Masterarbeit, 2021
109 Seiten, Note: 1,7
1. Introduction
2. Fundamental theory and previous discoveries
2.1 Relative classification of the German stock market in an international context
2.2 The Evolution of Factor Models
2.3 Model accuracy and empirical evidence of factor models
2.4 Empirical significance of the established factors
2.5 Global and Germany specific return anomalies
3. Structural analysis of the German stock market
3.1 Basic characteristics and statistics
3.2 Factor spanning tests
3.3 Analysis of 3 x 3 sorting
3.4 Analysis of 2 x 2 x2 sorting
4. Analysis of anomalies in the German stock market
4.1 Descriptive statistics and significance of prominent anomalies
4.2 Multifactor regressions of prominent anomalies
4.3 Out-of-sample analysis of the net payout yield anomaly
5. Sector analysis of the German stock market
5.1 Descriptive statistics of sectors
5.2 Multifactor regressions for relevant sectors
5.3 Rolling window regressions of two relevant sectors
6. Fonds analysis of the German stock market
6.1 Descriptive statistics of active and passive managed fonds
6.2 Multifactor regressions of six representative fonds
6.3 Out-of-sample analysis of six representative fonds
7. Conclusion
This thesis examines the performance of modern multifactor asset pricing models within the German stock market. It aims to determine whether internationally recognized factor models—such as the Carhart four-factor, Fama-French five- and six-factor, q-factor, and Stambaugh-Yuan mispricing models—possess explanatory power for German equity returns, anomalies, sectors, and managed funds.
2.2 The Evolution of Factor Models
In order to answer the overarching research question: "How do internationally proven factor models perform for the German stock market?", we first need to get an overview of the fundamental principles of factor models. A short dive into the evolution of factor models at this point will help us to go deeper into this area than just knowing the model structure. Based on the portfolio theory of (Markowitz, 1952), independent of each other (Sharpe, 1964), (Lintner, 1965) and (Mossin, 1966) developed the Capital Asset Pricing Model, abb. CAPM, which definitively marked a milestone in the history of economics and was crowned with the award of the Nobel Prize in Economic Sciences in 1990. This model is the fundament of many other models, especially the factor models, which are thematically based on the CAPM.
How close to reality these assumptions are in relation to the stock market can certainly be discussed controversially, but ultimately it is in the nature of modeling to make assumptions and to break down complex interconnections in a sensible way. The reader's first impulse, probably raises the criticism that assumptions five to nine in particular do not hold for the stock market. Even if this criticism seems to be justified, it remains to be said that the stock market even comes relatively close to these assumptions if one compares, for example, liquidity or information equality with other markets, such as the real estate market. Furthermore, there is also a temporal component to consider. Increasing digitalization, especially in recent years, has also made it possible, for example, to trade fractional shares, and also to massively reduce transaction costs due to online brokers.
1. Introduction: This chapter introduces the overarching research question regarding the performance of modern asset pricing models in the German stock market and outlines the methodological approach.
2. Fundamental theory and previous discoveries: This section covers the theoretical foundations of factor models, starting from the CAPM, and discusses existing empirical evidence and identified return anomalies.
3. Structural analysis of the German stock market: This chapter provides an initial structural characterization of the German market, including factor spanning tests and various sorting techniques.
4. Analysis of anomalies in the German stock market: This section investigates a wide range of return anomalies to test their significance and explanatory power within the German equity market.
5. Sector analysis of the German stock market: This chapter analyzes industry-specific returns and performs multifactor regressions to evaluate sector performance and stability.
6. Fonds analysis of the German stock market: This final analytical chapter tests the applicability of factor models to actively and passively managed investment funds.
7. Conclusion: This chapter summarizes the empirical findings and answers the overarching research question, highlighting the versatility of the six-factor model.
Asset Pricing, Factor Models, German Stock Market, Multifactor Models, Market Anomalies, Carhart Model, Fama-French Five-Factor Model, Six-Factor Model, q-Factor Model, Mispricing Factor Model, Equity Funds, Sector Analysis, Portfolio Theory, Systematic Risk, Empirical Finance.
The research aims to evaluate how various internationally established multifactor asset pricing models perform when applied specifically to the German stock market.
The study investigates the Carhart four-factor model, the Fama-French five- and six-factor models, the q-factor model by Hou et al., and the mispricing factor model by Stambaugh and Yuan.
The paper utilizes various analytical methods including factor spanning tests, descriptive statistics, multifactor regressions of return anomalies, and rolling window regressions.
The core focus involves structural market analysis, return anomalies, industrial sector performance, and the explanatory power of these models regarding actively and passively managed funds.
The study first classifies the German market within an international context, comparing its size, industry composition, and ownership structure to major global markets like the U.S.
The study finds that while no single model is universally superior, the six-factor model is generally considered the most versatile across the tested scenarios.
Yes, the study identifies evidence of an inverted size effect for the German stock market, which contrasts with standard international findings.
The research utilizes rolling window regressions and specific sub-period correlation analyses (expansion vs. contraction) to observe how factor loadings change during volatile periods, such as the 2008 financial crisis.
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