Masterarbeit, 2009
93 Seiten, Note: A (German Grade: 1,0)
1 Introduction
1.1 Motivation and Objective
1.2 Course of the Investigation
2 Theoretical Overview
2.1 Methods of Fund Performance Measurement
2.1.1 Characteristics of a Reliable Performance Measure
2.1.2 The Treynor Ratio
2.1.3 The Sharpe Ratio
2.1.4 Jensen’s Alpha
2.1.5 The Sortino Ratio
2.1.6 The M² Measure
2.1.7 The Omega Measure
2.2 The Information Ratio
2.3 Sources of Active Returns: How to Beat the Benchmark
2.4 Agency Problems Related to Performance Measures
3 Data Description and Sources
3.1 Mutual Fund Selection
3.2 Benchmark Selection
3.3 Descriptive Statistics
4 Empirical Study on Selected Performance Measures
4.1 Is the Information Ratio a Reliable Measure of Performance?
4.2 The Information Ratio Versus Other Measures
4.3 The Art of Selecting the Benchmark
4.4 Does Data Frequency Matter?
4.5 Other Influences on Performance Measures
4.6 Performance Persistence: Outperformance by Luck or Skill?
4.7 Summary of Empirical Results
5 A Practical View on Performance Measurement
6 Conclusion
The primary objective of this thesis is to empirically evaluate the utility and reliability of the Information Ratio as a performance measurement tool for portfolio managers. By analyzing a comprehensive dataset of nearly 10,000 mutual funds, the research investigates whether the Information Ratio serves as a stable and precise indicator of skill, how it compares to alternative performance metrics, and how external factors such as benchmark selection and data frequency influence its validity.
1.1 Motivation and Objective
“I do not want a good General, I want a lucky one.” (Napoleon Bonaparte)
In contrast to Napoleon, investors typically do not want to pick a lucky person to administer their funds, but both Napoleon and the investor face a similar problem: how to separate the lucky from the skilled. Historic data shows that five out of one hundred portfolio managers achieve an outstanding performance just by luck, and statistics also reveal that luck – in most cases – does not persist over time. The lucky managers will, however, always cite their superior skills as a reason for their success, while the unsuccessful ones will place the blame on bad luck. By assessing all active managers on the two dimensions luck and skill, four groups are created. The separation of the skilled and lucky from the unskilled but lucky managers and the separation of the skilled but unlucky from the unskilled and unlucky managers is of special interest to all stakeholders in the investment industry. It is, therefore, the investor’s task to apply understandable guidelines, preferably on a quantitative basis, when it comes to evaluating a portfolio manager. On the other hand, it is the fund administration’s task to judge the performance of its managers objectively and to transfer the results into a variable remuneration scheme or to decide about the replacement of a certain manager. (Grinold & Kahn, 2000, pp. 478-480)
1 Introduction: Discusses the motivation for using quantitative performance measures to separate luck from skill in fund management and outlines the thesis structure.
2 Theoretical Overview: Reviews key performance measures including the Treynor, Sharpe, and Sortino ratios, and details the Information Ratio and the fundamental law of active management.
3 Data Description and Sources: Describes the selection process for the 9,632 mutual funds analyzed and the criteria used for benchmark selection and descriptive statistics.
4 Empirical Study on Selected Performance Measures: Analyzes the stability, reliability, and robustness of the Information Ratio across different timeframes, benchmarks, and data frequencies.
5 A Practical View on Performance Measurement: Complements empirical findings with insights from industry practitioners regarding real-world fund management requirements and limitations.
6 Conclusion: Summarizes the key findings, confirms the utility and limitations of the Information Ratio, and provides suggestions for future academic research.
Information Ratio, Portfolio Management, Performance Measurement, Active Management, Benchmark Selection, Tracking Error, Fund Performance, Performance Persistence, Sharpe Ratio, Sortino Ratio, Risk-Adjusted Return, Investment Funds, Quantitative Finance, Agency Problems, Active Share.
The thesis evaluates the usefulness and reliability of the Information Ratio as a performance measurement tool for distinguishing skilled portfolio managers from those who are merely lucky.
Besides the Information Ratio, the author examines the Treynor Ratio, Sharpe Ratio, Jensen’s Alpha, Sortino Ratio, M² Measure, and the Omega Measure.
The central question is: Is the Information Ratio a useful and reliable performance measure? This is addressed by testing its stability over time and across different asset classes.
The study uses empirical analysis of nearly 10,000 mutual funds, applying statistical tests such as the Wilcoxon signed-rank test and Pearson correlation, alongside a qualitative survey of industry practitioners.
The main body covers the theoretical background of performance metrics, the empirical dataset construction, rigorous testing of the Information Ratio against benchmarks and data frequencies, and a practical comparison with industry views.
Key terms include Information Ratio, active management, tracking error, benchmark selection, and performance persistence.
The thesis explains that the Information Ratio is closely linked to the manager's Information Coefficient (skill) and the breadth of investment decisions, serving as a framework for active portfolio construction.
No, the author explicitly advises against using the Information Ratio for money market funds due to their strong non-normal return distributions, which render the measure unreliable.
The study uses a quartile-based ranking system and analyzes performance persistence over rolling three-year periods to identify if managers can consistently outperform their benchmarks through skill.
The author discusses the Active Share measure as a necessary second dimension to complement the Information Ratio, helping to identify "closet indexers" who provide minimal active management despite higher fees.
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