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Chapter 15 Performance Measurement. How Should Investors Measure Risk?. Standard Deviation Investors with limited holdings Beta Investors with a wide array of holding. How Should Investors Select Funds?. Performance Indexes Provide a method of comparing funds with different
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How Should Investors Measure Risk? • Standard Deviation • Investors with limited holdings • Beta • Investors with a wide array of holding
How Should Investors Select Funds? Performance Indexes Provide a method of comparing funds with different risk-return characteristics
Performance Indexes • Sharpe’s Performance Index (PIS) • Treynor’s Performance Index (PIT) • Jansen’s Performance Index (PIJ) • Performance Indexes With APT(PIA)
Sharpe’s Performance Index • Based on the Slope of the CML • Uses Standard Deviation to Measure Risk • The Higher the Index • The better the performance • Investors Only Hold the Mutual Fund
Treynor’s Performance Index • Based on SML • Uses Bets to measure Risk • The Higher the Index • The better the performance • Investors Hold Many Assets • For Investors Only Interested in Whether They Beat the Market
Jensen’s Performance Index • Based on CAPM • Uses Beta to Measure Risk • Determines How Much One Fund Outperforms or Underperforms Another Fund • Determines the Significance of Results • Investors Hold Many Assets
Performance Indexes With APT • One or More Factors Determine Risk • Jensen’s Performance Measure • Examine the Difference Between • Actual and expected average rate of return • Determines the Significance of Results • For Investors Who Want to Compare Their Performance With Other Fund Managers
Summary • Standard Deviation Appropriate • Sharpe’s index • Beta Appropriate • Treynor’s index • Jensen’s index • One or More Factors Determine Risk • APT
Empirical Evidence For MFs • MFs performance Fall Behind the Market • MFs can not Outperform • Buy-the-market and-hold policy • International MFs Tend to do Better • Outperform the S&P 500 • Choice of market portfolio critical • Bond Funds Underperform the Indexes • Relationship • underperformance and the expense ratio
Can Fund Managers Time The Market? • Newsletters Failed • Performance Attributed To • Problems with performance indexes
Caution About Performance Indexes • Problems • Historical performance is used to infer future performance • Difficult to measure the risk of activity traded accounts • Bets is not stable • Depends on the choice of market index • Overall performance indexes cannot identify • What activities of the portfolio manager resulted in the performance
Performance Attribution Assessing the performance of the activities that make up portfolio management
Levels Of Decisions Causing Excess Returns • Top-Down Approach • Asset allocation • Sector Allocation • Industry allocation • Security selection