Numerical integration-based Gaussian mixture filters for maximum likelihood estimation of asymmetric stochastic volatility models
Abstract
I consider Gaussian filters based on numerical integration for maximum likelihood estimation of stochastic volatility models with leverage. I show that for this class of models, the prediction step of the Gaussian filter can be evaluated analytically without linearizing the state--space model. Monte Carlo simulations show that the mixture Gaussian filter performs remarkably well in terms of both accuracy and computation time compared to the quasi-maximum likelihood and importance sampler filters. The result that the prediction step of the Gaussian filter can be evaluated analytically is shown to apply more generally to a number of commonly used specifications of the stochastic volatility model. Copyright Royal Economic Society 2007Download Info
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Bibliographic Info
Article provided by Royal Economic Society in its journal Econometrics Journal.
Volume (Year): 10 (2007)
Issue (Month): 2 (07)
Pages: 342-358
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Tore Selland Kleppe & Hans J. Skaug & Jun Yu, 2009.
"Simulated Maximum Likelihood Estimation of Continuous Time Stochastic Volatility Models,"
Working Papers
CoFie-09-2009, Sim Kee Boon Institute for Financial Economics.
- Tore Selland KLEPPE & Jun YU & Hans J. SKAUG, 2009. "Stimulated Maximum Likelihood Estimation of Continuous Time Stochastic Volatility Models," Working Papers 20-2009, Singapore Management University, School of Economics.
- Isao Ishida & Michael McAleer & Kosuke Oya, 2011.
"Estimating the Leverage Parameter of Continuous-time Stochastic Volatility Models Using High Frequency S&P 500 and VIX,"
KIER Working Papers
759, Kyoto University, Institute of Economic Research.
- Isao Ishida & Michael McAleer & Kosuke Oya, 2011. "Estimating the Leverage Parameter of Continuous-time Stochastic Volatility Models Using High Frequency S&P 500 and VIX," Documentos del Instituto Complutense de Análisis Económico 2011-17, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
- Isao Ishida & Michael McAleer & Kosuke Oya, 2011. "Estimating the Leverage Parameter of Continuous-time Stochastic Volatility Models Using High Frequency S&P 500 and VIX," Working Papers in Economics 11/11, University of Canterbury, Department of Economics and Finance.
- Almut Veraart, 2011.
"How precise is the finite sample approximation of the asymptotic distribution of realised variation measures in the presence of jumps?,"
AStA Advances in Statistical Analysis,
Springer, vol. 95(3), pages 253-291, September.
- Almut E. D. Veraart, 2010. "How precise is the finite sample approximation of the asymptotic distribution of realised variation measures in the presence of jumps?," CREATES Research Papers 2010-65, School of Economics and Management, University of Aarhus.
- Tore Selland Kleppe & Jun Yu & Hans J. skaug, 2011.
"Simulated Maximum Likelihood Estimation for Latent Diffusion Models,"
Working Papers
10-2011, Singapore Management University, School of Economics.
- Tore Selland Kleppe & Jun Yu & Hans J. Skaug, 2012. "Simulated Maximum Likelihood Estimation for Latent Diffusion Models," Working Papers 12-2012, Singapore Management University, School of Economics.
- Cai, Lili & Swanson, Norman R., 2011.
"In- and out-of-sample specification analysis of spot rate models: Further evidence for the period 1982-2008,"
Journal of Empirical Finance,
Elsevier, vol. 18(4), pages 743-764, September.
- Norman R. Swanson & Lili Cai, 2011. "In- and Out-of-Sample Specification Analysis of Spot Rate Models: Further Evidence for the Period 1982-2008," Departmental Working Papers 201102, Rutgers University, Department of Economics.
- Carles Bretó & Helena Veiga, 2011. "Forecasting volatility: does continuous time do better than discrete time?," Statistics and Econometrics Working Papers ws112518, Universidad Carlos III, Departamento de Estadística y Econometría.
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