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Dynamic Hedging with Foreign Currency Futures in the Presence of Jumps

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  • Chan Wing Hong

    () (City University of Hong Kong)

Abstract

A dynamic hedging strategy based on a bivariate GARCH-jump model augmented with autoregressive jump intensity is proposed to manage currency risk. The GARCH-jump model, capable of capturing volatility clustering and leptokurtosis, provides a comprehensive description of the joint dynamics of the currency spot rate and the futures basis. We find significant common jump components in the currency spot rate and futures basis with jump sizes response asymmetrical to futures basis changes. Our out-of-sample hedging exercises show optimal hedge ratios incorporating information from common jump dynamics substantially reduce the portfolio risk of foreign currencies.

Suggested Citation

  • Chan Wing Hong, 2008. "Dynamic Hedging with Foreign Currency Futures in the Presence of Jumps," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(2), pages 1-25, May.
  • Handle: RePEc:bpj:sndecm:v:12:y:2008:i:2:n:4
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    References listed on IDEAS

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    1. Jun Liu, 2005. "An Equilibrium Model of Rare-Event Premia and Its Implication for Option Smirks," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 131-164.
    2. Wing H. Chan, 2003. "A correlated bivariate Poisson jump model for foreign exchange," Empirical Economics, Springer, vol. 28(4), pages 669-685, November.
    3. Pan, Jun, 2002. "The jump-risk premia implicit in options: evidence from an integrated time-series study," Journal of Financial Economics, Elsevier, vol. 63(1), pages 3-50, January.
    4. Drost, Feike C & Nijman, Theo E & Werker, Bas J M, 1998. "Estimation and Testing in Models Containing Both Jump and Conditional Heteroscedasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(2), pages 237-243, April.
    5. Carolyn W. Chang & Jack S.K. Chang & Hsing Fang, 1996. "Optimum futures hedges with jump risk and stochastic basis," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 16(4), pages 441-458, June.
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    Cited by:

    1. Chang, Chia-Lin & González-Serrano, Lydia & Jimenez-Martin, Juan-Angel, 2013. "Currency hedging strategies using dynamic multivariate GARCH," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 94(C), pages 164-182.
    2. Chang, Kuang-Liang, 2012. "The time-varying and asymmetric dependence between crude oil spot and futures markets: Evidence from the Mixture copula-based ARJI–GARCH model," Economic Modelling, Elsevier, vol. 29(6), pages 2298-2309.
    3. Kuttu, Saint, 2017. "Time-varying conditional discrete jumps in emerging African equity markets," Global Finance Journal, Elsevier, vol. 32(C), pages 35-54.

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