Production and hedging in futures markets with multiple delivery specifications

This paper examines the behavior of the competitive firm under price uncertainty. To hedge the price risk, the firm trades unbiased commodity futures contracts with multiple delivery specifications from which delivery risk prevails. We show that the firm optimally produces less in the presence than in the absence of the delivery risk. We show further that the concept of expectation dependence that describes how the delivery risk is correlated with the random spot price plays a pivotal role in determining the firm’s optimal futures position. Specifically, an under-hedge is optimal if the random spot price is positively expectation dependent on the delivery risk. The firm’s optimal futures position becomes indeterminate if the random spot price is negatively expectation dependent on the delivery risk.     

The firm under uncertainty: real and financial decisions

This paper examines the interplay between the real and financial decisions of the competitive firm under output price uncertainty. The firm faces additional sources of uncertainty that are aggregated into a background risk. We show that the firm always chooses its optimal debt–equity ratio to minimize the weighted average cost of capital, irrespective of the risk attitude of the firm and the incidence of the underlying uncertainty. We further show that the firm’s optimal input mix depends on its optimal debt–equity ratio, thereby rendering the interdependence of the real and financial decisions of the firm. When the background risk is either additive or multiplicative, we provide reasonable restrictions on the firm’s preferences so as to ensure that the firm’s optimal output is adversely affected upon the introduction of the background risk.     

Corporate hedging and input price risk

Input price variability is an important source of risk for corporations that process raw commodities. Models of optimal input hedging are developed in this paper based on the maximization of managerial expected utility. The relationship between hedging strategies and output decisions is examined to assess the impact of the ability to set output prices on futures market participation. As a firm's ability to set output prices diminishes in the short run, input futures positions increase although the optimal hedge ratio may either increase or decrease. For a perfectly competitive firm, however, shifts in output price caused by input price changes provide a natural cash market hedge of input price risk and reduce the firm's optimal input futures position.     

Uncertain tax rules and futures hedging

This paper considers the optimal futures hedging decision under uncertain tax treatment. If the Corn Products (CP) rule applies, gains or losses from futures trading can offset business gains or losses. However, under the Arkansas Best (AB) doctrine, offsetting is not allowed. We show that the risk neutral firm will not trade futures contracts if the probability the CP rule prevails is small. When the probability is sufficiently large, the firm will assume an underhedge. A risk averse firm is likely to trade, even if the AB rule prevails. As long as the CP ruling is not a sure thing, the firm will engage in underhedge. The effects of average business profits, the volatility of business profits, and risk aversion on the optimal futures position are provided. Copyright © 1999 John Wiley & Sons, Ltd.     

Tax asymmetry and futures hedging under liquidity constraints

This paper examines the optimal futures hedging decision of a firm facing uncertain income that is subject to asymmetric taxation with no loss‐offset provisions. All futures contracts are marked to market and require interim cash settlement of gains and losses. The firm is liquidity constrained in that it is forced to prematurely close its futures position on which the interim loss incurred exceeds a threshold level. The liquidity risk created by the interim funding requirement of a futures hedge is shown to proffer the firm perverse incentives, thereby making an under‐hedge optimal. This under‐hedging result holds irrespective of whether the firm is risk neutral or risk averse. Copyright © 2005 John Wiley & Sons, Ltd.     

International tenders and futures hedging

This paper examines the optimal bidding and hedging decisions of a risk‐averse firm that takes part in an international tender. The firm faces multiple sources of uncertainty: exchange rate risk, risk of an unsuccessful tender, and business risk. The firm is allowed to trade unbiased currency futures contracts to imperfectly hedge its contingent foreign exchange risk exposure. We show that the firm shorts less (more) of the unbiased futures contracts when its marginal utility function is convex (concave) as compared with the case that the marginal utility function is linear. We further show that the curvature of the marginal utility function plays a decisive role in determining the impact of currency futures hedging on the firm's bidding behavior. Sufficient conditions that ensure the firm bids more or less aggressively than in the case without hedging opportunities are derived. Copyright © 2006 John Wiley & Sons, Ltd.     

Comparative Ross risk aversion in the presence of mean dependent risks

This paper studies comparative risk aversion between risk averse agents in the presence of a background risk. Our contribution differs from most of the literature in two respects. First, background risk does not need to be additive or multiplicative. Second, the two risks are not necessarily mean independent, and may be conditional expectation increasing or decreasing. We show that our order of cross Ross risk aversion is equivalent to the order of partial risk premium, while our index of decreasing cross Ross risk aversion is equivalent to decreasing partial risk premium. These results generalize the comparative risk aversion model developed by Ross for mean independent risks. Our theoretical results are related to utility functions having the n-switch independence property.     

Production and hedging under correlated price and background risks

Decisions in Economics and Finance - This paper examines the competitive firm that has to make its production and hedging decisions under correlated price and background risks. The background risk...     

上海黄金期货市场有效性的实证分析

黄金因为其兼有货币、商品和金融三大属性的特征历来受到人们的重视。今年年初黄金期货在上海期货交易所的上市,填补了我国长期缺乏金融期货的空白。同时管理层与市场各参与主体对黄金期货给予很高的期望与关注,因此研究上海黄金期货市场的有效性具有重要意义。通过运用ADF单位根检验、协整检验、误差修正模型以及格兰杰因果检验等时间序列与计量经济方法,对上海期货交易所黄金期货市场的有效性进行实证分析。结果表明,上海黄金期货市场尚未达到有效,并且黄金现货价格单向引导期货价格。     

Optimal Two‐part Pricing under Cost Uncertainty

This paper examines the optimal two‐part pricing under cost uncertainty. We consider a risk‐averse monopolistic firm that is subject to a cost shock to its constant marginal cost of production. The firm uses two‐part pricing to sell its output to a continuum of heterogeneous consumers. We show that the global and marginal effects of risk aversion on the firm's optimal two‐part pricing are to raise the unit price and lower the fixed payment. We further show that an increase in the fixed cost of production induces the firm to raise (lower) the unit price and lower (raise) the fixed payment under decreasing (increasing) absolute risk aversion. The firm's optimal two‐part pricing is unaffected by changes in the fixed cost under constant absolute risk aversion. Finally, we show that a mean‐preserving spread increase in cost uncertainty induces the firm to raise the unit price and lower the fixed payment under either decreasing or constant absolute risk aversion. Copyright © 2011 John Wiley & Sons, Ltd.     

A scenario-based integrated approach for modeling carbon price risk

Carbon prices are highly dependent on government emission policies and local industrial compositions. When historical data does not exist or limited price data can only be sourced from another country, scenario analysis becomes the only tool for the modelling of future carbon prices. However, various plausible but equally possible scenarios can produce large variations in forecast carbon prices. In a traditional approach of scenario analysis, investment decisions or risk management strategies are proposed and analysed for each given scenario, optimal solutions are determined. However, when the number of scenarios becomes large, it often becomes too complex and intractable to have a clear view on the selection of investment decisions or risk-management strategies because these decisions and strategies are closely linked with each of the many scenarios. In this paper, it is proposed to use a stochastic mean-reversion model to represent future carbon price movements, but this model is calibrated to the forecast carbon prices of all the scenarios. In this approach, a single model is used to capture the underlying uncertainty and expectation of the stochastic carbon prices as projected by all the scenarios, carbon price risk can thus be modeled and analysed without the need for direct references to any specific scenarios. The modelling and management of long-term carbon-price risk are therefore purely dependent on future carbon price levels and volatilities of these scenarios, instead of on the scenarios themselves. Through such an approach, the optimization of investment decisions and risk management solutions can be much simpler because the forecasted carbon prices are the only input data.      

Decomposition of Structural Change into Technology and Price Components: Turkey, 1973–85

The purpose of this paper is to report on an approach to the analysis of intertemporal change in input–output tables in terms of the components of this change with time. We define two alternative forms of decomposition: additive and multiplica tive. The multiplicative form is found to have advantages over the additive form: it is not affected by the choice of price-adjusting mechanism and it enables us to define summary measures in the line of, for example, direct backward linkages. We apply the methodo logy to input–output tables for Turkey for 1973 and 1985, and compute the components of total change for 1973–85. We illustrate that, in economies where price changes across industries vary to a great extent, studying structural change first requires the removal of the relative price effects. Otherwise, misleading conclusions regarding the real or tech nological change are very likely.     

Optimal Two‐Part Pricing under Demand Uncertainty

This paper examines the pricing behavior of a risk‐averse monopolistic firm under demand uncertainty. The firm produces a single good at a constant marginal cost. To facilitate sales, the firm uses a two‐part pricing contract that includes a membership fee and a selling price per unit. The good is sold to a continuum of heterogeneous consumers who are subject to a common demand shock. We show that the global and marginal effects of risk aversion are to push the unit price closer to the constant marginal cost and to shrink the market coverage so as to limit the firm’s risk exposure to the demand uncertainty. The more risk‐averse firm as such charges a higher membership fee to consumers. We further show that an increase in the fixed cost of production induces the firm to lower (raise) the unit price, to raise (lower) the membership fee, and to shrink (enlarge) the market coverage under decreasing (increasing) absolute risk aversion. The firm’s optimal two‐part pricing contract, however, is unaffected by changes in the fixed cost under constant absolute risk aversion. Finally, we show that a mean‐preserving‐spread increase in the demand uncertainty induces the firm to lower the unit price, to raise the membership fee, and to shrink the market coverage under either decreasing or constant absolute risk aversion. The firm’s risk preferences as such play a pivotal role in determining the optimal two‐part pricing under demand uncertainty. Copyright © 2013 John Wiley & Sons, Ltd.     

New Results for additive and multiplicative risk apportionment

We provide new characterizations of the preference for additive and multiplicative risk apportionment when risk ordering relies on stochastic dominance. We then point out a simple property of risk apportionment with additive risks: Quite generally, an observed preference for additive risk apportionment in a specific risk environment is preserved when the decision-maker is confronted to other risk situations, so long as the total order of stochastic dominance relationships among risk couples remains the same. The main objective of this paper is to check whether this simple property also holds for multiplicative risks environments. We explain why this is not the case in general, and then provide a set of conditions under which this property holds. We also show that it holds – and even more strongly – in the case of CRRA utility functions due to a particular feature of this family of utility functions.     

趋势持续时间与价格变化相依结构下的高频交易CVaR模型

针对现有文献估计高频交易风险与实际风险存在偏误,提出基于趋势持续时间与价格变化相依结构下的CVaR模型。该方法首先定义了趋势持续时间和价格变化幅度,并得到趋势持续时间和趋势持续期内价格变化幅度两者边缘分布。然后结合Copula理论构造出趋势持续时间和价格变化幅度的联合分布和条件分布,并在此基础上计算CVaR。最后采用沪深300股指期货高频交易数据对本文提出的模型进行了实证检验。结果表明：下跌趋势持续时间要比上涨趋势持续时间长,对应的下跌幅度要比上涨幅度更大,股指期货上涨与下跌风险具有不对称性。     

Arbitrage,speculation and futures price fluctuations with boundedly rational and heterogeneous agents

This paper proposes a dynamic model for the futures market with three types of investors. The bounded rationality and heterogeneity of investors are taken into consideration. The equilibrium of the system and its stability conditions are derived with mathematical analysis. In the equilibrium, the futures price and the spot price converge to the equilibrium simultaneously. The equilibrium is determined by many factors, including the risk appetite and the rationality of investors, the trading costs, the arbitrage basis price and the fundamental price. When the stability conditions are violated, complex dynamics will emerge in the market. As shown by the simulations, the arbitrage is likely to destabilize the market. Moreover, when investors have the high degree of rationality, the equilibrium will become unstable and the futures market is inefficient. Statistical analysis indicates that the model can reproduce the stylized facts observed in the futures market, such as long memory, volatility clustering and fat tail of returns.

     

Cross‐hedging and forward‐contract pricing of electricity in the Pacific Northwest

This paper develops a linear regression model for using actively traded NYMEX natural gas futures as a cross‐hedge against electricity spot‐price risk in the Pacific Northwest and for pricing the forward contracts in the presence of temperature and hydro risks. Our approach comports with reality and provides power purchasers with an effective instrument through which they can hedge their electricity bets through natural gas futures. It also demonstrates the sharp month‐to‐month variations in the natural gas futures' optimal hedge ratios and hedge effectiveness. Finally, it finds significant risk premiums in the Pacific Northwest forward prices, supporting the hypothesis that forward‐contract buyers are relatively more risk‐averse than sellers. Copyright © 2011 John Wiley & Sons, Ltd.     

Quasi‐rational and ex ante price expectations in commodity supply models: an empirical analysis of the US broiler market

A statistically optimal inference about agents' ex ante price expectations within the US broiler market is derived using futures prices of related commodities along with a quasi‐rational forecasting regression equation. The modelling approach, which builds on a Hamilton‐type framework, includes endogenous production and allows expected cash price to be decomposed into anticipated and unanticipated components. We therefore infer the relative importance of various informational sources in expectation formation. Results show that, in addition to the quasi‐rational forecast, the true supply shock, future prices, and ex post commodity price forecast errors have, at times, been influential in broiler producers' price expectations. Copyright © 2003 John Wiley & Sons, Ltd.     

Modelling the iron ore price index: A new perspective from a hybrid data reconstructed EEMD-GORU model

As iron ore is the fundamental steel production resource, predicting its price is strategically important for risk management at related enterprises and projects. Based on a signal decomposition technology and an artificial neural network, this paper proposes a hybrid EEMD-GORU model and a novel data reconstruction method to explore the price risk and fluctuation correlations between China’s iron ore futures and spot markets, and to forecast the price index series of China’s and international iron ore spot markets from the futures market. The analysis found that the iron ore futures market in China better reflected the price fluctuations and risk factors in the imported and international iron ore spot markets. However, the forward price in China’s iron ore futures market was unable to adequately reflect the changes in the domestic iron ore market, and was therefore unable to fully disseminate domestic iron ore market information. The proposed model was found to provide better market risk perceptions and predictions through its combinations of the different volatility information in futures and spot markets. The results are valuable references for the early-warning and management of the related enterprise project risks.     

Efficiency of temporary equilibria

A temporary equilibrium model of a production economy with various capital markets in which producers maximize the expected utility of cash flows in various periods is considered. Without restricting the price expectation of producers, it is shown that, if contracts to buy or sell goods at future periods can be trated in a market and if the producer's utility functions are increasing in the cash flow of the first period, then the temporary equilibrium allocations are technically efficient. Also, production is technically efficient even in the presence of some quantity constraints on sales of futures contracts which are sufficient for existence of an equilibrium.