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Volatility Estimation and Option Pricing with Fractional Brownian Motion

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  • Fajardo, J.
  • Cajueiro, D. O.

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  • Fajardo, J. & Cajueiro, D. O., 2003. "Volatility Estimation and Option Pricing with Fractional Brownian Motion," Finance Lab Working Papers flwp_53, Finance Lab, Insper Instituto de Ensino e Pesquisa.
    • Handle: RePEc:ibm:finlab:flwp_53
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    References listed on IDEAS

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    1. Cipian Necula, 2008. "Option Pricing in a Fractional Brownian Motion Environment," Advances in Economic and Financial Research - DOFIN Working Paper Series 2, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB.
    2. Issler, João Victor, 1999. "Estimating and forecasting the volatility of Brazilian finance series using arch models (Preliminary Version)," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 347, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    3. Pereira, Pedro L. Valls & Hotta, Luiz K. & Souza, Luiz Alvares R. de & Almeida, Nuno Miguel C. G. de, 1999. "Alternative Models To Extract Asset Volatility: A Comparative Study," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 19(1), May.
    4. Fajardo, J. & Farias, A., 2003. "Generalized Hyperbolic Distributions and Brazilian Data," Finance Lab Working Papers flwp_57, Finance Lab, Insper Instituto de Ensino e Pesquisa.
    5. M. F. M. Osborne, 1959. "Brownian Motion in the Stock Market," Operations Research, INFORMS, vol. 7(2), pages 145-173, April.
    6. Pedro L. Valls Pereira & Hotta, L.K. & Souza, L.A.R., 1999. "Alternative Models to extract asset volatility: a comparative study," Finance Lab Working Papers flwp_14, Finance Lab, Insper Instituto de Ensino e Pesquisa.
    7. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    8. Issler, João Victor, 1999. "Estimating and Forecasting the Volatility of Brazilian Finance Series Using ARCH Models," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 19(1), May.
    9. Mendes, Beatriz Vaz de Melo & Júnior, Antonio Marcos Duarte, 1999. "Robust Estimation for ARCH Models," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 19(1), May.
    10. Barbachan, José Fajardo & Schuschny, Andrés Ricardo & Silva, André de Castro, 2001. "Lévy processes and the Brazilian market," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 21(2), November.
    11. Migon, Helio S. & Mazucheli, Josmar, 1999. "Modelos GARCH Bayesianos: Métodos Aproximados e Aplicações," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 19(1), May.
    12. Andrade, R.F.S & Cajueiro, D.O & Ferreira, C.S, 2001. "Fractal characterization of the distribution of reactive sites over a rough catalyst surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 323-332.
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    Cited by:

    1. Li Meng & Mei Wang, 2010. "Comparison of Black–Scholes Formula with Fractional Black–Scholes Formula in the Foreign Exchange Option Market with Changing Volatility," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 17(2), pages 99-111, June.
    2. Potgieter, Petrus H., 2009. "Fractal asset returns, arbitrage and option pricing," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1792-1795.

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