Tick sizes and relative rates of price discovery in stock,futures, and options markets: Evidence from the Taiwan stock exchange

This study examines the competition in price discovery among stock index, index futures, and index options in Taiwan. The price‐discovery ability of the Taiwan Top 50 Tracker Fund, an exchange‐traded fund based on the Taiwan 50 index is examined. The authors find that, after the minimum tick size in the stock market decreases, the bid–ask spreads of the component stocks of the stock index and the Taiwan Top 50 Tracker Fund get lower, and the contribution of the spot market to price discovery increases. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 29:74–93, 2009     

Forecasting oil price movements: Exploiting the information in the futures market

Relying on the cost of carry model, the long‐run relationship between spot and futures prices is investigated and the information implied in these cointegrating relationships is used to forecast out of sample oil spot and futures price movements. To forecast oil price movements, a vector error correction model (VECM) is employed, where the deviations from the long‐run relationships between spot and futures prices constitute the equilibrium error. To evaluate forecasting performance, the random walk model (RWM) is used as a benchmark. It was found that (a) in‐sample, the information in the futures market can explain a sizable portion of oil price movements; and (b) out‐of‐sample, the VECM outperforms the RWM in forecasting price movements of 1‐month futures contracts. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 28:34–56, 2008     

Price discovery in the foreign exchange futures market

Examination is made of the relative contributions to price discovery of the floor and electronically traded euro FX and Japanese yen futures markets and the corresponding retail on‐line foreign exchange spot markets. GLOBEX electronic futures contracts provide the most price discovery in the euro; the on‐line trading spot market provides the most in the Japanese yen. The floor‐traded futures markets contribute the least to price discovery in both the euro and the Japanese yen markets. The overall results show that electronic trading platforms facilitate price discovery more efficiently than floor trading. Futures traders may also extract information from on‐line spot prices. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:1131–1143, 2006     

Do futures lead price discovery in electronic foreign exchange markets?

Using intraday data, this study investigates the contribution to the price discovery of Euro and Japanese Yen exchange rates in three foreign exchange markets based on electronic trading systems: the CME GLOBEX regular futures, E‐mini futures, and the EBS interdealer spot market. Contrary to evidence in equity markets and more recent evidence in foreign exchange markets, the spot market is found to consistently lead the price discovery process for both currencies during the sample period. Furthermore, E‐mini futures do not contribute more to the price discovery than the electronically traded regular futures. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 29:137–156, 2009     

Price discovery and investor structure in stock index futures

Previous literature on price discovery in stock index futures and spot markets neglects the role of different investor groups. This study relates time‐varying spot‐futures linkages studied within a VECM‐DCC‐GARCH framework to changes in the investor structure of the futures market over time. Empirical results suggest that during the dominance of presumably uninformed private investors, the futures market does not contribute to price discovery. By contrast, there is evidence of information flows from futures to spot markets and a significant increase in conditional correlation between both markets as institutional investors' share in trading volume increases. We derive implications for the design of emerging futures markets. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark31:282–306, 2011     

A STRUCTURAL RISK‐NEUTRAL MODEL FOR PRICING AND HEDGING POWER DERIVATIVES

We develop a structural risk‐neutral model for energy market modifying along several directions the approach introduced in Aïd et al. In particular, a scarcity function is introduced to allow important deviations of the spot price from the marginal fuel price, producing price spikes. We focus on pricing and hedging electricity derivatives. The hedging instruments are forward contracts on fuels and electricity. The presence of production capacities and electricity demand makes such a market incomplete. We follow a local risk minimization approach to price and hedge energy derivatives. Despite the richness of information included in the spot model, we obtain closed‐form formulae for futures prices and semiexplicit formulae for spread options and European options on electricity forward contracts. An analysis of the electricity price risk premium is provided showing the contribution of demand and capacity to the futures prices. We show that when far from delivery, electricity futures behave like a basket of futures on fuels.     

Causality in the VIX futures market

This study examines the price‐discovery function and information efficiency of a fast growing volatility futures market: the Chicago Board of Option Exchange VIX futures market. A linear Engle–Granger cointegration test with an error correction mechanism (ECM) shows that during the full sample period, VIX futures prices lead spot VIX index, which implies that the VIX futures market has some price‐discovery function. But a modified Baek and Brock nonlinear Granger test detects bi‐directional causality between VIX and VIX futures prices, suggesting that both spot and futures prices react simultaneously to new information. Quarter‐by‐quarter investigations show that, on average, the estimated parameters are not significantly different from zero, thus providing further evidence supporting information efficiency in the VIX futures market. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark     

Price discovery in the German equity index derivatives markets

This article examines the intraday price discovery process among stock index, index futures, and index options in Germany using DAX index securities and intraday transactions data. The three index securities contribute to a common factor, but the spot index and index futures have substantially larger information shares than index options. Moreover, the returns of the three index securities exhibit feedback effects, with futures being dominant. Because the trading costs of the futures appear to be the lowest of the three and those of the options to be the highest, the results are consistent with the transaction cost hypothesis. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19: 619–643, 1999     

Information transmission in electronic versus open‐outcry trading systems: An analysis of U.S. equity index futures markets

In this article the intraday price discovery process between regular index futures (floor trading) and E‐mini index futures (electronic trading) in the S&P 500 and Nasdaq 100 index futures markets is examined, using intraday data from the introduction of the E‐mini index futures to 2001. Using both information shares (Hasbrouck, J., 1995) and common long‐memory factor weights (Gonzalo, J., & Granger, C. W. J., 1995) techniques, we find that both E‐mini index futures and regular index futures contribute to the price discovery process. However, since September 1998, the contribution made by E‐mini index futures has been greater than that provided by regular index futures. Based on regression analysis, we have also found direct empirical evidence to support the hypothesis that the joint effects of operational efficiency and relative liquidity determine the greater contribution made towards price discovery by electronic trading relative to open‐outcry trading over time. © 2005 Wiley Periodicals, Inc. Jrl Fut Mark 25: 679–715, 2005     

The contribution of a satellite market to price discovery: Evidence from the Singapore exchange

The Singapore Exchange (SGX), a small satellite market, successfully competes with a large home market, the Osaka Securities Exchange (OSE), in trading the Nikkei 225 futures index. In this paper, we investigate the contribution of the SGX to price discovery and shed light on the reasons for its continued success. Evidence is provided from information revelation and price discovery of three competing but informationally linked markets of the Nikkei 225 index—domestic spot (Tokyo Stock Exchange), domestic futures (OSE), and foreign futures (SGX), which represents the satellite market. Overall, the futures market contributes 77% to price discovery, with the satellite market contributing 42% of the futures and 33% of the total price discovery. These figures, surprisingly, far exceed the satellite market's share of trading volume. Support is provided for the extended trading hours on the SGX for three of the four non‐overlapping trading sub‐periods. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:981–1004, 2004     

Efficiency of the IBEX spot–futures basis: The impact of the mini‐futures

This paper considers whether the introduction of the mini‐futures contract for the Spanish Ibex index affects overall market efficiency. Using linear, non‐linear, and fractional integration modeling techniques for the basis term, results of this study suggest the following salient points. First, the equilibrium speed of adjustment is reduced after the introduction of the mini‐futures contract. This effect is particularly pronounced in the mini‐futures second year when its contracts are more heavily traded. Second, fractional integration tests support longer memory in the basis term after the contract introduction, again particularly in the second year. Third, the relationship between the full‐size and mini‐futures contracts appears highly efficient, with a quick speed of adjustment and short memory. Finally, an examination of the volatility dynamics suggests that in the second year of the mini‐futures contract shocks to spot return volatility exhibit longer memory. The results reported here suggest that the increased use of the mini‐futures contract after its introduction has had a detrimental impact on price discovery. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 28: 398–415, 2008     

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.     

Information content of extended trading for index futures

The recent extension of trading hours for Hang Seng Index Futures provides an opportunity to examine whether extended futures trading contains useful information about spot returns. Using the weighted price contribution measure, we find that pre‐open futures trades are associated with significant price discovery. We extend the model from T. Hiraki, E. D. Maberly, and N. Takezawa (1995) and adjust for the existence of a pre‐open trading session and the overnight trading of cross‐listed shares in London. Our results indicate that extended trading for index futures contains useful information in explaining subsequent spot returns during the trading day. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:861–886, 2004     

Valuing real options using implied binomial trees and commodity futures options

A real option on a commodity is valued using an implied binomial tree (IBT) calibrated using commodity futures options prices. Estimating an IBT in the absence of spot options (the norm for commodities) allows real option models to be calibrated for the first time to market‐implied probability distributions for commodity prices. In addition, the existence of long‐dated futures options means that good volatility estimates may now be incorporated into capital budgeting evaluations of real options projects with long planning horizons. An example is given using gold futures options and a real option to extract gold from a mine. A detailed out‐of‐sample test is included that shows how IBT option pricing errors evolve on subtrees emanating from future levels of the underlying asset. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:203–226, 2007     

上海燃料油期货价格发现功能研究——基于GS模型的实证分析

本文选择相关系数、协整检验、误差修正模型、Granger因果检验、Garbade-Silber模型对上海燃料油期货市场价格发现功能发挥和价格引导情况进行递进、全面的分析,实证结果显示上海燃料油期货价格与国内现货价格之间存在协整关系,燃料油期货价格发现功能得到一定程度发挥,但仅存在现货价格对期货价格的单向引导关系,且在价格发现功能中,现货价格起着决定性的作用。     

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     

Has the introduction of S&P 500 ETF options led to improvements in price discovery of SPDRs?

This study sets out to investigate trading in Standard and Poor's Depository Receipt Trust Series I (SPDR) options and the impact on the price‐discovery process of SPDRs. The empirical results reveal a significant rise in liquidity within the SPDR market following the introduction of SPDR options. Furthermore, the results also show that the introduction of SPDR options has led to a significant improvement in the information share of SPDRs, and that the contribution of SPDRs to price discovery has become very close to that of E‐mini index futures. These findings imply that developments in the derivatives market can lead to improvements in market quality, including the level of liquidity and price discovery of the underlying securities. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 32:683–711, 2012     

Pricing Eurodollar Futures Options with the Heath—Jarrow—Morton Model

This article uses the algorithm developed by Ritchken and Sankarasubramanian (1995) to make comparisons among the Heath—Jarrow—Morton (HJM) models (Heath, Jarrow, & Morton, 1992) with different volatility structures in pricing the Eurodollar futures options. We show that the differences among the HJM models as well as the difference between the HJM models and Black's model can be insignificant when the volatility of the forward rate is relatively small. Moreover, our findings imply that the difference between the American‐style and European‐style options is insignificant for options with a life of less than 1 year. However, the difference can be significant for options with a 1‐year maturity, the difference depending on the exercise price. Finally, our tests indicate that the difference between the forward price and the futures price is insignificant if the volatility parameter is low enough and when the volatility of the spot rate is proportional to the spot rate. A higher volatility parameter can lead to a significant difference between the forward price and the futures price, although its impact on the price of the options will still be trivial. © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21: 655–680, 2001     

Quantile information share

This paper presents a new method to estimate Hasbrouck-type market information share in price discovery. The prevailing market information share is calculated on the basis of conditional mean. We propose a conditional quantile regression approach to obtain a new market information share measure, quantile information share, which varies across the combinations of different price quantiles. The method is illustrated with two data sets, one on the spot and futures markets in pricing S&P 500 equity index, and the other on price discovery for a cross-listed stock.     

最低收购价政策改革背景下小麦期货市场价格发现功能再检验

通过构建最低收购价政策影响下小麦期现货市场的价格传导机制的理论框架,并选取2015年我国小麦最低收购价政策改革前后两个时期各4年的周度数据,使用ADF单位根检验、Johansen协整检验、Granger因果关系检验和方差分解对最低收购价政策改革背景下小麦期货市场的价格发现功能进行实证研究。研究结果表明:无论是强麦还是普麦,最低收购价政策改革对于小麦期货价格与现货价格均衡关系的形成均具有促进作用;在最低收购价政策改革之前,强麦期货市场不具有价格发现功能,之后这种功能才得以形成,同时普麦期货市场的价格发现功能变得更为显著;小麦期货市场的影响力强于现货市场,在价格发现功能中占据主导作用。