A Study of Arbitrage Efficiency Between the FTSE‐100 Index Futures and Options Contracts

Despite the importance of the London markets and the significance of the relationship for market makers, little published research is available on arbitrage between the FTSE‐100 Index futures and the FTSE‐100 European index options contracts. This study uses the put–call–futures parity condition to throw light on the relationship between options and futures written against the FTSE Index. The arbitrage methodology adopted in this study avoids many of the problems that have affected prior research on the relationship between options or futures prices and the underlying index. The problems that arise from nonsynchroneity between options and futures prices are reduced by the matching of options and futures prices within narrow time intervals with time‐stamped transaction data. This study allows for realistic trading and market‐impact costs. The feasibility of strategies such as execute‐and‐hold and early unwinding is examined with both ex‐post and ex‐ante simulation tests that take into consideration possible execution time lags for the arbitrage trade. This study reveals that the occurrence of matched put–call–futures trios exhibits a U‐shaped intraday pattern with a concentration at both open and close, although the magnitude of observed mispricings has no discernible intraday pattern. Ex‐post arbitrage profits for traders facing transaction costs are concentrated in at‐the‐money options. As in other major markets, despite important microstructure differences, opportunities are generally rapidly extinguished in less than 3 min. The results suggest that arbitrage opportunities for traders facing transaction costs are small in number and confirm the efficiency of trading on the London International Financial Futures and Options Exchange. © 2002 John Wiley & Sons, Inc. Jrl Fut Mark 22:31–58, 2002     

Need for speed: Hard information processing in a high‐frequency world

I study the role of high‐frequency traders (HFTs) and non‐high‐frequency traders (nHFTs) in transmitting hard price information from the futures market to the stock market using an index arbitrage strategy. Using intraday transaction data with HFT identification, I find that HFTs process hard information faster and trade on it more aggressively than nHFTs. In terms of liquidity supply, HFTs are better at avoiding adverse selection than nHFTs. Consequently, HFTs enhance the linkage between the futures and stock markets, and significantly contribute to information efficiency in the stock market by reducing the delay between the stock and the futures markets.     

An examination of the complementary volume–volatility information theories

The volume–volatility relationship during the dissemination stages of information flow is examined by analyzing various theories relating volume and volatility as complementary rather than competing models. The mixture of distributions hypothesis, sequential arrival of information hypothesis, the dispersion of beliefs hypothesis, and the noise trader hypothesis all add to the understanding of how volume and volatility interact for different types of futures traders. An integrated picture of the volume–volatility relationship is provided by investigating the dynamic linear and nonlinear associations between volatility and the volume of informed (institutional) and uninformed (the general public) traders. In particular, the trading behavior explanation for the persistence of futures volatility, the effect of the timing of private information arrival, and the response of institutional traders to excess noise trading risk is examined. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 28:963–992, 2008     

Order imbalance and the pricing of index futures

This study examines whether the aggregate order imbalance for index stocks can explain the arbitrage spread between index futures and the underlying cash index. The study covers the period of the Asian financial crisis and includes wide variations in order imbalance and the indexfutures basis. The analysis controls for realistic trading costs and actual dividend payments. The results indicate that the arbitrage spread is positively related to the aggregate order imbalance in the underlying index stocks; negative order‐imbalance has a stronger impact than positive order imbalance. Violations of the upper no‐arbitrage bound are related to positive order imbalance; of the lower no‐arbitrage bound to negative order imbalance. Asymmetric response times to negative and positive spreads can be attributed to the difficulty, cost, and risk of short stock arbitrage when the futures are below their no‐arbitrage value. The significant relationship between order imbalance and arbitrage spread confirms that index arbitrageurs are important providers of liquidity in the futures market when the stock market is in disequilibrium. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:697–717, 2007     

Order imbalance and the dynamics of index and futures prices

This study uses transaction records of index futures and index stocks, with bid/ask price quotes, to examine the impact of stock market order imbalance on the dynamic behavior of index futures and cash index prices. Spurious correlation in the index is purged by using an estimate of the “true” index with highly synchronous and active quotes of individual stocks. A smooth transition autoregressive error correction model is used to describe the nonlinear dynamics of the index and futures prices. Order imbalance in the cash stock market is found to affect significantly the error correction dynamics of index and futures prices. Order imbalance impedes error correction particularly when the market impact of order imbalance works against the error correction force of the cash index, explaining why real potential arbitrage opportunities may persist over time. Incorporating order imbalance in the framework significantly improves its explanatory power. The findings indicate that a stock market microstructure that allows a quick resolution of order imbalance promotes dynamic arbitrage efficiency between futures and underlying stocks. The results also suggest that the unloading of cash stocks by portfolio managers in a falling market situation aggravates the price decline and increases the real cost of hedging with futures. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:1129–1157, 2007     

Asymmetric covariance in spot‐futures markets

This article studies how the spot‐futures conditional covariance matrix responds to positive and negative innovations. The main results of the article are achieved by obtaining the Volatility Impulse Response Function (VIRF) for asymmetric multivariate GARCH structures, extending Lin (1997) findings for symmetric GARCH models. This theoretical result is general and can be applied to analyze covariance dynamics in any financial system. After testing how multivariate GARCH models clean up volatility asymmetries, the Asymmetric VIRF is computed for the Spanish stock index IBEX‐35 and its futures contract. The empirical results indicate that the spot‐futures variance system is more sensitive to negative than positive shocks, and that spot volatility shocks have much more impact on futures volatility than vice versa. Additionally, evidence is obtained showing that optimal hedge ratios are insensitive to the well‐known asymmetric volatility behavior in stock markets. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:1019–1046, 2003     

Is it time to reduce the minimum tick sizes of the E‐mini futures?

On the Chicago Mercantile Exchange (CME), so‐called “E‐mini” index futures contracts trade on the electronic GLOBEX trading system alongside the corresponding full‐size contracts that trade on the open outcry floor. This paper finds that the current minimum tick sizes of the E‐mini S&P 500 and E‐mini Nasdaq‐100 futures contracts act as binding constraints on the bid‐ask spreads by not allowing the spreads to decline to competitive levels. We also find that, while exchange locals trade very actively on GLOBEX, they do not tend to act as liquidity suppliers. Taken together, our empirical results suggest that it is time for the CME to consider decreasing the minimum tick sizes of the S&P 500 and Nasdaq‐100 E‐mini futures contracts. A tick size reduction is likely to result in lower trading costs in the E‐mini futures markets. © 2005 Wiley Periodicals, Inc. Jrl Fut Mark 25:79–104, 2005     

Modeling seasonality in agricultural commodity futures

The stochastic behavior of agricultural commodity prices is investigated using observations of the term structures of futures prices over time. The continuous time dynamics of (log‐) commodity prices are modeled as a sum of a deterministic seasonal component, a non‐stationary state‐variable, and a stationary state‐variable. Futures prices are established by standard no‐arbitrage arguments and the Kalman filter methodology is used to estimate the model parameters for corn futures, soybean futures, and wheat futures based on weekly data from the Chicago Board of Trade for the period 1972–1997. Furthermore, in a discussion of the estimated seasonal patterns in agricultural commodity prices, the paper provides empirical evidence on the theory of storage that predicts a negative relationship between stocks of inventory and convenience yields; in particular, convenience yields used in this analysis are extracted using the Kalman filter. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:393–426, 2002     

Lower‐boundary violations and market efficiency: Evidence from the German DAX‐index options market

The informational efficiency of the market for options on the German stock index DAX is examined using intraday transactions data. Problems of previous studies on options‐market efficiency, arising from dividend estimation and the early‐exercise effect, are avoided, because the DAX is a performance index and DAX options are European options. Ex‐post and ex‐ante tests are carried out to simulate trading strategies that exploit irrational lower‐boundary violations of observed option prices. Because the lower‐boundary conditions are solely based on arbitrage considerations, the test results do not depend on the assumption that investors use a particular option‐pricing model. The investigation shows that ex‐post profits are, in general, dramatically reduced when the execution of arbitrage strategies is delayed and/or transaction costs are accounted for. However, arbitrage restrictions, which rely on short selling of the component stocks of the index, tend to be violated more often and with higher persistence. An analysis of consecutive subsamples suggests that, over time, traders have been subjected to a learning process when pricing this relatively new instrument. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20: 405–424, 2000     

Decimalization,ETFs and futures pricing efficiency

This study investigates the impact of decimalization (penny pricing) on the arbitrage relationship between index exchange‐traded funds and E‐mini index futures. The empirical results reveal that subsequent to penny pricing, there is a significant fall in the mean ex ante arbitrage profit, especially in the cases with higher transaction costs. Using the ordinary least squares and quantile regressions to control for the influences of changes in other market characteristics, it is found that the overall pricing efficiency has deteriorated in the post‐decimalization period. These results are consistent with the hypothesis that, due to the lowered market depth and increased execution risks, the introduction of decimalization has in general resulted in weakening the ability and the willingness of arbitrageurs to initiate arbitrage trades, which subsequently leads to a reduction in the general efficiency of the cash/futures pricing system. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 29:157–178, 2009     

The Costs of Arbitrage and Futures Market Trading Activity

Abstract Standardizing a futures contract’s specifications to enhance its transfer-ability is problematic for any commodity whose cash market adopts relational contracting procedures. Standardization implies the contract’s value cannot be completely determined by competitive arbitrage order flow, inhibiting the market’s price discovery function, and leaving the futures price susceptible to manipulation. These effects may result in the market’s failure. The model, based on the theory of storage, predicts that contracts with a higher spread-open position price volatility are more likely to contain a range of arbitrage indeterminacy, hence to experience difficulties in sustaining trading. The prediction is supported in an empirical examination of 104 US futures markets. The range of indeterminacy also increases the informational requirements of spread traders, reducing the effectiveness of spread arbitrage in maintaining the equilibrium intertemporal futures pricing relationship. Detailed evidence from 15 US contract markets demonstrates spread arbitrage is less effective in contract markets which subsequently fail.     

Price clustering in E‐mini and floor‐traded index futures

This article sets out to investigate price clustering in both the open‐outcry (floor‐traded) and electronically traded (E‐mini) index futures markets of the DJIA, S&P 500, and NASDAQ‐100 indices. The results show that although price clustering is ubiquitous in both the floor‐traded and E‐mini index futures markets, it nevertheless tends to be higher for open‐outcry index futures, with the clustering in floor‐traded NASDAQ‐100 index futures demonstrating the highest level (97%) at zero digits. A significant increase was also found in price clustering in floor‐traded index futures after the introduction of E‐mini futures trading. The results tend to suggest that those trading mechanisms that involve higher levels of human participation, such as the open‐outcry markets, may well lead to increased incidences of price clustering. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26: 269–295, 2006     

A No‐Arbitrage Fractional Cointegration Model for Futures and Spot Daily Ranges

The no‐arbitrage relation between futures and spot prices implies an analogous relation between futures and spot daily ranges. The long‐memory features of the range‐based volatility estimators are analyzed, and fractional cointegration is tested in a semi‐parametric framework. In particular, the no‐arbitrage condition is used to derive a long‐run relationship between volatility measures and to justify the use of a fractional vector error correction model (FVECM) to study their dynamic relationship. The out‐of‐sample forecasting superiority of FVECM, with respect to alternative models, is documented. The results highlight the importance of incorporating the long‐run equilibrium in volatilities to obtain better forecasts, given the information content in the volatility of futures prices. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 33:77–102, 2013     

Public News Arrival and Cross‐Asset Correlation Breakdown

This study models and tests empirically the role of public news arrivals in the quote matching across single‐stock futures and underlying stock markets—a trading strategy often adopted by algorithmic traders. Our model suggests that quote return correlation across these two markets breaks down when the news uncertainty is sufficiently large and futures market makers switch from automating the quote matching process to manually analyze, monitor, and update quotes. We show empirically that the breakdown is more prominent for large stocks, and this effect of firm size falls during periods of high‐market volatility. Our empirical results are robust to the effect of distraction due to extraneous news events.     

Pricing efficiency of the S&P 500 index market: Evidence from the Standard & Poor's Depositary Receipts

Standard & Poor's Depositary Receipts (SPDRs) are exchange traded securities representing a portfolio of S&P 500 stocks. They allow investors to track the spot portfolio and better engage in index arbitrage. We tested the impact of the introduction of SPDRs on the efficiency of the S&P 500 index market. Ex‐post pricing efficiency and ex‐ante arbitrage profit between SPDRs and futures were also examined. We found an improved efficiency in the S&P 500 index market after the start of SPDRs trading. Specifically, the frequency and length of lower boundary violations have declined since SPDRs began trading. This result is consistent with the hypothesis that SPDRs facilitate short arbitrage by simplifying the process of shorting the cash index against futures. Tests of pricing efficiency comparing SPDRs and futures suggested that index arbitrage using SPDRs as a substitute for program trading in general results in losses. Although short arbitrages earn a small profit on average, gains are statistically insignificant. A trade‐by‐trade investigation showed that prices are instantaneously corrected after the presence of mispricing signals, introducing substantial risk in arbitraging. Evidence in general supported pricing efficiency between SPDRs and the S&P 500 index futures—both ex‐post and ex‐ante. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:877–900, 2002     

The intra‐day price discovery process between the Singapore Exchange and Taiwan Futures Exchange

This paper focuses on the increasing competition between exchanges for listing similar index futures contracts and the impact this has on information dissemination between various markets. Specifically, using both the Hasbrouck and Gonzalo–Granger methodologies for extracting the information content held in each market, a comparison of information efficiencies between the Singapore Exchange and the Taiwan Futures Exchange is examined for Taiwan Index Futures listed in both markets. The results show not only a common stochastic trend between index futures and their underlying indices, but also provide strong evidence to suggest price discovery primarily originates from the Singapore futures market. There are direct implications of this result for both financial exchanges and traders—in particular, that traders realize price determination can arise from both futures markets, and the need for exchanges to maintain a reputation as an information center for these similarly traded financial instruments. © 2002 John Wiley & Sons, Inc. Jrl Fut Mark 22: 219–240, 2002     

Nonlinear dynamics in high‐frequency intraday financial data: Evidence for the UK long gilt futures market

Recent research investigating the properties of high‐frequency financial data has suggested that the stochastic nonlinearity widely present in such data may be characterized by heterogeneous components in conditional volatility, and nonlinear dependence of threshold autoregressive form due to market frictions. This article tests for the presence of such effects in intraday long gilt futures returns on the UK LIFFE market. Tests against the null of linearity indicate the significance of smooth transition autoregressive nonlinearities in such returns at the 5‐min frequency, which entails a first‐order autoregressive process with switching intercept. This nonlinear structure is robust to the presence of asymmetric and component structures in conditional variance, and consistent with the existence of heterogeneous traders facing different levels of transaction costs, noise trader risk, or capital constraints. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:1037–1057, 2002     

The limits to stock index arbitrage: Examining S&P 500 futures and SPDRS

This study examines factors affecting stock index spot versus futures pricing and arbitrage opportunities by using the S&P 500 cash index and the S&P 500 Standard and Poor's Depository Receipt (SPDR) Exchange‐Traded Fund (ETF) as “underlying cash assets.” Potential limits to arbitrage when using the cash index are the staleness of the underlying cash index, trading costs, liquidity (volume) issues of the underlying assets, the existence of sufficient time to execute profitable arbitrage transactions, short sale restrictions, and the extent to which volatility affects mispricing. Alternatively, using the SPDR ETF as the underlying asset mitigates staleness and trading cost problems as well as the effects of volatility associated with the staleness of the cash index. Minute‐by‐minute prices are compared over different volatility levels to determine how these factors affect the limits of S&P 500 futures arbitrage. Employing the SPDR as the cash asset examines whether a liquid tradable single asset with low trading costs can be used for pricing and arbitrage purposes. The analysis examines how long mispricing lasts, the impact of volatility on mispricing, and whether sufficient volume exists to implement arbitrage. The minute‐by‐minute liquidity of the futures market is examined using a new transaction volume futures database. The results show that mispricings exist regardless of the choice of the underlying cash asset, with more negative mispricings for the SPDR relative to the S&P 500 cash index. Furthermore, mispricings are more frequent in high‐ and mid‐volatility months than in low‐volatility months and are associated with higher volume during high‐volatility months. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 28:1182–1205, 2008     

Pricing dynamics of index options and index futures in Hong Kong before and during the Asian financial crisis

This article studies the impact of the Asian financial crisis on index options and index futures markets in Hong Kong. We employed a time‐stamped transaction data set of the Hang Seng Index options and futures contracts that were traded on the Hong Kong Futures Exchange. The results show that during the crisis period, the arbitrage profits, and the standard deviations of these profits increased in both ex‐post and ex‐ante analyses. In a market turbulent time, market volatility brings a higher arbitrage profit level. However, despite the increased market volatility, the profitability of the arbitrage trades declined substantially with longer execution time lags in the ex‐ante analysis. This suggests that the HSI futures and options markets are mature and resilient. A multiple regression analysis on the ex‐post arbitrage profit also suggests that there were structural changes during the Asian financial crisis and the Hong Kong government intervention periods. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20: 145–166, 2000     

Information and Noise in U.K. Futures Markets

This paper examines the extent to which futures price changes are driven by noise and information for three U.K. futures contracts by utilizing T. Andersen's (1996) specification of the mixture of distributions hypothesis. Use of the generalized method of moments approach demonstrates that the link between futures volume and volatility can be attributed to the flow of information. More importantly, it is shown that price movements are dominated by informed rather than noise trading for the FTSE‐100, the Long Gilt, and the Brent Oil futures contracts. The results suggest that further regulation based on the notion that noise traders dominate futures trading is unwarranted. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:711–731, 2004