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Alternative Models to extract asset volatility: a comparative study

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  • Pedro L. Valls Pereira
  • Hotta, L.K.
  • Souza, L.A.R.

Abstract

This paper presents an empirical comparison of the estimation of the volatility of three Brazilian financial series: a Brazilian Brady bond (the Cbond), a stock (Telebrás PN) and the Brazilian Real/US Dollar exchange rate, using different modelling methods. The models used are: XARCH family, Stochastic Volatility (SV) and the switching in the variance model (SWARCH). The comparison is done using three criteria: loss functions, which compare the square of the estimated volatility with the instantaneous volatility, a procedure proposed by Herencia et alii (1998) which used prediction confidence intervals and one-stepahead prediction, and a prediction exercise for the last 100 observations. In general the SV model presented the best performance although it is dominated by other models in some criteria.
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Suggested Citation

  • 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.
  • Handle: RePEc:ibm:finlab:flwp_14
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    1. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    2. Jacquier, Eric & Polson, Nicholas G & Rossi, Peter E, 2002. "Bayesian Analysis of Stochastic Volatility Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 69-87, January.
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    4. Sangjoon Kim & Neil Shephard & Siddhartha Chib, 1998. "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models," Review of Economic Studies, Oxford University Press, vol. 65(3), pages 361-393.
    5. repec:bla:restud:v:65:y:1998:i:3:p:361-93 is not listed on IDEAS
    6. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    7. Foster, Dean P & Nelson, Daniel B, 1996. "Continuous Record Asymptotics for Rolling Sample Variance Estimators," Econometrica, Econometric Society, vol. 64(1), pages 139-174, January.
    8. Dueker, Michael J, 1997. "Markov Switching in GARCH Processes and Mean-Reverting Stock-Market Volatility," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 26-34, January.
    9. Nelson, Daniel B & Foster, Dean P, 1994. "Asymptotic Filtering Theory for Univariate ARCH Models," Econometrica, Econometric Society, vol. 62(1), pages 1-41, January.
    10. Weiss, Andrew A., 1986. "Asymptotic Theory for ARCH Models: Estimation and Testing," Econometric Theory, Cambridge University Press, vol. 2(01), pages 107-131, April.
    11. Hamilton, James D. & Susmel, Raul, 1994. "Autoregressive conditional heteroskedasticity and changes in regime," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 307-333.
    12. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    Cited by:

    1. repec:sbe:breart:v:28:y:2008:i:2:a:1511 is not listed on IDEAS
    2. Maurício Yoshinori Une & Marcelo Savino Portugal, 2005. "Fear of disruption: a model of Markov-switching regimes for the Brazilian country risk conditional volatility," Econometrics 0509005, University Library of Munich, Germany.
    3. Oliveira, André Barbosa & Pereira, Pedro L. Valls, 2018. "Uncertainty times for portfolio selection at financial market," Textos para discussão 473, FGV/EESP - Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
    4. Marçal, Emerson Fernandes & Pereira, Pedro L. Valls, 2008. "Testing the Hypothesis of Contagion Using Multivariate Volatility Models," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 28(2), November.
    5. repec:sbe:breart:v:24:y:2004:i:2:a:2712 is not listed on IDEAS
    6. Fajardo, José & Farias, Aquiles, 2004. "Generalized Hyperbolic Distributions and Brazilian Data," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 24(2), November.
    7. Marçal, Emerson F. & Valls Pereira, Pedro L., 2008. "Testando A Hipótese De Contágio A Partir De Modelos Multivariados De Volatilidade
      [Testing the contagion hypotheses using multivariate volatility models]
      ," MPRA Paper 10356, University Library of Munich, Germany.
    8. Douglas Gomes dos Santos & Flávio Augusto Ziegelmann, 2008. "Estimação de volatilidade em períodos de crise: Modelos aditivos semi-paramétricos versus modelos versus modelo Garch," Anais do XXXVI Encontro Nacional de Economia [Proceedings of the 36th Brazilian Economics Meeting] 200807201932370, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    9. 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.
    10. repec:sbe:breart:v:21:y:2001:i:2:a:2752 is not listed on IDEAS

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