Numerical pricing of options: A review of basic approaches

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Numerical pricing of options: A review of basic approaches

Popis výsledku v původním jazyce

Option pricing theory is a very important discipline which has a lot of applications in financial engineering. In this paper we focus on a single plain vanilla option pricing problem and its generalization for multi-asset options, especially in two dimensions. The main aim is to present a practical numerical scheme to solve a nonstationary PDE model arising from a classical Black-Scholes framework. This scheme is based on the discontinuous Galerkin (DG) approximation in spatial domain together with the theta-method for the time discretization, and leads to a sparse matrix system at each time level. One of the advantages of DG approach is a piecewise polynomial approximation that can better resolve possible discontinuities in solutions, the second one is a relatively easy implementation of hp-refinement. The presented DG solver is tested on several numerical benchmarks with real market data.

Název v anglickém jazyce

Numerical pricing of options: A review of basic approaches

Popis výsledku anglicky

Option pricing theory is a very important discipline which has a lot of applications in financial engineering. In this paper we focus on a single plain vanilla option pricing problem and its generalization for multi-asset options, especially in two dimensions. The main aim is to present a practical numerical scheme to solve a nonstationary PDE model arising from a classical Black-Scholes framework. This scheme is based on the discontinuous Galerkin (DG) approximation in spatial domain together with the theta-method for the time discretization, and leads to a sparse matrix system at each time level. One of the advantages of DG approach is a piecewise polynomial approximation that can better resolve possible discontinuities in solutions, the second one is a relatively easy implementation of hp-refinement. The presented DG solver is tested on several numerical benchmarks with real market data.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50200 - Economics and Business

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název statě ve sborníku

Managing and Modelling of Financial Risks : proceedings of the 8th international scientific conference : September 5-6, 2016, Ostrava, Czech Republic

ISBN

978-80-248-3994-3

ISSN

2464-6970

e-ISSN

2464-6989

Počet stran výsledku

10

Strana od-do

323-332

Název nakladatele

VŠB - Technical University of Ostrava

Místo vydání

Ostrava

Místo konání akce

Ostrava

Datum konání akce

5. 9. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000495792700040