About: Imprecise input data and option valuation problem

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	During last decades the stochastic simulation approach, both via MC and QMC has been vastly applied and subsequently analyzed in almost all branches of science. Very nice applications can be found in areas that rely on modeling via stochastic processes, such as finance. However, since financial quantities – opposed to natural processes – depend on human activity, their modeling is often very challenging. Many scholars therefor suggest to specify some parts of financial models by means of fuzzy set theory. Since many financial problems are too complex to be solved analytically even in a crisp case, it can be efficient to apply (Quasi) Monte Carlo simulation. In this contribution the recent knowledge of fuzzy numbers and their approximation is utilized in order to suggest fuzzy-MC simulation to option price modeling in terms of fuzzy-random variables. In particular, we suggest three distinct fuzzy-random processes as an alternative to a standard crisp model. Application possibilities are shown on illustrative examples. During last decades the stochastic simulation approach, both via MC and QMC has been vastly applied and subsequently analyzed in almost all branches of science. Very nice applications can be found in areas that rely on modeling via stochastic processes, such as finance. However, since financial quantities – opposed to natural processes – depend on human activity, their modeling is often very challenging. Many scholars therefor suggest to specify some parts of financial models by means of fuzzy set theory. Since many financial problems are too complex to be solved analytically even in a crisp case, it can be efficient to apply (Quasi) Monte Carlo simulation. In this contribution the recent knowledge of fuzzy numbers and their approximation is utilized in order to suggest fuzzy-MC simulation to option price modeling in terms of fuzzy-random variables. In particular, we suggest three distinct fuzzy-random processes as an alternative to a standard crisp model. Application possibilities are shown on illustrative examples. (en)
Title	Imprecise input data and option valuation problem Imprecise input data and option valuation problem (en)
skos:prefLabel	Imprecise input data and option valuation problem Imprecise input data and option valuation problem (en)
skos:notation	RIV/61989100:27510/13:86086859!RIV14-GA0-27510___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0070), P(EE2.3.20.0296), P(GA13-13142S), S
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Tichý, Tomáš Holčapek, Michal
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Ekonomická fakulta
http://linked.open...dnocenehoVysledku	79266
http://linked.open...ai/riv/idVysledku	RIV/61989100:27510/13:86086859
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	fuzzy random variable, fuzzy quantity, fuzzy stochastic process, fuzzy distribution function (en)
http://linked.open.../riv/klicoveSlovo	fuzzy random variable fuzzy stochastic process fuzzy distribution function fuzzy quantity
http://linked.open...ontrolniKodProRIV	[9D9FA2E6ED58]
http://linked.open...v/mistoKonaniAkce	Jihlava
http://linked.open...i/riv/mistoVydani	Jihlava
http://linked.open...i/riv/nazevZdroje	Mathematical Methods in Economics 2013 : 31st international conference : 11-13 September 2013, Jihlava, Czech Republic
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Research team for modelling of economic and financial processes at VSB-TU Ostrava Verification of suitability of particular Lévy models for selected issues of financial modeling IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Holčapek, Michal Tichý, Tomáš
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-09-11 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	College of Polytechnics Jihlava
https://schema.org/isbn	978-80-87035-76-4
http://localhost/t...ganizacniJednotka	27510

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