tick size and the compass rose further insights abstract this paper investigates two differing perspectives on the compass rose those of crack and ledoit 1996 the journal of finance 51 2 751 762 and szpiro 1998 journal of banking and finance 22 1559 1569 neither perspective has explicitly considered the effect of time and we consider the implications of this with illustrations using market micro data

marriage bequest and assortative matching in rural ethiopia abstract this article examines the determinants of human and physical capital at marriage using detailed data from rural ethiopia we find that assets brought to marriage are distributed in a highly unequal manner for first unions assets brought to marriage are positively associated with parents wealth indicating that a bequest motive affects assets at marriage parental wealth affects the inheritance of neither groom nor bride sibling competition from brothers affects grooms inheritance but sisters have no effect the marriage market is a major conduit for rural and gender inequality although avenues do exist for couples to accumulate wealth over their life cycle

is it time to split the s p 500 futures contract by october 1996 the value of the s p 500 index futures contract had grown to five times its value at its inception in april 1982 one way to make the contract more accessible to small investors and to smooth out trading is to split the contract splitting the contract could increase transaction costs although competition would probably limit the amount of the increase less clear is the need for increasing the minimum percentage tick size the current minimum tick size is small for s p 500 futures compared with that of other futures and also common stocks the larger tick size could affect volume however by increasing trading costs and reducing the willingness to trade

a day end transaction price anomaly a large mean price change is observed on the last daily nyse transaction this suggests that closing prices may not consistently represent stock values transaction prices are studied to further characterize the day end price rise and to determine whether it is due to any limited subsample of stocks or dates the results indicate that the phenomenon is pervasive over most firms and days some evidence suggests that it is caused by a change in the frequency of ask prices at day end

minimum price variations discrete bid ask spreads and quotation sizes exchange minimum price variation regulations create discrete bid ask spreads if the minimum quotable spread exceeds the spread that otherwise would be quoted spreads will be wide and the number of shares offered at the bid and ask may be large a cross sectional discrete spread model is estimated by using intraday stock quotation spread frequencies the results are used to project 1 16 spread usage frequencies given a 1 16 tick projected changes in quotation sizes and in trade volumes are obtained from regression models for stocks priced under 10 the models predict spreads would decrease 38 percent quotation sizes would decrease 16 percent and daily volume would increase 34 percent article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

how reliable are simple single equation specifications of import demand this paper examines nine models of aggregate import demand for each of five countries canada germany japan united kingdom and united states in an attempt to determine which of the frequently used single equation models of import demand are appropriate an appropriate model is defined as one which generates unbiased or at least consistent and efficient elasticity estimates while models without lagged adjustments and almon lag models perform rather poorly according to these criteria models including dynamic behavior through lagged values of the dependent variable are frequently accepted results are reported regarding functional form measures of variables and structural shift economists have devoted considerable attention to the estimation of aggregate import demand elasticities because of their importance in trade theory the simplest procedure for estimating these elasticities which is consistent with economic theory is to assume that the elasticity of supply of imports is infinitely elastic and to estimate

determinants and impacts of rural land market activity evidence from nicaragua summary use of data from nicaragua to examine the performance of land rental and sales markets during 1995 98 which coincide with the implementation of major macroeconomic and sectoral reforms leads to three main conclusions first even though the data point toward an inverse farm size productivity relationship and large differences in land productivity between large and small producers land markets have not led to an equalization of returns among the groups considered second both in 1995 and in 1998 land sales markets have contributed to land concentration suggesting that credit market imperfections impeded demand in land sales markets third the policy reforms undertaken after 1995 have led to a structural shift in the performance of the land rental market instead of transferring land to large owners as it did in 1995 the land market now moves land from large to small producers the quantities involved however remain limited we conclude that if it is to contribute to equity and efficiency liberalization of land sales markets has to be complemented by measures to reduce the attractiveness of speculative land accumulation furthermore measures to reduce the transaction costs of land rental e g titling and to increase effective demand from small producers e g technical assistance and credit will be needed 2003 elsevier ltd all rights reserved

do investors prefer even eighth prices evidence from nyse limit orders abstract using a large sample of limit orders on nyse stocks we find that investors submit more limit orders with even eighth prices than odd eight prices however even though there are a greater number of even eighth limit orders the proportion of executing limit orders submitted with even prices is greater than those submitted with odd prices for a large portion of our sample we find that clustering on even prices is a positive function of stock price and various proxies for the dispersion in investors reservation prices the preference for even prices affects stock quotes investors are more likely to submit a quote improving limit order if the limit price is even and quoted depth is higher for even quotes than for odd quotes

internalization and stock price clustering finnish evidence abstract internalization the practice of brokers executing trades in house is a significant phenomenon in the helsinki stock exchange during the continuous trading session 97 5 upstairs market trades are internalized the corresponding figure for after hours upstairs market trades is 73 1 the prices of internalized trades are somewhat more clustered than the prices of other trades during the continuous trading session but they are not more clustered than the prices of negotiated trades in the after hours upstairs market this suggests that finnish brokers do not use a more discrete set of prices for internalized trades than for other upstairs trades

stock price clustering and discreteness stock prices cluster on round fractions clustering increases with price level and volatility and decreases with capitalization and transaction frequency clustering is pervasive price clustering will occur if traders use discrete price sets to simplify their negotiations exchange regulations require that most stocks be traded on eighths clustering on larger fractions will occur if traders choose to use discrete price sets based on quarters halves or whole numbers an econometric model of clustering is derived and estimated projections from the results suggest that traders would frequently use odd sixteenths when trading low price stocks if exchange regulations permitted trading on sixteenths article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

tick size the compass rose and market nanostructure abstract economists have begun using methods borrowed from the physical sciences to search for non linearities in economic and financial data the so called phase portrait from chaos theory in which the values of a time series are plotted against their delayed values is one of the techniques employed for this purpose it has recently been shown however that when returns on traded assets are plotted in this manner in two or three dimensional space surprising patterns arise which seriously distort the conclusions that can be drawn about the underlying data these patterns which resemble a compass rose reflect the microstructure of the market or more specifically the finite size of the ticks by which prices can change in a market the present paper clarifies the reason for this phenomenon it is shown that within the microstructure there exists nanostructure that becomes visible only when the computations are performed without approximation high frequency data from a foreign exchange market are used to illustrate this phenomenon

a note on the wang and wang measure of the quality of the compass rose abstract h wang and c wang visibility of the compass rose in financial asset returns a quantitative study j bank financ 26 2002 1099 1111 derive a measure of the visibility of the radial patterns that appear in a plot of current and past returns which are more commonly known as the compass rose in theory this measure should be positively related to the tick volatility ratio in practice however we find that this relationship does not hold for higher tick volatility ratios that are common to stock market data thus the use of this measure is limited in real world applications we propose a correction factor that improves the behaviour of the quality measure over higher tick volatility ratios however further research is required to fully identify and correct the problem

price clustering in bitcoin investor and media attention in bitcoin has increased substantially in recently years reflected by the incredible surge in news articles and considerable rise in the price of bitcoin given the increased attention there little is known about the behaviour of bitcoin prices and therefore we add to the literature by studying price clustering we find significant evidence of clustering at round numbers with over 10 of prices ending with 00 decimals compared to other variations but there is no significant pattern of returns after the round number we also support the negotiation hypothesis of harris 1991 by showing that price and volume have a significant positive relationship with price clustering at whole numbers

demand systems estimation with microdata a censored regression approach demand systems estimation increasingly makes use of household level microdata mainly to measure the effects of demographic variables data based on these household expenditure surveys present a major estimation problem for any given household many of the goods have zero consumption implying a censored dependent variable techniques which do not take this censored dependent variable into account will yield biased results we utilize a censored regression approach that is computationally simple consistent and asymptotically efficient the results are then presented and compared with those obtained using an uncensored technique

functional forms and habit effects in the us demand for coffee coffee remains the leading hot beverage consumed in the united states the present study specifies for estimation an unrestrictive box cox demand model 1957 87 data and its nested forms to provide more recent estimates and assess potential functional misspecification in past studies fitting a priori restrictive models incorporates the health trend effects of sugar and orange juice and tests the compatibility of coffee demand data with the habit formation hypothesis and assesses implications of demand elasticity estimates for projected producer revenues and demand for imported coffee maximum likelihood estimates of the box cox model automatically satisfy theoretical demand properties support strongly incorporating habits and related beverage and sugar prices in coffee demand model predict inelastic us coffee consumption to reduce per capita 24 and increase producer revenues 6 3 in 2000

tick size share prices and stock splits minimum price variation rules help explain why stock prices vary substantially across countries and other curiosities of share prices companies tend to split their stock so that the institutionally mandated minimum tick size is optimal relative to the stock price a large relative tick size provides an incentive for dealers to make markets and for investors to provide liquidity by placing limit orders despite its placing a high floor on the quoted bid ask spread a simple model suggests that idiosyncratic risk firm size and visibility of the firm affect the optimal relative tick size and thus the share price in stock markets around the world the average price per share differs substantially the median u s stock for example sells for about 40 a typical london stock sells for about 5 7 50 and a typical hong kong share is about 2 furthermore when stock prices rise above a country s usual trading range firms often split their stocks to restore prices to that range why are these price ranges so different among countries these trading ranges can be remarkably stable over time during the half century from 1943 to 1994 the s p composite index increased over 1 500 percent yet the average new york stock exchange nyse share price was

imperfect competition in financial markets an empirical study of island and nasdaq the competition between island and nasdaq at the beginning of the century offers a natural laboratory to study competition between and within trading platforms and its consequences for liquidity supply our empirical strategy takes advantage of the difference between the pricing grids used on island and nasdaq as well as of the decline in the nasdaq tick using the finer grid prevailing on their market island limit order traders undercut nasdaq quotes much more than they undercut one another the drop in the nasdaq tick size triggered a drop in island spreads despite the island tick already being very thin before nasdaq decimalization we also estimate a structural model of liquidity supply and find that island limit order traders earned rents before nasdaq decimalization our results suggest that perfect competition cannot be taken for granted even on transparent open limit order books with a very thin pricing grid

access to capital and its impact on agrarian structure and productivity in kenya access to capital and its distribution across agents can profoundly shape the structure and performance of an agrarian market economy it is conceptually useful to distinguish between ex ante and ex post capital access ex ante capital access denotes the ability of agents to finance production costs e g labor and purchased inputs costs which must be paid ex ante that is prior to the actual realization of production ex post capital access that is access to capital after the realization of the production process is of particular importance as an insurance substitute in low income agrarian economies where contingency markets are imperfect buoyant ex post capital access would permit an individual to stabilize consumption year to year even as production fluctuates annually a number of theoretical models have ex

an explanation for the compass rose pattern abstract the compass rose pattern cannot be observed in daily returns in the spot foreign exchange forex market but is observable when intraday forex returns are used monte carlo simulations show that the pattern is visible only when the tick volatility ratio is above some threshold level a condition that is readily met with intraday returns

limit moves as censored observations of equilibrium futures price in garch processes we develop an algorithm for estimating generalized autoregressive conditional heteroscedasticity models for time series containing some censored observations motivation for the algorithm comes from those futures markets and some equity markets that have limits constraining the maximum allowable movement in price in a day when a limit is reached trading stops and the equilibrium price is not observed we maximize the likelihood function by replacing the unobservable squared error terms with their expected values we evaluate the algorithm performance by extensive simulation and apply it to treasury bill futures data from a period of high volatility and frequent limit moves

penny wise dollar foolish buy sell imbalances on and around round numbers this paper provides evidence that stock traders focus on round numbers as cognitive reference points for value using a random sample of more than 100 million stock transactions we find excess buying selling by liquidity demanders at all price points one penny below above round numbers further the size of the buy sell imbalance is monotonic in the roundness of the adjacent round number i e largest adjacent to integers second largest adjacent to half dollars etc conditioning on the price path we find much stronger excess buying selling by liquidity demanders when the ask falls bid rises to reach the integer than when it crosses the integer we discuss and test three explanations for these results finally 24 hour returns also vary by price point and buy sell imbalances are a major determinant of that variation across price points buying selling by liquidity demanders below above round numbers yield losses approaching 1 billion per year this paper was accepted by brad barber teck ho and terrance odean special issue editors

chaos and the compass rose abstract we show that the recently discovered compass pattern in stock returns that results from discrete jumps of stocks seriously distorts the null distribution of the brock dechert scheinkmann bds chaos test under the null hypothesis of i i d returns the true rejection probability exceeds the nominal size by wide margins which suggests that much of the evidence for chaos that has so far been found in stock returns might well be due to the fact that prices change only in discrete ticks

price clustering on the shanghai stock exchange abstractwe investigate price clustering of intraday trades and negotiated block trades on the shanghai stock exchange sse from 2003 to 2009 prices of traded assets tend to cluster on certain final digits such as 0 and 5 in chinese culture 8 is associated with good luck and 4 with death so these numbers may be attractive or avoided we find that price clustering on the final digit of 0 is significantly higher during the morning call auction and early in the trading day we find no evidence of price clustering for the digit 8 but there is a significant dearth of prices ending in the inauspicious number 4 price clustering is significantly higher for negotiated block trades for which about 28 end with 0 multivariate analysis shows that price clustering is lower for more liquid firms but higher for firms with higher return volatility a higher price level or when the market is volatile our evidence supports the costly negotiation hypothesis our results also support the attraction hypothesis in t

the distributive impact of land markets in uganda abstract this article presents first hand evidence about land distribution and the impact of land markets in central uganda this area is characterized by unequal distribution of land inheritance rural rural migration and active land markets we show that land markets and particularly land purchases tend to reduce the initial inequality in the initial inherited distribution of land land purchases by landless farmers in their native village represent an important part of this adjustment

nonlinear dynamics and stock returns simple deterministic systems are capable of generating chaotic output that mimics the output of stochastic systems for this reason algorithms have been developed to distinguish between these two alternatives these algorithms and related statistical tests are also useful in detecting the presence of nonlinear dependence in time series in this article the authors apply these procedures to stock returns and find evidence that indicates the presence of nonlinear dependence on weekly returns from the center for research in security prices value weighted index copyright 1989 by the university of chicago

price clustering of chinese ipos the impact of regulation cultural factors and negotiation abstractduring june 2009 may 2012 the china securities regulatory commission csrc suspended window guidance that limits issue prices using this regime change as a natural experiment we test th

competition and collusion in dealer markets this article develops a game theoretic model to analyze market makers intertemporal pricing strategies we show that dealers who adopt noncooperative pricing strategies may set bid ask spreads above competitive levels this form of implicit collusion differs from explicit collusion where dealers cooperate to fix prices price discreteness or asymmetric information are not required for collusion to occur rather institutional arrangements that restrict access to the order flow are important determinants of the ability to collude because they reduce dealers incentives to compete on price public policy efforts to increase interdealer competition should focus on such restrictions

the relation between farm size and farm productivity the role of family labor supervision and credit constraints abstract the paper shows that if the performance of hired farmhands is affected by supervision from family members and if the availability of credit is dependent on the amount of land owned then a systematic positive or negative relationship between per acre yields and farm size will prevail a model with no supervision effects on labor productivity would predict that yields are unaffected by farm size the paper also investigates the relation between land utilization and owned holding size when land rental possibilities are limited results are shown to be compatible with various observed patterns in ldcs

wealth weather risk and the composition and profitability of agricultural investments despite the growing evidence that farmers in low income environments are risk averse there has been little empirical evidence on the importance of risk in shaping the actual allocation of production resources among farmers differentiated by wealth the authors use panel data on investments in rural india to examine how the composition of productive and nonproductive asset holdings varies across farmers with different levels of total wealth and across farmers facing different degrees of weather risk income variability is a prominent feature of the experience of rural agents in low income countries the authors report evidence based on measures of rainfall variability that the agricultural investment portfolio behavior of farmers in such settings reflects risk aversion due evidently to limitations on consumption soothing mechanisms such as crop insurance or credit markets the authors results suggest that uninsured weather risk is a significant cause of lower efficiency and lower average incomes a one standard deviation decrease in weather risk measured by the standard deviation of the timing of the rainy season would raise average profits by up to 35 percent among farmers in the lowest wealth quartile moreover rainfall variability induces a more unequal distribution of average incomes for a given distribution of wealth wealthier farmers are willing to absorb significant risk without giving up profits to reduce production risk smaller farmers have to invest their limited wealth in ways that reduce their exposure to risk at the cost of lower profit rates the authors found that at high levels of rainfall variability differences in rates of profit per unit of agricultural assets were similar across classes of wealth but over the sample range of rainfall variability these rates of profit were always higher for the poorer farmers than for the wealthier ones suggesting that the disadvantages of small farmers in risk diffusion are more than offset by their labor cost advantage

visibility of the compass rose in financial asset returns a quantitative study abstract the compass rose phenomenon is studied based on the random walk model of stock prices it is found that the structure is inherently present in any financial data having a finite precision but becomes visible only under some conditions a quantitative description of the pattern visibility condition is given providing a method for the interpretation of pattern appearance and a more comprehensive understanding of the compass rose phenomenon this is achieved by defining a measure of pattern quality the arguments and the proposed method are supported by numerical examples one such example is the presentation of patterns in portfolios with some specific weights

clustering in crude oil prices and the target pricing zone hypothesis abstract this paper studies the target pricing zone tpz hypothesis for crude oil by examining price clustering in the dollar digit it is hypothesized that price clustering occurs within an established tpz if opec is able to defend the upper and lower bounds through output changes the results show that prices strongly cluster around the dollar digit value of 9 within the tpz sub periods but not outside the sub periods furthermore the degree of clustering declines when production capacity utilization is high and when production significantly exceeds quotas consistent with opec s inability to defend the zone nine centered clustering also results in lower contemporaneous and next day volatility these results support the target pricing zone hypothesis of crude oil

why nasdaq market makers avoid odd eighth quotes recent studies argue that implicit collusion explains the tendency of nasdaq market makers to avoid odd eighth price quotes this paper focuses on the role that preference trading plays in determining quoted spreads under the postulated effects of preference trading an analysis of the relation between spreads and price fractions explains the paucity of odd eighth quotes on nasdaq empirical results from a comprehensive data set show that exogenous economic characteristics explain the distribution of price fractions across securities and illustrate the stability of that distribution over time these results contradict empirical results offered as support for the collusion hypothesis

do investors prefer round stock prices evidence from israeli ipo auctions abstract we find round number clustering in orders submitted by investors in israeli ipo auctions explanations offered for price clustering such as dealer collusion or implicit agreement to simplify negotiations cannot explain price clustering in this market therefore this is direct evidence that investors prefer round numbers

clustered pricing in the corporate loan market theory and empirical evidence abstract existing theories explaining security price clustering as well as clustering in the retail deposit and mortgage markets are incompatible with the clustering in the corporate loan market we develop a new theoretical model that the attitude of the lender toward the uncertainty about the quality of the borrower leads to the clustering of spreads our empirical results support our theoretical model and we find that clustering increases with the degree of uncertainty between the lender and the borrower in contrast clustering is less likely when the uncertainty about the quality of the borrower has been reduced through repeated access and through prior interactions of the lender and the borrower

a psychological reexamination of the bertrand paradox the bertrand paradox describes a situation in which two competing firms reach an outcome where both price at marginal cost in laboratory experiments this equilibrium is not generally observed existing empirical works on bertrand competition have found evidence for boundedly rational models we find that such models are useful in organizing behavior in early stages of the game but less so in later stages we show that a new model coarse grid nash equilibrium based on the assumption that subjects discretize the strategy space explains the data better

tick size bid ask spreads and market structure we propose a link between market structure and the resulting market characteristics tick size bid ask spreads quote clustering and market depth we analyze transactions data of stocks traded on the london stock exchange a dealer market we conclude that market charateristics are endogenous to the market structure the london dealer market does not have a mandated tick size and it exhibits higher spreads higher quote clusterings and higher market depth than the nyse auction market clustering of trade prices is similar in london and new york

garch estimation and discrete stock prices an application to low priced australian stocks the garch model is misspecified if applied to returns calculated from discrete prices we propose a modification of the above model for handling such cases we find large differences between the standard and the extended model estimates although the results sometimes are obscured by large standard errors

implications of the discreteness of observed stock prices stock prices on the organized exchanges are restricted to be divisible by 1 8 therefore the true price usually differs from the observed price this paper examines the biases resulting from the discreteness of observed stock prices it is shown that the natural estimators of the variance and all of the higher order moments of the rate of returns are biased an approximate set of correction factors is derived and a procedure is outlined to show how the correction can be made the natural estimators of the beta and of the variance of the market portfolio on the other hand are nearly unbiased the behavior of stock prices has been an issue of interest to the financial economist for many years this interest resulted in a growing number of empirical studies which attempt to estimate this behavior e g blattberg and gonedes 2 fama 6 fama and roll 7 8 barnea and downes 1 to date stock price behavior is estimated under the assumption that the observed trading price is the true equilibrium price however observed stock prices and stock price changes on the organized exchanges are restricted to multiples of 1 8 of a dollar 1 therefore if the true distribution of stock prices is continuous an observed trading price can be different from the true price this paper examines the biases in estimating the moments of stock price changes caused by the discreteness of observed stock prices the major focus of the paper is in noting this problem providing a model which explains the source of these biases and quantifying their size section i demonstrates that due to the discrete nature of observed stock prices the natural estimators for the variance and for the higher order moments of the rate of returns are biased upward this bias is larger for stocks with lower prices and smaller standard deviation for instance assuming that the standard deviation a is 0 001 the stock price is one dollar the true probability distribution of stock prices is lognormal and the observed prices are as close as possible to the true prices then the natural estimator of r has expectation 0 01400 hence it is biased upward by 1300 significant biases have important implications in option pricing we derive an approximate set of correction factors which can be applied to the

symposium on market microstructure focus on nasdaq abstract this special issue of the journal of financial economics includes six articles that analyze the market microstructure of nasdaq in various ways the question of the costs of trading on nasdaq has become contentious in both the academic and legal regulatory arenas since the christie and schultz 1994 article first noted that many actively traded nasdaq stocks were almost never quoted on odd eights the articles in this symposium bring new and interesting insights to this debate

effect of intergenerational asset transfers on land distribution in rural cambodia case studies of three rice growing villages after land reallocation in the early 1980s inequality in landholdings has re emerged in rural cambodia besides land sales and purchases intergenerational transfers of assets may foster inequality in landholdings among second generation 2g couples who having wed after the 1980s reallocation received no land from the government data analysis of three rice growing villages reveals that land received directly from parents accounts for 18 41 of inequality in landholdings among sample 2g couples although net land gain after marriage primarily through purchases is the largest contributor to the inequality nonland assets received from parents positively affect the net gain direct and indirect effects combined assets received from parents account for 35 57 of inequality in landholdings the effect of assortative matching of the acreage received from parents has hitherto been small

robust structure without predictability the compass rose pattern of the stock market plotting daily stock returns against themselves with one day s lag reveals a striking pattern evenly spaced lines radiate from the origin the thickest lines point in the major directions of the compass this compass rose pattern appears in every stock it is caused by discreteness however counter examples demonstrate that the existence of exchange imposed tick sizes e g eighths is neither necessary nor sufficient for the compass rose the compass rose cannot be used to make abnormal profits it is structure without predictability among other consequences the compass rose may bias estimation of arch models and tests for chaos technical analysts attempt to identify recurring patterns in stock prices e g edwards and magee 1992 similarly chaos researchers embed time series of stock returns into multi dimensional spaces and attempt to identify lowdimensional attractors e g barnett and chen 1988 figure 1 the hope is that with structure comes predictability and abnormal profits in fact neither of these literatures has yet discovered indisputable structure we follow a procedure similar to a chaos researcher s we look at a simple scatter diagram of daily stock returns plotted against themselves with one day s lag we document a structural relationship the compass rose that is strikingly geometrical in contrast to the products of technical analysis and chaos theory the structure we find is indisputably present in every stock unfortunately the compass rose cannot be used for predictive purposes by market participants it is an artifact of market microstructure it follows that even a successful search for significant structure in stock market data need not enhance predictability nor lead to abnormal profits an equally important lesson is that microstructure effects can be spectacular in daily and even weekly data several areas for future research are given these include potential biases caused by the compass rose in the estimation of autoregressive conditional heteroskedasticity arch models and in a standard test for chaos

what s not there odd lots and market data we investigate odd lot trades in equity markets odd lots are increasingly used in algorithmic and high frequency trading but are not reported to the consolidated tape or in databases such as taq in our sample the median number of odd lot trades is 24 but in some stocks odd lots are 60 or more of trading odd lot trades contribute 35 of price discovery consistent with informed traders using odd lots to avoid detection omitting odd lot trades leads to inaccuracies in order imbalance measures and makes sentiment measures unreliable excluding odd lots from the consolidated tape raises important regulatory issues

an analysis of trade size clustering and its relation to stealth trading abstract nyse and nasdaq trades increasingly cluster on multiples of 500 1 000 and 5 000 shares such clustering varies over time and across stocks and tends to increase with the level of trading activity furthermore rounded trades tend to have more persistence both in occurrence and in trade initiation finally medium sized rounded trades tend to have greater relative price impact than large rounded trades from these observations we surmise that trade size clustering is consistent at least in part with the actions of stealth traders who tend to use medium sized rounded transactions in an attempt to disguise their trades

bank deposit rate clustering theory and empirical evidence the market prices of stocks and other assets tend to cluster on round fractions a similar clustering is found in the interest rates paid on retail bank deposits however the theoretical rationales given for asset price clustering are incompatible with the clustering of retail deposit rates this paper proposes a theory based on depositors limited recall it shows that when banks exploit this phenomenon deposit rates will tend to be set at round fractions and will be relatively sticky at these levels the implications of this theoretical model are tested using money market deposit account and retail certificate of deposit interest rate data from a sample of more than 500 banks