Media Makes Momentum
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1 Media Makes Momentum Alexander Hillert, Heiko Jacobs and Sebastian Müller University of Mannheim July 2014 Corresponding author: Alexander Hillert, Finance Department, University of Mannheim, L 9, 1-2, Mannheim, Germany. [email protected]. Phone: Heiko Jacobs, Finance Department, University of Mannheim, L 5, 2, Mannheim, Germany. [email protected]. Phone: Sebastian Müller, Finance Department, University of Mannheim, L 5, 2, Mannheim, Germany. [email protected]. Phone: We wish to express our thanks to David Hirshleifer (the editor), two anonymous referees, Stefano DellaVigna, Markus Glaser, David McLean, Peter Nyberg, Joel Peress, Stefan Ruenzi, Martin Weber as well as seminar participants at the Second Helsinki Finance Summit on Investor Behavior, at the 2013 Financial Intermediation Research Society (FIRS) Conference, at the 2013 Campus for Finance Conference, at the Second European Retail Investment Conference (ERIC), at the 20th Annual Meeting of the German Finance Association (DGF), at the 16th Annual Conference of the Swiss Society for Financial Market Research (SGF), at the University of Mannheim, at the LMU Munich, as well as at the University of California, Berkeley. Parts of this research project have been conducted while the second author was at the University of New South Wales and while the third author was at the University of California, Berkeley. The latter was generously supported by a fellowship within the Postdoc- Program of the German Academic Exchange Service (DAAD). Moreover, we are grateful for financial support from the Julius Paul Stiegler Memorial Foundation. All remaining errors are our own. 1 Electronic copy available at:
2 Relying on 2.2 million articles from 45 national and local U.S. newspapers between 1989 and 2010, we find that firms particularly covered by the media exhibit ceteris paribus significantly stronger momentum. The effect depends on article tone, reverses in the long-run, is more pronounced for stocks with high uncertainty, and stronger in states with high investor individualism. Our findings suggest that media coverage can exacerbate investor biases, leading return predictability to be strongest for firms in the spotlight of public attention. These results collectively lend credibility to an overreaction-based explanation for the momentum effect. Keywords: momentum, media, overreaction, attention effects, investor biases JEL Classification Codes: G12, G14 2 Electronic copy available at:
3 1. Introduction The momentum effect is among the strongest and most pervasive return anomalies. While its existence has been convincingly documented in different time periods, countries, indices, and asset classes 1, a central issue is still far from being resolved: what are the underlying causes of momentum? Why exactly do winner stocks of the recent past tend to outperform loser stocks of the recent past? The goal of this paper is to employ an extensive media data set to shed new light on this long-standing debate. Recent research demonstrates that media coverage directly affects the way in which investors collect, process, and interpret information (e.g. Engelberg and Parsons (2011), Tetlock (2007)). Collectively, findings suggest a potentially important role for the media in shaping the behavior of the stock market (Hong and Stein (2007), p. 118). The interesting link to the momentum literature lies in the fact that investors attention and information processing also play a crucial role in prominent behavioral theories of momentum as we outline below. 2 For our study, we rely on a novel and carefully constructed data set of newspaper articles. It comprises approximately 2.2 million news stories in four leading national as well as 41 local 1 The momentum effect was first described in Jegadeesh and Titman (1993). For U.S. stock momentum in earlier and later time periods see e.g. Chabot, Ghysels, and Jagannathan (2009) and Fama and French (2008), respectively. For international evidence, see for instance Asness, Moskowitz, and Pedersen (2013), Chui, Titman, and Wei (2010), Fama and French (2012), and Rouwenhorst (1998). For momentum at the stock index level, see e.g. Chan, Hameed, and Tong (2000) or Moskowitz, Ooi, and Pedersen (2012). Momentum effects in other asset classes have been identified in e.g. Asness, Moskowitz, and Pedersen (2013) or Erb and Harvey (2006). 2 The profitability of momentum is difficult to reconcile with rational asset pricing models. For instance, Chui, Titman, and Wei (2010) note (p. 362): Given the magnitude of momentum profits, about 12% per year in the United States and Europe, they are unlikely to be explained by risk-based theories. Consistent with this view, most theoretical and empirical work focuses on behavioral approaches to explain momentum. 3
4 U.S. newspapers from 1989 to 2010, which we match to 7,815 firms. The essence of our findings is captured in figure 1. Insert figure 1 here The cumulative profits for a winner minus loser long-short portfolio are displayed separately for stocks in the highest media coverage quintile (bright solid line) and lowest quintile (dark solid line). Media coverage is based on the number of firm-specific articles in the New York Times, the USA Today, the Wall Street Journal, and the Washington Post, published in the six months of the return formation period. Importantly, we rely on a residual from cross-sectional regressions which control for firm variables known to drive the probability of being covered (most notably firm size). While we describe the methodology in detail in the next section, the basic advantage is that we can better isolate the true impact of (excess) appearance in the media. The plot reveals a clear and economically strong positive relation between residual media coverage and the size of initial momentum profits and subsequent reversal. The winner minus loser spread amounts to approximately 6.3% after six months in the high media coverage portfolio, but only to 2.1% in the low media coverage portfolio. The resulting 4.2% return difference closely corresponds to a monthly return spread of 68 basis points (bp) that we obtain using the Jegadeesh and Titman (1993) portfolio construction procedure. The difference in momentum profits mostly can be attributed to the winner side, it is economically large (the unconditional momentum return over the sample period is just 65 bp per month), and highly statistically significant with a t-statistic of 3.7. However, this media-based momentum is not a permanent effect. Ten months after portfolio formation, the reversal begins for both momentum portfolios, but it is substantially stronger in the high media coverage portfolio. As a consequence, the cumulative return difference between 4
5 both portfolios shrinks towards zero after 36 months. The overall pattern in figure 1 is very robust. Given the endogeneity of press articles, we are careful in making sure that we do not simply pick up a spurious correlation between media coverage and momentum. For instance, newspapers may be more attentive towards firms that did particularly well or poorly in the recent past. If the extremity of past returns was also systematically related to momentum profitability, then not controlling for this effect would lead to the incorrect conclusion that media coverage per se, and not its interaction with formation period returns, causes stronger momentum. As recently uncovered by Bandarchuk and Hilscher (2013), this line of reasoning indeed affects the role of several stock-level variables such as analyst coverage or turnover which have previously been argued to enhance momentum profits. Applying the same methodology, we find that media coverage is among the very few surviving characteristics and thus qualifies to convincingly support behavioral momentum explanations. Our baseline findings of momentum and reversal effects that are (all else equal) more pronounced for firms with high media coverage are suggestive of an overreaction explanation in the spirit of Daniel, Hirshleifer, and Subrahmanyam (1998). The authors advocate a model in which momentum arises as a result of two central investor biases: overconfidence and self-attribution. Mistaken beliefs lead investors to overweight (underweight) subsequent public signals which confirm (contradict) their initial private information. Confirming news will be considered as evidence of one s own skills, whereas disconfirming news will largely be neglected. As a consequence, overconfidence increases even further and prices temporarily overshoot, before the mispricing is gradually corrected. Coverage in popular newspapers catches investors attention (e.g. Engelberg and Parsons (2011), Solomon, Soltes, and Sosyura (2013)) and may also be seen as an indicator that a firm is in the spotlight of public discussion. At the same time press articles in popular newspapers often 5
6 contain rather vague, ambiguous, or simply stale information that is less value-relevant (see e.g., Gurun and Butler (2011), Huberman and Regev (2001), Solomon (2012), Tetlock (2011)), and investors are likely to rely on them to form their opinions (Zingales (2000), p. 1628). This suggests that media coverage (in contrast to e.g. newswires) might be considered to be a good proxy for attention to stale news about a firm. Moreover, individuals tend to be particularly overconfident and overreactive in settings where more judgment is required in order to evaluate ambiguous information (see e.g. Daniel and Titman (2006) and the references therein). While the first signal in Daniel, Hirshleifer, and Subrahmanyam(1998) is referred to as private, it really reflects intangible or vague information that could appear in public sources. Hence, in the context of the model, articles in newspapers measured during the momentum formation period might be best thought of as the first signal that acts as a confirmation device when later public, tangible, informative signals arrive. Byun, Lim, and Yun (2013), Cooper, Gutierrez, and Hameed (2004), Da, Engelberg, and Gao (2011), and Hou, Peng, and Xiong (2009) all provide empirical support for the line of reasoning behind Daniel, Hirshleifer, and Subrahmanyam (1998). Our study differs from this work in two respects: first, we propose residual media coverage as a proxy related to the first signal in the model setting. Second, in addition to our baseline analysis, we design several conceptionally diverse tests aimed at exploring how investor overconfidence, a central ingredient in the model, influences the magnitude of media-based momentum. In this in-depth analysis, we exploit unique features of our media data as an attention proxy. As such, we first evaluate the qualitative content of the articles using the dictionary method developed in Loughran and McDonald (2011). Our results, which are depicted in figure 1 as well (bright dashed line), indicate that both media-based momentum and subsequent reversal are stronger among the subset of stocks for which the article tone matches the formation period 6
7 return. This finding is consistent with the idea that an initial media-based signal for a winner stock might be seen as more (less) favorable if the tone is also particularly positive (negative). Second, we find that our results are roughly twice as large for stocks with high uncertainty as for stock with low uncertainty. Third, and motivated by the cross-country analysis of Chui, Titman, and Wei (2010), we use local newspaper coverage to document that media-based momentum tends to be stronger among U.S. states with higher individualistic tendencies. Overall, substantial evidence indicates that the media s role on momentum profits can be explained by investor overreaction and that overconfidence appears to be a major driver behind this effect. In later parts of the paper, we discuss to what extent alternative momentum theories, such as the ones of Lee and Swaminathan (2000) or Tetlock (2011), may be able to explain our results as well. In addition to our contribution to the momentum literature, our paper is also linked to the emerging literature on the role of media in financial markets. Indeed, there is a controversial debate on whether media coverage makes capital allocations more efficient. On the one hand, coverage has been argued to disseminate information to a broad audience (Fang and Peress(2009)), to reduce information asymmetries(tetlock(2010)), and to potentially lead to faster diffusion of new information as shown for specific events (e.g. Huberman and Regev (2001), Peress (2008)). This connects it to the gradual information diffusion model of Hong and Stein (1999) which argues that momentum is primarily caused by investor underreaction to fundamentally relevant information. The intuition behind the model has received empirical support in e.g. Ang, Shtauber, and Tetlock (2013), Chan (2003), Da, Gurun, and Warachka (2013), or Hong, Lim, and Stein (2000). Nevertheless, if one is willing to assume that excess media coverage ceteris paribus increases the speed of information dissemination, then we might expect momentum to be less (and not more) pronounced in high media coverage stocks. 7
8 In this respect, Chan (2003) is probably the one closest to our study. He analyzes differences in stock price reactions subsequent to large absolute returns in the previous month depending on whether the underlying company was mentioned in a headline or lead paragraph. He finds evidence of a strong drift without a reversal after bad news, which he interprets as evidence of slow information diffusion. While the appendix provides a detailed discussion, the major factors behind the partly different results in our study are as follows: first, his findings appear to be considerably driven by articles from newswires, which are likely to proxy for the arrival of valuable news. Second, the reported return drift is largely restricted to smaller and more illiquid stocks whereas we concentrate on larger, easily investable firms following Jegadeesh and Titman (2001). Third, there are important methodological differences. For instance, Chan (2003) relies on a binary analysis by quantifying whether a stock had coverage or not. In contrast, we compute an excess coverage measure which quantifies the unexpectedly high or low weight the media attaches to a given firm over a six month period, holding important characteristics such as firm size fixed. On the other hand, recent work has also identified a dark side of media coverage by arguing that it can induce temporary stock price distortions (e.g. Dougal et al. (2012), Engelberg, Sasseville, and Williams (2012), Garcia (2013), Gurun and Butler (2011), Tetlock (2007)). This stream of the literature suggests that popular press coverage may contribute to investor biases, such as overreaction to stale information. Indeed, our results suggest that it is not always the neglected corners where the violation of the weak form of market efficiency is particularly pronounced. Instead, excess media coverage seems to exacerbate investor biases so that momentum and reversal effects can be strongest for firms in the spotlight of public attention. 8
9 2. Data and empirical setup Our initial sample consists of all common stocks traded on NYSE, AMEX or NASDAQ that appear on both CRSP and Compustat at any time during 1989 and To ensure that our findings are not driven by small illiquid stocks or bid-ask bounces, we follow Jegadeesh and Titman (2001) and exclude stocks with a market capitalization below the first NYSE size decile and stocks with prices below $5 at the end of the formation period. For all companies, we then collect newspaper articles from LexisNexis. Depending on the specific focus of the different tests in this study, we rely on major national newspapers, local newspapers, or both. For the baseline examination, we follow Fang and Peress (2009) and focus on the four major U.S. newspapers with weekday circulation: New York Times (NYT), USA Today (USAT), Wall Street Journal (WSJ), and Washington Post (WP). In order to restrict ourselves to articles which truly address a specific company, we use the relevance score measure of LexisNexis. In our baseline tests, we retain all articles with a relevance score from 80% to 99%. To gather all company-related articles, we search the LexisNexis database using company names from Compustat as keywords in the company search function. 3 We additionally collect articles from the maximum set of local newspapers available via LexisNexis. A complete list of the resulting 41 local and four national newspapers as well as summary statistics are given in table 1. 3 These are current names, which are appropriate in most cases since LexisNexis takes into account name changes. However, in few instances, articles before a name change were obviously missing. To obtain these articles, we also use historical names from CRSP(manually corrected for abbreviations) in the search engine and afterwards delete any duplicates. For all firms with more than 200 articles over the entire period, we conduct additional plausibility checks to ensure that the articles really address the specific company and make corrections where necessary. 9
10 Insert table 1 here In total, we are able to assign approximately 2.2 million newspaper articles to more than 7,800 different firms in our data set. 561,800 of these articles, which cover more than 6,500 different firms, are released in one of the four major national newspapers. The appendix shows summary statistics of national, local, and total media coverage. In general, media coverage is highly skewed. For instance, among firms that are covered by the national media in a given year, the mean number of articles is around 16, but the median is only 3 and the 25th percentile is 1. We therefore define media coverage as ln(1+number of articles) in a given month. Table 1 also displays the average tone in press articles by newspaper as quantified by textual analysis. We thereby follow the dictionary approach developed in Loughran and McDonald (2011) which evaluates the qualitative content of an article based on the fraction of negative words. The approach accounts for the finance jargon and is therefore particularly useful for our purposes (see also e.g. Garcia (2013)). The Wall Street Journal contains the largest fraction of negative words (2.19%), which appears in line with conventional wisdom as well as the findings of the few studies which have textually analyzed firm-specific newspaper articles so far (e.g. Gurun and Butler (2011), Tetlock, Saar-Tsechansky, and Macskassy (2008)). In figure 2, we plot the time-series evolution of the percentage of firms with press coverage in consecutive six month intervals, which match the length of the momentum formation period. As can be seen, coverage by all newspapers is relatively stable and fluctuates between about 45% and 65%. The sharp increase during the early 90s for local newspapers is largely a consequence of the limited availability in LexisNexis at the beginning of the sample period. Insert figure 2 here 10
11 Next, we examine determinants of media coverage on the basis of cross-sectional Fama/MacBeth regressions in table 2. The construction of the explanatory firm variables follows the standard in the literature and is explained in the appendix. A natural candidate is a firm s (log) market capitalization. Specification I shows that size is indeed a very important predictor, generating alone an adjusted R 2 of 24%. However, from specifications II-IV, which are also univariate, it turns out that S&P 500 membership, NASDAQ membership and (log) analyst coverage have substantial explanatory power as well. While the negative coefficient for the NASDAQ dummy is in line with the results of Fang and Peress (2009) and hence expected, the strong influence of the S&P 500 dummy with an R 2 of 18% is noteworthy. Specification V shows that, when additionally controlling for market capitalization, the influence of the S&P 500 dummy remains highly statistically significant. This suggests that S&P 500 membership might capture important non-linearities between the amount of coverage and firm size, or alternatively that being a member of this popular index on its own increases the probability of receiving media attention. Insert table 2 here In specifications VI and VII, the NASDAQ dummy and analyst coverage are sequentially added to the model, i.e. specification VII looks as follows: ln(1+no. articles) = α+β 1 ln(size)+β 2 S&P 500+β 3 NASDAQ+β 4 ln(1+analyst)+ε media. (1) Again in line with Fang and Peress (2009), analyst coverage has a negative impact on media coverage in this specification. This suggests that after controlling for firm size and index effects, analyst coverage and media coverage might be substitutes rather than complements. However, the model s adjusted R 2 of 26% implies a rather modest improvement in the overall explanatory power in comparison to the other specifications. Apparently, we approach the limits to explain 11
12 media coverage. Indeed, the two final specifications VIII and IX in table 2 reveal that, when collectively adding further firm characteristics and also industry dummies, the additional gains in terms of explanatory power appear small with an overall adjusted R 2 of 30% in the rightmost column. The regression results suggest that we need to control for firm characteristics, most notably size, in order to isolate the true impact of media coverage on momentum profits. To do so, we closely follow the approach of Hong, Lim, and Stein (2000) who focus on residual analyst coverage, and who use firm size and NASDAQ membership as explanatory variables. We add an S&P 500 dummy due to its strong explanatory power for unconditional media coverage. In other words, we rely on the residuals of equation 1 as our baseline measure of excess media coverage. In our view, this specification has the advantage of being still simple and easy to follow while at the same time controlling for the key result in Hong, Lim, and Stein (2000) and removing the most serious dependencies between media coverage and further variables. In later checks, we verify the robustness of our findings using either simpler or more comprehensive models. For now, we first take a closer look at the resulting distribution of various firm characteristics in table 3 when sorting stocks into quintiles on the basis of raw media coverage (panel A) and residual media coverage (panel B). Insert table 3 here As can be seen, using raw media coverage leads to large differences in firm characteristics across the five media portfolios. For instance, firms in the high coverage portfolio are more than ten times larger than firms in the low coverage portfolio and they are about six times more likely to be a member of the S&P 500 index. 12
13 Panel B shows that differences in firm characteristics between the extreme portfolios 1 and 5 substantially decrease with our residual media variables. This is not only the case for the variables included in the regression, but also for the book-to-market ratio, stock price, the Amihud (2002) illiquidity ratio, and firm age. Nevertheless, panel B also shows some evidence of non-linearities between residual media coverage and firm characteristics. For instance, firms in the intermediate quintiles tend to be smaller on average than firms belonging to portfolio 1 or 5. However, our empirical tests focus on the extreme media quintiles for which differences in firm-level variables are relatively small. Moreover, we later run additional tests such as computing benchmark-adjusted returns as in Daniel et al. (1997) in order to further control for any remaining disparities. 3. Empirical results 3.1 Baseline analysis: The effect of media on momentum returns Following the standard in the literature, we construct momentum portfolios using a formation and a holding period of six months each, and skipping one month in between. To interact media exposure with momentum profits, we first create five equal-sized stock portfolios based on residual national media coverage within the momentum formation period. Within each of these quintiles, the winner (loser) portfolio then consists of all stocks with a return above the 70th percentile (below the 30th percentile) during their formation period. These return cut-offs are used throughout all tests in the paper. To quantify residual media coverage in this setting, we run the regression specified in equation 1 separately for each of the six months of the formation period, and then use the average residual 13
14 obtained in these six cross-sectional regressions. In this step, firm months without coverage are also considered. However, when creating the five equally sized residual media coverage portfolios, only firms with at least one article over the formation period are taken into account. This restriction is motivated by our additional analysis of the qualitative content of articles in later sections. Conditioning on covered firms allows us to rely on the same samples in both tests. The baseline effect of media coverage on momentum profits is displayed in table 4. Returns are given in % per month (as in the remainder of the paper) and are based on overlapping equally weighted portfolios as in Jegadeesh and Titman (1993). T-statistics are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. Insert table 4 here As shown in panel A, there is a clear relation between media portfolios and momentum profits. While the winner minus loser spread amounts to 33 bp per month (t-stat 1.42) for the lowest coverage portfolio and is only slightly larger in portfolio 3 (43 bp, t-stat 1.78), it is more than three times as large for the highest coverage portfolio (102 bp, t-stat 3.61). The difference of 68 bp per month (or more than 8% per year) is not only economically meaningful, but also statistically highly significant with a t-value of In the following, we refer to this finding as the media-based momentum effect. The appendix displays its full return distribution as well as its time-series. It also shows that media-based momentum, which is the difference between two momentum strategies, does not suffer from the type of momentum crashes recently uncovered by Daniel and Moskowitz (2013). In fact, it is slightly positively skewed. Differences in the level of press coverage are large. As table 4 uncovers, the mean number of articles in residual media coverage portfolios 1 to 5 are 2.50, 2.60, 2.71, 4.98, and A very similar pattern is found for the median. In fact, the distribution of articles across portfolios 14
15 is very similar to the one obtained using raw media coverage even though firm characteristics across portfolios are now comparable. 4 If residual media coverage mattered for momentum returns, one would consequently expect particular strong differences between portfolio 3 and 4 as well as 4 and 5. This is indeed what we find. Despite this disproportionate increase in momentum profits along the media quintiles, the recently proposed monotonicity test of Patton and Timmermann (2010) verifies that momentum profits are strictly increasing with excess media coverage. Notably, and in contrast to Hong, Lim, and Stein (2000), rising momentum profits are not primarily driven by the short leg of the portfolio. In fact, and in line with the reasoning in e.g. D Avolio (2002) on short-selling constraints and Barber and Odean (2008) on attention effects in investor behavior, the winner portfolio makes a stronger contribution than the loser portfolio (48 vs. -20 bp, t-stat 2.86 vs ). Moreover, media coverage has only predictive power for firms contained in the long or short leg of a momentum strategy. For firms between formation period return percentile 30 and 70, the impact of the media is negligible. As a further note, a first look at panel A suggests that, in contrast to the evidence reported in Fang and Peress (2009), low media coverage stocks do not earn higher returns than high media coverage stocks. Specifically, the average return (added across all momentum portfolios) is ( )/3 = 0.94% for the low-media portfolio and ( )/3 = 1.05% for the high-media portfolio. However, we have verified that we can closely replicate the findings of Fang and Peress (2009) using their sample and methodology. 5 4 Moreover, as table 3 indicates, firms in portfolios 1 and 5 in general tend to be relatively large, liquid, and covered by many analysts. Untabulated findings show that there are no marked differences in these firm characteristics between the winner and the loser portfolio. 5 We find the difference in returns to be mainly driven by differences in the sample coverage (whole CRSP/Compustat common stock universe vs. NYSE stocks and 500 randomly selected NASDAQ stocks), the 15
16 Table 4 also examines the size of the media-based momentum effect on the basis of factor regressions. More specifically, the alphas reported in panel B result from a CAPM one factor model, a Fama and French (1993) three factor model, a Carhart (1997) four factor model as well as a six factor model augmented with the short-term and long-term reversal factor. The alphas range from 61 to 69 bp and are thus virtually unchanged from the baseline effect. Finally, while the regressions are helpful to determine whether the strategy loads on certain factors, they might be less suited to control for potential non-linear relations between firm variables and residual media coverage. From table 3, we know that such non-linearities exist. To address these concerns, we start by following the Daniel et al. (1997) procedure and benchmarkadjust stock returns before (re-)calculating the media-based momentum effect. Doing so, we use the traditional characteristic-based benchmarks of Daniel et al. (1997) which sort stocks according to size quintiles, book-to-market quintiles, and prior return quintiles (denoted DGTW ). In addition, we employ alternative two-dimensional benchmarks that sort firms according to size deciles and book-to-market deciles, size deciles and turnover deciles, and size deciles and industry membership. The use of these alternative benchmarks is motivated by the fact that the role of the later variables is commonly examined in the momentum literature (e.g. Hong, Lim, and Stein (2000), Lee and Swaminathan (2000), Moskowitz and Grinblatt (1999)). Panel C shows that the baseline effect is somewhat lower and ranges between 42 bp (traditional DGTW-benchmarks) and 64 bp (size/industry-adjustment). For all benchmark models, however, the spread is still highly statistically significant at the 1% level. These findings give us further assurance that media-based momentum is not explained by other factors. price filter, and the size filter. Please note that our approach in table 4 also differs in other respects from Fang and Peress (2009): our sample period is about twice as long, we measure coverage over the whole momentum formation period, we exclude stocks without media coverage, and we rely on a residual measure. 16
17 3.2 Baseline analysis: Robustness tests We now turn to further and more extensive robustness tests which change our empirical design in several dimensions. The main results are presented in table 5. Insert table 5 here For the sake of completeness, specification (1) uses raw (instead of residual) media coverage. With a six factor alpha of 24 bp (t-stat 1.34), media-based momentum is not significant. This is not surprising for two reasons. First, and as table 3 shows in detail, sorting stocks on raw coverage is essentially a hidden sort on firm size. The mean NYSE size decile in the low (high) coverage portfolio is 4.68 (8.60). The difference in median values is even larger. At the same time, standard momentum is significantly stronger among smaller firms than among the largest firms (see the appendix and also e.g. Hong, Lim, and Stein (2000) or Fama and French (2008)). This is probably in part due to the fact that firm size is also highly correlated with frictions and impediments to arbitrage such as liquidity, spreads, and short-selling constraints (e.g. Nagel (2005)). Consequently, this pronounced size effect runs counter raw media-based momentum, which is the difference between momentum among highly covered (and thus typically very large) and lowly covered (and thus typically small) firms. Second, attention is not necessarily monotonically related to the raw number of media articles and therefore also not necessarily monotonic in firm size. It appears reasonable to assume that investors would all else equal pay less attention towards the marginal newspaper article about a large firm for which such stories are commonplace than towards the marginal article about a smaller firm which is typically rather neglected. Thus, a residual that captures the excess amount of media coverage relative to other firms with similar characteristics might be a better proxy for the amount of(intangible) information that is being consciously processed by investors. 17
18 The bottom line is that, while it is certainly interesting to explore how momentum varies with raw coverage, this probably does not constitute a clean test of the isolated impact of media coverage on momentum. To address these concerns in an intuitive way, we consider size-adjusted media coverage, which is simply the residual from regressing raw coverage either on firm size alone (2) or on a S&P 500 dummy alone (3). With six factor alphas of 48 bp (t-stat 2.51) and 66 bp (t-stat 4.14), media-based momentum is large and significant. Another parsimonious model (4) that includes both firm size and S&P 500 membership to account for non-linearities in the typical amount of coverage leads to similar insights. Next, we consider more comprehensive models of residual media coverage by including additional factors in the OLS baseline regression of equation 1. The selection of these variables is guided by remaining differences in firm characteristics as mostly indicated by table 3. More precisely, we include dummies for size deciles (5), dummies for the 48 Fama/French industries (6), or turnover (7). Findings are similar to the ones obtained for our baseline model. In specification(8), we add local newspaper articles. As local outlets tend to cover local stocks, certain geographic regions might receive systematically high or low residual media coverage values. To mitigate this issue, we include state dummies in the regression. Findings show that the inclusion of local media articles has no substantial impact on the results. Differences are also rather minor if we reverse the dependent sorting procedure for media coverage and formation returns (9). In specification (10), we compute residual media coverage using only one regression based on the total number of articles over the whole period from t-6 to t-1 as opposed to running six regressions and computing the average residual. Findings are nearly identical to the baseline analysis. As an alternative econometric way to control for time-invariant heterogeneity in coverage at the firm level, we also run a panel regression with firm-fixed and month-fixed effects in (11). With a six factor alpha of 41 bp, findings are weaker 18
19 but remain economically and statistically significant (t-stat 2.43). Finally, specifications (12) and (13) show results for the two subperiods from January 1989 to December 1999 as well as January 2000 to January Results appear persistent, though weaker in the more recent period (see also Tetlock (2011)). However, momentum itself was by far less successful in the 2000s with an average monthly spread between the winner and loser portfolio of just 23 bp (t-stat 0.48). Hence, the difference in momentum returns of about 40 bp that we obtain by conditioning on media coverage is economically still quite substantial. The appendix shows further sensitivity checks which verify that our baseline results are remarkably robust with respect to changes in the estimation of residual media coverage, changes in the sorting procedure, and changes in the eligible newspaper or stock data set. However, we have not yet addressed the recent critique brought forward by Bandarchuk and Hilscher (2013). The authors revisit the literature on enhanced momentum, which typically sorts stocks first by stock-level characteristics deemed to be proxy for behavioral or rational momentum drivers and then by past returns to consequently document higher momentum profits. Their analysis reveals that, in most cases, it is not the characteristic per se that matters, but its interaction pattern with extreme past returns. Adequately controlling for this relationship with a suitable regression approach causes the enhanced momentum profits seemingly stemming from e.g. turnover, analyst coverage or the book-to-market ratio to vanish almost entirely. To address these findings, we imitate their Fama/MacBeth regression-based framework (see also Fama and French (2008)). Momentum profits are defined as a stock s forward return above (below) the median, multiplied by a winner/loser dummy, which takes on a value of 1 (-1) if the stock was a winner (loser) in the formation period. The dependent variable is either the momentum profit in t + 1, as in Bandarchuk and Hilscher (2013), or the average momentum 19
20 return over a six month period, which better corresponds to our baseline approach. To infer to which extent extreme returns over the formation period cause high momentum profits, we calculate two formation period control variables, denoted as momentum strength and idiosyncratic volatility rank. Computational details are outlined in the description of table 6. The independent variable of interest is residual media coverage, computed as in our baseline approach. In some specifications, we additionally include variables which previously have been linked to cross-sectional differences in momentum profits and which at the same time are not already taken into account by the baseline model on estimating residual coverage. More precisely, controls comprise the book-to-market ratio, turnover, firm age, the Amihud illiquidity ratio, nominal share price, and Fama/French 48 industry dummies. Insert table 6 here We can univariately confirm the influence of residual media coverage on momentum returns (see specification I). We also re-confirm the finding that momentum strength and idiosyncratic volatility rank have a positive impact on momentum (specification II). Importantly, when using all three variables as predictors in specification III, we find that the coefficient of residual media coverage decreases only modestly and its level of statistical significance is not affected. Finally, in specifications IV and V, the impact of residual media coverage also survives the inclusion of additional firm characteristics and industry controls. For the sake of brevity, coefficients for the firm characteristics are not tabulated. However, most coefficients are insignificant, which reconfirms the insights of Bandarchuk and Hilscher (2013). 20
21 4. Overconfidence-driven overreaction as explanation for mediabased momentum? In the following, we describe the main insights from additional tests designed to investigate possible drivers of media-based momentum in greater depth. One way to interpret the results is to argue that they fit neatly into the Daniel, Hirshleifer, and Subrahmanyam (1998) framework. Nevertheless, as we outline in the respective sections, at least some of the findings appear to be consistent with other models as well. In this sense, our evidence in support of a specific theory should be considered to be more circumstantial than definitive. The analysis proceeds in four steps. First, we test whether medium-run media-based momentum is followed by a long-run reversal, which would be suggestive of investor overreaction. As the data lends credibility to this line of reasoning, we next explore whether we can enhance mediabased momentum by conditioning on variables deemed to strengthen investor overconfidence in the spirit of Daniel, Hirshleifer, and Subrahmanyam (1998). More precisely, we consider articlelevel tone in a second step, firm-level uncertainty in a third step, and state-level individualism in a fourth step. 4.1 Long-run reversal Tests based on long-run reversal help distinguish between overreaction-based versus underreaction-based explanations of momentum. We thus follow previous literature in analyzing profits for up to 36 months after portfolio formation. The following table 7 displays the main results. In this section, we focus only on the first four columns in this table which depict the long-run performance of the baseline media-based momentum strategy. For the sake of brevity, the right-hand columns 5 to 8 show already the long-run results of media-based momentum 21
22 strategies that additionally condition on article tone. These results will be discussed in the next section when we introduce details of the tone analysis. Insert table 7 here Focusing on the baseline analysis, a clear pattern emerges, which is also evident from figure 1 discussed in the introduction. Judging from a period of up to twelve months after formation as displayed in panel A, the high residual coverage momentum portfolio (still) outperforms the low coverage portfolio at the 5% significance level and by roughly 40 bp per month. After roughly ten months, however, the effect slowly starts to reverse. As panel B shows, in years 2 and 3 after portfolio formation, the high coverage momentum portfolio underperforms its low coverage counterpart by an average of 22 bp per month. Panel C shows that the underperformance of the high residual coverage momentum portfolio in t+13 to t+36 completely offsets the higher initial momentum gains in the first twelve months. As can be seen, the difference between high and low coverage firms is virtually zero over the entire three year period. The finding holds for both raw and risk-adjusted momentum returns. The strong reversal indicates that investor overreaction appears to be the driving force behind media-based momentum, suggesting that our findings so far can best be reconciled with models such as DeLong et al. (1990) or Daniel, Hirshleifer, and Subrahmanyam (1998). Also Tetlock s (2011) stale-information theory may be particularly applicable for our results. To the extent that investors cause overreaction by trading on redundant information, high media coverage could proxy for the amount of stale news and overreaction potential in his model, even though the reversals do not occur within days as in his high-frequency analysis. 22
23 In contrast, given that return reversals completely offset media-based momentum in the longrun, our findings appear more difficult to reconcile with theories which attribute momentum at least partly to underreaction (e.g. Barberis, Shleifer, and Vishny (1998), Hong and Stein (1999)). Media coverage may also proxy for investor favoritism which relates it to the momentum life cycle hypothesis of Lee and Swaminathan (2000). For instance, reporters may be more attentive towards firms favored by the market because they wish to satisfy investors demand for stories about these firms. This implies that high media coverage winners and losers are both in-favor stocks, and conversely that low media coverage winners and losers are both out-of-favor. To the extent that this line of reasoning is true, the price continuations and reversals which we observe in relation to media coverage can only partly be explained by the model of Lee and Swaminathan (2000). For instance, according to the momentum life cycle, high media coverage winners, but not high coverage losers, ought to have particularly strong reversals. In contrast, we observe stronger reversals for both high coverage winners and high coverage losers. 4.2 Tone-enhanced media-based momentum If overconfidence-driven overreaction as in Daniel, Hirshleifer, and Subrahmanyam (1998) was the driver behind media-based momentum, then we would expect that not only the intensity of media coverage mattered but also its content. Specifically, the effect should be particularly pronounced for those stocks for which the article tone matches the formation period return. For instance, an overconfident investor might consider its initial, media-based signal regarding a winner stock as being particularly (less) favorable if the tone of the article appears particularly positive (negative). As a consequence, conditioning on the content of press articles might enable us to predict future return patterns, both in the medium-run and in the long-run, even better. 23
24 Empirically, we start by adding a third sorting dimension to our baseline analysis. More precisely, after double-sorting stocks on residual media coverage and formation period return, we additionally perform a median split on article tone based on the approach developed in Loughran and McDonald(2011). To assure consistency with the way we measure media coverage, article tone is also orthogonalized with respect to the firm characteristics shown in equation 1. Residual tone is estimated in a single regression based on the average tone of articles over the whole formation period. The appendix confirms that we obtain similar results when relying on raw tone instead. Panel A of table 8 shows descriptive statistics for article tone. As one might expect, winner stocks in general have fewer negative words in their press articles than loser stocks. However, the median split on tone also yields substantial variation within each (residual media coverage, momentum)-portfolio. We then replicate the baseline analysis of section 3.1 separately for the subsample of stocks for which we expect high media-based momentum (positive tone winners, negative tone losers) and for the subsample for which we expect low media-based momentum as the tone does not match (negative tone winners, positive tone losers). Table 8 depicts the main findings. Insert table 8 here We indeed find that media-based momentum constructed from winners with positive tone and losers with negative tone is stronger (raw return: 86 bp, 6 factor alpha: 82 bp) than in our baseline analysis in section 3.1 (raw return: 68 bp, 6 factor alpha: 66 bp). As a consequence, the effect is considerably weaker (raw return: 51 bp, 6 factor alpha: 50 bp) in the subsample of stocks for which the tone does not match the formation period return. The appendix confirms these insights using multivariate Fama/MacBeth regressions as in table 6. 24
25 Depending on the specification, the annualized average return difference between toneenhance and tone-weakened media-based momentum is about 3.8% to 6%, and thus economically substantial. At the same time, there is a lot of variation in the time-series, which leads to statistical significance being achieved in two out of five models only. Arguably, while the Loughran and McDonald (2011) procedure to measure article tone can be considered as state of the art, any attempt to quantify article content is likely to be crude and sometimes incomplete, a point that is expressed by others as well (e.g. Dougal et al. (2012)). Nonetheless, consistent with a higher initial media-based momentum effect, the results reported in the right-most columns of table 7 also point towards a stronger reversal effect in years 2 and 3 after portfolio formation for the tone-enhanced media-based momentum strategy. For the period t+13 to t+36 (panel B), the reversal amounts to 35 bp per month (t-stat 2.46) as opposed to only 22 bp for the baseline strategy. In fact, the cumulative difference in returns over the entire three year period after portfolio formation is-8 bp per month(panel C), which suggests that the initially higher momentum gains are more than offset by the subsequent reversal. Overall, these return patterns appear closely in line with the implications of Daniel, Hirshleifer, and Subrahmanyam (1998). With regard to other momentum theories, the role of article tone is not unambiguously clear. For instance, it is challenging to assess whether positive (negative) articles about winning (losing) stocks are more or less likely to contain truly stale news, which would be particularly relevant for the setting in Tetlock (2011). 6 Interpreting the idea of a momentum life cycle(as in Lee and Swaminathan(2000)) very freely, 6 If one is willing to assume that newspaper articles are generally stale, then one might expect a stronger overreaction and a subsequent reversal upon stale information that is presented as either highly positive or highly negative. Relative to a more neutral writing, these articles might potentially trigger more trading by irrational investors. 25
26 one could also speculate that highly covered winner (loser) stocks with particularly positive (negative) tone might be hyped (excessively written off) by the media. In this way, they might classify as late momentum stocks for which the life-cycle theory predicts a high likelihood of long-term reversal. While in line with our findings, this interpretation arguably differs from the way these late momentum stocks are empirically defined in Lee and Swaminathan (2000). 7 Finally, the fact that the extent of the reversal is positively related to the extent to which the article tone matches the formation period return makes our findings seemingly less consistent with the idea of slow information diffusion (e.g. Hong and Stein (1999)) as the primary driver of media-based momentum. 4.3 Uncertainty Both theoretical and empirical work argues that investor overconfidence is likely to be positively related to the degree of uncertainty about a given stock (e.g. Daniel, Hirshleifer, and Subrahmanyam (1998), Daniel, Hirshleifer, and Subrahmanyam (2001), Zhang (2006)). For instance, Jiang and Lee (2005) argue that solid feedback for young firms with high return volatility, high turnover and high cash flow duration is hard to obtain. Thus, learning is constrained and investors might regard their private signals as (all else equal) more plausible. As a consequence, overconfident investors are likely to trade particularly aggressively in firms whose businesses are ceteris paribus more difficult to value. This line of reasoning suggests that overreaction-driven momentum and reversal effects should be particularly pronounced in hard to value stocks which 7 More precisely, high trading volume winners and low trading volume losers are regarded as late momentum stocks in Lee and Swaminathan (2000). These stocks are considered to be particularly favored (in the case of winners) or neglected (in the case of losers) by investors. In contrast, stocks with high residual media coverage in general tend to have rather high turnover in our setting (see table 3). 26
27 at the same time are often featured in the media. 8 This hypothesis is not solely predicted by Daniel, Hirshleifer, and Subrahmanyam (1998). As uncertainty is likely to interact with a number of behavioral biases, stronger mispricings among hard to value stocks are in line with the implications of many mistaken-beliefs frameworks (see e.g. Baker and Wurgler (2007) or Hirshleifer (2001) for discussions). Moreover, these stocks are often argued to be a natural habitat of less sophisticated investors(e.g. Barber and Odean(2008), Kumar (2009)). As a consequence, also the model of e.g. Tetlock (2011) could be consistent with stronger overreaction among stocks with high uncertainty. 9 Empirically, we broadly follow Jiang and Lee (2005) in constructing an aggregate uncertainty proxy based on firm age, return volatility, turnover, and cash flow duration (see table 9 for computational details). Insert table 9 here We start by presenting portfolio-level findings from dependent triple sorts. As in our baseline approach (see table 4), firms are sorted by residual media coverage and formation period returns. We then additionally distinguish between firms with above and below median uncertainty. Panel 8 On the other hand, if the slow diffusion of valuable information was the primary mechanism behind our findings, then one might expect less momentum in hard to value stocks with high press coverage than in hard to value stocks with low press coverage. 9 A positive influence of idiosyncratic volatility (one of our uncertainty proxies) on momentum profits and subsequent reversals is also predicted by recent work of Vayanos and Woolley (2013) who propose that momentum is partly attributable to agency issues in institutional asset management. In this sense, stronger effects for stocks with high uncertainty might also be consistent with their model. However, the appendix shows that media-based momentum does not seem to be strongly related to the fraction of institutional ownership suggesting that such factors are not a major driver of our findings. 27
28 A of table 9 verifies that media-based momentum is indeed much higher in hard to value stocks (raw long-short return: 92 bp per month, six factor alpha: 96 bp) than in stocks which are easier to value (44 bp and 35 bp, respectively). The large economic difference in six factor alphas is also statistically significant. As an alternative approach, we perform monthly firm-level Fama/MacBeth regressions similar to Bandarchuk and Hilscher (2013) and table 6. We create separate dummies for high and low uncertainty firms similarly as in Jiang and Lee (2005), and interact them with residual media coverage. Panel B shows that our findings confirm Jiang and Lee (2005) and Zhang (2006) in that the traditional momentum effect is stronger in hard to value firms. However, and similar as in panel A, the results also reveal an additional exacerbating role of media coverage: the more firms with high uncertainty are featured in the media, the stronger their momentum effect is. This finding is both statistically significant and economically meaningful. A one standard deviation change in residual media coverage among hard to value stocks is estimated to increase monthly momentum returns by 25 bp, even if we control for momentum strength and industry effects. As the appendix verifies, this effect is again only a temporary phenomenon. In fact, the longterm reversal in uncertainty enhanced media-based momentum more than offsets the initial gains, which clearly points to investor overreaction. In panel C, we explore time-series implications of our cross-sectional findings. In times where the valuation of the typical firm becomes harder than usual, investors might on average exhibit more pronounced biases, so that media-based momentum might become stronger. Broadly following Kumar (2009) and for each month separately, we compute average stock-level idiosyncratic volatility based on daily data. We then use a median split to distinguish between times 28
29 of high and low overall valuation uncertainty. Panel C shows that media-based momentum is indeed about 60 bp stronger in high uncertainty months, even though it also remains statistically significant and economically meaningful in low uncertainty environments. 4.4 Cross-sectional variation in individualism Chui, Titman, and Wei (2010) propose an elegant way to distinguish between competing explanations for the momentum effect. The authors rely on the individualism index of 50 countries developed by Hofstede (2001) to explain differences in momentum profits around the world. Building on Daniel, Hirshleifer, and Subrahmanyam (1998) as well as on psychological research, Chui, Titman, and Wei (2010) first establish a link between the degree of individualism on the one hand and overconfidence and self-attribution bias on the other hand. For instance, people in individualistic cultures (e.g. the U.S. or the UK) tend to believe much more that their abilities are above average than do people in collectivistic cultures (such as Japan). This behavior, however, is a central characteristic of overconfidence. Given these insights, Chui, Titman, and Wei (2010) hypothesize and verify that individualism is strongly positively related to the profitability of country-specific momentum strategies around the world. The authors end by highlighting the need for future research on the link between cultural differences and patterns in stock returns. We aim to progress on this front by transferring the idea from the cross-country to the within-country perspective. In this context, Vandello and Cohen (1999) propose a state-level individualism/collectivism index based on eight indicators related to personal,social,economic,religiousandpoliticalviewsandpractices. 10 Itisgenerallyunderstood 10 Specifically, the index comprises the following items (partly reversed): percentage of people living alone, percentage of elderly people living alone, percentage of households with grandchildren, divorce to marriage ratio, percentage of people without religious affiliation, ratio of people carpooling to work to driving alone, percentage 29
30 that absolute differences in cultural norms only within the U.S. might be less pronounced than in the international context. On the other hand, as Vandello and Cohen (1999) stress, many of the problems of extraneous variation that make isolating cross-cultural differences challenging (p. 290) can be mitigated, so that the information contained in the index should provide valuable insights and allow for useful individualism rankings. Indeed, the index, which contains collectivism scores for 50 U.S. states, is widely used in the psychological literature. However, to our knowledge, we are the first to exploit the index in order to explain (geographic) differences in return anomalies. The appendix displays state rankings of the U.S. collectivism index. It shows the intuitively appealing result that Southern states (particularly the Deep South) have greater collectivistic tendencies, whereas the Mountain West and the Great Plains tend to be rather individualistic. We follow the consensus in the literature and employ a firm s headquarter as a proxy for its location. In a different line of research, many recent finance papers have demonstrated that investors, both retail and professional, exhibit a strong preference for local stocks (e.g. Coval and Moskowitz (1999), Coval and Moskowitz (2001), Grinblatt and Keloharju (2001), Huberman (2001), Seasholes and Zhu (2010)). For our analysis, two aspects of this so-called local bias are especially important. First, recent findings highlight the role of (local) media in this context (e.g. Gurun and Butler (2011), Engelberg and Parsons (2011)). Second, trading action of local investors has been shown to affect economic aggregates such as the turnover of local stocks (e.g. Jacobs and Weber (2012), Loughran and Schultz (2005)), their valuations (e.g. Hong, Kubik, and Stein (2008)), and their returns (e.g. Kumar, Page, and Spalt (2011), Shive (2012)). Combining insights from the literature on individualism and local bias suggests the following: provided that local cultural norms indeed affect investment decisions, their impact on return of Libertarian votes over the last four presidential elections, percentage of self-employed people. 30
31 patterns should be most easily identified in the behavior of local firms stocks. Consequently, a testable hypothesis for our setting is: we expect the media-based momentum effect to be particularly strong (weak) in more individualistic (collectivistic) areas. 11 A distinctive feature of our study is that we can base our analysis on more than 1.65 million news stories from a geographically widely dispersed cross-section of 41 local newspapers. It appears crucial to take the role of local newspapers into account in a test based on crosssectional differences in investor behavior along a geographical line. To explore the hypothesis outlined above, we first conduct portfolio-level tests as in our baseline analysis. The main idea here is to compute the media-based momentum effect separately for portfolios of firms located in individualistic and collectivistic areas and to compare the difference. We only consider local newspapers and augment the baseline model to estimate residual media coverage with 50 state dummies. These dummies are deemed to control for potential cross-sectional differences in firm characteristics, industry composition as well as the number and availability of local newspapers. We consider the whole sample stock universe to run the regression, but then form separate portfolios for collectivistic and individualistic areas. Both areas are defined in a way that they each comprise about 30% of sample firms. Panel A of table 10 shows the main findings. Insert table 10 here While there is a considerable noise due to the rather low number of firms in the portfolios at certain times, the media-based momentum effect in collectivistic regions is with 45 bp 11 If overconfidence-based overreaction explained momentum, we would (in analogy to Chui, Titman, and Wei (2010)) also expect that the traditional momentum effect without conditioning on media coverage was stronger in individualistic states. The appendix provides evidence supporting this prediction. 31
32 comparatively low and only marginally significant at the ten percent level. In contrast, in individualistic states, the effect is 72 bp and significant at the one percent level. Depending on the factor model, the difference in the media-based momentum effect between individualistic and collectivistic states consequently amounts to about 25 to 30 bp per month. However, despite this economically meaningful effect, the difference is not statistically significant. In panel B, we thus run multivariate Fama/MacBeth regressions as in table 6 to better isolate the impact of individualism. Again, only individualistic (30%) and collectivistic (30%) firms are included and residual media coverage is estimated in a regression with 50 state dummies. Of primary interest is the interaction term of residual media coverage and an individualism dummy, which is one (zero) for individualistic (collectivistic) regions. Firm-level controls include industry classification, momentum strength, idiosyncratic volatility, turnover, book-to-market ratio, age, illiquidity, and share price. In some specifications, we also add state-level controls by including mean firm characteristics and GDP growth. The setting also allows us to further sharpen the analysis with regard to cross-sectional variation in local bias (see e.g. Hong, Kubik, and Stein (2008), Korniotis and Kumar (2013)). We thus run two additional models, in which we condition on states with above median local bias in the trading decisions of either both institutional and retail investors or retail investors only. State-level estimates of local bias are taken from Korniotis and Kumar (2013). Moreover, we run a tone-enhanced analysis similar to table 8. The major difference is that we now rely on local (as opposed to national) media and also orthogonalize the tone with respect to 50 state dummies to account for potential cross-sectional differences in the average tone (see table 1). Panel B shows a pervasive picture: the interaction term between residual media coverage and the individualism dummy is always positive and often statistically significant, suggesting a stronger impact of the media on return predictability in individualistic states. Moreover, 32
33 sharpening the analysis with respect to cross-sectional differences in local bias or article tone leads to stronger estimates. Finally, findings are also meaningful from an economic perspective. For instance, coefficients suggest that the impact of a one standard deviation change of toneenhanced residual media coverage on media-based momentum is all else equal about 10 to 15 bp per month stronger in individualistic than in collectivistic regions. Chui, Titman, and Wei (2010) interpret their cross-country evidence as support for Daniel, Hirshleifer, and Subrahmanyam (1998), and it appears natural to do the same for our withincountry results. Further support for the idea that the Vandello and Cohen (1999) index proxies for biases important in the Daniel, Hirshleifer, and Subrahmanyam (1998) framework comes from recent corporate finance studies which find the index to be correlated with measures of managerial overconfidence (Chen et al. (2012), Truong et al. (2013)). 5. Conclusion While the momentum effect is among the most prominent return anomalies, its underlying drivers are far from being well understood. We provide some novel evidence to the ongoing debate by exploiting a unique data set comprising about 2.2 million firm-specific articles from 45 newspapers. Our findings reveal a systematic link between the extent of a firm s excess media coverage and the magnitude of the momentum and long-term reversal effect in its stock. Consistent with the idea that investor overconfidence should strengthen the effect, we document higher media-based momentum profits among hard-to-value firms, among firms for which the article tone matches the formation period return, and among firms located in more individualistic U.S. states. At least with respect to our relatively large sample firms, these insights lend support to 33
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41 Figure 1: Buy-and-hold long-term momentum profits for firms with high and low residual media coverage This figure shows the cumulative buy-and-hold returns for a winner minus loser long-short strategy separately for three different stock categories. In each month, residual stock-level media coverage is obtained from a month-to-month rolling OLS regression with ln (1+number of media articles) as dependent variable and size, analyst coverage, and dummies for S&P 500 and NASDAQ membership as explanatory variables. For the portfolio construction, stocks are first divided into residual media coverage quintiles (averaged over the formation period) and then further separated into a loser portfolio (30% of stocks with the lowest return over the previous six-month formation period), a neutral portfolio, and a winner portfolio (30% of stocks with the highest return over the formation period). The first category (dark solid line) compiles stocks for the long and short portfolio of stocks in the lowest residual media coverage quintile. The second category (bright solid line) consists of stocks falling in the highest residual media coverage quintile. The third category (bright dashed line) is a subset of the stocks in the second category and additionally conditions on the tone of the press articles based on a median split in each portfolio. Tone is measured as the fraction of negative words based on the word list proposed in Loughran and McDonald (2011). To be consistent with our approach of measuring media coverage, the tone of the articles is also orthogonalized with respect to size, analyst coverage, S&P 500 membership, and NASDAQ membership in each month. 41
42 Figure 2: Percentage of firms with media coverage in six months intervals This figure shows the time-series evolution of the percentage of firms with press coverage separated by national, local, and all newspapers in a given half-year (January-June or July-December). The total media data set consists of 45 different newspapers with weekday circulation, of which the four major U.S. newspapers New York Times, USA Today, Wall Street Journal, and Washington Post make up the national newspaper data set. For details about local newspapers, see table 1. 42
43 Table 1: Summary statistics for the newspaper data set This table reports data on availability, total number of articles, average number of articles per year, the average percentage of firms covered in a given year, average weekday circulation, and the average fraction of negative words per article for each of the local newspapers and national newspapers (in bold). Articles are obtained from LexisNexis using the company search function and a relevance score of at least 80%. Availability is the maximum of the start of our sample period (1989) and the first year of complete journal coverage. To calculate the average percentage of covered firms in a given year, we first calculate the percentage of coverage separately for each year in which the newspaper is available. This number is based on all firms that appear in our sample at any point in time during that specific year. We then take the yearly average. Average weekday circulation is based on circulation data for the years 2004, 2006, and 2009 which was compiled by BurrellesLuce using the Audit Bureau of Circulations as data source (see For Augusta Chronicle and Santa Fe New Mexican we obtain circulation data directly from the Audit Bureau of Circulations. The mean fraction of negative words in the newspaper articles is based on the word list proposed in Loughran and McDonald (2011). Newspaper Availability Total no. Mean no. % of firms Average Mean fraction articles articles per covered in weekday of negative year given year circulation words New York Times ,812 8, % 1,100, % Washington Post ,499 4, % 716, % Wall Street Journal ,374 9, % 2,077, % USA Today ,115 2, % 2,192, % Arkansas Democrat Gazette ,595 1, % 182, % Atlanta Journal and Constitution ,196 3, % 345, % Augusta Chronicle ,641 2, % 59, % Austin American Statesman ,547 2, % 173, % Birmingham News ,076 1, % 146, % Boston Herald ,933 1, % 205, % Buffalo News ,915 2, % 188, % Chicago Sun Times ,351 4, % 377, % Daily News New York ,356 1, % 674, % Dallas Morning News ,053 4, % 446, % Dayton Daily News ,580 1, % 125, % Denver Post ,788 1, % 322, % Fresno Bee , % 157, % Houston Chronicle ,188 3, % 495, % Las Vegas Review Journal , % 178, % [continued overleaf] 43
44 Table 1: Summary statistics for the newspaper data set (continued) Newspaper Availability Total no. Mean no. % of firms Average Mean fraction articles articles per covered in weekday of negative year given year circulation words Minneapolis Star Tribune ,393 1, % 353, % New Orleans Times Picayune ,363 1, % 214, % New York Post ,374 2, % 624, % Palm Beach Post ,660 1, % 168, % Pittsburgh Post Gazette ,913 3, % 224, % Richmond Times-Dispatch ,908 1, % 178, % Sacramento Bee ,466 1, % 281, % Salt Lake Tribune ,496 1, % 128, % San Antonio Express News ,096 2, % 225, % San Francisco Chronicle ,618 2, % 403, % San Jose Mercury News ,183 4, % 249, % Santa Fe New Mexican , % 21, % Seattle Post Intelligencer ,189 2, % 139, % St. Louis Post Dispatch ,368 4, % 265, % St. Petersburg Times ,279 2, % 318, % Star Ledger (Newark, NJ) ,888 2, % 360, % Tampa Tribune ,530 1, % 223, % The Oklahoman ,097 1, % 189, % The Oregonian ,670 2, % 310, % The Philadelphia Inquirer ,213 3, % 338, % The Plain Dealer ,085 3, % 334, % The Providence Journal ,923 1, % 146, % The Record (Bergen) ,682 3, % 176, % The Virginian Pilot ,674 1, % 186, % Tulsa World ,577 3, % 134, % Wisconsin State Journal ,649 1, % 96, % Total number of articles 2,215,833 Total number of articles in WSJ, WP, NYT, USAT 561,800 44
45 Table 2: Multivariate regressions to explain media coverage This table presents the results of various month-to-month OLS regressions to explain raw media coverage defined as ln(1+no. articles). Specification VII is our baseline model to obtain residual media coverage. Size is the natural log of market capitalization. S&P 500 and NASDAQ are dummy variables which take the value of 1 when the firm is a member of the S&P 500 index or is listed on the NASDAQ. Analyst coverage is the natural log of (1+no. earnings estimates). Book-Market is the firm s equity book-to-market ratio and turnover is the natural log of average share volume divided by shares outstanding using daily data over the last six months. IVOL (idiosyncratic volatility based on the Fama/French three factor model) and Mom strength are measured following Bandarchuk and Hilscher (2013). Further construction details are in the appendix. The sample period covers M1:1989-M12:2010. Following Fama/MacBeth (1973) coefficients are calculated as time-series averages of monthly estimates, and t-statistics (in parentheses) are based on the time-series average and standard deviation. We adjust t-statistics for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. * indicates significance at the 10% level, ** indicates significance at the 5% level and *** indicates significance at the 1% level. Size S&P 500 NASDAQ Analyst I + S&P 500 V + NASDAQ Baseline Model VII + Further Controls VIII + Industry Dummies I II III IV V VI VII VIII IX Firm Size *** *** *** *** *** *** (57.12) (38.60) (35.02) (36.13) (42.11) (40.29) 45 S&P 500 dummy *** *** *** *** *** *** (62.37) (22.44) (23.05) (23.13) (20.93) (21.61) NASDAQ dummy *** *** *** ** *** (-31.56) (2.90) (3.14) (-2.14) (-3.52) Analyst coverage *** *** *** *** (59.75) (-19.19) (-20.75) (-25.03) Book-Market *** *** (10.21) (10.67) Turnover * *** (-1.76) (-2.65) IVOL *** *** (21.65) (17.94) Mom strength *** *** (9.20) (9.69) No. of observations Fama-French 48 dummies No No No No No No No No Yes Adjusted R-squared
46 Table 3: Firm characteristics for portfolios sorted by raw and residual media coverage This table presents time-series averages of the yearly mean of firm variables for quintile portfolios based on raw media coverage (panel A) and residual media coverage (panel B). Raw media coverage is defined as ln(1+no. articles), residual media coverage is obtained from rolling month-to-month OLS regressions with firm size, S&P 500, NASDAQ, and analyst coverage as explanatory variables. Firm size is the natural log of market capitalization. S&P 500 and NASDAQ are dummy variables which take the value of 1 when the firm is a member of the S&P 500 index or is listed on the NASDAQ. Analyst coverage is the natural log of (1+no. earnings estimates). NYSE Decile refers to the firm s market capitalization decile where breakpoints are based on NYSE stocks. 10 denotes the portfolio with the largest stocks. Book-Market is the firm s equity book-to-market ratio and Turnover is the natural log of average share volume divided by shares outstanding using daily data over the last six months. IVOL (idiosyncratic volatility based on the Fama/French three factor model) and mom strength are measured following Bandarchuk and Hilscher (2013). Price is the share price in CRSP, Amihud is the Amihud (2002) illiquidity ratio, and firm age is based on the first appearance of the stock s permco in CRSP. Further construction details are in the appendix. The sample period covers M1:1989-M12:2010. The final rows in each panel show t-statistics associated with the (5)-(1) portfolio differences. * indicates significance at the 10% level, ** indicates significance at the 5% level and *** indicates significance at the 1% level. 46 Quintile NYSE Decile Size (ln) S&P 500 NASDAQ Analyst (ln) Book-Market Turnover (ln) IVOL Mom Strength Price Amihud (ln) Age (ln) Panel A: Quintile sorts based on raw media coverage *** 2.53*** 0.61*** -0.31*** 0.98*** -0.08*** 0.31* -4.17*** -0.09** 83.30*** -3.09*** 0.77*** t-stat Panel B: Quintile sorts based on residual media coverage *** *** 0.08*** -0.14*** *** 0.09*** *** t-stat
47 Table 4: Residual media coverage and momentum: Baseline results This table presents momentum returns for stock portfolios sorted first by residual media coverage. To construct the momentum portfolios we use a formation and holding period of six months each and skip one month in between. Residual media coverage quintiles are based on the firms average residual media coverage from our baseline regression model during the formation period and consider only firms with at least one article over this period. Within each quintile, the winner (loser) portfolio consists of all stocks with a formation period return above the 70th percentile (below the 30th percentile). Momentum returns (reported in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). Panel A shows raw returns, panel B riskadjusted returns, and panel C characteristic-based benchmark-adjusted returns. Results in panels B and C are only for the media-based momentum effect, i.e. the difference between the momentum return for the high and low residual media coverage portfolios. 1F refers to the CAPM, 3F to the Fama and French (1993) model, 4F to the Carhart (1997) model, and 6F to a model augmented with factors for short-term and long-term reversal. For benchmark-adjustment we use dependent sorts and subtract value-weighted benchmark returns as in Daniel et al. (1997). Industry-adjustment for the model Size+Industry is based on the first digit SIC code and excludes stocks with SIC Codes 0 or 9. DGTW refers to the original adjustment in Daniel et al. (1997). The sample period covers M1:1989-M12:2010. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. * indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. Residual media Loser Mid Winner Mom Mom Mean / Median coverage portfolio return return return return t-stat no. of articles Panel A: Double sorts and raw returns (1.42) 2.50 / * (1.72) 2.60 / * (1.78) 2.71 / *** (2.72) 4.98 / *** (3.61) / Return *** 0.68*** t-stat 5-1 (-1.30) (0.29) (2.86) (3.70) Panel B: Risk-adjusted returns for media-based momentum Factor model 1F 3F 4F 6F Intercept 0.61*** 0.69*** 0.64*** 0.66*** Intercept t-stat (3.20) (3.87) (3.65) (3.68) Adjusted R Panel C: Benchmark-adjusted returns for media-based momentum Benchmark Size + Size+ Size+ DGTW characteristics Book-Market Turnover Industry Return 0.49*** 0.54*** 0.64*** 0.42*** t-stat (2.70) (3.01) (3.58) (2.69) 47
48 Table 5: (Residual) media coverage and momentum: Robustness results This table presents the results of various robustness tests. In (1), we form portfolios based on raw media coverage. In all following models, we rely on a residual media coverage measure from various regression specifications. In (2), the residual is based on ln(firm size) as the only explanatory variable. In (3), the residual is based on a S&P 500 dummy as the only explanatory variable. Model (4) contains both firm size and a S&P 500 dummy. In (5), we augment our baseline model of residual media coverage (see equation 1) with dummies for size deciles. In (6), we include dummies for the 48 Fama/French industries. In(7), we include turnover. In(8), we use both local and national newspaper reports and control for regional differences with 50 state dummies. Model (9) reverses the sorting procedure by first conditioning on formation period returns. In (10), we compute residual media coverage using only one regression based on the total number of articles over the whole formation period from t-6 to t-1. In (11), the residual is based on a panel regression with firm-fixed and month-fixed effects. Finally, (12) and (13) report the results for two subperiods of the entire sample (M1:1989-M12:1999 and M1:2000-M12:2010). The variable of interest is the difference in momentum returns (top 30% winner portfolio minus bottom 30% loser portfolio) between the highest and the lowest (residual) media coverage quintile. Momentum returns reported (in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). 1F refers to the CAPM, 3F to the Fama and French (1993) model, 4F to the Carhart (1997) model, and 6F to a model augmented with factors for short-term and long-term reversal. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months.* indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. Robustness Specification Raw 1F 3F 4F 6F difference alpha alpha alpha alpha 1) Using raw coverage (0.91) (1.23) (1.42) (1.29) (1.34) 2) Residual coverage (firm size only) 0.40** ** 0.47** 0.48** (1.98) (1.47) (2.25) (2.47) (2.51) 3) Residual coverage (S&P 500 dummy only) 0.72*** 0.71*** 0.75*** 0.64*** 0.66*** (4.37) (4.30) (4.66) (3.96) (4.14) 4) Residual coverage (firm size and S&P 500 dummy only) 0.65*** 0.57*** 0.66*** 0.63*** 0.64*** (3.46) (2.89) (3.68) (3.47) (3.49) 5) Baseline model + size decile dummies 0.53*** 0.50*** 0.60*** 0.60*** 0.63*** (2.95) (2.60) (3.57) (3.58) (3.65) 6) Baseline model + industry dummies 0.63*** 0.55*** 0.62*** 0.56*** 0.57*** (3.44) (3.01) (3.42) (3.11) (3.11) 7) Baseline model + turnover 0.66*** 0.59*** 0.66*** 0.63*** 0.65*** (3.56) (3.01) (3.69) (3.49) (3.54) 8) National and local media with region dummies 0.56*** 0.45** 0.52*** 0.57*** 0.58*** (3.45) (2.55) (3.09) (3.48) (3.43) 9) Reverse dependent sort 0.57*** 0.51*** 0.56*** 0.59*** 0.61*** (3.37) (2.87) (3.46) (3.60) (3.69) 10) Total no. articles during formation period 0.67*** 0.66*** 0.71*** 0.60*** 0.63*** (3.47) (3.27) (3.77) (3.32) (3.37) 11) Panel regression with firm-fixed effects 0.32* ** 0.39** 0.41** (1.95) (1.63) (2.20) (2.34) (2.43) 12) Subperiod M1:1989-M12: *** 0.73*** 0.78*** 0.64** 0.65*** (3.43) (3.00) (3.75) (2.50) (2.74) 13) Subperiod M1:2000-M12: * 0.41* 0.40** 0.40** 0.38* (1.77) (1.66) (1.98) (1.97) (1.82) 48
49 Table 6: Momentum, residual coverage, and stock characteristics: Fama/MacBeth regressions Following Bandarchuk and Hilscher (2013), we run Fama/MacBeth regressions of momentum profits on stock characteristics, idiosyncratic volatility, and extreme past returns (denoted as momentum strength). Stock characteristics include residual media coverage (which is already orthogonalized with respect to firm size, S&P 500 membership, Nasdaq membership and analyst coverage) as well as a set of additional factors that have been shown to impact the magnitude of momentum returns in previous work (book-to-market, turnover, firm age, the Amihud (2002) illiquidity ratio, share price, 48 Fama/French industry dummies). Residual media coverage is computed as in table 4. Momentum strength is calculated as exp(absolute difference between a stock s formation period log return and the median formation period log return of all stocks in the sample)-1. As in Bandarchuk and Hilscher (2013) we use log returns to achieve comparability in returns for extreme winners and extreme losers. Idiosyncratic volatility is the residual return from a month-to-month rolling Fama and French (1993) three factor regression using daily data. The residuals are then averaged over the six month formation period. We sort stocks into 25 different volatility portfolios and use the resulting rank as independent variable (1-25). Momentum return, the dependent variable, is the stock s forward return minus the sample median return, multiplied with a dummy variable being 1 (-1) if the stock was a winner (loser). Regressions aim at predicting the momentum return in t+1 (panel A) and the average momentum return from t+1 to t+6 (panel B). The sample period covers M1:1989-M12:2010. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months.* indicates significance at the 10% level, ** indicates significance at the 5% level and *** indicates significance at the 1% level. Panel A: Momentum return in t+1 Variable / Model specification I II III IV V Residual media coverage *** *** *** ** (3.74) (3.47) (2.96) (2.40) Momentum strength * * * (1.76) (1.71) (1.62) (1.78) Idiosyncratic volatility *** *** *** *** (4.63) (4.60) (2.98) (2.92) Firm characteristics no no no yes yes Industry controls no no no no yes Average adjusted R Panel B: Average momentum return from t+1 to t+6 Variable / Model specification I II III IV V Residual media coverage *** *** *** ** (3.76) (3.73) (3.32) (2.52) Momentum strength ** ** ** ** (2.42) (2.37) (2.36) (2.37) Idiosyncratic volatility *** ** (2.67) (2.55) (0.21) (0.93) Firm characteristics no no no yes yes Industry controls no no no no yes Average adjusted R
50 Table 7: Medium-run momentum and long-term reversal This table presents momentum returns over different holding periods for stock portfolios sorted on either unconditional residual media coverage (left-side columns) or tone-enhanced residual media coverage (right-side columns, past winners with positive tone and past losers with negative tone). See tables 4 and 8 for a detailed description of how portfolios are constructed. Tested holding periods are from month t+1 to t+12 (panel A), from month t+13 to t+36 (panel B), and from month t+1 to t+36 (panel C) after portfolio formation. Momentum returns (reported in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). The sample period covers M1:1989-M12:2010. In each panel, intercepts from the different factor models are reported only for the media-based momentum strategy, i.e. the difference between the momentum return for the high and low residual media coverage portfolios. 1F refers to the CAPM, 3F to the Fama and French (1993) model, 4F to the Carhart (1997) model, and 6F to a model augmented with factors for short-term and long-term reversal. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. * indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. Unconditional residual media coverage Tone-enhanced residual media coverage Panel A: Momentum effect in t+1 to t+12 Loser Winner Momentum Momentum Loser Winner Momentum Momentum return return return t-stat return return return t-stat Res. coverage portfolio (0.52) (-0.08) Res. coverage portfolio ** (2.02) (1.39) Return ** * 0.48** t-stat 5-1 (-0.39) (1.58) (2.42) (-0.75) (1.90) (2.09) Factor model 1F 3F 4F 6F 1F 3F 4F 6F Intercept 0.37** 0.46*** 0.40** 0.40** 0.47* 0.56** 0.44* 0.42* Intercept t-stat (2.17) (2.93) (2.49) (2.47) (1.94) (2.48) (1.82) (1.78) Panel B: Momentum effect in t+13 to t+36 Loser Winner Momentum Momentum Loser Winner Momentum Momentum return return return t-stat return return return t-stat Res. coverage portfolio (-1.58) ** (-2.10) Res. coverage portfolio ** (-2.54) *** (-3.44) Return ** ** t-stat 5-1 (1.41) (0.13) (-1.63) (2.12) (0.08) (-2.46) Factor model 1F 3F 4F 6F 1F 3F 4F 6F Intercept -0.23* ** -0.26** -0.27** -0.29** Intercept t-stat (-1.66) (-1.38) (-1.08) (1.21) (-2.36) (-2.48) (-2.46) (-2.58) Panel C: Momentum effect in t+1 to t+36 Loser Winner Momentum Momentum Loser Winner Momentum Momentum return return return t-stat return return return t-stat Res. coverage portfolio (-0.85) (-0.85) Res. coverage portfolio (-0.59) (-0.59) Return t-stat 5-1 (0.84) (0.90) (0.04) (1.27) (0.92) (-0.50) Factor model 1F 3F 4F 6F 1F 3F 4F 6F Intercept Intercept t-stat (-0.20) (1.05) (0.85) (0.74) (-0.45) (0.19) (-0.22) (-0.39) 50
51 Table 8: Tone-enhanced media-based momentum This table explores the role of article tone on media-based momentum. Tone is measured as the fraction of negative words based on the word list proposed in Loughran and McDonald (2011). Panel A shows the fraction of negative words in different momentum portfolios. Portfolios are constructed as in the baseline analysis (see table 4) except that we add a third sorting dimension based on above and below median article tone within each portfolio. Panel B and C replicate the baseline analysis (see table 4) conditioned on past winner and loser stocks with either negative or positive tone(see the panel description for details). To be consistent with our approach of measuring media coverage, the tone of the articles is first orthogonalized with respect to size, analyst coverage, S&P 500 membership and NASDAQ membership. In each panel, intercepts from the different factor models are reported only for the tone-enhanced media-based momentum strategy, i.e. the difference between the toneenhanced momentum return for the high and low residual media coverage portfolios. 1F refers to the CAPM, 3F to the Fama and French (1993) model, 4F to the Carhart (1997) model, and 6F to a model augmented with factors for short-term and long-term reversal. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months.* indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. Panel A: Percentage of negative words for different stock subgroups Residual media Winner stocks Loser stocks coverage portfolio negative tone positive tone negative tone positive tone % 0.19% 3.33% 0.31% % 1.00% 3.04% 1.36% Panel B: Media-based momentum with positive tone winners and negative tone losers Residual media Loser Winner Momentum Momentum coverage portfolio return return return t-stat (1.22) (1.13) (1.32) * (1.95) *** (3.34) Return * 0.51** 0.86*** t-stat 5-1 (-1.72) (2.60) (3.30) Factor model 1F 3F 4F 6F Intercept 0.85*** 0.94*** 0.82*** 0.82*** Intercept t-stat (3.14) (3.80) (3.22) (3.25) Panel C: Media-based momentum with negative tone winners and positive tone losers Residual media Loser Winner Momentum Momentum coverage portfolio return return return t-stat (1.49) ** (2.04) ** (2.01) *** (3.26) *** (3.24) Return ** 0.51*** t-stat 5-1 (-0.40) (2.45) (2.64) Factor model 1F 3F 4F 6F Intercept 0.37** 0.44** 0.48*** 0.50*** Intercept t-stat (2.05) (2.45) (2.65) (2.75) Panel D: Difference in media-based momentum: Panel B - Panel C Raw Return 1F 3F 4F 6F * 0.50** (1.31) (1.88) (2.07) (1.31) (1.23) 51
52 Table 9: Uncertainty and media-based momentum This table explores the role of uncertainty for media-based momentum. In each month, we rank stocks independently with regard to idiosyncratic volatility over the formation period, turnover over the formation period, cash-flow duration computed as in Dechow, Sloan, and Soliman (2004), and age at the end of the formation period. In panel A, uncertainty is defined as percentile(idiosyncratic volatility)+percentile(turnover)+percentile(cash-flow duration)-percentile(age). The analysis is then performed analogously to our baseline analysis (see table 4) except that we add a third dependent sorting dimension based on above or below median uncertainty in a given month. The intercepts for the different factor models are reported only for the uncertainty -enhanced media-based momentum strategies, i.e. the difference between the momentum return for the high and low residual media coverage portfolios separately for the low and high uncertainty environment, respectively. 1F refers to the CAPM, 3F to the Fama and French (1993) model, 4F to the Carhart (1997) model, and 6F to a model augmented with factors for short-term and long-term reversal. In panel B, we create a high uncertainty dummy which is one if a firm is above percentile 66 with regard to idiosyncratic volatility, turnover, and cash flow duration as well as in the bottom third with regard to firm age. A dummy for low uncertainty is defined analogously. The analysis in panel B is then performed as in table 6. In panel C, we first rely on daily data and a Fama and French (1993) model in order to compute average stock-level idiosyncratic volatility based on all NYSE/Amex/Nasdaq common stocks (share code 10 and 11) in a given month. We then use a median split to distinguish between periods of high and low idiosyncratic volatility and proceed to report raw returns as well as 6 factor alphas associated with the baseline media-based momentum effect separately for these two periods. * indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. [continued overleaf] 52
53 Panel A: Portfolio-level analysis Stocks with low Loser Winner Momentum Momentum uncertainty return return return t-stat Residual media coverage portfolio (0.45) Residual media coverage portfolio ** (2.11) Return *** 0.44*** t-stat 5-1 (-0.84) (2.71) (3.01) Factor model 1F 3F 4F 6F Intercept 0.43*** 0.46*** 0.36** 0.35** Intercept t-stat (2.79) (3.27) (2.26) (2.14) Stocks with high Loser Winner Momentum Momentum uncertainty return return return t-stat Residual media coverage portfolio (1.50) Residual media coverage portfolio *** (3.62) Return *** 0.92*** t-stat 5-1 (-1.57) (2.71) (2.96) Factor model 1F 3F 4F 6F Intercept 0.82** 0.93*** 0.93*** 0.96*** Intercept t-stat (2.52) (3.01) (3.02) (3.05) Difference in media-based momentum: high uncertainty - low uncertainty Raw Return 1F 3F 4F 6F * 0.61* (1.60) (1.23) (1.59) (1.84) (1.88) Panel B: Fama/MacBeth regressions of average return from t+1 to t+6 Residual media coverage *** *** *** (3.72) (3.45) (2.72) Low uncertainty ** ** ** (-2.17) (-2.24) (-2.30) High uncertainty ** * ** (2.22) (1.70) (1.98) Res. media x Low uncertainty (0.85) (-0.16) Res. media x High uncertainty * * (1.95) (1.91) Momentum strength yes yes yes Fama-French 48 industry dummies no no yes Panel C: Media-based momentum for different volatility periods High idio vola Low idio vola Difference Raw return 0.99*** 0.37** 0.62 Raw return t-stat (2.93) (2.14) (1.57) 6F intercept 1.00*** 0.31* 0.69* 6F intercept t-stat (3.10) (1.93) (1.80) 53
54 Table 10: Individualism and media-based momentum This table compares media-based momentum in collectivistic and individualistic areas. Both collectivistic and individualistic areas are constructed in a way that they each contain about 30% of sample firms. Only local newspapers are considered. Panel A displays portfolio momentum returns stemming from a double sort of residual media coverage (five portfolios in ascending order) and formation period returns. The model of residual coverage is the baseline model (see table 4) augmented with 50 state dummies. Momentum returns (reported in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. See section 4.4 for a more detailed description of this analysis. Panel B shows firm-level Fama/MacBeth regressions as in table 6. Of primary interest is the interaction term of residual media coverage and an individualism dummy, which is one (zero) for individualistic (collectivistic) regions. Firm-level controls include industry classification, momentum strength, idiosyncratic volatility, turnover book-to-market ratio, age, Amihud illiquidity, share price. State-level controls include mean firm characteristics and (current and lagged) gdp growth. State-level estimates of local bias are taken from Korniotis and Kumar (2013). The tone-enhanced analysis broadly follows table 8, but we orthogonalize the article tone with respect to 50 state dummies (and size, analyst coverage, S&P 500 membership, and Nasdaq membership). In both panels, the sample period covers M1:1989-M12:2010.* indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. Panel A: Portfolio-level analysis with state dummies Collectivistic areas Individualistic areas Residual media Momentum Momentum Momentum Momentum coverage portfolios return t-stat return t-stat (1.18) 0.19 (0.76) *** (3.14) 0.92*** (3.33) Return * 0.72*** t-stat 5-1 (1.66) (2.87) Difference in media-based momentum: individualistic - collectivistic Raw 1F 3F 4F 6F (0.83) (1.13) (1.01) (0.94) (1.00) Panel B: Fama/MacBeth regressions Mom return in t+1 Mom return from t+1 to t+6 I II I II Momentum strength and idio vola yes yes yes yes Firm characteristics yes yes yes yes Fama-French 48 Industry Dummies yes yes yes yes State-level controls no yes no yes Baseline analysis Res. Media x Individualism dummy * (1.58) (1.76) (1.29) (1.43) Only states with above median local bias (based on retail and institutional investors) Res. Media x Individualism dummy * * (1.85) (1.80) (1.28) (1.29) Only states with above median local bias (based on retail investors only) Res. Media x Individualism dummy 0.141* * (1.88) (1.80) (1.39) (1.43) Tone-enhanced analysis Res. Media x Individualism dummy ** ** * * (2.15) (2.31) (1.91) (1.94) 54
55 Appendix for Media Makes Momentum July 2014 This appendix contains supplemental material for the study Media Makes Momentum. It starts with an overview of the variables used in the paper. It then provides a discussion of our findings in contrast to those of Chan (2003). In this context, tables 1 to 3 compare our findings with those of Chan. Figure 1 shows the percentage of firms with media coverage in a given year. Figure 2 shows the return distribution of the media-based momentum effect uncovered in the study. Figure 3 shows the time-series of the media-based momentum effect as well as in its long leg (the momentum effect in the high residual media coverage portfolio) and its short leg (the momentum effect in the low media coverage portfolio). Figure 4 displays the buyand-hold long-term momentum profits for four portfolios constructed from stocks with high and low residual media coverage as well as high and low uncertainty, respectively. Tables 4 to 6 show summary statistics of total, national, and local media coverage. Table 7 shows descriptive statistics for newspaper article tone. Table 8 shows correlations between national media coverage and firm characteristics. Table 9 shows the relation between raw media coverage, firm size, and momentum returns. Table 10 shows the main findings from further robustness tests of our baseline analysis (table 4 in the paper). Table 11 shows the impact of institutional ownership on media-based momentum. Table 12 shows tone-enhanced media-based momentum if we rely on the raw tone (as opposed to the residual tone mostly used in the paper). Table 13 shows Fama/MacBeth regressions 1
56 of momentum returns with tone-enhanced residual media coverage as an explanatory variable. Table 14 displays state rankings of the U.S. collectivism score developed in Vandello and Cohen (1999). Table 15 explores the role of the state-level collectivism score proposed in Vandello and Cohen (1999) for the magnitude of the traditional momentum effect. Table 16 compares media-based momentum in collectivistic and individualistic states. The final two pages provide references. 2
57 Appendix: Variable Definitions Unless noted otherwise, data used for variable constructions are taken from CRSP and printed in italics. For a given month t, the momentum formation period covers the months t-7 to t-2. Amihud Illiquidity: We first compute a daily illiquidity measure defined as the absolute value of the daily stock return divided by scaled total daily dollar volume (prc vol/10 6 ). In our analysis, we then rely on the natural log of the equally weighted average of the daily illiquidity ratios over the last month of the formation period for the momentum portfolios. Analyst Coverage: Following Hong, Lim, and Stein (2000), analyst coverage is the natural log of (1+number of estimates for the firm s earnings next year). The number of estimates is from IBES (numest). We consider the average value over the formation period. Book-to-Market: Book-to-Market is the book value of equity (ceq) divided by market value of equity from Compustat. The market value of equity is measured as common shares outstanding (csho) times price at fiscal year end (prcc f ). Book-to-Market is computed as the average value over the formation period. Firm Size: Firm size is defined as the natural log of end-of-month market capitalization, which is calculated as the number of shares outstanding (shrout) times price (prc). We consider the average value over the formation period. Firm Age: Age is computed as the natural log of the number of months since the firm s PERMCO first appeared in CRSP (starting in 1925). Firm age is measured at the end of the formation period. Idiosyncratic Volatility: Idiosyncratic volatility is the residual from a Fama and French (1993) three factor regression (with mktrf from CRSP as excess market return) 3
58 using daily return data over the formation period for the momentum portfolios. Momentum Strength As in Bandarchuk and Hilscher (2013), momentum strength is defined as exp(absolute difference between a stock s formation period log return and the median formation period log return of all stocks in the sample)-1. Retpr6: Retpr6 is the cumulative return of the stock in the formation period. NASDAQ: NASDAQ is a dummy variable taking the value of 1 if the firm is listed on NASDAQ (exchcd=3). NASDAQ membership is measured at the end of the formation period. S&P 500: S&P 500 is a dummy variable taking the value of 1 if the firm s stock is a constituent of the S&P 500 index. Data is obtained from the Index Constituents database available in Compustat. S&P 500 membership is measured at the end of the formation period. Price: Price is computed as the natural log of the equally weighted average of the daily closing price (prc) over the last month of the formation period. Turnover: Turnover is share volume (vol) divided by shares outstanding (shrout). We use the following modifications for NASDAQ stocks (see e.g. Anderson and Dyl (2005)): We multiply turnover by 0.5 before and by 0.62 afterwards. Based on daily data, we then calculate average turnover (for all stocks) during the formation period and take the natural log. 4
59 Appendix: Comparison with the findings of Chan (2003) In his analysis, Chan (2003) relies both on newspapers (Wall Street Journal, Chicago Tribune, Los Angeles Times, New York Times, Washington Post, USA Today) and newswires (Associated Press Newswire, Gannett New Service, Dow Jones Newswire). While his newspaper database has a considerable overlap with ours, the additional use of newswires may lead to his news sample being considerably different from ours. Descriptive statistics show that this is indeed the case. In calculating these statistics, we aim at following his approach to the extent possible. Note that this is not perfectly possible, due to e.g. a different stock universe. For instance, Chan (2003) focusses on a random subsample of about a quarter of all CRSP stocks during his sample period ( ). In his sample, about one-half of stocks has some news in each month. In the later years of the sample period, this number increases to even close to two thirds. In contrast, relying on our national newspapers from 1980 to 2000, the coverage is only about 20%. Even if we focus on a more recent time period and also take local newspapers into account, the fraction of firms with news in a given month is well below 30%. It thus seems that most news events are driven by the use of newswires. Other statistics confirm this impression. For instance, 14% of firms have news in 90% or more months of their lifespan, according to Chan (2003). The respectively value in our analysis is 1%. Moreover, in the news data set of Chan (2003), only 8% of firms have news in 10% or less months. In contrast, in our newspaper data set, the respective value is more than 50%. Similar differences apply to other statistics, such as the probability of news in month t+1, conditioned on news in t. Despite these differences, we first aim at replicating the findings of Chan (2003) by using his methodology and our sample of newspapers. Note that this implies, for instance, the use of cumulative raw returns. The following table shows the main findings. Despite the considerable different data base, our results are broadly in line with his. There is a significant positive return difference, both in the medium run (momentum) and in the long run (potential reversal effects), between the winner minus loser spread in news stocks 5
60 and the winner minus loser spread in no news stocks. Table 1: Momentum and reversal in news and no news stocks (replication of table 4 in Chan (2003), similar methodology and similar stock data) News Stocks No News Stocks Holding Period Winner Loser Momentum Winner Loser Momentum Difference between news and no news stocks Holding Period Winner T-Stat Loser T-Stat Momentum T-Stat We next redo this analysis, but now focus on the subsample of stocks that we rely on in our paper. That is, we exclude stocks in the first NYSE size decile and stocks with prices below $5 at the end of the formation period to make sure that our findings are not driven by small and illiquid stocks. As stocks traded at the NYSE are typically large, our procedure implies that about 50% of CRSP firm months are dropped. Thus, many of the small stocks which Chan (2003) considers and in which the reported return drift is particularly pronounced will not enter our analysis. 1 As can be seen from table 2, this change considerable reduces the long run differences between the news and the no news sample. For instance, after 24 months, the difference between both samples is now only 1.41% as opposed to 3.91% if we do not exclude small firms. In other words, the findings become more in line with the results reported in our study. It is also worth noting that there is no loser drift anymore (fourth column, lower half of the table) as it was the case 1 Note that, despite this strict screening process, our final sample contains more firms (about 7,800) than Chan s randomly selected CRSP subsample (about 4,200). 6
61 in table 1. The effect now tends to come more from the winner side, as it the case in our study. Thus, the use of the firm universe is important. Table 2: Momentum and reversal in news and no news stocks (replication of table 4 in Chan (2003), similar methodology, but exclusion of small stocks) News Stocks No News Stocks Holding Period Winner Loser Momentum Winner Loser Momentum Difference between news and no news stocks Holding Period Winner T-Stat Loser T-Stat Momentum T-Stat Note that there also a number of methodological differences in our paper and the study by Chan (2003). For instance, the ways media coverage are measured can hardly be compared. Chan (2003) relies on a binary analysis quantifying whether a stock was mentionedintheheadlineorleadparagraphinagivenmonth.incontrast,weconsiderthe exact number of all firm-specific articles as indicated by LexisNexis. Note that this does not necessarily imply that the firm is mentioned in the headline or the first paragraph. Moreover, we rely on a measure of excess coverage which measures the unexpectedly high or low weight the media attaches to a given firm, holding important characteristics as firm size or analyst coverage fixed. In addition, while Chan (2003) considers news stories over the previous month, we rely on the previous six months. The same holds true for the length of the formation period. Chan (2003) relies on one month, we on six months, which is the period predominantly used in the momentum literature. Note also that the return computation scheme and the sample periods differ. 7
62 In addition, the descriptive statistics shown above give rise to the question to what extent the large impact of newswires might lead to a qualitatively different sample of news events. For instance, 90% of firms that make an earnings announcement in a specific month are included in the news sample of Chan (2003), but only 43% are included in our solely newspaper-based replication. This lends support to the idea that the newswire sample is more likely to catch actual news events, i.e. the arrival of new information, whereas our newspaper articles might, in the first place, proxy for attention effects not necessarily related to time-sensitive valuable news. The following table provides strong support for this notion. We follow the methodology of Chan(2003) with our newspaper sample, but now include the additional constraint that only newspaper articles in firm months without an earnings announcement and without an 8-K filing are taken into account. This procedure is intended to isolate the true impact of newspaper articles, controlling for firm-specific news, which are likely to be reflected in newswire articles. We exemplarily select a sample period from 1995 to 2010, as 8-K filings only become available from 1995 on. Table 3: Momentum and reversal in news and no news stocks based on newspaper articles in months without earnings announcements and 8-K-filings News Stocks No News Stocks Holding Period Winner Loser Momentum Winner Loser Momentum Difference between news and no news stocks Holding Period Winner T-Stat Loser T-Stat Momentum T-Stat
63 The table shows an intriguing result. Now, and in contrast to Chan (2003), firms with news show a pronounced long-term reversal. Due to this fact, the return difference between news stocks and no news stocks is insignificant in the long run, which is qualitatively similar to our baseline findings in the paper. In contrast and as verified in untabulated tests, if we only focus on the months during which there were earnings announcements or 8-K filings, then there are long-tern return differences. Together, these findings suggest that the behavior of returns in the long run depends on the type of articles studied. If one focusses primarily on articles which are likely to contain value-relevant news (as the newswires in Chan (2003)), then there does not seem to be a long-term reversal effect. This is in line with the idea of slow information diffusion. In contrast, if one focusses primarily on pure media coverage not necessarily related to news about fundamentals (as in our baseline analysis or in the exercise above), then momentum returns tend to reverse in the long run. This is in line with the idea of investor attention leading to overreaction. Note that this might also partly explain why Chan (2003) finds stronger findings in the short leg of the portfolio, whereas our findings are stronger in the long leg (see also Barber and Odean (2008)). Another reason for this discrepancy might be the impact of small and illiquid firms, as suggested by the comparison of tables 1 and 2. Together, the crucial differences in sample firms, news articles, and in the methodology are likely to explain while the two studies arrive at partly different conclusions. 9
64 Figure 1: Percentage of firms with media coverage in a given year This figure shows the time-series evolution of the percentage of firms with press coverage separated by national, local, and all newspapers in a given year. The total media data set consists of 45 different newspapers with weekday circulation, of which the four major U.S. newspapers New York Times, USA Today, Wall Street Journal, and Washington Post make up the national newspaper data set. For details about local newspapers, see for instance table 6 in this appendix. 10
65 Figure 2: Return distribution of the media-based momentum effect This figure shows the historical return distribution of media-based momentum which is defined as the difference between the momentum effect in the portfolio of stocks with the highest residual media coverage and the momentum effect in the portfolio of stocks with the lowest residual coverage. To construct the momentum portfolios we use a formation and holding period of six months each and skip one month in between. Residual media coverage quintiles are based on the firm s average residual media coverage from our baseline regression model during the formation period and consider only firms with at least one article over this period. Within each quintile, the winner (loser) portfolio consists of all stocks with a formation period return above the 70th percentile (below the 30th percentile). Momentum returns (reported in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). The sample period covers M1:1989- M12:2010. Frequency Media based momentum 11
66 Figure 3: Time-series of different momentum portfolios This figure separately shows the monthly time series of the momentum effect among firms with low residual media coverage and high residual media coverage. It also displays the time-series of mediabased momentum which is defined as the difference between the momentum effect among high coverage firms and low coverage firms. To construct the momentum portfolios we use a formation and holding period of six months each and skip one month in between. Residual media coverage quintiles are based on the firm s average residual media coverage from our baseline regression model during the formation period and consider only firms with at least one article over this period. Within each quintile, the winner (loser) portfolio consists of all stocks with a formation period return above the 70th percentile (below the 30th percentile). Momentum returns (reported in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). The sample period covers M1:1989-M12:
67 Figure 4: Buy-and-hold long-term momentum profits for stocks differing in the degree of residual media coverage as well as uncertainty This figure shows the cumulative buy-and-hold returns for a winner minus loser long-short strategy separately for four different stock categories. These categories differ with respect to the extent of residual stock-level media coverage (high, low) and with respect to the degree of uncertainty (high, low). More precisely, the graph illustrates the buy-and-hold return of the portfolios described in detail in panel A of table 9 in the paper. The analysis is performed analogously to the baseline analysis for media-based momentum (see table 4 in the paper) except that we additionally add a third dependent sorting dimension based on above or below median uncertainty in a given month. Uncertainty is defined as percentile(idiosyncratic volatility)+percentile(turnover)+percentile(cashflow duration)-percentile(age), where stocks are ranked independently with regard to idiosyncratic volatility over the formation period, turnover over the formation period, cash-flow duration computed as in Dechow, Sloan, and Soliman (2004), and age at the end of the formation period. The sample period covers M1:1989-M12:
68 Table 4: Summary statistics on total media coverage This table presents summary statistics on the total media coverage of our sample firms. Total media coverage is defined as the sum of articles obtained from four national and 41 local newpapers (see e.g. table 1 of the paper for details). Articles are obtained from LexisNexis using the company search function and a relevance score of at least 80%. Panel A of the table shows the total number of firms (N) and the percentage of firms having at least one article ( % covered ) in a given year. The statistics are also shown for sub-samples divided in NYSE/AMEX and Nasdaq stocks. Panel B of the table reports distribution details for the yearly number of articles, conditioned on firms having at least one article in a year. The sample period covers M1:1989-M12:2010. Panel A: Unconditional total (national and local) media coverage All Stocks NYSE/AMEX Stocks Nasdaq Stocks Year N % covered N % covered N % covered , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 2, % , % 1, % 2, % , % 1, % 2, % , % 1, % 2, % , % 2, % 2, % , % 2, % 2, % , % 1, % 2, % , % 1, % 3, % , % 1, % 2, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % All years 3, % 1, % 2, % Panel B: Distribution of yearly articles ( ) conditional on coverage Mean Median p1 p25 p75 p
69 Table 5: Summary statistics on national media coverage This table presents summary statistics on the national media coverage of our sample firms. National media coverage is based on articles written about a firm in one of the following four U.S. newspapers: New York Times, USA Today, Wall Street Journal, and Washington Post. Articles are obtained from LexisNexis using the company search function and a relevance score of at least 80%. Panel A of the table shows the total number of firms (N) and the percentage of firms having at least one article ( % covered ) in a given year. The statistics are also shown for sub-samples divided in NYSE/AMEX and Nasdaq stocks. Panel B of the table reports distribution details for the yearly number of articles, conditioned on firms having at least one article in a year. The sample period covers M1:1989-M12:2010. Panel A: Unconditional national media coverage All Stocks NYSE/AMEX Stocks Nasdaq Stocks Year N % covered N % covered N % covered , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 2, % , % 1, % 2, % , % 1, % 2, % , % 1, % 2, % , % 2, % 2, % , % 2, % 2, % , % 1, % 2, % , % 1, % 3, % , % 1, % 2, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % All years 3, % 1, % 2, % Panel B: Distribution of yearly articles ( ) conditional on coverage Mean Median p1 p25 p75 p
70 Table 6: Summary statistics on local media coverage This table presents summary statistics on the local media coverage of our sample firms. Local media coverage is based on articles written about a firm in one of the following 41 U.S. newspapers: Arkansas Democrat Gazette, Atlanta Journal and Constitution, Augusta Chronicle, Austin American Statesman, Birmingham News, Boston Herald, Buffalo News, Chicago Sun Times, Daily News New York, Dallas Morning News, Dayton Daily News, Denver Post, Fresno Bee, Houston Chronicle, Las Vegas Review Journal, Minneapolis Star Tribune, New Orleans Times Picayune, New York Post, Palm Beach Post, Pittsburgh Post Gazette, Richmond Times-Dispatch, Sacramento Bee, Salt Lake Tribune, San Antonio Express News, San Francisco Chronicle, San Jose Mercury News, Santa Fe New Mexican, Seattle Post Intelligencer, St. Louis Post Dispatch, St. Petersburg Times, Star Ledger (Newark, NJ), Tampa Tribune, The Oklahoman, The Oregonian, The Philadelphia Inquirer, The Plain Dealer, The Providence Journal, The Record (Bergen), The Virginian Pilot, Tulsa World, Wisconsin State Journal. Articles are obtained from LexisNexis using the company search function and a relevance score of at least 80%. Panel A of the table shows the total number of firms (N) and the percentage of firms having at least one article ( % covered ) in a given year. The statistics are also shown for sub-samples divided in NYSE/AMEX and Nasdaq stocks. Panel B of the table reports distribution details for the yearly number of articles, conditioned on firms having at least one article in a year. The sample period covers M1:1989-M12:2010. Panel A: Unconditional local media coverage All Stocks NYSE/AMEX Stocks Nasdaq Stocks Year N % covered N % covered N % covered , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 2, % , % 1, % 2, % , % 1, % 2, % , % 1, % 2, % , % 2, % 2, % , % 2, % 2, % , % 1, % 2, % , % 1, % 3, % , % 1, % 2, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % , % 1, % 1, % All years 3, % 1, % 2, % Panel B: Distribution of yearly articles ( ) conditional on coverage Mean Median p1 p25 p75 p
71 Table 7: Newspaper article tone: Descriptive statistics This table shows descriptive statistics of newspaper article tone for all momentum formation period firm months in our sample. Newspaper article tone is measured as the fraction of negative words based on the word list proposed in Loughran and McDonald (2011). Panel A (B) shows descriptive statistics for national (local) newspaper by year. Panel C reports average yearly values for all newspaper articles written in the time period 1989 to 2010 in national newspapers and local newspapers. Panel A: Tone in national newspapers (by year) year Mean Median St. Dev. p1 p25 p75 p % 1.16% 2.08% 0.00% 0.00% 2.27% 9.38% % 1.13% 1.83% 0.00% 0.00% 2.26% 8.33% % 1.26% 2.12% 0.00% 0.00% 2.52% 10.14% % 1.11% 2.00% 0.00% 0.00% 2.32% 9.52% % 1.10% 1.88% 0.00% 0.00% 2.24% 8.70% % 0.90% 1.78% 0.00% 0.00% 2.00% 7.94% % 0.91% 1.68% 0.00% 0.00% 1.95% 7.69% % 1.09% 1.94% 0.00% 0.00% 2.21% 9.08% % 1.01% 2.04% 0.00% 0.00% 2.18% 9.52% % 0.99% 1.81% 0.00% 0.00% 2.10% 8.33% % 1.02% 1.85% 0.00% 0.00% 2.17% 8.96% % 1.00% 1.79% 0.00% 0.00% 2.03% 8.31% % 1.44% 1.85% 0.00% 0.20% 2.59% 8.33% % 1.51% 1.79% 0.00% 0.30% 2.64% 7.94% % 1.57% 1.79% 0.00% 0.49% 2.65% 7.92% % 1.28% 1.75% 0.00% 0.39% 2.43% 7.69% % 1.22% 1.85% 0.00% 0.00% 2.41% 8.30% % 1.25% 1.80% 0.00% 0.00% 2.29% 8.13% % 1.46% 1.92% 0.00% 0.28% 2.58% 8.73% % 1.63% 2.23% 0.00% 0.32% 2.86% 10.34% % 1.89% 2.23% 0.00% 0.68% 3.11% 10.64% % 1.55% 2.18% 0.00% 0.38% 2.75% 10.26% Panel B: tone in local newspapers (by year) year Mean Median St. Dev. p1 p25 p75 p % 1.56% 1.38% 0.00% 0.95% 2.28% 7.45% % 1.58% 1.20% 0.00% 0.95% 2.28% 5.79% % 1.69% 1.16% 0.00% 1.07% 2.41% 5.56% % 1.66% 1.23% 0.00% 0.98% 2.37% 5.92% % 1.56% 1.25% 0.00% 0.95% 2.26% 6.25% % 1.38% 1.12% 0.00% 0.82% 2.00% 5.54% % 1.31% 1.10% 0.00% 0.77% 1.92% 5.63% % 1.34% 1.06% 0.00% 0.79% 1.94% 5.20% % 1.32% 1.01% 0.00% 0.81% 1.89% 4.76% % 1.36% 0.99% 0.00% 0.85% 1.95% 4.86% % 1.37% 1.00% 0.00% 0.88% 1.93% 5.11% % 1.33% 1.00% 0.00% 0.82% 1.87% 4.91% % 1.62% 1.09% 0.00% 1.04% 2.20% 5.31% % 1.68% 1.05% 0.00% 1.10% 2.31% 5.18% % 1.66% 1.11% 0.00% 1.08% 2.30% 5.38% % 1.56% 1.10% 0.00% 0.95% 2.21% 5.57% % 1.47% 1.09% 0.00% 0.89% 2.09% 5.56% % 1.41% 0.99% 0.00% 0.87% 1.97% 4.96% % 1.42% 1.02% 0.00% 0.88% 1.98% 5.18% % 1.59% 1.08% 0.00% 0.97% 2.20% 5.30% % 1.85% 1.20% 0.00% 1.18% 2.49% 6.08% % 1.55% 1.13% 0.00% 0.97% 2.16% 5.90% Panel C: Tone averaged over 1989 to 2010 National Newspapers Mean Median St. Dev. p1 p25 p75 p % 1.25% 1.92% 0.00% 0.14% 2.39% 8.83% Local Newspapers Mean Median St. Dev. p1 p25 p75 p % 1.51% 1.11% 0.00% 0.93% 2.14% 5.52% 17
72 Table 8: Correlations between national media coverage and firm characteristics This table presents time-series averages of monthly cross-sectional correlations between media coverage and a list of firm variables. Media coverage is based on articles written on a firm in one of the following four U.S. newspapers: New York Times, USA Today, Wall Street Journal, and Washington Post. Articles are obtained from LexisNexis using the company search function and a relevance score of at least 80%. Panel A shows the results for raw media coverage which is - due to the skewness of the media data - calculated as the natural log of (1+ number of articles). Panel B reports correlation results for residual media coverage, where the residuals are obtained from rolling month-to-month OLS regressions of raw media coverage on firm size, S&P 500, NASDAQ, and analyst coverage. Size is the natural log of market capitalization. S&P 500 and NASDAQ are dummy variables which take the value of 1 when the firm 18 is a member of the S&P 500 index or is listed on the NASDAQ. Analyst coverage is the natural log of (1+number of earnings estimates). Book-to-market is the firm s equity book-to-market ratio, turnover is the average share volume divided by shares outstanding and IVOL is the residual of a Fama/French three factor model. For both, turnover and IVOL, we use daily data over the last six months and take the natural log. AbsRetpr6 is the absolute value of the stock s return over the previous six months. Price is the share price in CRSP, Amihud is the Amihud (2002) illiquidity ratio, and firm age is based on the first appearance of the stock s permco in CRSP. Further construction details are in the appendix. The sample period covers M1:1989-M12:2010. Size Book-to-Market S&P 500 NASDAQ Turnover Analyst Coverage IVOL AbsRetpr6 Price Amihud Age Raw Media Res. Media Panel A: Monthly raw media coverage Raw Media Panel B: Monthly residual media coverage Residual Media
73 Table 9: Raw media coverage, firm size and momentum This table presents momentum returns for stock portfolios sorted first by raw media coverage (in panel A) or by firm size (in panel B). In both panels, the eligible firm universe is the same as for our baseline analysis in the paper. More precisely, we exclude firms with zero media coverage during the formation period, a market capitalization belonging to the smallest NYSE size decile at the end of the formation period, or a stock price smaller than 5 USD at the end of the formation period. Within each raw media coverage or firm size quintile, the winner (loser) portfolio consists of all stocks with a formation period return above the 70th percentile (below the 30th percentile). Momentum returns (reported in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). The sample period covers M1:1989-M12:2010. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. * indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. Panel A: Momentum returns for raw media coverage portfolios Raw MC Loser Mid Winner Mom T-Stat Median NYSE Quintile Return Return Return Return Size Decile ** (2.06) ** (2.23) *** (3.09) ** (2.51) ** (2.50) T-Stat (0.22) (-0.25) (1.00) (0.91) Panel B: Momentum returns for size-sorted portfolios Size Loser Mid Winner Mom T-Stat Median NYSE Quintile Return Return Return Return Size Decile *** (3.07) ** (2.54) ** (1.99) ** (2.39) ** (2.00) * T-Stat (0.12) (-0.60) (-1.11) (-1.79) 19
74 Table 10: Residual media coverage and momentum: Robustness results This table presents the results of various robustness tests in which we modify our baseline specification. In (1) and (2), we use raw coverage but condition on firms which are (not) members of the S&P 500 index. In the case of S&P 500 stocks, we form three media coverage portfolios only in order to assure a sufficient number of firms in the momentum portfolios. In all following models, we rely on residual media coverage obtained from monthly cross-sectional OLS regressions. Unless noted otherwise, we rely on our baseline model of residual media coverage (see equation 1 in the paper). In (3), we also take firms without any media coverage during the formation period into account when we form residual media coverage portfolios. In (4), we weight the monthly residuals (between t-6 and t-1) by (7-t)/21 which gives a larger weight to months near the end of the formation period. In (5) and (6) we scale residual media coverage by 1+ln(1+ number of articles) and the standard deviation of the residual from t-6 to t-1, respectively. In (7), we repeat the analysis counting only articles with a LexisNexis relevance score of 90% or more. (8) to (10) report our results for adjustments to the OLS estimation. More precisely, we include a firm s book-to-market ratio, an earnings announcement dummy, or an earnings announcement dummy and the logarithmized monthly number of 8-K filings as additional independent variables. In (11) we re-estimate residual media coverage using articles in both national and local audiences. In (12) we only consider local newspaper reports, and run the regression with 50 state dummies. (13) summarizes momentum differences between top and bottom media deciles instead of quintiles. (14) employs an independent sorting procedure. In (15), momentum portfolios are constructed excluding stocks with the most extreme formation period returns (return deciles one and ten). The variable of interest is the difference in momentum returns (top 30% winner portfolio minus bottom 30% loser portfolio) between the highest and the lowest residual media coverage quintile. Momentum returns reported (in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). 1F refers to the CAPM, 3F to the Fama and French (1993) model, 4F to the Carhart (1997) model, and 6F to a model augmented with factors for short-term and long-term reversal. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months.* indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. [continued overleaf] 20
75 Table 4: Residual media coverage and momentum: Robustness results (continued) Robustness Specification Raw 1F 3F 4F 6F difference alpha alpha alpha alpha Panel A: Using raw media coverage 1) Using raw coverage among S&P 500 stocks 0.32* * (1.79) (1.50) (1.72) (1.53) (1.47) 2) Using raw coverage among non S&P 500 stocks 0.66*** 0.69*** 0.76*** 0.59** 0.63** (2.75) (2.82) (3.05) (2.30) (2.46) Panel B: Changes in model estimation and calculation of residual media coverage 3) Including firms with zero coverage 0.52*** 0.37** 0.48*** 0.52*** 0.52*** (3.20) (2.20) (3.22) (3.28) (3.34) 4) Weighted residual coverage 0.55*** 0.51*** 0.58*** 0.55*** 0.57*** (3.13) (2.73) (3.44) (3.33) (3.45) 5) Scaled by 1+ln(1+ number of articles) 0.71*** 0.60*** 0.69*** 0.63*** 0.64*** (3.56) (2.94) (3.68) (3.41) (3.47) 6) Scaled by std(residual) in t-6 to t *** 0.52*** 0.60*** 0.57*** 0.59*** (3.32) (2.65) (3.24) (3.10) (3.12) 7) Relevance Score *** 0.58*** 0.67*** 0.61*** 0.63*** (3.58) (3.11) (3.95) (3.58) (3.60) 9) Baseline model + book-to-market 0.62*** 0.54*** 0.67*** 0.60*** 0.62*** (3.47) (2.97) (3.67) (3.41) (3.46) 9) Baseline model + earnings announcement (=ea) dummy 0.70*** 0.62*** 0.71*** 0.66*** 0.68*** (3.80) (3.29) (3.98) (3.75) (3.77) 10) Baseline model + ea dummy + 8-k filings ( ) 0.69*** 0.60** 0.67*** 0.66*** 0.66*** (3.06) (2.53) (3.05) (3.03) (3.00) Panel C: Inclusion of local media articles 11) National and local media articles 0.50*** 0.40** 0.46*** 0.49*** 0.51*** (3.20) (2.36) (2.85) (3.16) (3.15) 12) Local media articles with region dummies 0.43*** 0.32* 0.37** 0.48*** 0.49*** (2.68) (1.92) (2.24) (3.05) (3.03) Panel D: Changes in sorting procedure and stock sample 13) Media deciles 0.65*** 0.59** 0.66*** 0.57** 0.61*** (2.85) (2.56) (3.02) (2.60) (2.76) 14) Independent sort 0.56*** 0.50*** 0.56*** 0.61*** 0.62*** (3.11) (2.64) (3.25) (3.48) (3.52) 15) Excluding return deciles 1 and *** 0.39** 0.42*** 0.34** 0.35** (2.84) (2.56) (2.92) (2.32) (2.50) 21
76 Table 11: Institutional ownership and media-based momentum This table explores the role of institutional ownership for media-based momentum. Panel A and B contain portfolio tests. The analysis is performed analogously to our baseline analysis (see table 4 in the paper) except that in panel A (B) we add a third dependent sorting dimension based on above or below median raw (residual) institutional ownership in a given month. Data on institutional ownership is gathered from the Thomson-Reuters Institutional Holdings (13F) Database. In panel B, institutional ownership is orthogonalized with respect to the same variables as media coverage (i.e. firm size, analyst coverage, S&P 500 membership, and Nasdaq membership). The sample period covers M1:1989-M12:2010. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. Panel C and D report Fama/MacBeth regressions analogously to table 6 in the paper. We construct a dummy which quantifies a median split based on raw institutional ownership (in panel C) or residual institutional ownership (in panel D). In both cases, the dummy is one (zero) for firms with above (below) institutional ownership. The setting corresponds to table 6, panel B, specification V in the paper and thus controls for a large set of firm and industry characteristics. * indicates significance at the 10% level, ** indicates significance at the 5% level, and *** indicates significance at the 1% level. Specification Raw 1F 3F 4F 6F alpha alpha alpha alpha Panel A: Triple sorts with raw institutional ownership (IO) Media-based momentum among stock with high IO 0.55*** 0.48** 0.53*** 0.56*** 0.58*** (3.02) (2.55) (2.68) (2.73) (2.85) Media-based momentum among stock with low IO 0.83*** 0.75*** 0.86*** 0.75*** 0.76*** (3.02) (2.67) (3.35) (2.79) (3.05) Difference: high IO - low IO (-1.06) (-0.94) (-1.14) (-0.59) (-0.64) Panel B: Triple sorts with residual institutional ownership (IO) Media-based momentum among stock with high res. IO 0.76*** 0.68*** 0.74*** 0.76*** 0.77*** (3.89) (3.39) (3.58) (3.64) (3.57) Media-based momentum among stock with low res. IO 0.63** 0.56** 0.66*** 0.55** 0.57** (2.53) (2.15) (2.77) (2.26) (2.46) Difference: high res. IO - low res. IO (0.52) (0.48) (0.31) (0.73) (0.76) Panel C: Fama/MacBeth regressions with raw institutional ownership (IO) Coefficient (t-stat) High IO dummy: (-0.10) Coefficient (t-stat) High IO dummy * Res. media coverage: 0.073* (1.78) Panel D: Fama/MacBeth regressions with residual institutional ownership (IO) Coefficient (t-stat) High res. IO dummy: (-1.17) Coefficient (t-stat) High res. IO dummy * Res. media coverage: (1.57) 22
77 Table 12: (Raw) tone-enhanced media-based momentum This table explores the role of article tone on media-based momentum. Tone is measured as the fraction of negative words based on the word list proposed in Loughran and McDonald (2011). Portfolios are constructed as in the baseline analysis of our study except that we add an additional sorting dimension based on above and below median article tone within each portfolio. Panel A and B replicate the baseline analysis conditioned on past winner and loser stocks with either negative or positive tone (see the panel description for details). In contrast to the paper, we rely on raw tone in this table. 1F refers to the CAPM, 3F to the Fama and French (1993) model, 4F to the Carhart (1997) model and 6F to a model augmented with factors for short-term and long-term reversal. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months.* indicates significance at the 10% level, ** indicates significance at the 5% level and *** indicates significance at the 1% level. Panel A: Media-based momentum with positive tone winners and negative tone losers Residual media Loser Winner Momentum Momentum coverage portfolio return return return t-stat (0.97) (0.95) (1.20) (1.63) *** (3.12) Return * 0.50** 0.84*** t-stat 5-1 (-1.69) (2.46) (3.19) Factor model 1F 3F 4F 6F Intercept *** 0.88*** 0.77*** 0.76*** Intercept t-stat (2.91) (3.39) (2.91) (2.94) Panel B: Media-based momentum with negative tone winners and positive tone losers Residual media Loser Winner Momentum Momentum coverage portfolio return return return t-stat (1.72) (2.14) (2.18) (3.59) (3.46) Return *** 0.53*** t-stat 5-1 (-0.44) (2.72) (2.86) Factor model 1F 3F 4F 6F Intercept ** 0.51** 0.52*** 0.56*** Intercept t-stat (2.32) (2.98) (3.09) (3.21) 23
78 Table 13: Momentum and tone-enhanced residual media coverage: Fama/MacBeth regressions This analysis mirrors table 6 in the paper, with the difference that we explore the role of toneenhanced residual media coverage (instead of unconditional residual media coverage). For each month and each residual media coverage portfolio, the median residual tone is calculated. Winner stocks with above median negativity and losers stocks with below median negativity are then excluded. The residual media coverage of the remaining stocks is refereed to as tone-enhanced residual media coverage. Following Bandarchuk and Hilscher (2013), we subsequently run Fama/MacBeth regressions of momentum profits on stock characteristics, idiosyncratic volatility, and extreme past returns (denoted as momentum strength). Stock characteristics include tone-enhanced residual media coverage (which is already orthogonalized with respect to firm size, S&P 500 membership, Nasdaq membership and analyst coverage) as well as a set of additional factors that have been shown to also impact the magnitude of momentum returns in previous work (book-to-market, turnover, firm age, the Amihud (2002) illiquidity ratio, share price, 48 Fama/French industry dummies). Momentum strength is calculated as exp(absolute difference between a stock s formation period log return and the median formation period log return of all stocks in the sample)-1. As in Bandarchuk and Hilscher (2013) we use log returns to achieve comparability in returns for extreme winners and extreme losers. Idiosyncratic volatility is the residual return from a month-to-month rolling Fama and French (1993) three factor regression using daily data. The residuals are then averaged over the six month formation period. We sort stocks into 25 different volatility portfolios and use the resulting rank as independent variable (1-25). Momentum return, the dependent variable, is the stock s forward return minus the sample median return, multiplied with a dummy variable being 1 (-1) if the stock was a winner (loser). This calculation is also based on Bandarchuk and Hilscher (2013). Regressions aim at predicting the momentum return in t+1 (panel A) and the average momentum return in t+1 to t+6 (panel B). The sample period covers M1:1989-M12:2010. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months.* indicates significance at the 10% level, ** indicates significance at the 5% level and *** indicates significance at the 1% level. Panel A: Momentum return in t+1 Variable / Model specification I II III IV V Tone-enhanced residual media coverage *** *** *** ** (3.83) (3.56) (3.17) (2.37) Momentum strength * * ** ** (1.87) (1.79) (1.97) (2.23) Idiosyncratic volatility ** * ** (2.00) (1.91) (1.55) (2.11) Firm characteristics no no no yes yes Industry controls no no no no yes Panel B: Average momentum return from t+1 to t+6 Variable / Model specification I II III IV V Tone-enhanced residual media coverage *** *** *** * (3.94) (3.80) (3.09) (1.90) Momentum strength *** *** *** *** (2.94) (2.89) (3.07) (2.99) Idiosyncratic volatility (-0.23) (-0.37) (-0.76) (0.45) Firm characteristics no no no yes yes Industry controls no no no no yes 24
79 Table 14: State-level collectivism score This table presents the state-level Collectivsm Score which refers to the collectivism index proposed in Vandello and Cohen (1999). State ID Collectivism score Alabama 1 57 Alaska 2 48 Arizona 3 49 Arkansas 4 54 California 5 60 Colorado 6 36 Connecticut 7 50 Delaware 8 55 Florida 9 54 Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming
80 Table 15: State-level individualism and traditional momentum This table explores the role of the state-level collectivism score proposed in Vandello and Cohen (1999) for the magnitude of the traditional momentum effect at the state-level. We start with the common stocks of the CRSP universe and apply the same filter rules as in the main paper. Most importantly, firms with a nominal share price of less than 5 USD or a market capitalization belonging to the first NYSE size decile are dropped from the analysis. For each month, we then compute the traditional momentum effect (top quintile formation period return - bottom quintile) for each state with at least 15 eligible firms. We use a formation period of six months, one skipped month, and a six month evaluation period. Momentum returns (in % per month) are based on overlapping portfolios which are equally weighted as in Jegadeesh and Titman (1993). We then pool the state-level time series and regress them on the state-level collectivism score and control variables. Firm controls include state-level averages/medians of momentum strength, idiosyncratic volatility, book to market ratio, S&P 500 membership, Nasdaq membership, firm age, NYSE market capitalization decile, turnover, and industry membership based on 1 digit SIC codes. State controls include lagged state-level gdp growth and the number of eligible stocks of firms headquartered in the state. The sample period covers M1:1965-M12:2011. Panels A uses data from all state months which meet data requirements. Panel B conditions on the states with above-median local bias. Data on local bias is taken from Korniotis and Kumar (2013). Standard errors are double-clustered by state and month. * indicates significance at the 10% level, ** indicates significance at the 5% level and *** indicates significance at the 1% level. Panel A: All states Univariate With firm controls With firm and state controls N 15,155 15,155 15,155 Coefficient on collectivism score * ** t-stat (-1.45) (-1.70) (-2.25) Panel B: States with above median local bias Univariate With firm controls With firm and state controls N 7,963 7,963 7,963 Coefficient on collectivism score *** *** t-stat (-1.56) (-2.93) (-3.74) 26
81 Table 16: Individualism and media-based momentum: Portfolio-level analysis This table compares media-based momentum in collectivistic and individualistic areas. See the paper for a more detailed description of this analysis. Both collectivistic and individualistic areas are constructed in a way that they each contain about 30% of sample firms. The table displays portfolio momentum returns stemming from a double sort of residual media coverage and formation period returns. Residual media coverage is computed as in the baseline analysis in the paper. Momentum returns (reported in % per month) are based on overlapping portfolios which are equally weighted as in the original work of Jegadeesh and Titman (1993). The sample period covers M1:1989-M12:2010. Panels A and B differ in the way residual media coverage is estimated and in the way the sorting procedure is carried out. In panel A, we rely on the baseline model. However, the subsequent sorting procedure is done for each state separately. Residual media coverage portfolios are then constructed from the pooled region portfolios. In panel B, we again rely on the baseline model. However, we now run the regression and sorting procedure separately for the pooled firm months in the collectivistic area and for the pooled firm months in the individualistic area. T-statistics (in parentheses) are adjusted for serial autocorrelation using Newey and West (1987) standard errors with a lag of five months. * indicates significance at the 10% level, ** indicates significance at the 5% level and *** indicates significance at the 1% level. Collectivistic areas Individualistic areas Difference in Residual media Momentum Momentum Momentum Momentum media-based coverage portfolios return t-stat return t-stat momentum Panel A: Separate estimation Raw returns (1.02) 0.12 (0.47) * (1.89) 0.40 (1.60) ** (2.46) 0.71** (2.55) ** (2.60) 0.59** (2.36) *** (3.25) 0.84*** (3.13) Return * 0.72*** 0.20 t-stat 5-1 (1.71) (2.98) (0.55) Risk-adjusted differences in media-based momentum Factor model 1F 3F 4F 6F Intercept Intercept t-stat (0.83) (0.92) (0.87) (0.87) Panel B: Local ordering Raw returns ** (0.92) 0.30 (1.26) ** (1.96) 0.28 (1.06) ** (2.16) 0.61** (2.39) *** (3.07) 0.49** (1.97) *** (3.07) 1.05*** (3.80) Return * 0.76*** 0.25 t-stat 5-1 (1.94) (2.88) (0.70) Risk-adjusted differences in media-based momentum Factor model 1F 3F 4F 6F Intercept Intercept t-stat (0.88) (0.89) (0.86) (0.87) 27
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