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Numerical pricing of options under the exponential Ornstein-Uhlenbeck stochastic volatility model based on a DG technique

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F18%3A10240130" target="_blank" >RIV/61989100:27510/18:10240130 - isvavai.cz</a>

  • Alternative codes found

    RIV/46747885:24510/18:00007428

  • Result on the web

    <a href="http://dx.doi.org/10.1063/1.5082070" target="_blank" >http://dx.doi.org/10.1063/1.5082070</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.5082070" target="_blank" >10.1063/1.5082070</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical pricing of options under the exponential Ornstein-Uhlenbeck stochastic volatility model based on a DG technique

  • Original language description

    Stochastic volatility models are a variance extension of the classical Black-Scholes model dynamics by introducing an-other auxiliary processes to model the volatility of the underlying asset returns. Here we study the pricing problem for European-style options under a one-factor stochastic volatility model when the volatility of the underlying price is governed by the exponen-tial Ornstein-Uhlenbeck process. The problem can be formulated as a non-stationary second-order degenerate partial differential equation accompanied by initial and boundary conditions, whose analytical solutions are not available in general. Therefore, the approximate option value is obtained by a numerical procedure based on a discontinuous Galerkin technique that provides promising results. Finally, reference numerical experiments are provided with the emphasis on the behaviour of the option values with respect to the discretization parameters

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    50206 - Finance

Result continuities

  • Project

    <a href="/en/project/GA16-09541S" target="_blank" >GA16-09541S: Robust numerical schemes for pricing of selected options under various market conditions</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    AIP Conference Proceedings. Volume 2048

  • ISBN

    978-0-7354-1774-8

  • ISSN

    0094-243X

  • e-ISSN

    1551-7616

  • Number of pages

    9

  • Pages from-to

  • Publisher name

    American Institute of Physics

  • Place of publication

    Melville

  • Event location

    Sozopol

  • Event date

    Jun 8, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article