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Tim Alexander Kroencke Understanding and Harvesting Expected Returns of Asset Classes, Investment Styles, and Risk Factors Inauguraldissertation zur Erlangung des akademischen Grades eines Doktors der Wirtschaftswissenschaften der Universita¨t Mannheim Vorgelegt im Fr¨uhjahrssemester 2013 Dekan: Dr. Ju¨rgen M. Schneider Berichterstatter: Prof. Dr. Erik Theissen Prof. Dr. Stefan Ruenzi Tag der mu¨ndlichen Pr¨ufung: 28. Mai 2013 Understanding and Harvesting Expected Returns of Asset Classes, Investment Styles, and Risk Factors Thesis Advisor: Professor Dr. Erik Theissen Author: Tim Alexander Kroencke Introduction The Tale of Ketchup Economics. P = E [M X ], or the price of an asset today should t t t+1 t+1 be equal to the future expected discounted value of its payoffs given the marginal utility of the investor as the discount factor. This simple concept is central in asset pricing. However, there are two polar approaches of asset pricing. Both can be clarified using Larry Summers’ famous tale of“ketchup economics”, summarized as follows (Summers (1985)): There are two groups of economists studying the ketchup market. The first group is calledgeneraleconomistsandthesecondgroupiscalledfinancialeconomists. General ketchup economists try to understand the prices of bottles of ketchup by looking at the market of tomatoes. They try to understand the fundamental sources of macroeconomic risk to determine the prices of bottles of ketchup. They are addicted to deep models with utility and production functions. Financial ketchup economists try to understand the prices of bottles of ketchup by looking at the ketchup market more deeply. They try to understand prices of bottles of ketchup relative to the prices of other bottles of ketchup. They love to exploit powerful arbitrage concepts. In this thesis, I study investment returns using both perspectives. I deal with the“financial ketchup economics”perspective in chapter 3 and chapter 4. The central asset pricing equation is 1 tested for a set of interesting test assets, whereby I approximate investor’s marginal utility with the returns of some benchmark assets. This approach allows me to quantify if the test assets provide economically sizeable and significant returns which are not feasible with the benchmark assets (i.e. diversification benefits) and to learn how investors can efficiently harvest them. Importantly, the bottom line of Summers (1985) is that there is insufficient research in the interstices between the financial and the economics approaches: “It is unfortunate [...] that researchers in economics pay so little attention to finance research, andperhapsmoreunfortunatethatfinancialeconomistsremainsoreluctant to accept any research relating asset prices and fundamental values.” Thus, after studying how to harvest returns, I turn to understanding returns. In chapter 1 and chapter 2, I investigate which macroeconomic sources of risk can explain average investment returns.1 In particular, these chapters are devoted to the construction and measurement of the fundamental risk factors driving expected returns of asset classes as well as popular investment styles. To this end, I follow Larry Summers’ suggestion and make use of concepts and methods from both approaches of“ketchup economics”. Harvesting Returns. I analyze how investors can gain some extra return from their interna- tional investment portfolio. International diversification is intended to improve the return per unit of risk, in the hope that returns across countries are not perfectly correlated (e.g. Grubel (1968) and Solnik (1974)). The chapter“International Diversification with Securitized Real Estate and the Veiling Glare from Currency Risk”showsthattheriskandreturncharacteristicsofglobalstocksandbondsare different from those of global real estate. Due to its local nature, real estate is subject to rather local factors and less so to global factors (Eichholtz (1996)). Thus, diversification benefits from international (listed) real estate are potentially larger than the benefits from common stocks. 1I present the papers of my thesis in reverse chronological order. 2 After accounting for systematic FX risk (Lustig and Verdelhan (2007), Verdelhan (2011)), which adds inter-asset and inter-country correlation, the paper finds evidence for this hypothesis. The recent literature has documented that particularly style-based investment strategies in FX markets provide attractive returns (e.g. Lustig and Verdelhan (2007), Pojarliev and Levich (2008), Menkhoff, Sarno, Schmeling, and Schrimpf (2012b), Asness, Moskowitz, and Pedersen (2012)). Thus, the FX component may not only add risk to a portfolio but can also be a source of additional diversification benefits. Thechapter“International Diversification Benefits with Foreign Exchange Investment Styles” studies the currency component of international stock and bond portfolios. While style-based investmentsandtheirroleforportfolioallocationinequitymarketshavebeenwidelystudied(e.g. Eun, Huang, and Lai (2008), or Eun, Lai, de Roon, and Zhang (2010)), there is considerably less knowledgeabouttheportfolioimplicationsofstyleinvestinginFXmarkets. Thepaperquantifies economically large and significant diversification benefits from simple FX investment styles like carry, momentum and value. Almost all previous research focuses on currency “hedging” in a portfolio context (e.g. Glen and Jorion (1993), Campbell, de Medeiros, and Viceira (2010)). In contrast, this chapter documents that style-based currency“speculation”can be quite attractive in a global portfolio. Understanding Returns. The remaining two chapters are located in the interstices between the two fields of“ketchup economics”and study the relationship between the real economy and investment returns. Before Summers (1985) as well as in the subsequent years, this kind of literature proceeded rather slowly with classic contributions by Chen, Roll, and Ross (1986), Breeden, Gibbons, and Litzenberger (1989), and Campbell (1996). The main issue is that the correlation between standard macroeconomic variables and financial returns is low, and thus, the returns of risky asset classes like equity (Mehra and Prescott (1985)), or specific investment styles like value and momentum (Fama and French (1993), Jegadeesh and Titman (1993)), seem to be too large to be justifiable. 3 More recently, starting with the new millennium, more promising attempts have been made by introducing novel macroeconomic variables as fundamental risk factors which are more suc- cessful (to name a few contributions, Lettau and Ludvigson (2001), Vassalou (2003), Parker and Julliard (2005), Petkova (2006), Jagannathan and Wang (2007), Savov (2011), Koijen, Lustig, and Nieuwerburgh (2012)). Indeed, today there is a “zoo” of fundamental factors which suc- cessfully explain several kinds of investment returns (Cochrane (2008)). As a consequence, it is quite difficult to assess how all these variables relate to each other. More specifically, many of these fundamental factors produce mixed results in different empirical settings, or differently motivated factors lead to very similar results. Thus, with these two chapters of my thesis at hand, I aim to analyze in a systematic manner properties, construction and measurement of several newly introduced fundamental risk factors to gain novel insights. The chapter “GDP Mimicking Portfolios and the Cross-Section of Stock Returns” studies popularGDP-basedmacroeconomicfactorsinaunifiedframework. AggregateGDPasameasure of fundamental risk is a popular risk factor in asset pricing. From an empirical perspective, aggregate GDP does not correlate well with stock returns and is not useful for explaining average returns. However, there is a stylized fact in macroeconomics, which has been so far ignored in finance: some components of GDP lead the aggregate, while some components of GDP lag the aggregate (e.g. Greenwood and Hercowitz (1991), Gomme, Kydland, and Rupert (2001), Davis and Heathcote (2005), Fisher (2007), Leamer (2007)). The paper documents that leading GDP components can explain the size premium and the value premium quite well. The opposite is documented for the momentum premium. The lagging GDP components explain the return of momentum portfolios very well. A three-factor model with the market excess return, one leading and one lagging GDP component compares very favorably with the Carhart four-factor model in jointly explaining a large cross-section of size, book-to-market, momentum, and industry portfolio returns. Finally, the chapter “Asset Pricing without Garbage”, which also serves as my Job Market Paper, looks more deeply at consumption as a fundamental risk factor. The key contribution 4 is that the paper exploits insights from state space analysis to provide an explanation for the bad performance of traditional consumption measures (Mehra and Prescott (1985), Breeden, Gibbons, and Litzenberger (1989)) and the good performance of recently proposed alternative consumption measures in the classical consumption-based asset pricing model (Parker and Jul- liard(2005), JagannathanandWang(2007), Savov(2011)). Morespecifically, thepaperprovides an explanation of why garbage as a measure of consumption implies a several times lower coef- ficient of relative risk aversion in the consumption-based asset pricing model than consumption based on the official National Income and Product Accounts (NIPA). Unlike garbage, NIPA consumption is filtered to mitigate measurement error. The paper applies a structural model of the filtering process, which allows to revoke the filter inherent in NIPA consumption. “Unfiltered NIPA consumption”performs as well as garbage in explaining the equity premium and risk-free rate puzzle. Furthermore, the paper documents that two other popular NIPA-based measures, three-year and fourth-quarter NIPA consumption, are related to unfiltered NIPA consumption. Both can be viewed as ad hoc unfilter rules. 5 Contents Asset Pricing without Garbage 1 16 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.2 Measurement Error, Filtering, and Time Aggregation in Consumption Data . . . . . . . . . . . . . . . . . . . . 21 1.3 Stylized Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.4 Accounting for Time Aggregation . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1.4.1 Simulation Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 1.5 Asset Pricing without Garbage . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 1.5.1 Comparison of Alternative Consumption Measures . . . . . . . . . . . . . 31 1.5.2 Equity Premium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 1.5.3 Cross-Section of Stock Returns . . . . . . . . . . . . . . . . . . . . . . . 42 1.5.4 The Best of two Measures: A Combined Approach . . . . . . . . . . . . 45 1.6 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 GDP Mimicking Portfolios and 2 the Cross-Section of Stock Returns 52 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 2.2 Stylized Facts: Lead and Lag in GDP Components . . . . . . . . . . . . . . . . . . . . . . . . . 55 2.3 GDP-Mimicking Portfolios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 2.4 Model, Estimation, and Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 2.5 Asset Pricing Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 2.5.1 Dissecting GDP and the Cross-Section of Stock Returns . . . . . . . . . 68 2.5.2 A GDP-Based Three-Factor Model . . . . . . . . . . . . . . . . . . . . . 73 2.6 Robustness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 6 2.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 International Diversification Benefits 3 with Foreign Exchange Investment Styles 88 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 3.2 Related Literature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 3.3 FX Investment Styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 3.4 Data and Portfolio Construction . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 3.5 Empirical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 3.5.1 Risk and Return Characteristics . . . . . . . . . . . . . . . . . . . . . . . 101 3.5.2 Mean-Variance Efficiency Tests . . . . . . . . . . . . . . . . . . . . . . . 105 3.5.3 Out-of-Sample Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 3.5.4 Summary of Main Results . . . . . . . . . . . . . . . . . . . . . . . . . . 119 3.6 Further Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 3.6.1 Value and Momentum Everywhere . . . . . . . . . . . . . . . . . . . . . 121 3.6.2 Accounting for Skewed Returns . . . . . . . . . . . . . . . . . . . . . . . 124 3.6.3 Market States . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 3.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 Securitized Real Estate and 4 the Veiling Glare from Currency Risk 137 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 4.2 Literature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 4.3 Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 4.3.1 Spanning Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 4.3.2 Currency Risk and Hedging . . . . . . . . . . . . . . . . . . . . . . . . . 144 4.4 Data and Descriptive Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 4.5 Empirical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 7 4.6 Further Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155 4.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 A Asset Pricing without Garbage 180 A.1 Simulation: Details on the Asset Pricing Economy . . . . . . . . . . . . . . . . . 180 A.2 Empirical Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182 B GDP Mimicking Portfolios and the Cross-Section of Stock Returns 184 B.1 Estimation without Intercept . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 B.2 Growth Rates of Components . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 B.3 Additional Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 C Foreign Exchange Investment Styles 204 C.1 Data Archive . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204 C.2 Dissecting Currency Hedging and Speculation . . . . . . . . . . . . . . . . . . . 217 C.3 Stochastic Dominance Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218 C.4 Additional Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 8

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Author: Tim Alexander Kroencke. Introduction. The Tale of Ketchup Economics. Pt = Et [Mt+1Xt+1], or the price of an asset today should be equal to the
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