Managers, Investors, and Crises: Mutual Fund Strategies in Emerging Markets Graciela Kaminsky♦ Richard Lyons Sergio Schmukler This draft: 9 August 1999 Abstract This paper addresses the emerging-market strategies of an important class of investor—mutual funds. Data on individual portfolios allow us to characterize strategies in ways not possible using more aggregate data. The results provide answers to several key questions. First, do international funds use momentum strategies, as has been documented for domestic funds? Yes, their strategies exhibit positive momentum—they systematically buy winners and sell losers. Momentum is present both at the investor level—through redemptions/inflows—and at the fund manager level. Second, do funds use momentum strategies in both crisis and noncrisis periods? Yes, but contemporaneous momentum (buying current winners and selling current losers) is stronger during crises, whereas lagged momentum (buying past winners and selling past losers) is stronger during non-crisis periods. Third, is momentum equally strong on the buy and sell sides? No, contemporaneous momentum is stronger on the sell side, whereas lagged momentum is stronger on the buy side. Fourth, is momentum equally strong across different crises? No, in Latin America, momentum was much stronger during the 1994 Mexican Crisis. Finally, do funds use contagion strategies, i.e., do they sell assets from one country when crisis hits another? Yes. JEL Classification Codes: F3, G1, G2 Keywords: mutual funds; managers; investors; trading strategies; emerging markets; momentum; feedback trading; crisis; contagion. ♦ Respective affiliations are George Washington University, UC Berkeley and NBER, and the World Bank. Correspondence to Sergio Schmukler, The World Bank, 1818 H Street NW, Washington, D.C., 20433, Tel: 202-458-4167, [email protected]. We thank the following for valuable comments: Michael Gavin, Federico Sturzenegger, and participants at the World Bank/Universidad Torcuato Di Tella conference on Integration and Contagion (June 1999) and the Cancun Meeting of the Econometric Society (August 1999). For help with data we thank the World Bank (East Asia and Pacific Region), Eric Sirri from the SEC, Konstantinos Tsatsaronis from the BIS, and Ian Wilson from Emerging Market Funds Research. For excellent research assistance we thank Jon Tong, Sergio Kurlat, Cicilia Harun, Jose Pineda, and Allen Cheung. (The efforts of Sergio Kurlat and especially Jon Tong were prodigious.) For financial support we thank the NSF and the World Bank (Latin American Regional Studies Program and Research Support Budget). I. Introduction Financial crisis in 1997 engulfed not only Asia, it also spread to countries as distant as South Africa, the Czech Republic, and Brazil. Why did crisis spread so far, and so fast? Trade links are a possible explanation.1 But in many crisis episodes, trade links— even indirect links—are negligible (e.g., the trade links between Latin America and Mexico in 1994). Financial links are another, complementary explanation. There are many ways, however, that financial links can help spread crisis. The key is to identify which links matter most. This requires a high-resolution picture of the financial activities involved. A recent literature has begun to develop this high-resolution picture. There is evidence that banks, for example, were important in spreading the 1997 Asian crisis. The transmission channel was lending: countries were exposed to the same banks (Kaminsky and Reinhart 1999). Portfolio investors have also been scrutinized, particularly institutional investors, such as hedge funds, pension funds, and mutual funds (Brown et al. 1998, Eichengreen and Mathieson 1998, Kim and Wei 1999, Frankel and Schmukler 1996, among many others). This scrutiny has led several authors to conclude that institutional investors sometimes panic, disregarding fundamentals, and spreading chaos even to countries with strong fundamentals. The literature notes that individual investors, too, can contribute to this panic by fleeing from funds—particularly mutual funds— forcing managers to sell when fundamentals do not warrant selling. This paper contributes to this growing literature on financial links by examining the strategies of an important class of investor: U.S. mutual funds. Surprisingly, systematic analysis of mutual funds’ international strategies does not yet exist.2 This lack of systematic analysis applies to funds’ behavior during crises as well. Though there is some evidence that funds help spread crisis, that evidence is indirect and highly aggregative. Frankel and Schmukler (1998b), for example, use closed-end mutual funds 1 See, for example, Eichengreen, Rose, and Wyplosz (1996), Corsetti, Pesenti, Roubini, and Tille (1998), and Glick and Rose (1998). 2 Funds’ domestic (U.S.) strategies have been analyzed extensively, however. See Grinblatt et al. (1995), Warther (1995), and Wermers (1999), among others. 1 to show that the Mexican crisis in 1994 was not transmitted to Asia directly, but indirectly, via New York, where the funds are traded. The opposite view—that mutual funds do not spread crisis—also has some support in aggregate data. For example, net redemption by mutual-fund investors during crisis periods is not large, and outflows that do occur tend to be small and short-lived (at least during Mexico’s crisis—see Marcis et al. 1995 and Rea 1996). Froot et al. (1998) present a similar picture based on flows that consolidate mutual funds with other types of international investor. In particular, they find that net inflows during the Mexican and Asian crises decreased, but there is little evidence of net outflows. Our data on individual portfolios allow us to examine funds' trading strategies at much higher resolution. The data include the quarterly holdings of 13 mutual funds from April 1993 to January 1999. All 13 of these funds are dedicated Latin America funds (and currently, only 16 dedicated Latin America funds exist, so we cover most of this market). We use these data to address two sets of questions. The first set relates to funds’ use of momentum strategies—systematically buying winning stocks and selling losing stocks (Jegadeesh and Titman 1993, Grinblatt et al. 1995). The second set of questions relates to funds’ use of contagion strategies—systematically selling assets from one country when crisis hits another. This direct link between contagion and trading strategies has not yet been addressed in the literature. We find that international funds do use momentum strategies. Their strategies exhibit positive momentum—they systematically buy winners and sell losers. This is due to momentum both at the investor level—through redemptions/inflows—and at the fund manager level. Funds also use momentum strategies in both crisis and non-crisis periods, though contemporaneous momentum (buying current winners and selling current losers) is stronger during crises, whereas lagged momentum (buying past winners and selling past losers) is stronger during non-crisis periods. We also find that contemporaneous momentum is stronger on the sell side, whereas lagged momentum is stronger on the buy side. Finally, we also find that funds use contagion strategies—they systematically sell assets from one country when a crisis hits another. 2 The paper is organized as follows. The next section outlines our approach to measuring momentum and contagion. Section III describes our data. Section IV presents our momentum and contagion results. Section V addresses whether return autocorrelation within Latin America can rationalize our section-IV results. Section VI concludes. II. Trading Strategies: Momentum and Contagion This section presents our approach to testing whether emerging-market funds employ momentum and contagion strategies. Momentum strategies—also called positive feedback strategies—involve systematic purchase of stocks that have performed well, and sale of stocks that have performed poorly (“winners” and “losers”). Contagion strategies involve the selling of assets from one country when crisis hits another. Contagion is thus a cross-country phenomenon, in contrast to momentum, which is a within-country phenomenon. (This type of cross-country analysis is not possible using recent singlecountry data sets, such as those of Kim and Wei 1999 and Choe, Kho, and Stulz 1999.) First, we review the existing finance literature on momentum strategies. Second we present our approach to testing for momentum, an approach that draws from this earlier literature. Then we turn to contagion strategies, presenting first a brief review of the "contagion" literature, followed by our approach to testing for contagion. The approach we adopt in testing for contagion is in the same spirit as our test for momentum. Finally, we introduce a regression-based approach that accommodates several aspects of trading strategy—including momentum and contagion—in a unified framework. II.1. Introduction to Momentum The literature on momentum includes two lines of work, one based in asset pricing and the other based in international finance. The asset-pricing line begins with the finding that a strategy of buying past winners and selling past losers generates significant positive returns over 3- to 12-month holding periods (Jegadeesh and Titman 1993, Asness 3 et al. 1997, Rouwenhorst 1998).3 Once established, this result inspired work on whether investors actually follow momentum strategies. Grinblatt et al. (1995), for example, examine the domestic strategies of US mutual funds and find that they do systematically buy past winners. They do not systematically sell past losers, however. They also find that funds using momentum strategies realize significantly better performance. Evaluation of performance is in fact a central theme for all the papers in this asset-pricing line of the literature. The second line of work on momentum is based in international finance. Its organizing theme is the link between returns and international capital flows. At the center of this literature is the positive contemporaneous correlation between inflows and returns. Early work establishes this correlation using data aggregated over both time and types of market participant (Tesar and Werner 1994, Bohn and Tesar 1996). Later work relaxes the aggregation over time to address whether the contemporaneous correlation in quarterly data is truly contemporaneous (Froot et al 1998, Choe et al 1999, Kim and Wei 1999). Higher frequency data can distinguish three possibilities. Returns may precede flows, indicating positive feedback trading (which is not necessarily irrational, per the asset-pricing literature noted above). Returns and flows may be truly contemporaneous, indicating that order flow itself may be driving prices.4 And returns may lag flows, indicating flows’ ability to predict returns. Using high-frequency data aggregated across types of market participant, Froot et al. (1998) find evidence of all three, with the first— positive feedback trading—being the most important for explaining quarterly correlation. 3 The return “continuations” that are implied by this result are not inconsistent with the return “reversals” documented elsewhere in the literature. Horizon length is the key to understanding this: continuations appear at mid-range horizons, 3 to 12 months. Return reversals, in contrast, appear at short horizons (up to 1 month, see Jegadeesh 1990 and Lehmann 1990) and at long horizons (3 to 5 years, see De Bondt and Thaler 1985). Reversals call for “contrarian” (or negative feedback) trading strategies. Parenthetically, all these time-series anomalies are distinct from the cross-sectional anomalies that have received much attention in the asset-pricing literature recently (e.g., size and book-to-market effects). 4 The literature on microstructure finance provides three channels for truly contemporaneous price impact. The first is information—if the buyer has superior information about a security’s payoffs, then the purchase acts as a signal of that information, thereby increasing price. The second is incomplete risk-sharing at the marketmaker level—the buyer’s purchase temporarily disturbs the marketmaker’s position (“inventory”), which requires the buyer to pay compensation in the form of a higher price. The third is imperfect substitutability—the buyer’s purchase may represent a large enough marketwide portfolio shift that permanently higher price is required to clear the market (even if it is common knowledge the buyer does not have superior information about the security’s payoffs). 4 Choe et al. (1999) and Kim and Wei (1999) use high-frequency data from Korea to examine positive feedback trading around the 1997 currency crisis. Choe et al. find that foreign investors as a group engage in positive feedback trading before the crisis, but during the crisis feedback trading mostly disappears. Kim and Wei examine foreign institutional investors separately and find that they engage in positive feedback trading at all times—before, during, and after the crisis. Our analysis is related to, and borrows from, both of these lines of the literature. Like the work in international finance, we are more concerned about international flows and crisis transmission than portfolio performance. Like the work in asset pricing, however, we maintain a direct link to investment strategy and its measurement. In particular, we focus on a specific class of international investor—mutual funds. A benefit of focusing on a specific investor class is that we can characterize the evolution of actual portfolios, and how that evolution relates to returns in various countries. Another benefit is that our data allow us to analyze jointly the behavior of fund managers and their underlying investors. On the cost side, focusing on a specific investor class means that we lose resolution in terms of data frequency: our data are quarterly. II.2. Measuring Momentum We use a momentum measure akin to that used to analyze mutual funds’ domestic strategies (e.g., Grinblatt et al. 1995). The measure captures the relation between security purchases/sales and returns over a benchmark period. It is based on individual observations of the variable Q j ,t . Q j ,t . 1 R j ,t . k , M j ,t > Q j , t (1) where Qj,t is the number of shares of stock j held at time t in a given portfolio, Q j, t is (Qj,t+Qj,t-1)/2, and Rj,t-k is the return on security j from t-k-1 to t-k. When k=0, this measure captures the contemporaneous relation between trades and returns—referred to as lag-zero momentum (L0M). When k=1, the measure captures the lagged response of 5 trades to returns (feedback trading), and is referred to as lag-one momentum (L1M). Under the null hypothesis of no momentum, the mean of the observations Mj,t is zero. This measure of momentum has two important advantages. First, it is not contaminated by “passive price momentum.” Passive price momentum arises in momentum measures—like those of Grinblatt et al.—where the term in brackets is a change in portfolio weight rather than a percentage quantity adjustment. When using a portfolio weight, a price increase in one stock (relative to prices of other holdings) produces a positive relation between weights and returns that has nothing to do with investment strategy. (A similar positive relation arises for losing stocks.) The second advantage of our measure over one based on portfolio weights is that our measure is not contaminated by another passive effect— “passive quantity momentum.” When using portfolio weights, a large trade in one stock can have substantial effects on the weights of holdings that involve no transactions. Our main concern here—as in the rest of the international-finance-based literature on momentum—is the relation between returns and transaction flows.5 Accordingly, we want our realizations of Mj,t to reflect actual transactions—the buying and selling of winners and losers. Statistical Inference The link between quantity changes and statistical inference warrants further attention. In particular, percentage quantity changes—the term in brackets in equation (1)—may have fund-specific volatilities. Two factors could account for differing volatilities at the fund level. First, there is considerable cross-sectional difference in fund size, and size can affect trading strategies. Second, trading strategies can differ substantially across funds in ways that are distinct from size, such as turnover ratios, redemption penalties, and other factors. Below, we test for heteroskedasticity at the fund level, and after finding it, we correct for it.6 5 This contrasts with the asset-pricing-based literature on momentum, whose main concern is portfolio performance, in which case it is necessary to consider the return impact of all portfolio positions. 6 Because our heteroskedasticity correction affects only standard errors, each observation of Mj,t gets equal weight in the calculation of a momentum measure’s mean. Our correction for heteroskedasticity therefore does not alter the fact that funds with more observations have more effective weight. We are currently exploring whether funds differ appreciably in the intensity of their momentum trading. As for 6 Whole-Fund Momentum vs Manager-Only Momentum An important issue in the context of mutual-fund strategies is the effect of net redemptions. Many funds experience substantial redemptions during crisis periods. If, on average, funds sell shares to meet redemptions when Rj,t-k is negative, then our momentum measures will be positive. This result is not spurious. But it does reflect strategies of underlying investors, rather than strategies of the fund manager. To supplement our results, we control for this redemption effect by measuring the quantity transacted in each stock relative to a benchmark. This benchmark reflects the quantity that would be transacted if a fund's net flows from investors produced proportional adjustment in all stocks. Specifically, to isolate the manager's contribution to momentum we calculate individual observations of: Q j ,t . Q j ,t . 1 M ≤j ,t > Q j ,t )Q . j j ,t j . Q j ,t . 1 ∗Pj ,t R j ,t . k , Q j ,t Pj ,t (2) where Pj,t is the price of security j at time t, and Pj, t is (Pj,t+Pj,t-1)/2. The second term in brackets is a term specific to each fund that captures the percent increase in portfolio size due to net inflows. The overall momentum measure in equation (2) therefore reflects the degree to which a manager buys winners and sells losers beyond any effect from inflows/outflows. Under the null hypothesis of no momentum at the manager level, the mean of the observations M ≤j ,t is zero. Henceforth, we refer to momentum statistics calculated from equation (1) as whole-fund momentum statistics, and momentum statistics calculated from equation (2) as manager-only momentum statistics. Conditional Momentum heteroskedasticity in the time-series dimension, our sample partition into crisis and non-crisis periods accounts for the most obvious correction. 7 In addition to the overall momentum measures L0M and L1M, we are also interested in two conditional momentum measures. The first conditional measure involves splitting our sample into sub-periods: crisis and non-crisis. The crisis portion of our full sample (April 1993 to January 1999) includes four sub-periods: December 1994 to June 1995 (Mexico), July 1997 to March 1998 (Asia), August 1998 to October 1998 (Russia), and January 1999 (Brazil). For our second conditional momentum measure, we split our sample into buys and sells (as in Grinblatt et al 1995). Overall measures like L0M and L1M make no distinction between buying and selling. But buying past winners and selling past losers need not be symmetric. In fact, though Grinblatt et al. find positive L0M and L1M overall, this result comes primarily from funds buying past winners—funds did not systematically sell past losers. This distinction has particular significance for our analysis given the possibility of one-sided effects from crisis. To implement this, we calculate a Buy L0M statistic using those observations with an increase in shares held, and a Sell L0M statistic from those observations with a decrease in shares held. That is: 0 , Q j ,t . Q j ,t . 1 ~ R j ,t . k . R j Buy L0M > Mean Q j ,t ∗ Q j ,t . Q j ,t . 1 ? Q j ,t Q j ,t . Q j ,t . 1 ~ R j ,t . k . R j Sell L0M > Mean Q j ,t ∗ Q j ,t . Q j ,t . 1 = 0 . Q j ,t ) ) (3) ~ Here, we subtract mean returns R j from individual stock returns R j ,t . k so that these measures asymptotically approach zero under the null hypothesis that momentum investing is not present. (We use the local-market index return as a proxy for these mean returns.) II.3. Introduction to Contagion 8 The financial crises of the 1990s in Europe, Mexico, Asia, Russia, and Brazil spread rapidly across countries, including countries with diverse market fundamentals.7 These events spawned a literature to make sense of the seeming "contagion." From the outset, however, it was clear that authors were using that term quite differently. Presently, the literature on contagion identifies three types: fundamental-spillover contagion, common-cause contagion, and non-fundamental contagion. Fundamental-spillover contagion is the rapid transmission of an inside disturbance to multiple, economically interdependent countries. Common-cause contagion is the rapid transmission of an outside disturbance to multiple countries (e.g., a fall in commodity prices, or learning about common fundamental factors). Fundamental disturbances underlie both of these first two types. The third type—non-fundamental contagion—is the rapid transmission of a disturbance to multiple countries beyond what is warranted by fundamentals (or after controlling for fundamentals). This third type is sometimes referred to as pure or true contagion. Many authors focus on the two types of contagion driven by fundamentals. For example, Eichengreen, Rose, and Wyplosz (1996) examine whether contagion is more prevalent among countries with either important trade links or similar market fundamentals. In the first case, devaluation in one country reduces competitiveness in partner-countries, prompting devaluations to restore competitiveness (fundamentalspillover contagion). In the second case, devaluation acts like a wake-up call: investors seeing one country collapsing learn about the fragility of “similar” countries, and speculate against those countries' currencies (common-cause contagion). The Eichengreen et al. evidence points in the direction of trade links rather than similar fundamentals. Corsetti et al. (1998) also claim that trade links drive the strong spillovers during the Asian crisis. Kaminsky and Reinhart (1999) focus instead on financial-sector links. In 7 Witness Indonesia in 1997. Nobody can disagree that there were signs of weakness in the Indonesian economy at the outset of the Asian crisis: the banking sector was fragile, the economy was not growing, and there was a current account deficit. Still, these problems were not insurmountable. Kaminsky (1998), for example, estimates that the probabilities of crisis in Indonesia by June 1997 amounted to only 20 percent. This probability stands in sharp contrast to the likelihood of a currency crisis in Thailand, which skyrocketed to 100 percent at the beginning of 1997. Still, the Indonesian rupiah collapsed only weeks after the floating of the Thai baht. 9 particular, they examine the role of common bank lenders and the effect of cross-market hedging (a type of common-cause contagion). They find that common lenders were central to the spreading of the Asian crisis (as they were to the spreading of the Debt Crisis of 1982). The non-fundamental category of contagion has attracted more attention than the two fundamentals-driven categories. On the theoretical side of this portion of the literature, the focus is on models of rational herding. For example, in the model of Calvo and Mendoza (1998), the costs of gathering country-specific information induce rational investors to follow the herd. In the model of Calvo (1999), uninformed investors replicate selling by liquidity-squeezed informed investors because the uninformed mistakenly (but rationally) believe these sales are signaling worsening fundamentals. Kodres and Pritsker (1999) focus on investors who engage in cross-market hedging of macroeconomic risks. In that paper, international market comovement can occur in the absence of any relevant information, and even in the absence of direct common factors across countries. For example, a negative shock to one country can lead informed investors to sell that country’s assets and buy assets of another country, increasing their exposure to the idiosyncratic factor of the second country. Investors then hedge this new position by selling the assets of a third country, completing the chain of contagion from the first country to the third. The literature on non-fundamental contagion also has an empirical branch. Kaminsky and Schmukler (1999) find that spillover effects unrelated to market fundamentals are quite common, and spread quickly across countries within a region. Valdes (1998) examines the degree to which comovement of Brady-bond prices is unexplained by fundamentals. Interestingly, contagion in his paper is symmetric, applying both on the downside during crises and on the upside during periods of rapid capital inflow. To examine whether crises are spread by a particular investor group, it is necessary to have information on quantities—in particular, transaction quantities. Several recent papers have undertaken this task. For example, Choe, Kho, and Stulz (1998) use daily data on equity transactions in Korea to examine whether foreign investors might destabilize prices. They find evidence of herding by foreign investors before Korea’s 10 economic crisis in late 1997, but these effects disappear during the peak of the crisis, and there is no evidence of destabilization. Since their data only include transactions on the Korean Stock Exchange, these authors cannot examine the transmission of crisis across countries. II.4. Measuring Contagion Our approach to testing for contagion is different from the literature reviewed above. Our data on individual portfolios allow us to address contagion in a new way— from the trading-strategy perspective. We will use the term contagion strategy to mean the systematic selling (buying) of stocks in one country when the stock market falls (rises) in another.8 To do this we introduce a new measure—a contagion measure. Our contagion measure is based on the same methodology outlined above for measuring momentum. We calculate individual observations of the variable: Q j ,t . Q j ,t . 1 Rc , t . C j ,t > Q j ,t (4) The difference here it that instead of testing for a relation between quantity changes and own-stock returns, our contagion measure tests for a relation between quantity changes and foreign-country returns. In effect, we are testing for what might be called "crosscountry momentum." Here, Rc,t is the return on the foreign-country index c from t-1 to t, with c ∉{Brazil, Mexico, U.S., Asia, Russia}. Naturally, when calculating the contagion measure for a Brazilian stock j, we do not include the Brazilian index return in Rc,t 8 Notice that this definition does not take account of the fundamental-versus-non-fundamental distinction introduced above. The next section introduces our regression-based approach that will allow us to test for contagion at the same time we control for various fundamental factors. 11 (similarly for Mexico). Under the null hypothesis of no contagion, the mean of the observations Cj,t is zero. Our contagion measure in equation (4) allows us to address many of the issues we address with our momentum measure. For example, we can separate contagion at the investor and manager levels by using the correction in equation (2). Similarly, we can examine crisis versus non-crisis sub-samples, and partition the crisis sub-sample further to isolate a particular crisis. II.5. An Integrative, Regression-Based Approach The bivariate relations examined via our equations (1) through (4) draw from, and therefore allow direct comparison with, past empirical work on momentum. But these bivariate relations provide no means of testing joint significance. Is lag-one momentum still significant after controlling for contemporaneous price effects via lag-zero momentum? Is cross-country contagion still significant after controlling for own-price effects via lag-zero and lag-one momentum? Are these relations robust to the inclusion of local-market index returns? The US-market index return? To address these questions we need a more integrative model. A regression-based approach provides a natural framework. All of the questions of the previous paragraph can be addressed by estimating the following model: Q j ,t . Q j ,t . 1 > β , χ 1 R j ,t , χ 2 R j ,t . 1 , χ 3 R LA,t , χ 4 R LM ,t , χ 5 RUS ,t , φ j ,t . Q j ,t (5) Here, Rj,t and Rj,t-1 are own-stock returns, as before. These variables capture lag-zero and lag-one momentum, respectively. The variable RLA,t is the contemporaneous return on other countries within Latin American (i.e., excluding the local-market return). This variable captures the cross-country contagion of the previous section. The fourth variable, RLM,t, is the local-market index return. This variable does not enter the analysis introduced in the previous sections, and is intended here as a control for country-level systematic factors. The last variable, RUS,t, is the US-market index return. This variable 12 also does not enter in the previous sections, and is intended here as a control for systematic US factors, which have well established effects on emerging equity markets. 13 III. Data Our data on mutual-fund holdings come from two sources. The first source is the US Securities and Exchange Commission (SEC). Mutual funds are required to report holdings to the SEC twice a year. The second source is Morningstar. Morningstar conducts surveys of mutual fund holdings at a higher frequency: quarterly surveys are the norm for most funds. For our purposes, quarterly data are available from Morningstar for about 50% of the funds we examine. Our sample includes the holdings of 13 Latin America equity funds (open-end) from April 1993 to January 1999 (24 quarters). Those funds are (1) Fidelity Latin America, (2) Morgan Stanley Dean Witter Institutional Latin America, (3) Van Kampen Latin America (formerly Morgan Stanley), (4) BT Investment Latin America Equity, (5) TCW Galileo Latin America Equity, (6) TCW/Dean Witter Latin America Growth, (7) Excelsior Latin America, (8) Govett Latin America, (9) Ivy South America, (10) Scudder Latin America, (11) T. Rowe Price Latin America, (12) Merrill Lynch Latin America, and (13) Templeton Latin America. Not all of these funds existed from the beginning of our sample; on average we have about 10 quarters of data (out of a possible 24) per fund. Our third source of data is Bloomberg. Bloomberg provides monthly price series for all equities held by the 13 funds, including ADRs. (The need for monthly price data arises in our analysis of lag-one momentum.) These price series are corrected for splits and dividends. All return data are expressed in percent. 14 IV. Results: Momentum and Contagion We present our results in four parts. First, we present some aggregate evidence from our sample regarding the trades of mutual funds in times of crisis. Next we present results on within-country momentum. We follow these with results on cross-country contagion. Finally, we present regression-based results that integrate momentum and contagion with other determinants of trading strategy. IV.1. Aggregate Evidence Mutual Funds in Crisis Episodes Our sample shows that during the fourth quarter of 1997—the peak of the Asian crisis—Latin American funds suffered large outflows (Figure 1).9 The reversal from inflows to outflows during the Asian and Russian crises is more severe than that during the Mexican crisis in December 1994. In the Mexican crisis, mutual funds tended to pull out of Mexico, Argentina, and Brazil, all of which are relatively liquid; funds tended not to pull out from more illiquid markets, such as Colombia. Moreover, the Mexico-induced pullout was temporary—by the third quarter of 1995 mutual fund inflows to Latin America had resumed (consistent with the findings of Marcis et al. 1995 and Rea 1996). Relative to the Mexican crisis, the Asian and Russian crises of 1997 and 1998 were more broad-based and persistent. In those crises the retreat from Latin America was more indiscriminate, with heavy sales reaching even the most illiquid markets. On average, net sales in 1998 were about 32 percent. Note that this result is different from that of Froot et al. (1998), who find little evidence of net outflows during the Asian crisis. A possible explanation is that the aggregated data used by Froot et al. include institution types, such as hedge funds, that counteract the clear net selling by mutual funds. IV.2. Momentum Results In our full sample, we find strong evidence of lag-zero momentum, both at the 9 Net selling in Figure 1 is calculated as the change in number of shares—as a percentage of average shares held during the quarter—valued at the price at the beginning of each quarter. The average number of shares held during the quarter is the mean of the beginning- and end-of-quarter holdings. 15 whole-fund level and at the manager-only level (Table 1).10 Moreover, our point estimate for whole-fund momentum is larger than that for manager-only momentum, which is consistent with underlying investors following positive-momentum strategies. Significant lag-one momentum comes through only in the non-crisis portion of our sample. Interestingly, it is the contemporaneous momentum that comes through especially strongly during crises. Tables 2 and 3 show that Sell L0M is positive and significant, while Buy L0M is insignificant. This asymmetry holds for the full sample as well as for each of the two subsamples. When we move from L0M to L1M the asymmetry reverses—Buy L1M tends to be positive and significant, whereas Sell L1M is insignificant at the five-percent level. Grinblatt et al. (1995) also find an asymmetric result, though theirs is the same for L0M and L1M—for both measures their Buy side is positive and significant but their Sell side is insignificant. Table 4 presents results for our momentum measures within separate crisis-period sub-samples. The interesting question here is whether is momentum equally strong across different crises. We find that the answer is no. Within our Latin American sample, we find that positive momentum was strongest during the 1994 Mexican Crisis. IV.3. Contagion Results Tables 5 and 6 present our contagion results. In general, we find more significance at the whole-fund level than at the manager-only level, an indication of contagion strategies on the part of underlying fund investors. Of the five different return benchmarks, Russia and Mexico appear to be the strongest—funds are systematically buying equities in other countries when these countries’ returns are high, and vice versa. Notice too the negative contemporaneous relation with U.S. equity returns. IV.4. Regression-Based Results 10 For robustness we estimate each cell based only on observations within three standard deviations of the mean. Using all observations increases both point estimates and t-statistics. 16 Recall that our regression-based approach provides a mean of testing the joint significance of the momentum and contagion strategies we document in tables 1 through 6. Tables 7 through 10 present OLS estimation of the model introduced in Section II: Q j ,t . Q j ,t . 1 > β , χ 1 R j ,t , χ 2 R j ,t . 1 , χ 3 R LA,t , χ 4 R LM ,t , χ 5 RUS ,t , φ j ,t , Q j ,t (5) where Rj,t and Rj,t-1 are own-stock returns, RLA,t is the contemporaneous return on other countries within Latin American, RLM,t is the local-market index return, and RUS,t is the US-market index return. At the whole-fund level, we find that the full sample generates positive and significant coefficients on all of the first three variables. Put differently, L0M, L1M, and L0C are all robust to moving from bivariate measures to multivariate measures, and including controls for the overall local and US markets. Interestingly, the local-market control is never significant. The US-market control, in contrast, is quite significant, and negative. This squares with past empirical work that shows that US investors tend to chase emerging markets when returns at home are low. When the sample is split into crisis and non-crisis sub-periods, we find that the contagion strategy—L0C—is largely a crisis-period phenomenon. V. Rationalizing Momentum Trading: Return Autocorrelation In an environment with positively autocorrelated returns, momentum trading is a natural response. Section IV presented evidence of positive L0M and, at least during noncrisis periods, positive L1M. This raises the question of whether returns within Latin America exhibit positive autocorrelation. One common way to test for return autocorrelation is using variance ratios. If returns follow a random walk, then return variance is a linear function of horizon length. That is, the variance of returns over k periods is k times the variance of returns over one-period. If instead returns are positively autocorrelated, the variance of k-period returns is larger than the sum of one-period 17 returns—variances grow faster than linearly. Thus, variance ratios larger than one are consistent with rational positive momentum trading. Alternatively, when returns are negatively autocorrelated, the variance of k-period returns is smaller than k times the variance of one-period returns. Variance ratios smaller than one would call for negative momentum (or contrarian) trading. Table 11 reports the values of the variance-ratio test statistic at different horizons, together with p-values, for seven Latin American countries. For comparison we also provide results for the U.S. stock market.11 Interestingly, stock returns in several Latin American markets are highly persistent (variance-ratio statistics larger than one), even at three and four-year horizons. In sharp contrast, U.S. returns show no persistence at any horizon. Though certainly not proof that the positive momentum trading we find in Latin America is rational—after all, this persistence in returns is at the index level—these results do point to the possibility of rationalizing our momentum results, at least for some countries (e.g., Mexico, Chile, Colombia, and Venezuela). VI. Conclusion Discriminating among the various ways that financial markets can spread crisis requires a sharper picture of actual activity in international financial markets. Who is doing the trading? What are their trading strategies? These are questions we address in this paper. In particular, we examine the portfolios of an important class of international investor—US mutual funds. Many observers have claimed that fund strategies help spread crisis. For example, some claim that collapse in Thailand induced funds to sell in other Asian countries to meet redemptions, or to rebalance holdings across countries. This type of spillover was discussed widely following the 1994 crisis in Mexico. We address two sets of questions. The first relates to whether and when these funds use momentum strategies—systematically buying winning stocks and selling losing stocks. We find that international funds do use momentum strategies. Their strategies exhibit positive momentum, due to momentum both at the investor level—through 11 See Campbell, Lo, and MacKinlay (1997) for the asymptotic distribution of the variance-ratio test. 18 redemptions/inflows—and at the fund manager level. Funds also use momentum strategies in both crisis and non-crisis periods, though contemporaneous momentum (buying current winners and selling current losers) is stronger during crises, whereas lagged momentum (buying past winners and selling past losers) is stronger during noncrisis periods. We also find that contemporaneous momentum is stronger on the sell side, whereas lagged momentum is stronger on the buy side. The second set of questions we address relates to whether funds use contagion strategies—selling assets from one country when crisis hits another. We find that funds do use contagion strategies. This result is robust to controlling for own-stock returns, the local-market factor, and the US-market factor. Strictly speaking, these controls are not sufficient to conclude that this contagion is non-fundamental (or pure) contagion. But these controls are quite sound on a theoretical basis. In our judgment, then, the inference that the contagion we find is non-fundamental is on firmer footing than the inference that the contagion is driven by fundamentals. In any event, we have uncovered several stylized facts that are useful for evaluating hypotheses about the emerging-market crises and their transmission. Beyond these stylized facts, this paper also includes several methodological innovations. For example, the distinction between manager-only and whole-fund momentum is new to the literature, as is our method for distinguishing the two. Our method of measuring contagion via transaction quantities is also new. Finally, our regression-based approach to integrating momentum and contagion measures with systematic return factors provides a more robust picture of the trading strategies we set out to understand. 19 Figure 1: Mutual Funds' Net Buying/Selling of Stocks in Latin America Argentina Mexico 60.00 40.00 40.00 20.00 20.00 0.00 31-20.00Jan -93 -40.00 15Jun -94 28Oct -95 11Ma r97 24Jul -98 6De c99 0.00 31-20.00Jan -93 -40.00 15Jun -94 28Oct -95 11Ma r97 24Jul -98 6De c99 11Ma r97 24Jul -98 6De c99 11Ma r97 24Jul -98 6De c99 11Ma r97 24Jul -98 6De c99 -60.00 -60.00 -80.00 -80.00 -100.00 -100.00 -120.00 Brazil Peru 80.00 60.00 60.00 40.00 40.00 20.00 0.00 31Jan -20.00-93 20.00 15Jun -94 28Oct -95 11Ma r97 24Jul -98 6De c99 -40.00 0.00 31-20.00Jan -93 -40.00 15Jun -94 28Oct -95 -60.00 -60.00 -80.00 -80.00 -100.00 Chile Venezuela 80.00 40.00 60.00 20.00 40.00 0.00 31Jan -20.00 -93 20.00 15Jun -94 28Oct -95 -40.00 0.00 31Jan -20.00-93 15Jun -94 28Oct -95 11Ma r97 24Jul -98 6De c99 -40.00 -60.00 -80.00 -100.00 -60.00 -120.00 Colombia Latin America 60.00 30.00 20.00 40.00 10.00 20.00 0.00 0.00 -20.00 31 Ja 15 Ju 28 O t 11 M ar 24 Ju 6D ec 31Jan -10.00-93 15Jun -94 28Oct -95 -20.00 -40.00 -30.00 -60.00 -40.00 Source: our data. Net Buying/Selling is equal to the value-weighted percentage change in quarterly holdings of all funds in each country, where the value weighting uses the beginning-of-period share price. All figures in percent. Table 1 Lag-0 and Lag-1 Momentum All Sample Non-Crisis Crisis L0M T-statistic Observations 2.35*** 5.64 4,925 0.97*** 3.15 3,289 5.13*** 4.55 1,636 L1M T-statistic Observations 0.20 1.56 4,853 0.25** 2.42 3,215 0.11 0.40 1,638 L0M T-statistic Observations 0.87** 2.88 4,931 0.30 1.32 3,289 2.01** 2.68 1,642 L1M T-statistic Observations 0.16 1.613 4,850 0.23** 2.20 3,211 0.11 0.61 1,639 Whole Fund Manager Only L0M is the point estimate for the mean lag-0 momentum measure. L1M is the point estimate for the mean lag-1 momentum measure (measured from return over the previous month). Whole-Fund momentum tests whether the mean of (ΕQjt/Qjt)Rjt-k is zero. ManagerOnly momentum controls for investor redemption effects as in equation (2). All t-statistics are corrected for heteroskedasticity across funds. Full sample: quarterly data from April 1993 to January 1999. The crisis portion of the sample includes December 1994-June 1995, July 1997-March 1998, August 1998-October 1998, and January 1999. The non-crisis portion is the rest of the sample. The total of roughly 4400 observations is13 funds times an average of about 35 stocks per fund, times an average of about 10 quarters of available data per fund. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level Table 2 Buy and Sell Momentum: Whole Fund Statistic All Sample Non-Crisis Crisis Buy L0M T-statistic Observations -0.24 -0.91 2,234 -0.46 -1.45 1,645 0.36 0.75 589 Sell L0M T-statistic Observations 2.74*** 6.89 2,585 2.10*** 4.35 1,555 3.70*** 3.77 1,030 Buy L1M T-statistic Observations 0.56** 2.31 2,211 0.35 1.41 1,623 1.13* 1.85 588 Sell L1M T-statistic Observations -0.25 -0.37 2,541 -0.02 -0.05 1,521 -0.58 -0.42 1,020 These results are "Whole Fund" in that they include no control for investor redemption effects as in equation (2). Buy L0M is the point estimate for the mean of lag-0 momentum measured from purchases only. Sell L0M is the point estimate for the mean of lag-0 momentum measured from sales only. L1M denotes lag-1 momentum (measured from return over the previous month). T-statistics for the test that the mean equals zero are corrected for heteroskedasticity across funds. Full sample: April 1993 to January 1999. The crisis portion of the sample includes December 1994-June 1995, July 1997-March 1998, August 1998-October 1998, and January 1999. The non-crisis portion is the rest of the sample. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level Table 3 Buy and Sell Momentum: Manager Only Statistic All Sample Non-Crisis Crisis Buy L0M T-statistic Observations -0.38* -1.78 2,415 -0.49 -1.71 1,559 -0.17 -0.48 856 Sell L0M T-statistic Observations 2.78*** 5.58 2,508 1.97*** 4.27 1,708 4.51*** 3.80 800 Buy L1M T-statistic Observations 0.54* 1.92. 2,387 0.40* 1.573 1,537 0.80 1.08 850 Sell L1M T-statistic Observations -0.19 -0.41 2,461 0.03 0.075 1,666 -0.65 -0.54 795 These results are "Manger Only" in that they control for investor redemption effects as in equation (2). Buy L0M is the point estimate for the mean of lag-0 momentum measured from purchases only. Sell L0M is the point estimate for the mean of lag-0 momentum measured from sales only. L1M denotes lag-1 momentum (measured from return over the previous month). T-statistics for the test that the mean equals zero are corrected for heteroskedasticity across funds. Full sample: April 1993 to January 1999. The crisis portion of the sample includes December 1994-June 1995, July 1997-March 1998, August 1998-October 1998, and January 1999. The non-crisis portion is the rest of the sample. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level Table 4 Momentum Results by Crisis Mexican Crisis Asian Crisis Russian Crisis Whole Fund L0M T-statistic Observations 12.11*** 3.45 268 1.69*** 2.97 920 8.26*** 4.24 417 L1M T-statistic Observations 1.00* 1.82 297 -0.25 -0.69 898 0.22 0.57 413 L0M T-statistic Observations 6.56** 2.16 279 0.99** 2.32 920 1.04 1.15 412 L1M T-statistic Observations 1.00*** 2.71 297 -0.17 -0.75 898 -0.04 -0.21 414 Manager Only L0M is the point estimate for the mean lag-0 momentum measure. L1M is the point estimate for the mean lag-1 momentum measure (measured from return over the previous month). Whole-Fund momentum tests whether the mean of (ΕQjt/Qjt)Rjt-k is zero. ManagerOnly momentum controls for investor redemption effects as in equation (2). All t-statistics are corrected for heteroskedasticity across funds. The Mexican Crisis portion of the sample includes December 1994-June 1995. The Asian Crisis portion of the sample includes July 1997-March 1998. The Russian Crisis portion of the sample includes August 1998-October 1998. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level Table 5 Contagion Measure Results Country/Regional Index Brazil Statistic Whole Fund L0C T-statistic Manager Only L0C T-statistic All Sample NonCrisis Mexico Crisis All Sample NonCrisis U.S. Crisis All Sample NonCrisis Asia Crisis All Sample NonCrisis Russia Crisis All Sample NonCrisis Crisis 1.75*** 3.77 0.60 1.11 4.01*** 3.09 1.07** 2.55 0.42 1.00 2.37** 2.25 -0.58*** -2.81 -0.25 -1.07 -1.26*** -3.08 0.72** 2.23 0.38*** 2.69 1.38 1.38 3.91*** 3.06 2.49 1.39 6.18*** 2.73 0.10 0.28 -0.56 -0.95 1.39*** 3.15 0.19 0.80 -0.11 -0.48 0.77 1.36 -0.50*** -3.61 -0.50*** -2.89 -0.51*** -2.84 0.53** 2.20 0.11 0.90 1.36** 2.15 -0.59 -0.66 -1.25 -1.04 0.46 0.29 L0C denotes lag-0 contagion. Whole-Fund contagion tests whether the mean of (ΕQjt/Qjt)Rct is zero, where Rct is the return on country index c from t-1 to t, with c∉{Brazil, Mexico, U.S., Asia, Russia}. Manager-Only contagion controls for investor redemption effects as in equation (2). All t-statistics are corrected for heteroskedasticity across funds. Full sample: April 1993 to January 1999. The crisis portion of the sample includes December 1994-June 1995, July 1997-March 1998, August 1998-October 1998, and January 1999. The non-crisis portion is the rest of the sample. Asia is the IFC Asia Stock Market Index. Note that Brazilian equities are excluded from the calculation of L0C for Brazil (similarly for Mexico). Table 6 Contagion Measure Results by Crisis Country/Regional Index Brazil Statistic Whole-Fund L0C T-statistic Manager Only L0C T-statistic Mexican Crisis Asian Crisis Mexico Russian Crisis Mexican Crisis Asian Crisis U.S. Russian Crisis Mexican Crisis Asian Crisis Asia Russian Crisis Mexican Crisis Asian Crisis Russia Russian Crisis Mexican Crisis Asian Crisis Russian Crisis 11.25** 2.25 0.44 0.54 7.41*** 5.04 10.58** * 3.41 -0.64 -1.01 3.36** 2.53 -3.59*** -3.71 -0.90** -2.23 -0.22 -0.33 4.84*** 3.27 0.27 0.40 1.70 0.88 N/A 0.06 0.05 22.03*** 3.55 4.56*** 4.44 0.40 0.82 1.59 1.33 4.87*** 5.69 -0.47 -1.02 0.61 1.11 -1.73*** -3.91 -0.42 -1.48 0.10 0.86 2.26*** 3.37 1.66 1.35 0.45 0.63 N/A -1.70** -2.42 6.03 1.18 L0C denotes lag-0 contagion. Whole-Fund contagion tests whether the mean of (ΕQjt/Qjt)Rct is zero, where Rct is the return on country index c from t-1 to t, with c∉{Brazil, Mexico, U.S., Asia, Russia}. Manager-Only contagion controls for investor redemption effects as in equation (2). All t-statistics are corrected for heteroskedasticity across funds. The Mexican Crisis portion of the sample includes December 1994-June 1995. The Asian Crisis portion of the sample includes July 1997-March 1998. The Russian Crisis portion of the sample includes August 1998-October 1998. Asia is the IFC Asia Stock Market Index. Note that Brazilian equities are excluded from the calculation of L0C for Brazil (similarly for Mexico). Table 7 Regression Results: Whole Fund Q j ,t . Q j ,t . 1 > β , χ 1 R j ,t , χ 2 R j ,t . 1 , χ 3 R LA,t , χ 4 R LM ,t , χ 5 RUS ,t , φ j ,t Q j , t Independent Variables L0M (χ1) All Sample Non-Crisis Crisis 0.0021*** 5.34 0.0029*** 4.04 0.0015*** 2.76 0.0029*** 3.15 0.0042*** 5.501 0.0002 0.138 0.0035*** 3.20 0.0021 1.49 0.0041*** 2.62 0 -0.01 -0.0003 -0.32 0.0006 0.44 T-statistic -0.0065*** -6.24 -0.0041* -1.95 -0.0096*** -4.54 Constant T-statistic -0.0048 -0.24 -0.0086 -0.30 0.0026 0.05 4,842 0.05 3,223 0.03 1,619 0.06 T-statistic L1M (χ2) T-statistic L0C (χ3) T-statistic Local Index Return (χ4) T-statistic US Return (χ5) Observations Adjusted R-squared These results are "Whole Fund" in that they include no control for investor redemption effects as in equation (2). T-statistics are corrected for heteroskedasticity across funds. Full sample: April 1993 to January 1999. The crisis portion of the sample includes December 1994-June 1995, July 1997-March 1998, August 1998-October 1998, and January 1999. The non-crisis portion is the rest of the sample. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level 28 Table 8 Regression Results by Crisis: Whole Fund Q j ,t . Q j ,t . 1 > β , χ 1 R j ,t , χ 2 R j ,t . 1 , χ 3 R LA,t , χ 4 R LM ,t , χ 5 RUS ,t , φ j ,t Q j , t Independent Variables L0M (χ1) Mexican Crisis Asian Crisis Russian Crisis 0.0030*** 6.63 0.0016 1.22 0.0005 0.80 0.0022 0.67 0.0015 0.55 -0.0027* -1.96 0.0112 1.74 0.002*** 3.62 -0.0123*** -3.88 -0.0014 0.42 -0.0001 -0.03 0.0026 1.68 T-statistic -0.0050 -0.46 -0.0160*** -4.02 0.0104 1.69 Constant T-statistic 0.2972 0.86 0.0895*** 3.28 -0.5570*** -4.64 Observations Adjusted R-squared 297 0.13 885 0.05 406 0.05 T-statistic L1M (χ2) T-statistic L0C (χ3) T-statistic Local Index Return (χ4) T-statistic US Return (χ5) These results are "Whole Fund" in that they include no control for investor redemption effects as in equation (2). T-statistics are corrected for heteroskedasticity across funds. The Mexican Crisis portion of the sample includes December 1994-June 1995. The Asian Crisis portion of the sample includes July 1997-March 1998. The Russian Crisis portion of the sample includes August 1998October 1998. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level 29 Table 9 Regression Results: Manger Only Q j ,t . Q j ,t . 1 . Q j ,t )Q j Independent Variables L0M (χ1) j ,t j . Q j ,t . 1 ∗Pj ,t > β , χ 1 R j ,t , χ 2 R j ,t . 1 , χ 3 R LA,t , χ 4 R LM ,t , χ 5 RUS ,t , φ j ,t Q j , t Pj , t All Sample Non-Crisis Crisis 0.0042*** 5.56 0.0052*** 3.76 0.0033*** 2.76 0.0049*** 2.78 0.0071*** 4.04 0.0004 0.17 0.0014 1.17 -0.0001 -0.44 0.004*** 3.46 -0.0004 -0.328 -0.0011 -0.55 0.0011 0.48 T-statistic -0.0115*** -6.54 -0.0063*** -2.90 -0.0196*** -7.018 Constant T-statistic 0.0108 0.326 -0.0155 -0.40 0.0970** 2.53 Observations Adjusted R-squared 4,942 0.03 3,274 0.02 1,668 0.05 T-statistic L1M (χ2) T-statistic L0C (χ3) T-statistic Local Index Return (χ4) T-statistic US Return (χ5) These results are "Manger Only" in that they control for investor redemption effects as in equation (2). T-statistics are corrected for heteroskedasticity across funds. Full sample: April 1993 to January 1999. The crisis portion of the sample includes December 1994June 1995, July 1997-March 1998, August 1998-October 1998, and January 1999. The non-crisis portion is the rest of the sample. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level 30 Table 10 Regression Results by Crisis: Manager Only Q j ,t . Q j ,t . 1 . Q j ,t )Q j Independent Variables j ,t j . Q j ,t . 1 ∗Pj ,t > β , χ 1 R j ,t , χ 2 R j ,t . 1 , χ 3 RLA,t , χ 4 RLM ,t , χ 5 RUS ,t , φ j ,t Q j , t Pj , t Mexican Crisis Asian Crisis 0.0058*** 6.85 0.0040* 1.94 0.0012 0.95 0.0078 1.32 -0.0005 -0.16 0.0002 0.07 0.0103* 1.92 0.0078 1.15 0.0080* 1.88 -0.0025 -0.434 -0.0004 -0.09 0.0047 1.12 T-statistic -0.0087 -0.82 -0.0218*** -4.22 -0.220*** -2.84 Constant T-statistic 0.2959 1.07 0.9580* 1.93 0.309*** 6.037 L0M (χ1) T-statistic L1M (χ2) T-statistic L0C (χ3) T-statistic Local Index Return (χ4) T-statistic US Return (χ5) Observations Adjusted R-squared 297 0.11 910 0.02 Russian Crisis 430 0.03 These results are "Manager Only" in that they control for investor redemption effects as in equation (2). T-statistics are corrected for heteroskedasticity across funds. The Mexican Crisis portion of the sample includes December 1994-June 1995. The Asian Crisis portion of the sample includes July 1997-March 1998. The Russian Crisis portion of the sample includes August 1998-October 1998. For robustness, results in each cell are based only on observations within three standard deviations of the mean. * Statistically Significant at the 10-percent level ** Statistically Significant at the 5-percent level *** Statistically Significant at the 1-percent level 31 Table 11: Variance Ratio Test of Stock Returns Horizon COUNTRY 3-months Argentina 12-months 24-months 36-months 48-months 60-months 1.02 0.88 0.70 0.62 0.60 0.60 (0.84) (0.59) (0.35) (0.35) (0.39) (0.45) Brazil 1.01 0.99 0.82 0.71 0.75 0.83 (0.93) (0.95) (0.57) (0.46) (0.59) (0.75) Chile 1.34 1.94 2.50 2.88 3.16 2.97 (0.00) (0.00) (0.00) (0.00) (0.00) (0.00) 1.43 2.22 2.40 2.63 2.76 2.81 (0.00) (0.00) (0.00) (0.00) (0.00) (0.00) 1.31 1.50 1.61 1.74 1.85 1.84 (0.00) (0.02) (0.06) (0.06) (0.07) (0.11) 1.07 0.80 0.64 0.70 0.82 0.58 (0.45) (0.37) (0.27) (0.45) (0.69) (0.42) 1.15 1.59 1.53 1.10 0.97 0.88 (0.09) (0.01) (0.10) (0.80) (0.95) (0.82) Colombia Mexico Peru Venezuela USA 0.96 0.91 0.83 0.90 0.91 0.94 (0.64) (0.69) (0.60) (0.81) (0.84) (0.91) Note: P-values are shown in parentheses 32 References Asness, C., J. 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