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An Empirical Examination of the Variance-Gamma Model for Foreign Currency Options

Author

Listed:
  • Elton A. Daal

    (University of New Orleans)

  • Dilip B. Madan

    (University of Maryland)

Abstract

We apply the variance-gamma (VG) option-pricing model to currency options. The model is a pure infinite-activity jump model. We examine whether and to what extent this new model can improve the pricing quality for currency options over the existing modified Black-Scholes model and the Merton jump-diffusion (JD) model. We find that the VG model yields better out-of-sample pricing performance than the modified Black-Scholes model or the JD model. In addition, a cross-entropy analysis shows that the VG model is more consistent with the general criterion of utility maximization and optimal portfolio selection.

Suggested Citation

  • Elton A. Daal & Dilip B. Madan, 2005. "An Empirical Examination of the Variance-Gamma Model for Foreign Currency Options," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2121-2152, November.
  • Handle: RePEc:ucp:jnlbus:v:78:y:2005:i:6:p:2121-2152
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    Citations

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    Cited by:

    1. Vladimir K. Kaishev & Dimitrina S. Dimitrova, 2009. "Dirichlet Bridge Sampling for the Variance Gamma Process: Pricing Path-Dependent Options," Management Science, INFORMS, vol. 55(3), pages 483-496, March.
    2. Todorov, Viktor & Tauchen, George, 2010. "Activity signature functions for high-frequency data analysis," Journal of Econometrics, Elsevier, vol. 154(2), pages 125-138, February.
    3. Göncü, Ahmet & Karahan, Mehmet Oğuz & Kuzubaş, Tolga Umut, 2016. "A comparative goodness-of-fit analysis of distributions of some Lévy processes and Heston model to stock index returns," The North American Journal of Economics and Finance, Elsevier, vol. 36(C), pages 69-83.
    4. repec:gam:jrisks:v:6:y:2018:i:2:p:58-:d:147258 is not listed on IDEAS
    5. Xing Yu & Yang Xiaoping, 2016. "Equilibrium pricing of currency options under a discontinuous model in a two-country economy," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(2), pages 185-198, April.
    6. Ammann, Manuel & Buesser, Ralf, 2013. "Variance Risk Premiums in Foreign Exchange Markets," Working Papers on Finance 1304, University of St. Gallen, School of Finance.
    7. repec:bpj:strimo:v:35:y:2018:i:1-2:p:23-33:n:2 is not listed on IDEAS
    8. Oguzhan Cepni & Ahmet Goncu & Mehmet Oguz Karahan & Tolga Umut Kuzubas, 2013. "Goodness-of-fit of the Heston, Variance-Gamma and Normal-Inverse Gaussian Models," Working Papers 2013/16, Bogazici University, Department of Economics.
    9. Yeap, Claudia & Kwok, Simon S. & Choy, S. T. Boris, 2016. "A Flexible Generalised Hyperbolic Option Pricing Model and its Special Cases," Working Papers 2016-14, University of Sydney, School of Economics.
    10. Ahmet Göncü & Mehmet Oguz Karahan & Tolga Umut Kuzubas, 2013. "Fitting the Variance-Gamma Model: A Goodness-of-Fit Check for Emerging Markets," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 27(2), pages 1-10.
    11. Roman V. Ivanov & Katsunori Ano, 2016. "On exact pricing of FX options in multivariate time-changed Lévy models," Review of Derivatives Research, Springer, vol. 19(3), pages 201-216, October.
    12. Andreas W. Rathgeber & Johannes Stadler & Stefan Stöckl, 2016. "Modeling share returns - an empirical study on the Variance Gamma model," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 40(4), pages 653-682, October.
    13. Gian P. Cervellera & Marco P. Tucci, 2017. "A note on the Estimation of a Gamma-Variance Process: Learning from a Failure," Computational Economics, Springer;Society for Computational Economics, vol. 49(3), pages 363-385, March.
    14. Olesia Verchenko, 2011. "Testing option pricing models: complete and incomplete markets," Discussion Papers 38, Kyiv School of Economics.
    15. Gian P. Cervellera & Marco P. Tucci, 2014. "A note on the estimation of a Gamma-Variance process: Learning from a failure," Department of Economics University of Siena 702, Department of Economics, University of Siena.
    16. Göncü, Ahmet & Yang, Hao, 2016. "Variance-Gamma and Normal-Inverse Gaussian models: Goodness-of-fit to Chinese high-frequency index returns," The North American Journal of Economics and Finance, Elsevier, vol. 36(C), pages 279-292.

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