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Probability distribution of returns in the Heston model with stochastic volatility

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  • A. Dragulescu
  • V. M. Yakovenko
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    Bibliographic Info

    Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2002 with number 127.

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    Date of creation: 01 Jul 2002
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    Handle: RePEc:sce:scecf2:127

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    Keywords: stock market; stochastic variables; differential equations;

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    Cited by:
    1. P. Friz & S. Gerhold & A. Gulisashvili & S. Sturm, 2010. "On refined volatility smile expansion in the Heston model," Papers 1001.3003, arXiv.org, revised Nov 2010.
    2. A. Gulisashvili & E. M. Stein, 2009. "Asymptotic Behavior of the Stock Price Distribution Density and Implied Volatility in Stochastic Volatility Models," Papers 0906.0392, arXiv.org.
    3. del Baño Rollin, Sebastian & Ferreiro-Castilla, Albert & Utzet, Frederic, 2010. "On the density of log-spot in the Heston volatility model," Stochastic Processes and their Applications, Elsevier, vol. 120(10), pages 2037-2063, September.
    4. Agnieszka Janek & Tino Kluge & Rafal Weron & Uwe Wystup, 2010. "FX Smile in the Heston Model," HSC Research Reports HSC/10/02, Hugo Steinhaus Center, Wroclaw University of Technology.
    5. Giacomo Bormetti & Valentina Cazzola & Danilo Delpini, 2009. "Option pricing under Ornstein-Uhlenbeck stochastic volatility: a linear model," Papers 0905.1882, arXiv.org, revised May 2010.
    6. Andrew Papanicolaou, 2014. "Stochastic Analysis Seminar on Filtering Theory," Papers 1406.1936, arXiv.org.
    7. Zaevski, Tsvetelin S. & Kim, Young Shin & Fabozzi, Frank J., 2014. "Option pricing under stochastic volatility and tempered stable Lévy jumps," International Review of Financial Analysis, Elsevier, vol. 31(C), pages 101-108.
    8. Benoit Pochard & Jean-Philippe Bouchaud, 2003. "Option pricing and hedging with minimum expected shortfall," Science & Finance (CFM) working paper archive 500029, Science & Finance, Capital Fund Management.
    9. Anca Gheorghiu & Ion Spanulescu, 2009. "Macrostate Parameter, an Econophysics Approach for the Risk Analysis of the Stock Exchange Market Transactions," Papers 0907.5600, arXiv.org.
    10. Chiang, Thomas C. & Yu, Hai-Chin & Wu, Ming-Chya, 2009. "Statistical properties, dynamic conditional correlation and scaling analysis: Evidence from Dow Jones and Nasdaq high-frequency data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1555-1570.
    11. Bernardo Spagnolo & Davide Valenti, 2008. "Volatility Effects on the Escape Time in Financial Market Models," Papers 0810.1625, arXiv.org.
    12. Andreas Behr & Ulrich Pötter, 2009. "Alternatives to the normal model of stock returns: Gaussian mixture, generalised logF and generalised hyperbolic models," Annals of Finance, Springer, vol. 5(1), pages 49-68, January.
    13. Ballestra, Luca Vincenzo & Pacelli, Graziella & Zirilli, Francesco, 2007. "A numerical method to price exotic path-dependent options on an underlying described by the Heston stochastic volatility model," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3420-3437, November.
    14. Lisa Borland & Jean-Philippe Bouchaud, 2005. "On a multi-timescale statistical feedback model for volatility fluctuations," Science & Finance (CFM) working paper archive 500059, Science & Finance, Capital Fund Management.
    15. Oguzhan Cepni & Ahmet Goncu & Mehmet Oguz Karahan & Tolga Umut Kuzubas, 2013. "Goodness-of-fit of the Heston, Variance-Gamma and Normal-Inverse Gaussian Models," Working Papers 2013/16, Bogazici University, Department of Economics.
    16. Nakamura, Tomomichi & Small, Michael, 2007. "Tests of the random walk hypothesis for financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 599-615.
    17. A. Monteiro & R. Tütüncü & L. Vicente, 2011. "Estimation of risk-neutral density surfaces," Computational Management Science, Springer, vol. 8(4), pages 387-414, November.
    18. López Martín, María del Mar & García, Catalina García & García Pérez, José, 2012. "Treatment of kurtosis in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2032-2045.
    19. Buchbinder, G.L. & Chistilin, K.M., 2007. "Multiple time scales and the empirical models for stochastic volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 168-178.
    20. Anca Gheorghiu & Ion Spanulescu, 2012. "An Econophysics Model for the Migration Phenomena," Papers 1202.0996, arXiv.org.

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