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Opcióárazás numerikus módszerekkel
[Option pricing by numerical methods]

Author

Listed:
  • Benedek, Gábor

Abstract

Napjaink egyik legnagyobb érdeklődést kiváltó gazdaságelméleti területe a tőzsde. Az a felismerés ugyanis, hogy különböző értékpapírok árfolyamainak mozgását jól le lehet írni egy sztochasztikus folyamattal, megnyitotta az utat a tőzsde, illetve különböző értékpapírok és származékaik árfolyamainak matematikai modellezése irányába. A korábbi elméleti fizikai kutatások eredményei pedig szinte tálcán kínálták a bonyolultabb differenciálegyenletek megoldásait, amelyeket a tőzsdén tapasztalhatókhoz hasonló sztochasztikus folyamatokból nyertek; igaz, teljesen más mögöttes tartalommal. Különösen nagy figyelmet kaptak az opciók árazására vonatkozó modellek. A jelen tanulmány szintén az opciók árazásának problémáját vizsgálja. Kiindulópontja a BlackScholes-formula, amelyben matematikai megoldást kapunk bizonyos szigorú feltételek mellett az opciók árazására (BlackScholes [1973]). A tanulmány célja, hogy megvizsgálja, mi a következménye ezen szigorú feltételek feloldásának. Elsősorban egy feltétel a tranzakciós költségek hiányának feloldását vizsgáljuk, de eljárást adunk a többi feltétel feloldására is, így téve reálisabbá a modellt.

Suggested Citation

  • Benedek, Gábor, 1999. "Opcióárazás numerikus módszerekkel [Option pricing by numerical methods]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(10), pages 905-929.
    • Handle: RePEc:ksa:szemle:278
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    References listed on IDEAS

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    2. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

    1. Benedek, Gábor, 2000. "Evolúciós alkalmazások előrejelzési modellekben I [Evolutionary applications in forecasting models, Part I]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 988-1007.
    2. Benedek, Gábor, 2001. "Evolúciós alkalmazások előrejelzési modellekben II [Evolutionary applications in forecasting models, Part II]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 18-30.
    3. Nagy, Tamás, 2013. "A villamos erőművek szén-dioxid-kibocsátásának modellezése reálopciók segítségével [Modelling of the carbon dioxide emissions of a power plant, using real options]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(3), pages 318-341.

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    More about this item

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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