Return (%) b. Using the characteristic lines from part a, which of the following pairs of data represents the beta estimates for assets A and B? (Select the best…Portfolio Management A particular firm’s portfolio is composed of two assets, which we will call" A" and "B." Let X denote the annual rate of return from asset A, and let Y denote the annual rate of return from asset B. Suppose that E(X) = 0.15, E(Y) = 0.20, SD (X) = 0.05, SD (Y) = 0.06, and CORR (X, Y) = 0.30. (a) What is the expected return of investing 50% of the portfolio in asset A and 50% of the portfolio in asset B? What is the variance of this return? (b) Replace CORR (X, Y) = 0.30 by CORR (X, Y) = 0.60, 0, -0.30, and -0.60 and answer the questions in part (a). What is the impact of correlation on the expected returns and its variance? Explain why this is so. (c) Suppose that the fraction of the portfolio that is invested in asset B is f, and so the fraction of the portfolio that is invested in asset A is (1 – f). Let f vary from f = 0.0 to f = 1.0 in increments of 5% (that is, f = 0.0, 0.05, 0.10, 0.15, ...), and compute the mean and the variance of the annual rate of…
- 6. Consider the following performance data for two portfolio managers (A and B) and a common benchmark portfolio: BENCHMARK MANAGER A MANAGER B Return Weight Weight Weight Return Return Stock 0.5 -4.0% 0.6 -5.0% 0.3 -5.0% Bonds 0.3 -3.5 0.2 -2.5 0.4 -3.5 0.1 Cash 0.3 0.3 0.3 0.3 0.3 Evaluation of Asset Management a. Calculate (1) the overall return to the benchmark portfolio, (2) the overall return to Manager A's actual portfolio, and (3) the overall return to Manager B's actual portfo- lio. Briefly comment on whether these managers have under- or outperformed the benchmark fund. b. Using attribution analysis, calculate (1) the selection effect for Manager A, and (3) the allocation effect for Manager B. Using these numbers in conjunction with your results from part (a), comment on whether these managers have added value through their selection skills, their allocation skills, or both.Consider the following table which provides a comparison of the returns for a portfolio and its benchmark. Year 0 1 2 3 4 5 Return Alpha Sum Tracking Error Information Ratio Note: the numbers in red are negative b. Calculate the portfolio alpha in percentage terms c. Calculate the tracking error of the portfolio in percentage terms Portfolio Return 16% 9% -35% 22% 84% Required a. Calculate the annualised return of the portfolio and the benchmark in percentage terms d. Calculate the information ratio of the portfolio to 2 decimal places e. Determine to 2 decimal places the amount of Carhart alpha for the portfolio in percentage terms if: o the risk-free rate is 3.25%, o the return of the market is 9.20%, o the exposure to the value factor (when the premium is 3.15%) is 0.65 (ie 65%), o the exposure to the small cap factor (when the premium is 2.05%) is -0.12, and o the exposure to the momentum factor (when the premium is 46%) is 0.1. Benchmark Return 14% 7% -38% 18% 86%Portfolio manager wants to optimize the riskiness of the two assets portfolio with the given statistics below:- Assets Return Volatility Weight A 17.00% 15.00% 40.00% B 21.00% 25.00% 60.00% Correlation -0.70 -0.35 0.25 0.50 0.70 Requirements Calculate the two assets portfolio standard deviation at different correlation levels which are mentioned above and suggest at which correlation is best suits to your portfolio.
