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.     

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.     

Cointegration and the optimal hedge ratio: the general case

This note evaluates the effects of omitted cointegration relationship between spot and futures prices on optimal hedge ratio and hedging effectiveness. It is found that the omission tends to produce a smaller hedge ratio. However, the loss of hedging effectiveness may be minimal.     

Input Hedging,Output Hedging,and Market Power

We argue that commodity input hedging is different from commodity output hedging. Output hedging can be detrimental to “sector play.” Furthermore, firms with market power that hedge outputs have incentives to over‐produce and distort market prices. In rational markets, such hedging will be expensive and we expect to see a negative relationship between hedging and market power in “output industries” but not in “input industries.” We test these predictions on a sample of S&P500 firms from 2001 to 2005. Our results support both hypotheses. Placebo tests show that the same empirical regularities do not apply to currency hedging. Finally, our empirical framework, which differentiates between hedging inputs and hedging outputs, can also help in reconciling conflicting results in prior studies.     

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.     

A note on output hedging with cost uncertainty

Using a general framework and a multiple‐input technology, we thoroughly investigate the hedging and production decisions under cost uncertainty. In doing so, we show the impact of the cost risk on the optimal output, hedge and hedge ratio. Copyright © 2006 John Wiley & Sons, Ltd.     

Inventory management under uncertainty: A financial theory for the transactions motive

This paper examines the effects of risk aversion and output market uncertainty on optimal inventory policy decisions for a transactions demand for inventory using the capital asset pricing theory. The paper shows that (1) the optimal order quantity of the risk-adjusted value-maximizing firm is smaller than that of the expected-profit-maximizing one and (2) the greater the firm's output market uncertainty, the smaller its optimal order quantity, where the output market uncertainty is defined as the relative volatility of the demand for the firm's output.     

Bivariate garch estimation of the optimal commodity futures Hedge

Six different commodities are examined using daily data over two futures contract periods. Cash and futures prices for all six commodities are found to be well described as martingales with near-integrated GARCH innovations. Bivariate GARCH models of cash and futures prices are estimated for the same six commodities. The optimal hedge ratio (OHR) is then calculated as a ratio of the conditional covariance between cash and futures to the conditional variance of futures. The estimated OHRs reveal that the standard assumption of a time-invariant OHR is inappropriate. For each commodity the estimated OHR path appears non-stationary, which has important implications for hedging strategies.     

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.     

Hedging and the competitive firm under correlated price and background risk

This paper examines the behavior of the competitive firm under correlated price and background risk when a futures market exists for hedging purposes. We show that imposing the background risk, be it additive or multiplicative, on the firm has no effect on the separation theorem. The full-hedging theorem, however, holds if the background risk is independent of the price risk. In the general case of the correlated price and background risk, we adopt the concept of expectation dependence to describe the bivariate dependence structure. When the background risk is additive, the firm finds it optimal to opt for an over-hedge or an under-hedge, depending on whether the price risk is positively or negatively expectation dependent on the background risk, respectively. When the background risk is multiplicative, both the concept of expectation dependence and the Arrow–Pratt measure of relative risk aversion are called for to determine the firm’s optimal futures position.     

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.     

Do cryptocurrencies provide better hedging? Evidence from major equity markets during COVID-19 pandemic

Using the five-minute interval price data of two cryptocurrencies and eight stock market indices, we examine the risk spillover and hedging effectiveness between these two assets. Our approach provides a comparative assessment encompassing the pre-COVID-19 and COVID-19 sample periods. We employ copula models to assess the dependence and risk spillover from Bitcoin and Ethereum to stock market returns during both the pre-COVID-19 and COVID-19 periods. Notably, the COVID-19 pandemic has increased the risk spillover from Bitcoin and Ethereum to stock market returns. The findings vis-à-vis portfolio weights and hedge effectiveness highlight hedging gains; however, optimal investments in Bitcoin and Ethereum have reduced during the COVID-19 pandemic, while the cost of hedging has increased during this period. The findings also confirm that cryptocurrencies cannot provide incremental gains by hedging stock market risk during the COVID-19 pandemic.     

A Test for a Functioning Market Economy: Seton'S Eigenprices of Turkey

We use Seton's eigenprices to see if some evidence can be found in support of the European Commission's official statement that the Turkish economy can be considered as a functioning market economy. Given an input–output flows matrix, there is a unique set of prices for outputs and production factors compatible with final demand, generating demand for factors. The findings based on Turkey's most recent I–O table and comparable I–O matrices for Romania and Poland (two EU members) in 2005 show that price distortions were on average five times larger in Turkey. Hence, based on price distortions alone, there was no solid evidence in support of the statement that Turkey had a functioning market economy.     

钢材期货价格发现功能研究——基于印度市场信息共享模型的分析

本文借助Johansen协整检验、Granger因果检验、信息共享模型、方差分解等方法进行多层次实证研究,定量地刻画出期货市场在价格发现中作用的大小。研究结果显示：印度板材期货价格和现货价格之间存在长期均衡关系,在价格引导上仅存在现货对期货价格的单向引导关系,期货对现货没有引导关系;通过方差分解发现,现货市场在价格发现功能中处于主导地位,说明印度钢材期货市场效率有待提高,板材期货没有实现其应有的价格发现功能。     

Corporate income tax and futures hedging

Our research is motivated by the Corn Products vs. Arkansas Best Supreme Court decisions that pitched the controversy of the tax treatment of gains and losses from futures hedging. The use of futures contracts as risk management tools depends on the tax code. In this paper we address complications in the current tax code that allow for asymmetric offset: Ordinary losses can be applied against capital gains; however, capital losses cannot by applied against ordinary gains. Also we consider the issue of tax loss carryover. We investigate the optimal hedge ratios under these scenarios analytically where possible, and numerically where necessary. Michael Metz is an independent commodity market consultant.     

Some Recent Developments in Futures Hedging

The use of futures contracts as a hedging instrument has been the focus of much research. At the theoretical level, an optimal hedge strategy is traditionally based on the expected–utility maximization paradigm. A simplification of this paradigm leads to the minimum–variance criterion. Although this paradigm is quite well accepted, alternative approaches have been sought. At the empirical level, research on futures hedging has benefited from the recent developments in the econometrics literature. Much research has been done on improving the estimation of the optimal hedge ratio. As more is known about the statistical properties of financial time series, more sophisticated estimation methods are proposed. In this survey we review some recent developments in futures hedging. We delineate the theoretical underpinning of various methods and discuss the econometric implementation of the methods.     

Pure jump models for pricing and hedging VIX derivatives

Recent non-parametric statistical analysis of high-frequency VIX data (Todorov and Tauchen, 2011) reveals that VIX dynamics is a pure jump semimartingale with infinite jump activity and infinite variation. To our best knowledge, existing models in the literature for pricing and hedging VIX derivatives do not have these features. This paper fills this gap by developing a novel class of parsimonious pure jump models with such features for VIX based on the additive time change technique proposed in Li et al., 2016a, Li et al., 2016b. We time change the 3/2 diffusion by a class of additive subordinators with infinite activity, yielding pure jump Markov semimartingales with infinite activity and infinite variation. These processes have time and state dependent jumps that are mean reverting and are able to capture stylized features of VIX. Our models take the initial term structure of VIX futures as input and are analytically tractable for pricing VIX futures and European options via eigenfunction expansions. Through calibration exercises, we show that our model is able to achieve excellent fit for the VIX implied volatility surface which typically exhibits very steep skews. Comparison to two other models in terms of calibration reveals that our model performs better both in-sample and out-of-sample. We explain the ability of our model to fit the volatility surface by evaluating the matching of moments implied from market VIX option prices. To hedge VIX options, we develop a dynamic strategy which minimizes instantaneous jump risk at each rebalancing time while controlling transaction cost. Its effectiveness is demonstrated through a simulation study on hedging Bermudan style VIX options.     

Risk-return measures of hedging effectiveness: The case of multiple cash and futures markets

In this article we consider the measure of hedging effectiveness proposed by Howard and D' Antonio (HD) when there are multiple cash and futures markets. It is found that the HD measure can be decomposed into two components: one solely determined by the futures market conditions, the other affected by both cash and futures markets as well as the hedger's cash portfolio. We then analyze the impacts of optimal cash portfolios on the HD measure. Although the Ederington hedging effectiveness is bounded over all cash portfolios, the conclusion does not apply to the HD measure.     

Dynamic spillover and connectedness between oil futures and European bonds

This paper examines the spillovers and connectedness between crude oil futures and European bond markets (EBMs) having different maturities. We also analyze the hedging effectiveness of crude oil futures-bond portfolios in tranquil and turbulent periods. Using the spillovers index of Diebold and Yilmaz (2012, 2014), we show evidence of time-varying spillovers between markets under investigations, which varies between 65% and 83%. Moreover, three-month, six-month, one-year, three-year and thirty-year bonds and crude oil futures are net receivers of risk from other markets, whereas the remaining bonds are net contributors of risk to the other markets. Crude oil futures receive more risk from long-term than short-term bonds. Moreover, the magnitude of risk transmission is low for the pre-crisis and economic recovery periods. Crude oil futures market contributes significantly to the risk of other markets during the oil crisis and Brexit period. A portfolio risk analysis shows that that most investments should be in oil rather than bonds (except the short-term bonds). The hedge ratio is sensitive to market conditions, where the cost of hedging increases during GFC and ESDC period. Finally, a crude oil futures-bond portfolio offers the best hedging effectiveness during the COVID-19 pandemic period.     

Option pricing and replication with transaction costs and dividends

This paper derives optimal perfect hedging portfolios in the presence of transaction costs within the binomial model of stock returns, for a market maker that establishes bid and ask prices for American call options on stocks paying dividends prior to expiration. It is shown that, while the option holder's optimal exercise policy at the ex-dividend date varies according to the stock price, there are intervals of values for such a price where the optimal policy would depend on the holder's preferences. Nonetheless, the perfect hedging assumption still allows the derivation of optimal hedging portfolios for both long and short positions of a market maker on the option.