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The term structure of currency hedge ratios

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  • Korn, Olaf
  • Koziol, Philipp

Abstract

Many firms face product price risk in foreign currency, uncertain costs in home currency and exchange rate risk. If prices and exchange rates in different countries interact, natural hedges of foreign exchange risk might result. If the effectiveness of such hedges depends on the hedge horizon, they might affect a firm's usage of foreign exchange derivatives and lead to a term structure of optimal hedge ratios. We analyze this issue by deriving the variance minimizing hedge position in currency forward contracts of an exporting firm that is exposed to different risks. In an empirical study, we quantify the term structure of hedge ratios for a ' typical ' German firm that is exporting either to the United States, the United Kingdom or Japan. Based on cointegrated vector autoregressive models of prices, interest rates and exchange rates, we show that the hedge ratio decreases substantially with the hedge horizon, reaching values of one half or less for a ten-years horizon. Our findings can (partly) explain the severe underhedging of long-term exchange rate exposures that is frequently observed and have important implications for the design of risk management strategies.

Suggested Citation

  • Korn, Olaf & Koziol, Philipp, 2009. "The term structure of currency hedge ratios," CFR Working Papers 09-01, University of Cologne, Centre for Financial Research (CFR).
  • Handle: RePEc:zbw:cfrwps:0901
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    References listed on IDEAS

    as
    1. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters,in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
    2. Katarina Juselius & Ronald MacDonald, 2000. "International Parity Relationships between Germany and the United States: A Joint Modelling Approach," Discussion Papers 00-10, University of Copenhagen. Department of Economics.
    3. G. M. Grossman & K. Rogoff (ed.), 1995. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 3, number 3.
    4. Adam-Müller, Axel F.A. & Nolte, Ingmar, 2011. "Cross hedging under multiplicative basis risk," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2956-2964, November.
    5. Juselius, Katarina, 2006. "The Cointegrated VAR Model: Methodology and Applications," OUP Catalogue, Oxford University Press, number 9780199285679.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    corporate risk management; foreign exchange risk; hedging; cointegrated VAR model;

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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