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Numerical pricing of European basket options with discrete barrier via the discontinuous Galerkin method

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F16%3A00004020" target="_blank" >RIV/46747885:24510/16:00004020 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical pricing of European basket options with discrete barrier via the discontinuous Galerkin method

  • Original language description

    This paper extends the results from the authors' previous research on a single plain vanilla option pricing problem by discontinuous Galerkin method. By contrast, we focus here on options, whose payoff depends on two distinct sources of randomness and is conditional on a barrier activating at discrete time moments. The developed numerical scheme for pricing of such options is based on the discontinuous Galerkin method, which is a suitable tool for the analysis of a priori discontinuities in the solution due to the discrete monitoring. Several barriers are discussed and the resulting algorithm is verified on experiments with real market data. The first author acknowledges support provided within SGS Project: Modern numerical methods III, financed by TU Liberec. However, the student's involvement in the composition of this article was not high, so her name is not listed in the team of authors.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    FINANCIAL MANAGEMENT OF FIRMS AND FINANCIAL INSTITUTIONS: 10TH INTERNATIONAL SCIENTIFIC CONFERENCE, PTS I-IV

  • ISBN

    978-80-248-3865-6

  • ISSN

    2336-162X

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    385-395

  • Publisher name

    VSB TU Ostrava

  • Place of publication

    Ostrava

  • Event location

    Ostrava

  • Event date

    Jan 1, 2015

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

    000376799500044