Empirical Analyses of Three Explanations for the Positive Autocorrelation of Short-Horizon Stock Index Returns

This paper provides empirical analyses of three explanations for the observed positive autocorrelation of short-horizon stock index returns, using NYSE/AMEX and NASDAQ data. Results indicate that index autocorrelation cannot be substantially explained by either autocorrelated, time-varying expected returns, or nonsynchronous trading. The third explanation for index autocorrelation, the nonsynchronous information transfer hypothesis, states that stocks incorporate market-wide information on a nonsynchronous basis due to information and transaction costs. Evidence from analyses of mean returns on various portfolios following large returns on the S 500 futures contract, as well as regressions of portfolio returns on current and lagged futures returns, support this explanation. Small (large) firms collectively require approximately 7 (1-2) weeks to fully incorporate new market information on average, and this delayed impoundment accounts for the bulk of the observed autocorrelation.     

Index-futures arbitrage and the behavior of stock index futures prices

This article examines intraday transaction data for S&P500 stock index futures prices and the intraday quotes for theunderlying index. The data indicate that the futures price changesare uncorrelated and that the variability of these price changesexceeds the variability of price changes in the S&P 500index. This excess variability of the futures over the indexremains even after controlling for the nonsynchronous pricesin the index quotes, which induces auto-correlation in the indexchanges. We advance and examine empirically two hypotheses regardingthe difference between the futures price and its theoreticalvalue: that this 'mispricing' increases on average with maturity,and that it is path-dependent. Evidence supporting these hypothesesis presented.     

Studies of the 1987 stock market crash: Review and appraisal

Within four months of the stock market crash on October 19, 1987, there were six studies of what happened. The Brady Commission, the Commodity Futures Trading Commission, the Securities and Exchange Commission, the General Accounting Office, the New York Stock Exchange, and the Chicago Mercantile Exchange all produced reports that described and analyzed the Crash, and in some cases made recommendations for additional regulation. This paper examines the conclusions and analyses contained in these reports and provides a summary of their recommendations. Particular attention is given to the allegation that stock index futures trading was a significant factor in the Crash. In addition, the recommendations that higher margins be imposed on futures transactions and that formal trading halts be instituted in both the futures and stock markets are discussed in depth. A major conclusion of this review is that new market-making procedures are needed to cope with the growing institutionalization of trading in equity and equity-derivative markets. Columbia University     

Kalman filter estimation for valuing nontrading securities,with applications to the MMI cash-future spread on October 19 and 20, 1987

The Kalman filter is proposed as a method for estimating the value of nontrading securities during periods when other securities are trading. The method also provides confidence intervals that indicate the degree of uncertainty regarding estimated value. The method is applied to the Major Market Index during the principal days of the 1987 stock market crash. Our results indicate that nonsynchronous trading explains a small but significant portion of the cash-futures spread that prevailed during these days.     

Degree of Integration Between Brent Oil Spot and Futures Markets: Intraday Evidence

We investigate the integration of oil spot and futures markets using matched, intraday data to avoid nonsynchronous trading issues. Our evidence indicates highly integrated spot and futures markets. Economic shocks that arise in spot markets are quickly transmitted to the futures markets approximately one-for-one. Most of the reaction occurs within minutes. Similarly, economic shocks arriving in futures markets are transmitted to spot markets one-for-one, once again, within minutes consistent with market efficiency. In general, our findings indicate well-functioning, well-integrated spot and futures oil markets that are informationally efficient and that perform the functions of both price discovery and risk transfer. To the best of our knowledge, this is the first article to work with precisely matched customized data in futures markets, specifically oil futures markets.     

The Influence of Information Arrival on Market Microstructure: Evidence from Three Related Markets

This study examines the influence of information arrival on market microstructure for the MMI, NYSE, and S&P 500 stock index futures markets, with special emphasis on the effects of opening and closing of trading and expiration of contracts on price movements and trading activities. The results of the examination show that although the opening of the (MMI) futures market is associated with higher volatility, it is when the spot market opens that volatility reaches its highest level. Similarly, the closing of the futures markets, though more volatile, is not as volatile as the closing of the spot markets. Trading patterns, on the other hand, are distinct from volatility. For MMI, trading declines consistently after the close of the spot market. In contrast, the NYSE and S&P 500 continue to trade and reach a peak at the close of the futures markets. Expiration effects are evidenced by the increase in volatility and trading near the closing of the MMI and the spillover to the NYSE and S&P 500. In sharp contrast, the expirations of the NYSE and S&P 500 are only assooiated with decrease in trading, suggesting that efforts to dampen volatility by changing expiration days from Friday to Thursday and shifting settlement price from Friday close to Friday open, have been successful.     

The innovations of e-mini contracts and futures price volatility components: The empirical investigation of S&P 500 stock index futures

The effect of the initiation of e-mini stock index futures (ESIFs) on the volatility components of S&P 500 stock index futures is herein investigated. The study decomposes S&P 500 stock index-related observed volatilities into unobserved fundamental volatility and transitory noise and utilizes the decomposition to test two hypotheses: the “clientele factor hypothesis” and the “information adjustment hypothesis”. The first hypothesis proposes that the ESIFs attract more noisy traders who prefer trading the friendly-size futures contracts. The second one proposes that the innovations of ESIFs improve the information flow of the futures markets. Using a stochastic volatility model, the empirical results are consistent with both of our proposed hypotheses.     

THIN TRADING AND THE ESTIMATION OF BETAS: THE EFFICACY OF ALTERNATIVE TECHNIQUES

Infrequent trading induces biased estimates of the beta risk coefficient. This paper reports on the efficacy of approaches that seek to correct for this bias and documents the extent of thin trading among New Zealand securities. Parameter estimates free of the thin-trading bias are obtained. These are compared with estimates obtained using ordinary least squares (OLS) applied in the conventional manner to nonsynchronous data, with and without bias-correcting procedures. OLS beta estimates are found to be less biased, more efficient, and as consistent when compared with Dimson or Scholes-Williams estimators. Lower beta estimates are associated with lower trading frequencies.     

Intraday Price Discovery in the DJIA Index Markets

Abstract:  This paper explores the dynamics of price discovery between the Dow Jones Industrial Average (DJIA) index and its three derivative products: the DIAMOND exchange-traded fund (ETF), the floor-traded regular futures, and the electronically traded mini futures. Even though the American Stock Exchange is the primary listing exchange for the ETF, the analysis indicates that the electronically traded ETF on the Archipelago (ArcaEx) electronic communications network dominates the price discovery process for DIAMOND shares. The E-mini futures contribute the most to price discovery, followed by the ArcaEx DIAMOND. The DJIA index and regular futures contribute least to price discovery. The analysis is repeated using the derivatives of the S&P 500 index as a robustness check. The results indicate that multi-market trading ensures greater pricing efficiency. Informed traders favor electronic trading because of immediate and anonymous trade execution.     

股指期货创新中的投资者保护探讨

股指期货的推出,在交易机制和违规行为等方面,均对投资者产生了一定影响,因此股指期货创新中的投资者保护应成为其应有之义。本文认为股指期货在杠杆交易、双向交易和到期日制度方面会对投资者造成一定影响;另外在信息敏感性和跨市场联动性等方面也会对投资者造成影响。当前股指期货市场对投资者保护主要从投资者适当性,风险揭示和保护基金三方面着力,有待扩展和深化。本文在借鉴美国、日本、香港等成熟股指期货市场投资者保护立法及实践的基础上,提出了完善我国股指期货投资者保护的一些建议。     

Nonsynchronous Security Trading and Market Index Autocorrelation

The theoretical portfolio autocorrelation due solely to nonsynchronous trading is estimated from a derived model. This estimated level is found to be substantially less than that observed empirically. The theoretical and empirical relationship between portfolio size and autocorrelation also is investigated. The results of this study suggest that other price-adjustment delay factors in addition to nonsynchronous trading cause the high autocorrelations present in daily returns on stock index portfolios.     

Trading activity in the equity market and its contingent claims: An empirical investigation

Little is known about the joint dynamics of volume across the various contingent claims on the equity market. We study the time-series of trading activity in the cash S&P 500 index and its derivatives (options, the legacy and E-mini futures contracts, and the ETF), and consider their dynamic relation with the macroeconomy, over more than 3000 trading days during 1997–2009. Legacy futures volume has trended downward while other series have trended upward. Total futures volume has increased, suggesting that the trading in the legacy contract has been at least partially supplanted by trading in the E-mini contract. All series are highly cross-correlated and jointly dependent. Signed and absolute trading activity in contingent claims (most prominently, options) predicts shifts in aggregate state variables such as the short interest rate, and the term and credit spreads, as well as signed and absolute returns around major macroeconomic announcements. Overall, consistent with the informational role of options, their volume innovations have the strongest forecasting ability for fluctuations in the macroeconomic environment.     

Feedback trading in stock index futures: Evidence from South Africa

This study tests whether investors and speculators in stock index futures contracts on the South African stock market use feedback trading strategies. Feedback trading can be destabilizing and impede on the risk mitigation and price discovery functions of futures contracts. Using the Sentana and Wadhwani (1992) model, and accounting for the global financial crisis, we find no evidence of feedback trading in the Top40 futures index or the Top40 mini futures index contracts. Our findings have important implications for investors who wish to use index futures to mitigate risk or exploit arbitrage opportunities and regulators concerned about the destabilizing effects of futures trading.     

International transmission of information: evidence from the Euroyen and Eurodollar futures markets

This paper examines the information transmission between Japan and the US by using the Tokyo Euroyen and Chicago Eurodollar futures. These two interest rate futures markets provide a better understanding of international information transmission than stock markets, which have been shown to exhibit nonsynchronous trading and market segmentation. The results show that traders in Tokyo (Chicago) use information that is revealed overnight in Chicago (Tokyo). The bivariate EGARCH-t model provides no evidence of volatility spillovers in either direction, suggesting that the opening price rapidly reflects foreign information. The overall results support the hypothesis that the domestic market efficiently adjusts to foreign news. The results are also broadly consistent with the covered interest arbitrage effects.     

限制交易政策如何影响期现关系?——对股指期货价格发现功能的实证检验

本文利用2015年中国股市大幅下跌期间,对股指期货严格限制交易政策这一独特事件前后的高频数据,研究限制交易政策对股指期货与股票市场价格引导关系的影响。利用I-S模型和分位数回归方法的实证结果表明:限制交易政策实施前,股指期货对股票市场的价格影响更强,尤其表现在价格急剧下跌时期;限制交易政策显著增加了期货市场交易成本,从而降低了期货市场的信息份额,削弱了其对股票市场的价格影响,并且改变了期货价格对现货价格“助跌强于助涨”的影响模式,增强了股指期货在价格上涨时对股票市场的影响。研究结果一方面直接量化了期货交易成本变动对其价格发现功能的负面影响,另一方面也从价格引导关系的视角提供了股市危机时期股指期货限制交易政策监管效果的实证证据。     

A Likelihood Ratio Test of Price Volatilities: Comparing Stock Index Spot and Futures

This paper uses three methods to estimate the price volatility of two stock market indexes and their corresponding futures contracts. The classic variance measure of volatility is supplemented with two newer measures, derived from the Garman-Klass and Ball-Torous estimators. A likelihood ratio test is used to compare the classic variance measure of price volatilities of two stock market indexes and their corresponding futures contracts during the bull market of the 1980s. The stock market volatilities of the Standard & Poor's 500 (S&P 500) and New York Stock Exchange (NYSE) indexes were found to be significantly lower than their respective futures price volatilities. Since information may flow faster in the futures markets than in the corresponding stock market, our results support Ross's information-volatility hypothesis. It was also noted that the NYSE spot volatility was lower than the S&P 500 spot volatility. If the rate of information flow and firm size are positively related, then the lower NYSE spot volatility is explained by the size effect. The futures price volatilities for the two indexes were insignificantly different from each other. With stock index spot-futures price correlations approaching unity, one implication of our results for index futures activity is that smaller positions in futures contracts may suffice to achieve hedging or arbitrage goals.     

THE OVERNIGHT AND DAILY TRANSMISSION OF STOCK INDEX FUTURES PRICES BETWEEN MAJOR INTERNATIONAL MARKETS

Stock index futures prices for the world's major equity markets, Japan, the UK and the US, are used to examine the interaction of international equity markets. By using stock index futures prices, we avoid the nonsynchronous data problem inherent with opening and closing market averages. We find that the US is the dominant world market; overnight returns in Japan and the UK are greatly influenced by the US daily returns. In contrast, the Japanese market has no impact on the overnight or daily returns in the UK, while the UK daily performance has a small influence on Japanese overnight returns. Slight evidence of over-reaction at the opening of Japanese futures exists as the daily Nikkei returns are negatively related to the US returns.     

Price discovery on the S&P 500 index markets: An analysis of spot index,index futures,and SPDRs

This paper investigates the price discovery function in three S&P 500 index markets: the spot index, index futures, and S&P Depositary Receipts markets. Four hypotheses regarding market structure and security design are proposed to differentiate the price discovery function performed by the three index instruments. Using matched synchronous intraday trading data, Johansen's maximum likelihood estimator is employed to disclose the cointegration relationships among the three markets. Results indicate that the three price series are a cointegrated system with one long-run stochastic trend. Estimated coefficients of the vector error correction model suggest that price adjustment takes place in the spot index market and for SPDRs, but not in the futures market. When the common stochastic trend is decomposed, it is found that the futures market serves the dominant price discovery function. The leverage hypothesis and the uptick rule hypothesis explain its superior price discovery function.     

模糊厌恶下股指期货风险对冲策略设计及实证分析

投资者对股指期货与现货有着不同的模糊厌恶,本文首先将此假设条件引入带交易成本的Garleanu and Pederson (2013)投资模型中,并以指数基金对冲策略为例,构建了一个股指期货动态对冲的理论模型。与非对冲策略相比,基于上述模型设计的对冲策略投资绩效更好,动态最优成交额占目标交易额的比例更小,目标成交额对收益率预测因子的敏感性更大。借助上述模型,本文选取2010年4月至2021年6月的中国ETF指数基金和股指期货数据,并以2015年9月股指期货管理措施实施为界进行区间划分,实证研究发现:(1)中国A股市场的ETF投资组合进行股指期货对冲显著提升了投资绩效,但股指期货管理会削弱该作用;(2)投资绩效改善主要来源于交易成本的下降与目标成交额因子敏感性的提升,该机制受到股指期货管理的约束;(3)与Garleanu and Pederson (2013)、Zhang et al. (2017)相比,本文对冲策略保留“抗跌”特点的同时增加了“易涨”特性。本文研究结果表明,在当前大力发展机构投资者的背景下应不断丰富股指期货、股指期权产品谱系,降低股指期货交易成本并完善持仓约束。     

Restrictions on Short-Selling and Spot-Futures Dynamics

Recent lifting of short-sales constraints in Hong Kong provides an important opportunity to examine whether such restrictions affect the dynamic relationship between index futures and its underlying spot. The results show that the two prices have become more closely integrated without the restrictions. Adjustments to long-run equilibrium are accomplished more through index futures; however, the spot index has played an increasingly more important role in the lead-lag relationship after the deregulation. Market conditions, spot trading volumes, relative futures trading volumes and institutional participation also affect the dynamic relationship.