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A DG approach to the numerical solution of the Stein-Stein stochastic volatility option pricing model

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F17%3A00005094" target="_blank" >RIV/46747885:24510/17:00005094 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27510/17:10240134

  • Result on the web

    <a href="https://doi.org/10.1063/1.5013965" target="_blank" >https://doi.org/10.1063/1.5013965</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.5013965" target="_blank" >10.1063/1.5013965</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A DG approach to the numerical solution of the Stein-Stein stochastic volatility option pricing model

  • Original language description

    Stochastic volatility models enable to capture the real world features of the options better than the classical Black- Scholes treatment. Here we focus on pricing of European-style options under the Stein-Stein stochastic volatility model when the option value depends on the time, on the price of the underlying asset and on the volatility as a function of a mean reverting Orstein-Uhlenbeck process. A standard mathematical approach to this model leads to the non-stationary second-order degenerate partial differential equation of two spatial variables completed by the system of boundary and terminal conditions. In order to improve the numerical valuation process for a such pricing equation, we propose a numerical technique based on the discontinuous Galerkin method and the Crank-Nicolson scheme. Finally, reference numerical experiments on real market data illustrate comprehensive empirical findings on options with stochastic volatility.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

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

    2017

  • 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

  • ISBN

    978-0-7354-1602-4

  • ISSN

    0094-243X

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

  • Publisher name

  • Place of publication

    Melville

  • Event location

    Sozopol, Bulgaria

  • Event date

    Jan 1, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000423866900028