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     

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     

Static hedging and model risk for barrier options

The article investigates how sensitive different dynamic and static hedge strategies for barrier options are to model risk. It is found that using plain‐vanilla options to hedge offers considerable improvements over usual Δ hedges. Further, it is shown that the hedge portfolios involving options are relatively more sensitive to model risk, but that the degree of misspecification sensitivity is robust across commonly used models. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:449–463, 2006     

Comparison of selective hedging and options strategies in cattle feedlot risk management

A cattle feedlot marketing simulation model was developed and used to evaluate the performance of various feedlot marketing strategies. The marketing analysis included corn, feeder cattle, and fed cattle integrated marketing alternatives. A variety of strategies were compared including hedging and put option purchasing as signaled via profit margins or price forecasts. The results indicate that cattle feeders could have historically increased profitability and decreased the variability of profits through selective marketing by using either profit margins or price forecasts to signal market positions as compared to cash marketing strategies. In addition, several strategies were found that stochastically dominated cash marketing.     

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.     

Canonical valuation and hedging of index options

Canonical valuation is a nonparametric method for valuing derivatives proposed by M. Stutzer (1996). Although the properties of canonical estimates of option price and hedge ratio have been studied in simulation settings, applications of the methodology to traded derivative data are rare. This study explores the practical usefulness of canonical valuation using a large sample of index options. The basic unconstrained canonical estimator fails to outperform the traditional Black–Scholes model; however, a constrained canonical estimator that incorporates a small amount of conditioning information produces dramatic reductions in mean pricing errors. Similarly, the canonical approach generates hedge ratios that result in superior hedging effectiveness compared to Black–Scholes‐based deltas. The results encourage further exploration and application of the canonical approach to pricing and hedging derivatives. © 2007 Wiley Periodicals, Inc. Jnl Fut Mark 27: 771–790, 2007     

Liquidity and hedging effectiveness under futures mispricing: International evidence

We analyze the hedging effectiveness of positions that replicate stock indexes using corresponding futures contracts through the application of a dynamic, stochastic hedging strategy proposed by Lafuente, J. A. and Novales, A. (2003). Conclusive gains do not emerge in any of the markets analyzed over the period considered, relative to the use of a constant unit hedge ratio. These findings are consistent with the trend observed in the IBEX 35 futures market study of Lafuente, J. A. and Novales, A. (2003). Our empirical evidence suggests that, contrary to what happens in less liquid markets, the discrepancy between theoretical and quoted prices in index futures contracts in fully developed markets does not represent a noise factor that can be successfully exploited for hedging. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 29:1050–1066, 2009     

Semistatic hedging and pricing American floating strike lookback options

We price an American floating strike lookback option under the Black–Scholes model with a hypothetic static hedging portfolio (HSHP) composed of nontradable European options. Our approach is more efficient than the tree methods because recalculating the option prices is much quicker. Applying put–call duality to an HSHP yields a tradable semistatic hedging portfolio (SSHP). Numerical results indicate that an SSHP has better hedging performance than a delta-hedged portfolio. Finally, we investigate the model risk for SSHP under a stochastic volatility assumption and find that the model risk is related to the correlation between asset price and volatility.     

Static hedging and pricing of exotic options with payoff frames

We develop a general framework for statically hedging and pricing European‐style options with nonstandard terminal payoffs, which can be applied to mixed static–dynamic and semistatic hedges for many path‐dependent exotic options including variance swaps and barrier options. The goal is achieved by separating the hedging and pricing problems to obtain replicating strategies. Once prices have been obtained for a set of basis payoffs, the pricing and hedging of financial securities with arbitrary payoff functions is accomplished by computing a set of “hedge coefficients” for that security. This method is particularly well suited for pricing baskets of options simultaneously, and is robust to discontinuities of payoffs. In addition, the method enables a systematic comparison of the value of a payoff (or portfolio) across a set of competing model specifications with implications for security design.     

Optimal partial hedging of options with small transaction costs

This study uses asymptotic analysis to derive optimal hedging strategies for option portfolios hedged using an imperfectly correlated hedging asset with small fixed and/or proportional transaction costs, obtaining explicit formulae in special cases. This is of use when it is impractical to hedge using the underlying asset itself. The hedging strategy holds a position in the hedging asset whose value lies between two bounds, which are independent of the hedging asset's current value. For low absolute correlation between hedging and hedged assets, highly risk‐averse investors and large portfolios, hedging strategies and option values differ significantly from their perfect market equivalents. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 31:855–897, 2011     

Permissibility and use of options for hedging purposes in Islamic Finance

The debate concerning permissibility and use of options in Islamic finance is ongoing, and the issue is far from settled. Current analyses on this issue appear to focus on taking of unnecessary risks ( gharar), the perceived lack of a physical asset in an options contract, and the possibility of exploitation of the ignorant. To the extent that these factors are involved, options are not permitted under Islamic teachings (the Shariah). In this article, we investigate whether options may be permitted for hedging purposes in Islamic finance. We use equity options as an example in our analysis. After providing a brief overview of options markets, we review the existing literature and critically examine other work such as the religious decrees (fatwas). We also provide two examples, one each of call and put options, to illustrate the managerial issue of use of options for hedging purposes. Our analysis shows that options may be permitted for hedging purposes in Islamic finance as long as the underlying economic activities are themselves permissible (halal) from an Islamic point of view. The analysis also indicates that one of the key issues is related to unnecessary risk taking. The avoidance or reduction of such risks in hedging situations is largely dependent on the settlement and clearing function of the exchanges trading options, which effectively provides a guarantee of delivery. Mutual consent for entering into or canceling contracts and the issue of intangible assets also play a role in determining if options are permissible under the Shariah. We conclude the article by urging experts of Islamic jurisprudence to understand the theory and mechanics of options and use group ijitihad (consensus opinion of Islamic scholars) in conjunction with academics and experts in financial markets and instruments on this vital issue in contemporary finance for the benefit of the Islamic world as well as those trading with the Islamic world. © 2006 Wiley Periodicals, Inc.     

Repeated Richardson extrapolation and static hedging of barrier options under the CEV model

This paper proposes an accelerated static replication approach for continuous European-style barrier options by employing the repeated Richardson extrapolation technique with the Romberg sequence. This approach is developed under the constant elasticity of variance (CEV) model of Cox (1975) and Cox and Ross (1976) using the framework offered by Derman, Ergener, and Kani (1995; DEK) and its modified method of Chung et al. (2010, 2013a, 2013b) and Tsai (2014). The numerical results indicate that our method could significantly reduce replication errors for European knock-out call options and may be superior to the imposition of the theta-matching condition on the DEK method.     

A modified static hedging method for continuous barrier options

This study modifies the static replication approach of Derman, E., Ergener, D., and Kani, I. (1995, DEK) to hedge continuous barrier options under the Black, F. and Scholes, M. (1973) model. In the DEK method, the value of the static replication portfolio, consisting of standard options with varying maturities, matches the zero value of the barrier option at n evenly spaced time points when the stock price equals the barrier. In contrast, our modified DEK method constructs a portfolio of standard options and binary options with varying maturities to match not only the zero value but also zero theta on the barrier. Our numerical results indicate that the modified DEK approach improves performance of static hedges significantly for an up‐and‐out call option under the BS model even if the bid–ask spreads are considered. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark     

国际贸易风险规避策略探讨

随着我国经济的快速发展,越来越多的国内企业与国际市场接轨,但机会与挑战并存,在国际贸易中还存在不少风险.文章剖析了我国企业面临的主要国际贸易风险,并从五个方面探讨了国际贸易风险的规避策略.     

国际贸易风险规避策略探讨

随着我国经济的快速发展,越来越多的国内企业与国际市场接轨,但机会与挑战并存,在国际贸易中还存在不少风险.文章剖析了我国企业面临的主要国际贸易风险,并从五个方面探讨了国际贸易风险的规避策略.