Export Flexibility And Currency Hedging*

This article studies the behavior of an export‐flexible firm under exchange rate uncertainty. We show that the separation theorem holds if selling exclusively in the domestic market is suboptimal even under the most unfavorable spot exchange rate. Otherwise, the firm's optimal output depends on its preferences and on the underlying uncertainty. We further show that the full‐hedging theorem holds only when the firm always finds it optimal to sell its entire output in the foreign market. Otherwise, export flexibility introduces a convexity into the firm's foreign exchange risk exposure, which calls for the use of currency options for hedging purposes.     

Export-Flexible Firms and Forward Markets

This paper examines the production and hedging decisions of an exporting firm under exchange rate uncertainty. The firm is export flexible in that it can distribute its output to either the domestic market or a foreign market, after observing the realized spot exchange rate. The firm is a monopoly in the domestic market but a price-taker in the foreign market. It is shown that the separation theorem holds if selling exclusively in the domestic market is suboptimal even under the most unfavorable sport exchange rate. Otherwise, the firm's optimal output depends on its preference and on the underlying exchange rate uncertainty. Furthermore, the export-flexible firm underhedges its exchange rate risk exposure in a currency forward market wherein the forward exchange rate contains a non-positive risk premium. [D21, F31]     

Exports and Indirect Hedging of Foreign Currency Risk

We present a model of a risk-averse competitive exporting firm under exchange rate risk. Direct hedging instruments are not available. However, there are domestic assets whose prices are correlated to the foreign currency. We consider a market for futures contracts in these domestic assets and investigate the firm's indirect hedging and export policy. It is shown that the availability of many financial instruments correlated with foreign exchange may, under some circumstances, provide the same results as a perfect hedge.
JEL Classification Numbers: F21, F31.     

CROSS‐HEDGING OF EXCHANGE RATE RISKS: A NOTE*

This note studies the optimal production and hedging decisions of a competitive international firm that exports to two foreign countries. The firm faces multiple sources of exchange rate uncertainty. Cross‐hedging is plausible in that one of the two foreign countries has a currency forward market. We show that the firm's optimal forward position is an over‐hedge, a full‐hedge or an under‐hedge, depending on whether the two random exchange rates are strongly positively correlated, uncorrelated or negatively correlated, respectively.     

Currency Hedging For Export-Flexible Firms *

This paper examines the production and hedging decisions of a competitive exporting firm under exchange rate uncertainty. The firm possesses export flexibility in that it can distribute its output to either the domestic market or a foreign market, after observing the true realization of the exchange rate. It is shown that the separation theorem does not hold under export flexibility, i.e., the firm's optimal output depends on the firm's preference and on the underlying exchange rate uncertainty. Furthermore, the export- flexible firm underhedges its exchange rate risk exposure in a currency forward market where in the forward exchange rate contains a non-positive risk premium. [D21, F31]     

Currency hedging with options and futures

This paper examines the optimal hedging decision of a competitive exporting firm which faces concurrently hedgeable exchange rate risk and non-hedgeable price risk. We show that the hedging role of currency options is due to two distinct sources of non-linearity: (i) the multiplicative nature of the price and exchange rate risk; and (ii) the marginal utility function of the firm. In particular, we show that a long put option position is optimal when the price risk is negatively correlated with the exchange rate risk and/or the firm is prudent.     

EXPORT AND HEDGING DECISIONS UNDER CORRELATED REVENUE AND EXCHANGE RATE RISK

This paper examines the behaviour of a competitive exporting firm under joint revenue and exchange rate risk. The firm can trade unbiased currency futures contracts for hedging purposes. We show that neither the separation theorem nor the full‐hedging theorem holds when the revenue shock prevails. If the correlation between the revenue shock and the random spot exchange rate is non‐positive, the firm optimally produces less than the benchmark level when the revenue shock is absent. If, in addition, the firm is prudent, the optimal futures position is an under‐hedge. Finally, we derive sufficient conditions under which the firm's optimal output level is higher in the presence than in the absence of the revenue shock. Operational hedging and financial hedging as such interact in a complicated way to better cope with the multiple sources of uncertainty faced by the firm.     

外汇风险对冲和公司价值:基于中国跨国公司的实证研究

2005年7月人民币汇改以来,人民币升值,特别是相对于美元大幅升值,其不利影响开始显现,我国不少跨国公司使用外汇衍生品来对冲人民币汇率升值带来的风险。然而,尽管不少国外学者对金融衍生品使用和公司价值的关系进行了深入研究,但以中国公司为样本的研究仍很少见。中信泰富等衍生品投机事件和2008年金融危机的发生使得我国学者对金融衍生工具的作用和性质争议不断,使用外汇衍生品对冲外汇风险是否增加公司价值仍是一个有待深入研究的问题。本文基于2007年至2009年968家中国跨国公司的数据,实证检验了外汇衍生品使用和公司价值的关系,发现外汇衍生品使用带来了约10%的价值溢价,这一重要发现和基于发达国家的不少研究相一致。该研究成果支持了外汇衍生品在汇率风险管理中的积极作用和加快发展我国外汇衍生品市场特别是交易所市场以掌握人民币汇率定价权的重要性和紧迫性。     

Strategic use of futures and options by commodity processors

The impacts of input–output price relationships on end-users' demands for positions in futures and options are analyzed using a mean-variance portfolio model and applied to price risk management in the bread manufacturing industry. A production relationship was assumed between the input and resultant output, and correlation between the input and output prices were introduced into the portfolio model. The optimal hedge ratio can be either positive or negative depending upon the relationship between the input and output price standard deviation adjusted for production technology and input–output price correlation. Introduction of a call option into the portfolio (in addition to the futures) does not change the hedging demand for futures; however, the speculative component changes. The results show that the addition of input–output linear production and price correlation relationships would not justify a hedging role for options unless there is bias in the futures and/or options markets.     

Export,Exchange Rate Risk and Hedging: The Duopoly Case

Abstract. This paper studies a Cournot duopoly in international trade with firms exposed to exchange rate risk. A hedging opportunity is introduced by a forward market on which one firm can trade the foreign currency. We investigate two settings: First, we assume that hedging and output decisions are taken simultaneously. It is shown that hedging is exclusively done for risk‐managing reasons as it is not possible to use hedging strategically. Second, the hedging decision is made before the output decisions. We show that hedging is not only used to manage the risk exposure but also as a strategic device.     

Optimal hedging with currency forwards,calls, and calls on forwards for the competitive exporting firm facing exchange rate uncertainty

We extend the well-known full hedge theorems of the hedging literature to random profits that are nonlinear in the random exchange rate. This arises when production flexibility is added to the standard model of the risk-averse exporting firm, where all production decisions have to be made before the exchange rate is known. Hence, hedging with currency derivatives that provide a linear payoff in the exchange rate can no longer provide a perfect hedge. Therefore forward selling is replaced by writing a certain call portfolio. Adding delayed revenue to the model induces the firm to sell calls on forwards. Because our generalized full hedge proposition is proved for random profits that might as well decrease in the exchange rate, the result is applicable to certain types of importing firms, too. — Given the absence of speculative motives on the part of the firm, it turns out that long-term investments in capital goods are chosen in risk-neutral manner.     

Export Flexibility and Hedging

The paper considers a risk-averse international firm which sells its output in either the domestic or the foreign market. The firm possesses export flexibility, and so it can choose between the domestic and export markets after considering the foreign exchange rate. It is shown that a separation property holds if the proper hedging instrument is used: the firm's production depends on market prices and technology and does not depend on its attitude towards risk nor on its expectations. A full-hedge proposition is derived.     

OPTIMAL EXPORT AND HEDGING DECISIONS WHEN FORWARD MARKETS ARE INCOMPLETE

This paper examines the behaviour of the competitive firm that exports to two foreign countries under multiple sources of exchange rate uncertainty. There is a forward market between the home currency and one foreign country's currency, but there are no hedging instruments directly related to the other foreign country's currency. We show that the separation theorem holds when the firm optimally exports to the foreign country with the currency forward market. The full‐hedging theorem holds either when the firm exports exclusively to the foreign country with the currency forward market or when the relevant spot exchange rates are independent. In the case that the relevant spot exchange rates are positively (negatively) correlated in the sense of regression dependence, the firm optimally opts for a short (long) forward position for cross‐hedging purposes.     

Price uncertainty,future markets and correlation

This paper examines the optimal trade and hedging decisions of a competitive exporting firm which faces concurrently hedgeable exchange rate risk and non‐hedgeable inflation risk. The macroeconomic interaction between exchange rate and domestic inflation rate risk is described by a state variable. The (strong) correlation is pivotal in determining the optimal risk management. It is shown how optimal hedging strategies are affected by state‐dependent preferences of the firm. The optimal hedge policy is to minimize the variation of marginal utility of final wealth across states of nature instead of minimizing the variance of final wealth.     

Optimal Hedging Under Forward-Looking Behaviour*

The study focuses on the production and hedging behaviour of forward-looking risk-averse competitive firms. It is shown that there is separation between production and hedging. Optimal productin for a forward-looking firm is identical to that of an otherwise equivalent myopic firm. However, the optimal forward-looking hedge differs from the optimal myopic hedge. If forward prices are unbiased, full hedging is suboptimal when the firm is forward looking and output and material input prices are contemporaneously related. Furthermore, under certain conditions, the optimal forward-looking hedge under unbiased forward prices is strictly smaller than the full hedge.     

The Effects of Foreign Currency Derivatives on the Monetary Policy Exchange Rate Channel in China

This paper examines changes in the monetary policy exchange rate channel in the presence of foreign currency derivatives (FCD) markets in China. Initially a theoretical macroeconomics model incorporating the exchange rate risk hedging is presented, and this is followed by an empirical test. A theoretical model implies that with more firms using foreign currency derivatives to hedge the exchange rate risk, the effect of the exchange rate on the net exports will be weaker and may even be reversed. The empirical section uses Structure Vector Autoregression (SVAR) models with China's monthly macro data over the 2000–2013 period to assess the impact of the FCD market on the exchange rate channel. Empirical support for the changes in the exchange rate channel transmission is found. By impulse response function (IRF) analysis, with the emergence of the domestic FCD market in China, in the long run the probability becomes higher that the negative effect of RMB appreciation on China's net exports to the US is reversed; meanwhile the negative effects of RMB appreciation on the overall net exports and the net exports to the EU become gradually weaker on average.     

HEDGING AND THE COMPETITIVE FIRM UNDER AMBIGUOUS PRICE AND BACKGROUND RISK

This paper examines the optimal production and hedging decisions of the competitive firm that possesses smooth ambiguity preferences and faces ambiguous price and background risk. The separation theorem holds in that the firm's optimal output level depends neither on the firm's attitude towards ambiguity nor on the incident to the underlying ambiguity. We derive necessary and sufficient conditions under which the full‐hedging theorem holds and thus options are not used. When these conditions are violated, we show that the firm optimally uses options for hedging purposes if ambiguity is introduced to the price and background risk by means of mean‐preserving spreads. We as such show that options play a role as a hedging instrument over and above that of futures.     

Forward Markets and the Behaviour of the Competitive Firm with Production Flexibility

This paper examines the production and hedging decisions of the competitive firm under output price uncertainty when a forward market for its output is available. The firm possesses production flexibility in that it makes its production decision after the resolution of the output price uncertainty, albeit subject to a capacity constraint on production. We show that the firm optimally acquires a higher level of capacity investment than an otherwise identical firm with no production flexibility. We further show that production flexibility allows the firm to implicitly hedge against its output price risk exposure by the ex post production decision. The firm as such under‐hedges its output price risk exposure in the forward market wherein the forward price contains a non‐positive risk premium.     

Inflation Risk, Hedging, and Exports

This paper analyzes optimal production and hedging decisions of a risk-averse exporting firm in a developing country. The firm cares about real profits, since the spot exchange rate and the domestic price level are uncertain. It is demonstrated that a separation property holds although there are two sources of risk and only one hedging instrument exists. The authors examine the optimal risk management of the firm. In contrast to most hedging models, the real risk premium is important for the optimal hedging strategy.     

Cross-Hedging of Exchange-Rate Risk

For currencies with highly developed forward markets a well-known separation theorem holds which implies that international firms fully hedge the exchange rate risk if the forward markets are unbiased. In this paper we present a model of a risk-averse firm when perfect hedging instruments are not available. Instead the firm can cross-hedge the exchange-rate risk by using the forward markets of a third country's currency. We demonstrate that the unbiasedness of all forward markets does not imply full hedge, although the firm has the option to hedge all the risks.