day of the week effects and asset returns the number of empirical studies using daily stock returns is rapidly increasing researchers generally assume that the distribution of stock returns is identical for all days of the week a convenient statistical assumption but not a necessary condition of market equilibrium nevertheless there are reasons to suspect that the distribution of returns may vary according to the day of the week the most obvious is the impact of weekends on monday s return since monday s return is calculated over three instead of one calender day the mean and variance may well be higher on monday compared with any other daily return perhaps three times as large previous research has examined the daily distribution of stock returns for a monday effect while fama 1965 does not compare daily mean returns he does report that monday s variance is about 20o greater than other daily returns with a traditional distributional assumption regarding the returns on a financial asset specifies that the expected returns are identical for all days of the week contrary to this plausible assumption this paper discovers that the expected returns on common stocks and treasury bills are not constant across days of the week the most notable evidence is for monday s returns where the mean is unusually low or even negative several explanations of the results are investigated but none proves satisfactory aside from documenting significant day of the week effects the implications of the results for tests of market efficiency are examined while market adjusted returns continue to exhibit day of the week effects these effects are no longer concentrated on monday during the last year we have had many conversations with our colleagues throughout the professions we are particularly thankful to the participants at sessions of the western and american finance associations where preliminary versions of this paper were presented special thanks are due to gene fama gailen hite jon ingersoll robert jarrow merton miller clifford smith and rex thompson the expert research assistance of frank rabinovitch and youngsup yun is gratefully acknowledged 1 the list of papers using daily stock returns is too long to name recent examples include charest 1978 dodd 1980 banz 1981 and reinganum 1981

optimal inattention to the stock market with information costs and transactions costs recurrent intervals of inattention to the stock market are optimal if consumers incur a utility cost to observe asset values when consumers observe the value of their wealth they decide whether to transfer funds between a transactions account from which consumption must be financed and an investment portfolio of equity and riskless bonds transfers of funds are subject to a transactions cost that reduces wealth and consists of two components one is proportional to the amount of assets transferred and the other is a fixed resource cost because it is costly to transfer funds the consumer may choose not to transfer any funds on a particular observation date in general the optimal adjustment rule including the size and direction of transfers and the time of the next observation is state dependent surprisingly unless the fixed resource cost of transferring funds is large the consumer s optimal behavior eventually evolves to a situation with a purely time dependent rule with a constant interval of time between observations this interval of time can be substantial even for tiny observation costs when this situation is attained the standard consumption euler equation holds between observation dates if the consumer is sufficiently risk averse

the effect of cohort size on earnings growth a reexamination of the evidence this study reexamines the effect of cohort size on earnings growth finis welch finds that individuals in larger cohorts experience depressed earnings conditions on entry into the labor market but that their earnings grow at faster rates than in smaller cohorts thus a large portion of the cohort size effect on earnings dissipates after a few years however using data almost identical to those of welch but estimating less restrictive models it is found here that cohort size not only depresses earnings at entry but also seems to slow down early career earnings growth the evidence suggests that earnings ini larger cohorts do not approach normal levels after at brief period in the labor force rather the negative cohort size effect on earnings appears to worsen with experience

a flow based explanation for return predictability this paper proposes and tests an investment ow based explanation for three empirical ndings on return predictability the persistence of mutual fund performance the smart

livestock emissions regulation with unknown damages and strategic technology adoption livestock emissions have been identified as a contributor to greenhouse gas build up yet have remained unregulated in the us a game theoretic model in the style of tarui and polasky 2005 was analysed where the dairy industry strategically chooses to abate air emissions with technology adoption and herd size decisions while a regulator chooses a tax rate on emissions to satisfy the desires of competing interest groups this model allows the effects of potential air emission regulation on the dairy industry to be evaluated results demonstrate that dairy farms react to the increased cost of air regulation by decreasing herd size rather than investing in air emission abatement technology in the short run this suggests that incentives may need to be put in place to induce adoption in emissions abatement technology at the livestock level in the long run

can information heterogeneity explain the exchange rate determination puzzle empirical evidence shows that most exchange rate volatility at short to medium horizons is related to order flow and not to macroeconomic variables we introduce symmetric information dispersion about future macroeconomic fundamentals in a dynamic rational expectations model in order to explain these stylized facts consistent with the evidence the model implies that a observed fundamentals account for little of exchange rate volatility in the short to medium run b over long horizons the exchange rate is closely related to observed fundamentals c exchange rate changes are a weak predictor of future fundamentals and d the exchange rate is closely related to order flow

investor attention overconfidence and category learning abstract motivated by psychological evidence that attention is a scarce cognitive resource we model investors attention allocation in learning and study the effects of this on asset price dynamics we show that limited investor attention leads to category learning behavior i e investors tend to process more market and sector wide information than firm specific information this endogenous structure of information when combined with investor overconfidence generates important features observed in return comovement that are otherwise difficult to explain with standard rational expectations models our model also demonstrates new cross sectional implications for return predictability

optimal inattention to the stock market inattentive agents update their information sporadically and thus respond belatedly to news we generate optimally inattentive behavior by assuming that to observe the value of his investment portfolio the consumer must pay a cost that is proportional to the portfolio s contempo raneous value it is optimal for the consumer to check his investment portfolio at equally spaced points in time consuming from a riskless trans actions account in the interim the riskless transactions account that finances consump tion guarantees that funds are never unwittingly exhausted we show that the optimal interval of time between consecutive observations of the value of the portfolio is the unique positive solution to a nonlinear equation quantitatively even a small observation cost one basis point of wealth implies a substantial eight month decision interval under conventional parameter values

learning from prices and the dispersion in beliefs i study whether investors use an asset s price to update their beliefs about its payos i show that in a dynamic economy the relationship between the dispersion in investor beliefs and returnvolume characteristics can be used to empirically answer this question when investors have rational expectations re and condition on the price i show that belief dispersion is positively related to expected returns return volatility and correlation between volume and absolute returns but negatively related to return autocorrelation when investors do not use the price as in a dierence of opinions do model these relationships are reversed i test these predictions using the crosssection of returns volume and analyst forecast dispersion over dierent horizons the results are consistent with the re model at quarterly and longer horizons but reject both models at the monthly horizon i show that a hybrid model with some do investors and some re investors can match the short horizon evidence the empirical results are consistent with the idea that while some investors do not use the price in the short run they increase their conditioning on the price over time

overreaction delayed reaction and contrarian profits this paper presents a decomposition of short horizon contrarian profits into various sources based on an analysis os stock price reactions to common factors an firm specific information in sharp contrast with the conclusions in the extant literature we find that the lead lag structure in stock prices contributes less than 5 of the observed contrarian profits with most of the profits being attributable to stock price overreaction

forecasting the forecasts of others implications for asset pricing we develop a dynamic asset pricing model with heterogeneously informed agents unlike previous research we focus on the general case where differential information leads to the problem of forecasting the forecasts of others and to non trivial dynamics of higher order expectations in particular we prove that the model does not admit a finite number of state variables using numerical analysis we compare equilibria characterized by identical fundamentals but different information structure we demonstrate that the distribution of information has substantial impact on equilibrium prices and returns in particular we show that asymmetric information can generate momentum in returns and high trading volume

life cycle schooling and dynamic selection bias models and evidence for five cohorts of american males this paper examines an empirical regularity found in many societies that family influences on the probability of transiting from one grade level to the next diminish at higher levels of education we examine the statistical model used to establish the empirical regularity and the intuitive behavioral interpretation often used to rationalize it we show that the implicit economic model assumes myopia the intuitive interpretive model is identified only by imposing arbitrary distributional assumptions onto the data we produce an alternative choice theoretic model with fewer parameters that rationalizes the same data and is not based on arbitrary distributional assumptions

the dependence between hourly prices and trading volume this study provides evidence on joint characteristics of hourly common stock trading vol ume and returns on the new york stock exchange average volume traded shows signifi cant differences across trading hours of the day and across days of the week average returns differ across hours ofthe day and to some extent across days ofthe week there is a strong contemporaneous relation between trading volume and returns and also a rela tion between trading volume and returns lagged up to four hours furthermore the trading volume returns relation is steeper for positive returns than for nonpositive returns

a model of competitive stock trading volume a model of competitive stock trading is developed in which investors are heterogeneous in their information and private investment opportunities and rationally trade for both informational and noninformational motives i examine the link between the nature of heterogeneity among investors and the behavior of trading volume and its relation to price dynamics it is found that volume is positively correlated with absolute changes in prices and dividends i show that informational trading and noninformational trading lead to different dynamic relations between trading volume and stock returns

infrequent rebalancing return autocorrelation and seasonality a model of infrequent rebalancing can explain specific predictability patterns in the time series and cross section of stock returns first infrequent rebalancing produces return autocorrelations that are consistent with empirical evidence from intraday returns and new evidence from daily returns autocorrelations can switch sign and become positive at the rebalancing horizon second the cross sectional variance in expected returns is larger when more traders rebalance this effect generates seasonality in the cross section of stock returns which can help explain available empirical evidence

differential information and dynamic behavior of stock trading volume this article develops a multiperiod rational expectations model of stock trading in which investors have differential information concerning the underlying value of the stock investors trade competitively in the stock market based on their private information and the information revealed by the market clearing prices as well as other public news we examine how trading volume is related to the information flow in the market and how investors trading reveals their private information article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

the dynamic properties of financial market equilibrium with trading fees we incorporate trading fees in a long horizon dynamic general equilibrium model in which traders optimally and endogenously decide when and how much to trade a full characterization of equilibrium is provided which allows us to study the dynamics of equilibrium trades equilibrium asset prices and rates of return in the presence of trading fees we exhibit the effect of trading fees on deviations from the consumption capm and analyze the pricing of endogenous liquidity risk we compare for the same shocks the impulse responses of this model to those of a model in which trading is infrequent because of trader inattention the current version reflects material that was previously in two papers w21421 and w19155

the dynamics of short term mutual fund flows and returns a time series and cross sectional investigation abstract this study analyzes the dynamics of daily mutual fund flows a vector auto regression var of flows and returns shows that the behavior of fund investors is more consistent with contrarian rather than momentum characteristics past fund flows have a positive impact on future fund returns with the long term information effect dominating the transient price pressure effect seasonality in daily flows such as day of week and day of month patterns are present and daily flows are generally mean reverting probit regressions indicate that fund investment objective marketing policy and level of active management explain cross sectional variation in the behavioral patterns displayed in daily flows our results are robust to the different methods of calculating daily flows based on whether or not the day end tna figures include the current day s flow throughout the analysis we contrast the dynamics of daily flows with established results for monthly fund flows and find important differences between the two

hedging demand and market intraday momentum hedging short gamma exposure requires trading in the direction of price movements thereby creating price momentum using intraday returns on over 60 futures on equities bonds commodities and currencies between 1974 and 2020 we document strong market intraday momentum everywhere the return during the last 30 minutes before the market close is positively predicted by the return during the rest of the day from previous market close to the last 30 minutes the predictive power is economically and statistically highly significant and reverts over the next days we provide novel evidence that links market intraday momentum to the gamma hedging demand from market participants such as market makers of options and leveraged etfs

presidential address asset price dynamics with slow moving capital i describe asset price dynamics caused by the slow movement of investment capital to trading opportunities the pattern of price responses to supply or demand shocks typically involves a sharp reaction to the shock and a subsequent and more extended reversal the amplitude of the immediate price impact and the pattern of the subsequent recovery can reflect institutional impediments to immediate trade such as search costs for trading counterparties or time to raise capital by intermediaries i discuss special impediments to capital formation during the recent financial crisis that caused asset price distortions which subsided afterward after presenting examples of price reactions to supply shocks in normal market settings i offer a simple illustrative model of price dynamics associated with slow moving capital due to the presence of inattentive investors i address the implications for asset price dynamics of the apparent slow movement of investment capital to trading opportunities the arrival of new capital to an investment opportunity can be delayed by fractions of a second in some markets for example an electronic limit order book market for equities or by months in other markets such as that for catastrophe risk insurance accordingly prices respond to supply or demand shocks with a sharp reaction because of the relatively small subset of capital and thus risk bearing capacity that is immediately available to absorb a shock on short notice such a price impact is substantially reversed over time as additional capital becomes available the amplitude of the immediate price impact and the pattern of the subsequent recovery can reflect many sorts of attention costs to trade as well as institutional impediments to capital movement such as search costs for trading

the expansion of college education in the united states is there evidence of declining cohort quality i introduction in 1940 approximately 5 of men aged 20 64 were college graduates by 1990 the fraction with a college degree had more than quadrupled to 22 6 conversely more than 70 of men aged 20 64 had not finished high school in 1940 by 1990 the fraction of the male population who were high school dropouts had dipped below 20 these changes imply that there has been an enormous increase in the supply of skilled workers in the u s economy over the past five decades the magnitude of these changes also suggests that the composition of these groups in terms of their underlying ability and talents have also changed making it difficult to compare these groups over time in this article we focus on the expansion of college education we ask whether the increase in the number of college graduates over time lead to a decline in the average ability of college graduates following becker 1967 we introduce a simple model of human capital accumulation with individuals who differ in ability and borrowing costs under the assumption that the ability distribution is fixed and the more able attend college we examine the conditions under which a rising share of college graduates leads to a decline in the average ability of the college educated group the relationship between the expansion of higher education and the average ability of college attendees was explored by taubman and wales 1972 in their well known study putting together evidence from a variety of test score studies they reported that the average aptitude of those who attended college actually rose relative to those who did not attend college we take an alternative more aggregate approach in examining the expansion of college education and average ability in this article using the 1940 90 census we compare across cohorts with different levels of educational attainment we ask whether college graduates from more educated cohorts receive a smaller college premium even controlling for the relative supply effect thus we do not observe changes in ability directly but infer changes in ability through changes in relative wages there are several reasons why we view this alternative approach as useful first the test score studies are based on different tests administered in different states which raises questions about the comparability of the results over time second the test scores are often available only for those who finished high school because the selection of high school graduates is also changing it is difficult to infer changes in ability of college graduates third test scores typically have little explanatory power in earnings regressions suggesting that other dimensions of ability are important for earnings determination finally many of these studies refer to the first half of the twentieth century whereas we extend the analysis to the more recent period a number of recent papers murphy and welch 1992 katz and murphy 1992 topel 1997 autor et al 1998 have argued that the rapid increase in the share college graduates depressed college premiums in the 1970s welch 1979 berger 1985 and card and eemieux 2000 show that these declines in college premiums were particularly associated with the baby boom cohorts who entered college in record numbers in this article we examine to what extent these cohort effects may reflect a decline in quality associated with an accelerated pace of college attendance to preview our results we find a small and marginally significant cohort quality effect that suggests that a 10 increase in the cohort specific college share leads to a 0 6 decline in the college premium holding everything else constant these results suggest that changes in cohort quality played a minimal role in the recent period with relative supply and demand shocks accounting for most 87 of the variation in relative wages these small relative wage effects related to changes in ability are in line with evidence from test scores reported in murnane et al

factor proportions and relative wages the supply side determinants of wage inequality supply side factors may contribute to rising wage inequality first certain changes in the supply of skills allegedly exacerbate wage inequality women s increased labor force participation and increased immigration are the leading candidates both allegedly reduce the wages of less skilled men however immigration s impact on wage inequality has been minor and the effects of women s participation is inconclusive second in evaluating the likelihood that human capital investment will mitigate future inequality evidence suggests that rising returns to education have increased the proportion of young people attending college limiting the growth of inequality among high wage workers

trading volume and serial correlation in stock returns this paper investigates the relationship between aggregate stock market trading volume and the serial correlation of daily stock returns for both stock indexes and individual large stocks the first order daily return autocorrelation tends to decline with volume the paper explains this phenomenon using a model in which risk averse market makers accommodate buying or selling pressure from liquidity or noninformational traders changing expected stock returns reward market makers for playing this role the model implies that a stock price decline on a high volume day is more likely than a stock price decline on a low volume day to be associated with an increase in the expected stock return