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Multi-asset options with different payof functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23510%2F18%3A43954693" target="_blank" >RIV/49777513:23510/18:43954693 - isvavai.cz</a>

  • Result on the web

    <a href="https://mme2018.fm.vse.cz/" target="_blank" >https://mme2018.fm.vse.cz/</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Multi-asset options with different payof functions

  • Original language description

    The paper deals with formulation of multi-asset option pricing problems with different payoff functions. Multi-variability is important concept in financial engineering as many non-standard structured products in the market are exposed to multiple source of randomness. Spot prices of underlying asset are assumed to follow geometric Brownian motion with correlation structure. Using traditional approach based on self-financing portfolio and application of Itˆo’s formula to option price we get resulting partial differential equation describing the evolution of option price in space and time. Most payoff functions are assumed to be non-negative convex function over a convex domain depending on underlying asset prices. Some typical examples of them are presented. Within a framework of multi-asset options a pricing of rainbow trend options was presented recently. In general, they are desirable to investors due to their diversification effects over different assets and time. We present the numerical implementation of pricing these options in Mathematica.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

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

  • Article name in the collection

    36-th International Conference Mathematical Methods in Economics, Conference Proceedings

  • ISBN

    978-80-7378-371-6

  • ISSN

  • e-ISSN

    neuvedeno

  • Number of pages

    6

  • Pages from-to

    300-305

  • Publisher name

    MatfyzPress, Publishing House of the Faculty of Mathematics and Physics Charles University, Prague

  • Place of publication

    Praha

  • Event location

    Jindřichův Hradec

  • Event date

    Sep 12, 2018

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article