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  1. Electronic copy available at: http://ssrn.com/abstract=1629786 1 Behavioral Portfolio Analysis of Individual Investors 1 Arvid O. I. Hoffmann * Maastricht University and Netspar Hersh Shefrin Santa Clara University Joost M. E. Pennings Maastricht University, Wageningen University, and University of Illinois at Urbana-Champaign Abstract: Existing studies on individual investors’ decision- making often rely on observable socio-demographic variables to proxy for underlying psychological processes that drive investment choices. Doing so implicitly ignores
  2. the latent heterogeneity amongst investors in terms of their preferences and beliefs that form the underlying drivers of their behavior. To gain a better understanding of the relations among individual investors’ decision-making, the processes leading to these decisions, and investment performance, this paper analyzes how systematic differences in investors’ investment objectives and strategies impact the portfolios they select and the returns they earn. Based on recent findings from behavioral finance we develop hypotheses which are tested using a combination of transaction and survey data involving a large sample of online brokerage clients. In line with our expectations, we find that investors driven by objectives related to speculation have higher aspirations and turnover, take more risk, judge themselves to be more advanced, and underperform relative to investors driven by the need to build a financial buffer or save for retirement. Somewhat to our surprise, we find that investors who rely on fundamental analysis have higher aspirations and turnover, take more risks, are more overconfident, and outperform investors who rely on technical analysis. Our findings provide support for the behavioral approach to portfolio theory and shed new light on the traditional approach to portfolio theory.
  3. JEL Classification: G11, G24 Keywords: Behavioral Portfolio Theory, Investment Decisions, Investor Performance, Behavioral Finance * Corresponding author: Arvid O. I. Hoffmann, Maastricht University, School of Business and Economics, Department of Finance, P.O. Box 616, 6200 MD, The Netherlands. Tel.: +31 43 38 84 602. E-mail: [email protected] 1 The authors thank Jeroen Derwall and Meir Statman for thoughtful comments and suggestions on previous versions of this paper. Any remaining errors are our own. Electronic copy available at: http://ssrn.com/abstract=1629786 2 I. Introduction The combination of increased self-responsibility for retirement and an aging population has led a growing number of people to become accountable for their own financial futures. Considering
  4. the significant impact of current investment choices on future lifestyles (Browning and Crossley, 2001), it is important to understand how individual investors differ when it comes to the triangular relationship among the decisions they make, the processes leading to these decisions, and the resulting investment performance. To date, our understanding of these relationships remains limited (Wilcox, 2003), as existing research either studies only part of this triangle (Nagy and Obenberger, 1994) or uses observable socio-demographic variables such as gender, age, or transaction channel to proxy for the underlying psychological processes that drive investors’ decision-making (Graham, Harvey, and Huang, 2009). 2 In so doing, these studies implicitly assume that investors in the same age bracket, having the same gender, or using the same transaction channel are homogenous in their underlying psychological processes and the impact these have on their decision-making. Recent literature on latent heterogeneity suggests that identifying the influence of
  5. unobservable variables such as investors’ preferences and beliefs is key to achieving a better understanding of financial market participants’ choices and behavior (Heckman, 2001; Pennings and Garcia, 2009). Unobservable, individual-level differences may help to explain the underlying mechanisms of a wide variety of behavioral anomalies (Dhar and Zhu, 2006; Graham et al., 2 A well-known finding is women’s outperformance of men, on a risk-adjusted basis, due to the accumulation of transaction costs by overconfident male investors who trade heavily (see e.g., Barber and Odean, 2000). Other important results are that older investors have better diversified portfolios and trade less aggressively than their younger counterparts (Dorn and Huberman, 2005; Goetzmann and Kumar, 2008), whereas investors switching from phone-based to online trading are found to trade more actively, more speculatively, and less profitably than before the switch (Odean and Barber, 2002). 3
  6. 2009; Lee, Park, Lee, and Wyer, 2008), but to date they have not been widely used to explain individual investors’ decision-making or performance. Our investigation into the role of individual differences focuses on the following questions: How do investors differ from each other in respect to the type of information upon which they rely to develop their strategies? How do investors differ from each other in respect to their general investing objectives and risk attitudes? To what extent do differences among investors impact the composition of their portfolios, trading activity, and investment performance? To address these questions, we develop a dynamic behavioral theoretical framework and an empirical study. The theoretical framework is a behavioral extension of the traditional Euler equation approach and combines preferences, beliefs, and other variables that are typically unobservable such as investors’ ambition level and risk attitude to explain how investors make portfolio choices. 3 As such, the framework reflects some of the essential features of behavioral
  7. portfolio theory (BPT) (Shefrin and Statman, 2000) and findings from studies on overconfidence (Barber and Odean, 2001; Kahneman and Lovallo, 1993). BPT emphasizes the role of behavioral preferences in portfolio selection and proposes that individual investors’ portfolio choices and consequently return performance reflect characteristics such as aspirations, hope, fear, and narrow framing. In this respect, BPT helps to explain why some investors simultaneously buy bonds and lottery tickets by investigating multiple objectives (e.g., protection from poverty at retirement and potential for a shot at riches) as well as aspirations (Statman, 2002). Studies on overconfidence emphasize the role of beliefs and help to explain why some investors are overly 3 In the remainder of this paper, we refer to “observable” variables when discussing variables that can be constructed from secondary data, such as transaction records, and “unobservable” variables when discussing variables that as a general matter cannot be observed using secondary data, but require primary data collection, such as our investor
  8. survey. Thus, although technically the latter variables are not “unobservable” for our sample we continue to use this terminology throughout this paper for reasons of consistency. 4 optimistic (Barber and Odean, 2001) and develop excessively bold forecasts (Kahneman and Lovallo, 1993). Our empirical study combines individual investors’ survey responses with their trading records to create a unique dataset combining soft and hard data over an extended time period. The survey allows us to directly measure investor characteristics that typically remain unobservable, such as their objectives and strategies. Instead of using proxies based on, for example, demographics, we directly measure these aspects of investors’ underlying preferences and beliefs (Graham et al., 2009). Together with their trading records, this allows us to relate investors’ decision-making processes with their observed choices instead of inferring the first
  9. from the latter (cf. Manski, 2004). We empirically identify different segments of individual investors, label and profile these segments, and compare their return performance. In doing so, we contribute to the literature in several ways. We (1) characterize some of the key ways in which individual investors differ from each other in terms of both preferences and beliefs, (2) develop a stylized dynamic behavioral portfolio selection model to explain how differences in preferences and beliefs lead to differences in investors’ portfolio decisions, (3) develop a series of hypotheses based on predictions stemming from the model, and (4) present a series of empirical findings, some of which serve to test our hypotheses, and some of which strike us as surprising and at odds with conventional wisdom. Our most striking result is that overtrading does not necessarily result in underperformance. Rather, underperformance depends on the circumstances. Investors with strong beliefs that stem from using fundamental analysis trade more frequently but still outperform investors using other strategies.
  10. II. Traditional Portfolio Analysis: Stylized Model 5 A traditional model of dynamic portfolio choice (Merton, 1971; Viceira, 2001) involves an expected utility maximizing investor choosing, at each time t, consumption (ct) and securities (xt = xt,1 …, xt,J) given initial wealth (W), a stochastic stream of labor income (Lt), and stochastic prices (qt). The standard Euler condition for this problem involves the purchase of a marginal unit of security j at time t, and requires that the marginal benefit of this purchase be equal to the marginal cost. The marginal benefit is the expected marginal utility of consumption at time t+1 generated by the marginal investment in security j. The marginal cost is the foregone marginal utility of consumption at time t, as the increased expenditure on security j comes at the expense of less consumption at time t. In the traditional model, the expected utility function has the
  11. form E( t t (u(ct)), where is a subjective time preference discount factor, and the expectation is taken over a subjective probability belief (P) which an investor associates with the underlying stochastic process. The Euler condition has the following form: qt,j u/ ct = E(qt+1,j u/ ct+1) (1) In words, purchasing an additional unit of security j at time t reduces consumption by qj,t units, with each unit reduction of consumption resulting in the decline in utility at t of u/ ct. At t+1, the additional unit of security j will result in the ability to purchase qj,t+1 units of consumption, whose consumption increases discounted utility by u/ ct+1. At the optimum, the foregone utility at t is exactly matched by the increased expected utility at t+1. 6 The traditional model postulates that investors’ subjective
  12. probability beliefs (P) are objectively correct, and implicitly assumes that markets are efficient. 4 In this setting, the purpose of the portfolio is to manage the risk profile of the investor’s consumption stream, based on initial wealth (W) and stochastic labor income (L). This means that the portfolio serves to hedge uncertain labor income so as to smooth consumption over time. Unless labor income is highly volatile, most trading activity would only involve marginal adjustments to a diversified portfolio with the purpose of rebalancing or dealing with liquidity needs to finance consumption. III. Behavioral Portfolio Analysis: Stylized Model The behavioral approach to portfolio choice emphasizes additional motives for trading besides rebalancing and consumption-related liquidity. These motives are connected to a series of phenomena documented in the behavioral literature including: Probability weighting and reference point effects involving
  13. gains and losses, psychophysics, emotions, and aspirations (Kahneman and Tversky, 1979; Lopes, 1987) Mental accounting (Thaler, 1985; Thaler, 2000) Ambiguity aversion (Fox and Tversky, 1995; Heath and Tversky, 1991) Status quo bias (Mitchell, Mottola, Utkus, and Yamaguchi, 2006). The disposition effect (Shefrin and Statman, 1985) The attention hypothesis (Barber and Odean, 2008) Lack of diversification (Benartzi and Thaler, 2001; Goetzmann and Kumar, 2008) 4 Operationally, this means that prices q can be expressed in terms of a stochastic discount factor m according to q = E(mx), where the expectation is formed with respect to (P). 7 Realization and evaluation utility (Barberis and Xiong, 2008) Insufficient saving due to a lack of self-control (Shefrin and Thaler 1988, Benartzi and
  14. Thaler 2007) A. Behavioral Euler Equation Consider a behavioral analogue to the traditional framework, which can capture the particular phenomena just described. We begin with a full optimization extension to (1), which we subsequently interpret in terms of a quasi-optimization analogue. Write the analogue of expected utility as an objective function U. Let U have as its arguments consumption stream c = [ct], portfolio choices x = [xt], changes in portfolio positions y = [xt – xt-1], prices q = [qt], and probability beliefs (P). The arguments c, x, and y are random variables, with c and x being the objects of choice. The inclusion of x, y, and q as arguments allows for an investor’s preferences to reflect not only consumption, but also the performance of his or her portfolio and the impact of gains and losses from trading. In the neoclassical framework, investors with predictable streams of labor income make small but frequent adjustments to their portfolios, by weighing
  15. the costs of foregone marginal current consumption associated with a marginal security purchase against the expected marginal future consumption so generated. Notice that the criterion driving portfolio choice is consumption and savings. In the corresponding behavioral framework, the consumption- savings feature is augmented by additional considerations. When a behavioral investor contemplates a marginal increase in his or her holdings xt,j of security j at time t, (s)he adds three additional components to the neoclassical calculus. Those components take the form of U/ xt,j, U/ yt,j, and U/ yt+1,j. The behavioral Euler condition is: 8 qt,j U/ ct = t+1 (qt+1,j U/ ct+1) + U/ xt + U/ yt - t+1 U/ yt+1 (2) The term t+1 (qt+1,j U/ ct+1) is the analogue to E(qt+1,j u/ ct+1), with the summation t+1 over
  16. the support of outcomes at t+1. The term U/ xt captures the effects of marginal evaluation utility, meaning the psychological feelings the investor experiences from the value of his or her portfolio at different points in time. Here an investor’s sense of wellbeing at a given moment, apart from his or her consumption, is enhanced when his or her portfolio grows, and is diminished when it falls. The terms U/ yt and U/ yt+1 capture realization utility (Barberis and Xiong, 2008), meaning the impact of trading a position. In this respect, an investor who sells at a gain might experience positive realization utility whereas an investor who sells at a loss might experience negative realization utility (cf. Thaler and Johnson, 1990). 5 The minus sign associated with the term t+1 U/ yt+1 in (2) reflects the fact that increasing xt reduces yt+1 = xt+1 – xt. B. Preferences: Evaluation Utility and Realization Utility In the stylized thought process that underlies condition (2), the investor’s decision regarding a security at time t balances the benefits from trading and holding
  17. a security against the associated costs. As in the neoclassical condition (1), increases in future consumption appear as benefits and decreases in current consumption appear as costs. As for the psychological benefits that appear on the right-hand-side of (2), consider the determinants of evaluation utility and realization utility. 5 Parenthetically, transaction costs can be captured by augmenting the model to feature both bid and ask prices. In the current framework, there is a single transaction price and so bid-ask spreads are zero. 9 Evaluation utility reflects the emotional experience associated with holding a position in a security. Among the determinants of evaluation utility are three variables described in Shefrin and Statman (2000) and Shefrin (2008), namely SP, , and P(A). The variable SP, known as a security-potential function, is similar to expected utility. It is
  18. associated with gains and losses to the value of a position, and relates to feelings associated with thrill-seeking, presence or absence of anxiety, and value- expressive benefits derived from, for example, holding stocks of socially responsible firms (Statman, 2004). In contrast to an expected utility function, SP features rank- dependent weights in place of probabilities. Rank-dependent weights reflect particular emotions, such as fear and hope. 6 Investors who are overly fearful act as if they overweight unfavorable events relative to more favorable events. Notably, although the probability weight attached to an event does not vary with portfolio decisions, the decision weight assigned to an outcome can vary with the position an investor takes in a security. In particular, when holding a long position in security j, a fearful investor will tend to overweight the probability that the return is negative. However, should the same investor instead hold a short position in security j, s(he) would overweight the probability that the return is positive.
  19. The variable refers to an aspiration level. For example, the investor’s aspiration might be that the portfolio s(he) selected at t-1 be worth at least t at time t. Correspondingly, P(At) is the probability the investor assigns to meeting that goal. Investors who set both high aspirations and high probabilities of achieving those aspirations are said to be ambitious. A key feature of the portfolio selection framework developed by Shefrin and Statman (2000) is that ambitious investors take on high risk. 6 Psychological-based decision theories tend to use an inverse-S shaped weighting function for distribution functions (Kahneman and Tversky, 1979; Tversky and Kahneman, 1992). This corresponds to a U-shaped weighting function for density functions in which probabilities of extreme events are exaggerated. . 10 The realization utility terms on the right-hand-side of (2) embody the impacts of pride or
  20. regret directly associated with the act of trading. Examples are the feeling of pride associated with selling at a gain or the feeling of regret associated with selling at a loss. C. Beliefs: Biases, Framing and Probability Weighting The behavioral approach emphasizes the importance of both preferences and beliefs. The discussion in the previous paragraphs has emphasized preferences. In shifting the emphasis from preferences to beliefs, we identify three key issues. First, investors typically have erroneous beliefs stemming from behavioral biases. Examples of biases are excessive optimism and overconfidence. Excessive optimism can lead investors to overestimate expected returns (De Bondt and Thaler, 1985), whereas overconfidence can lead them to underestimate risk (Barber and Odean, 2000; Odean, 1998). In conjunction, this can lead to forecasts which are too bold (cf. Kahneman and Lovallo, 1993). Moreover, most individual investors have only the vaguest notion of how security returns are jointly distributed (Benartzi and Thaler, 2001).
  21. Second, because of framing effects, behavioral investors ignore information relating to return covariance. This is the key reason underlying the violation of stochastic dominance in prospect theoretic choice experiments (Kahneman and Tversky, 1979). Therefore, the beliefs used in connection with (2) across securities might not be compatible with a single set of beliefs P. 7 Instead, we follow the approach of prospect theory with narrow framing and assume that investors’ beliefs consist of marginal distributions for each security, which are applied to (2) on a 7 In the behavioral model, investors seek to achieve equality (2) for each security, thereby balancing the marginal benefits and marginal costs of increasing the amount held of each security j. However, computing the values of U/ ct, U/ ct+1, U/ xt,j, U/ yt,j, and U/ yt+1,j is a tall order requiring full knowledge of the joint distribution of all security returns. For this reason, we postulate that investors use a heuristic approach to estimate marginal benefits and costs, and as a result select suboptimal portfolio strategies.
  22. 11 security by security basis. 8 In particular, investors are assumed to ignore covariances when choosing their portfolios. Third, preferences and beliefs interact through probability weighting. In this regard, decision weights are applied to subjective probabilities. However, both preferences and beliefs also combine to impact at least two other psychological phenomena, aversion to ambiguity and status quo bias, a topic to which we now turn. D. Ambiguity Aversion and Status Quo Bias Ambiguity aversion reflects discomfort stemming from a lack of knowledge of the underlying probabilities (Ellsberg, 1961). For example, knowing that an urn contains 100 balls, of which 50 are red and 50 are black is different from knowing that an urn contains 100 balls whose color is either black or red, but with no knowledge of the fraction of each. Status quo bias involves the
  23. tendency to preserve the status quo instead of to make a change from the status quo. Both aversion to ambiguity and status quo bias play key roles in the portfolio issues we analyze. Aversion to ambiguity can lead investors to hold relatively few securities, leading for example to x=0 for most securities. Status quo bias involves an underlying reluctance to trade (Samuelson and Zeckhauser, 1988), leading for example to y=0 holding much of the time. 9 8 Prospect theory takes as its starting point expected utility theory and replaces the utility function with a value function, probabilities with probability weights, and a single complex optimization with a collection of simpler optimizations. Notably, the value function and probability weighting function are consistent across the simpler optimizations. 9 An example that is often used to explain the relation between status quo bias and regret avoidance is the following. Suppose you own stock worth $1,000 in Company A and can exchange it for $1,000 of stock in Company B. Given
  24. your investment assessment, you choose to hold your current shares. Your neighbor holds $1,000 in Company B and, for reasons similar to yours, decides to switch his shares for $1,000 of Company A. During the next six months, the value of each person’s stock in Company A falls to $700. Which one feels the greater regret? According to the psychology literature, the answer is that your neighbor will experience more regret because he took an action that produced an unfavorable consequence, and can easily imagine having done otherwise. In contrast, you took no action, and so it is more difficult for you to imagine acting differently. 12 Notably, solutions featuring zero holdings (x=0) or zero trading (y=0) are instances of corner solutions. Shefrin (2008) points out that behavioral preference maps involving rank-dependent weighting feature many kinks, and these in turn give rise to corner solutions where marginal conditions like (2) fails to hold with equality. Aversion to ambiguity is manifest in a strong fear response, the fear that a highly unfavorable event will occur if the investor takes a decision with
  25. limited knowledge of the underlying probabilities. Such fear can lead an investor to view any non-zero position in a particular security as unattractive, be that position long or short. Formally, this would entail U/ xt < 0 for xt > 0 and U/ xt > 0 for xt < 0 with a point of non- differentiability (kink) at xt = 0. Similar remarks apply to status quo bias (in respect to U/ yt). Status quo bias does not mean that investors refrain from trading altogether, only that other forces must be strong enough to counter the bias. Aversion to ambiguity and status quo bias induce investors to hold a few securities rather than many, and to trade intermittently rather than continuously. Certainly, if at some point in time, the needs for hedging, rebalancing, and liquidity are sufficiently strong, investors will overcome status quo bias and trade. Likewise, investors can overcome status quo bias if they have enough confidence in their stock picking skills to feel little potential for regret (Kahneman, Knetsch, and Thaler, 1991), derive sufficiently high evaluation utility from their portfolios, or have bold enough forecasts (cf. Kahneman and
  26. Lovallo, 1993). Bold forecasts stem from conviction, a combination of familiarity, strong opinions, and confidence, just the opposite of ambiguity. Consider some of the findings in the psychology literature about the influence of information on decision makers’ degree of conviction. An often cited study of horse race handicappers by Slovic and Corrigan (1973) analyzes how confidence and accuracy change as functions of the amount of racing sheet information. Accuracy increases 13 with the amount of information, until a point of information overload is reached, after which it slightly declines (Oskamp, 1965). However, confidence increases steadily with the amount of information (Locander and Hermann, 1979). Hahn et al. (1992) confirmed that decision quality is an outcome of both time pressure and information load. The findings in Heath and Tversky (1991) on the determinants of ambiguity aversion
  27. provide further insight into the drivers of conviction. They show that ambiguity aversion is reduced by a sense of familiarity and expertise. Fox and Tversky (1995) establish that the degree of ambiguity aversion in a particular choice increases when decision makers contrast the choice with a situation in which he or she has more knowledge, or someone else has more knowledge. E. Setting the Stage for Hypotheses Development To set the stage for the development of our hypotheses, we recapitulate some of the interpretive features in the stylized behavioral Euler approach embodied within condition (2). In respect to preferences, consider (2) to be a dynamic extension of the mental accounting version of BPT in Shefrin and Statman (2000). Here securities are evaluated relative to goals defined by aspiration levels and success probabilities, with each mental account and associated aspiration level corresponding to a different goal (cf. Das et al., 2010). Examples of the types of goals we consider in the remainder of the paper relate to capital growth, retirement saving, hobby, and
  28. speculation (cf. Lewellen, Lease, and Schlarbaum, 1980). In this paper, we refer to these types of goals as “objectives.” As in BPT, condition (2) pertains to two points in time. However, unlike BPT, (2) contains terms pertaining to realization utility, which impacts trading behavior. In addition, the relative strength of the different terms in (2) is assumed to reflect the general nature of different types of 14 goals. For example, we think it reasonable to assume that realization utility is stronger for investors whose primary objective is thrill seeking than investors whose primary objective in investing involves savings for retirement. In respect to beliefs, we interpret the model as if investors are quasi-rational, relying on subjective marginal distributions rather than on joint return distributions. These distributions are all implicitly conditional. To this end, our paper focuses on the source of the conditioning. Examples include the media (financial news), past prior prices
  29. (technical analysis), and financial variables (fundamental analysis) (cf. Lease, Lewellen, and Schlarbaum, 1974). In this paper, we refer to these types of information sources as “strategies.” As a system, (2) is more akin to a consumer choice model than a mean-variance portfolio model. In this respect, securities are selected and held for their attributes, and their contribution to satisfying needs (cf. Wilcox, 2003). Just as each consumer purchases only a small subset of available products, so do behavioral investors hold only a small subset of available securities, at least directly. The determinants of which securities are held at any time reflect the interaction among ambiguity aversion, status quo bias, and boldness of beliefs, as in the “bold forecasts, timid choices” framework of Kahneman and Lovallo (1993). In addition, the quasi-rational feature of (2) might involve investors holding different types of securities, not because they value diversification, but because they have a taste for variety. Although variety might mimic diversification, investors ignore covariance information in (2), and so do not value diversification
  30. per se. In the next section we develop a series of hypotheses, based on the behavioral Euler condition (2) and some related assumptions. Our first major assumption is that (2) features the “bold forecasts, timid choices” property, in which forecasts need to be sufficiently bold to 15 overcome status quo bias. Our second major assumption is that investors implement (2) in a manner similar to making consumer choices, meaning that they do not value diversification per se, although they might have a taste for variety in their security holdings. Our additional assumptions pertain to the manner in which evaluation utility, realization utility, and aspiration variables vary across investor objectives, and confidence and accuracy vary across investor strategy. We develop these additional assumptions in the next section, where we use condition (2) to describe how variation in boldness across investor strategies, and variation in aspirations
  31. across investor objectives predicts variation in trading patterns and associated returns. IV. Hypotheses Overconfidence pertains to beliefs, and status quo bias pertains to preferences. The behavioral approach emphasizes the psychological features associated with both preferences and beliefs. In this paper, we focus on the role of investment objectives as a reflection of investor preferences, and the role of investment strategy as a reflection of investor beliefs. In this section, we develop hypotheses about the impact of both strategies and objectives. Our hypotheses relate to individual differences across the spectrum of investors. In this regard, overconfidence leads some investors to trade too much, while status quo bias leads other investors to trade too little (Goetzmann and Kumar, 2008; Rantapuska, 2006). Overconfidence leads investors’ forecasts to be excessively bold, while status quo bias leads to timid choices and inaction (Kahneman and Lovallo, 1993). As discussed below, in our framework, both features
  32. can operate simultaneously with the result that investors trade only intermittently, when their beliefs are sufficiently bold to outweigh status quo bias. 16 Status quo bias is strong. Mitchell et al. (2006) provide evidence that 80% of participants in 401(k) accounts initiate no trades in a two-year period, and an additional 11% make only one trade. Therefore, few investors in their sample rebalance. Similarly, Ameriks and Zeldes (2004) find that 50% of the investors in their sample do not rebalance over a nine year period. In a related vein, Choi et al. (2008) find that 80% of investors in 401(k) plans maintain the plan’s default savings contribution and investment option. Investors who trade rarely if ever lie at one end of the spectrum. At the other end of the spectrum lie investors who trade on a daily basis. Barber et al. (2009) report that 17% of traders in Taiwan are day traders. For most day traders, overconfidence is strong. In the main, our
  33. hypotheses deal with investors lying in the middle of the spectrum, where status quo bias and overconfidence operate in tension. Active trading stems from conviction. An overconfident investor with sufficiently high conviction in his or her stock picking skills will tend to overcome status quo bias and engage in frequent trading (cf. Kahneman and Lovallo, 1993). In respect to beliefs, our hypotheses for active traders focus on the nature of the information upon which investors rely, and the degree to which that information generates conviction. We suggest that variation in investors’ trading activity will be influenced by the nature of the information upon which their trading strategies depend. If investors possess information that generates high conviction, the resulting overconfidence leads to bolder forecasts. Bolder forecasts are able to overcome investors’ status quo bias that would otherwise cause timid choices and inaction. This relationship is a key feature of the hypotheses we develop below, especially in respect to trading strategies.
  34. A. Investment Strategies 17 First, compare investors who rely on fundamental analysis as a strategy with those who rely on technical analysis. Investors using fundamental analysis examine all underlying conditions relevant for future stock price developments. Besides financial statements, these include economic, demographic, and geopolitical factors. In contrast, investors relying on technical analysis only study the stock price movements themselves, believing that historical data provides indicators for future stock price developments. To us, this suggests that fundamental analysis typically involves more information than technical analysis (cf. Shleifer and Summers, 1990). Investors relying on fundamental analysis are therefore more likely to become more familiar with the firms they follow than investors relying on technical analysis. After all, fundamental analysis serves to focus primary attention on details pertaining to the firms themselves, whereas technical
  35. analysis focuses attention on price patterns generated by firms’ stocks. This focus on firm fundamentals instead of the kind of pattern recognition tasks inherent in technical analysis leads us to conclude that familiarity bias will tend to be stronger by investors relying on fundamental analysis than investors relying on technical analysis. In the language of Kahneman and Lovallo (1993), investors who rely on fundamental analysis are more inclined to adapt an “inside view” (Kahneman and Lovallo, 1993) and become overconfident than those who rely on technical analysis, as confidence is an increasing function of the amount of information (Locander and Hermann, 1979). We hypothesize that as a result their forecasts become bolder and they more easily overcome status quo bias, leading to less timid choices. Thus, based on condition (2) we expect investors who rely on fundamental analysis to trade more frequently than those who rely on technical analysis, ceteris paribus. In short:
  36. 18 H1: Relative to investors relying on technical analysis, investors relying on fundamental analysis will form bolder beliefs, and their greater overconfidence will induce them to trade more frequently. Apart from a very small segment of highly skilled investors who hold concentrated portfolios (Barber, Lee, Liu, and Odean, 2009; Goetzmann and Kumar, 2008), overtrading typically leads to underperformance due to the accumulation of transaction costs (Barber and Odean, 2000). As there is no a priori reason to expect that investors using fundamental analysis are more skilled than investors using other strategies, we expect: H2: Relative to investors relying on technical analysis, investors relying on fundamental analysis will earn lower risk and style adjusted returns. Second, compare investors who rely on fundamental analysis
  37. with those relying on their intuition. In the behavioral framework, investors do not place high intrinsic value on diversification. In the spirit of prospect theory’s isolation effect (mental accounting, narrow framing) (Kahneman and Tversky, 1979), investors act as if they implement condition (2) on a security-by-security basis, rather than as part of an integrated optimization. 10 As a result, status 10 Prospect theory is a boundedly rational theory of choice involving maximization of a weighted value function. The maximization does not typically correspond to a full optimization, as complex decision tasks are often simplified into smaller subtasks with important information about the subtasks being omitted. In this respect, the value function used to make decisions corresponds to a “proxy” of the decision maker’s utility function. Decision makers rely on proxies because they lack the ability required to compute utility. The use of proxies featuring omissions can result in suboptimal choice, of which a notable
  38. example is the selection of stochastically dominated risks. A key feature of prospect theory is that the value function and weighting function are common across decision tasks. In the present analysis, think of equation (2) featuring a proxy for the expected utility terms, in which the omitted information involves the contribution to utility from securities other than j. If we follow the prospect theory assumption, then the proxy will be the same across securities. 19 quo bias will typically lead to underdiversification. Ceteris paribus, (2) implies that investors holding more securities will tend to be those with stronger convictions in their stock picking skills and in possession of better and more information which leads them to make bolder forecasts (Kahneman and Lovallo, 1993). Only in these cases, will investors be able to overcome status quo bias and be willing to invest in multiple stocks and thus make less timid choices. As discussed previously, it is likely that the latter features correlate with reliance on fundamental analysis. As such, investors who rely on
  39. fundamental analysis will tend to hold a larger number of different stocks in their portfolios than other investors. 11 Conversely, investors who only rely on intuition, and therefore less information, will tend to have less conviction regarding their stock picking skills for most securities and their status quo bias leads them to make timid choices. As a result, these investors may be biased towards a small(er) number of stocks with which they are familiar (Huberman, 2001). Goetzmann and Kumar (2008) point out that as investors increase the number of stocks in their portfolios, they tend to choose stocks which co-move, thereby depriving themselves of the benefits of diversification. Moreover, to avoid feelings of regret (Kahneman et al., 1991) investors relying on intuition will exhibit a strong status quo bias and hold fewer securities in their portfolios. In short: H3: Investors relying on fundamental analysis will hold a larger number of different stocks in
  40. their portfolio than investors relying on intuition. B. Investment Objectives 11 The common proxy assumption implies that at the origin, the decision to trade is determined by whether or not the net benefit is sufficient to overcome the obstacle imposed by the kink, with the latter being common across securities. 20 Investment objectives are imbedded in investors’ preferences. Aspiration levels constitute an important component of objectives. A key implication of behavioral portfolio theory is that investors whose goals involve high aspirations act as if they have a high tolerance for risk, implying that investors who set high aspiration levels in combination with an associated high probability of achieving those levels, will tend to choose risky portfolios (Shefrin and Statman, 2000). Risky portfolios are portfolios that are more exposed to
  41. market risk and overweight small firms (Barber and Odean, 2001). Hence we hypothesize: H4: Investors with higher aspiration levels have higher risk profiles than investors with lower aspiration levels. H5: Investors with higher risk profiles will hold riskier portfolios (i.e. with higher exposure to the market and small-firm factors) than investors with lower risk profiles. As previously discussed, because of familiarity bias, investors who rely on fundamental analysis are likely to have high conviction in their stock picking skills. In addition to leading them to make bold forecasts, we suggest that familiarity also leads them to be more ambitious than investor whose beliefs feature more ambiguity. This is because ambiguity involves uncertainty about P(A), the probability of achieving the aspiration level. In turn, ambiguity aversion induces pessimism about P(A), which results in less risk taking. This leads to the following hypothesis:
  42. H6: Investors relying on fundamental analysis will have the highest aspirations and risk profiles. 21 The behavioral framework links investments objectives to trading behavior. In this regard, investors saving for retirement or building a financial buffer and investors who invest to speculate or exercise a hobby lie at opposite ends of a continuum. For investors who mainly invest as a hobby or to speculate, the second and third term in (2) loom large, as these relate to the benefits from (anticipated) evaluation utility (Barberis and Xiong, 2008) and thrill seeking (Grinblatt and Keloharju, 2006). To experience these positive emotions such investors will trade more frequently than other investors. Hence we hypothesize: H7: Investors who invest primarily as a hobby or to speculate will trade more frequently than investors whose primary investment objective is to build a financial buffer or save for retirement.
  43. Additionally, investors who mainly invest as a hobby or to speculate might have very high conviction, make bold forecasts, tolerate risk, and set ambitious targets. Indeed, recent literature shows that investors who trade to entertain themselves (Dorn and Sengmueller, 2009) or to speculate – essentially seeing stocks as a lottery ticket providing a shot at riches (Statman, 2002) – have higher aspirations and take more risk relative to investors who do not associate investing with gambling (Kumar, 2009). In contrast, investors whose primary investment objective is to build a financial buffer or save for retirement are likely to have lower aspirations and choose more conservative portfolios. In short: H8: Investors whose primary investment objective is to build a financial buffer or save for retirement have lower aspirations and take less risk than investors who invest primarily as a hobby or to speculate.
  44. 22 V. Data and Methods The analyses in this paper draw on transaction records of all clients and questionnaire data obtained for a sample of clients of the largest online broker in The Netherlands. Due to trading restrictions, we exclude accounts owned by minors (age <18 years). We also exclude accounts with a beginning-of-the-month value of less than €250 and accounts owned by professional traders to ensure we deal with active accounts owned by individual investors. Imposing these restrictions leaves 65,325 individual accounts with over 9 million trades from January 2000 until March 2006. A. Brokerage Records Opening positions as well as complete transaction records are available for all prospective participants of the survey, regardless whether they choose to participate or not, allowing us to
  45. control for sample selection bias. The typical record consists of an identification number, an account number, transaction time and date, buy/sell indicator, type of asset traded, gross transaction value, and transaction commissions. B. Survey Sampling and Selection In 2006, we designed and performed an online survey amongst all clients of the online broker. In total, 6,565 clients completed the questionnaire. To prevent biased responses, the purpose of the survey was framed in a neutral way and no reference to the objective of the study at hand was made. In the call to participate, respondents were requested to “provide their opinion of the online broker”. Brokerage clients who participated in the survey could win a personal computer 23 that was raffled amongst respondents who fully completed the questionnaire. Amongst other questions, the questionnaire probed for investors’ preferences as reflected in their investment
  46. objective, beliefs as reflected in their investment strategies, aspiration level as reflected by their ambition level, risk-taking behavior as reflected in the risk profile of their current investment portfolio, and their sophistication as reflected in their self- categorization into novice, advanced, or very advanced investor classes. Figure 1 provides an overview of the questions we used. After matching transaction records with questionnaire data, a sample of 5,500 clients and corresponding accounts remain for which both hard (transaction) and soft (survey) data are available and which have an account history of at least 36 months. [Figure 1 about here] C. Descriptive Statistics In Table 1 (Panel A) we report descriptive statistics for the respondents to the investor survey. We also report these descriptives for the non-respondents to test for selection bias (Panel B). Of the sample of 5,500 investors for which both accounting and survey data is available,
  47. 58% is male and the mean age is about 50 years. The mean (median) number of total trades over the sample period is 76.45 (30.00). Average (median) monthly turnover is about 42% (11%). The average (median) portfolio value is €45,915 (€15,234). Combining the average portfolio value with a total portfolio value of €50,000-€60,000 for the average Dutch investor (Bauer, Cosemans, and Eichholtz, 2009) indicates that our average client invests more than three-fourth of his or her total investment portfolio at this particular online broker, showing that we do not investigate investors’ “play accounts” (Goetzmann and Kumar, 2008) but deal with 24 representative and serious investor accounts. In fact, 40.8% of our survey respondents only hold an investment account at this particular broker. Of the respondents who do also hold an investment account at another broker, 51.6% indicate that this comprises less than half of their total portfolio. As a robustness check, we compare the results of investors who only invest
  48. through this particular broker with those who also have another brokerage account but find no significant differences regarding our hypotheses. Following Seru, Shumway, and Stoffman (2008) we measure experience by the number of months an investor has been trading since account opening. The results in Table 1 show that the mean (median) experience is about 40.21 (39.00) months. As compared to recent findings by Odean and Barber (2000) and Goetzmann and Kumar (2008) our investors’ portfolios are better diversified, although still far from well- diversified. The mean (median) number of stocks held by our investors is 6.57 (4.00) while the mean (median) Herfindahl-Hirschmann Index (HHI) is 27.78% (21.14%). Comparing the HHI with the normalized HHI (HHI*) indicates that investors’ portfolio weights are not uniformly distributed. Rather, investors distribute their overall portfolio value unevenly over different assets. Mean (median) monthly returns over the period 2000- 2006 are -0.30% (0.30%). On average, the respondents to the investor survey are relatively risk-seeking, with a mean (median)
  49. score of 5.31 (6.00) (1=very defensive, 7=very speculative). A comparison between the respondents to the investor survey (Panel A) with non- respondents (Panel B) shows that relative to non-respondents, the respondents feature more females, are older, transact more frequently, have higher portfolio values, are more experienced, better diversified (hold a larger number of different stocks and have a lower HHI), obtain a better monthly return performance, and take more risk (all p<0.00). Although the differences between survey respondents and non-respondents are relatively small, they suggest that the sample of 25 clients which completed the investor survey tend to be relatively sophisticated investors with a sizeable portfolio which adds to the relevance and importance of the study at hand. [Table 1 about here] D. Measuring Investor Performance
  50. Investor performance is defined as the monthly change in market value of all securities in an investor’s account (Bauer et al., 2009). End-of-the-month account value is net of transaction costs the investor incurred during the month. As performance is measured on a monthly basis, assumptions have to be made considering the timing of deposits and withdrawals of cash and securities. To be conservative, we assume that deposits are made at the start of each month and withdrawals take place at the end of each month. Analyses with the assumption that deposits and withdrawals are made halfway during the month yield similar results. Hence, we calculate net performance as )( )( 1 1 itit itititnet
  51. it DV NDWVV R , (3) where Vit is the account value at the end of month t, NDWit is the net of deposits and withdrawals during month t, and Dit are the deposits made during month t. Gross performance is obtained by adding back transaction costs incurred during month t, TCit, to end-of-the-month account value, )( )( 1 1 itit ititititgross it DV TCNDWVV R . (4) Only direct transaction costs (commissions) are considered. We do not add back any indirect
  52. transactions costs (market impact and bid-ask spreads). The trades of most individual investors are relatively small, making market impact costs unlikely. Moreover, Keim and Madhavan 26 (1998) show that bid-ask spreads may be imprecise estimates of the true spread, as trades are often executed within the quoted spread. E. Attributing Investor Performance To obtain investors’ abnormal performance, we attribute the returns on investor portfolios to different risk and style factors using the Carhart (1997) four- factor model. This model adjusts investor returns for exposure to market (RMRF), size (SMB), book-to-market (HML), and momentum (UMD) factors. Following Bauer et al. (2009), we construct these factors for the Dutch market, as our sample of investors mainly invests in Dutch securities. 12 The market return
  53. in the RMRF factor is represented by the return on the MSCI Netherlands equity index. All factor-mimicking portfolios are constructed according to the procedure by Kenneth French. 13 The following time series model is estimated to obtain risk and style adjusted returns: K k itk tikiit FR 1 . (5) In this model Rit represents the excess return on investor i’s portfolio, βik is the loading of portfolio i on factor k, and Fkt is the month t excess return on the k’th factor-mimicking portfolio. The intercept αi measures abnormal performance relative to the risk and style factors. The factor loadings indicate whether a portfolio is tilted towards market risk or a particular investment style.
  54. F. Segmenting Investors 12 In terms of volume (value) 95% (85%) of all trades are transactions in Dutch securities. This suggests the presence of a home bias among Dutch investors, which has previously been documented by French and Poterba (1991) for the US, UK, and Japan and by Karlsson and Norden (2007) for Sweden. Hence, we find that Dutch versions of the factor-mimicking portfolios lead to a better model fit than do international factors. 13 See http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_lib rary.html. 27 We group the 5,500 investors for which we obtained both hard transaction and soft survey data into groups based on their preferences or beliefs. Investment objectives pertain to preferences, whereas strategies pertain to beliefs.
  55. While the investors in our sample typically have only one investment objective (e.g., saving for retirement, building a financial buffer, speculate, exercise a hobby), they combine different strategies to attain this objective (e.g., combining financial news with intuition or professional advice). 14 Therefore, we use univariate sorting to distinguish different segments of investors based on investment objective (cf. Kumar, Page, and Spalt, 2009), but have to use cluster analysis to discern segments based on investment strategy (Hair, Anderson, Tatham, and Black, 1998). The univariate sorting results indicate five segments of investors based on their dominant investment objective. These segments are labeled Capital Growth, Hobby, Saving for Retirement, Speculation, and Building Financial Buffer. To distinguish segments of investors based on investment strategy, we use a non-hierarchical cluster analysis following Hair, Anderson, Tatham and Black (1998).
  56. 15 The cluster analysis groups together investors with similar scores on certain (combinations of) strategies. In particular, differences between segments in terms of scoring are maximized and within segments minimized (Punj and Stewart, 1983). This procedure leads to six segments, which are labeled 14 In its original specification, behavioral portfolio theory (Shefrin and Statman, 2000) is a static framework that describes an investors’ portfolio as consisting of multiple layers, each layer corresponding to a particular investment goal or objective. In this paper, we incorporate elements of behavioral portfolio theory into a dynamic framework to develop hypotheses about investors’ trading behavior on an ongoing basis, focusing on investors’ most important investment objective. 15 Nonhierarchical clustering procedures are less susceptible to outliers in comparison to hierarchical clustering procedures. In addition, unlike hierarchical clustering, K-means clustering as used in this study is able to analyze
  57. large data sets as this procedure does not require prior computation of a proximity matrix of the distance/similarity of every case with every other case (Punj and Stewart, 1983). 28 Financial News, Financial News and Intuition, Intuition, Technical Analysis, Fundamental Analysis, and Financial News, Intuition, and Professional Advice. Table 2 reports descriptive statistics for these segments in regard to a number of observable variables, while Table 3 does the same for the unobservable variables. Observable variables are variables which can be constructed from the secondary data (transaction records) as obtained from the online brokerage firm. Unobservable variables cannot be constructed using secondary data, but require primary data as obtained by our investor survey. [Tables 2 and 3 about here] VI. Profiling Investor Segments
  58. This section profiles the different segments of investors as obtained previously using a combination of observable and unobservable variables. A. Segments based on Investment Objectives Table 2 shows that male investors are especially well represented in the segments Hobby (0.62) and Speculation (0.64). The latter segments also contain the youngest (47.31 and 48.61 years, respectively) investors, whereas those in the segment Speculation also trade most heavily during the sample period (99.25 times). Monthly turnover is highest in the segment Speculation (78.87%) and lowest in the segment Saving for Retirement (26.44%). Investors in the segment Capital Growth have the largest portfolio value (€62,646) while Hobby investors have the smallest accounts in terms of value (€24,139). Investors Saving for Retirement are most 29 experienced (43.49 months) and best diversified both in terms
  59. of number of stocks and the HHI (holding 7.57 different stocks and having a HHI of 24.39%) while investors in the segment Speculation are least experienced (34.47 months) and less diversified (5.63 different stocks, HHI is 30.38%). 16 The profiles of the segments Speculation and Hobby thus obtained, containing younger male investors who overtrade and underdiversify, are in line with recent findings on speculative trading as gambling (Kumar, 2009) or entertainment (Dorn and Sengmueller, 2009). Table 3 demonstrates that the segment Speculation has the highest score on ambition level (3.52), the most speculative risk profile (5.80), reports to have the lowest percentage of novice investors (24.13%), and the highest percentage of advanced (59.74%) and very advanced (15.48%) investors, respectively. Together with the high turnover and dominance of males in this segment, these findings confirm and enrich earlier work that finds that especially male investors are subject to overconfidence and trade excessively (Barber and
  60. Odean, 2001). Additionally, these findings confirm the prediction by Statman (2002) that investors who perceive investing as playing the lottery may have particularly high aspiration levels and be subject to overconfidence. Not surprisingly, we find that investors in the segment Saving for Retirement have lower ambition levels (3.26), a less speculative risk profile (4.98) and are more modest about their level of sophistication (only 7.64% of this group of investors judge themselves to be very advanced). B. Segments based on Investment Strategy Table 2 shows that the fraction of males is highest (0.64) in the segment Fundamental Analysis and lowest in the segments Financial News and Financial News, Intuition, and Professional Advice (both 0.55). The number of trades during the sample period is highest for investors in the segment Fundamental Analysis (106.09 times) and lowest in the segment Intuition (59.80 times). 16 The tables also report HHI*, which measures the difference in
  61. HHI relative to equal weighting. 30 The previous combination of gender and turnover is consistent with earlier work by Barber and Odean (2001) who find that relative to women, men are overconfident and trade heavily. The combination of using fundamental analysis and excessive trading is in line with our expectations that especially investors who feel they have more complete information are likely to make bold forecasts and overcome their status quo bias, leading to less timid choices in terms of transaction frequency. The average age is highest (51.05) in the segment Financial News, Intuition, and Professional Advice and lowest (48.40) in the segment Intuition. Monthly turnover is highest (46.63%) in the segment Financial News and Intuition and lowest (36.20%) in the segment Technical Analysis. The segment Fundamental Analysis has the highest portfolio value (€72,509) while the segment Intuition has the lowest portfolio value (€31,379). Investors in the segment
  62. Financial News are most experienced (41.93 months) while those in the segment Technical Analysis are least experienced (37.34 months). We also find interesting differences between segments with regard to portfolio diversification. The segment Fundamental Analysis is best diversified (8.05 different stocks, HHI is 25.68%), while the segment Intuition has the worst diversification (5.68 different stocks, HHI is 30.56%). These investors may have less conviction in their capabilities as they have less complete information, resulting in forecasts that are more conservative and not sufficiently bold to overcome their status quo bias, leading to timid choices (cf. Kahneman and Lovallo, 1993). Table 3 demonstrates that investors in the segment Fundamental Analysis have the highest ambition level (3.43), while investors in other segments, such as Intuition (3.09) and Financial News (3.10) have more modest ambitions. In line with the previous results, investors in the segment Fundamental Analysis have the most speculative risk profile (5.52), whereas investors in the segment Financial News have the least speculative risk
  63. profile (5.09). Finally, whereas the 31 segments Fundamental Analysis (16.53%) and Technical Analysis (10.13%) have the highest percentage of investors who regard themselves to be very advanced, these numbers are considerably lower in the other segments, reaching a minimum in the segment Financial News (3.95%). The lower score of the latter category of investors indicates that they may be less likely to be overconfident about their own abilities. Instead of trying to make an independent estimate of a company’s attractiveness using, for example, fundamental or technical analysis, they rely on widely available financial news to make their investments. VII. Performance per Investor Segment In this section we compare the raw returns and alphas of the different segments of investors as previously identified. We expect important differences between segments in terms of
  64. performance due to the previously identified differences with respect to observable (e.g., turnover, age, transaction frequency, and portfolio diversification) as well as unobservable variables (ambition level, risk profile, sophistication) and the predictions of the behavioral portfolio framework. Table 4 reports the investment performance per investor segment. [Table 4 about here] A. Segments based on Investment Objectives Panel A of Table 4 shows that the segment Speculation has the worst raw return (gross), while the segment Capital Growth does best. The average investor in the segment Speculation loses 0.38% per month in gross terms, whereas the average investor in the segment Capital Growth gains 0.68% per month. 32 The right hand side of Panel A shows that the performance difference between the different
  65. segments of investors widens when transaction costs are taken into account. The return of the segment Speculation incurs the most transaction costs, which is intuitive considering this segment’s high turnover. The raw net return of this segment is now -2.22% per month, whereas the performance of the segment Capital Growth is still positive with 0.22% per month. After also adjusting for both risk and style tilts, the segment Capital Growth still achieves the best performance with a net alpha of -0.40%, whereas the segment Speculation remains the worst performer with a net alpha of -1.28%. The latter result is in line with the observable and unobservable characteristics of the investors in this segment. Investors whose objective is to speculate have high ambition levels, high risk profiles, high turnover, and judge themselves to be very advanced. These characteristics are typical for overconfident investors who overtrade and consequently underperform (Barber and Odean 2001). In addition, the factor loadings show that these investors are heavily investing in small cap stocks, which may be a risky strategy in
  66. combination with the lower levels of diversification we find for this segment. B. Segments based on Investment Strategy Panel B of Table 4 shows that the segment Technical Analysis has the worst raw return (gross), while the segment Financial News and Intuition does best, closely followed by Fundamental Analysis. The average investor in the segment Technical Analysis gains only 0.07% per month in gross terms, whereas the average investor in the segment Financial Analysis and Intuition gains 0.86% and Fundamental Analysis 0.76% per month, respectively. The right hand side of Panel A shows that when transaction costs are taken into account the segment Technical Analysis remains the worst performer and the segment Financial News and 33 Intuition stays the best. The raw net return of the segment Technical Analysis becomes negative at -0.92% per month, while the performance of the segment Financial News and Intuition stays
  67. mildly positive at 0.13%. This pattern also remains the same after adjusting for risk and style tilts, although the difference between segments now narrows. The segment Financial News and Intuition achieves the best performance with a net alpha of -0.46%, closely followed by the segment Fundamental Analysis, which obtains a net alpha of -0.47%. The segments Technical Analysis and Financial News, Intuition, and Professional Advice are the worst performers, having a net alpha of -0.73% and -0.71% per month, respectively. The superior performance of the segments Financial News and Intuition and Fundamental Analysis is interesting and suggests some stock- picking skills. 17 After all, these investors’ stock choices must be good enough to overcome the detrimental effect of the relatively high level of transactions of these segments. The inferior performance of the segment Financial News, Intuition, and Professional Advice is remarkable
  68. and suggests that the advice of investment professionals may not be very helpful for the performance of individual investors, but is associated with a relatively high number of transactions and turnover. Finally, the inferior performance of the segment Technical Analysis illustrates the limited usefulness of past stock market information for future return performance. VIII. Testing of Hypotheses This section reports the results of testing the hypotheses of the behavioral portfolio framework as presented in section IV. To determine whether investment objectives and strategies result in significant differences between investors regarding their investment behavior and return 17 It should be noted, however, that the alphas are negative across all groups. 34 performance we employ a series of t-tests and ANOVA’s (Hair
  69. et al., 1998). Detailed results are provided in Tables 2-4. As predicted by H1, investors relying on fundamental analysis are more overconfident than those relying on technical analysis as reflected by the higher proportion of fundamental traders who report to be either “advanced” (t(1584) = 5.64, p < 0.00) or “very advanced” (t(1584) = 3.78, p < 0.00) and the substantially larger proportion of technical traders who report to be “novice investors” (t(1584) = 9.05, p < 0.00). Additionally, as predicted, trading frequency is higher (t(1584) = 3.54, p < 0.00) for the more overconfident fundamental traders than for the less overconfident technical traders. Surprisingly, we have to reject H2, as despite their frequent trading, the risk and style adjusted return performance of fundamental traders is actually higher than those of technical traders (t(1584) = 2.06, p = 0.04). These results show that overtrading does not necessarily result in underperformance (cf. Barber and Odean, 2000). Rather, underperformance depends on the
  70. circumstances. In this case, we distinguish between traders relying on fundamental versus technical analysis. We find that although fundamental investors trade more, they may not be “overconfident” in the traditional sense, as their high level of confidence is actually warranted by a detailed insight in the underlying economic fundamentals and their frequent trading leads to higher returns even after accounting for transaction costs. These investors may learn by trading, leading to superior returns (cf. Glaser and Weber, 2007; Nicolosi, Peng, and Zhu, 2009). We accept H3: Investors relying on fundamental analysis are better diversified than investors relying solely on their intuition as represented by the larger number of different stocks that are held by the former group (t(1486) = 6.07, p < 0.00) and their lower HHI score (t(1420) = 3.83, p < 0.00). This result is in line with the discussion above, as relative to other investors, 35 investors relying on fundamental analysis use more information, which we hypothesize generates
  71. more conviction with respect to their stock-picking skills. Investors relying on fundamental analysis instead of intuition are more likely to be more sophisticated and therefore less impacted by behavioral biases (Dhar and Zhu, 2006), such as regret (Kahneman et al., 1991) and status quo bias (Samuelson and Zeckhauser, 1988), which can be related to under-diversification. Our tests confirm H4: Investors with higher aspirations (above- median ambition level) take more risk (t(5709) = 5.71, p < 0.00) as reflected by their risk profile (M = 5.37) than investors with lower aspirations (below-median ambition level) (M = 5.04). As such, we confirm a key feature of portfolio selection under the behavioral framework developed by Shefrin and Statman (2000): ambitious investors are more comfortable taking on high risk. We also confirm H5: The portfolios of investors with above- median risk profiles have higher exposure (t(2152) = 7.16, p < 0.00) to the market factor (M = 1.41) than investors with below- median risk profiles (M = 1.21). Also, investors with higher risk profiles invest more (t(2152) =
  72. 3.64, p < 0.00) in small caps (M = .71) than investors with below-median risk profiles (M = .59). Thus, investors with a higher tolerance for risk also select more risky portfolios as indicated by the respective factor loadings of their portfolios. In line with H6, investors relying on fundamental analysis have the highest aspirations as reflected by their ambition levels (F(5, 5452) = 17.35, p < 0.00) and take the most risk as reflected in their risk profile (F(5, 5258) = 7.70, p < 0.00). The latter result may be surprising from a “noise trader” perspective (Black, 1986) in which traders relying on technical analysis are the ones taking most risk, but is in line with a behavioral portfolio framework in which investors with the most information have the highest convictions in their stock picking skills, make bolder 36 forecasts, and set the most ambitious goals. To achieve these high aspirations, they ultimately take more risk than other investors (cf. Fisher and Statman, 1997).
  73. 18 Our tests confirm H7: Investors whose primary investment objective is to speculate or exercise their hobby trade more frequently (F(4, 5495) = 9.32, p < 0.00) than investors who invest primarily to build a financial buffer or save for retirement. Finally, the evidence confirms H8: Investors whose primary investment objective is to build a financial buffer or save for retirement have lower aspirations (F(4, 5453) = 17.38, p < 0.00) and take less risk (F(4, 5259) = 36.99, p < 0.00) than investors who invest primarily as a hobby or to speculate. IX. Conclusions Recent work (Barber et al., 2009) shows individual investors’ tendency to underperform relative to the market. To date, variables which are relatively easy-to- observe such as age, gender, and transaction channel have been used to explain this underperformance and are used as proxies for
  74. typically unobservable psychological biases such as overconfidence, loss aversion, and familiarity. To the best of our knowledge, the existing literature has not directly measured these biases using consumer behavior methods such as investor surveys (Graham et al., 2009). Neither has the existing literature positioned its findings of underperformance in a behavioral portfolio framework by employing underlying variables which are less easy-to-observe such as investment objective and strategy. 18 Behavioral portfolio theory acknowledges that different layers/parts of investors’ portfolios are connected to different intrapersonal risk profiles (Shefrin and Statman, 2000). 37 In this paper we use a unique dataset involving 5,500 individual investors which contains both “hard” accounting and “soft” survey data. We use these data to identify segments of
  75. investors based on their dominant investment objectives and the investment strategies they use. These investor segments are subsequently profiled using a combination of observable and unobservable characteristics. Finally, the cross-sectional return performance of different segments is analyzed and our behavioral hypotheses tested. Our explanation for differences in return performance between different segments of investors is novel in that instead of using proxies, we use a survey to measure directly investors’ underlying behavioral tendencies and psychological biases. We obtain data on a variety of variables which typically remain unobservable and combine this with a selection of observable variables. As such, we profile investor segments and test the hypotheses of our behavioral portfolio framework. In doing so, we contribute to the emerging, but limited body of literature investigating latent heterogeneity in finance (Heckman, 2001). Our results might be useful for policy makers, as they show that “the usual suspects” of individuals who trade excessively might differ from the actual culprits. We find that investors
  76. using fundamental analysis actually trade more than investors relying on technical analysis, which contrasts with the common belief but fits a behavioral portfolio framework. To the extent that fundamental investors “think” they know the underlying fundamentals that drive stock prices but actually do not, there is a clear target group for educational incentives that has not received the attention it deserves until now. These investors may be provided with questionnaires and self-administered investment quizzes to evaluate their true knowledge about market fundamentals and tailor-made education offered by government agencies or financial authorities. 38 Figure 1: variables constructed from survey responses Variables Answer categories Investment objective What is your most important investment objective with the investment portfolio at this brokerage firm?
  77. 1 - Capital growth: achieve a higher expected return than on a savings account 2 - Hobby: interest in stock market 3 – Saving for retirement: being able to stop working on an earlier age 4 – Speculation: try to profit from short-term developments on the stock market 5 – Building financial buffer: building a financial buffer for future expenses Investment strategy Which strategies do you use as a basis for your investment decisions (multiple answers possible)? 1 – Financial news: I base my investment decisions on financial news 2 – Intuition: I base my investment decisions on my personal intuition 3 – Technical analysis: I base my investment
  78. decisions on technical analysis 4 – Fundamental analysis: I base my investment decisions on fundamental analysis 5 – Professional advice: I base my investment decisions on the professional advice from an investment advisor 6 – Tips from others: I base my investment decisions on tips from others such as friends or family. 7 – Other Ambition level How ambitious do you consider yourself to be? 1 – I am not ambitious 2 – I am a bit ambitious 3 – I am moderately ambitious 4 – I am quite ambitious 5 – I am very ambitious Risk profile
  79. Investors answer a set of questions, measuring their sensitivity for losses, time horizon, and subjective probabilities of chance events. This leads to a categorization between 1 and 7. 1 – Saving (no investment in (risky) equity) 2 – Very defensive 3 – Defensive 4 – Careful 5 – Offensive 6 – Speculative 7 – Very speculative Investor Sophistication What kind of investor do you consider yourself to be? 1 – A novice investor 2 – An advanced investor 3 – A very advanced investor 39
  80. Table 1: descriptive statistics A: 5,500 Respondents of the Investor Survey Mean Std. Dev 5th Pctl 25th Pctl Median 75th Pctl 95th Pctl Gender (male =1) 0.58 Age in 2006 (years) 49.70 12.73 28.00 40.00 50.00 59.00 70.00 Trades (#) 76.45 132.00 1.00 9.00 30.00 83.00 311.00 Turnover (%) 42.40 121.00 0.00 3.89 10.99 31.48 173.05 Portfolio value (€) 45,915 142,576 1,057 5,321 15,234 42,406 166,840 Experience (months) 40.21 20.91 9.00 22.00 39.00 60.00 72.00 Number of stocks held 6.57 7.39 1.00 2.00 4.00 8.00 20.00 HHI (%) 27.78 23.28 1.10 9.80 21.14 39.73 78.42 HHI* (%) 17.20 21.55 0.16 4.06 9.06 20.74 70.69 Monthly Net Returns -0.003 0.059 -0.071 -0.010 0.003 0.010 0.041 Risk Profile (1-7) 5.31 1.61 2.00 4.00 6.00 7.00 7.00 B: 59,825 Non-Respondents of the Investor Survey Mean Std. Dev 5th Pctl 25th Pctl Median 75th Pctl 95th Pctl Gender (male =1) 0.61***
  81. Age in 2006 (years) 45.92*** 12.28 27.00 37.00 45.00 55.00 67.00 Trades (#) 44.41*** 104.00 0.00 2.00 10.00 38.00 210.00 Turnover (%) 33.10*** 189.00 0.00 0.50 4.50 17.26 128.51 Portfolio value (€) 28,253*** 163,483 542 2,289 7,158 21,703 106,459 Experience (months) 34.21*** 23.02 2.00 13.00 31.00 55.00 72.00 Number of stocks held 6.24*** 7.11 1.00 2.00 4.00 8.00 19.00 HHI (%) 35.99*** 20.71 1.00 21.64 36.81 47.29 76.05 HHI* (%) 25.85*** 26.00 0.01 7.63 17.41 32.31 91.09 Monthly Net Returns -0.02*** 0.095 -0.016 -0.023 -0.002 0.010 0.043 Risk Profile (1-7) 4.83*** 1.86 2.00 3.00 5.00 7.00 7.00 This table presents descriptive statistics for a sample of 65,325 investor accounts at a Dutch online broker. We split the sample into 5,500 investors who participated in our investor survey and 59,825 who did not. The sample period is from January 2000 to March 2006. The variables are defined as follows: Gender refers to the fraction of accounts hold by a male investor only. Age is the age in years of the main account holder. Trades is the total number of stock
  82. trades per account during the sample period. Turnover is the average of the value of all stock purchases and sales in a given month divided by the beginning-of-the-month account value. Portfolio value is the average market value of all assets in the investor’s portfolio. Experience is the number of months an investor has been trading. Number of stocks held refers to the number of different stocks an investor has in portfolio at the end of the sample period. HHI refers to the Herfindahl-Hirschmann Index value for an investors’ portfolio at the end of the sample period (the HHI is defined as the sum of the squared portfolio weights of all assets. For the purpose of the HHI calculations, mutual funds are assumed to consist of 100 equally-weighted, non- overlapping, positions). HHI* refers to the normalized index: (H – (1/N)) / (1 – (1/N)). Comparing HHI with HHI* makes clear how different the value from the index is from uniform weights. Monthly net returns is the average raw return per month corrected for transaction costs. Risk profile refers to the self-reported riskiness of investors’ portfolios (1=very defensive, 7=very speculative). The table shows for each variable the mean, median, and standard deviation, as well as 5 th , 25 th
  83. , 75 th , and 95 th percentile values. If there is a statistically significant difference between attribute means reported for the two samples (survey respondents and non-respondents), it is noted by asterisks in the mean columns of the non-respondent sample. The mean comparison tests allow for different variances within the two groups. ***/**/* indicate that the means are significantly different at the 1%/5%/10% level. 40 Table 2: descriptives per investor segment – observable variables Segments based on investment objective Gender (male=1) Age in 2006 (years) Trades (#) Turnover (%) Portfolio value (€) Experience (months) # Stocks held HHI (%) HHI* (%) Capital Growth (N=2422) 0.56 50.99 79.62 35.61 62,646 41.88 7.27 25.32 15.66
  84. Hobby (N=1395) 0.62 47.31 65.20 43.43 24,139 39.18 5.43 32.25 19.28 Saving for Retirement (N=353) 0.53 49.85 75.33 26.44 49,359 43.49 7.57 24.39 15.46 Speculation (N=688) 0.64 48.61 99.25 78.87 33,579 34.47 5.63 30.38 17.69 Building Financial Buffer (N=642) 0.55 50.85 65.13 35.46 45,915 40.53 6.39 28.82 19.21 P-value of F-test 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 (7.68)*** (21.83)*** (9.32)*** (20.03)*** (18.19)*** (20.15)*** (12.21)*** (15.52)*** (5.63)*** Segments based on investment strategy Gender (male=1) Age in 2006 (years) Trades (#) Turnover (%) Portfolio value (€) Experience (months) # Stocks held HHI (%) HHI* (%) Financial News (N=963) 0.55 50.64 67.04 44.71 38,992 41.93 5.69 28.27 17.96 Financial News and Intuition (N=1235) 0.58 50.44 82.49 46.63 57,227 39.87 7.39 26.99 16.34 Intuition (N=1442) 0.59 48.40 59.80 39.89 31,379 41.06 5.68 30.56 18.69 Technical Analysis (N=878) 0.58 49.35 79.11 36.20 39,470 37.34 6.11 26.82 16.39 Fundamental Analysis (N=708) 0.64 49.45 106.09 43.10 72,509 41.12 8.05 25.68 15.74
  85. Financial News, Intuition, and Professional Advice (N=274) 0.55 51.05 84.81 46.46 47,705 38.16 7.81 25.21 16.18 P-value of F-test 0.01 0.00 0.00 0.40 0.00 0.00 0.00 0.00 0.07 (2.99)** (5.82)*** (13.76)*** (1.03) (10.39)*** (5.98)*** (12.68)*** (4.37)*** (2.02)* This table presents descriptive statistics for a sample of 5,500 investor accounts at a Dutch online broker regarding a number of observable variables. We split the sample into 5 (6) segments using univariate sorting (cluster analysis) on investment objective (strategy). N refers to the number of investor accounts within each segment. The sample period is from January 2000 to March 2006. The variables are defined as follows: Gender refers to the fraction of accounts hold by a male investor only. Age is the age in years of the main account holder. Trades is the total number of stock trades per account during the sample period. Turnover is the average of the value of all stock purchases and sales in a given month divided by the beginning-of-the- month account value. Portfolio value is the average market value of all assets in the investor’s portfolio. Experience is the number of months an investor has been trading. Number of stocks held refers to the number of different stocks an investor has i n portfolio at the end of the sample period. HHI refers to the Herfindahl-Hirschmann Index value for an investors’ portfolio at the end of the sample period (the HHI is defined as the sum of the squared
  86. portfolio weights of all assets. For the purpose of the HHI calculations, mutual funds are assumed to consist of 100 equally-weighted, non-overlapping, positions). HHI* refers to the normalized index: (H – (1/N)) / (1 – (1/N)). Comparing HHI with HHI* makes clear how different the value from the index is from uniform weights. The table shows for each variable the mean. We report the p-value of F- tests to detect significance differences between segments, reporting the F-ratio between brackets. ***/**/* indicate that the means are significantly different between the segments at the 1%/5%/10% level. 41 Table 3: descriptives per investor segment – variables which are typically unobservable Segments based on investment objective Ambition (1-5) Risk Profile (1-7) Novice Investor (%) Advanced Investor (%) Very Advanced Investor (%) Capital Growth (N=2422) 3.21 5.15 37.57 54.50 7.31 Hobby (N=1395) 3.16 5.54 44.44 49.17 5.87 Saving for Retirement (N=353) 3.26 4.98 37.39 54.67 7.64 Speculation (N=688) 3.52 5.80 24.13 59.74 15.84 Building Financial Buffer (N=642) 3.15 5.05 39.88 54.98 4.67
  87. P-value of F-test 0.00 0.00 0.00 0.00 0.00 (17.38)*** (36.99)*** (20.80)*** (5.70)*** (20.08)*** Segments based on investment strategy Ambition (1-5) Risk Profile (1-7) Novice Investor (%) Advanced Investor (%) Very Advanced Investor (%) Financial News (N=963) 3.10 5.09 46.52 49.12 3.95 Financial News and Intuition (N=1235) 3.30 5.24 35.79 56.60 7.21 Intuition (N=1442) 3.09 5.43 48.06 46.12 5.48 Technical Analysis (N=878) 3.31 5.29 34.85 53.99 10.13 Fundamental Analysis (N=708) 3.43 5.52 15.25 67.80 16.53 Financial News, Intuition, and Professional Advice (N=274) 3.34 5.27 31.75 62.77 4.74 P-value of F-test 0.00 0.00 0.00 0.00 0.00 (17.35)*** (7.70)*** (54.11)*** (22.70)*** (23.97)*** This table presents descriptive statistics for a sample of 5,500 investor accounts at a Dutch online broker regarding a number of unobservable variables. We split the sample into 5 (6) segments using univariate sorting (cluster analysis) on investment objective (strategy). N refers to the number of investor accounts within each segment. The sample period is from January 2000 to March 2006. The variables are
  88. defined as follows: Ambition refers to the self-reported ambition level of an investor (1=not ambitious, 5=very ambitious). Risk profile refers to the self-reported riskiness of investors’ portfolios (1=very defensive, 7=very speculative). Novice/advanced/very advanced investor refers to the self-reported “sophistication” of investors and reports the percentage of investors per segment in each of the three categories. The table shows for each variable the mean. We report the p-value of F-tests to detect significance differences between segments, reporting the F-ratio between brackets. ***/**/* indicate that the means are significantly different between the segments at the 1%/5%/10% level. 42 Table 4: investment performance per investor segment Gross Returns Net Returns A: Segments based on investment objective 1 2 3 4 5 P-value of F-test 1 2 3 4 5 P-value of F-test Raw Return 0.0068 0.0034 0.0065 -0.0038 0.0057 0.00 (5.88)*** 0.0022 -0.0064 0.0003 -0.0222 0.0003 0.00 (25.02)***
  89. Alpha (Carhart) -0.0040 -0.0066 -0.0061 -0.0128 -0.0054 0.00 (13.51)*** Factor Loadings: RMRF 1.22 1.40 1.19 1.63 1.34 0.00 (19.50)*** SMB 0.57 0.75 0.56 0.86 0.66 0.00 (9.73)*** HML 0.22 0.24 0.21 0.27 0.21 0.48 (0.88) UMD -0.03 -0.05 0.01 0.00 -0.05 0.28 (1.28) Adj. R 2 (%) 64.45 58.65 64.42 56.53 63.12 0.00 (16.46)*** B: Segments based on investment strategy 1 2 3 4 5 6 P-value of F-test 1 2 3 4 5 6 P-value of F-test Raw Return 0.0041 0.0086 0.0025 0.0007 0.0076 0.0012 0.00 (3.65)*** -0.0027 0.0013 -0.0054 -0.0092 0.0003 -0.0065 0.00 (6.49)*** Alpha (Carhart) -0.0057 -0.0046 -0.0058 -0.0073 -0.0047 - 0.0071 0.00 (4.29)*** Factor Loadings: RMRF 1.31 1.32 1.33 1.24 1.30 1.32 0.60 (0.73) SMB 0.67 0.67 0.67 0.57 0.55 0.70 0.08 (2.00)* HML 0.26 0.24 0.21 0.20 0.22 0.17 0.19 (1.48)
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