Price limits,margin requirements,and default risk

This article investigates whether price limits can reduce the default risk and lower the effective margin requirement for a self‐enforcing futures contract by considering one more period beyond Brennan’s (1986) model to take into account the spillover of unrealized residual shocks due to price limits. The results show that, when traders receive no additional information, price limits can reduce the margin requirement and eliminate the default probability at the expense of a higher liquidity cost due to trading interruptions. Consequently, the total contract cost is higher than of that without price limits. When traders receive additional signals about the equilibrium price, we find that the optimal margin remains unchanged with or without the imposition of price limits, a result that is in conflict with Brennan’s assertion. Hence, we conclude that price limits may not be effective in improving the performance of a futures contract. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:573–602, 2000     

Trading protocols and price discovery: Implicit transaction costs in Indian single stock futures

We show how trading protocols impede the price discovery process in single stock futures as implicit trade costs outweigh explicit costs. Despite the trade volume dominance, trade costs advantage and leverage efficiency in futures markets, single stock futures account for only 35% of the price discovery vis-á-vis the spot market. Futures market's informational efficiency is adversely affected by market frictions in the form of marketwide position limits, minimum contract values, and margin requirements.     

Approximation for convenience yield in commodity futures pricing

The pricing of commodity futures contracts is important both for professionals and academics. It is often argued that futures prices include a convenience yield, and this article uses a simple trading strategy to approximate the impact of convenience yields. The approximation requires only three variables—underlying asset price volatility, futures contract price volatility, and the futures contract time to maturity. The approximation is tested using spot and futures prices from the London Metals Exchange contracts for copper, lead, and zinc with quarterly observations drawn from a 25‐year period from 1975 to 2000. Matching Euro‐Market interest rates are used to estimate the risk‐free rate. The convenience yield approximation is both statistically and economically important in explaining variation between the futures price and the spot price after adjustment for interest rates. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:1005–1017, 2002     

Hedging long‐term commodity risk

This study focuses on the problem of hedging longer‐term commodity positions, which often arises when the maturity of actively traded futures contracts on this commodity is limited to a few months. In this case, using a rollover strategy results in a high residual risk, which is related to the uncertain futures basis. We use a one‐factor term structure model of futures convenience yields in order to construct a hedging strategy that minimizes both spot‐price risk and rollover risk by using futures of two different maturities. The model is tested using three commodity futures: crude oil, orange juice, and lumber. In the out‐of‐sample test, the residual variance of the 24‐month combined spot‐futures positions is reduced by, respectively, 77%, 47%, and 84% compared to the variance of a naïve hedging portfolio. Even after accounting for the higher trading volume necessary to maintain a two‐contract hedge portfolio, this risk reduction outweighs the extra trading costs for the investor with an average risk aversion. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:109–133, 2003     

中国小麦期货市场效率的协整检验

本文采用扩展恩格尔-格朗杰检验对中国小麦期货市场效率进行研究,结果显示:未来现货价格与距最后交易日前第7、14、28天期货价格协整,并且距最后交易日越近,期货价格越接近对未来现货价格的无偏估计,期货市场接近有效率市场;未来现货价格与距最后交易日前第56天的期货价格不协整,因此可推断距最后交易日超过56天的期货市场没有效率。     

Revisiting the empirical estimation of the effect of margin changes on futures trading volume

This study revisits the empirical estimation of the effect of margin requirements on trading volume. Although theory suggests that margin requirements impose a cost to traders and will therefore likely reduce volume traded, empirical examinations have generally failed to find this association. The contention of this article is that the theory is correct, but empirical estimation has generally neglected to adjust margins for underlying price risk. After adjusting for risk, this analysis finds economically and statistically significant negative effects of margin requirements on trading volume as predicted by theory. This study examined 6 contracts over a 17‐year time period and found that financial futures contracts (gold, Dow Jones, and 10‐Year Treasury Notes) were considerably more sensitive to changes in margin requirements than agricultural futures (wheat, corn, and oats). © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:561–576, 2003     

Disappointment aversion equilibrium in a futures market

This article examines the effect of disappointment aversion on the equilibrium in a commodity futures market. Consider a commodity market with a producer and a speculator. We show that the equilibrium price is positively related to either agent's risk or disappointment aversion, and to the market volatility. The market trading volume is positively related to the producer's risk or disappointment aversion, but negatively related to the speculator's risk or disappointment aversion. The producer lowers his or her reference point in response to an increase in the risk aversion or disappointment aversion of either agent, and to an increase in spot price volatility. The speculator raises his or her reference point when the producer becomes more risk averse or disappointment averse, or when the spot price becomes more volatile. A more disappointment‐averse speculator will lower his or her reference point. However, a more risk‐averse speculator raises (lowers) the reference point if he or she is less (more) risk averse than the producer. Numerical examples are provided to further support the above analytical results. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:135–150, 2003     

Cointegration,unbiased expectations,and forecasting in the BIFFEX freight futures market

The relationship between freight cash and futures prices is investigated using cointegration econometrics. Results illustrate that the BIFFEX futures market is unbiased, and hence efficient for the current, one, two, and quarterly contract horizons. Since the futures contract is based on an index of various shipping routes, which has undergone several changes since its inception, stability in the relationship between the spot and futures rates is investigated using rolling cointegration techniques. Results indicate that the futures contract appears to have become more efficient over time in predicting the spot rate, and that the decrease in trading volume found in the BIFFEX market is not driven by a lack of efficiency in this market. Rather, the decrease in futures trading might be attributed to the growth rate of the freight forward market. This article incorporates the long‐run cointegrating relationships between cash and futures prices in a forecasting model and compares the forecasting performance of this model with several alternatives. It is found that while the futures price is the best predictor of future spot rates for the current‐month contract, time‐series models can outperform the futures contract at longer contract horizons. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:545–571, 2000.     

Delivery risk and the hedging role of options

Multiple delivery specifications exist on nearly all commodity futures contracts. Sellers typically are allowed to deliver any of several grades of the underlying commodity and at any of several locations. On the delivery day, the futures price as such needs not converge to the spot price of the par‐delivery grade at the par‐delivery location, thereby imposing an additional delivery risk on hedgers. This article derives the optimal hedging strategy for a risk‐averse hedger in the presence of delivery risk. In particular, it is shown that the hedger optimally uses options on futures for hedging purposes. This article provides a rationale for the hedging role of options when futures markets allow for multiple delivery specifications. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:339–354, 2002     

On the adequacy of single‐stock futures margining requirements

Unlike the traditional futures contract risk‐based approach to margining, new security futures contracts are margined under a strategy‐based margining system similar to that which applies in the equity options markets. As a result, these new margin requirements are potentially much less sensitive to changes in market conditions. This article performs a simulation to evaluate whether these alternative margining methodologies can be expected to produce comparable outcomes. The analysis suggests that a 1‐day settlement period will likely lead to collection of customer margins that are virtually always greater than that which its traditional risk‐based counterpart would require. A 4‐day settlement period would lead to margin requirements that both significantly under‐ and overmargin relative to a comparable risk‐based system. This study argues that exchanges may approach the preferred probability of customer exhaustion by managing margin settlement intervals. Thus, the new strategy‐based rules, in and of themselves, will not necessarily inhibit new security futures trading activity. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:989–1002, 2003     

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     

The pricing of electricity futures: Evidence from the European energy exchange

This study investigates the pricing of electricity futures at the European Energy Exchange (EEX) over the period 2002 through 2004. To calculate theoretical contract values, the reduced‐form models of J. J. Lucia and E. S. Schwartz (2002) are used, and a thorough empirical analysis by means of an out‐of‐sample test is conducted for both one‐ and two‐factor models, incorporating a constant non‐zero price of risk. Although the models are proven to capture all basic spot market characteristics and provide an accurate in‐the‐sample fit to observed futures prices, the forecasting performance is subject to biases. For instance, it was found that the relative mispricing depends on both the spot price level and the remaining time‐to‐maturity of the futures contracts. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:387–410, 2007     

Asymmetric covariance in spot‐futures markets

This article studies how the spot‐futures conditional covariance matrix responds to positive and negative innovations. The main results of the article are achieved by obtaining the Volatility Impulse Response Function (VIRF) for asymmetric multivariate GARCH structures, extending Lin (1997) findings for symmetric GARCH models. This theoretical result is general and can be applied to analyze covariance dynamics in any financial system. After testing how multivariate GARCH models clean up volatility asymmetries, the Asymmetric VIRF is computed for the Spanish stock index IBEX‐35 and its futures contract. The empirical results indicate that the spot‐futures variance system is more sensitive to negative than positive shocks, and that spot volatility shocks have much more impact on futures volatility than vice versa. Additionally, evidence is obtained showing that optimal hedge ratios are insensitive to the well‐known asymmetric volatility behavior in stock markets. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:1019–1046, 2003     

The economic advantage of learners in a spot/futures market

This article examines the economic advantage of learners in a futures market. We develop a dynamic model of learning in which a spot market and futures market both exist for a real good. The economy is composed of producers who can engage in hedging activities, speculators who trade in the futures market, and consumers who are described by an inverse demand function for the underlying commodity. Producers and speculators are heterogeneous and are differentiated based upon the predictive equations they employ when formulating forecasts of next period's spot price. We derive the dynamic rational‐expectations equilibrium of the model and show that learners enjoy an economic advantage in the futures market. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:151–167, 2003     

A note on price futures versus revenue futures contracts

Here we consider the hedging roles of a price futures contract versus a revenue futures contract. In the absence of idiosyncratic output risk, the revenue contract almost always dominates the price contract. Idiosyncratic output risk provides conditions under which the price contract should dominate. When production risk is largely idiosyncratic, a producer with an anticipated long actuals position might combine a long revenue futures position with a short price futures position. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:503–512, 2004     

Asymmetric information in commodity futures markets: Theory and empirical evidence

This article examines the theoretical and empirical implications of asymmetric information in commodity futures markets. In particular, it formulates and tests a theoretical model that recognizes two distinct categories of traders: hedgers, who participate in both spot and futures markets, and speculators, who participate only in the futures market. Speculators are assumed to possess differential information about the realized values of selected random variables. Multiperiod futures market equilibria are derived under competitive conditions, and the ability of futures markets to forecast changes in equilibrium spot market prices are examined. The key variable is shown to be the randomness and informational asymmetry in the aggregate supply by participating hedgers in the spot market, whose absence turns out to be the major determinant of the revelation of informational asymmetry. Moreover, under the assumption of independence of error forecasts for prices and spot market supplies, it is shown that futures market equilibrium ends up with linear expressions for prices and futures contract volumes. These linear expressions are then used to develop empirically testable models. The main empirical implications in these models revolve around the role of the basis as a predictor of future spot price changes. The paper provides an empirical investigation of these implications, using three commodities traded on the Winnipeg Commodity Exchange (WCE). © 1998 John Wiley & Sons, Inc. Jrl Fut Mark 18:803–825, 1998     

Does tick size influence price discovery? Evidence from the Toronto Stock Exchange

We investigate the price discovery role of an exchange‐traded fund and the futures contract for the same market index. We find that the fund predicts the index in the subperiod after but not in the subperiod before a substantial decrease in the minimum tick size. The futures predict the index in both subperiods. The results are consistent with the view that the factors leading to successful price discovery do not depend on zero investment, as in futures markets, but do depend on a small tick size. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:49–66, 2003     

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.     

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     

A Note on the Stability of Lognormal Interest Rate Models and the Pricing of Eurodollar Futures

The lognormal distribution assumption for the term structure of interest is the most natural way to exclude negative spot and forward rates. However, imposing this assumption on the continuously compounded interest rate has a serious drawback: rates explode and expected rollover returns are infinite even if the rollover period is arbitrarily short. As a consequence, such models cannot price one of the most widely used hedging instruments on the Euromoney market, namely the Eurodollar futures contract.
The purpose of this note is to show that the problems with lognormal models result from modeling the wrong rate, namely the continuously compounded rate. If instead one models the effective annual rate these problems disappear.