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Option Pricing under the Bates Model Using the Discontinuous Galerkin Method

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F22%3A10250544" target="_blank" >RIV/61989100:27510/22:10250544 - isvavai.cz</a>

  • Alternative codes found

    RIV/46747885:24510/22:00011947

  • Result on the web

    <a href="https://aip.scitation.org/toc/apc/2505/1?windowStart=50&size=50" target="_blank" >https://aip.scitation.org/toc/apc/2505/1?windowStart=50&size=50</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/5.0100665" target="_blank" >10.1063/5.0100665</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Option Pricing under the Bates Model Using the Discontinuous Galerkin Method

  • Original language description

    Stochastic volatility models with jumps generalize the classical Black-Scholes framework to capture more properly the real world features of option contracts. The extension is performed by incorporating jumps and a stochastic nature of volatility of asset returns into the dynamics of underlying asset prices. In this paper, we focus on pricing of European-style options under the Bates model that combines the Merton jump-diffusion model with a stochastic volatility proposed by Heston. As a result, the pricing function is governed by a partial-integro differential equation with two spatial variables, specifically, the price of the underlying asset and its variance. Moreover, the simultaneous presence of the non-local integral term arising from jumps increases the complexity of the problem. Therefore, to improve the numerical valuation we solve the corresponding governing equation by a discontinuous Galerkin approach with a semi-implicit time stepping scheme, where the differential part is treated implicitly while the integral one explicitly by the composite trapezoidal rule. Finally, the numerical results obtained are compared within the reference benchmark. (C) 2022 American Institute of Physics Inc.. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    50200 - Economics and Business

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • 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 2505

  • ISBN

    978-0-7354-4396-9

  • ISSN

    0094-243X

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • Publisher name

    AIP Publishing

  • Place of publication

    Melville

  • Event location

    Sofie

  • Event date

    Jun 7, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article