CONSUMER CONFIDENCE AND ASSET PRICES: SOME EMPIRICAL EVIDENCE∗ Michael Lemmon University of Utah Evgenia Portniaguina University of Oklahoma ∗ We are grateful to Avner Kalay, Uri Lowenstein, Michael Cliff, Nicholas Bollen, Scott Linn, Bill Megginson, and the seminar participants at the University of Utah, University of Houston, and University of Oklahoma for helpful comments and suggestions. We thank Kenneth French, Malcolm Baker, Jeffrey Wurgler, Stefan Nagel, and Ludovic Phalippou for providing data. All errors are ours. Corresponding author: Evgenia Portniaguina, Michael F. Price College of Business, University of Oklahoma, 307 West Brooks, room 205A, Adams Hall, Norman, OK 73019-4005, [email protected], (405) 3257727 (phone), (405) 325-7688 (fax). Consumer Confidence and Asset Prices: Some Empirical Evidence Abstract We estimate fundamental and sentiment components of consumer confidence. In a timeseries framework, we model the returns of equity portfolios sorted on various characteristics as a function of the market factor, allowing market beta to vary with the fundamental component of confidence. After controlling for the time variation of betas, we study the time variation of the pricing error with sentiment. Over the last 25 years (which represent relatively active household participation in the equity markets), consumer confidence forecasts returns in a manner consistent with the sentiment – based behavioral hypothesis. 2 Introduction Does investor sentiment affect stock prices? A number of papers provide evidence on whether various measures of investor sentiment predict stock returns in an attempt to explain various pricing ‘anomalies’ such as the equity premium puzzle, the size premium, the closed-end fund puzzle, etc. Many of these papers focus on small stock returns. The reason why small stocks are a natural candidate to be affected by sentiment is that they are owned predominantly by individual investors, while large stocks tend to be held primarily by institutions (e.g., Nagel (2003)). In addition, higher trading costs and other frictions are more likely to limit arbitrage in small stocks, making them more susceptible to variations in irrational investor sentiment. Following this logic, Lee, Shleifer, and Thaler (1991) find that closed-end fund discounts are correlated with small stock returns. However, Chen, Kan, and Miller (1993) and Do ukas and Milonas (2002) provide evidence to the contrary. Neal and Wheatley (1998) find that closed-end fund discounts and net mutual fund redemptions predict the size premium, especially at long horizons. Brown and Cliff (2004) use the data on investor sentiment from a survey conducted by the American Association of Individual Investors and do not find evidence that fund discounts reflect investor sentiment. They form a measure of sentiment using the survey data together with several technical variables and find that sentiment has little forecasting power for near-term returns. Baker and Wurgler (2003) design a measure of investor sentiment using several market variables, which include fund discounts, number of IPO’s, NYSE turno ver, etc. They show that the returns on equity portfolios with different “salient ” (e.g., age, size, dividend payout, distress) investment characteristics are sensitive to changes in investor 1 sentiment. Baker and Wurgler report that periods of low sentiment are followed by high returns on small, young, unprofitable, and dividend-nonpaying stocks. 1 All in all, the evidence on the issue remains controversial. This paper contributes to the debate on the relationship between investor sentiment and equity returns using data on consumer confidence as a measure of sentiment. Participation (either direct or indirect) of individual households in financial markets has increased substantially over recent years suggesting that measures of consumer confidence may be a useful barometer of how individual investors feel about the economy and the financial markets. Two surveys of consumer sentiment have been conducted in the United States. One is collected by the Conference Board (the Index of Consumer Confidence) and the other is independently conducted by the University of Michigan Survey Research Center (the Index of Consumer Sentiment). Both surveys poll a large number of households on their personal financial situation, their expectations regarding the U.S. economy, and their propensity to consume major household items. The Index of Consumer Confidence is included in the list of ten major leading economic indicators by the Conference Board, having proven useful in predicting past recessions. Several papers (Acemoglu and Scott, 1994; Carroll et al., 1994; Bram and Ludvigson, 1998) find that consumer confidence predicts future household spending. According to the University of Michigan Survey Research Center, consumers anticipate changes in interest rate, unemployment, inflation, real GDP, and house sales (from contemporaneous to nine months ahead) with 1 Baker and Wurgler (2003) report a “U-shaped difference” for value premium conditional on investor sentiment. When sentiment is low, their evidence suggests that both extreme BM -sorted portfolios (high growth and high value) have higher returns following a period of low sentiment, relative to the medium – BM portfolios. We do not find that growth and value stocks respond differently to changes in consumer confidence. 2 correlations ranging from 0.74 to 0.9. Figure 1 shows that consumer expectations are good predictors of business cycle peaks and troughs. While being well known as an economic indicator, consumer sentiment has not received attention in the literature as a potential measure of investor optimism. 2 In this paper, we adopt a time series framework and show that consumer confidence helps to explain the time variation in equity portfolio returns, particularly the size premium. The methodology we adopt is as follows. First, we regress consumer confidence on a set of macroeconomic variables. Although the regression has a high R2 (around 0.6 – 0.8 depending on the specific confidence index), a substantial portion of confidence remains unexplained. We treat the residual from this regression as our measure of excessive sentiment (optimism or pessimism) unwarranted by fundamentals. One general criticism that applies to our approach is that we have to take a stand on the information set used in order to separate the fundamental component. Hence we try to make our information set as large as feasible given the number of observations in our sample. Our information set includes dividend yield, default spread, short-term interest rate, growth in real GDP, consumption, labor income, unemployment rate, and inflation, as well as the lags (leads) of these variables. We believe that this information set is as comprehensive as those commonly used in the literature. 3 We employ the fundamental and sentiment components of consumer confidence to explore the time series behavior of the conditional betas and the pricing errors for the size-sorted Fama-French portfolios. Our main findings are as follows. After 1977, we 2 Charoenrook (2002) studies the predictive ability of the Index of Consumer Sentiment for the aggregate market returns in the U.S. 3 See, e.g. Chen, Roll, and Ross (1986), Nelson (1976), Lee (1992), Chen (1991), Fama and French (1988), Baker and Wurgler (2003), Lewellen and Nagel (2003). 3 find that the conditional market betas of small stocks exhibit larger time variation than those of large stocks and tend to be higher following quarters of low confidence. However, after we allow for the time variation of the conditional market betas, we still find that the pricing errors vary over time with the sentiment component of confidence. Consistent with the view that investor sentiment affects stock prices, we find that the pricing errors of small stocks exhibit larger time variation than those of large stocks and are higher following quarters of low sentiment. Thus we report evidence that investors appear to overvalue small stocks relative to large stocks during periods when consumer confidence is high, and vice versa. Our results are robust to the time period over which we estimate the fundamental and sentiment components; to the choice of consumer confidence measure; and to the inclusion of the sentiment measure from Baker and Wurgler (2003) in our regression. We also compare our residua l measure of behavioral sentiment to that used by Baker and Wurgler (2003). Over the period from 1962 – 1976 the two sentiment measures are actually negatively correlated. Over the period 1977 – 2002, and especially towards the end of our sample period (the 1990s), we find that the two measures align much better than in the earlier period. More interestingly, we find that prior to 1977 the Baker and Wurgler sentiment measure forecasts the size premium, while consumer confidence shows little predictive power. In contrast, in the post-1977 period, the sentiment measure based on consumner confidence exhibits strong ability to forecast the size premium, whereas the Baker and Wurgler measure exhibits essentially no forecasting power over this time period. We conjecture that this finding might be due to the fact that consumers may not have represented investors in the earlier years of our sample. 4 Finally, we perform the same time-series analysis for other portfolio sorts. We sort equity portfolios by dividends (payers versus non-payers), earnings growth, sales growth, and institutional ownership. Our findings exhibit the same pattern for those portfolio sorts as for the size-sorted portfolios. We find that, after controlling for time variation in beta, quarters of high investor optimism are followed by lower returns on dividend non-paying stocks, stocks with low earnings growth, stocks with low sales growth, and stocks with low institutional ownership. The results based on institutional ownership provide some additional evidence that is consistent with the idea that individual investor sentiment is an important determinant of mispricing in stocks where arbitrage may be more limited. The rest of this paper is organized as follows. The next section gives a detailed description of the consumer confidence survey data along with the other data used in our study. Section 2 discusses the ability of consumer confidence to predict macroeconomic activity. Section 3 presents the initial evidence on size premium. Section 4 describes the fundamental and the sentiment components of consumer confidence and addresses several robustness checks. Section 5 discusses the forecasting ability of the components of consumer confidence with regards to various equity portfolios. Section 6 concludes. 1. Data The University of Michigan survey of consumer sentiment started in 1947 on a quarterly basis for months 2, 5, 8, and 11. Beginning in 1978, the index is available on a monthly basis. The main reason for increasing the sampling frequency in 1978, according to the University of Michigan Survey Research Center, was the increased 5 frequency in the reporting of other macroeconomic data around that time. The final survey results for each month become available either at the end of that month or at the beginning of the following month. The survey is sent to 500 households, and the respondents are asked the following questions: (1) Would you say that you (and your family living there) are better off or worse off financially than yo u were a year ago? (2) Do you think that a year from now, you (and your family living there) will be better off financially, or worse off, or about the same as now? (3) Now turning to business conditions in the country as a whole – do you think that during the next twelve months, we’ll have good times financially or bad times or what? (4) Looking ahead, which would you say is more likely – that in the country as a whole we’ll have continuous good times during the next five years or so or that we’ll have periods of widespread unemplo yment or depression, or what? (5) Do you think now is a good or bad time for people to buy major household items? The relative score for each question is then calculated as the percent of favorable replies minus the percent of unfavorable replies, plus 100, rounded to the nearest whole number. These relative scores for questions (1) and (5) compose the Index of Current Economic Conditions, the relative scores for questions (2), (3), (4) compose the Index of Consumer Expectations, and all five questions compose the overall Index of Consumer Sentiment. We have the data on all five individual survey questions (hereafter Q1 through Q5), two sub-indexes (hereafter CI for current conditions and EI for expectations) and the composite sentiment index (hereafter ICS), starting in the 1940’s (the precise beginning of the sample varies for the individual questions). 6 The Conference Board survey is available on a shorter time interval. The survey began on a bimonthly basis in 1967 and turned into a monthly poll in 1977. 4 However, a clear advantage of this survey relative to the one conducted by the University of Michigan is the much larger pool of respondents. The survey is mailed to 5,000 households. Bram and Ludvigson (1998) ran a horse race between the Conference Board and the University of Michigan surveys and reported that overall, the Conference Board index does a better job forecasting future household spending. The survey is similar in spirit to that of the University of Michigan, although the questions are somewhat different. Respondents are asked the following five questions: (1) How would you rate present general business conditions in your area? (2) What would you say about available jobs in your area right now? (3) Six months from now, do you think business conditions in your area will be better, same or worse? (4) Six months from now, do you think there will be more, same or fewer jobs available in your area? (5) Would you guess your total family income to be higher, same, or lower six months from now? The scores for each question are calculated as the percent of favorable replies divided by the sum of favorable and unfavorable replies. The scores for questions (1) and (2) compose the Current Index, the scores for questions (3), (4), (5) compose the Expectations Index, and all five questions compose the overall Index of Consumer Confidence. The final results for each survey month become available on the last Tuesday of the following month. For this survey, we have the data on the overall Index of Consumer Confidence and the Expectations Index only (hereafter CBIND and CBEXP). All our tables report the results 4 It is interesting to note that both surveys of consumer confidence switched to monthly sampling frequency in 1977-78. Even though the survey questions stayed exactly the same as before (we could not find any evidence to the contrary), still the increase in sampling frequency may have indicated that the index of consumer confidence has become a more meaningful and more closely followed indicator. 7 for the major confidence indexes and omit those for the individual survey questions in the interest of parsimony. Despite the obvious similarities in the two survey methodologies, we should mention several differences important for our study. First, the Current Index of the University of Michigan is somewhat backward- looking, since the respondents are asked to compare their present situation to that one year before. Second, the University of Michigan survey asks specifically about current buying conditions, whereas the Conference Board survey does not. Third, the Expectations Index of the University of Michigan measures expectations over a longer term (one to five years) than the similar index from the Conference Board (six months ). Fourth, the Conference Board index is considerably more focused on job availability, whereas the other survey asks generally about financial situation. Fifth, the University of Michigan survey asks about the economic conditions in the country as a whole, while the Conference Board survey focuses on the respondent’s specific area of residence. These differences substantiate the need to test the robustness of our results to the use of either survey. It is important to note that the results of consumer confidence surveys are not fully observable at the end of the survey month and generally become fully observable only during the month following the survey. This delay applies both to the University of Michigan survey and (especially) to the Conference Board survey. Therefore, we lag all confidence observations by one month. For example, we use consumer confidence level reported for November to forecast returns over the first quarter of the following year (January through March). This way, we use observations for both indexes for Februa ry, May, August, and November of each year in the sample. This procedure leaves 8 negligibly few observations prior to 1977 for the Conference Board index, since it was collected bi- monthly before then. Regressing the consumer confidenc e indexes on monthly dummies does not reveal significant seasonality in any index, and none of the indexes exhibit noticeable trends. We employ several macroeconomic variables, either as controls or as dependent variables, observed quarterly and measured in percent : default spread (DEF), measured as the difference between the yields to maturity on Moody’s Baa-rated and Aaa-rated bonds; yield on 3- month Treasury bill (YLD3); dividend yield (DIV), measured as the total cash ordinary dividend of the CRSP value-weighted index over the last four quarters, divided by the value of the index at the end of the current quarter (as in Fama and French, 1988); GDP growth (GDP), measured as 100 times the quarterly change in the natural logarithm of chained (1996 dollars) GDP; consumption growth (CONS), measured as 100 times the quarterly change in the natural logarithm of personal consumption expenditures; labor income growth (LABOR), 100 times the quarterly change in the natural logarithm of labor income, computed as total personal income minus dividend income, per capita, deflated by PCE deflator; unemployment rate (URATE), seasonally adjusted, as reported by the Bureau of Labor Statistics, averaged over the most recent three months; growth in unemployment rate (URCHG), measured as the difference between the end-of-quarter and beginning-of-quarter level of unemployment rate; inflation rate (CPIQ), from CRSP, averaged over the most recent three months. As our measure of the size premium in stock returns, we use the difference between the returns on the smallest and the largest Fama-French size decile portfolios 9 (M110). We also look at the portfolios sorted according to other salient characteristics. We sort equity portfolios into dividend payers and non-payers and consider the return on dividend non-payers less the return on dividend payers (DV110). We also consider the return on the lowest decile less the return on the highest decile in earnings growth (ER110), sales growth (SG110), and institutional ownership (IO110). The monthly returns on all equity portfolios are averaged over each quarter months and measured in percent. All our observations are non-overlapping. Tables 1 and 2 summarize the descriptive statistics and the correlations. Both tables show the numbers for the pre-1977 and the post-1977 sub-sample s. Despite the differences in the consumer confidence surveys conducted by the Conference Board and the University of Michigan, their respective indexes are highly correlated. The means and standard deviations of the confidence variables, as well as their correlations with each other are comparable over the pre – 1977 and post – 1977 sub-periods. Most of the macroeconomic variables show strong contemporaneous correlations with consumer confidence, suggesting that consumer confidence is related to econo mic activity. 2. Forecasting future economic activity Previous evidence suggests that consumer confidence indicators forecast future economic activity. For example, Bram and Ludvigson (1998) perform a detailed comparison between the two U.S. consumer sentiment surveys and report that consumer sentiment forecasts various categories in future household spending, with the Conference Board indicator doing a better job overall. The University of Michigan Survey Research Center reports that consumers assess future economic conditions rather accurately. The 10 corresponding correlation coefficients are: 0.74 for changes in interest rate (six months ahead); 0.80 for unemployment rate (nine months ahead); 0.90 for CPI (three months ahead); 0.90 for real GDP growth (contemporaneous); 0.77 for house sales (six months ahead); 0.73 for vehic le sales (six months ahead). 5 We test the forecasting ability of consumer confidence for quarterly GDP growth, consumption growth, labor income growth, the unemployment rate, and the change in the unemployment rate. Table 3 reports the results. It is worth noting that the predictive ability of consumer confidence is strong in the post – 1977 period only. The components of consumer confidence that measure expectations (EI, CBEXP) do a particularly good job predicting future economic activity, especially consumption growth and labor income growth, as measured by the incremental adjusted R2 . 6 On the other hand, the index of current economic conditions (CI) has poor predictive ability for future economic activity, either in terms of statistical significanc e or in terms of the incremental R2 . Another way to look at the relationship between consumer confidence and the economy is to regress the level of confidence on a set of macroeconomic variables. The results are in Table 4. As explanatory variables, we use dividend yield, default spread, 3month Treasury bill yield, GDP growth, consumption growth, labor income growth, CPI growth, and change in unemployment rate. All explanatory variables are measured contemporaneously with consumer confidence. For robustness, we also estimate a similar regression with the independent variables leading by one quarter. The results are 5 This information is from the University of Michigan Survey Research Center website. The reported correlations are based on separate questions asked specifically about inflation, interest rates, etc., which are not a part of the Index of Consumer Sentiment. 6 We used our data to run tests similar to Bram and Ludvigson (1998). Our results are similar to theirs. Adding four lags of confidence improves forecasting ability for future consumption substantially when we use the Conference Board index; and insignificantly if we use the University of Michigan index. 11 qualitatively the same and are not reported here. The adjusted R2 in Table 4 is high enough to suggest that at the very least, consumer confidence contains a certain fundamental component that is rooted in true economic fundamentals. 3. Consumer confidence and the size premium If consumer confidence reflects individual investor beliefs, then both the rational and the behavioral hypotheses of asset pricing suggest a negative relationship between consumer confidence and subsequent size premium. For example, Chan and Chen (1991) and Jagannathan and Wang (1996) argue that small stocks contain a larger proportion of distressed firms and hence their conditional market betas should be more responsive to changes in the business cycle than those of large stocks. Hence to the extent that consumer confidence reflects variation in (a portion of) the market risk premium, we expect a higher size premium following a decline in the confidence level. On the other hand, according to Daniel, Hirshleifer, and Subrahmanyam (1998), overconfidence in one’s own private information may lead one to overvalue assets in times of high confidence and to undervalue them in times of low confidence because investors fail to properly consider public information. Since small stocks are mostly individually owned the limits to arbitrage make such stocks more likely to sustain misvaluation. To the extent that consumer confidence reflects irrational investor sentiment, we expect a widening in size premium after a drop in confidence. After 1977, our findings are consistent with both hypotheses. The results are in Table 5. We consistently observe a strong negative relationship between consumer confidence and the subsequent quarter’s size premium. The incremental R2 ranges from 12 0.03 to 0.10. Interestingly, in contrast to the results obtained for the macroeconomic variables, this time the predictive power is strong for the index of current conditions (CI) with an incremental R2 of 0.07. An improvement in consumers’ assessment of the current conditions by one standard deviation leads to a drop of about 1.25% per month in the average monthly size premium over the next three months. This finding suggests that the forecasting ability for the future equity returns may go beyond the mere reflection by consumers’ responses of their expectations of the fundamental economic activity. We find no relationship between confidence and size premium in the pre – 1977 sub-period. The results are strikingly different for the two sub-periods in terms of sign, statistical significance and R2 . A possible explanation for these different results may be that consumer confidence was not representative of investor beliefs prior to the mid1970s. For example, according to the Survey of Consumer Finances (Aizcorbe, Kennickell, and Moore, 2003), the percent of households with either direct or indirect stock ownership (including mutual funds and retirement accounts) has increased from 31.8% in 1989 to 51.9% in 2001. In 1983, only 20.4 percent of families reported public corporate stock or mutual fund ownership, and 24.2 percent reported retirement accounts (Kennickell and Shack-Marquez, 1992). Out of those who reported stock ownership in 1983, only 40 percent said they owned shares of more than one company (Avery et. al., 1984). Figure 2 shows the net acquisition of mutual funds and pension funds by households and non-profit organizations. After the mid-1970s, pension fund ownership started growing at a rapid rate (owing, perhaps, to the Employee Retirement Income 13 Security Act of 1974), while mutual fund ownership started increasing in the early 1980’s. 7 4. Fundamental and sentiment components of confidence The findings reported in the previous sections prompt us to explore the forecasting ability of consumer confidence further. We find it reasonable to conjecture the presence of two different components in the consumer confidence index: one rooted in fundamentals, and one reflecting sentiment. To separate consumer confidence index into the two components, we estimate the following regressions for each index: CONF t = a + b1 DIVt + b 2 DEFt + b3YLD 3 t + b 4 GDPt + b5 CONS t + b6 LABOR + b 7URATE t + b8 CPI t + b9 DIVt −1 + b10 DEFt −1 + b11YLD3 t −1 + b12 GDPt −1 (1) + b13 CONS t −1 + b14 LABOR t −1 + b15 URATEt −1 + b16 CPI t −1 + ηt The predicted value from this regression is our measure of the fundamental component of confidence, and the residual represents sentiment. For robustness, we also regress confidence on contemporaneous and leading values of the explanatory variables. The predicted and the residual components obtained in the two ways are very closely aligned for each confidence measure (the correlations are around 0.85 to 0.95 both for the predictions and for the residuals), so we do not consider these results further here. Figure 3 shows the predicted and the residual compone nts of the Conference Board index of consumer confidence (CBIND) versus the University of Michigan index 7 One reason that may have contributed to the increased indirect participation of households in the equity markets through mutual funds was the banning of fixed brokerage commissions on May 1, 1975, which has decreased commission rates for mutual funds and increased trading volumes, while not reducing trading costs for small individual investors (Blum and Lewellen, 1983; Edmister, 1978). 14 of consumer sentiment (ICS). Table 6 reports the correlations between the predicted and the residual components from (1) over 1977 - 2002. The correlation between the composite indexes (ICS and CBIND) is 0.86 for the predictions, and 0.77 for the residuals. The values for the expectations indexes (EI and CBEXP) are the same. Thus the time-series behavior of the predicted and the residual components is robust to the choice of confidence measure. We compare our measures of sentiment to other measures used in the literature. Baker and Wurgler (2003) collect a sample of several commonly used sentiment variables: value-weighted dividend premium, number of IPO’s, average first-day IPO return, value-weighted closed-end fund discount, equity share in new issues, and NYSE turnover. They extract the first principal component of these sentiment measures and regress it on several macroeconomic variables, including industrial production index, personal consumption expenditures, and NBER recession indicator. The residual from the regression (the variable they name SENTIMENT) is their main measure of investor sentiment unwarranted by economic expectations. All their data is observed at year-end and is available over 1962 – 2002. For fairness of the comparison, we re-estimated the residual components of the confidence indexes over the same time interval and retained the year-end observations. 8 Table 7 shows the correlations of the confidence residuals with the Baker and Wurgler (2003) sentiment measure. The correlations over 1962 – 1976 are in panel A and those for 1977 – 2002 are in panel B. The difference between the two sub-periods is 8 For robustness, we also estimate confidence residuals using year-end observations of macroeconomic variables such that our residual data arre available on an annual basis to begin with. Comparing these residuals to the measures used by Baker and Wurgler (2003) provides the same qualitative pattern. 15 rather striking. After 1977, the correlations mostly have the expected sign. However, in the pre-1977 sub-period, they reverse sign. This sign reversal pattern is clear in Figure 4, which shows SENTIMENT plotted against the residual from the University of Michigan Expectations Index. Clearly, in the beginning of the sample, the correlation between the two is negative, while later in the sample they exhibit a marked positive correlation, which becomes especially strong in the 1990s. 5. Time series tests for size -sorted portfolios We now turn to the main question of our paper. In a time-series framework, we model the behavior of the conditional market betas and the pricing errors of the sizesorted Fama-French portfolios. We estimate the following time-series regression for the portfolio long in stocks representing the smallest size decile and short in stocks representing the largest size decile (M110). Rt = ( a1 + a 2 RES t−1 ) + (b1 + b2 PREDt −1 ) Rm, t (2) In (2), RES and PRED are the residual (sentiment) and the predicted (fundamental) components of consumer confidence, respectively, and Rm is the return on the CRSP value-weighted index. All returns are excess, net of the return on the onemonth T-bill. Thus we make the conditional market beta of each portfolio a function of the fundamental compone nt of consumer confidence, while the portion of return unexplained by the conditional market beta (the pricing error) is a function of the sentiment component. 9 9 As a robustness check we also estimate the regression in equation (2) using the raw confidence measure instead of its predicted value to condition the beta estimates. The results are identical to those reported in the paper. 16 Table 8A compares the results of (2) for the pre – 1977 and the post – 1977 subperiods. In the post – 1977 regression, we use the confidence components estimated using only post-1977 data. For robustness, we ran (2) over 1977 – 2002 with the confidence components estimated first on the entire available dataset. The results are qualitatively similar. Once again, we observe a striking difference across the two subperiods. Prior to 1977, neither component of consumer confidence has any ability to explain the time variation in the size premium. The slope coefficients are indistinguishable from zero, and the incremental R2 is zero or negative. In the second sub-period, the slope coefficients for both confidence components are significantly negative, most at 95% to 99% level of significance. The incremental adjusted R2 ’s are high, up to 0.13. Table 8A also reports the average conditional market betas and the average pricing errors: (1) for each sub-period; (2) for the observations from each sub-period where the corresponding confidence component is below median; and (3) for the observations from each sub-period where the corresponding confidence component is above median. The pattern is clear. The conditional market betas of our ‘small minus large’ strategy are higher in times when consumer confidence is low, which is consistent with the argument that the conditional market betas of small stocks are more sensitive to the business cycle than those of large stocks. However, even after controlling for the conditional market betas, we still observe that the pricing errors of the ‘small minus large’ strategy covary negatively with the component of confidence related to investor sentiment, conforming to the behavioral hypothesis that overconfidence induces individual investors to overvalue small stocks relative to large stocks, while excessive 17 pessimism leads them to do the opposite. A t-test (not reported) confirms that the observed differences in the conditional betas and the pricing errors are statistically significant. Again, the fact that we do not observe a similar pattern prior to 1977 may have to do with the negligible participation of consumers in the equity markets during the prior years. Next, we amend the above regression by including SENTIMENT from Baker and Wurgler (2003) as a second sentiment variable. So we run the following regression for the M110 portfolio: Rt = ( a1 + a 2 RES t −1 + a 3 BWSENTt−1 ) + (b1 + b2 PREDt −1 ) Rm,t (3) The results are reported in Table 8B. Since BWSENT is available annually, we assign the year-end observation of this variable to the first 11 months of the following year, in order to run the quarterly regressions. The pattern in Table 8B resembles our previous results. Over 1962 – 1977, the confidence components have very little additional predictive power. The only exceptions are the index of current economic conditions (CI). However, after 1977, consumer confidence has significantly negative slope coefficients even after controlling for BWSENT, while BWSENT loses its statistical significance. The incremental adjusted R2 ’s are also impressive. As a final robustness check, we perform the same analysis as in the previous section for four other portfolios: (1) the difference in returns between dividend nonpayers and dividend payers (DV110); (2) the difference in returns between the lowest and the highest earnings growth deciles (ER110); (3) the difference in returns between the lowest and the highest sales growth deciles (SG110); and (4) the difference in returns between the lowest and the highest institutional ownership deciles (IO110). The results 18 for 1977 – 2002 are in Table 9. The pattern observed is similar to that found for the ‘small minus large’ strategy. After 1977, we find that the quarters of relatively high excessive optimism are followed on average by lower returns on dividend non-paying stocks, stocks with low earnings growth, stocks with low sales growth, and stocks with low institutional ownership. Prior to 1977, we find nothing, similar to the size-sorted portfolios. Those results are not reported. 6. Concluding remarks We find that consumer confidence predicts time variation in returns of equity portfolios sorted on size and other characteristics that are likely to reflect crosssectional differences in the sensitivity of returns to the business cycle as well as the potential for mispricing due to investor sentiment. Consistent with the view that investor sentiment affects stock prices, we find that the pricing errors of small stocks exhibit larger time variation than those of large stocks and are higher following quarters of low sentiment. 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R., 1976, “Inflation and rates of return on common stocks,” Journal of Finance, 31, 471 – 483. 24 Table 1. Descriptive statistics CBIND CBEXP ICS CI EI DIV DEF YLD3 GDP CONS LABOR URATE CPIQ MKTQ SMBQ HMLQ M110 DV110 ER110 SG110 IO110 NOBS 21 21 89 90 86 205 205 174 120 120 120 117 205 203 203 203 203 55 55 55 n/a MEAN 101.34 101.02 88.62 89.30 88.09 4.37 1.16 2.48 0.91 0.93 0.63 5.05 0.20 0.87 0.23 0.41 0.82 0.44 0.57 0.47 n/a PRE – 1977 STDEV 24.88 18.80 10.44 10.24 13.47 1.41 0.84 2.23 1.16 1.02 1.04 1.40 0.50 3.40 2.29 2.56 6.12 3.09 2.55 1.65 n/a MIN 54.50 53.90 57.60 60.20 49.40 1.33 0.32 0.01 -2.73 -3.00 -2.50 2.57 -1.39 -13.14 -4.42 -9.84 -12.71 -5.71 -4.86 -2.88 n/a MAX 138.20 123.70 105.40 109.00 105.20 11.12 5.53 8.33 4.06 4.99 6.16 8.87 2.96 23.89 16.80 18.05 41.40 7.46 6.70 4.19 n/a NOBS 102 102 102 102 102 103 103 103 103 103 102 104 102 102 102 102 102 102 102 102 86 MEAN 97.71 94.77 87.81 99.43 80.34 3.10 1.09 6.52 0.75 0.78 0.45 6.28 0.36 1.11 0.22 0.21 0.15 0.02 -0.23 0.56 0.23 POST - 1977 STDEV MIN 23.54 47.30 15.04 50.00 12.92 51.70 12.46 61.70 14.00 45.30 1.25 1.10 0.45 0.55 3.00 1.17 0.81 -2.06 0.62 -2.30 0.77 -2.20 1.44 3.93 0.30 -0.30 2.78 -7.54 1.76 -3.79 2.25 -9.72 3.00 -6.00 2.92 -11.37 3.19 -13.54 1.85 -6.09 4.69 -14.70 MAX 144.70 124.30 111.30 121.10 107.80 5.54 2.61 15.02 3.78 2.14 1.95 10.67 1.46 6.75 5.57 7.44 9.16 9.75 12.17 6.95 16.08 25 Notes for Table 1. The descriptive statistics are estimated over the available observations during 1926 – 2002. All observations are as of March, June, September, and December, except for the confidence data, which is as of February, May, August, and November. CBIND: the Conference Board Index of Consumer Confidence; CBEXP: the Conference Board Expectations Index; ICS: the University of Michigan Index of Consumer Sentiment; CI: the University of Michigan Index of Current Economic Conditions; EI: the University of Michigan Index of Consumer Expectations; DEF: default spread (the difference between Baa- and Aaa- rated bond yields); DIV: dividend yield on the CRSP value-weighted index, as in Fama and French (1988); YLD3: yield on 3-month Treasury bill; GDP: 100 times the change in the natural log of chained GDP; CONS: 100 times the change in the natural log of personal consumption expenditures; LABOR: 100 times the change in the natural log of labor income, measured as total personal income net of dividend income, per capita, deflated by the PCE deflator; URATE: unemployment rate as reported by the Bureau of Labor Statistics, averaged over three months; CPIQ: inflation rate from CRSP, averaged over three months; MKTQ, SMBQ, HMLQ: Fama – French factor returns, averaged over three months; M110: difference in returns between the smallest and the largest size deciles (small minus large); DV110: difference in returns between dividend non-payers and dividend payers (non-payers minus payers); ER110: difference in returns between the lowest and the highest earnings growth deciles (low minus high); SG110: difference in returns between the lowest and the highest sales growth deciles (low minus high); IO110: difference in returns between the lowest and the highest institutio nal ownership deciles (low minus high). All data is in percent, except for the confidence measures. 26 Table 2. Correlations between confidence indicators and macroeconomic variables A. Pre-1977 CBIND CBIND 1.00 CBEXP 0.73 ICS 0.84 CI 0.74 EI 0.84 DIV -0.50 DEF -0.58 YLD3 -0.20 GDP 0.39 CONS 0.31 LABOR 0.65 URATE -0.71 CPIQ -0.37 B. Post-1977 CBIND CBIND 1.00 CBEXP 0.74 ICS 0.85 CI 0.84 E1 0.81 DIV -0.51 DEF -0.47 YLD3 -0.16 GDP 0.30 CONS 0.31 LABOR 0.38 URATE -0.75 CPIQ -0.15 CBEXP ICS CI E1 DIV DEF YLD3 GDP CONS LABOR URATE CPIQ 1.00 0.89 0.72 0.91 -0.36 -0.10 -0.66 0.75 0.66 0.83 -0.16 -0.67 1.00 0.83 0.97 -0.40 -0.70 -0.45 0.48 0.41 0.51 -0.35 -0.63 1.00 0.69 -0.79 -0.35 0.10 0.38 0.34 0.40 0.04 -0.22 1.00 -0.26 -0.69 -0.62 0.41 0.36 0.42 -0.37 -0.73 1.00 0.47 -0.57 -0.10 -0.18 -0.19 -0.17 -0.19 1.00 -0.31 -0.25 -0.14 -0.20 0.60 -0.38 1.00 -0.10 -0.04 0.07 0.09 0.20 1.00 0.56 0.65 0.00 -0.11 1.00 0.35 0.09 -0.16 1.00 -0.06 0.01 1.00 0.03 1.00 CBEXP ICS CI EI DIV DEF YLD3 GDP CONS LABOR URATE CPIQ 1.00 0.78 0.63 0.82 -0.25 -0.22 -0.02 0.50 0.53 0.53 -0.20 -0.23 1.00 0.94 0.98 -0.69 -0.54 -0.42 0.40 0.47 0.40 -0.57 -0.47 1.00 0.85 -0.66 -0.65 -0.46 0.36 0.41 0.35 -0.69 -0.40 1.00 -0.66 -0.45 -0.37 0.40 0.48 0.40 -0.47 -0.48 1.00 0.63 0.76 -0.09 -0.18 -0.03 0.67 0.58 1.00 0.62 -0.25 -0.16 -0.15 0.67 0.28 1.00 -0.06 -0.14 0.11 0.40 0.64 1.00 0.62 0.63 -0.04 -0.05 1.00 0.53 0.03 -0.29 1.00 -0.10 -0.02 1.00 0.10 1.00 Notes for Table 2. All variables and time periods are as defined in Table 1. 27 Table 3. Consumer confidence as a predictor of economic activity A. Pre-1977 ICS CI EI slope -0.0220 -1.15 -0.0324 -1.60 -0.0155 -1.11 GDP R2 0.00 0.02 0.00 slope 0.0009 0.07 -0.0012 -0.09 -0.0028 -0.27 CONS R2 -0.01 -0.01 -0.01 slope -0.0008 -0.05 -0.0028 -0.20 -0.0066 -0.50 LABOR R2 -0.01 -0.01 -0.01 slope -0.0008 -0.15 0.0051 0.72 0.0009 0.26 URCHG R2 -0.01 0.00 -0.01 slope -0.0170 -2.42 0.0029 0.34 -0.0115 -2.03 URATE R2 0.00 0.00 0.00 B. Post - 1977 CBIND CBEXP ICS CI EI slope 0.0048 1.05 0.0238 3.68 0.0203 2.57 0.0042 0.49 0.0245 3.27 GDP R2 -0.01 0.12 0.02 -0.02 0.06 slope 0.0053 1.76 0.0184 3.97 0.0220 3.66 0.0059 0.70 0.0255 4.61 CONS R2 0.01 0.11 0.06 -0.01 0.12 slope 0.0071 1.62 0.0230 3.48 0.0312 2.96 0.0154 1.52 0.0327 3.75 LABOR R2 0.01 0.13 0.10 0.01 0.14 slope 0.0007 0.41 -0.0065 -2.58 -0.0065 -2.20 0.0002 0.05 -0.0085 -2.84 URCHG R2 -0.01 0.04 0.01 -0.01 0.04 slope -0.0082 -4.70 -0.0088 -5.71 -0.0131 -4.34 -0.0134 -3.66 -0.0114 -4.51 URATE R2 0.01 0.01 0.01 0.01 0.01 Notes for Table 3. The table reports the results of the regression of macroeconomic variables on lagged confidence indicators, controlling for the lagged dependent variable, default spread, dividend yield, and 3- month T-bill yield. All variables are as defined in Table 1, except URCHG, the difference between end-of-quarter and beginning-of-quarter unemployment rate. Newey-West t-statistics are in italics. R2 is the incremental adjusted R2 relative to the base regression that includes only lagged dependent variable and other controls but no confidence. 28 Table 4. Regression of consumer confidence on macroeconomic variables B. Pre-1977 Intercept DIV DEF YLD3 GDP CONS LABOR URCHG CPIQ R2 ICS 120.61 -4.18 -11.75 -1.92 0.62 -1.37 3.49 -0.73 -5.06 0.74 26.85 -3.40 -3.85 -3.45 0.78 -1.35 3.08 -0.29 -1.11 CI 130.47 -9.52 -6.74 -1.18 1.34 0.05 0.74 1.11 4.30 23.18 -7.48 -2.21 -1.92 1.76 0.06 0.73 0.61 1.25 123.64 -3.20 -13.90 -2.58 0.19 -1.70 4.10 -1.16 -12.60 20.19 -1.73 -3.70 -2.65 0.18 -1.33 2.86 -0.36 -1.85 Intercept DIV DEF YLD3 GDP CONS LABOR URCHG CPIQ R2 123.64 -14.32 -16.59 4.63 -1.86 4.71 5.37 -4.88 3.76 0.51 15.63 -3.7 -2.56 2.38 -0.67 1.67 2.23 -0.78 0.62 94.17 -4.59 -1.14 2.24 0.94 3.53 3.35 -14.39 -10.50 20.7 -2.4 -0.28 2.24 0.44 1.3 1.77 -4.05 -2.02 104.88 -7.11 -4.69 1.45 -0.05 2.94 2.14 -7.38 -7.84 35.95 -5.15 -1.89 2.03 -0.04 1.97 1.54 -2.54 -2.34 118.80 -5.07 -9.92 0.92 -0.79 2.72 1.89 -6.34 -3.93 39.31 -3.47 -3.58 1.17 -0.65 2.05 1.37 -1.99 -1.18 95.94 -8.42 -1.30 1.79 0.42 3.08 2.31 -8.07 -10.33 27.98 -5.68 -0.49 2.44 0.28 1.55 1.37 -2.49 -2.55 EI 0.71 0.75 B. Post-1977 CBIND CBEXP ICS CI EI 0.48 0.69 0.63 0.67 Notes for Table 4. All explanatory variables are measured contemporaneously with consumer confidence. All measurements are quarterly. Newey-West t-statistics are in italics. Adjusted R2 is in the last column. All variables are as defined in Table 1. 29 Table 5. Regression of size premium on consumer confidence A. Pre – 1977 Intercept CONF LAGDEP DIV DEF YLD3 R2 Incr. R2 -1.81 0.02 -0.13 -0.02 1.36 -0.19 -0.03 -0.01 -0.25 0.47 -0.77 -0.02 1.33 -0.70 -0.86 0.02 -0.13 -0.16 1.31 -0.24 -0.02 -0.01 -0.11 0.36 -0.79 -0.23 1.22 -1.23 -1.86 0.02 -0.13 0.17 1.12 -0.17 -0.02 -0.01 -0.28 0.46 -0.80 0.24 1.15 -0.53 Intercept CONF LAGDEP DIV DEF YLD3 R2 Incr. R2 2.64 -0.02 0.06 0.04 0.97 -0.25 0.03 0.00 1.36 -1.33 0.54 0.06 1.23 -1.36 5.09 -0.05 0.05 0.07 1.08 -0.24 0.07 0.04 2.59 -2.88 0.41 0.11 1.28 -1.41 9.48 -0.09 0.02 -0.33 0.83 -0.25 0.08 0.05 3.33 -3.24 0.19 -0.50 1.07 -1.55 12.69 -0.10 -0.01 -0.22 0.21 -0.27 0.10 0.07 4.04 -3.87 -0.07 -0.37 0.29 -1.82 6.51 -0.06 0.04 -0.26 1.18 -0.26 0.06 0.04 2.65 -2.68 0.39 -0.38 1.44 -1.55 ICS CI EI B. Post – 1977 CBIND CBEXP ICS CI EI Notes for Table 5. The quarterly regressions of size premium on consumer confidence control for lagged dependent variable, dividend yield, default spread, and 3- month T-bill yield. All independent variables are lagged by one quarter. Column CONF reports the slope for the corresponding confidence indicator. Column LAGDEP reports the slope for lagged dependent variable. As a measure of size premium we used M110, the difference between the smallest and the largest size decile returns. The two last columns report the regression’s adjusted R2 and the incremental adjusted R2 relative to the base regression that includes no confidence. Newey-West t-statistics are in italics. All variables are as defined in Table 1. 30 Table 6. Correlations between the predicted and the residual components of different consumer confidence indicators. A. Predicted components CBIND CBEXP ICS CI CBIND 1.00 CBEXP 0.73 1.00 ICS 0.86 0.83 1.00 CI 0.89 0.73 0.96 1.00 EI 0.81 0.86 0.99 0.89 EI 1.00 B. Residual components CBIND CBEXP ICS CI CBIND 1.00 CBEXP 0.87 1.00 ICS 0.77 0.70 1.00 CI 0.54 0.40 0.84 1.00 EI 0.79 0.77 0.95 0.63 EI 1.00 Notes for Table 6. The correlations are estimated over 1977 – 2002. All data is quarterly. The predicted and the residual components are estimated on the same time interval, from the following regression of consumer confidence indicators on macroeconomic variables: CONF t = a + b1 DIVt + b 2 DEFt + b3YLD 3 t + b 4 GDPt + b5 CONS t + b6 LABOR + b 7URATE t + b8 CPI t + b9 DIVt −1 + b10 DEFt −1 + b11YLD3 t −1 + b12 GDPt −1 + b13 CONS t −1 + b14 LABOR t −1 + b15 URATEt −1 + b16 CPI t −1 + ηt 31 Table 7. Correlations between confidence residuals and the sentiment measure from Baker and Wurgler (2003) A. 1962 – 1976 SENTIMENT CBIND CBEXP ICS CI EI n/a n/a -0.48 -0.60 -0.36 CBIND CBEXP ICS CI EI 0.37 0.34 0.32 -0.10 0.52 B. 1977 – 2002 SENTIMENT Notes for Table 7. The table presents the correlations of the confidence residuals with the sentiment measure of Baker and Wurgler (2003). For more details on the SENTIMENT variable refer to Baker and Wurgler (2003). The data from Baker and Wurgler (2003) are available as of year-end over 1962-2002. Only the year-end observations for confidence residuals were retained for the purpose of estimating these correlations. Originally, confidence residuals were estimated quarterly from regressing confidence on several macroeconomic variables over 1962 – 2002; see equation (1) in the paper. 32 Table 8. Regression of ‘small minus large’ strategy on the confidence components A1 a2 b1 b2 R2 0.4231 0.0739 0.3731 -0.0001 -0.01 1.29 1.15 0.57 -0.01 0.3991 0.0561 0.1291 0.0027 1.16 0.70 0.17 0.28 0.4770 0.0549 0.3152 0.0010 1.44 1.05 0.56 0.15 -0.1012 -0.0558 1.0388 -0.0081 -0.29 -3.14 2.12 -1.62 CBEXP -0.0637 -0.0687 1.1998 -0.0106 -0.18 -3.13 1.92 -1.52 ICS -0.1031 -0.1746 1.7973 -0.0177 -0.32 -4.70 2.67 -2.19 CI -0.0671 -0.1960 2.0126 -0.0179 -0.22 -4.42 2.65 -2.25 0.1174 -0.1183 1.5613 -0.0165 -0.35 -4.01 2.72 -2.16 A. ALL LOW HIGH a 0.42 0.16 0.68 ß 0.36 0.37 0.36 a 0.40 0.20 0.59 ß 0.36 0.34 0.39 a 0.48 0.24 0.72 ß 0.40 0.40 0.41 a -0.10 0.25 -0.45 ß 0.25 0.38 0.11 a -0.06 0.39 -0.51 ß 0.20 0.30 0.10 a -0.10 0.57 -0.76 ß 0.24 0.40 0.09 a -0.07 0.74 -0.86 ß 0.23 0.38 0.09 a 0.12 0.65 -0.40 ß 0.24 0.40 0.08 Pre – 1977 ICS CI EI -0.01 -0.01 Post – 1977 CBIND EI 0.04 0.03 0.10 0.13 0.07 a1 a2 a3 b1 b2 R2 0.46 0.09 -0.59 -0.82 0.02 0.08 1.09 1.37 -1.98 -1.25 1.96 0.37 0.02 -0.74 -0.42 0.01 0.57 0.20 -2.49 -0.48 0.96 0.26 0.07 -0.62 -0.63 0.02 0.76 1.21 -2.15 -1.21 2.18 CBIND -0.0162 -0.04 -0.0418 -1.79 -0.0432 -0.09 1.0862 2.21 -0.0087 -1.70 0.02 CBEXP -0.0173 -0.0631 0.0155 1.1763 -0.0104 0.02 -0.05 -2.66 0.03 1.98 -1.56 0.1203 -0.1339 -0.0518 1.8574 -0.0191 0.33 -2.87 -0.10 2.90 -2.42 0.2918 -0.1156 -0.3092 2.1639 -0.0200 0.88 -3.65 -0.67 2.72 -2.34 0.0040 -0.0849 0.0407 1.5337 -0.0168 0.01 -2.09 0.07 3.03 -2.44 B. 1962-1976 ICS CI EI 0.04 0.09 1977 – 2002 ICS CI EI 0.08 0.08 0.05 33 Notes for Table 8. Panel A reports the results of the following time-series regression for the portfolio long in the smallest size decile and short in the largest size decile (M110): Rt = ( a1 + a 2 RES t−1 ) + (b1 + b2 PREDt −1 ) Rm, t , where RES and PRED are the residual (sentiment) and the predicted (fundamental) components of consumer confidence, respectively, and Rm is the return on the CRSP value-weighted index. All returns are averaged over three months, net of the return on the one- month Tbill, in percent. The components of consumer confidence are estimated over the pre 1977 and post – 1977 intervals, respectively. Also reported are the average pricing error a and the average conditional market beta ß, computed as follows: a = a1 + a2 RESt-1 , ß = b1 + b2 PREDt-1 , for the entire estimation period (ALL), for the observations from the same period where the corresponding confidence components are below median (LOW), and for the observations from the same period where the corresponding confidence components are above median (HIGH). Panel B reports the results of the following regression for the M110 portfolio: Rt = ( a1 + a 2 RES t −1 + a 3 BWSENTt−1 ) + (b1 + b2 PREDt −1 ) Rm,t , where BWSENT is the measure of investor sentiment from Baker and Wurgler (2003) available annually. We assign the year-end observation of this variable to the first 11 months of the following year, in order to run quarterly regressions. The confidence components were estimated on 1962-2002. In both panels, Newey-West t-statistics are in italics. R2 is the incremental adjusted R2 relative to the base regression that includes the market factor only. 34 Table 9. Regressions for alternative portfolio sorts a1 a2 b1 b2 R2 -0.2550 -0.0343 0.3005 0.0022 -0.00 -0.96 -1.33 0.71 0.49 CBEXP -0.2849 -0.0415 0.6870 -0.0018 -1.07 -1.54 1.07 -0.26 ICS -0.2595 -0.1198 0.1778 0.0040 -1.06 -2.63 0.31 0.59 CI -0.2664 -0.1084 0.1697 0.0036 -1.07 -2.47 0.26 0.53 EI -0.2541 -0.0926 0.1870 0.0042 -1.01 -2.36 0.37 0.64 -0.2984 -0.0481 -0.5341 0.0084 -1.02 -1.81 -0.99 1.48 -0.3239 -0.0526 -0.7606 0.0112 -1.07 -1.95 -1.04 1.39 -0.3078 -0.1251 -1.1255 0.0163 -1.13 -2.74 -1.78 2.09 CI -0.3418 -0.1167 -1.1444 0.0147 -1.22 -2.75 -1.53 1.81 EI -0.2867 -0.0935 -1.0392 0.0167 -1.04 -2.24 -1.85 2.20 CBIND 0.7087 3.79 -0.0358 -1.71 -0.4365 -1.21 0.0022 0.60 CBEXP 0.7565 -0.0239 -1.4383 0.0128 4.08 -1.18 -2.53 2.28 0.7051 -0.0700 -0.5720 0.0041 3.93 -2.02 -1.35 0.80 0.6926 -0.0716 -0.4269 0.0022 3.98 -2.32 -0.80 0.39 0.7158 -0.0476 -0.6247 0.0050 3.94 -1.62 -1.76 1.09 0.1603 -0.1015 0.1645 -0.0008 0.40 -2.33 0.24 -0.11 0.2553 -0.1134 -0.8509 0.0094 0.61 -2.47 -0.93 0.93 ICS 0.2663 -0.2554 0.1009 -0.0002 0.70 -2.64 0.10 -0.02 CI 0.2759 -0.2304 0.5350 -0.0046 0.71 -2.76 0.50 -0.39 EI 0.2470 -0.1974 -0.1556 0.0029 0.64 -2.36 -0.17 0.24 ALL LOW HIGH a -0.26 -0.04 -0.47 ß 0.52 0.48 0.55 a -0.28 -0.01 -0.55 ß 0.52 0.53 0.50 a -0.26 0.20 -0.71 ß 0.53 0.49 0.56 a -0.27 0.18 -0.70 ß 0.53 0.50 0.56 a -0.25 0.16 -0.66 ß 0.52 0.48 0.56 a -0.30 0.01 -0.60 ß 0.29 0.15 0.43 a -0.32 0.02 -0.66 ß 0.30 0.20 0.40 a -0.31 0.17 -0.78 ß 0.31 0.16 0.45 a -0.34 0.14 -0.81 ß 0.32 0.19 0.44 a -0.29 0.13 -0.70 ß 0.30 0.14 0.46 0.02 a ß 0.71 -0.22 0.94 -0.26 0.49 -0.19 0.06 a 0.76 0.91 0.60 ß -0.23 -0.35 -0.11 A. DV110 CBIND 0.00 0.03 0.02 0.02 B. ER110 CBIND CBEXP ICS 0.03 0.02 0.07 0.05 0.06 C. SG110 ICS CI EI 0.03 0.02 0.02 a 0.71 0.97 0.44 ß -0.21 -0.25 -0.18 a 0.69 0.99 0.40 ß -0.21 -0.23 -0.19 a 0.72 0.93 0.51 ß -0.22 -0.27 -0.18 a 0.16 0.81 -0.47 ß 0.09 0.10 0.07 a 0.26 1.00 -0.48 ß 0.04 -0.05 0.13 a 0.27 1.25 -0.69 ß 0.08 0.09 0.08 a 0.28 1.22 -0.65 ß 0.08 0.12 0.04 a 0.25 1.13 -0.62 ß 0.08 0.05 0.10 D. IO110 CBIND CBEXP 0.01 0.03 0.05 0.04 0.03 35 Notes for Table 9. The table reports the results of the following time-series regression for the difference in returns between dividend non-payers and dividend payers (A); the lowest and the highest earnings growth deciles (B); the lowest and the highest sales growth deciles (C); the lowest and the highest institutional ownership deciles (D): Rt = ( a1 + a 2 RES t−1 ) + (b1 + b2 PREDt −1 ) Rm, t , where RES and PRED are the residual and the predicted components of consumer confidence, respectively, and Rm is the return on the CRSP value-weighted index. All returns are three- month averages, net of the return on the one-month T-bill, in percent. All differences in returns are computed as “low minus high.” The components of consumer confidence and the regressions are estimated over the post – 1977 interval. Newey-West t-statistics are reported in italics. The R2 is the incremental adjusted R2 relative to the base regression that includes the market factor only. Also reported are the average pricing error a and the average conditional market beta ß, computed as follows: a = a1 + a2 RESt-1 , ß = b1 + b2 PREDt-1 , for the entire estimation period (ALL), for the observations from that period where the corresponding confidence components are below median (LOW), and for the observations from the same period where the corresponding confidence components are above median (HIGH). 36 Figure 1 140 1.5 120 1 100 0.5 80 0 60 -0.5 40 -1 20 CBEXP EI 2002 2000 1999 1997 1996 1994 1993 1991 1990 1988 1987 1985 1984 1982 1981 1979 1978 1976 1975 1973 1972 1970 1969 1967 1966 1964 1963 1961 1960 1958 1957 1955 1954 1952 -1.5 1951 0 NBER Figure 1. The indexes of consumer expectations from the University of Michigan (EI) and the Conference Board (CBEXP), left scale, versus the NBER indicator of economic cycle peaks and troughs, right scale. 37 Figure 2 300 250 200 $ billion 150 100 50 2002 2000 1998 1996 1994 1992 1990 1988 1986 1984 1982 1980 1978 1976 1974 1972 1970 1968 1966 1964 1962 1960 1958 1956 1954 1952 1950 1948 1946 0 -50 mutual funds pension reserves Figure 2. Acquisition of mutual funds and pension reserves by households and nonprofit organizations. Source: Flow of Funds Accounts of the U.S., Federal Reserve statistical release 1/15/2004. 38 Figure 3a 160 140 120 100 80 60 40 20 0 -20 -40 CBIND, pred CBIND, res ICS, pred 2002 2001 2001 2000 1999 1998 1998 1997 1996 1995 1995 1994 1993 1992 1992 1991 1990 1989 1989 1988 1987 1986 1986 1985 1984 1983 1983 1982 1981 1980 1980 1979 1978 1977 -60 ICS, res Figure 3a. The predicted (upper) and the residual (lower) components of confidence. CBIND is the Index of Consumer Confidence from the Conference Board. ICS is the Index of Consumer Sentiment from the University of Michigan. 39 Figure 3b 140 120 100 80 60 40 20 0 -20 CBEXP, pred CBEXP, res EI, pred 2002 2001 2001 2000 1999 1998 1998 1997 1996 1995 1995 1994 1993 1992 1992 1991 1990 1989 1989 1988 1987 1986 1986 1985 1984 1983 1983 1982 1981 1980 1980 1979 1978 1977 -40 EI, res Figure 3b. The predicted (upper) and the residual (lower) components of consumer expectations indexes. CBEXP is the Expectations Index from the Conference Board. EI is the Index of Consumer Expectations from the University of Michigan. 40 Figure 4 15 3.00 2.50 10 2.00 1.50 5 1.00 2002 2000 1998 1996 1994 1992 1990 1988 1986 1984 1982 1980 1978 1976 1974 1972 1970 1968 1966 1964 1962 0 0.50 0.00 -5 -0.50 -10 -1.00 -1.50 -15 -2.00 -20 -2.50 EI SENTIMENT Figure 4. The residual component of the Index of Consumer Expectations, University of Michigan (EI), left scale, versus the investor sentiment measure (SENTIMENT) from Baker and Wurgler (2003), right scale. 41
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