Information Uncertainty and Momentum Phenomenon Amidst Market Swings: Evidence From the Chinese Class A Share Market

This paper empirically investigates how ﬁrm-level information uncertainty impacts momentum proﬁts in the Chinese Class A share market. We employ seven different factors to gauge the degree of ﬁrm-level information uncertainty—ﬁrm size, ﬁrm age, analysts’ coverage, return volatility, dispersion in analysts’ earnings forecast, trading volume, and the quality/strength of corporate governance (free ﬂoat ratio). We ﬁnd evidence showing that information uncertainty has an amplifying effect over the momentum proﬁts, and the amplifying effect is more pronounced over the time periods following DOWN market state over the sample period from January 1996 to December 2013. The robustness of the empirical evidence is warranted by a risk-adjustment test based on the FF3F model and Wang and Xu’s (Financ Anal J 60(6):65–77, 2004) FF3F model, a sub-period analysis, and a different deﬁnition of market states. The empirical ﬁndings can provide an important reference point for international and domestic investors when adjusting investment strategies and portfolio positions in relatively volatile ﬁnancial markets such as the Chinese stock market.


Introduction
. The remainder of the paper is organised as follows: Sect. 2 outlines the relevant literature. The hypotheses development is presented in Sect. 3. While Sect. 4 describes sample dataset and methodology, Sect. 5 presents the empirical findings of this study. Section 6 describes the robustness test result, and Sect. 7 concludes the study.

Literature Review
The seminal work of this line of research is carried out by Jiang et al. (2005) in the US stock markets. Differing from the previous information uncertainty (IU)related studies where researchers traditionally interpret information uncertainty as an indication of information asymmetry, Jiang et al. (2005) hypothesise that information uncertainty represents the difficulty of estimating firms' value, and thereby employ four variables-Firm Age, Return Volatility, Average Daily Turnover, and the Duration of its future cash flows-to proxy for the degree of IU. In their research, Jiang et al. (2005) reason that a greater degree of firm-level information uncertainty associated with stocks can potentially accentuate the magnitude of momentum profits under the information-uncertainty investor's overconfidence arbitrage-costs paradigm. 4 Through analysing the interactions between the IU factor with price momentum, with earnings momentum, and with industry distribution respectively, they find the empirical evidence supports their hypothesis-the implementation of momentum trading strategies within stocks associated with high IU level significantly improved the momentum profits. From an empirical perspective, Jiang et al. (2005) contend that the trading strategy that emphasises the impact of the momentum-related signals on high-IU firms and impact of value-related signals on low-IU firms could strengthen the profitability of portfolio investment. Extending Jiang et al.'s (2005) work, Zhang (2006) adopts a slightly different approach to gauge the degree of information uncertainty factor. Locating the bedrock of his research hypothesis on the heuristic bias-specifically, overconfidence-as suggested by evidence found in previous behavioural finance studies (Daniel et al. 1998), Zhang (2006) selects a set of factors comprising firm size, firm age, analyst coverage, dispersion in analyst earnings forecasts, stock volatility, and cash flow volatility in an attempt to best proxy for the level of information uncertainty 5 associated with companies listed in the US stock market. Forming portfolios based on different information uncertainty proxies, Zhang (2006) finds that all the empirical evidence unanimously suggests that a higher IU level associated with stocks following good/bad news magnifies the profitability of momentum trading strategies. This indirectly indicates that the momentum effect can be largely attributed to how quickly share prices adjust to news to reflect the company's fundamental value. Specifically, the momentum profits are noticeably larger among stocks/portfolios associated with high levels of information uncertainty. 4 "The level of information uncertainty is positively correlated with a pervasive form of decision bias (investor overconfidence), and that it is also positively correlated with arbitrage costs (in particular, the prevalence of information cascades)" (Jiang et al. 2005: 217). 5 Zhang (2006: 105) defines information uncertainty as "ambiguity with respect to the implications of new information for a firm's value…".
In addition, the intricate relationship between the strength of corporate governance and the performance of stocks for corresponding firms has been well documented in the literature. Gompers et al. (2003) construct a "Governance Index" using data taken from the Investor Responsibility Research Center (IRRC) and find that "corporate governance is strongly correlated with stock returns during the 1990s" (Gompers et al. 2003: 144). Drobetz et al. (2004) test Gompers et al.'s (2003) hypothesis on the German financial market using a broad corporate governance rating (CGR) to measure corporate quality of the firms and find that "better corporate governance is highly correlated with better operating performance, higher stocks returns and higher market valuation" (Drobetz et al. 2004: 270). In the setting of the Chinese stock market, Wang and Xu (2004) employ corporate governance-measured by residual free-float ratio-to replace the value effect factor of the traditional FF3F model as one of the risk factors in a modified version of Fama and French's 1993 three-factor model and document the fact that the corporate governance factor (free-float ratio) "significantly increased the explanatory power of the market model" (Wang and Xu 2004: 65).
Additionally, the quality/strength of firm-level corporate governance has been entrenched as a suitable proxy for firm-level IU. Bushman and Smith (2001) empirically explore the interrelation between information uncertainty and corporate governance practices and show that the quality of corporate governance can reflect the level of information uncertainty associated with firms in the corporate markets. Magnan and Xu (2008) show that poor quality of corporate governance practice (no or less information disclosure) can trigger a higher level of firm-specific information uncertainty.

Hypothesis Development
This study adopts the entrenched definition of firm-level information uncertainty-"the degree to which a firm's value can be reasonably estimated by even the most knowledgeable investors at reasonable costs" (Jiang et al. 2005: 185) and "the ambiguity with respect to the implications of new information for a firm's value" (Zhang 2006: 105). According to the theoretical framework of judgmental heuristics, economic agents are inclined to introduce more optimistic bias into their decisionmaking procedures under the conditions of greater information uncertainty (Armor and Taylor 1998). With judgments hamstrung by lack of relevant information and the afore-mentioned optimistic bias, investors are predisposed to become involved in an evaluative judgmental procedure of information processing (Armor and Taylor 1998;Schwarz 1990), characterised by frequent practice of intuitive heuristics such as affective and prototype heuristics of System 1 (intuitive) of two cognitive systems (Kahneman and Frederick 2002). The investors' participation in the evaluative judgmental process fosters and heightens the influence of various behavioural biases such as overconfidence (Daniel et al. 1998), conservatism (Barberis et al. 1998), underconfidence (Du 2002) and under-reaction (Hong and Stein 1999) over the momentum phenomenon. A higher degree of information uncertainty is expected to have an amplifying effect upon momentum returns (Grinblatt et al. 1995;Kurov 2008;Nofsinger and Sias 1999).
In light of various established behavioural theories revolving the momentum phenomenon, we pulled together four contemporary behavioural theory frameworks while exploring the influence of information uncertainty over momentum returns: (1) Daniel et al. (1998) propose a behavioural model where investors are assumed to be quasirational and overconfident, and suggest that it is the investors' overreaction driven by human cognitive biases-overconfidence, self-attribution bias and confirmation bias-that leads to the momentum phenomenon observed in the financial market; (2) Inspired by psychological evidence such as representativeness bias (Tversky and Kahneman 1974) and confirmation bias (Gilovich 1993), Barberis et al. (1998) construct a model consisting of one representative market investor and one security, where the representative investor's sentiment directly affects the security's price in the fictional market. They claim that the momentum phenomenon stems from the investors' underreaction to earnings information in the financial market; (3) Hong and Stein (1999) extended two prior works (Barberis et al. 1998;Daniel et al. 1998) by constructing a behavioural theory on the behavioural interaction between two different types of agent as opposed to the focus on the behaviour of one single representative agent employed by Barberis et al. (1998) and Daniel et al. (1998). According to Hong and Stein's (1999) theory, all market investors are assumed to be "boundedly rational" Stein 1999: 2144), yet can be divided into two distinctive groups-"newswatcher" and "momentum trader". They subsequently postulate that it is under-reaction by "newswatchers" towards private information signals that drives and lies at the heart of the momentum phenomenon in the stock market; (4) Du (2002) proposes a behavioural model on the premise of heterogeneity in investors' self-confidence. The momentum phenomenon is largely believed to be driven by investors' under-reaction to public information, signalling a permanent change in the fundamental value of assets (Hong and Stein 1999). Du nominates investors' hesitation during the decision-making process as the driving force behind the momentum phenomenon.
Proposition 1 Information uncertainty, proxied by seven different factors comprising firm size, firm age, analysts ' coverage, return volatility, dispersion in analysts' earnings forecast (DISP), trading volume, and the quality/strength of corporate governance (free float ratio), amplifies the returns of the (Ranking = 6 months, Holding = 6 months) momentum strategy in the Chinese Class A share market.
Under the theoretical framework of heuristics and biases traditions (Tversky and Kahneman 1974), the vast majority of Chinese stock market participants (retail investors) (Kang et al. 2002) are inclined to embrace the bearish view concerning the outlook of stock returns (Fisher and Statman 2002) following a market downside movement, which is a reflection of retail investors' persistent sombre sentiment (Brown andCliff 2004, Fisher andStatman 2000). In the face of a greater degree of information uncertainty, the negative sentiment of Chinese retail investors heightens their perception of risk (Schwarz 1990). This leads to the under-reaction toward firm-specific news induced by investors with low confidence (Du 2002) and in turn results in more profound momentum profits among high IU stocks over the time peri-ods following DOWN market states. 6 Similarly, another parallel theory points to the same conjecture. Retail investors are pessimistic over the dim outlook of the market during post-down market periods. Being preoccupied by investors' concern over heightened IU provokes the evaluative judgment process involving frequent practice of intuitive heuristics (Schwarz 1990) such as the affective, availability heuristics of System 1 (intuitive) of two cognitive systems (Frederick 2002;Kahneman and Frederick 2002). As a result, investors' decisions are subject to the pervasive influence of different behavioural biases such as overconfidence, conservatism, under-confidence, all of which engender larger momentum profits during post-market slides (Barberis et al. 1998;Daniel et al. 1998;Du 2002;Hong and Stein 1999). During the time periods following market run-ups, Asian investors are less prone to the influence of different forms of heuristic bias for the repressed individualism in Asian culture in their decision-making processes. This attribute subsequently depresses the significance of the momentum effect in Asian financial markets (Chui et al. 2010). Taken together, we form the second proposition.

Proposition 2
The amplifying effect of information uncertainty over momentum return of the (R = 6, H = 6) momentum trading strategy is more pronounced over the time periods following DOWN market state.

Measurement of firm-level information uncertainty
A few researchers (Jiang et al. 2005;Zhang 2006) have studied the impact of information uncertainty over the momentum profits; yet, to date, there is no consensus on the most suitable set of variables to measure firm-level information uncertainty (Schultz 2005). In view of Zhang (2006) and Jiang et al. (2005)'s seminal works and prior empirical evidence indicating the intricate relationship between the strength of corporate governance, firm value, and information uncertainty (Cai et al. 2006;Gompers et al. 2003;Magnan and Xu 2008;Wang and Xu 2004), we employ a group of seven proxy factors to gauge the degree of firm-level information uncertainty: 1. Firm size is measured by a stock's market capitalisation before the ranking period.
Firms of small capitalisation size are associated with a less diversified business model, higher leverage level, and are susceptible to the obscuring of information accessibility (Chan and Chen 1991). 2. Firm age is measured by the number of days prior to the ranking period after a stock gets listed or first appears in the database. Firms with a relatively short history in the stock market tend to receive limited attention from analysts and investing public, exposing them to information deficit (Jiang et al. 2005;Zhang 2006).
3. Analysts' coverage is measured by the residual 7 from regressing the number of analysts covering the firm in the year before the ranking period against the market capitalisation of the corresponding firm to mitigate the confounding effect of the firm size and analysts' coverage 8 documented by Bhushan (1989). The information on firms with less analysts' coverage tends to diffuse at a slower pace (Hong and Stein 1999). 4. Return volatility is measured by the standard deviation of the monthly returns of a stock over 6 months prior to the ranking period. Several existing empirical studies established a positive association between return volatility of share price and the degree of firm's value ambiguity (e.g. Magnan and Xu 2008). 5. The dispersion of analysts' opinion on earnings forecast "reflect[s] the information uncertainty each security bears" (Graham and Zweig 2003: 238) and is measured by the "standard deviation of analysts' earnings forecasts scaled by prior year-end stock price to mitigate heteroskedasticity" (Zhang 2006: 110). The divergence of analysts' opinion on share value signifies firm-level information uncertainty (Diether et al. 2002;Dische 2002). 6. Trading volume is estimated by the turnover ratio 9 of a stock prior to the ranking period. According to the liquidity hypothesis (Amihud and Mendelson 1986), thinly-traded stocks bear more risk and are associated with firm-level information uncertainty. 7. The strength of corporate governance is measured by free float ratio 10 (Wang and Xu 2004). Specifically, the free float ratio is calculated by taking the ratio of the number of shares in a listed firm that is free to trade among investors and the total number of shares issued by a company. A negative association between the strength of corporate governance practice and the degree of firm-level information uncertainty has been documented by a slew of empirical studies (Bushman and Smith 2001;Cai et al. 2006;Gillan et al. 2006).

Sample Dataset
The data used in this research are kindly provided by Guotai Junan Securities Co. Ltd. 11 (GTJA) through their database provider, Shanghai Wind Information Co. Ltd. 12 The sample period adopted for the research is from January 1996 to December 2013, covering 216 months in total. The types of data used for the analysis in this study can be listed out as follows: (1)  Seven different factors (firm size, firm age, return volatility, trading volume, analyst coverage, corporate governance, dispersion in analysts' earnings forecast) are employed to examine the impact of firm-level information uncertainty over momentum profits. Firm size is gauged by the market capitalisation (in million yuan 15 ) of each stock at the end of month t. Firm age is measured by the number of days since a stock gets listed or first appears in the database. Return volatility is the standard deviation of monthly returns of each listed stock over 6 months prior to the beginning of the ranking period. Trading volume is estimated by the turnover ratio of each listed stock at the end of month t. Analysts' coverage is measured by the number of analysts covering the firm in the year prior to the ranking period. The strength of corporate governance is proxied by the free float ratios 16 of listed firms prior to the beginning of the ranking period. Dispersion in analysts' earnings forecast (DISP) is measured by the standard deviation of analysts' earnings forecasts scaled by prior year-end stock price.
As shown in Table 1, the average firm size of the Chinese Class A shares, measured by firm's market capitalisation, stands at 371 trillion yuan. There are marked variations in firm size among the Chinese Class A shares. The distribution of the firm size of both Class A shares is significantly skewed to the left, with a fatter tail and higher global maximum point. This pattern of the distribution is consistent across four other proxy variables -firm age, return volatility, trading volume, and quality of corporate governance. In terms of firm age (measured by the number of days the stocks have been listed on the SHSE/SZSE), Share A stocks have been listed for 1478 days on average. Turning now to return volatility (measured by the standard deviation of monthly market excess returns over the year ending at the end of month t), the Share A stocks had 13 Dividends were reinvested automatically.
14 The data of the difference in analysts' earnings forecasts (EPS) are only available from January 2000. 15 Yuan is the base unit of Chinese currency and the primary unit of the reminbi. 16 Free-float ratio is computed by taking the ratio of the number of shares in a listed firm that the firm is free to trade among investors and the total number of shares issued by a company. been, on average, fairly volatile (0.2558). On the trading volume (measured by turnover ratio) front, Share A stocks, on average, changed hands as frequently as 37,253 times. For analyst coverage (estimated by the number of analysts following the firm in the previous year), the average number of analysts covering a specific Share A stock is six, falling in the range between one and seven for the sample dataset. Table 2 shows the correlations between the seven different information uncertainty proxy factors as measured by Pearson correlation (above the diagonal) and Spearman correlation (below the diagonal). Firm size, firm age, and analysts' coverage are positively correlated with each other as expected. 17 Given the fairly strong correlations between analysts' coverage and firm size (Pearson 0.452; Spearman 0.602)/firm age (Pearson 0.462; Spearman 0.425), the measurement of analysts' coverage is carefully calibrated (by adopting a residual analyst's coverage) as detailed in the methodology section below to capture unique characteristics of the information uncertainty proxy. In contrast, the firm size, firm age, and analysts' coverage are negatively correlated with return volatility, indicating the extra volatility associated with smallcap stocks of relatively young firms with deficient analysts' coverage. Quite noticeably, the dispersion in analysts' coverage has very weak correlation with firm size, firm age, analysts' coverage, and return volatility, asserting the importance of including the variable as part of the information uncertainty proxy. However, the dispersion in analysts' coverage is highly correlated with trading volume and strength/quality of corporate governance, reflecting the fact that more frequently traded stocks tend to be associated with better governed firms with more divided opinions among analysts. Moreover, the strength/quality of corporate governance is moderately negatively correlated with firm size, firm age, return volatility, and dispersion in analysts' forecasts and weakly negatively correlated with trading volume (Pearson − 0.217; Spear- Pearson correlation coefficients are shown above the diagonal; Spearman correlation coefficients are shown below the diagonal. All correlation coefficients are significant at the 1% level man − 0.195). It is worth mentioning that the strength of corporate governance factor is strongly negatively correlated with analysts' coverage (Pearson − 0.461; Spearman − 0.352) and moderately positively correlated with dispersion in analysts' coverage (Pearson 0.185; Spearman 0.394), suggesting that the stocks of more stringently-governed firms tend to receive less coverage from analysts and spur less divided opinions among analysts.

Methodology
The degree of information uncertainty is gauged by the seven aforementioned proxy factors. Furthermore, we employ an independent two-way sorting method 18 to quantify the impact of information uncertainty over momentum profits. The mechanism of the independent two-way sorting procedure has been widely adopted in the existing literature (Jiang et al. 2005;Lee and Swaminathan 2000). Specifically, at the beginning of every month over the entire sample period from January 1996 to December 2010, all the eligible Class A share stocks (stocks with price less than US$1 at the portfolio formation date are excluded from the sample) are ranked independently based on two criteria-information uncertainty proxy factor and the returns over the prior 6 monthsin ascending order. Based on the ranking, the stocks, bearing equal weights, 19 are subsequently sorted into five quintile momentum portfolios. The quintile portfolio consisting of 20% of the highest-ranked stocks based on their past 6-month average returns is entitled the "winner" portfolio, whereas the quintile portfolio consisting of 20% of the lowest-ranked stocks is termed the "loser" portfolio. According to 18 Zero-cost strategy is employed for brevity and ease of comparison. 19 The equally-weighted approach is found to not only result in robust results of momentum returns by numerous studies such as Jegadeesh and Titman (1993) and Lee and Swaminathan (2000) but also enables the study to vividly imitate lay people's investing behaviours, normally biased due to the "1/n heuristic" postulated by Benartzi and Thaler (2001). The plausibility of the postulate is supported by many empirical studies in psychology (Allison and Messick 1990;Frederick 2002;Rabin 1997;Samuelson and Zeckhauser 1988).
the ranking based on one of seven information uncertainty proxy factors, 20% of the highest-ranked stocks form "high IU portfolio"; and 20% of the lowest-ranked stocks form "low IU" portfolio. To measure the interplay of information uncertainty proxy factors and the momentum profits, we form the "winner-high IU" portfolio by taking the intersection of the "winner" portfolio and "high IU" portfolio. Similarly, the intersection of the "loser" portfolio and "low IU" portfolio forms the "loser-low IU" portfolio; the intersection of the "winner" portfolio and "low IU" portfolio forms the "winner-low IU" portfolio; and the intersection of the "loser" portfolio and "high IU" portfolio forms the "loser-high IU" portfolio. The momentum quintile portfolios are denoted by Q1, Q2, Q3, Q4 and Q5 from the "loser" portfolio to "winner" portfolio, and the IU quintile portfolios IU1, IU2, IU3, IU4, and IU5 from the "low IU" portfolio to "high IU" portfolio. Collectively, there are 25 different portfolios drawn up based on past stock returns and the degree of information uncertainty. All the "IU-momentum" portfolios are held for 6 months after skipping the month subsequent to the end of the 6-month ranking period to avoid provoking microstructure issues 20 (Galariotis et al. 2007;Jegadeesh 1990;Lehmann 1990). Overlapping portfolios are formed in the process of portfolio-rebalancing to boost the power of the tests (Jegadeesh and Titman 1993). Additionally, a buy-and-hold strategy 21 is employed to minimise transaction costs. The momentum return 22 (R W −L ) t different information uncertainty levels is determined by taking the difference of the average monthly return from relevant "winner-IU portfolio" (R W ) d that from the corresponding "loser-IU" portfolio (R L ).

UP and DOWN Market States
Cooper et al. 's (2004) method is implemented 23 to examine the impact of market fluctuations over the momentum profits at different IU levels. Currently, there is no consensus view on the optimal measurement of market states in the existing literature; however, some results show that macroeconomic factors such as lagged industrial production growth (Huang 2006), a combination of macro variables (Cooper et al. 2004;Du et al. 2009), and the previous 36-month average market return (Cooper et al. 2004;Huang 2006) is ineffective in distinguishing different market states. In view of this, the 12-month average market return is chosen as the main barometer to identify 20 To mitigate the potential issues induced by "bid-ask bounce" bias and return serial correlation (Arena et al. 2008) and to avoid "test statistics based on overlapping returns" (Moskowitz and Grinblatt 1999: 1258), a month is skipped between the end of the ranking period and the start of the holding period (Galariotis et al. 2007;Jegadeesh and Titman 1993;Lehmann 1990;McKnight and Hou 2006). 21 The monthly rebalancing strategy used by Jegadeesh and Titman (1993) is not used in this study in order to avoid the incurring of excessive trading costs (for a Class A share transaction, an investor is obliged to pay 0.3% of trading value as commission to securities firms and 0.1% of trading value as transfer fee to the Depository & Clearing Company. In addition, a sell-side investor is also required to pay 0.1% of trading value as stamp duty to the tax authorities). 22 Mathematically, it can be written as R W −L R W − R L . 23 The method was also adopted by Du et al. (2009), Huang (2006, and Siganos and Chelley-Steeley (2006). the state of the stock market. 24 Specifically, the return of a self-constructed market value-weighted share A composite index entailing all the Class A shares listed on the SHSE and SZSE is used to proxy for the average market return of all Class A shares. Two main methodological steps are implemented: Step 1: the momentum returns conditional on post-UP and -DOWN market states are quantified by regressing the unconditional momentum returns on an UP state dummy and a DOWN state dummy. Mathematically, it can be expressed as where R W −L,t denotes the momentum profits from different momentum trading strategies; UP t s equal to 1 if it is a UP market state (average market return for the previous 12 or 24 months is positive: R market,t−1,t−k > 0 where k 12 or 24) and is 0 otherwise; DOWN t s equal to 1 if it is a DOWN market state (average market return for the previous 12 or 24 months is negative: R market,t−1,t−k < 0 where k 12 or 24) and is zero otherwise. The average momentum return following the UP market state is denoted by R W −L,UP and the average momentum return following the DOWN market state is symbolised by R W −L,DOWN.
Step 2: The difference of momentum returns conditional on post-UP and -DOWN market states is determined by regressing the unconditional momentum returns on a UP market state dummy factor. Mathematically, it can be shown as where R W -L,UP−DOWN represents the difference of momentum return conditional on two different market states (Du et al. 2009).

Information Uncertainty and the Momentum Profits
This study set out to test how firm-level information uncertainty, as measured by the above-listed seven proxy factors, impacts the momentum profits. Chinese Class B shares are excluded from the test due to liquidity and microstructure concerns. As shown in Table 3, we observe a positive relationship between the momentum profits (measured by the difference between average monthly returns of "winner" momentum quintiles and those of "loser" momentum quintiles-Q5-Q1) and the degree of firm-level information uncertainty across different information uncertainty proxy factors. This suggests a general amplifying effect of firm-level information uncertainty over the momentum profits, consistent with what proposition 1 implies. The finding is corroborated by a multitude of behavioural theories and experimental evidence in psychology: under the framework of heuristics and biases tradition, "people also appear to be more optimistically biased under conditions of greater uncertainty" (Armor and Taylor 1998;Gilovich et al. 2005). In buoyant mood, spurred by the optimism/confidence sentiment, investors are more inclined to practice a "top-down, heuristics strategy of information processing" on the premise of "preexisting general knowledge structure" (Schwarz 1990: 542) in the judgmental process. During the procedure, investors frequently implement intuitive heuristics such as affective, and prototype heuristics of System 1 (intuitive) of two cognitive systems (Kahneman and Frederick 2002), subsequently eliciting the behavioural biases such as overconfidence, conservatism, under-confidence and under-reaction that are nominated as the impetus behind the momentum profits (Barberis et al. 1998;Daniel et al. 1998;Du 2002;Hong and Stein 1999) in the literature. Following this logic, as the salience of information uncertainty heightens, the momentum profits are expected to get propped up gradually, which is line with the propositions of our hypotheses. 25 With firm size as the proxy for firm-level information uncertainty, the results 26 show a negative association between firm-level information uncertainty and the average monthly returns of "loser" portfolios (Q1), indicated by a statistically significant difference of − 0.50 (− 1.99). Similarly, firm-level information uncertainty also proves to accentuate the average monthly returns of "winner" portfolios (Q5) (2.15 with t stat 4.53). In comparison, the average monthly returns of "winner" portfolios are more sensitive to an increasingly elevated firm-level information uncertainty, consistent with the pattern described in Hong, Lim and Stein's (2000) study.
Across seven different information uncertainty proxy factors, 27 the general pattern-the negative relation between IU and the returns of "loser" momentum quintiles, and the positive relation between IU and the returns of "winner" momentum quintiles-is present and consistent with empirical evidence found by Zhang (2006). This finding corroborates the prediction reliant on investors' under-reaction theory and gradual information diffusion theory developed by Hong and Stein (1999) and Hong et al. (2000) respectively.
The empirical evidence on the impact of firm-level information uncertainty (as measured by the strength of corporate governance) over the momentum profit is presented in Table 4. In the "Q1" ("loser" portfolio) column, there is statistically significant evidence (− 0.28 t-stats: − 1.99) implying that the returns of "loser" portfolios deteriorated as the degree of firm-level information uncertainty heightened. This result corroborates the postulate that "weak shareholder rights caused poor performance" of firm shares (Gompers et al. 2003:145). Specifically, weak shareholders' rights, reflected by limited communication between the firm and its shareholders, accentuate the sluggish information diffusion. Subsequently, this leads to a further loss in the 25 From a different angle, following the spirit of feelings-as-information theoretical framework, as noted earlier, investors can be rather optimistic under the influence of greater information uncertainty (Armor and Taylor 1998) and the fact that the vast amount of Chinese domestic retail investors' lack of statistical knowledge to override the intuitive heuristics such as affective heuristics (Nisbett et al. 1983), work jointly to give rise to more frequent practice of evaluative judgments (heuristics strategy of information processing) (Schwarz 1990) reflected by the increasingly larger momentum profits as the degree of firm-level information uncertainty heightens. 26 Available upon request. 27 Results are available upon request. This table reports the average monthly returns of momentum portfolio (the difference between the average monthly returns of "winner" portfolios and "loser" portfolios at different information uncertainty levels) grouped following the independent two-way sorting approach based on past 6-month stock returns and firm size as proxy for information uncertainty levels in all the eligible Class A stocks listed in the Shanghai Stock Exchange and Shenzhen Stock Exchange over the sample period from January 1996 to December 2013. The degree of firm-level information uncertainty is gauged by firm size (Size), firm age (Age), analysts' coverage (COV), return volatility (Volatility), dispersion of analysts' opinions on earnings forecast (DISP), trading volume (Volume), and the strength of corporate governance (CG). The intersection of the momentum portfolios (Q1, Q2, Q3, Q4, Q5) and the information uncertainty (IU) portfolios (IU1, IU2, IU3, IU4, IU5) is taken to construct 25 different portfolios as the result of an independent two-way sorting approach. Beginning from 1 month (to avoid microstructure issues) subsequent to the end of the ranking period of 6 months, the portfolios, following the buy-and-hold strategy to avoid excessive trading costs (Galariotis et al. 2007), are held for 6 months. The momentum profits for momentum portfolios associated with different information uncertainty levels (IU1, IU2, IU3, IU4 and IU5) are calculated by taking the difference of the equal-weighted average returns of "winner" portfolios and those of corresponding "loser" portfolios (Q5-Q1). The significance of the momentum profits is determined by t statistics, shown below each momentum profits, for the difference between the returns of "winner" portfolio and those of "loser" portfolio. A high t statistic indicates high signifiance of the testing result (momentum profits). All the momentum profits are denoted in percentages returns on high IU "loser" portfolios (Hong et al. 2000). In addition, the results shown in Table 4 suggest that the average monthly returns of "winner" portfolios increase as the degree of firm-level information uncertainty heightens from 2.75 (IU1) to 4.49 (IU5). The difference between these two average returns is 2.02 and is statistically significant (8.04). Columns Q5-Q1 presents the variation of momentum profits under different degrees of firm-level information uncertainty. We observe the evidence of a gradually increasing momentum profits from 2.03 (3.03) at IU1 to 4.05 (13.15) at IU5, implying the amplifying effect of firm-level information uncertainty upon the This table reports the average monthly returns of momentum portfolio (the difference between the average monthly returns of "winner" portfolios and "loser" portfolios at different information uncertainty levels) grouped following the independent two-way sorting approach based on past 6-month stock returns and the strength of corporate governance as proxy for information uncertainty levels in the consolidated Class A share market consisting of all the eligible Class A stocks listed in the Shanghai Stock Exchange and Shenzhen Stock Exchange over the sample period from January 1996 to December 2013. The significance of the momentum profits is determined by t statistics, shown below each momentum profits, for the difference between the returns of "winner" portfolio and those of "loser" portfolio. A high t statistic indicates high signifiance of the testing result (momentum profits), All the momentum profits are denoted in percentages momentum profits. In the face of greater degree of firm-level information uncertainty, investors are prone to be overly optimistic, which triggers the more frequent use of intuitive heuristics such as affective heuristics of the system 1 (intuitive) of two cognitive systems (Kahneman and Frederick 2002). The heuristics processing procedure in the human judgment process is susceptible to the influence of different forms of behavioural bias such as overconfidence and conservatism, which are found to drive the momentum effect (Barberis et al. 1998;Daniel et al. 1998).

Information Uncertainty and the Price Momentum Phenomenon Amidst Market Swings
In view of the empirical evidence documenting the impact of market dynamics upon the momentum profits (Cooper et al. 2004;Du et al. 2009;Huang 2006), we investigate the dynamics of the market-state-dependent momentum profits at different levels of firm-level information uncertainty in the Chinese stock market. In addition, this study contributes to the debate on the interaction between the momentum profits and information uncertainty by interpreting the empirical results under the aegis of heuristics and bias traditions (Tversky and Kahneman 1974) and behavioural finance theories. The market states are defined by the prior 12/24-month average monthly return of a consolidated Chinese Share A index. As shown in Table 5, we find evidence unanimously showing that the IU-(R 6, H 6) momentum profits conditional on post-DOWN market state outstrip those conditional on post-UP market state across seven different firm-level IU proxy factors, which is consistent with proposition 2. In short, under Kahneman and Frederick's (2002) two cognitive system theoretical frameworks, the limited availability of investors' cognitive resources elicits frequent use of intuitive heuristics (Schwarz 1990), which leads to a more prevalent momentum effect. This knock-on effect of this mechanism is further accentuated when investors are facing higher degrees of firm-level information uncertainty.
Specifically, when firm size (measured by its market capitalisation) is used to gauge different degrees of firm-level information uncertainty, what the results imply is twofold: (1) a consistent pattern indicates that momentum profits gradually increase as firm-level information uncertainty heightens from 1.15 to 2.14% for post-UP market condition and from 1.42 to 2.53% for post-DOWN market condition, and (2) the momentum profits found conditional on post-DOWN market state outstrip those found conditional on post-UP market state across different degrees of firm-level information uncertainty. This finding lends support to the crux of Hong et al.'s (2000) gradual information diffusion theory, implying that the momentum effect is accentuated by the sluggish scattering of news concerning small-sized firms associated with higher degrees of firm-level information uncertainty.
Furthermore, the results from the equality test reaffirm the superior momentum profits conditional on IU and post-DOWN market state across different degrees of firm-level information uncertainty. As presented in Table 6, the momentum profits conditional on post-DOWN market state eclipses those conditional on post-UP market state by an average of 0.28; this is highly statistically significant. This pattern is also unanimous across different degrees of firm-level information uncertainty. Aided by Du's (2002) investors' under-confidence model, we propose that with the market slides in their rear-view mirror, the vast amount of Chinese retail investors (Kang et al. 2002) are prone to carry the dim view that they hold of the market further (Brown and Cliff 2004;Fisher and Statman 2002). This lingering bearish view, along with a higher degree of firm-level information uncertainty, accentuates the momentum profits. In contrast, riding the wave of the optimistic sentiment following market run-ups, investors have more cognitive resources (Armor and Taylor 1998) and are inclined to process information using systematic heuristics such as neural, statistical, and abstract heuristics. 28 This mechanism improves the efficiency of information diffusion and deters the influence of investors' under-confidence, consequently depressing the momentum profits.
The results using the other six variables as firm-level information uncertainty generally resemble what is observed when firm size is used to gauge the firm-level information uncertainty. This table presents the momentum returns at different degrees of firm-level IU over the time periods following UP and DOWN market states in the Chinese Class A share market for the sample period from January 1996 to December 2013. The UP and DOWN market states are defined by prior 12-month average market returns, with a consolidated Chinese Share A index being employed as a proxy for market portfolio. The momentum profits (Q5-Q1) are determined by the difference between the average monthly return of the "winner" portfolio (Q5) and that of the "loser" portfolio (Q1), the significance of which is indicated by corresponding t statistics. A high t statistic indicates high signifiance of the testing result (momentum profits). The calculation of the momentum profits at different degrees of firm-level IU conditional on post-UP and DOWN market states is akin to the approach taken by Cooper et al. (2004), Du et al. (2009), Huang (2006 and Siganos and Chelley-Steeley (2006). Mathematically, the procedure can be expressed as R W−L,t R W−L,UP UP t + R W−L,DOWN DOWN t + e t . All the momentum profits in the table are denoted in percentages This table reports the results from the equality test on the difference between the momentum profits conditional on post-UP and DOWN market states across five different levels of firm-level information uncertainty for Chinese Class A shares from January 1996 to December 2013. The method is similar to that employed by Cooper et al. (2004): In regard to the role of the strength of corporate governance as a measurement of firm-level information uncertainty, the results summarised in Table 7 show the presence of the prevalent amplifying effect of the firm-level information uncertainty over momentum profits. Specifically, when the investigation is set conditional on post-UP market state (Panel A of Table 7), the momentum profits (Q5-Q1) creeps up from 1.83 to 3.15, and the difference between the momentum profits found at IU1 and that found at IU5 is strongly statistically significant (1.32: 4.55). When conditional on the post-DOWN market state (Panel B of Table 7), the momentum profit rises from 2.37 to 3.97; both are significant at the 5% level. Two unanimous patterns can be observed in Panels A and B: 1) the returns of "loser" portfolio (Q1) decrease by 0.49 during post-UP market state and 0.38 during post-DOWN market state as the degree of firm-level information uncertainty heightens, suggesting that firms with lacklustre prior performance and weaker corporate governance tend to underperform; and 2) the return of "winner" portfolio rises as the firm's corporate governance weakens from 1.83 to 3.15 (post-UP market state) and from 2.37 to 3.97 (post-DOWN market state). This indicates that investors are compensated for by keeping stocks associated with higher firm-level information uncertainty.

Sub-period Analysis
In the light of the claim that business cycles are attributable to the momentum phenomenon (Antoniou et al. 2007), a sub-period analysis is employed revolving around two of the salient financial reforming events to test the robustness of the results. Specifically, the two events are (1) the implementation of the new PRC security law on 1 July 1999, and (2) the opening of the Chinese Class A share market to qualified foreign institutional investors (QFII) on 9 July 2003. Both these events were found to have ameliorated the operational efficiency of the Chinese stock market as documented by Lin and Swanson (2008). Methodologically, the time periods revolving Table 7 Momentum profits and firm-level information uncertainty conditional on post-UP and -DOWN market states (12 months) in the Chinese Class A share market (January 1996-December 2013)   IU1  IU2  IU3  IU4  IU5  IU5-IU1 t-value The strength of corporate governance (residual free float ratio)

Panel A: Momentum profits and firm-level information uncertainty
Post-UP market state condition The portfolios are formed based on the independent two-way sorting mechanism. All the eligible stocks are ranked based on their prior 6-month returns and the corporate governance proxy-free float ratio, measured by the ratio of the number of shares in a listed firm freely to be traded among all the investors and total number of shares of the firm, independently into five quintiles for each factor. Taking the intersections of these 10 quintiles gives rise to 25 momentum-IU portfolios in total, with every stock being equally weighted within every portfolio. After skipping a month, all the resulting portfolios are held for 6 months following the buy-and-hold strategy to curb trading costs from the perspective of practicality. The momentum profits (Q5-Q1) is determined by the difference between the average monthly return of "winner" portfolio (Q5) and that of "loser" portfolio (Q1), the significance of which is indicated by corresponding t statistics. A high t statistic indicates high signifiance of the testing result (momentum profits). The calculation of the momentum profits under influence of IU over the periods following UP and DOWN market states is akin to the approach taken by Cooper et al. (2004), Du et al. (2009), Huang (2006 and Siganos and Chelley-Steeley (2006). Mathematically, the procedure can be expressed as R W−L,t R W−L,UP UP t + R W−L,DOWN DOWN t + e t . All the momentum profits in the table are denoted in percentages. * indicates a 10% statistical significance level and ** indicates a 5% statistical significance level around the two salient financial market regulatory reforms are split into pre-event periods and post-event periods-for the implementation of the new PRC securities law (1 July 1999): pre-event period (January 1998-June 1999) and post-event period (August 1999-January 2001; for the opening of Chinese Class A share market to qualified for-eign institutional investors (QFII) (9 July 2003): pre-event period (January 2002-June 2003 and post-event period (August 2003-January 2005. During pre-event time periods, jittery over the uncertainty revolving around the implementation of new regulatory reforms, investors heighten their perception of risk (Schwarz 1990), which accentuates the impact of the sluggish information diffusion. This surmises with our expectation of more prevalent momentum profits during preevent time periods (Hong et al. 2000). In contrast, during post-event time periods, if the launch of a regulatory reform receives a warm reception, the optimistic sentiment would free up investors' cognitive resources. The more generous availability of investors' cognitive resources elicits the practice of reflective heuristics such as statistical heuristics in System 2 (systematic) of Kahneman and Frederick's (2002) two cognitive systems. Therefore, we are expecting slightly weaker momentum profits during post-event periods. From the perspective of operational efficiency of the market, a weaker momentum profits expected in the post-event period would suggest an improvement in the operational efficiency (Pena 1995), in line with the aim of the two Chinese stock market regulatory reforms (Lin and Swanson 2008).
We run the sub-period analysis test to examine the resilience of the momentum profits conditional on different degrees of firm-level information uncertainty and find consistent results across seven different firm-level information uncertainty proxies. Table 8 reports the conditional momentum profits on the firm-level information uncertainty (measured by firm size 29 ) during the launch of the two salient market regulatory reforms-the implementation of the new PRC security law and the opening of the Chinese Class A share market to qualified foreign institutional investors (QFII). Across the board, the conditional momentum profits are all positive and statistically significant. During all four sub-sample periods, the momentum profit tends to rise as firm-level information uncertainty heightens. This result indicates that the amplifying of firm-level information uncertainty upon the momentum profit persists. In addition, the conditional momentum profits found during pre-event time periods tends to outpace that found during post-even time periods for both regulatory reforms, which is largely in line with our expectations. In short, this result suggests that investors frequently practice reflective heuristics in their decision-making process (Kahneman and Frederick 2002) during post-event time periods or an improvement in the operational efficiency of the Chinese stock market.

Risk Adjustment by Two Versions of the FF3F Models 30
We further test the resilience of the conditional momentum profits based on two versions of the Fama and French three-factor (FF3F hereafter) model (Fama and French 1993). Specifically, the original version of the FF3F incorporates a market-risk factor (R m,t − R f ,t )a firm-size effect factor (SMB t )nd a value-effect factor 31 (HML t )In line 29 The rest of the results are available upon request. 30 The rest of risk-adjustment results are available upon request. 31 The question of whether firm size-effect factor and value-effect factor should be categorised as risk factors remains debatable (Ferson and Harvey 1999) in the literature. This table reports the momentum profits conditional on different degrees of firm-level information uncertainty over pre-event and post-event periods revolving around two salient Chinese stock market reforms-1) the launch of the PRC security law in July 1999, and 2) the openings of Class A shares to qualified foreign institutional investors (QFII) in the Chinese Class A share market. * indicates statistical significance at the 10% significance level; ** indicates statistical significance at the 5% significance level. All the momentum profits are denoted in percentages with Wang and Xu's (2004) approach, the conditional momentum profit is also adjusted against a unique set of risk factors-a market-risk factor (R m,t − R f ,t )a firm-size effect factor (SMB t )nd a residual free float ratio 32 (the strength of corporate governance factor) (RFF_HML t )In the setting of the Chinese stock market, supplanting the valueeffect factor with the strength of corporate governance factor is found to improve the explanatory power of the asset-pricing model. As shown in Table 9, we find that the conditional momentum profits become significantly more subdued both in magnitude and statistical significance. In addition, the results across different firm-level information uncertainty measurements unanimously suggest that Wang and Xu's (2004) version of the FF3F model is superior in justifying the conditional momentum profit. However, neither of these two asset-pricing 32 Consistent with Wang and Xu's (2004) approach, the residual free float ratios are estimated by regressing free float ratios against logarithm market capitalisation of corresponding firms at the end of June every year.
indicates statistical significance at the 10% level; ** indicates statistical significance at the 5% level models is able to fully explain the conditional momentum profit under the influence of firm-level information uncertainty. 33

Conclusion
The paper extends the understanding of the momentum phenomenon in the setting of the Chinese stock market by investigating the impact of firm-level information uncertainty over the momentum profits amid market swings. 33 To boost the power of our test and underscore the robustness of the findings in this study, we also run the tests to investigate the dynamics of the momentum profits under the influence of IU over time periods following two different market states-UP and DOWN, with the market states defined by prior 24-month market average return, differing from prior 12-month market average return used to defined market states.
Overall, the results from the above-mentioned test strikingly resemble the patterns of the results found when prior 12-month is used as the market state definition, corroborating the finding that the amplifying of IU over momentum profits is particularly pronounced over time periods following DOWN market state yet dampened over time periods following UP market state across all IU proxy factors except for the quality of corporate governance (results are available upon request).
By employing seven factors-firm size, firm age, analysts' coverage, return volatility, dispersion in analysts' earnings forecast, trading volume, and the quality/strength of corporate governance (free float ratio)-to proxy for the degree of firm-level information uncertainty (IU), we find that the returns of the "loser" momentum quintile (Q1) tend to be negatively related to firm-level IU, whilst the returns of the "winner" momentum quintile (Q5) are positively associated with firm-level IU. This accords with the predictions of our hypotheses and is corroborated by the under-reaction theory and gradual information diffusion theory (Hong and Stein 1999;Hong et al. 2000). Furthermore, we find that momentum profit increases as the degree of firm-level information uncertainty heightens, indicating the amplifying effect of firm-level information uncertainty upon the momentum profits. This phenomenon can be explained using the theoretical framework of human cognitive bias. In the face of a greater degree of firm-level information uncertainty, market participants are inclined to embrace a more extensive practice of intuitive heuristics such as affective, representativeness heuristics of System 1 (intuitive) of two cognitive systems (Kahneman and Frederick 2002) in their decision-making processes. This mechanism contributes to the amplifying effect of firm-level information uncertainty.
In addition, we also find that the amplifying effect of information uncertainty over the momentum profit is exacerbated over the post-DOWN market states. This phenomenon can be driven by investors' under-confidence and relatively limited availability of cognitive resources in investors' decision-making processes. Specifically, subsequent to market downdrafts, the lingering bearish sentiment coupled with heightened degree of firm-level information uncertainty undermines investors' confidence and the availability of market participants' cognitive resources (Brown and Cliff 2004). This elicits more frequent practice of intuitive heuristics of System 1 of the two cognitive systems in investors' decision-making processes (Kahneman and Frederick 2002), which in turn accentuates the conditional momentum profit.
Through a sub-period analysis revolving the inception of two financial market regulatory reforms-(1) 1 July 1999: the implementation of the new PRC security law; and (2) 9 July 2003: the opening of the Chinese Class A share market to qualified foreign institutional investors (QFII)-we affirm the resilience of the findings. In the risk-adjustment process, we employ two versions of the FF3F asset-pricing models. Results show that neither model can fully explain the conditional momentum profits. However, Wang and Xu's (2004) model-the value-effect factor is replaced by a residual free float ratio-holds superior explanatory power over the conditional momentum profits in the setting of the Chinese Class A share market.
In this line of research, where most prior empirical studies focused on the evidence of the momentum profit or time-varying conditional momentum profit in the setting of the Chinese stock market, our results contribute to the literature by exploring the characteristics of the momentum profits conditional on both market states and firm-level information uncertainty. We particularly explored the unique role of the strength of corporate governance in the setting as a firm-level information uncertainty measurement and a risk factor embedded in Wang and Xu's (2004) FF3F asset-pricing model. To the best of the author's knowledge, this niche field has never been touched upon in previous research.
Due to its lack of interrelation with other developed financial markets, the Chinese stock market is a prime sourcing location for international investors to achieve portfolio diversification strategies. Therefore, the understanding of the characteristics of the momentum profits conditional on market states and firm-level information uncertainty is important to global investors.
In future studies, the discussion on the reasons why the strength of corporate governance can play such a unique role in the Chinese Class A share market can be further extended.
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