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Multivariate Affine Generalized Hyperbolic Distributions: An Empirical Investigation

Author

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  • José Fajardo

    (IBMEC Business School - Rio de Janeiro)

  • Aquiles Farias

    (Central Bank of Brazil)

Abstract

The aim of this paper is to estimate the Multivariate Affine Generalized distributions (MAGH) using market data. We use Ibovespa, CAC, DAX, FTSE, NIKKEI and S&P500 indexes. We estimate the univariate distributions, the bi-variate distributions and the 6-dimensional distribution. Then, we asses their goodness of fit using Kolmogorov distances.

Suggested Citation

  • José Fajardo & Aquiles Farias, 2008. "Multivariate Affine Generalized Hyperbolic Distributions: An Empirical Investigation," IBMEC RJ Economics Discussion Papers 2008-01, Economics Research Group, IBMEC Business School - Rio de Janeiro.
    • Handle: RePEc:ibr:dpaper:2008-01
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    File URL: http://professores.ibmecrj.br/erg/dp/papers/dp200801.pdf
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    Cited by:

    1. BenSaïda, Ahmed & Slim, Skander, 2016. "Highly flexible distributions to fit multiple frequency financial returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 203-213.
    2. Wang, Chou-Wen & Liu, Kai & Li, Bin & Tan, Ken Seng, 2022. "Portfolio optimization under multivariate affine generalized hyperbolic distributions," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 49-66.
    3. Barros Fernandes, José Luiz & Haas Ornelas, José Renato & Martínez Cusicanqui, Oscar Augusto, 2012. "Combining equilibrium, resampling, and analyst’s views in portfolio optimization," Journal of Banking & Finance, Elsevier, vol. 36(5), pages 1354-1361.
    4. Fajardo, José & Farias, Aquiles, 2010. "Derivative pricing using multivariate affine generalized hyperbolic distributions," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1607-1617, July.
    5. Fajardo, José & Mordecki, Ernesto, 2010. "Market symmetry in time-changed Brownian models," Finance Research Letters, Elsevier, vol. 7(1), pages 53-59, March.

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