Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-27T21:49:30.675Z Has data issue: false hasContentIssue false

The Hedging of an Uncertain Future Foreign Currency Cash Flow

Published online by Cambridge University Press:  06 April 2009

Abstract

This paper derives the optimal hedge of an uncertain (unknown quantity) future foreign currency cash flow. This more general optimal hedge includes the traditional hedge for a certain (known quantity) future foreign currency cash flow as a special case. The optimal hedge is found to be unbounded and determined by firm-specific conditions, including the variance of the expected cash flow, and the correlation of that future cash flow with actual exchange rate movements. Simulated optimal hedge values are found for U.S.-based multinational firms possessing S/Dm cash flows, using exchange rate data for the 1981–1987 period. Special cases in which the optimal hedge ratio equals zero and one also are identified, and we show that cash flow uncertainty can strongly affect the effectiveness of hedging.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adler, M., and Dumas, B.. “Exposure to Currency Risk: Definition and Measurement.” Financial Management, 13 (Summer 1984), 4150.CrossRefGoogle Scholar
Anvari, M.Efficient Scheduling of Cross-Border Cash Transfers.” Financial Management, 15 (Spring 1986), 4049.CrossRefGoogle Scholar
Babbel, D. F.Determining the Optimum Strategy for Hedging Currency Exposure.” Journal of International Business Studies, 14 (Spring/Summer 1983), 133139.CrossRefGoogle Scholar
Bohenstedt, G. W., and Goldberger, A. S.. “On the Exact Covariance of Products of Random Variables.” American Statistical Association Journal, 64 (12 1969), 14391442.CrossRefGoogle Scholar
Britto, R.The Simultaneous Determination of Spot and Futures Prices in a Simple Model with Production Risk.” Quarterly Journal of Economics, 99 (05 1984), 351365.CrossRefGoogle Scholar
Chicago Mercantile Exchange. International Monetary Market Yearbook. Chicago: annually (19811988).Google Scholar
Cornell, B., and Reinganum, M. R.. “Forward and Futures Prices: Evidence from the Foreign Exchange Markets.” Journal of Finance, 36 (12 1981), 10351045.CrossRefGoogle Scholar
Eaker, M. R., and Grant, D.. “Optimal Hedging of Uncertain and Long-Term Foreign Exchange Exposure.” Journal of Banking and Finance, 9 (06 1985), 221231.CrossRefGoogle Scholar
Ederington, L. H. “The Hedging Performance of the New Futures Markets.” Journal of Finance, 34 (03 1979), 157170.CrossRefGoogle Scholar
Eiteman, D. H., and Stonehill, A. I.. Multinational Business Finance, 5th edition. Reading, MA: Addison-Wesley Publ. Co. (1989).Google Scholar
Flood, E., and Lessard, D. R.. “On the Measurement of Operating Exposure to Exchange Rates: A Conceptual Approach.” Financial Management, 15 (Spring 1986), 2636.CrossRefGoogle Scholar
Giddy, I. H.Exchange Risk: Whose View?Financial Management, 6 (Summer 1977), 2333.CrossRefGoogle Scholar
Hill, J., and Schneeweis, T.. “The Hedging Effectiveness of Foreign Currency Futures.” Journal of Financial Research, 5 (Spring 1982), 95104.CrossRefGoogle Scholar
Hirschleifer, D.Risk, Futures Pricing, and the Organization of Production in Commodity Markets.” Journal of Political Economy, 96 (12 1988), 12061220.CrossRefGoogle Scholar
Jacque, L. L.Management of Foreign Exchange Risk: A Review Article.” Journal of International Business Studies, 12 (Spring/Summer 1981), 81101.CrossRefGoogle Scholar
Johnson, L. L.The Theory of Hedging and Speculating in Commodity Futures.” Review of Economic Studies, 27 (10 1960), 139151.CrossRefGoogle Scholar
Khoury, S. J., and Chan, K. H.. “Hedging Foreign Exchange Risk: Selecting the Optimal Tool.” Journal of Applied Corporate Finance, 1 (Winter 1988), 4052.Google Scholar
Kwok, C. C. Y. “Hedging Foreign Exchange Exposures: Independent vs. Integrative Approaches.” Journal of International Business Studies, 18 (Summer 1987), 3351.CrossRefGoogle Scholar
Levi, M. D.International Finance: The Markets and Financial Management of Multinational Business, 2nd edition. New York: McGraw-Hill Publ. Co. (1990).Google Scholar
Lindahl, M.Measuring Hedging Effectiveness With R2: A Note.” The Journal of Futures Markets, 9 (10 1989), 469475.CrossRefGoogle Scholar
Rodriguez, R. M.Corporate Exchange Risk Management: Theme and Aberrations.” Journal of Finance, 36 (05 1981), 427439.CrossRefGoogle Scholar
Rolfo, J.Optimal Hedging under Price and Quantity Uncertainty: The Case of a Cocoa Producer.” Journal of Political Economy, 88 (02 1980), 100116.CrossRefGoogle Scholar
Shapiro, A. C.Currency Risk and Relative Price Risk.” Journal of Financial and Quantitative Analysis, 19 (12 1984), 365373.CrossRefGoogle Scholar
Smith, C. W., and Stulz, R. M.. “The Determinants of Firms' Hedging Policies.” Journal of Financial and Quantitative Analysis, 20 (12 1985), 391405.CrossRefGoogle Scholar
Stein, J. L.The Simultaneous Determination of Spot and Futures Prices.” American Economic Review, 51 (12 1961), 10121025.Google Scholar
Stiglitz, J. E. “Futures Markets and Risk: A General Equilibrium Approach.” In Futures Markets: Modelling, Managing, and Monitoring Futures Trading, Streit, Manfred, ed. Oxford: Basil Blackwell (1983), 75106.Google Scholar
Stulz, R. M.Optimal Hedging Policies.” Journal of Financial and Quantitative Analysis, 19 (06 1984), 127140.CrossRefGoogle Scholar
Swanson, P. E., and Caples, S. C.. “Hedging Foreign Exchange Risk Using Forward Foreign Exchange Markets: An Extension.” Journal of International Business Studies, 18 (Spring 1987), 7582.CrossRefGoogle Scholar