All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Numerical Pricing American-style Options within the Black-Scholes Framework

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F18%3A10243827" target="_blank" >RIV/61989100:27510/18:10243827 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical Pricing American-style Options within the Black-Scholes Framework

  • Original language description

    Option pricing is one of the classical problems in financial engineering. Since exact solutions in analytical form are available for simple option contracts in particular, a numerical approach is desirable due to the fact that relaxed standard assumptions do not allow the construction of such solutions. In this paper, we consider the problem of pricing American-style options in the classical Black-Scholes framework; that is, we admit the early exercise feature. This constraint can be viewed as an additional non-linear source term in the option-pricing partial differential equation. The contribution of the paper lies in the proposal of a numerical scheme to solve this pricing equation and in the relationship of the presented technique with the existing pricing approaches. The numerical approach is based on the modification of the discontinuous Galerkin method incorporating a penalty term that handles the early exercise constraint. The capabilities of the scheme derived are documented using reference experiments and compared with the standard finite difference method.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    50200 - Economics and Business

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Ekonomická revue

  • ISSN

    1212-3951

  • e-ISSN

  • Volume of the periodical

    22

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    7

  • Pages from-to

    117-123

  • UT code for WoS article

  • EID of the result in the Scopus database