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Hedging Price Risk When Real Wealth Matters

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    Abstract

    This paper analyzes optimal hedging of a tradable risk (e.g. price risk or exchange rate risk) with forward contracts in the presence of untradable inflation risk. Utility is defined over real wealth. Optimal forward positions are derived relative to a given initial exposure in the tradable risk. A nominally unbiased forward market usually implies a non-zero real risk premium and hence some risk taking. If untradable inflation risk is a monotone function of the tradable risk plus noise, cross hedging and speculating on the real risk premium are conflicting objectives; the level of relative risk aversion determines which objective is dominant in a nominally unbiased forward market.

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    File URL: http://cofe.uni-konstanz.de/Papers/dp99_12.pdf
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    Bibliographic Info

    Paper provided by Center of Finance and Econometrics, University of Konstanz in its series CoFE Discussion Paper with number 99-12.

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    Length: 18 pages
    Date of creation: May 1999
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    Handle: RePEc:knz:cofedp:9912

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    1. Anderson, Ronald W & Danthine, Jean-Pierre, 1981. "Cross Hedging," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1182-96, December.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Barsky, Robert B, 1989. "Why Don't the Prices of Stocks and Bonds Move Together?," American Economic Review, American Economic Association, vol. 79(5), pages 1132-45, December.
    4. Broll, Udo & Wahl, Jack E. & Zilcha, Itzhak, 1995. "Indirect hedging of exchange rate risk," Journal of International Money and Finance, Elsevier, vol. 14(5), pages 667-678, October.
    5. Adam-Muller, Axel F. A., 1997. "Export and hedging decisions under revenue and exchange rate risk: A note," European Economic Review, Elsevier, vol. 41(7), pages 1421-1426, July.
    6. Franke, Gunter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1998. "Who Buys and Who Sells Options: The Role of Options in an Economy with Background Risk," Journal of Economic Theory, Elsevier, vol. 82(1), pages 89-109, September.
    7. Briys, Eric & Crouhy, Michel & Schlesinger, Harris, 1993. "Optimal hedging in a futures market with background noise and basis risk," European Economic Review, Elsevier, vol. 37(5), pages 949-960, June.
    8. Danthine, Jean-Pierre, 1978. "Information, futures prices, and stabilizing speculation," Journal of Economic Theory, Elsevier, vol. 17(1), pages 79-98, February.
    9. Benninga, Simon & Eldor, Rafael & Zilcha, Itzhak, 1983. "Optimal hedging in the futures market under price uncertainty," Economics Letters, Elsevier, vol. 13(2-3), pages 141-145.
    10. Adler, Michael & Dumas, Bernard, 1983. " International Portfolio Choice and Corporation Finance: A Synthesis," Journal of Finance, American Finance Association, vol. 38(3), pages 925-84, June.
    11. Benninga, Simon & Eldor, Rafael & Zilcha, Itzhak, 1985. "Optimal international hedging in commodity and currency forward markets," Journal of International Money and Finance, Elsevier, vol. 4(4), pages 537-552, December.
    12. Hanoch, Giora, 1977. "Risk Aversion and Consumer Preferences," Econometrica, Econometric Society, vol. 45(2), pages 413-26, March.
    13. Holthausen, Duncan M, 1979. "Hedging and the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 69(5), pages 989-95, December.
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