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Is stochastic volatility more flexible than garch?

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  • Carnero, María Ángeles
  • Peña, Daniel
  • Ruiz, Esther

Abstract

This paper compares the ability of GARCH and ARSV models to represent adequately the main empirical properties usually observed in high frequency financial time series: high kurtosis, small first order autocorrelation of squared observations and slow decay towards zero of the autocorrelation coefficients of squared observations. We show that the ARSV(1) model is more flexible than the GARCH(1,1) model in the sense that it is able to generate series with higher kurtosis and smaller first order autocorrelation of squares for a wider variety of parameter specifications. Our results may help to clarify some puzzles raised in the empirical analysis of real financial time series.

Suggested Citation

  • Carnero, María Ángeles & Peña, Daniel & Ruiz, Esther, 2001. "Is stochastic volatility more flexible than garch?," DES - Working Papers. Statistics and Econometrics. WS ws010805, Universidad Carlos III de Madrid. Departamento de Estadística.
  • Handle: RePEc:cte:wsrepe:ws010805
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    References listed on IDEAS

    as
    1. 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.
    2. repec:bla:restud:v:65:y:1998:i:3:p:361-93 is not listed on IDEAS
    3. Geoffrey F. Loudon & Wing H. Watt & Pradeep K. Yadav, 2000. "An empirical analysis of alternative parametric ARCH models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(2), pages 117-136.
    4. Philippe Jorion, 1988. "On Jump Processes in the Foreign Exchange and Stock Markets," Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 427-445.
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    Cited by:

    1. Michel Beine & Charles S. Bos & Sébastien Laurent, 2007. "The Impact of Central Bank FX Interventions on Currency Components," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 5(1), pages 154-183.
    2. Carmen Broto & Esther Ruiz, 2004. "Estimation methods for stochastic volatility models: a survey," Journal of Economic Surveys, Wiley Blackwell, vol. 18(5), pages 613-649, December.
    3. Rodríguez, Julio & Ruiz, Esther, 2003. "A powerful test for conditional heteroscedasticity for financial time series with highly persistent volatilities," DES - Working Papers. Statistics and Econometrics. WS ws036716, Universidad Carlos III de Madrid. Departamento de Estadística.
    4. Pérez, Ana & Ruiz, Esther, 2001. "Properties of the sample autocorrelations in autoregressive stochastic volatllity models," DES - Working Papers. Statistics and Econometrics. WS ws011208, Universidad Carlos III de Madrid. Departamento de Estadística.
    5. Carnero, María Ángeles & Peña, Daniel & Ruiz, Esther, 2001. "Outliers and conditional autoregressive heteroscedasticity in time series," DES - Working Papers. Statistics and Econometrics. WS ws010704, Universidad Carlos III de Madrid. Departamento de Estadística.

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