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Pricing of basket options using univariate normal inverse gaussian approximations

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  • Fred Espen Benth
  • Pål Nicolai Henriksen
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    Abstract

    In this paper we study the approximation of a sum of assets having marginal log-returns being multivariate normal inverse Gaussian distributed. We analyse the choice of a univariate exponential NIG distribution, where the approximation is based on matching of moments. Probability densities and European basket call option prices of the two‐asset and univariate approximations are studied and analysed in two cases, each case consisting of nine scenarios of different volatilities and correlations, to assess the accuracy of the approximation. We find that the sum can be well approximated, failing, however, to match the tails for some extreme parameter choices. The approximated option prices are close to the true ones, although becoming significantly underestimated for far out‐of‐the‐money call options. Copyright (C) 2010 John Wiley & Sons, Ltd.

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    File URL: http://hdl.handle.net/10.1002/for.1179
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    Bibliographic Info

    Article provided by John Wiley & Sons, Ltd. in its journal Journal of Forecasting.

    Volume (Year): 30 (2011)
    Issue (Month): 3 (April)
    Pages: 355-376

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    Handle: RePEc:jof:jforec:v:30:y:2011:i:3:p:355-376

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    Web page: http://www3.interscience.wiley.com/cgi-bin/jhome/2966

    Related research

    Keywords: normal inverse Gaussian distribution ; approximation ; moment matching ; basket option ; simulation ;

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