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     

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     

The profitability of index futures arbitrage: Evidence from bid-ask quotes

Previous studies investigated the profitability of stock index futures based on transaction price data, and could overstate the frequency of arbitrage opportunities and size of arbitrage profits. This article obtains a data base for the Hong Kong index futures and index options market that contains both real-time transaction prices and bid-ask quotes; the article further examines the bias of identifying arbitrage opportunities based on transaction prices. The article finds the percentage of observations violating no-arbitrage bounds is significantly reduced when bid-ask quotes are employed instead of transaction prices. This suggests studies that implement arbitrage strategies based on transaction prices employ prices from the wrong side of the spread. This article finds a relationship between the frequency of violations (evaluated from transaction prices) and the size of bid-ask spreads in the futures and options markets. This phenomenon indicates that a larger mispricing, which may arise when the bid-ask spread is wider, does not necessarily imply profitable arbitrage opportunity. © 1998 John Wiley & Sons, Inc. Jrl Fut Mark 18:743–763, 1998     

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 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 information content of option implied volatility surrounding the 1997 Hong Kong stock market crash

This study examines the information conveyed by options and examines their implied volatility at the time of the 1997 Hong Kong stock market crash. The author determines the efficiency of implied volatility as a predictor of future volatility by comparing it to other leading indicator candidates. These include volume and open interest of index options and futures, as well as the arbitrage basis of index futures. Using monthly, nonoverlapping data, the study reveals that implied volatility is superior to those variables in forecasting future realized volatility. The study also demonstrates that a simple signal extraction model could have produced useful warning signals prior to periods of extreme volatility. These results indicate that the options market is highly efficient informationally. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:555–574, 2007     

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     

Cash trading and index futures price volatility

This study examines the effect of cash market liquidity on the volatility of stock index futures. Two facets of cash market liquidity are considered: (1) the level of liquidity trading proxied by the expected New York Stock Exchange (NYSE) trading volume and (2) the noise composition of trading proxied by the average NYSE trading commission cost. Under the framework of spline–GARCH with a liquidity component, both the quarterly average commission cost and the quarterly expected NYSE volume are negatively associated with the ex ante daily volatility of S&P 500 and NYSE composite index futures. Conversely, liquidity and noise trading in the cash market both dampen futures price volatility, ceteris paribus. This negative association between secular cash trading liquidity and daily futures price volatility is amplified during times of market crisis. These results retain statistical significance and materiality after controlling for bid–ask bounce of futures prices and volume of traded futures contracts. This study establishes empirical evidence to affirm the conventional prediction of a liquidity–volatility relationship: the liquidity effect is secular and persistent across markets. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:465–486, 2011     

Lévy betas: Static hedging with index futures

This study considers calibration to forward‐looking betas by extracting information on equity and index options from prices using Lévy models. The resulting calibrated betas are called Lévy betas. The objective of the proposed approach is to capture market expectations for future betas through option prices, as betas estimated from historical data may fail to reflect structural change in the market. By assuming a continuous‐time capital asset pricing model (CAPM) with Lévy processes, we derive an analytical solution to index and stock options, thus permitting the betas to be implied from observed option prices. One application of Lévy betas is to construct a static hedging strategy using index futures. Employing Hong Kong equity and index option data from September 16, 2008 to October 15, 2009, we show empirically that the Lévy betas during the sub‐prime mortgage crisis period were much more volatile than those during the recovery period. We also find evidence to suggest that the Lévy betas improve static hedging performance relative to historical betas and the forward‐looking betas implied by a stochastic volatility model.     

International financial integration: Stock return linkages and volatility transmission between Vietnam and advanced countries

This paper investigates the interdependence between the Vietnamese stock market and other influential equity markets in terms of return linkage and volatility transmission covering the period including pre, during and post the 2008 Global Financial Crisis. A VAR model is utilized to estimate the conditional return linkage among these indices and a GARCH-BEKK model is employed to investigate the volatility transmission. We find evidence of statistically significant correlation, return spillover and volatility linkage between Vietnamese stock market with other leading equity markets of the US, Hong Kong and Japan. Moreover, we find that during the financial crisis, stock markets become more interrelated.     

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 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     

Stock index futures markets: stochastic volatility models and smiles

This study examined whether the inclusion of an appropriate stochastic volatility that captures key distributional and volatility facets of stock index futures is sufficient to explain implied volatility smiles for options on these markets. I considered two variants of stochastic volatility models related to Heston (1993). These models are differentiated by alternative normal or nonnormal processes driving log‐price increments. For four stock index futures markets examined, models including a negatively correlated stochastic volatility process with nonnormal price innovations performed best within the total sample period and for subperiods. Using these optimal stochastic volatility models, I determined the prices of European options. When comparing simulated and actual options prices for these markets, I found substantial differences. This suggests that the inclusion of a stochastic volatility process consistent with the objective process alone is insufficient to explain the existence of smiles. © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21:43–78, 2001     

指数期货套利交易策略设计

在期货市场上 ,指数期货是一种股票的避险工具。由于时间及其它因素 ,使得指数期货市场发生不平衡的现象 ,此一不平衡我们称之为套利空间。如何运用金融工程和信息技术来计算出其套利空间 ,为投资人赢得更多的利润 ,正是本研究的宗旨。本文针对指数期货的特性来寻找实时套利机会 ,明确地指出了买低卖高的方向及套利空间的大小 ,并给投资者设计了指数期货套利的交易策略。     

Testing mean reversion in financial market volatility: Evidence from S&P 500 index futures

This article presents a comprehensive study of continuous time GARCH (generalized autoregressive conditional heteroskedastic) modeling with the thintailed normal and the fat‐tailed Student's‐t and generalized error distributions (GED). The study measures the degree of mean reversion in financial market volatility based on the relationship between discrete‐time GARCH and continuoustime diffusion models. The convergence results based on the aforementioned distribution functions are shown to have similar implications for testing mean reversion in stochastic volatility. Alternative models are compared in terms of their ability to capture mean‐reverting behavior of futures market volatility. The empirical evidence obtained from the S&P 500 index futures indicates that the conditional variance, log‐variance, and standard deviation of futures returns are pulled back to some long‐run average level over time. The study also compares the performance of alternative GARCH models with normal, Student's‐ t, and GED density in terms of their power to predict one‐day‐ahead realized volatility of index futures returns and provides some implications for pricing futures options. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 28:1–33, 2008     

Price relations among hog,corn, and soybean meal futures

This paper examines the relations among hog, corn, and soybean meal futures price series using the Perron (1997) unit root test and autoregressive multivariate cointegration models. Accounting for the significant seasonal factors and time trends, we find the three series are cointegrated with one single cointegrating vector, whose coefficients are comparable to the ratios used by the United States Department of Agriculture (USDA). Ex‐post trading simulations that utilize the cointegration results generate significant profits, suggesting that market expectations may not fully incorporate the mean‐reverting tendencies as indicated by the cointegration relations, and that inefficiency exists in these three commodity futures markets. Results from our ex‐ante trading simulations that employ the USDA ratios also provide some evidence in this regard. © 2005 Wiley Periodicals, Inc. Jrl Fut Mark 25:491–514, 2005     

The impact of electronic trading on bid‐ask spreads: Evidence from futures markets in Hong Kong,London, and Sydney

During 1999 and 2000, three major futures exchanges transferred trading in stock index futures from open outcry to electronic markets: the London International Financial Futures and Options Exchange (LIFFE); the Sydney Futures Exchange (SFE); and the Hong Kong Futures Exchange (HKFE). These changes provide unique natural experiments to compare relative bid‐ask spreads of open outcry vs. electronically traded markets. This paper provides evidence of a decrease in bid‐ask spreads following the introduction of electronic trading, after controlling for changes in price volatility and trading volume. This provides support for the proposition that electronic trading can facilitate higher levels of liquidity and lower transaction costs relative to floor traded markets. However, bid‐ask spreads are more sensitive to price volatility in electronically traded markets, suggesting that the performance of electronic trading systems deteriorates during periods of information arrival. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:675–696, 2004     

Do individual index futures investors destabilize the underlying spot market?

This study investigates the impact of introducing index futures trading on the volatility of the underlying stock market. We exploit a unique institutional setting in which presumably uninformed individuals are the dominant trader type in the futures markets. This enables us to investigate the destabilization hypothesis more accurately than previous studies do and to provide evidence for or against the influence of individuals trading in index futures on spot market volatility. To overcome econometric shortcomings of the existing literature we employ a Markov‐switching‐GARCH approach to endogenously identify distinct volatility regimes. Our empirical evidence for Poland suggests that the introduction of index futures trading does not destabilize the spot market. This finding is robust across three stock market indices and is corroborated by further analysis of a control group. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:81–101, 2011     

Stock index futures trading and volatility in international equity markets

This article examines stock market volatility before and after the introduction of equity‐index futures trading in twenty‐five countries, using various models that account for asynchronous data, conditional heteroskedasticity, asymmetric volatility responses, and the joint dynamics of each country's index with the world‐market portfolio. We found that futures trading is related to an increase in conditional volatility in the United States and Japan, but in nearly every other country, we found either no significant effect or a volatility‐dampening effect. This result appears to be robust to model specification and is corroborated by further analysis of the relationship between volatility, trading volume, and open interest in stock futures. An increase in conditional covariance between country‐specific and world returns at the time of futures listing is also documented. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:661–685, 2000