a transactions data test of stock index futures market efficiency and index arbitrage profitability this paper investigates the efficiency of the market for stock index futures and the profitability of index arbitrage for the chicago board of trade s major market index contracts the spot value of the index is computed with transactions prices for the component shares of the index obtained from the fitch database the tests account for transaction costs execution lags and the uptick rule for short sales of stocks results indicate that the size and frequency of boundary violations are substantially smaller than those reported by earlier studies and have declined sharply with time index arbitrage is a strategy whereby institutions brokerage houses or other large investors seek to profit from the spread between prices in the spot and futures markets for stock indices for example an investor might purchase predetermined baskets of stocks on the floor of the new york stock exchange and simultaneously sell a related index futures contract on the floor of the chicago board of trade hoping to profit from the price differences on the two exchanges computer programs constantly monitor stock and futures prices and automatically execute buy and sell orders when it appears that a profit is possible stock index futures can be priced by a simple arbitrage argument if the dividends paid by the underlying basket of shares and interest rates are nonstochastic markets are perfect and there are no taxes the pricing equation is

do call prices and the underlying stock always move in the same direction this article empirically analyzes some properties shared by all one dimensional diffusion option models using sp options are not redundant securities nor ideal hedging instruments puts and the underlying asset prices may go down together much of the extant knowledge about option pricing is based on the assumption that the underlying asset price follows a one dimensional diffusion process examples of such option pricing models include the classic black scholes 1973 merton 1973 the cox ross 1976 constant elasticity of variance the ones studied in derman and kani 1994 rubinstein 1994 bergman grundy and wiener 1996 bakshi cao and chen 1997 2000 and dumas fleming and whaley 1998 all models in the one dimensional diffusion class share three basic properties first call prices are monotonically increasing and put prices are monotonically decreasing in the underlying asset price the monotonicity property second as the underlying asset price is the sole source of uncertainty for all of its options option prices must be perfectly correlated with each other and with the underlying asset the perfect

a new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the business cycle abstract this paper introduces a general procedure for decomposition of non stationary time series into a permanent and transitory component allowing both components to be stochastic the permanent component is shown to be a random walk with drift and the transitory or cyclical component is a stationary process with mean zero the decomposition methodology which depends only on past data and therefore is computable in real time is applied to the problem of measuring and dating business cycles in the portwar u s economy we find that measured expansions and contractions are of roughly equivalent duration and that our dating of cyclical episodes tends to lead the traditional nber dating and to a lesser extent the growth cycle chronology of zarnowitz and boschan 1977

monopoly provision of product quality with uninformed buyers abstract this essay is concerned with a monopolist s incentives to provide high quality goods when some of its customers cannot observe quality prior to purchase we show that if all buyers have the same tastes for quality the monopolist will not try to take advantage of the poorly informed when tastes differ however some quality randomization may become profitable as a means to loosen binding self selection constraints the profitability of randomization is shown to depend upon the relative degrees of risk aversion of the buyers and on the convexity of the firm s cost of quality function we view our results as pointing to some potential benefits from imperfect quality control

crop insurance in a political economy an alternative perspective on agricultural policy lawmakers often subsidize farmers in times of financial distress this article models this political impulse as a constraint on government farm policy describing how ex ante government farm insurance can deter ex post disaster relief and improve production incentives by countering the moral hazard that otherwise prevails absent ex ante government policy ex post relief takes the form of revenue insurance which prompts excessive entry into farm production and under production by operating farmers ex ante government policy can raise economic and political welfare by buying out low productivity farmers and offering profitable farmers a combination of revenue insurance price supports and a program participation fee copyright 2003 oxford university press

the temporal price relationship between s p 500 futures and the s p 500 index this paper empirically examines the intraday price relationship between s p 500 futures and the s p 500 index using minute to minute data three stage least squares regression is used to estimate lead and lag relationships with estimates for expiration days of the s p 500 futures compared with estimates for days prior to expiration the results suggest that futures price movements consistently lead index movements by twenty to forty five minutes while movements in the index rarely affect futures beyond one minute

a further analysis of the lead lag relationship between the cash market and stock index futures market the intraday lead lag relation between returns of the major market cash index and returns of the major market index futures and s p 500 futures is investigated empirical results show strong evidence that the futures leads the cash index and weak evidence that the cash index leads the futures the asymmetric lead lag relation holds between the futures and all component stocks including those that trade in almost every five minute interval evidence indicates that when more stocks move together market wide information the futures leads the cash index to a greater degree this suggests that the futures market is the main source of market wide information article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

stock index futures and index arbitrage in a rational expectations model this article analyzes the role of stock index futures and index arbitrage in a rational expectations economy with competitive stock and futures markets a simple model is developed with three types of agents who besides having different trading motives have unequal access to markets among these agents only index arbitrageurs can trade on both markets and thus engage in arbitrage the article characterizes the impact of index arbitrage on equilibrium prices volatilities and welfare it is shown that index arbitrage is a risk reallocating and price correcting mechanism its impact on price stability is shown to be dependent on the relative variability of aggregate supply in the respective markets index arbitrage also transmits information across markets copyright 1991 by university of chicago press

information and index arbitrage a random cash futures basis is derived in a dynamic multimarket learning game with sequential information shocks and strategic arbitrageurs who trade to exploit gaps in the basis statistical properties of the authors theoretical basis are derived both with and without index arbitrage the authors find that basis volatility a measure of intermarket mispricing may initially increase even as individual prices become more precise and that arbitrage reduces basis volatility the model is also used to analyze regulatory issues such as the possible impact of circuit breakers on the quality of the trading process copyright 1994 by university of chicago press

measuring true stock index value in the presence of infrequent trading based on the beveridge nelson 1981 decomposition of an arima process i present a measure of true stock index value that is not directly observable due to infrequent trading of stocks the technique is illustrated with daily observations of the russell 2000 index this new measure might well prove useful in studies of lead lag relationships between index derivatives and spot market and futures basis measurements

stock prices and volume the authors undertake a comprehensive investigation of price and volume co movement using daily new york stock exchange data from 1928 to 1987 they adjust the data to take into account well known calendar effects and long run trends to describe the process they use a seminonparametric estimate of the joint density of current price change and volume conditional on past price changes and volume four empirical regularities are found 1 positive correlation between conditional volatility and volume 2 large price movements are followed by high volume 3 conditioning on lagged volume substantially attenuates the leverage effect and 4 after conditioning on lagged volume there is a positive risk return relation article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

the microeconomics of market making this paper examines the influence of risk aversion on the pricing policies of a market maker for securities it is shown that a market maker s bid ask spread can be decomposed into a portion for the known limit orders a risk neutral adjustment for expected market orders and a risk adjustment for market order and inventory value uncertainty it is dem onstrated that a risk averse market maker may set a smaller spread than a risk neutral specialist finally this paper demonstrates the pervasive role of inventory in affecting both the placement and size ofthe spread

arbitrage in stock index futures the textbook description of arbitrage suggests that it is a straightforward matter of taking offsetting positions in different securities and realizing the arbitrage profit such descriptions however typically ignore the transaction costs that give rise to the arbitrage opportunity in the first place taking proper account of these transactions costs may considerably complicate the problem particularly when as is usually the case the arbitrage potential is restricted this article is concerned withoptimal arbitrage strategies with transaction costs when the arbitrage potential is restricted by position limits the particular case we shall analyze is the standard and poor s sp the corresponding figure for the s p 500 portfolio for the same period was

transactions volume and volatility we show that the positive volatility volume relation documented by numerous researchers actually reflects the positive relation between volatility and the number of transactions thus it is the occurrence of transactions per se and not their size that generates volatility trade size has no information beyond that contained in the frequency of transactions our results suggest that theoretical research needs to entertain scenarios in which 1 both the frequency and size of trades are endogenously determined yet 2 the size of trades has no information content beyond that contained in the number of transactions article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

trade execution costs and market quality after decimalization this study assesses trade execution costs and market quality for nyse and nasdaq stocks before and after the 2001 change to decimal pricing several theoretical predictions are confirmed quoted bid ask spreads declined substantially on each market with the largest declines for heavily traded stocks the percentage of shares receiving price improvement increased on the nyse but not on nasdaq however those trades completed at prices within or outside the quotes were improved or disimproved by smaller amounts after decimalization and trades completed outside the quotes saw the largest reductions in trade execution costs as a class effective bid ask spreads as a percentage of share price arguably the most relevant measure of execution costs for smaller trades averaged 0 33 on a volume weighted basis after decimalization for both nyse and nasdaq stocks there is no evidence of systematic intraday reversals of quote changes on either market as would be expected if decimalization had damaged liquidity supply

index futures arbitrage and the behavior of stock index futures prices this article examines intraday transaction datafor s p 500 stock indexfutures prices and the intraday quotes for the underlying index the data indicate that thefutures price changes are uncorrelated and that the variability of these price changes exceeds the variability ofprice changes in the s p 500 index this excess variability of the futures over the index remains even after controlling for the nonsynchronous prices in the index quotes which induces autocorrelation in the index changes we advance and examine empirically two hypotheses regarding the difference between the futures price and its theoretical value that this mispricing increases on average with maturity and that it is path dependent evidence supporting these hypotheses is presented

order imbalance liquidity and market returns traditionally volume has provided the link between trading activity and returns we focus on a hitherto unexplored but intuitive measure of trading activity the aggregate daily order imbalance on the new york stock exchange signed order imbalances increase decrease following market declines rises which reveals that investors are contrarians on aggregate order imbalances in either direction either excess buy or sell orders reduce liquidity market wide returns are strongly affected by contemporaneous and lagged order imbalances market wide returns reverse themselves after high negative imbalance large negative return days the magnitude of this reversal is partially predictable from the level of the imbalance and return even after controlling for aggregate market volume and liquidity market returns are affected by order imbalance

futures trading activity and stock price volatility we examine whether greater futures trading activity volume and open interest is associated with greater equity volatility we partition each trading activity series into expected and unexpected components and document that while equity volatility covaries positively with unexpected futures trading volume it is negatively related to forecastable futures trading activity further though futures trading activity is systematically related to the futures contract life cycle we find no evidence of a relation between the futures life cycle and spot equity volatility these findings are consistent with theories predicting that active futures markets enhance the liquidity and depth of the equity markets

mean reversion of standard poor s 500 index basis changes arbitrage induced or statistical illusion mean reversion in stock index basis changes has been presumed to be driven by the trading activity of stock index arbitragers we propose here instead that the observed negative autocorrelation in basis changes is mainly a statistical illusion arising because many stocks in the index portfolio trade infrequently even without formal arbitrage reported basis changes would appear negatively autocorrelated as lagging stocks eventually trade and get updated the implications of this study go beyond index arbitrage however our analysis suggests that spurious elements may creep in whenever the price change or return series of two securities or portfolios of securities are differenced mean reversion in stock index basis changes has been amply documented mackinlay and ramaswamy 1988 find significant negative first order autocorrelation in normalized intraday basis changes of the s p 500 index futures traded on the chicago mercantile exchange cme yadav and pope 1990 find similar behavior using financial times stock exchange ftse 100 index futures data from the london international financial futures exchange liffe as does lim 1990 using nikkei 225 index futures from the singapore international monetary exchange simex the trading activity of stock index arbitragers has been presumed to be driving this elastic realignment of stock index and index futures prices when the basis widens beyond its theoretical level arbitragers simultaneously sell index futures and buy the index portfolio pulling the difference between the futures and index

trade size order imbalance and the volatility volume relation abstract this paper examines the roles of the number of trades size of trades and order imbalance buyer versus seller initiated trades in explaining the volatility volume relation for a sample of nyse and nasdaq stocks our results reconfirm the significance of the size of trades beyond that of the number of trades in the volatility volume relation on both markets after controlling for the return impact of order imbalance the volatility volume relation becomes much weaker for nyse stocks the order imbalance in large trade size categories affects the return more than in smaller size categories for nasdaq stocks the largest return impact comes from the order imbalance in maximum sized small order execution system soes trades

direct tests of index arbitrage models previous tests of stock index arbitrage models have rejected the no arbitrage constraint imposed by these models this paper provides a detailed analysis of actual s p 500 arbitrage trades and directly relates these trades to the predictions of index arbitrage models an analysis of arbitrage trades suggests that i short sale rules are unlikely to affect the cashfutures mispricing ii the opportunity cost of arbitrage funds exceeds the treasury bill rate and iii the average price discrepancy captured by arbitrage trades is small tests of the models provide some support for a version ofthe arbitrage model that incorporates an early liquidation option the ability of these models to explain arbitrage trades however is surprisingly low

liquidity and the law of one price the case of the futures cash basis deviations from no arbitrage relations should be related to market liquidity because liquidity facilitates arbitrage at the same time a wide futures cash basis may trigger arbitrage trades and in turn affect liquidity we test these ideas by studying the dynamic relation between stock market liquidity and the index futures basis there is evidence of two way granger causality between the short term absolute basis and liquidity and liquidity granger causes longer term absolute bases shocks to the absolute basis predict future stock market liquidity the evidence suggests that liquidity enhances the efficiency of the futures cash pricing system copyright 2007 by the american finance association