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CHAPTER 27

CHAPTER 27. The Theory of Active Portfolio Management. Overview. Treynor-Black model Optimization using analysts’ forecasts of superior performance Adjusting model for tracking error Adjusting model for analyst forecast error Black-Litterman model.

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CHAPTER 27

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  1. CHAPTER 27 The Theory of Active Portfolio Management

  2. Overview Treynor-Black model Optimization using analysts’ forecasts of superior performance Adjusting model for tracking error Adjusting model for analyst forecast error Black-Litterman model

  3. Table 27.1 Construction and Properties of the Optimal Risky Portfolio

  4. Table 27.2 Stock Prices and Analysts’ Target Prices for June 1, 2006

  5. Figure 27.1 Rates of Return on the S&P 500 (GSPC) and the Six Stocks, June 2005 – May 2006

  6. Table 27.3 The Optimal Risky Portfolio with the Analysts’ New Forecasts

  7. Table 27.4 The Optimal Risky Portfolio with Constraint on the Active Portfolio (WA< 1)

  8. Figure 27.2 Reduced Efficiency when Benchmark is Lowered

  9. Table 27.5 The Optimal Risky Portfolio with the Analysts’ New Forecasts (benchmark risk constrained to 3.85%)

  10. Adjusting Forecasts for the Precision of Alpha How accurate is your forecast How should you adjust your position to take account of forecast imprecision Must quantify the uncertainty by examining the forecasting record of previous forecasts by same forecaster The adjusted alpha:

  11. Figure 27.3 Histogram of the Alpha Forecast

  12. Figure 27.4 Organizational Chart for Portfolio Management

  13. Steps in the Black-Litterman Model Step 1: Estimate the covariance matrix from historical data Step 2: Determine a baseline forecast Step 3: Integrating the manager’s private views Step 4: Developing revised (posterior) expectations Step 5: Apply portfolio optimization

  14. Figure 27.5 Sensitivity of Black-Litterman Portfolio Performance to Confidence Level (view is correct)

  15. Figure 27.6 Sensitivity of Black-Litterman Portfolio Performance to Confidence Level (view is false)

  16. The BL Model as Icing on the TB Cake Suppose that you have two portfolios—one for the US and one for Europe The model would be run as two separate divisions Each division would compile values of alpha relative to their own passive portfolio Relative performance of the two markets can be expected to add information to the independent macro forecasts for the two economies Portfolios need to be optimized separately

  17. Value of Active Management Model for estimation of potential fees Kane, Marcus, and Trippi derive an annuitized value of portfolio performance measured as a percent of funds under management The percentage fee that investors would be willing to pay for active services can be related to the difference between the square of the portfolio Sharpe ratio and that of the passive portfolio Source of the power of the active portfolio is the additive value of the squared information ratios

  18. Table 27.6 M-Square for the Portfolio, Actual Forecasts

  19. Table 27.7 M-Square of Simulated Portfolios

  20. Concluding Remarks The gap between theory and practice has been narrowing in recent years The CFA is expanding knowledge base in the industry Specific lack of application of the Treynor-Black model may be related to lack of application of adjusting for analysts’ errors

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