Evidence on the arbitrage efficiency of SPI index futures and options markets

This paper is concerned with arbitrage opportunities in the futures and futures option contracts traded on the Sydney Futures Exchange (SFE) within a put-call-futures-parity (PCFP) framework. Tick-by-tick transaction price data are employed so that the futures contracts, the call futures options and the put futures options can be matched within a one-minute interval. This paper also takes into account the realistic transaction costs that an arbitrager has to incur, including the implicit bid-ask spread. A thorough ex post analysis is first carried out. The results reveal a significant number of violations of the PCFP in the sample. Ex ante tests are then conducted whereby ex post profitable arbitrage strategies, signified by the matched trios of futures, put and call contracts, are executed with lags up to 3 min. The ex ante results are similar to the ex post results. However, further analysis reveals that the exploitability of the identified arbitrage opportunities is very limited due to the small trading volumes of the futures and options contracts. Thus, we conclude that there is no strong evidence against the arbitrage efficiency between the SPI index futures and options markets in Australia.      

Short Selling and Index Arbitrage Profitability: Evidence from the SGX MSCI and TAIFEX Taiwan Index Futures Markets

There are numerous impediments to market efficiency and index arbitrage in real capital markets, including the uptick rule on short selling, execution risk, market impact costs, regulatory barriers, and capital constraints. Adopting and relaxing the uptick restriction in the Taiwan stock market facilitated a study on whether adjustments in this restriction influence the efficiency and arbitrage of the Singapore Exchange Limited (SGX) and the Taiwan Futures Exchange (TAIFEX) index futures markets. This study examines the above issues using five-minute intraday transaction data and performs an ex post test of arbitrage, ex ante test of arbitrage, and regression analysis. Empirical results indicate that relaxing the uptick rule should improve market efficiency and facilitate long arbitrage, subsequently accelerating the adjustment to no-arbitrage bounds and helping to decrease ex post and ex ante mispricing and underpricing following the relaxation.     

沪深300股指期货定价误差及影响因素分析

文章运用持有成本模型、无套利定价原理以及回归分析,分别对日交易数据、日内5分钟数据对我国沪深300股指期货的定价误差及影响定价误差幅度的因素进行了实证研究,研究表明我国沪深300股指期货的价格在大多数时间是偏高的,在考虑套利成本的情况下,股指期货的定价在大多数时间是有效率的,但是在股票市场大幅波动的时段,股指期货的定价在存在较大幅度的定价误差。从影响股指期货定价误差幅度的因素来看,距到期日越远定价误差越大,现货指数波动越剧烈定价误差越大,股指期货持仓量对定价误差没有显著影响,加息对定价误差的影响跟加息日期有关。     

Examining the Equilibrium Relationship Between the Shanghai 50 Stock Index Futures and the Shanghai 50 ETF Options Markets

Based on the put-call-futures parity model, this article studies the equilibrium relationship between the Shanghai 50 stock index futures and the Shanghai 50 Exchange-Traded Fund (ETF) options markets by analyzing the arbitrage opportunities and profits between these two derivative markets. This article reveals that the cost spread, option volatility, days from the expiration date, moneyness of options, trading strategy, and policy factors all have a great impact on the arbitrage profits and opportunities. In addition, significant arbitrage profits and opportunities indicate violations of put-call-futures parity. Although no equilibrium relationship exists between the Shanghai 50 stock index futures and the Shanghai 50 ETF options markets, efficiency in these markets has gradually improved.     

Futures Options and the Volatility of Futures Prices

Assuming nonstochastic interest rates, European futures options are shown to be European options written on a particular asset referred to as a futures bond. Consequently, standard option pricing results may be invoked and standard option pricing techniques may be employed in the case of European futures options. Additional arbitrage restrictions on American futures options are derived. The efficiency of a number of futures option markets is examined. Assuming that at-the-money American futures options are priced accurately by Black's European futures option pricing model, the relationship between market participants' ex ante assessment of futures price volatility and the term to maturity of the underlying futures contract is also investigated empirically.     

Tests of alternate models for the pricing of Korean Treasury bond futures contracts

It is known that KTB futures contracts are significantly underpriced when the model price is calculated using the ad hoc cost-of-carry model employed in industry. This paper examines whether this underpricing phenomenon is caused by using the wrong model to price the futures contracts. This paper documents that the difference between the model price and the market price of KTB futures decreases substantially if the correct term–structure-based model is used to estimate the model price of KTB futures. In addition, even though the underpricing phenomenon can be exploited to generate some trading profits, the profits cannot be regarded as arbitrage profits. Thus, we believe that the underpricing phenomenon is illusory, and that much of it can be attributed to the wrong model being used in the industry.     

Index arbitrage and the pricing relationship between Australian stock index futures and their underlying shares

This paper examines the mispricing of Australian stock index futures. Exogenous and endogenous price volatility is confirmed to have a positive impact on the mispricing spread, after filtering out predictable time series components. More accurate pricing associated with surprise trading volume in the underlying stocks is consistent with arbitrageurs acting to narrow price disparities relative to the futures market. Ex‐ante interest rate volatility is the primary source of risk faced by arbitrageurs and fluctuations in the transaction cost of opening index arbitrage positions influence the extent to which they drive prices towards theoretical fair values.     

The International Transmission of Arbitrage Information Across Futures Markets

Abstract:   This paper examines whether deviations from a domestic spot‐futures relation, as identified through mispricing series in stock index futures, spillover international boundaries. Such spillovers suggest that information from a mispricing series in one market conveys a signal of similar mispricing in another market. In the presence of arbitrage traders and in the absence of market frictions, mispricing series should be independent across international boundaries. The study employs a VAR analysis of stock index futures mispricing across three large futures markets – Australia, the UK and the USA. Using time zone differences, tests are conducted for the daily transmission of arbitrage information. The results reveal the relationship between mispricing series is bi‐directional. Based on this finding, a trading strategy is employed to examine the economic significance of apparent profits. The results show that some profits are possible after transaction costs but that a long horizon, probably beyond the scope of most traders, is required to exploit the spillover information.     

Price Expectation and the Pricing of Stock Index Futures

Capital markets are not perfect or frictionless, and arbitrage mechanism cannot be complete, particularly for index arbitrage. This study constructs a theoretical foundation to explain why the price expectation of the underlying asset should be entered into the pricing formula of stock index futures. The price expectation and incompleteness of arbitrage then are taken into account to develop a pricing model of stock index futures in imperfect markets. This study also presents three approaches for estimating the model parameter. Finally, the concept of the degree of market imperfection is defined and the valuation model is provided.     

Stock index futures arbitrage in emerging markets: Polish evidence

The efficiency of the market for stock index futures and profitability of arbitrage for contracts on the Warsaw Stock Exchange Index WIG20 is studied in this paper. The Polish market has unique attributes: in a relatively short time the risk-free interest rate has decreased significantly, short sale cannot be used to construct an arbitrage position by institutional investors, and the dividends are small and paid in an irregular manner. Examining intraday transaction data shows that ex post and ex ante violations for short arbitrage reveal almost all properties of a mature market. Nonetheless, findings for long arbitrage indicate inefficiency of the market.     

Measuring Pricing Inefficiencies Under Stressful Market Conditions

This study examines the mispricing and time between arbitrage trades of the Hong Kong Hang Seng index futures and index options contracts under various stressed market conditions. Ex‐ante trading profits and differences in time between trades across up and down as well as stressed and non‐stressed markets are used to measure how well the derivative markets perform under emotional distress. We find evidence of illiquidity in stressed and down markets. In stressful markets and down markets, liquidity suppliers are less likely to trade against the informed traders. This, in turn, leads to longer time between trades and higher arbitrage profits.     

Arbitrage risk and market efficiency

This article explores arbitràge risk and models a testable hypothesis for studies in the treasury bill futures market efficiency. The modern mean-variance theory applied to a hedged arbitrage portfolio is used for the analysis. For a given expected arbitrage profit, we derive minimum variance arbitrage (MVA) conditions. A minimum variance arbitrage line (MVAL) is then derived to show the risk-return tradeoff for arbitrage. Market efficiency conditions are discussed by taking into account arbitrage risk along with bid-ask spreads. The analysis in this study helps explain the puzzle of inefficiencies in the T-bill futures market. Because refinancing and variation margin (due to marking-to-market) are required for arbitrage using futures trading in general, our ex ante arbitrage model using the case of T-bill futures can be applied to other futures markets.     

Futures trading volume as a determinant of prices in different momentum phases

Recent studies contend that trading volume has predictive power for ex ante stock prices, particularly small stocks that do not react quickly to macroeconomic information. This study postulates that a significant amount of macro-information that flows on to stock markets is derived from derivative markets. We examine the impact of short-term futures trading volume and prices on cash stock prices using a case study of 15-min data from the Australian stock index futures market which reports actual trading volume. After applying vector error correction modelling (VECM), variance decomposition and impulse functions, we conclude that futures prices provide a short-term information lead to stock prices that dominates trading volume effects. We also observe asymmetric changes in the impact of trading volume between bull and bear price momentum phases and after large trading volume shocks. These results suggest that, in future, studies on trading volume should control for the cross-correlation impact from derivative prices and the differential impact of trading phases.     

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。     

The Determinants of Execution Costs in Short‐Term Money Markets

Prior research attributes the observed negative relation between execution costs and trade size in opaque markets to two factors—information asymmetry and broker‐client relationships. We provide evidence that a trader's ex ante transaction price information and the relationship traders have with their brokers are both significant determinants of a trader's execution costs in an opaque market; however, traders who establish strong relationships with their brokers will achieve a greater reduction in execution costs than traders with ex ante transaction price information. We also find evidence that trade size has little explanatory power after controlling for a trader's ex ante transaction price information and broker‐client relationships.     

存在市场摩擦条件下股指期货定价模型及其应用——以沪深300股指期货为例

依据无套利原理,考察存在市场摩擦条件下股指期货定价模型,并将其应用于我国股指期货市场,构建沪深300股指期货套利模型。该套利模型考虑了现实中存在的交易成本、借贷利差等市场摩擦因素对套利机会的影响,从而在实务中具有一定的参考价值。     

Price discovery in spot and futures markets: a reconsideration

We reconsider the issue of price discovery in spot and futures markets. We use a threshold error correction model to allow for arbitrage opportunities to have an impact on the return dynamics. We estimate the model using quote midpoints, and we modify the model to account for time-varying transaction costs. We find that (a) the futures market leads in the process of price discovery and (b) the presence of arbitrage opportunities has a strong impact on the dynamics of the price discovery process.     

A note on execution costs for stock index futures: Information versus liquidity effects

This paper examines execution costs and the impact of trade size for stock index futures using price-volume transaction data from the London International Financial Futures and Options Exchange. Consistent with Subrahmanyam [Rev. Financ. Stud. 4 (1991) 17] we find that effective half spreads in the stock index futures market are small compared to stock markets, and that trades in stock index futures have only a small permanent price impact. This result is important as it helps to better understand the success of equity index products such as index futures and Exchange Traded Funds. We also find that there is no asymmetry in the post-trade price reaction between purchases and sales for stock index futures across various trade sizes. This result is consistent with the conjecture in Chan and Lakonishok [J. Financ. Econ. 33 (1993) 173] that the asymmetry surrounding block trades in stock markets is due to the high cost of short selling and the general reluctance of traders to short sell on stock markets.     

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.     

Index Options-Futures Arbitrage: A Comparative Study with Bid/Ask and Transaction Data

We can infer from bid/ask quotations and transaction prices that where options contracts are traded under a competitive open‐outcry market‐making system, the options and futures markets are dynamically efficient. Ex‐ante analysis shows that potential arbitrage opportunities disappear within five minutes. Transaction price data understate both the frequency and magnitude of arbitrage opportunities that are signaled by bid/ask quotes. Quotes stale fast, so opportunities are short‐lived and some of the arbitrage opportunities are deceptive. Nonetheless, the evidence suggests that bid/ask quotes provide valuable trading signals to arbitrageurs. Profitability from exploiting the quotes is negatively related to execution delay and execution risk.