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     

An intraday test of pricing and arbitrage opportunities in the New Zealand bank bill futures market

This paper examines pricing and arbitrage opportunities in the New Zealand bank bill futures market using an intraday data set. The key findings are: (a) the implied forward rate model yields biased estimates of the bill futures yield but the bias is small and not economically significant; (b) ex post synthetic bill opportunities are more numerous than ex post quasi‐arbitrage opportunities but the yield enhancements are minor; (c) ex post quasi‐arbitrage opportunities are substantially less frequent and less profitable than reported by prior studies using closing data; and (d) arbitrage opportunities decline when execution delays are introduced but the declines are not statistically significant. In broad terms, the bill futures market is efficient with respect to quasi‐arbitrage but less so with respect to synthetic bill opportunities. The results also suggest that arbitrage opportunities are not generally available to arbitrageurs without access to the interbank bill market. The incidence of arbitrage opportunities is on a par with levels reported in intraday studies of stock index and foreign exchange markets. This illustrates the importance of using high frequency data to assess transactional efficiency in financial markets. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:519–555, 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     

Decimalization,trading costs,and information transmission between ETFs and index futures

The impact of changes in trading costs, due to decimalization, on informed trading and speed of information transmission between exchange‐traded funds (ETFs) and their corresponding index futures is examined. ETFs began to trade in decimals on January 29, 2001, and index futures continued to trade in their original tick sizes. The focus is on whether the decrease in the minimum tick size of ETFs influences the relative performances of these two types of index instruments in the price‐discovery process. It is found that for ETFs, the trading activity increases, but the market depth drops significantly after decimalization. The spreads for ETFs generally decrease, but the adverse selection component of ETF spreads increases. Furthermore, after decimalization, ETFs start to lead index futures in the price‐discovery process and its share of information also increases. Although index futures still assume a dominant role in information discovery, the information content of the ETFs' prices improves significantly after decimalization. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:131–151, 2006     

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     

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     

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     

How electronic trading affects bid‐ask spreads and arbitrage efficiency between index futures and options

This paper examines the impact of switching to electronic trading on the relative pricing efficiency of Hang Sang Index futures and options contracts traded on the Hong Kong exchange. The study is motivated by the recent shift in 2000 from the pit to an electronic trading platform. Electronic trading leads to lower bid‐ask spreads and less price clustering than floor trading in both the options and futures markets. Mispricing between futures and options drops significantly after the change. Quicker correction of mispricing indicates a significant improvement in dynamic inter‐market arbitrage efficiency with electronic trading. © 2005 Wiley Periodicals, Inc. Jrl Fut Mark 25:375–398, 2005     

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     

The effect of the introduction of Cubes on the Nasdaq‐100 index spot‐futures pricing relationship

This paper examines the impact of the introduction of the Nasdaq‐100 Index Tracking Stock (referred to as Cubes) on the pricing relationship between Nasdaq‐100 futures and the underlying index. Observations obtained from tick‐by‐tick Nasdaq‐100 futures transactions and index value data support the hypothesis that the introduction of Cubes in March 1999 has led to improvements in the Nasdaq‐100 index futures pricing efficiency. Both the size and frequency of violations in futures price boundaries appear to be reduced. Furthermore, there appears to be an increase in the speed of the market response to observed violations. These results are attributed to the increased ease in establishing a spot Nasdaq‐100 index position after the introduction of the tracking stock. © 2002 John Wiley & Sons, Inc. Jrl Fut Mark 22: 197–218, 2002     

沪深300股指期货定价实证研究

股指期货是一种发展迅速的金融衍生产品,而合约定价问题是其重要研究方向之一。股指期货定价的基本方法是利用无套利定价原理得出的持有成本模型;而如果综合交易费用、融资成本、存贷款利差、保证金等市场因素,则可以得到股指期货的无套利定价区间。使用这两种模型对中国金融期货交易所的沪深300股指期货仿真交易合约进行实证分析,结果发现,实际交易价格和理论价格有较大偏差,市场中存在大量套利机会,定价效率有待提高。为此可以考虑的建议包括允许融资融券交易、推出沪深300指数ETF等。     

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.     

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     

Back to the future: Futures margins in a future credit default swap index futures market

The introduction of exchange‐traded credit default swap (CDS) index futures is eminent and this development in the credit market is the subject of this article. A theoretically appealing and practically implementable approach to computing accurate futures margins based on extreme value theory is suggested. The approach is then exemplified with a study of the increasingly popular iTraxx Europe CDS index market. Although this market is not organized through an exchange and is not a futures market, the empirical results together with an arbitrage argument nonetheless suggest margin levels in a future exchange‐traded CDS index futures market computed using extreme value theory to be superior to those computed using the traditional normal distribution or the actual historical distribution. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:85–104, 2007     

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.     

Can limits-to-arbitrage from bounded storage improve commodity term-structure modeling?

This paper develops and estimates a two-factor competitive storage model for the purpose of pricing commodity futures. The empirical relevance of the model is evaluated for US natural gas and crude oil futures by comparing the pricing performance to reduced form models. Results suggest jump models, both reduced form and economic, improve modeling due to incorporating pricing discontinuities. Furthermore, the economic model precludes carry arbitrage, which appears relevant for pricing natural gas futures. For crude oil, the reduced form models produce superior pricing under nonstationary market conditions, and the economic model produces superior long-dated futures pricing under stationarity.     

Optimal arbitrage strategies on stock index futures under position limits

Assuming the absence of market frictions, deterministic interest rates, and certainty in dividend payouts from the stocks in the index basket, an arbitrageur can lock in the profit of a positive (negative) arbitrage basis in a stock index futures by adopting a short (long) futures strategy. In addition, the arbitrageur may improve the arbitrage profit by adopting the so‐called early unwinding strategy of liquidating the position before maturity, or more aggressively from the long position directly to the short position or vice versa. In this study, we examine the optimal arbitrage strategies in stock index futures with position limits and transaction costs. In our analysis, the index arbitrage basis is assumed to follow the Brownian Bridge process. The model formulation of the option value functions leads to a coupled system of variational inequalities. We determine the values of the arbitrage opportunities and the optimal threshold values of the arbitrage basis at which the arbitrageur should optimally close an existing position or open a new index arbitrage position. In particular, we examine the impact of transaction costs on the index arbitrage strategies. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:394–406, 2011     

Fractional versus decimal pricing: Evidence from the UK Long Gilt futures market

This paper analyses the impact of a move from fractional to decimal pricing in the UK Long Gilt futures market, and thus offers a unique insight to tick size reduction and decimalization in a derivatives market setting. The reduced tick size leads to an increase in price clustering. The bid‐ask spread, measured in ticks, increases following the tick size reduction. However, due to a reduced tick value, the monetary value of the spread declines. There is a substantial reduction in mean trade size as reduced‐depth orders become trades. The mean daily number of transactions increases, which is entirely consistent with increased volume and decreased mean trade size. © 2005 Wiley Periodicals, Inc. Jrl Fut Mark 25:419–442, 2005     

A brighter future with lower transactions costs?

Recently, the OMX Nordic Exchange reduced the exchange fee for trading the OMXS 30 index futures with more than 22%. The reduction in exchange fees provides this study with a unique opportunity to investigate the effects of a change in fixed transaction costs on futures market liquidity, trading activity, volatility, futures pricing efficiency, and the futures exchange's revenues. The results show a ceteris paribus increase in futures trading volume with 19%, a 27% decrease in futures bid–ask spread, and a 27% increase in volatility, as a result of the futures exchange fee reduction, whereas the pricing efficiency of the futures contract and the exchange's revenues are unaffected by the change in transaction costs. The exchange fee reduction has improved futures market liquidity at the cost of higher volatility. Moreover, the attractiveness and competitiveness of the futures exchange has increased relative alternative trading venues, without a loss of revenues in the process. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 29:775–796, 2009     

Nonlinear dynamics and competing behavioral interpretations: Evidence from intra‐day FTSE‐100 index and futures data

Extant empirical research has reported nonlinear behavior within arbitrage relationships. In this article, the authors consider potential nonlinear dynamics within FTSE‐100 index and index‐futures. Such nonlinearity can be rationalized by the existence of transactions costs or through the interaction between informed and noise traders. They consider several empirical models designed to capture these alternative dynamics. Their empirical results provide evidence of a stationary basis term, and thus cointegration between index and index‐futures, and the presence of nonlinear dynamics within that relationship. The results further suggest that noise traders typically engage in momentum trading and are more prone to this behavior type when the underlying market is rising. Fundamental, or arbitrage, traders are characterized by heterogeneity, such that there is slow movement between regimes of behavior. In particular, fundamental traders act more quickly in response to small deviations from equilibrium, but are reluctant to act quickly in response to larger mispricings that are exposed to greater noise trader price risk. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:343–368, 2006