Hedging in Futures and Options Markets with Basis Risk

This paper analyzes the hedging decisions for firms facing price and basis risk. Two conditions assumed in most models on optimal hedging are relaxed. Hence, (i) the spot price is not necessarily linear in both the settlement price and the basis risk and (ii) futures contracts and options on futures at different strike prices are available. The design of the first‐best hedging instrument is first derived and then it is used to examine the optimal hedging strategy in futures and options markets. The role of options as useful hedging tools is highlighted from the shape of the first‐best solution. © 2002 John Wiley & Sons, Inc. Jrl Fut Mark 22:59–72, 2002     

中美玉米期货市场功能效率比较

价格发现与套期保值是期货市场的基本功能,能够反映期货市场的运行效率。通过对比中美贸易摩擦前后期货市场的价格发现和套期保值功能,分析中美玉米期货市场效率间的差距,探究我国玉米期货市场运行效率低的原因。利用格兰杰(Granger)因果分析、协整检验、分位信息份额模型、套期保值比率及绩效分析方法,定量对中美两国2013—2019年玉米期货及现货的数据进行分析,结果表明,中国玉米期货市场存在较强的价格发现功能,但套期保值绩效不佳。使用前沿分位信息份额模型和滚动格兰杰因果法分析中美两国期现货市场动态关系的区别,发现中国仅存期货市场对现货市场的单向引导,而美国在中美贸易摩擦前表现为玉米期现货市场具有相近的引导能力,套期保值效率较高,中美贸易摩擦增强了其现货市场对期货市场的引导能力,降低了期货市场运行效率。从期现货市场双向引导关系视角来看,中国玉米期货市场效率低的原因主要是现货市场的信息不完全、发展不完善,期现货市场缺少长期稳定的双向引导关系抑制了期货市场功能发挥。中国应全面加强期货市场建设,提升期货市场定价效率,推动农产品期货市场快速健康发展。     

钢材期货套期保值实证分析

期货价格与现货价格的走势具有趋同性与趋合性的特征,使期货套期保值交易能够对冲现货市场价格波动风险,钢材套期保值者可根据钢材价格的基差变化进行相应的买入或卖出交易,以锁定成本甚至获利.但在实际操作中,套期保值者还必须考虑运输、吊装等费用以及不同市场的价格贴水情况,确定一种合理基差.同时,本文认为决定套期保值效果的唯一因素是套期保值开始和套期保值结束时的基差变化,选择最理想的基差时机进行套期保值,能够实现预期的套期保值效果.     

沪深300股指期货套期保值效率度量研究——基于沪深300ETF的实证分析

基于沪深300股指期货真实交易数据,选取对指数拟合程度高且可交易的沪深300ETF为现货研究对象,运用静态套期保值比率估计模型（OLS、B-VAR、VECM）和动态套期保值比率估计模型（VECMBGARCH、DBEKK-GARCH、DCC-GARCH、NormCopula-GARCH、tCopula-GARCH）对最优套期保值比率进行估计,并对规避风险效果进行比较。结果表明：无论在样本内期间和样本外期间中,各模型反映出的沪深300股指期货套期保值效率都较高,考虑期货与现货市场动态相关性的NormCopula-GARCH模型套期保值效果最优。     

How to hedge if the payment date is uncertain?

This paper investigates how firms should hedge price risk when payment dates are uncertain. We derive variance-minimizing strategies and show that the instrument choice is essential for this problem, similar to the choice between a strip and a stack hedge. The first setting concentrates on futures hedges, whereas the second allows for nonlinear derivatives. In both settings, firms should take positions in derivatives with different maturities simultaneously. We present an empirical analysis for commodities and exchange rates, showing that in both settings the optimal strategy clearly outperforms the commonly used heuristic strategies which consider only one hedging instrument at a time.     

Production and hedging under Knightian uncertainty

This article introduces Knightian uncertainty into the production and futures hedging framework. The firm has imprecise information about the probability density function of spot or futures prices in the future. Decision‐making under such scenario follows the “max‐min” principle. It is shown that inertia in hedging behavior prevails under Knightian uncertainty. In a forward market, there is a region for the current forward price within which full hedge is the optimal hedging policy. This result may help explain why the one‐to‐one hedge ratio is commonly observed. Also inertia increases as the ambiguity with the probability density function increases. When hedging on futures markets with basis risk, inertia is established at the regression hedge ratio. Moreover, if only the futures price is subject to Knightian uncertainty, the utility function has no bearing on the possibility of inertia. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20: 397–404, 2000     

Order imbalance and the dynamics of index and futures prices

This study uses transaction records of index futures and index stocks, with bid/ask price quotes, to examine the impact of stock market order imbalance on the dynamic behavior of index futures and cash index prices. Spurious correlation in the index is purged by using an estimate of the “true” index with highly synchronous and active quotes of individual stocks. A smooth transition autoregressive error correction model is used to describe the nonlinear dynamics of the index and futures prices. Order imbalance in the cash stock market is found to affect significantly the error correction dynamics of index and futures prices. Order imbalance impedes error correction particularly when the market impact of order imbalance works against the error correction force of the cash index, explaining why real potential arbitrage opportunities may persist over time. Incorporating order imbalance in the framework significantly improves its explanatory power. The findings indicate that a stock market microstructure that allows a quick resolution of order imbalance promotes dynamic arbitrage efficiency between futures and underlying stocks. The results also suggest that the unloading of cash stocks by portfolio managers in a falling market situation aggravates the price decline and increases the real cost of hedging with futures. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:1129–1157, 2007     

Hedging performance analysis of energy markets: Evidence from copula quantile regression

This study investigates hedging performance with respect to different market structures for energy-related commodities, including West Texas Intermediate crude oil, Brent crude oil, Chinese crude oil, and Heating oil. Copula quantile regression functions and the generalized autoregressive conditionally heteroscedasticity model are combined to analyze the nonlinear impact of dependence and the heterogeneous impact of market structure changes on hedging performance. Results show that hedging performance presents nonlinearity and market structure changes have surprisingly strong heterogeneous effects on the quantile hedge ratio, where bearish and bullish have lower hedge ratios than normal markets, which is captured better by Clayton copula quantile regression. Additionally, the trend of hedging effectiveness over different market structures also shows an inverted U shape. After changing data frequency or the types of futures contracts, the conclusions remain the same. Our empirical findings imply that hedgers are supposed to adjust the hedging number of futures according to market structure changes to hedge price risk effectively.     

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.     

Market Efficiency and Price Discovery in Cocoa Markets

ABSTRACT

This paper tests the efficiency and price discovery mechanism in the cocoa cash and futures markets over the period March 1981–August 2009. The results indicate that the price discovery is done in the cash market and spreads to the futures markets and that the futures price can be seen as an unbiased predictor of future cash prices. There is no sign of a risk premium in the futures price. Since the cash behaves like a random walk we cannot reject market efficiency.     

A brighter future with lower transactions costs?

Recently, the OMX Nordic Exchange reduced the exchange fee for trading the OMXS 30 index futures with more than 22%. The reduction in exchange fees provides this study with a unique opportunity to investigate the effects of a change in fixed transaction costs on futures market liquidity, trading activity, volatility, futures pricing efficiency, and the futures exchange's revenues. The results show a ceteris paribus increase in futures trading volume with 19%, a 27% decrease in futures bid–ask spread, and a 27% increase in volatility, as a result of the futures exchange fee reduction, whereas the pricing efficiency of the futures contract and the exchange's revenues are unaffected by the change in transaction costs. The exchange fee reduction has improved futures market liquidity at the cost of higher volatility. Moreover, the attractiveness and competitiveness of the futures exchange has increased relative alternative trading venues, without a loss of revenues in the process. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 29:775–796, 2009     

Liquidity constraints and the hedging role of futures spreads

This paper examines the behavior of the competitive firm under price uncertainty in general and the hedging role of futures spreads in particular. The firm has access to a commodity futures market where unbiased nearby and distant futures contracts are transacted. A liquidity constraint is imposed on the firm such that the firm is forced to prematurely close its distant futures position whenever the net interim loss due to its nearby and distant futures positions exceeds a threshold level. This paper shows that the liquidity constrained firm optimally opts for a long nearby futures position and a short distant futures position should the firm be prudent, thereby rendering the optimality of using futures spreads for hedging purposes. This paper further shows that the firm's production decision is adversely affected by the presence of the liquidity constraint. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:909–921, 2004     

试论如何运用外汇期货套期保值规避外汇风险

在全球经济环境下,我国的企业如何面临日益不断加剧的外汇风险,以及我国的外汇期货套期保值一旦出现了风险要如何规避,这都是我们需要运用完善、丰富的相关外汇期货套期保值时所要思考规避外汇风险的具体问题.针对于企业的实际经营,利用合理的外汇期货来规避、防范外汇期货交易及汇率等风险套期保值策略,能够在一定程度上规避其所面临的外汇风险,通过掌握外汇汇率的变动给予外货期货一定的安全性,从而降低由于外汇所带来的一系列风险问题.     

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     

Hedging performance of shrimp futures contracts with multiple deliverable grades

The performance of the black tiger and white shrimp futures contracts traded in the Minneapolis Grain Exchange (MGE) is considered. These two futures contracts have suffered low trader participation[fn100] since their inception despite the underlying multibillion-dollar cash shrimp market. The article tries to find answers for such lack of interest in the context of the multiple deliverable category character of both contracts. In particular, the hedging effectiveness and the adequacy of the premiums/discounts are measured for the various shrimp size categories traded in each contract. The analyses indicate that the hedging effectiveness of both contracts is relatively modest. Part of the explanation for the performance of the contracts resides in high deliverable category exchange option values, which stem from volatility in the price differentials between size categories. The fixed premiums/discounts are not able to provide a remedy to the alternation in the cheapest to deliver category. There is also a liquidity problem that could result from the peculiarities of seafood trade. It is concluded that the lack of trader interest may be influenced by initial high deliverable category exchange option values. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19: 957–990, 1999     

Benchmark tipping and the role of the swap market in price discovery

The author uses a high‐frequency data set to investigate the roles of the sterling swap and futures markets in price discovery at the short‐end of the sterling yield curve. Information flows between the futures and swap markets are found to be largely contemporaneous. Causal information flows are bidirectional, although the futures market dominates the information flow over the very short term. Thus, the futures market remains the primary locus of price discovery despite the increased use of swaps as a pricing benchmark and hedging instrument in recent years. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:981–1001, 2007     

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     

Production and hedging under state‐dependent preferences

This study examines the behavior of the competitive firm under output price uncertainty and state‐dependent preferences. When there is a futures market for hedging purposes, the firm's optimal production decision is independent of the output price uncertainty and of the state‐dependent preferences. If the futures contracts are unbiased, the firm's optimal futures position is an over‐hedge or an under‐hedge, depending on whether the firm is correlation averse or correlation loving, and on whether the output price is positively or negatively expectation dependent on the state variable. When the firm has access not only to the unbiased futures but also to fairly priced options, sufficient conditions are derived under which the firm's optimal hedge position includes both hedging instruments. This study thus establishes a hedging role of options, which is over and above that of futures, in the case of state‐dependent preferences. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 32:945–963, 2012     

Risk management with options and futures under liquidity risk

Futures hedging creates liquidity risk through marking to market. Liquidity risk matters if interim losses on a futures position have to be financed at a markup over the risk‐free rate. This study analyzes the optimal risk management and production decisions of a firm facing joint price and liquidity risk. It provides a rationale for the use of options on futures in imperfect capital markets. If liquidity risk materializes, the firm sells options on futures in order to partly cover this liquidity need. It is shown that liquidity risk reduces the optimal hedge ratio and that options are not normally used before a liquidity need actually arises. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 29:297–318, 2009     

Need for speed: Hard information processing in a high‐frequency world

I study the role of high‐frequency traders (HFTs) and non‐high‐frequency traders (nHFTs) in transmitting hard price information from the futures market to the stock market using an index arbitrage strategy. Using intraday transaction data with HFT identification, I find that HFTs process hard information faster and trade on it more aggressively than nHFTs. In terms of liquidity supply, HFTs are better at avoiding adverse selection than nHFTs. Consequently, HFTs enhance the linkage between the futures and stock markets, and significantly contribute to information efficiency in the stock market by reducing the delay between the stock and the futures markets.