Efficient Estimation and Testing of Alternative Models of Currency Futures Contracts

An efficient systems approach is used to estimate and test two alternative models regarding the pricing of Australian dollar futures contracts traded on the International Monetary Market of the Chicago Mercantile Exchange. Cointegrating relationships among the Australian dollar spot and futures prices, and the US and Australian risk-free rates of interest, suggest alternative error-correction representations for the cost-of-carry model which, with appropriate zero restrictions, yields the unbiased expectations hypothesis. A structural break in the futures price series permits estimation of appropriate models for the full sample in the presence of the break, for the full sample without explicitly modelling the break, and for two separate sub-samples created by the structural break. The restricted and unrestricted cost-of-carry formulations are estimated for all sample sets, the models obtained are found to be statistically adequate, and the qualitative results are reasonably robust across different sample sets for both models. On the basis of the tests of zero restrictions, the cost-of-carry model is found to be empirically superior to the unbiased expectations hypothesis for the four sample sets considered, regardless of the number of cointegrating relations.     

Testing the martingale difference hypothesis in CO2 emission allowances

This study examines the martingale difference hypothesis (MDH) for the carbon emission allowance market within the European Union Emission Trading Scheme (EU ETS) during the Phase I and the Phase II, using both daily and weekly data over the 2005–2009 period. We analyze the MDH for spot prices negotiated on BlueNext, European Energy Exchange and Nord Pool along with futures prices negotiated on BlueNext and European Climate Exchange, using the new variance ratio tests developed by Kim (2009) and the generalized spectral test proposed by Escanciano and Velasco (2006). For the Phase I, the results show that the spot price changes of these three markets are predictable, suggesting the possibility of abnormal returns through speculation, except during the period April 2006 to October 2006, namely after the compliance break and before the ECs of stricter NAP II. Finally, we find that the CO₂ spot and futures price changes are unpredictable during the Phase II because we failed to reject the MDH based on both daily and weekly data. Thus, these markets are found to be weak-form efficient.     

Are crude oil spot and futures prices cointegrated? Not always!

In previous studies, the cointegration relationships between crude oil spot and futures prices are confirmed based on Johansen (1988) test and vector error correction model (VECM). These conventional methods assume that the process of long-run equilibrium adjustment is linear. This paper revisits this topic employing nonlinear threshold VECM to take into account the nonlinear dynamics of equilibrium adjustment. Our results show that crude oil spot and futures prices are cointegrated only when the price differentials are larger than the threshold value. Moreover, we use a multi-frequency analysis based on low-pass filtering with different cut-off frequencies. The main findings indicate that the relationships between spot and futures prices are different between in the short-term and in the long-term. In the short-term, futures price plays the major role in the formation of long-run equilibrium (error correction mechanism). In the long-term, both spot and futures prices contribute to the dynamics of long-run equilibrium.     

碳排放权交易市场的信息流动关系——基于EUA市场和CER市场的实证研究

基于Granger因果关系检验方法和MGARCH-BEKK模型,从报酬溢出和波动溢出的角度,研究国际碳排放权交易市场中的主要商品———EUAs和sCERs各自的期货价格与现货价格之间以及两者的期货价格之间的信息流动关系。结果表明:两个市场的现货市场始终都处于价格信息中心,期货市场的价格发现功能较弱甚至未体现;信息波动溢出方面,EUA市场中期货市场处于波动信息中心,而CER市场中现货市场处于波动信息中心;EUA的期货市场与CER的期货市场之间存在相互的价格溢出效应与波动溢出效应,但EUA市场的期货价格对CER市场具有更大的波动溢出效应。     

Market efficiency in the Spanish derivatives markets: An empirical analysis

This paper analyzes Granger caUSAlity between daily prices of the Spanish stock index (Ibex 35) and its futures contract using Johansen cointegration methodology. The study differentiates between short-run and long-run caUSAlity. The empirical results prove that, in the short run, the futures price causes the spot price. However, the opposite is not true. On the other hand, long-run caUSAlity is embodied in the response of futures prices after deviations from the long-run equilibrium. These results say that during the period of study, the Spanish futures market behaved as an efficient market.     

The futures price of a commodity in fixed supply

This letter shows that in a general equilibrium model of homogeneous population with production risk, the futures price of a commodity which is in fixed supply is always below the expected futures spot price (e.g., normal backwardation). It also shows that the difference between the futures price and the expected spot price increases as the representative individual's risk aversion rises. An important application of this model is to the housing market since houses are in fixed supply in the short run and buying a house is like holding a long position in a forward contract. Therefore, if population is homogeneous, houses are not a good consumption hedge and the prices of houses are below their expected rental prices.     

Time‐Varying Spot and Futures Oil Price Dynamics

In this paper, we investigate the role of crude oil spot and futures prices in the process of price discovery by using daily data over the period from January 1992 to September 2012. We provide evidence that futures markets play a more important role than spot markets, but their relative contributions turn out to be highly unstable, especially for the most deferred contracts. Furthermore, considering the time‐varying dynamics provides evidence of a smaller role for futures markets and a greater role for fundamental factors in driving oil prices during the global financial turmoil of 2007–2008. The implications of the main results for hedging and forecasting crude oil spot prices are also discussed.     

FUTURES MARKETS AND BUBBLE FORMATION IN EXPERIMENTAL ASSET MARKETS*

Abstract. We construct asset markets of the type studied in Smith et al. (1988) , in which price bubbles and crashes are widely observed. In addition to a spot market, there are futures markets in operation, one maturing at the beginning of each period of the life of the asset. We find that when futures markets are present, bubbles do not occur in the spot markets. The futures markets seem to reduce the speculation and the decision errors that appear to give rise to price bubbles in experimental asset markets.     

A frequency domain causality investigation between futures and spot prices of Indian commodity markets

This paper examines the direction, strength and extent of causal relationship between futures and spot prices of Indian commodity markets using frequency domain approach of Breitung and Candelon (2006). Frequency domain analysis offers an effective alternative tool by examining the causality in frequency domain, whereas in traditional econometric causality analysis tools focus only on the time domain. Daily futures and spot price series on eight commodities from the Indian commodity exchanges (MCX and NCDEX) were examined for the period 3rd January, 2008 to 31st December, 2012. The results of frequency domain analysis suggest that there is a strong uni-directional relationship from futures to spot in almost all the selected commodities. This indicates that futures market has a powerful price discovery function in all the selected commodities; which in turn indicates the efficiency of Indian commodity futures market.     

中国黄金期货与黄金现货价格的实证分析

意旨探索中国黄金现货价格对黄金期货价格形成的作用机制。借助ADL模型和共同因子贡献法进行实证分析,研究了中国黄金期货价格与黄金现货价格的关系。研究表明,中国黄金期货价格与现货价格长期趋势是一致的,但是短期存在比较大的偏差,同时中国黄金期货和现货价格波动率序列之间有较高的依存度。由此中国黄金期货市场已具备一定规避风险的功能。     

Price discovery and volatility spillover in spot and futures markets: evidences from steel-related commodities in China

The price discovery and spillover effect are significant indicators in futures markets. This study examines the price discovery and spillover effects using vector error correction model and generalized autoregressive conditional heteroskedastic for seven types of steel products in Chinese spot and futures markets. The results show that the price discovery exists in all of steel futures market. It is also confirmed that futures prices in all items are mainly leading spot prices via permanent-transitory and information share. In the results of spillover effects, it is found that wire rod, coking coal, coke and silico-manganese have the effects between spot and futures market. In rebar market, there is the spillover effect from spot to futures. This information about futures prices can help the market participants to make decisions when they predict the spot prices.     

Financial frictions and the futures pricing puzzle

In perfect capital markets, the futures price of an asset should be an unbiased forecast of its realized spot price when the contract matures. In reality, futures prices are often higher for some assets and lower for others. However, there is no stability in the relationship between futures prices and the realized spot prices. This instability has been a puzzle in the existing financial literature. The key to this puzzle may lie in the nature of the model and the lack of market imperfections. In this study, we take a theoretical approach in a dynamic multi-period environment. We incorporate competition between disparate economic agents and impose financial frictions (i.e., imperfections) that are in the form of hedging and borrowing limits on them. Our model gives rise to multiple equilibria, each with unique market clearing prices, with the market switching between these equilibria. Our analysis incorporates a comprehensive consideration of the risks faced by the futures markets participants (i.e., speculators and hedgers) and leads to a better understanding of the puzzle.     

The forward pricing function of industrial metal futures – evidence from cointegration and smooth transition regression analysis

The prices of internationally traded metals have experienced wild swings and increased volatility in recent years. The relationship between spot and futures prices is an important topic in this context, as the current period’s price of a futures contract should be an unbiased estimator of next period’s spot price under the joint assumption of risk neutrality and rationality. Taking as a basis data from the Dow Jones UBS Commodity Index, which uses metals traded on the London Metal Exchange and US exchanges, this study adopts nonlinear smooth transition models to analyze whether the forward spread is a leading indicator of future spot price movements. Our findings suggest that such a price discovery function can in most cases only be identified in periods of low volatility or small previous spreads. Moreover, the underlying dynamics are captured best by the use of a logistic transition function.     

Index arbitrage and dynamics between REIT index futures and spot prices

This article contributes to the real estate literature by investigating the pricing relationship between REIT index futures and spot. Based on the cost-of-carry model, we first show that there exist three arbitrage regimes in Australia’s REIT spot-futures price dynamics. Further analysis indicates that the two thresholds, which separate the regimes, are largely consistent with the level dictated by transaction costs. We then estimate a threshold vector error correction model (TVECM). The results show that mean reversion of the mispricing error only takes place in the two outer regimes. Furthermore, we find evidence that REIT spot market is more informationally efficient than the futures market. Given its short history, it will take time for REIT index futures market to mature. Finally, we find that we can enhance hedging performance by accommodating the feature of threshold cointegration displayed by the data. As the futures-spot relationship differs across regimes, we can develop a hedging strategy by adjusting the hedge ratio based on arbitrage regimes. It leads to a greater variance reduction for the hedged portfolio than some conventional methods examined in the existing real estate literature.     

Strategic noise traders and liquidity pressure with a physically deliverable futures contract

Do physically deliverable futures contracts induce liquidity pressure in the underlying spot market? The answer is believed to be no since the asset is delivered sometimes after the expiration of the contract so that the futures trader's payoff does not clearly depend on the price of the underlying stock at expiration. We construct a rational expectations equilibrium model in which a strategic uninformed trader induces liquidity pressure in the underlying spot market at the expiration of a physically deliverable futures contract. Liquidity pressure is the result of a pure informational advantage: if it is known that futures traders hedge their position in the spot market then a strategic trader with no information about the fundamental value of the underlying has an incentive to create noise in the futures market in order to gain information on the composition of the spot order flow at future auctions. We show that informed traders benefit from this form of strategic noise and that the efficiency of the prices remains unaffected.     

沪铜期货市场价格发现的动态贡献——基于状态空间模型的实证研究

商品期货价格与现货价格的相互关系一直是学术界研究的热点,但大都基于静态的模型。本文从期货定价的持有成本理论出发,通过误差修正方程构建状态空间模型,利用卡尔曼滤波算法从动态的角度研究了2004-2012年期间我国沪铜期货市场价格发现的贡献。实证结果显示:2004-2012年,我国沪铜期货市场价格发现的贡献随着时间的变化而变化。2004-2008年逐步增强;2008年金融危机后,逐步下滑,到2010年,落后于现货市场;之后又有回升趋势。总体来看,沪铜期货市场在价格发现中处于主导地位,但具有明显的波动性。     

Testing for adjustment costs and regime shifts in BRENT crude futures market

This paper, using a threshold vector error-correction (TVECM) model, examines whether BRENT crude spot and futures oil prices are cointegrated. By employing this methodology we are able to evaluate the degree and dynamics of transaction costs resulting from various market imperfections. TVECM model is applied on daily spot and futures oil prices covering the period 1990-2009. The hypothesis we test is to what extent BRENT crude is indeed an integrated oil market in terms of threshold effects and adjustment costs. Our findings support that market follows a gradual integration path. We find that BRENT crude spot and futures are cointegrated, though two regimes are clearly identified. This implies that a threshold exists and it is indeed significant. Adjustment costs in the error correction are present, and they are valid at the typical regime that is the dominant, and as a result should not be ignored.     

U.S. industry-level returns and oil prices

This paper empirically investigates and provides further support for the oil price effect documented in Driesprong et al. (2008) in the U.S. industry-level returns. We find that oil price predictability is concentrated in a relatively small number of industry-level returns, the relevant measure for a study of the oil effect is percentage change in oil spot prices, and changes in oil futures prices have virtually no prediction power for industry-level returns. With percentage changes in oil spot prices as the predictor, approximately one fifth of industry returns are oil-predictable. We detect a two trading weeks delay in reaction to oil price changes which is consistent with the Hong and Stein (1996) underreaction hypothesis. These results are robust to various alternative specifications, and are shown to be unrelated to time-varying risk premia. Moreover, we demonstrate that trading strategies based on the oil effect generate superior gains in comparison with buy-and-hold strategy in the presence of reasonable trading costs.     

How does leverage in stock market influence the margin of stock index futures?

In this article, we propose a margin-setting model under the assumption of extreme stock price changes. Specifically, extreme stock price changes are caused by the positive feedback effect of leverage and market impact. By introducing these factors into the futures price changes through a cost-of-carry model for setting the margin of stock index futures, we find that leverage and market impact in stock market are positively correlated with the margin.     

中美小麦期货价格与现货价格传递关系的比较研究

为研究我国小麦期货市场价格发现功能的发挥程度及此功能对现货市场价格的影响,本文运用Johansen协整检验、误差修正模型、脉冲响应函数和方差分解等对中美小麦期货与现货价格传递关系进行了实证研究。结果显示：中美两国国内小麦期货与现货价格之间均存在明显的双向引导关系和长期均衡关系;我国小麦期货价格和现货价格对一个标准差信息冲击的反应均稍强于美国;我国小麦期货市场价格发现功能的发挥程度要优于美国。