The volatility effect of futures trading: Evidence from LSE traded stocks listed as individual equity futures contracts on LIFFE

This study investigates the impact of LIFFE's introduction of individual equity futures contracts on the risk characteristics of the underlying stocks trading on the LSE. We employ the Fama and French three-factor model (TFM) to measure the change in the systematic risk of the underlying stocks which arises subsequent to the introduction of futures contracts. A GJR-GARCH(1,1) specification is used to test whether the futures contract listing affects the permanent and/or the transitory component of the residual variance of returns, and a control sample methodology isolates changes in the risk components that may be caused by factors other than futures contract innovation. The observed increase (decrease) in the impact of current (old) news on the residual variance implies that futures contract listing enhances stock market efficiency. There is no evidence that futures innovation impacts on either the systematic risk or the permanent component of the residual variance of returns.     

Using futures contracts for corporate hedging: The problem of expiry and a possible solution

Companies using futures contracts for hedging purposes need to roll over their contracts if the maturity of their exposure exceeds that of the futures contracts. This entails basis risk that can reduce significantly the effectiveness of the hedge. In this paper an alternative form of futures contract is proposed. the contract never expires and can be used for long-term hedging without the need for rolling-over into a new contract. the contract is shown to be equivalent to a portfolio of conventional futures contracts of differing maturities. Its price is determined by arbitrage against the underlying asset.     

Futures and futures options with basis risk: theoretical and empirical perspectives

Under a no-arbitrage assumption, the futures price converges to the spot price at the maturity of the futures contract, where the basis equals zero. Assuming that the basis process follows a modified Brownian bridge process with a zero basis at maturity, we derive the closed-form solutions of futures and futures options with the basis risk under the stochastic interest rate. We make a comparison of the Black model under a stochastic interest rate and our model in an empirical test using the daily data of S&P 500 futures call options. The overall mean errors in terms of index points and percentage are ?4.771 and ?27.83%, respectively, for the Black model and 0.757 and 1.30%, respectively, for our model. This evidence supports the occurrence of basis risk in S&P 500 futures call options.     

Why derivatives on derivatives? The case of spread futures

Recently, calendar spread futures, futures contracts whose underlying asset is the difference of two futures contracts with different delivery dates, have been successfully introduced for a number of financial futures contracts traded on the Chicago Board of Trade. A spread futures contract is not an obvious financial innovation, as it is a derivative on a derivative security: a spread futures position can be replicated by taking positions in the two underlying futures contracts, both of which may already be quite liquid. This paper provides a motivation for this innovation, demonstrating how the introduction of spread futures can, by changing the relative trading patterns of hedgers and informed traders, affect equilibrium bid–ask spreads, improve hedger welfare, and potentially improve market-maker expected profits. These results are robust both to allowing serial correlation of asset price changes, and investor preference for skewness.     

中国股指期货合约乘数水平的研究

中国沪深500股指期货已经推出,其合约设计的合理与适用性则需要通过市场的实践来验证,在这其中,对合约乘数水平的检验至关重要,因为它与标的指数点住共同构成了合约的价值,进而直接影响到股指期货市场的稳定性。本文采用中国股指期贷合约推出后的真实交易数据、根据期货交易的一种风险控制理论“2N止损法”来测算投资者账户资产净值与头寸规模的绝对值,以此推导出现行合约乘数水平对投资者价格风险的影响程度,得出当前500元的合约乘数水平偏高的结论;并在此基础上,通过对中国股指期货市场的数据统计分析来检验以上结论,论证当前合约乘数水平的适用性,最后建议适当调整中国沪深500股指期货合约乘数的水平或尽快推出相应的小型合约。     

The relationship between reciprocal currency futures prices

Consider a futures contract on Country 2’s currency denominated in Country 1’s currency, and its reciprocal, a futures contract on Country 1’s currency denominated in Country 2’s currency. Because both are marked to market in different currencies, the relationship between the associated futures prices is not simple. We investigate the functional relationship between these two futures prices.     

The relative pricing of European dividend futures and their predictive abilities for index returns

We use dividend futures prices to derive a dividend future discount model. Arbitrage arguments postulate that the sum of discounted dividend futures prices should equal the index price, i.e. the sum of discounted dividends. We analyze whether this relation holds and find that the two valuation approaches lead to a different valuation of expected dividends. These observations indicate that dividend futures and index prices seem to provide the investor with different information on future dividends. We further show that the difference in valuation can be used to forecast index returns and show how an investment strategy can exploit this predictability.     

Optimal portfolios in commodity futures markets

We develop a general approach to portfolio optimization in futures markets. Following the Heath–Jarrow–Morton (HJM) approach, we model the entire futures price curve at once as a solution of a stochastic partial differential equation. We also develop a general formalism to handle portfolios of futures contracts. In the portfolio optimization problem, the agent invests in futures contracts and a risk-free asset, and her objective is to maximize the utility from final wealth. In order to capture self-consistent futures price dynamics, we study a class of futures price curve models which admit a finite-dimensional realization. More precisely, we establish conditions under which the futures price dynamics can be realized in finite dimensions. Using the finite-dimensional realization, we derive a finite-dimensional form of the portfolio optimization problem and study its solution. We also give an economic interpretation of the coordinate process driving the finite-dimensional realization.     

Who trades bitcoin futures and why?

Using regulatory data with identifiers, we analyze the traders active in the Bit- coin futures (BTC) contracts traded on the Chicago Mercantile Exchange (CME). We find two primary trader types, those who hold almost exclusively BTC (con- centrated traders) and those who hold BTC to diversify a broader futures portfolio (diversified traders). The prevalence of these two types changes over time. We also study how BTC markets are connected to other futures markets through common holdings of BTC traders. Finally, we analyze the micro BTC contract and find that the trader composition is different than that of the full-size contract.     

Pricing futures on geometric indexes: A discrete time approach

Several futures contracts are written against an underlying asset that is a geometric, rather than arithmetic, index. These contracts include: the US Dollar Index futures, the CRB-17 futures, and the Value Line geometric index futures. Due to the geometric averaging, the standard cost-of-carry futures pricing formula is improper for pricing these futures contracts. We assume that asset prices are lognormally distributed, and capital markets are complete. Using the concepts of equivalent martingale measure and the risk-neutral valuation relationships in conjunction with discrete time methodology, we derive closed-form pricing formulas for these contracts. Our pricing formulas are consistent with the ones obtained via a continuous time paradigm.

The quality option implicit in futures contracts

The quality option implicit in futures contracts allows the short position to satisfy the contract by delivering one of a variety of specified assets. If, at the time the contract is purchased, knowledge of which of the allowed assets will be cheapest at maturity is uncertain, then the quality option will have value. The greater the value of this option, the lower will be the futures price. This paper presents, and tests, a futures pricing model that incorporates the quality option aspect of commodity futures contracts. Our research shows that the quality option has a significant impact on futures prices.     

Will tighter futures price limits decrease hedge effectiveness?

The events triggered by the Global Financial Crisis (GFC) have led to calls for the regulation of financial markets. Given that regulation may involve opportunity costs, this paper examines whether tighter futures price limits can reduce the effectiveness of a futures hedge. We propose a new model that uncovers the underlying spot-futures dynamics when futures prices are subject to limits. We use the model to determine the maximum number of limit days that can occur before minimum variance hedging outcomes are adversely affected. Application of this model to the US soybean and corn markets reveals that existing limits do not reduce hedge effectiveness. If the frequency of limit days increases from current levels of 1% to approximately 3–4%, conventional hedging approaches will experience economically and statistically significant increases in portfolio variance. These results are important for hedgers, clearing houses and regulators in light of the recent calls for derivatives regulation.     

Volatility and trading activity following changes in the size of futures contracts

This paper has two purposes. First, we examine the relationship between daily price volatility and trading activity one year before and after a change in contract size by examining the results of contract splits in the Australian share price index futures and the U.K. FTSE-100 futures contracts and a reverse contract split in the Australian Bank Bill Acceptance futures contract. Second, we evaluate the effect of the change in contract size on the use of the particular futures market. We find that after a contract size change, the change in total trading frequency has the power to explain the change in daily price volatility. Specifically, after a contract split, trading frequency increased, resulting in increased daily price volatility, and vice versa after a reverse contract split. Most of the average trade size variable has an immaterial impact on price volatility. However, decomposing the total trading frequency into four trade size classes, we find that the trading frequency for small and large trade size categories are highly significant in explaining changes in daily price volatility after the contract splits. Finally, we find the change in contract size for each futures market was successful because within three years following the change, the adjusted trading volume and open interest surpassed the levels prior to the change and have continued to increase thereafter.     

Dynamic conditional copula correlation and optimal hedge ratios with currency futures

This study investigates efficiency of the futures hedge implemented through the currency markets. The copula DCC-EGARCH model is estimated with the bivariate error correction term to minimize variance of the currency portfolios. The estimation results for the currencies of the Australian dollar, Canadian dollar, euro, British pound and Japanese yen show that the inclusion of the external realized variance estimators into the variance equation of the estimated model improves the model's ability to account for the clustered data variance. In hedging portfolios, the information content of the realized variance estimator effectively reduces the variance of the portfolios.     

Does futures exhibit maturity effect? New evidence from an extensive set of US and foreign futures contracts

In a seminal article, Samuelson (1965) [Samuelson, P. A. (1965), “Proof that properly anticipated prices fluctuate randomly,” Industrial Management Review 6, 41-49.] proposes the maturity effect that the volatility of futures prices should increase as futures contract approaches maturity. This study provides new evidence on the maturity effect by examining a more extensive set of futures contracts than previous studies and analyzing each contract separately. Using 6805 futures contracts drawn from 61 commodities, including some data from non-US markets, we find that the maturity effect is absent in the majority of contracts. In addition, the maturity effect tends to be stronger in agricultural and energy commodities than in financial futures. We also examine the hypothesis in Bessembinder et al. (1996) [Bessembinder, H., J. F. Coughenour, P. J. Seguin, & M. M. Smoller (1996), “Is there a term structure of futures volatilities? Reevaluating the Samuelson hypothesis,” Journal of Derivatives 4, 45-58.], which states that negative covariance between the spot price and net carry cost causes the maturity effect in futures. Our results provide very weak evidence in favor of this hypothesis.     

Multi-market trading in the Eurodollar futures market

On March 18, 2004, the London International Financial Futures and Options Exchange launched trading in Eurodollar futures contracts in an attempt to compete with a U.S. rival, the Chicago Mercantile Exchange. The Chicago Mercantile Exchange responded to the challenge by introducing several policy changes that aided the transfer of its trading volume in Eurodollar futures from open outcry to the electronic trading platform, Globex, thereby retaining its market share. We compare trading volume, effective spread, and price discovery in Eurodollar futures at the Chicago Mercantile Exchange before and after the London International Financial Futures and Options Exchange began trading the same contract. We find a general increase in trading volume on Globex beginning October 2003, way before the London International Financial Futures and Options Exchange launched its contract. Globex provides greater price discovery than open outcry during the entire time period under study. Our research thus supports the global trend of conversion of traditional open outcry systems into electronic exchanges.     

Requiem for a market: an analysis of the rise and fall of a financial futures contract

Futures contracts often include a variety of delivery optionsthat allow participants flexibility in satisfying the contract.These options have the potential to broaden the appeal of thecontact. However, if these options are valuable, they may reducethe hedging effectiveness of the contract. This article analyzesthe GNMA CDR futures contract that appears to have failed becauseof flaws in the contract's design. For the first 6 years followingits introduction, the contract attracted significant and increasingvolume, but, subsequently, the volume declined to almost zero.Over the years during which the volume experienced its mostdramatic decline, the Treasury-bond futures contract provideda better hedge for current coupon GNMA securities than did theGNMA CDR futures contract. And, over this same period, the valueof the quality option embedded in the contract often exceeded5 percent of the futures price and reached a level of 19 percentat one point. We interpret the evidence to indicate that thecontract failed because the delivery options reduced the hedgingeffectiveness of the contract for current coupon mortgage securities.     

Optimal Hedging in Futures Markets with Multiple Delivery Specifications

Nearly all futures contracts allow delivery of any of several qualities of the underlying asset. Consequently, the price of the futures contract is associated more with the price of the expected cheapest deliverable variety than with the price of the par-delivery variety. The delivery specifications introduce a delivery risk for every hedger in the market. We derive the optimal hedging strategies in these markets. Their hedging effectiveness is evaluated for wheat futures contracts in Chicago. Hedging optimally would have significantly reduced the variance of the rates of return on hedges while yielding similar mean returns.     

Threshold non-linear dynamics between Hang Seng stock index and futures returns

We test the joint dynamics between the Hong Kong Hang Seng Index futures and the underlying cash index using a Bivariate Threshold AutoRegressive model, which is better able to capture the complex return dynamics evident in financial time series. The results are consistent with a three-regime version of the model, where the lead-lag relation between the index and futures returns is a non-linear threshold-type and the regime switching process depends on the state of the threshold variable. This interaction is symmetric rather than unidirectional, with the strength of the interaction dependent on the regime. These three regimes are also characterised by significant variation in volume, which is consistent with liquidity-induced arbitrage trading.     

The Samuelson hypothesis in futures markets: An analysis using intraday data

This paper considers the Samuelson hypothesis, which argues that the futures price volatility increases as the futures contract approaches its expiration. Utilizing intraday data from 20 futures markets in six futures exchanges, we find strong support for the Samuelson hypothesis in agricultural futures. However, the Samuelson hypothesis does not hold for other futures contracts. We also provide supporting evidence that the ‘negative covariance’ hypothesis is the key factor for the empirical support of the Samuelson hypothesis. In addition, our findings remain largely unaltered even after we control for seasonality and liquidity effects.