Optimal hedging with futures options

This paper explores the use of commodity options as risk management tools in incomplete markets with particular attention to alternative hedging strategies in the presence of basis and quantity risks. Hedgers typically face basis and quantity risks, which result in incomplete markets. In such markets, portfolios of commodity options prove a viable means of managing risks.Hedging opportunities are characterized using partial equilibrium frameworks, comparative statics, and an illustration from a simulation. A nonlinear optimization technique determines optimal portfolios of commodity options. All models examined are static two-date models. Therefore, they ignore the dynamic aspects of the hedger's problem, and distinguish neither American from European options, nor futures from forward markets.     

AN OBTRUSIVE REMARK ON CAPITAL AND COMPARATIVE STATICS

We present a simple comparative statics analysis of steady‐state equilibria in overlapping generations economies with capital accumulation. We regard comparative statics as paradoxical whenever an exogenous increase in saving propensity induces a decrease (an increase) in consumption at the steady state when interest rate is positive (negative). It is shown that there is an exact relation between paradoxical comparative statics and a perverse intersection of properly identified curves of demand for and supply of capital in value. The demand curve for capital in value coincides with that of neo‐Ricardian analysis. We relate our conclusions to some old and recent issues in capital theory.     

论国际贸易中的超绝对利益

在国际贸易中,不仅存在绝对利益和比较利益,而且存在超绝对利益。超绝对利益是一国与另一国进行对方没有的商品贸易时所具有的利益,主要产生于社会资源的特点,特别产生于技术和技能的积累。超绝对利益商品的国际价格与绝对利益或比较利益商品的国际价格不同,它的基础是垄断价格。超绝对利益的存在,意味着许多国际贸易理论需要重新表述。     

Balance‐of‐payments‐constrained cyclical growth with distributive class conflicts and productivity dynamics

This study builds a dynamic balance‐of‐payments‐constrained model that incorporates the endogenous determination of the economic growth rate, conflictive wage/price distribution and employment rate. The wages, commodity prices and employment rate are determined by the profit squeeze effect and labour‐saving technical change. The relative strength of these two effects generates different outcomes for the transitional dynamics and comparative statics analysis. Particularly, the model shows stability, instability and cyclical nature, the latter of which concurs with the evidence reported by previous empirical studies.     

Gravity in International Finance

The past decade has witnessed an explosion of papers estimating gravity equations for cross-border financial holdings without much of a theoretical foundation. In this paper we develop a theory for bilateral asset holdings that takes a gravity form. We discuss how to estimate international financial frictions and conduct comparative statics analysis within the context of the theory. We also find though that reasonable extensions of the model no longer generate a gravity form. While this does not significantly complicate estimation and comparative statics analysis, it raises questions about the empirical validity of gravity specifications for cross-border financial holdings that need to be addressed in future work.     

A COMPLETE THEORY OF COMPARATIVE STATICS FOR DIFFERENTIABLE OPTIMIZATION PROBLEMS

A new comparative statics formalism using generalized compensated derivatives is presented that, in contrast to existing methodologies, directly yields constraint‐free semidefiniteness results for any differentiable, constrained optimization problem. The formalism provides a natural and powerful method of constructing comparative statics results, free of constraints and unrestricted in scope. New results on envelope relations, invariance conditions, rank inequalities and non‐uniqueness are derived that greatly extend their utility and reach. The methodology is illustrated by deriving the comparative statics of multiple linear constraint utility maximization models and the principal‐agent problem with hidden actions, both highly nontrivial and hitherto unsolved problems.     

LONG RUN DEMAND FOR LABOUR IN THE CONSUMER GOOD INDUSTRY

We consider, for alternative models of production, the comparative statics of constant‐returns economies in long run competitive equilibrium, for which reswitching, capital‐reversing and consumption‐reversal are all completely absent. Notwithstanding the ‘well‐behaved’ nature of these economies, the use of labour per unit of output in the consumer good industry is always positively related to the real wage rate.     

Cross-border mergers and acquisitions vs. greenfield foreign direct investment: The role of firm heterogeneity

We develop a general equilibrium model with heterogeneous firms to address two sets of questions: (1) what are the characteristics of firms that choose the various modes of foreign market access (exporting, greenfield FDI, and cross-border M&A), and (2) how does the international organization of production vary across industries and country-pairs? We show that the answers to these questions depend on the nature of firm heterogeneity. Depending on whether firms differ in their mobile or immobile capabilities, cross-border mergers involve the most or the least efficient active firms. The comparative statics on industry and country characteristics display a similar dichotomy.     

Unpacking sources of comparative advantage: A quantitative approach

This paper develops an approach for quantifying the importance of different sources of comparative advantage, by extending the Eaton and Kortum (2002) model to predict industry trade flows. In this framework, comparative advantage is determined by the interaction of country and industry characteristics, with countries specializing in industries whose production needs they can best meet with their factor endowments and institutional strengths. I estimate the model parameters using: (i) OLS; and (ii) a simulated method of moments procedure that accounts for the prevalence of zeros in the bilateral trade data. I apply the model to explore various quantitative questions, such as how much distance, Ricardian productivity, factor endowments, and institutions each matter for country welfare in the global trade equilibrium.     

Unpacking sources of comparative advantage: A quantitative approach

This paper develops an approach for quantifying the importance of different sources of comparative advantage, by extending the Eaton and Kortum (2002) model to predict industry trade flows. In this framework, comparative advantage is determined by the interaction of country and industry characteristics, with countries specializing in industries whose production needs they can best meet with their factor endowments and institutional strengths. I estimate the model parameters using: (i) OLS; and (ii) a simulated method of moments procedure that accounts for the prevalence of zeros in the bilateral trade data. I apply the model to explore various quantitative questions, such as how much distance, Ricardian productivity, factor endowments, and institutions each matter for country welfare in the global trade equilibrium.     

Consumer Substitution Effects under Full Industry Equilibrium

To be of practical use comparative statics must be able to compare long‐period equilibria. Such equilibria will almost never have price vectors that are proportional with respect to all prices but one—yet such price vectors are precisely those underlying the usual substitution effect analysis. We consider how this tension may be resolved.     

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     

Tourism Promotion,Increasing Returns and Domestic Welfare

This paper compares the effect of tourism promotion funded by commodity tax and income tax on domestic welfare in an open economy with increasing returns in the tourism and the non‐tourism sector. A promotion may overcome the under‐production of tourism goods through taking account of the implications of increasing returns, but at the same time, the taxation may have an adverse impact on the rest of the economy. Employing a general equilibrium analysis, we find that the cost of tourism promotion overcomes the benefit, reducing local residents' welfare. Furthermore, commodity tax on tourism consumption is relatively more efficient than income tax in a monopolistic competition, with less adverse impact on the variety of non‐tourism goods. We also clarify the condition for deteriorating ‘terms of trade’, which only happens when the country has a small allocation of factor endowments.     

Beyond the home market effect: Market size and specialization in a multi-country world

The standard two-country model of international trade with monopolistic competition predicts a more-than-proportional relationship between a country′s share of world production of a good and its share of world demand for that same good, a result known as the ‘home market effect’. We first show that this prediction does not generally carry through to the multi-country case, as production patterns are crucially affected by third country effects. We then derive an alternative prediction that holds whatever the number of countries considered. This new prediction takes into account important features of the real world such as comparative advantage due to cross-country technological differences and lack of factor price equalization.     

Samuelson hypothesis,arbitrage activity,and futures term premiums

The Samuelson hypothesis asserts that futures volatility increases as maturity decreases. On the basis of 10 US commodity futures and by capturing the dynamics of the futures volatility terms structure with three factors, we show that in most markets the slope factor is strongly negative in certain periods and at best only weakly negative in other periods. High inventory levels are found to correspond to flatter volatility term structures in seven futures. This finding is consistent with the linkage between carry arbitrage and the Samuelson hypothesis. We also find that a flatter volatility term structure corresponds to lower absolute futures term premiums.     

Differentiation through Service: A Perspective from the Commodity Chemicals Sector

This article examines the role of service as a differentiating factor in the marketing of commodity chemicals. The commodity chemicals sector is characterised by high volume products that are fundamentally undifferentiable by product characteristics, made to an industrial standard often produced with a technology that is common amongst competing producers, with high exit cost due as a result of extensive capital investment. In addition many segments of the market exhibit excess supply over demand. The research, based on an empirical study of companies in the sector and their supply chain relationships, suggests that service and relationship management are key strategies used by companies to escape the commodity trap and gain competitive advantage. The results of the study are discussed in the context of the services marketing continuum and using the servitisation model. The implications of the findings are that, if firms in this sector wish to break out of the commodity trap of blind allegiance to cost leadership as a generic strategy, then they must seek methods of differentiation. The article concludes that a servitisation strategy placed in the context of relationship management can be a means of creating differentiation advantage in a traditionally cost orientated sector     

The implied volatility smirk of commodity options

This paper studies the implied volatility (IV) smirks in four commodity markets by adopting Zhang and Xiang's methodology. First, we document the term structure and dynamics of IV smirks. Overall, the commodity IV curves are negatively skewed with a positive curvature. Then we analyze the commodity and S&P 500 returns' predictability based on in‐sample and out‐of‐sample tests and find that the information embedded in IV smirks can significantly predict monthly commodity and S&P 500 returns. For example, the risk‐neutral fourth cumulant (FC) from the crude oil market outperforms all of the standard predictors in predicting the S&P 500 returns.     

The effect of variation in foreign production on domestic factor prices

In this article, the effects of random versus nonrandom foreign production on the average commodity price ratio and on average domestic factor prices are examined within the context of the Heckscher-Ohlin framework. It is shown that the average price ratio is changed when production is random. Thus, the condition derived by Murray C. Kemp and Chulsoon Khang for expected factor prices to be changed when the commodity price ratio is random, must be altered in accordance with the Stolper-Samuelson theorem.     

Trade and imperfect competition in general equilibrium

This paper employs a multi-industry general equilibrium model of oligopolistic competition, free market entry and trade in which capital is used to establish firms and labor is used for production. We show that both absolute and relative endowments matter for the pattern of trade. We demonstrate that market entry to each industry is either too excessive or too moderate while the effect on firm size is ambiguous. If countries are sufficiently symmetric, trade will increase the wage–rental ratio in both countries. Furthermore, trade will increase per-capita consumption in capital-intensive industries and reduce it in labor-intensive industries. Nevertheless, trade will be mutually welfare-improving under relatively mild conditions.     

A cointegrated commodity pricing model

We propose a commodity pricing model that extends the Gibson–Schwartz two‐factor model to incorporate the effect of linear relations among commodity spot prices, and provide a condition under which such linear relations represent cointegration. We derive futures and call option prices for the proposed model, and indicate that, unlike in Duan and Pliska (2004), the linear relations among commodity prices should affect commodity derivative prices, even when the volatilities of commodity returns are constant. Using crude oil and heating oil market data, we estimate the model and apply the results to the hedging of long‐term futures using short‐term ones.