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2016 | OriginalPaper | Buchkapitel

Intraday Data vs Daily Data to Forecast Volatility in Financial Markets

verfasst von : António A. F. Santos

Erschienen in: Time Series Analysis and Forecasting

Verlag: Springer International Publishing

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Abstract

The measurement of the volatility is key in financial markets. It is well established in the literature that the evolution of the volatility can be forecasted. Recently, measures of volatility have been developed using intraday data, for example, the realized volatility. Here the forecasts of volatility are defined through the stochastic volatility model. After estimating the parameters through Bayesian estimation methods using Markov chain Monte Carlo, forecasts are obtained using particle filter methods. With intraday data additional information can help understanding better the evolution of the financial volatility. The aim is to build a more clear picture of the evolution of the volatility in financial markets through the comparison of volatility measures using daily observations and intraday data.

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Literatur
1.
Zurück zum Zitat Engle, R.F.: Autoregressive conditional heteroscedasticity with estimates of the variance of united kingdom inflation. Econometrica: J. Econometric Soc. 987–1007 (1982) Engle, R.F.: Autoregressive conditional heteroscedasticity with estimates of the variance of united kingdom inflation. Econometrica: J. Econometric Soc. 987–1007 (1982)
3.
Zurück zum Zitat Taylor, S.J.: Modelling Financial Time Series. Wiley, Chichester (1986)MATH Taylor, S.J.: Modelling Financial Time Series. Wiley, Chichester (1986)MATH
4.
Zurück zum Zitat Andersen, T.G., Bollerslev, T.: Intraday periodicity and volatility persistence in financial markets. J. Empirical Finance 4(2), 115–158 (1997)CrossRef Andersen, T.G., Bollerslev, T.: Intraday periodicity and volatility persistence in financial markets. J. Empirical Finance 4(2), 115–158 (1997)CrossRef
5.
Zurück zum Zitat Andersen, T.G., Bollerslev, T., Diebold, F.X., Ebens, H.: The distribution of realized stock return volatility. J. Financ. Econ. 61(1), 43–76 (2001)CrossRef Andersen, T.G., Bollerslev, T., Diebold, F.X., Ebens, H.: The distribution of realized stock return volatility. J. Financ. Econ. 61(1), 43–76 (2001)CrossRef
6.
Zurück zum Zitat Andersen, T.G., Bollerslev, T., Diebold, F.X., Labys, P.: Modeling and forecasting realized volatility. Econometrica 71(2), 579–625 (2003)MathSciNetCrossRefMATH Andersen, T.G., Bollerslev, T., Diebold, F.X., Labys, P.: Modeling and forecasting realized volatility. Econometrica 71(2), 579–625 (2003)MathSciNetCrossRefMATH
7.
Zurück zum Zitat Andersen, T.G., Bollerslev, T., Lange, S.: Forecasting financial market volatility: sample frequency vis-a-vis forecast horizon. J. Empirical Finance 6(5), 457–477 (1999)CrossRef Andersen, T.G., Bollerslev, T., Lange, S.: Forecasting financial market volatility: sample frequency vis-a-vis forecast horizon. J. Empirical Finance 6(5), 457–477 (1999)CrossRef
8.
Zurück zum Zitat Andersen, T.G., Bollerslev, T., Meddahi, N.: Correcting the errors: volatility forecast evaluation using high-frequency data and realized volatilities. Econometrica 73(1), 279–296 (2005)MathSciNetCrossRefMATH Andersen, T.G., Bollerslev, T., Meddahi, N.: Correcting the errors: volatility forecast evaluation using high-frequency data and realized volatilities. Econometrica 73(1), 279–296 (2005)MathSciNetCrossRefMATH
9.
Zurück zum Zitat Hansen, P.R., Lunde, A.: Realized variance and market microstructure noise. J. Bus. Econ. Stat. 24(2), 127–161 (2006)MathSciNetCrossRef Hansen, P.R., Lunde, A.: Realized variance and market microstructure noise. J. Bus. Econ. Stat. 24(2), 127–161 (2006)MathSciNetCrossRef
10.
Zurück zum Zitat Koopman, S.J., Scharth, M.: The analysis of stochastic volatility in the presence of daily realized measures. J. Financ. Econometrics 11(1), 76–115 (2012)CrossRef Koopman, S.J., Scharth, M.: The analysis of stochastic volatility in the presence of daily realized measures. J. Financ. Econometrics 11(1), 76–115 (2012)CrossRef
11.
Zurück zum Zitat Takahashi, M., Omori, Y., Watanabe, T.: Estimating stochastic volatility models using daily returns and realized volatility simultaneously. Comput. Stat. Data Anal. 53(6), 2404–2426 (2009)MathSciNetCrossRefMATH Takahashi, M., Omori, Y., Watanabe, T.: Estimating stochastic volatility models using daily returns and realized volatility simultaneously. Comput. Stat. Data Anal. 53(6), 2404–2426 (2009)MathSciNetCrossRefMATH
12.
Zurück zum Zitat Barndorff-Nielsen, O.E., Shephard, N.: Econometric analysis of realized volatility and its use in estimating stochastic volatility models. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 64(2), 253–280 (2002) Barndorff-Nielsen, O.E., Shephard, N.: Econometric analysis of realized volatility and its use in estimating stochastic volatility models. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 64(2), 253–280 (2002)
13.
Zurück zum Zitat Barndorff-Nielsen, O.E., Shephard, N.: Econometric analysis of realized covariation: high frequency based covariance, regression, and correlation in financial economics. Econometrica 72(3), 885–925 (2004)MathSciNetCrossRefMATH Barndorff-Nielsen, O.E., Shephard, N.: Econometric analysis of realized covariation: high frequency based covariance, regression, and correlation in financial economics. Econometrica 72(3), 885–925 (2004)MathSciNetCrossRefMATH
14.
Zurück zum Zitat Zhang, L., Mykland, P.A., Aït-Sahalia, Y.: A tale of two time scales. J. Am. Stat. Assoc. 100(472) (2005) Zhang, L., Mykland, P.A., Aït-Sahalia, Y.: A tale of two time scales. J. Am. Stat. Assoc. 100(472) (2005)
15.
Zurück zum Zitat Jacquier, E., Polson, N.G., Rossi, P.E.: Bayesian analysis of stochastic volatility models. J. Bus. Econ. Stat. 12(4), 371–89 (1994)MathSciNetMATH Jacquier, E., Polson, N.G., Rossi, P.E.: Bayesian analysis of stochastic volatility models. J. Bus. Econ. Stat. 12(4), 371–89 (1994)MathSciNetMATH
16.
17.
Zurück zum Zitat Kim, S., Shephard, N., Chib, S.: Stochastic volatility: likelihood inference and comparison with arch models. Rev. Econ. Stud. 65(3), 361–393 (1998)CrossRefMATH Kim, S., Shephard, N., Chib, S.: Stochastic volatility: likelihood inference and comparison with arch models. Rev. Econ. Stud. 65(3), 361–393 (1998)CrossRefMATH
18.
Zurück zum Zitat Chib, S., Nardari, F., Shephard, N.: Markov Chain Monte Carlo methods for stochastic volatility models. J. Econometrics 108(2), 281–316 (2002)MathSciNetCrossRefMATH Chib, S., Nardari, F., Shephard, N.: Markov Chain Monte Carlo methods for stochastic volatility models. J. Econometrics 108(2), 281–316 (2002)MathSciNetCrossRefMATH
19.
Zurück zum Zitat Chib, S., Nardari, F., Shephard, N.: Analysis of high dimensional multivariate stochastic volatility models. J. Econometrics 134(2), 341–371 (2006)MathSciNetCrossRefMATH Chib, S., Nardari, F., Shephard, N.: Analysis of high dimensional multivariate stochastic volatility models. J. Econometrics 134(2), 341–371 (2006)MathSciNetCrossRefMATH
20.
Zurück zum Zitat Omori, Y., Chib, S., Shephard, N., Nakajima, J.: Stochastic volatility with leverage: fast and efficient likelihood inference. J. Econometrics 140(2), 425–449 (2007)MathSciNetCrossRefMATH Omori, Y., Chib, S., Shephard, N., Nakajima, J.: Stochastic volatility with leverage: fast and efficient likelihood inference. J. Econometrics 140(2), 425–449 (2007)MathSciNetCrossRefMATH
21.
Zurück zum Zitat Andrieu, C., Doucet, A., Holenstein, R.: Particle Markov Chain Monte Carlo methods. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 72(3), 269–342 (2010) Andrieu, C., Doucet, A., Holenstein, R.: Particle Markov Chain Monte Carlo methods. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 72(3), 269–342 (2010)
22.
Zurück zum Zitat Carpenter, J., Clifford, P., Fearnhead, P.: Improved particle filter for nonlinear problems. IEE Proc. Radar Sonar Navig. 146(1), 2–7 (1999)CrossRef Carpenter, J., Clifford, P., Fearnhead, P.: Improved particle filter for nonlinear problems. IEE Proc. Radar Sonar Navig. 146(1), 2–7 (1999)CrossRef
23.
Zurück zum Zitat Del Moral, P., Doucet, A., Jasra, A.: Sequential monte carlo samplers. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 68(3), 411–436 (2006) Del Moral, P., Doucet, A., Jasra, A.: Sequential monte carlo samplers. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 68(3), 411–436 (2006)
24.
Zurück zum Zitat Doucet, A., Godsill, S., Andrieu, C.: On sequential Monte Carlo sampling methods for Bayesian filtering. Stat. Comput. 10(3), 197–208 (2000)CrossRef Doucet, A., Godsill, S., Andrieu, C.: On sequential Monte Carlo sampling methods for Bayesian filtering. Stat. Comput. 10(3), 197–208 (2000)CrossRef
25.
Zurück zum Zitat Fearnhead, P., Wyncoll, D., Tawn, J.: A sequential smoothing algorithm with linear computational cost. Biometrika 97(2), 447–464 (2010)MathSciNetCrossRefMATH Fearnhead, P., Wyncoll, D., Tawn, J.: A sequential smoothing algorithm with linear computational cost. Biometrika 97(2), 447–464 (2010)MathSciNetCrossRefMATH
26.
Zurück zum Zitat Godsill, S., Clapp, T.: Improvement strategies for Monte Carlo particle filters. In: Sequential Monte Carlo Methods in Practice, pp. 139–158. Springer, Berlin (2001) Godsill, S., Clapp, T.: Improvement strategies for Monte Carlo particle filters. In: Sequential Monte Carlo Methods in Practice, pp. 139–158. Springer, Berlin (2001)
27.
Zurück zum Zitat Pitt, M.K., Shephard, N.: Filtering via simulation: auxiliary particle filters. J. Am. Stat. Assoc. 94(446), 590–599 (1999)MathSciNetCrossRefMATH Pitt, M.K., Shephard, N.: Filtering via simulation: auxiliary particle filters. J. Am. Stat. Assoc. 94(446), 590–599 (1999)MathSciNetCrossRefMATH
28.
Zurück zum Zitat Pitt, M.K., Shephard, N.: Auxiliary variable based particle filters. In: Sequential Monte Carlo Methods in Practice, pp. 273–293. Springer, Berlin (2001) Pitt, M.K., Shephard, N.: Auxiliary variable based particle filters. In: Sequential Monte Carlo Methods in Practice, pp. 273–293. Springer, Berlin (2001)
29.
Zurück zum Zitat Smith, J., Santos, A.A.F.: Second-order filter distribution approximations for financial time series with extreme outliers. J. Bus. Econ. Stat. 24(3), 329–337 (2006)MathSciNetCrossRef Smith, J., Santos, A.A.F.: Second-order filter distribution approximations for financial time series with extreme outliers. J. Bus. Econ. Stat. 24(3), 329–337 (2006)MathSciNetCrossRef
30.
Zurück zum Zitat Gordon, N.J., Salmond, D.J., Smith, A.F.: Novel approach to nonlinear/non-gaussian Bayesian state estimation. In: IEE Proceedings F (Radar and Signal Processing), IET, vol. 140, pp. 107–113. (1993) Gordon, N.J., Salmond, D.J., Smith, A.F.: Novel approach to nonlinear/non-gaussian Bayesian state estimation. In: IEE Proceedings F (Radar and Signal Processing), IET, vol. 140, pp. 107–113. (1993)
Metadaten
Titel
Intraday Data vs Daily Data to Forecast Volatility in Financial Markets
verfasst von
António A. F. Santos
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-28725-6_12