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Cross‐Hedging Ambiguous Exchange Rate Risk

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  • Kit Pong Wong

Abstract

This paper examines the behavior of an exporting firm that sells its output to two foreign countries, only one of which has futures and options available for its currency. The firm possesses smooth ambiguity preferences and faces multiple sources of ambiguous exchange rate risk. We show that the separation theorem fails to hold in that the firm's production and export decisions depend on the firm's attitude toward ambiguity and on the incident to the underlying ambiguity. Given that the random spot exchange rates are first‐order independent with respect to each plausible subjective distribution, we derive necessary and sufficient conditions under which the full‐hedging theorem applies to the firm's cross‐hedging decisions. When these conditions are violated, we show that the firm includes options in its optimal hedge position. This paper as such offers a rationale for the hedging role of options under smooth ambiguity preferences and cross‐hedging of ambiguous exchange rate risk. © 2016 Wiley Periodicals, Inc. Jrl Fut Mark 37:132–147, 2017

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  • Kit Pong Wong, 2017. "Cross‐Hedging Ambiguous Exchange Rate Risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(2), pages 132-147, February.
  • Handle: RePEc:wly:jfutmk:v:37:y:2017:i:2:p:132-147
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    Cited by:

    1. Wong, Kit Pong, 2024. "Optimal nonlinear pricing by a monopoly with smooth ambiguity preferences," International Review of Economics & Finance, Elsevier, vol. 89(PA), pages 594-604.
    2. Udo Broll & Peter Welzel & Kit Pong Wong, 2018. "Ambiguity preferences, risk taking and the banking firm," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 8(3), pages 343-353, December.

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