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Market Response to Investor Sentiment

Market Response to Investor Sentiment
Market Response to Investor Sentiment

Journal of Business Finance & Accounting Journal of Business Finance&Accounting,40(7)&(8),901–917,September/October2013,0306-686X

doi:10.1111/jbfa.12039

Market Response to Investor Sentiment J¨O RDIS H ENGELBROCK,E RIK T HEISSEN AND C HRISTIAN W ESTHEIDE?

Abstract:This paper reconsiders the effect of investor sentiment on stock prices.Our main contribution is that,in addition to the intermediate term return predictability,we also analyze the immediate price reaction to the publication of survey-based investor sentiment indicators. We find that the sign of the immediate market response is the same as that of the predictability at intermediate time horizons.This is consistent with underreaction to cash flow news or with investor sentiment being related to mispricing.It is inconsistent with the alternative explanations of a rational response to cash flow news or sentiment indicators providing information about future expected returns.

Keywords:investor sentiment,event study,return predictability

1.INTRODUCTION

Recent empirical research suggests that survey measures of investor sentiment have the ability to predict future stock returns over the intermediate and long term.The usual econometric approach is to regress future stock index returns on a sentiment indicator and appropriate control variables.The aim of using the controls is to account for variables(such as the term and yield spread)that are already known to predict future returns.A significant coefficient for the sentiment indicator is interpreted as evidence that sentiment predicts future returns.

In a rational setting,stock prices will only change in response to measures of investor sentiment when these measures contain new information.This information, in turn,can relate to future cash flows or to expected returns.If sentiment measures contain information on future cash flows and the market reacts rationally to this

?The first author is at the Bonn Graduate School of Economics,University of Bonn.The second author is at the University of Mannheim,the Centre for Financial Research,Cologne,and the Center for Financial Studies,Frankfurt.The third author is at the University of Mannheim and the Center for Financial Studies, Frankfurt.Most of the research was conducted while the last author was at Bonn Graduate School of Economics,University of Bonn.Hengelbrock and Westheide gratefully acknowledge financial support from the German Research Association(DFG).The authors are grateful to J¨o rg Breitung,Greg Brown,Mike Cliff,Daniel Dorn and Markus Glaser for helpful conversations,and to Norman C.Strong(the associate Editor),an anonymous referee,and participants of the Northern Finance Association2009Conference,the Financial Management Association European Meeting2009,the Annual Meeting of the Spanish Finance Association2009,the Economics,Management and Finance Doctoral Meeting of Montpellier2009,the Augustin Cournot Doctoral Days2009,the Macro/Finance Workshop at the University of Bonn2009,and the Campus for Finance Research Conference2010for valuable suggestions that helped to improve the paper.(Paper received December,2010;revised version accepted April,2013).

Address for correspondence:Erik Theissen,Lehrstuhl f¨ur ABWL und Finanzierung,Universit¨a t Mannheim, D-68131Mannheim,Germany.

e-mail:theissen@uni-mannheim.de

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902HENGELBROCK,THEISSEN AND WESTHEIDE

information we should observe an immediate stock price reaction but no intermediate or long-term effect.1Alternatively,sentiment measures may contain information about future expected returns.In this case we expect that the sentiment measure predicts returns at longer horizons and triggers an immediate price reaction in the opposite direction.To see this,assume that an increase in the sentiment measure is informative of lower risk aversion and thus lower discount rates.We should then expect to see lower returns in the future(and thus a negative relationship between the sentiment measure and returns in the intermediate or long term).At the same time we should see an immediate increase in prices because current stock prices are inversely related to expected returns.Thus,in a rational setting the publication of sentiment measures can have a)an immediate price effect but no long-term effect(“cash flow news scenario”), or b)a long-term effect and an immediate price reaction in the opposite direction (“expected return news scenario”).In the latter case the predictive ability of sentiment indicators does not imply a violation of market efficiency.

If market participants are not fully rational they may underreact and/or overreact to news(as in the model of Hong and Stein,1999),or they may extrapolate too much from previous returns(as proposed by Brown and Cliff,2005).In these cases different return patterns can emerge.For example,the sentiment measure may contain information about future cash flows,but there may be an initial underreaction which is later corrected.We would then observe an immediate effect and a long-term effect in the same direction.

In the present paper we want to analyze whether the market reaction to investor sentiment can be explained rationally(i.e.,by the future cash flow scenario or the expected return news scenario introduced above)or whether one has to resort to explanations based on underreaction,overreaction or mispricing.This is an obviously important an as yet unanswered question(e.g.,Brown and Cliff(2005,p.437).Our approach is to simultaneously consider intermediate and long-horizon predictability on the one hand,and the immediate market reaction to the publication of sentiment indicators on the other.As outlined above,in a rational setting the publication of sentiment measures can either have an immediate price effect but no long-term effect, or a long-term effect and an immediate price reaction in opposite directions.If we observe a different pattern we can discard the rational explanations.

To the best of our knowledge,our paper is the first to empirically analyze the immediate response of stock returns to the publication of survey-based sentiment measures.We use data from Germany and the US.In the first part of our analysis we rely on the methodology proposed by Brown and Cliff(2005).We replicate their tests for medium and long-term predictability.Consistent with previous results in the literature(to be briefly reviewed in section2),we find a significant negative relationship between the sentiment indicator and subsequent medium term(up to 3months)index returns in the US for the earlier parts of our sample period(1987–94and,to a much lesser extent,1994–2001).This relationship disappears towards the end of our sample period.In the final sub-period(2001–08),the coefficients of the predictive regressions are predominantly positive but only weakly significant.The sentiment indicator for the German market is correlated positively with future returns. 1The intermediate and long-term predictability reported in previous research is thus inconsistent with the “cash flow news”scenario.

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MARKET RESPONSE TO INVESTOR SENTIMENT903 This is consistent with the results from the US,because the German sample covers the years2001–08,which is precisely the period for which we also find positive coefficients in the US sample.

In the second step of our analysis,we use event study methodology to test whether daily index returns respond to the publication of the sentiment indicator.We do find a significant positive announcement day effect in Germany.Thus,the immediate price reaction is in the same direction as the long-term effect.This is inconsistent with the rational explanations described above.For the US market there is evidence of a negative publication day effect in the sub-period1987–94.

As in the case of Germany this result is inconsistent with rational explanations of the market response to investor sentiment.In later sub-periods there is no announcement day effect in the US market.This should come as no surprise,because the intermediate-to long-term predictability also largely disappears towards the end of the sample period.

The results for both markets lead us to discard the rational explanations described above.There are several alternative explanations which are consistent with our findings.2One of them is underreaction to information contained in the sentiment measure.A second one is a scenario of mispricing and limited arbitrage.If the sentiment measure is an indicator of mispricing,smart investors who are aware of the predictive power of the sentiment indicator will trade accordingly(and cause an immediate price reaction).If they do not fully arbitrage the predictability away (possibly because of increased noise trader risk)we will observe an immediate price reaction and a long-term effect in the same direction.

The remainder of this paper is structured as follows.Section2summarizes related literature and places our paper in the literature.Section3describes our dataset. In section4,we present the methodology and results of our tests for predictability. Section5describes our tests for the existence of announcement day effects.Section6 concludes.

2.PRIOR LITERATURE

Previous papers have used a large variety of measures to capture the concept of investor sentiment.These measures can broadly be classified into two categories,market-based measures and survey-based measures.3Market-based measures include,but are not limited to,mutual fund flows(Brown et al.,2003;Ben-Rephael et al.,2012),the closed-end fund discount(Elton et al.,1998;Lee et al.,1991;Neal and Wheatley,1998),put-call ratios(Dennis and Mayhew,2002),various measures of trading activity(Barber and Odean,2008;Kumar and Lee,2006)and liquidity(Baker and Stein,2004).Baker and Wurgler(2006)construct a composite sentiment measure based on six underlying proxies.This index has also been used by Stambaugh et al.(2012)and Chung et al. 2Besides those explanations discussed in the text one might also think of explanations based on market frictions such as transaction costs.While this might be a relevant argument at the individual stock level we

do not believe that it is a valid explanation at the level of the liquid indices(S&P500and DAX)that we consider in our paper.

3Several authors have analyzed sentiment indicators extracted from postings on internet message boards. In a recent paper,Sabherwal et al.(2011)find evidence of very short-term(up to2days)predictability. Note,though,that the message-board sentiment indicator is a stock-specific measure while the papers to be reviewed below measure market-wide sentiment.

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904HENGELBROCK,THEISSEN AND WESTHEIDE

(2012).The general result from the studies using market-based sentiment proxies is that high levels of sentiment predict low future returns.Baker et al.(2012)confirm this result in an international study that covers data from six major stock markets. Chung et al.(2012)demonstrate that the predictive ability of sentiment is confined to states of economic expansion.

Survey-based measures assess investor sentiment by asking a set of respondents about their opinion on the direction the stock market will take.This can be done di-rectly as in the American Association of Individual Investors’(AAII)survey(described in detail in Section3(ii)or indirectly as in the Investor’s Intelligence(II)survey which tracks the expectations expressed in market newsletters(see Brown and Cliff,2005). Several authors have analyzed whether survey-based sentiment indicators can predict future returns in the US market.At weekly or monthly forecasting horizons the AAII index is unrelated or moderately positively related to future stock returns(Brown and Cliff,2004;Verma et al.,2008).At longer horizons the relationship becomes negative (Fisher and Statman,2000;Verma et al.,2008).This pattern is consistent with our own results for the period from1987to2001.Results of recent studies using the II survey data arrive at similar conclusions(Fisher and Statman,2000;Brown and Cliff, 2004,2005;Verma et al.,2008).Two older studies(Solt and Statman,1988;and Clarke and Statman,1998),using datasets ending in1985and1995,respectively,do not find predictive ability of the II survey.Schmeling(2007)uses a survey-based sentiment indicator from Germany and also reports evidence of predictability.Schmeling(2009) uses survey-based measures of consumer confidence for18countries and confirms the results that high sentiment predicts low future returns.Chan and Fong(2004)analyze a survey-based sentiment indicator published by a Hong Kong newspaper.They find that the publication of the index has a short-term impact on the prices of small and medium-sized stocks,but not on the prices of large stocks.Predictive regressions are fraught with econometric problems.Most importantly,persistent regressors can cause biased coefficient estimates(see Stambaugh,1986,1999).Brown and Cliff(2005) proposed a bootstrap-based estimation procedure to correct for this bias.We adopt their methodology.

Our paper contributes to the literature in at least two ways.First,our paper is the first to analyze the immediate(i.e.,announcement day)effect and the long-run effect of the publication of sentiment indices on stock returns.As laid out in the introduction,simultaneously analyzing the immediate and long-term effect allows us to discriminate between rational and non-rational explanations for the stock market response to investor sentiment.This is an important but as yet unresolved issue. Brown and Cliff(2005),who document that the Investor’s Intelligence survey data predicts future stock market returns over long horizons,offer two explanations for their results(p.437).The first explanation is that sentiment is related to a priced factor(similar to our expected return news scenario)and the second explanation is that sentiment is irrational.Their results do not allow discrimination between these explanations.Our approach can help to answer this important question. Second,we analyze a longer(1987–2008)and broader(US and Germany)sample than previous papers.We document that the predictive ability of the AAII survey has weakened and,in the sub-period2001-08,even has changed signs.This is difficult to reconcile with risk-based explanations of the market response to investor sentiment.

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MARKET RESPONSE TO INVESTOR SENTIMENT905

3.DATA

(i)German Data

The analysis of intermediate and long-term predictability is based on weekly data. We use survey data from Sentix as our measure of investor sentiment.We prefer to use survey-based sentiment indicators over market-based ones because the publication of the survey results constitutes new information,while market-based indicators offer only aggregate information that were already available.Sentix conducts weekly surveys of institutional and private investors,and currently reaches over2,700registered participants,about800of whom take part in the survey each week.Individual investors constitute on average about76%of respondents,with this percentage generally varying between70%and80%.Voting is possible between Thursday afternoon and Saturday.Participants are asked whether they are bullish,bearish,neutral,or have no opinion with regard to the future trend of the DAX30stock index over the following 1and6months,respectively.

In our analysis we only use data for the6month horizon because the AAII survey that we use in our US sample is also based on a6months forecasting horizon.4 From the individual opinions obtained,Sentix computes the so-called value index, also known as the bull-bear spread.This is defined as

S t=#bullish?#bearish

#total

.

The Sentix index is published every Sunday evening or Monday morning prior to the opening of the market.It is available to all participants,and additionally,since January2004,it has been available through Thomson DataStream and Bloomberg. Furthermore,sub-indices that cover individual and institutional investors,respectively, are made available exclusively to participants.The Sentix data start on February26, 2001and end on June30,2008.For our predictive regressions,we use forecasting horizons of1,4,8,13and26weeks.To this end,we combine the Sentix data with data on the DAX index for the period February26,2001to December31,2008.5 The aim of the predictive regressions is to test whether the sentiment indicator contains information about future returns beyond the information inferable from other publicly observable variables.We therefore control for variables that are known to predict future market returns.We include the return on the DAX30for the previous week,the exchange rate EUR/USD,the interest rate term spread between10year German government bonds and the Euribor3month rate,the credit spread(defined as the spread between yields on A rated corporate bonds of maturities between3 and5years and the mean of3and5year German government bond yields,6the 4The correlation between the1-month forecasts and the6-month forecasts is0.083in levels and–0.157in first differences.The1-month forecasts do not have predictive ability for future stock returns.This finding is consistent with Schmeling(2007).

5We repeated the analysis with the CDAX,a much broader index which comprises all stocks listed on the Frankfurt Stock Exchange.The results were similar to those obtained for the DAX and are thus omitted from the paper.

6The number of corporate bonds issued by German firms and rated Aaa and Baa is too small to reliably estimate the credit spread as the difference between the yields on Baa-rated and Aaa-rated corporate bonds (as we do in our US sample).Therefore,we use the yield difference between A-rated corporate bonds and government bonds instead.

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906HENGELBROCK,THEISSEN AND WESTHEIDE

Table1

Summary Statistics of German Data

Mean Std.Dev.ρiρs,i Se nti x t0.1210.1130.773 1.000

Se nti x t?0.0000.067?0.3010.335 I nnoSe nti x t0.0020.0580.0700.726

r DAX

t?2,t?1

0.0000.0320.0160.048

r S&P500 t?2,t?10.0000.022?0.0540.007

EUR/USD t?1 1.1850.1870.9880.029 Term Spread t?10.0110.0080.986?0.107 Credit Spread t?10.0110.0030.946?0.243 Liquidity Spread t?10.0010.0010.9370.112 Euribor1m t?10.0310.0090.990?0.025 Note:

The table presents summary statistics for the German data.All returns are from Friday close to the next Friday close.Other control variables(the EUR/USD exchange rate,the term,credit and liquidity spread and the Euribor1-month rate)are from Friday.The Sentix index is published on Sunday evenings or Monday mornings.Sentix t denotes the index level, Sentix t denotes its weekly change,and InnoSentix t the unexpected component of the index(the residual of a linear regression of the index on its lagged value and

the lagged DAX return).r DAX

t?2,t?1is the return on the DAX30from week t?2to week t?1,r S&P500

t?2,t?1

is the

return on the Standard&Poors500during the same week.ρi denotes the first-order serial correlation of variable i,ρs,i denotes the correlation between the Sentix index and variable i.

liquidity spread(defined as the spread between the Euribor3-month and1-month rates),and the Euribor1-month rate.For the analysis of announcement day effects of the Sentix index,i.e.,the test whether the publication of the sentiment indicator has an immediate price effect,we use daily data.As the Sentix index is published at the weekend,we consider the return of the DAX30between its closing value on Friday and that on Monday.To this end,we regress daily DAX returns on a variable which is equal to the sentiment indicator on Mondays and zero on all other days.The regression includes lagged DAX returns,lagged S&P500returns(to account for the fact that respondents may participate in the survey until Saturday and may therefore base their opinion on the US stock market return from the previous week)and a Monday dummy (to control for a weekend effect)as control variables.

Table1provides summary statistics of all the variables.The mean of the Sentix index is0.12,indicating that the respondents are,on average,slightly bullish.The mean daily DAX return is very close to zero.The serial and cross correlations(shown in the last two columns of the table)indicate that the Sentix index is highly autocorrelated and depends on the previous values of the DAX index.Both these observations are consistent with the findings of previous research.

(ii)US Data

We use data obtained from the American Association of Individual Investors(AAII). The AAII conducts weekly surveys of its members,the results of which are published every Thursday7morning,before the stock market opens.Participants are asked 7This applies to the period from November1993onwards.Before,the day of publication had been Friday. In case of public holidays,the index is published on the last trading day before that holiday.In our analysis, we take account of the exact publication days.

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Table2

Summary Statistics of US Data

Mean Std.Dev.ρiρs,i AAI I t0.0990.1880.670 1.000

AAI I t t?0.0010.152?0.3430.400 I nnoAAI I t0.0080.135?0.1440.738

r S&P500 t?2,t?10.0010.021?0.0530.134

USD/EUR t?1 1.1680.1490.990?0.198 Term Spreadt?10.0170.0120.9920.026 Credit Spreadt?10.0090.0020.979?0.202 Liquidity Spreadt?10.0270.0120.989?0.132 Treasury bill1m t?10.0170.0080.988?0.152 Note:

The table presents summary statistics for the US data.All returns are for the week prior to the publication of the AAII index.Other control variables(the USD/EUR exchange rate,the term,credit and liquidity spread and the1-month T-bill rate)are fromWednesdays.The AAII index is published on Thursday morning.AAI I t denotes the index level, AAI I t t denotes its weekly change,and InnoAAII t the unexpected component of

the index(the residual of a regression of the index on its lagged value and the lagged S&P return).r S&P500

t?2,t?1 is the return on the Standard&Poors500from week t?2to week t?1.ρi denotes the first-order serial correlation of variable i,ρs,i denotes the correlation between the AAII index and variable i.

whether they expect the direction of the stock market over the following6months to be‘up’,‘no change’,or‘down’,and can participate once during every weekly period ranging from Thursday to Wednesday.We use a value index(bull-bear spread)that is calculated using these data.Our sample covers more than20years.It starts on July24, 1987and extends until June26,2008.

As Table2shows,the mean,standard deviation and first order autocorrelation of the AAII indicator are comparable to those of the German Sentix index.8 The AAII survey does not specify which stock index it refers to.We therefore use the Dow Jones Industrial Average,the Standard&Poors500,the NASDAQ100,and the Russell3000indices.We estimate predictive regressions for forecasting horizons of1, 4,8,13and26weeks.As for the German case,we include other variables known to have predictive power for market returns as control variables.We include the same variables as for the German sample but replace the Euribor rates with Treasury bill rates.Thus, we control for the past week’s return of the stock index in question,the exchange rate EUR/USD(DM/USD prior to the introduction of the Euro),the interest rate term spread between10year US Treasury bonds and the Treasury bill3month rate, the credit spread(defined as the yield spread between Baa and Aaa rated corporate bonds),the liquidity spread(defined as the spread between the US Treasury bill3 month and1month rates)and the US Treasury bill1month rate.

In the analysis of announcement day returns,we again use daily data.We regress daily index returns on a variable which is equal to the sentiment indicator on

8Note that while the AAII index published on Thursday morning is more strongly related to the S&P return over the previous week(ending on the Wednesday prior to publication)in comparison to the German data, the relation is significant only for the later part of our sample.This is most likely due to the fact that, until2000,the AAII survey was conducted by regular mail.This procedure obviously introduces a lag of several days.We find strong support for this conjecture when we estimate the correlation between the AAII index and the S&P return over the previous week separately for the period before and after the change in procedure.Prior to2000the correlation is0.010whereas after2000it is0.287.

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908HENGELBROCK,THEISSEN AND WESTHEIDE

Thursdays,and zero on all other days.The regression includes lagged index returns and a Monday dummy(to control for a weekend effect)as control variables.

(iii)Comparison of US and German Data

Although the AAII and Sentix indices share many similarities there are also important differences.First,the Sentix survey specifies the index on which the survey participants base their forecasts while the AAII survey does not.Second,the population of participants is different.Only retail investors participate in the AAII survey whereas a substantial fraction of institutional investors participate in the Sentix survey.The latter is younger than the AAII survey and is less well known to the general public. This suggests that participants in the Sentix survey are likely to be active traders with a strong interest in financial markets.This may not be generally true for respondents to the AAII survey.There may thus be differences in the degree of sophistication of the survey respondents.

The descriptive statistics shown in Tables1and2reveal that the AAII index is more closely related to lagged stock returns than the Sentix index.The correlation between the AAII index and past S&P500returns is0.134while the correlation between the Sentix index and past DAX returns is only0.048.This is consistent with AAII respondents extrapolating more from past returns when making their forecasts than Sentix respondents.To shed more light on the differences between the Sentix and AAII indices we related them to the time series of flows into mutual funds.The results (not shown)indicate that the AAII index is highly positively correlated with net flows into equity funds while there is no significant correlation for the Sentix index.

The AAII index is published on Thursday while the Sentix is published on Sunday or Monday morning.Thus,the AAII index is already available when the respondents of the Sentix index make their forecasts.It is thus not surprising that the two indices are correlated.The correlation is0.24in levels and0.10in first differences.9

4.PREDICTIVE REGRESSIONS

(i)Results for Germany

In this section we analyze whether investor sentiment,measured using the Sentix survey,is able to predict asset returns for horizons from1to26weeks.As proposed by Brown and Cliff(2005),we use a bootstrap simulation to account for problems caused by overlapping observations and persistent regressors.10We estimate:

(r t+1+···+r t+k)=α(k)+ (k)z t+β(k)S t+ε(k)t,(1) where r t+k denotes the k week-ahead future DAX long return.α(k)is the constant for a forecasting horizon of k weeks,and z t is a vector of the control variables listed

9In unreported results we also find that the AAII index has some predictive ability for the future returns of the DAX index.

10Compare also Brown and Cliff(2005),p.418.Britten-Jones et al.(2011)have proposed an alternative way of dealing with the problems caused by overlapping observations.This procedure,however,does not correct for the bias caused by persistent regressors.We therefore prefer the bootstrap procedure described below.

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MARKET RESPONSE TO INVESTOR SENTIMENT909

Table3

Sentiment Coefficient in k-Week Regressions for Aggregate6Month DAX

Sentiment

OLS Bootstrap

Reg.Horizon?βOLS Sig.level?βSI M Sig.level 1week0.0395**0.0110.0403**0.036 4weeks0.1101***0.0000.1156**0.049 8weeks0.1783***0.0000.1887**0.041 13weeks0.1337***0.0000.15190.194 26weeks?0.04550.712?0.01790.958

Note:

The table presents theβcoefficients of equation(r t+1+···+r t+k)=α(k)+ (k)z t+β(k)S t+ε(k)t obtained from OLS estimation(columns1and2)and bootstrap simulations as explained in the Appendix (columns3and4).Results are presented for forecasting horizons of k=1;4;8;13;26weeks.The control variables are listed in Section3(i).

***,**and*denote statistical significance at the1%,5%and10%levels,respectively.

Table4

Sentiment Coefficient in k-Week Regressions for AAII Sentiment and S&P500

OLS Bootstrap

Reg.Horizon?βOLS Sig.level?βSI M Sig.level 1week0.00240.8100.00290.371 4weeks?0.0159***0.002?0.01420.264 8weeks?0.0252***0.000?0.02230.273 13weeks?0.0433***0.000?0.03890.129 26weeks?0.0729***0.000?0.0651*0.076 Note:

The table presents the coefficients of equation(r t+1+···+r t+k)=α(k)+ (k)z t+β(k)S t+ε(k)t ob-tained from OLS estimation(columns1and2)and bootstrap simulations as explained in the Appendix (columns3and4).Results are presented for forecasting horizons of k=1;4;8;13;26weeks.The control variables are listed in section3(ii).

***,**and*denote statistical significance at the1%,5%and10%levels,respectively.

in Section3(i).S t is the value of the long-term Sentix survey Using the bootstrap procedure,we obtain coefficient estimates and associated p-values based on the distribution of the estimated coefficients.All tests reported in the paper are two-sided. Details of the procedure are explained in the Appendix.

Table3shows the results obtained using the procedure described above.It shows that the aggregate Sentix index,which,on average,consists of roughly three-quarters individual and one-quarter institutional respondents,has predictive power for future DAX30returns for periods from1to8weeks.The bootstrap coefficient estimates are always larger than the OLS estimates,although the differences are small.The results shown in Tables3,4and5reveal that the bootstrapped coefficients are always higher than the OLS coefficients.Stambaugh(1986,1999)has shown that the OLS coefficients are biased,and that the sign of the bias is the opposite of the sign of the correlation between the innovations in the stochastic regressor(the sentiment index in our application)and the lagged innovations of the dependent variable(the

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910HENGELBROCK,THEISSEN AND WESTHEIDE

Table5

Sentiment Coefficient in k-Week Regressions for AAII Sentiment and S&P500-

Sub-periods

OLS Bootstrap

Reg.Horizon?βOLS Sig.level?βSI M Sig.level

07/1987to06/1994

1week?0.0054*0.090?0.00420.662 4weeks?0.0526***0.000?0.0470**0.045 8weeks?0.0699***0.000?0.05860.145 13weeks?0.1158***0.000?0.0974*0.058 26weeks?0.1746***0.000?0.1439*0.052

07/1994to01/2001

1week?0.00150.827?0.00040.926 4weeks?0.0520***0.000?0.0475**0.047 8weeks?0.0550***0.009?0.04660.241 13weeks?0.0618**0.022?0.04810.408 26weeks?0.1118***0.000?0.08800.252

02/2001to06/2008

1week0.01000.3380.0111**0.049 4weeks0.02190.4580.0252*0.078 8weeks0.02000.8970.02570.189 13weeks0.01680.3080.02500.267 26weeks?0.0182***0.000?0.00470.804

Note:

The table presents the coefficients of equation(r t+1+···+r t+k)=α(k)+ (k)z t+β(k)S t+ε(k)t ob-tained from OLS estimation(columns1and2)and bootstrap simulations as explained in the Appendix (columns3and4).Results are presented for forecasting horizons of k=1;4;8;13;26weeks.The control variables are listed in section3(ii).

***,**and*denote statistical significance at the1%,5%and10%levels,respectively.

stock index returns).This correlation is positive(about0.05)in our US and German samples.Thus,the OLS coefficients are downward biased and the bootstrapped coefficients are thus larger than the OLS estimates.In spite of their larger numerical values,the bootstrap coefficients have higher p-values.Our interpretation of the results will be based on the more conservative bootstrap procedure.

The sign of the relationship between the sentiment indicator and future DAX returns is positive.From the standard deviation of the Sentix index shown in Table1 and the coefficient of the predictive regression shown in Table3,it follows that a change of one standard deviation in the Sentix index is associated with a change in the DAX of almost2%over an8-week horizon.This is not only statistically,but also economically significant.

These results could indicate that the sentiment index foreshadows future misvalua-tion.Interestingly,the coefficient in the26-week predictive regression is the smallest of all the five predictive regressions.This pattern is consistent with the sentiment index indicating a future misvaluation which is subsequently corrected in the second half of the26-week prediction period.Alternatively,the sentiment indicator may contain

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MARKET RESPONSE TO INVESTOR SENTIMENT911 information on future expected returns.The analysis of the announcement day effects in Section5(i)will allow us to discriminate between these interpretations.As previously noted,if the sentiment indicator contains information about future expected returns, the announcement day effect should have a sign opposite to that in the predictive regressions.

(ii)Results for the US

We conduct the same analysis as for the Sentix data for the American Association of Individual Investors sentiment index.We use the Standard&Poors500index as the index whose return is to be predicted.However,the results are qualitatively identical for the Dow Jones Industrial Average,the NASDAQ100,and the Russell3000indices. First,we apply our procedure to the whole period from1987to2008.The results, shown in Table4,indicate that US individual investor sentiment is inversely related to future S&https://www.sodocs.net/doc/49495791.html,ing the bootstrap results,this relationship is significant only for the26-week ahead forecast.These findings are consistent with those of Fisher and Statman(2000)and Brown and Cliff(2005).These authors also find an inverse relationship between sentiment and future returns for samples covering the periods 1987–98and1963–2000,respectively.

The record of the AAII sentiment index is much longer than that of the Sentix index.In order to check whether the results are stable over time we split the AAII data into three sub-periods of approximately equal length and apply our bootstrap procedure to each of these sub-samples.The third sub-sample coincides with the period of our German sample.Table5shows that the negative relationship between the AAII index and subsequent returns disappears over time.11It is pronounced and significant in three out of five cases in the1987–94sample.In the1994–2001sample the coefficients retain their sign but are smaller in magnitude and(when considering the bootstrap results)mostly insignificant.In the final sub-period,most coefficient estimates are positive,and the coefficients for the one-and four-week horizons are significant at the10percent level.In this sub-period,then,the results for the US are qualitatively similar to those obtained for the German case documented in Table3. We also found coefficients that were unanimously positive and significant for short forecasting horizons in that case.We can only speculate about the reasons for the change in the predictive ability of the AAII index over time.One possible explanation is the change in the way the AAII survey is conducted.Originally,the votes were collected by post which resulted in a lag of some days.This lag ceased when AAII began to collect the votes via the internet in2000.The change in the procedure may also have affected the composition of the sub-group of AAII members that respond to the survey. Finally,it is conceivable that the characteristics of the AAII members themselves have changed over time.As noted above,for the period2001–08we find positive coefficients in the predictive regressions both for Germany and the US.Although the signs of the coefficients are similar for the two countries,their magnitude is not.Consider the 8-week forecasting period as an example.As noted in the previous section a change of one standard deviation in the Sentix index is associated with a2%change in 11Similar findings are reported by Neuhierl and Schlusche(2011).They analyze the predictive ability of a large set of market timing rules in the US market.Applying a test procedure that corrects for data snooping bias they find that the best rules have predictive power in the period1981to1994,but lose their predictive power in the later period1995–2007.

C 2013John Wiley&Sons Ltd

912HENGELBROCK,THEISSEN AND WESTHEIDE

the DAX over an8-week horizon.The corresponding figure for the US is less than 0.5%.It thus appears that the predictive power of the Sentix index is stronger than that of the AAII index.This may be due to the differences in the populations of the respective participants and their degree of sophistication as discussed in Section3(iii).

5.ANNOUNCEMENT DAY EFFECTS

(i)Results for Germany

Having established that the German investor sentiment survey Sentix is indeed able to predict the future movements in the DAX index,we now test whether the market reacts to the publication of the sentiment indicator.To this end,we regress daily DAX

log returns r DAX

t?1,t on their first lag12and on the variable Sentiment t which captures the

information content of the sentiment indicator.Because the Sentix index is published on Sunday evenings or on Monday mornings prior to the start of trading,the variable Sentiment t is non-zero on Mondays and zero from Tuesdays to Fridays.

Respondents to the German survey can submit their statement after observing the closing prices on the US stock market.We therefore include the lagged log returns

of the S&P500index,r S&P500

t?2,t?1in our regression.Finally,we include a Monday dummy

1Monday

t in order to capture possible day-of-the-week effects.13

For daily returns,problems induced by serial correlation are not an issue.However, the pattern of OLS residuals indicates strong ARCH effects.We therefore estimate a GARCH model.Likelihood ratio tests suggest that a GARCH(1,1)specification is appropriate.We estimate the following equations:14

r DAX t?1,t =a0+a1Sentiment t+a2r DAX

t?2,t?1

+a3r S&P500

t?2,t?1

+a41Monday

t

+e t.

σ2

t

=b0+b1e2

t?1

+b2σ2

t?1

.

We estimate three specifications.In the first,sentiment is measured as the level of the Sentix value index.The second specification includes the change in the value index rather than its level.The third specification only uses the unexpected change in the value index.We obtain the unexpected change by first regressing the sentiment index on its own lagged values and lagged DAX and S&P500returns and then using the residuals from this regression.15This procedure is implemented using expanding 12The DAX index is calculated from the prices in Xetra,the by far most liquid market for German stocks.

Until November2003trading in Xetra closed at8pm.Since then,however,trading in Xetra closes at5.30 pm,while trading on the floor of the Frankfurt Stock Exchange(which coexists with Xetra)continues until 8pm.When survey respondents submit their opinion during the week end they know the prices from floor trading.Therefore,from November2003onwards,the lagged DAX return included on the right-hand side is the return of an index called Late DAX.It is based on the same formula and weighting scheme as the DAX but uses the prices from the floor of the Frankfurt Stock Exchange.

13If we omitted the lagged S&P500returns,the sentiment indicator could be significant merely due to the possibility that it serves as a proxy for the US stock returns after the close of trading in Germany.

14As mentioned previously the Sentix index is published on Sunday evening or Monday morning prior to the opening of the market(time index t).We analyze whether the publication of the Sentix index affects the DAX return from Friday’s close(time t–1)to Monday’s close(t).

15We also estimate a version where we included,as additional explanatory variables,the short-term interest rate,liquidity spread,credit spread,term spread as well as the EUR/USD exchange rate in the first-pass regression.The results are similar and are thus omitted from the paper.

C 2013John Wiley&Sons Ltd

MARKET RESPONSE TO INVESTOR SENTIMENT 913

Table 6

Estimation Results for Daily DAX Log Returns of Closing Prices

Specification

(1)(2)(3)Coef.Coef.Coef.Variable

(|τ–στατ.|)(|τ–στατ.|)(|τ–στατ.|)Sentix t

0.012**(2.12) Sentix t

0.025**(2.52)InnoSentix t

0.025**(2.30)r DAX t ?2,t ?1

?0.166***?0.166***?0.182***(5.98)(5.83)(5.99)r S &P 500t ?2,t ?10.285***0.287***

0.289***(8.91)(8.51)(8.05)1Monday t ?0.0017e-043e-04(1.27)(1.14)

(0.51)Const .6e-04**

6e-04**

7e-04**

(2.33)(2.32)(2.52)

Note:The table shows the results of a GARCH(1,1)with mean equation r DAX t ?1,t =a 0+a 1Sentiment t +a 2r DAX t ?2,t ?1+

a 3r S &P 500t ?2,t ?1+a 41Monday t +e t .r DAX t ?1,t is the return on the DAX index,r S &P 500t ?2,t ?1is the return on the S&P 500index,Se nti x t is equal to our sentiment measure on Mondays and zero else,and 1Monday t is a dummy variable that is set to one on Mondays.We use three sentiment measures,the level of the Sentix index (column 1),the first difference (column 2)and the residual from a regression of the Sentix index on its lagged value and the lagged DAX and S&P 500returns (column 3).***,**and *denote significance at the 1%,5%,and 10%level,respectively.

windows.Thus,the first-pass regression used to identify the unexpected component of the sentiment index only uses information available at time (t ?1).16Results are presented in Table 6.

We find a positive and significant announcement day effect irrespective of the specification used.Thus,all three sentiment variables are significantly positively correlated to daily closing log returns.Hence,the market appears to react to the publication of the investor sentiment index.The DAX increases after a rise and decreases after a fall in the sentiment https://www.sodocs.net/doc/49495791.html,gged index returns are also significant,while we find no clear evidence in favour of a Monday effect on the German stock market.

The announcement day effect is positive and thus has the same sign as the inter-mediate term predictability documented in Section 4(i).This finding is inconsistent with the idea that the sentiment indicator provides information about future expected returns.If it did,we would expect the announcement day effect to have the opposite sign to that found in the predictive regressions for the intermediate term.Our results thus support interpretations of the predictive power of sentiment indicators that are related to under-or over-reaction or misevaluation.

16We use the data for 2001to initialize the procedure.The first observations included in the second-pass regression are those for January 2002.Therefore,there are fewer observations in model 3than in models 1and 2.

C 2013John Wiley &Sons Ltd

914HENGELBROCK,THEISSEN AND WESTHEIDE

Table 7

Estimation Results for Daily S&P 500Log Returns of Closing Prices

Specification

(1)(2)(3)(1)(2)(3)Coef Coef.Coef.Coef (|t ?stat.|)Coef Variable (|t ?stat.|)(|t ?stat.|)(|t ?stat.|)(|t ?stat.|).(|t ?stat.|)

07/1987to 06/2008

07/1987to 06/1994AAI I t

0.000?0.005**(0.17)(2.43) AAIIt t

?0.001?0.003(0.77)(1.23)InnoAAI I t

?0.000?0.004*(0.06)(1.71)r S &P 500t ?2,t ?1?0.000?0.007?0.0070.0060.0030.011(0.43)(0.48)

(0.47)(0.20)(0.10)(0.46)1Monday t 0.0000.0000.0000.0010.001?0.001**(1.15)(1.17)

(1.40)(1.22)(1.33)(2.18)Const .0.000**

0.000***

0.000***0.0000.0000.000(3.50)

(3.36)(3.06)(1.58)(1.28)(0.42)07/1994to 01/200102/2001to 06/2008AAI I t

?0.0010.002(0.31)(0.86) AAII t

0.002?0.001(0.54)(0.49)InnoAAI I t

0.0010.001(0.24)(0.30)r S &P 500t ?2,t ?10.0410.041

0.041?0.061**?0.061**?0.061**(1.53)(1.54)(1.54)(2.40)(2.40)(2.39)1Monday t ?0.000?0.000?0.0000.0000.0000.000(0.62)(0.60)

(0.58)(0.58)(0.44)(0.44)Const .0.001***

0.001***

0.001***

0.0000.0000.000(4.04)(4.32)(4.23)(0.98)(1.28)(1.28)

Note:The table shows the results of a GARCH(1,1)with mean equation r S &P 500t ?1,t =a 0+a 1Sentiment t +a 2r S &P 500t ?2,t ?1+a 31Monday t +e t .The top left panel shows the results for the whole period,the other panels those for the sub-

period indicated at the top of each panel.r S &P 500t ?1,t is the return on the S&P 500index,Se nti x t is equal to our sentiment measure on Thursdays and zero else,and 1Monday t is a dummy variable that is set to one on Mondays.We use three sentiment measures,the level of the AAII index (column 1),the first difference (column 2)and the residual from a regression of the AAII index on its lagged value and the lagged S&P 500return (column 3).***,**and *denote significance at the 1%,5%,and 10%level,respectively.

(ii)Results for the US

We conduct a similar analysis to that described above for the AAII sentiment survey.17Remember from Section 4(ii)that we found negative,but mostly insignificant coef-ficients in the predictive regressions over the full sample period.Consistent with this result,the first panel of Table 7shows that,for the whole period,there is no significant announcement effect on the day the AAII sentiment is published.By considering the 17Model 3again uses an expanding-window procedure.The first year of data (July 1987–June 1988)is used to initialize the procedure,the analysis of the announcement day effects starts in July 1988.

C 2013John Wiley &Sons Ltd

MARKET RESPONSE TO INVESTOR SENTIMENT915 three sub-samples,we find results that mirror those of the predictive regressions shown in Table5.The publication of the sentiment index triggers a negative announcement day effect in the first sub-sample.The respective coefficient is significant(at the10% level or better)in two out of the three specifications.We do not find a significant announcement day effect for the later sub-samples.This is not surprising because the predictive regressions presented earlier led to the conclusion that the AAII index is largely unrelated to futurereturns in these sub-periods.The announcement day effect in the first sub-period has the same sign as that of the coefficients in the predictive regressions.The results for the US,like those for Germany,are thus inconsistent with the expected return news scenario.Rather,they support the interpretation that investor sentiment is related to under-or over-reaction or misvaluation.

6.CONCLUSION

Previous research has shown that sentiment indicators predict future returns.This predictive ability can be rationally explained when the sentiment indicator contains news about expected returns.In this case,however,there should be an immediate price reaction to the publication of the sentiment indicator that is in the opposite direction as the medium-to long-term predictability.Note that the intermediate and long-term predictability cannot be a rational response to news about future cash flows. Information about future cash flows would result in an immediate share price reaction but no long-run effect.If,however,there is underreaction to cash flow news we would expect to see an immediate share price reaction and a long-term effect in the same direction.

The present paper is the first to empirically analyze whether an immediate market reaction can be identified in the data,and whether the sign of such a reaction corresponds to the sign of the intermediate and long-term predictive ability.In order to investigate these matters,we use survey-based sentiment indicators from the US(the AAII sentiment index)and for Germany(the Sentix index).In a first step,we replicate earlier results showing that the sentiment indicators do indeed have predictive power for future stock market returns over the intermediate term.We further document that the predictive power of the AAII index has largely disappeared in recent years.

In the second step of our analysis,we use event study methodology to test whether the daily index returns respond to the publication of the sentiment indicator.We do find a significant positive announcement day effect in Germany.This pattern is inconsistent with the rational explanation based on expected return news.Rather,it is consistent with underreaction to new information or mispricing and limited arbitrage. Smart investors are aware of the predictive power of the sentiment indicator and trade accordingly.However,they do not fully arbitrage the predictability away,possibly because of increased noise trader risk.For the US market,there is evidence of a negative publication day effect in the sub-period1987–94.In later sub-periods,there is no significant publication day effect.This is unsurprising,because the intermediate to long-term predictability also disappears towards the end of the sample period.

Notwithstanding the differences between the results for Germany and the US,the results for the two countries share one characteristic.They are both consistent with underreaction to new information or a mispricing interpretation of the predictive C 2013John Wiley&Sons Ltd

916HENGELBROCK,THEISSEN AND WESTHEIDE

power of sentiment,and inconsistent with the hypothesis that the sentiment indicator contains information about future expected returns.

APPENDIX

Similar to Brown and Cliff(2005),we regress future k-week returns on the current value of the sentiment index and control variables

(r t+1+···+r t+k)=α(k)+ (k)z t+β(k)S t+ε(k)t(1) where the variables are defined as in Section4(i).The fact that we use overlapping observations for the regressand induces MA(k?1)tructure in the error terms under the null hypothesis thatε(1)is serially uncorrelated.Since robust standard errors, suggested by Hansen and Hodrick(1980),are known to perform poorly in small samples and the existence of persistent regressors leads to a bias in the coefficient estimates,we opt for a simulation approach to account for the bias and to obtain appropriate critical values for inference.

We replicate the bootstrap simulation of Brown and Cliff(2005,p.437),and start by estimating a VAR(1)model for y t=r t S t z t.After the estimation,we impose the null hypothesis that the Sentix sentiment survey does not predict1-week returns, by setting the appropriate element in the coefficient vector of the return equation equal to zero.We then adjust the constant in the constrained model by adding the contribution of average sentiment to the returns obtained by multiplying the original slope value of the sentiment by the average sentiment level to the constant of the return equation.We bootstrap the residuals from the calibration estimates to account for heteroscedasticity,and generate and discard100additional observations to delete possible starting effects.In each of the replications,a number equal to our original sample of simulated observations is used to estimate our equation of interest for horizons from1to26weeks.Analogous to Brown and Cliff,we repeat the procedure 10,000times in order to obtain a distribution of the values of?β(k).

In order to gauge the statistical significance of the coefficient estimates we com-pare the sentiment coefficient of the original model with the simulated probability distribution in order to obtain p-values.Because these p-values are based on the actual distribution of the residuals,they are robust to deviations from the normal distribution.

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