Thieu, Le Quyen (2016): Variance targeting estimation of the BEKK-X model.
Preview |
PDF
MPRA_paper_75572.pdf Download (448kB) | Preview |
Abstract
This paper studies the BEKK model with exogenous variables (BEKK-X), which intends to take into account the influence of explanatory variables on the conditional covariance of the asset returns. Strong consistency and asymptotic normality of a variance targeting estimator (VTE) is proved. Monte Carlo experiments and an application to financial series illustrate the asymptotic results.
Item Type: | MPRA Paper |
---|---|
Original Title: | Variance targeting estimation of the BEKK-X model |
English Title: | Variance targeting estimation of the BEKK-X model |
Language: | English |
Keywords: | BEKK model augmented with exogenous variables, BEKK-X model, Variance targeting estimation (VTE) |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General |
Item ID: | 75572 |
Depositing User: | Mrs Le Quyen Thieu |
Date Deposited: | 14 Dec 2016 16:35 |
Last Modified: | 27 Sep 2019 17:34 |
References: | Andrews, D.W.K. (1991) Heteroskedasticity and autocorrelation consistent covariance matrix estimation. Econometrica 59, 817-858. Bollerslev, T. (1986) Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics 31, 307-327. Bollerslev, T., R.F. Engle and J.M. Wooldridge (1988) A capital asset pricing model with time-varying covariances. The Journal of Political Economy , 116-131. Bouissou, M.B., J-J. Laffont and Q.H. Vuong (1986) Tests of noncausality under Markov assumptions for qualitative panel data. Econometrica: Journal of the Econometric Society , 395-414. Boussama, F., F. Fuchs and R. Stelzer (2011) Stationarity and geometric ergodicity of BEKK multivariate GARCH models. Stochastic Processes and their Applications 121, 2331-2360. Cakmakli, C. and D.J.C. Van Dijk (2010) Getting the most out of macroeconomic information for predicting stock returns and volatility. Christiansen, C., M. Schmeling and A. Schrimpf (2012) A comprehensive look at financial volatility prediction by economic variables. Journal of Applied Econometrics 27, 956-977. Comte, F. and O. Lieberman (2003) Asymptotic theory for multivariate GARCH processes. Journal of Multivariate Analysis 84, 61-84. Engle, R.F., Hendry, D.F. and J.F. Richard (1983) Exogeneity. Econometrica 51, 277-304. Engle, R.F. and K.F. Kroner (1995) Multivariate simultaneous generalized ARCH. Econometric theory 11, 122-150. Engle, R. (2009) Anticipating correlations: a new paradigm for risk management. Princeton University Press. Florens, J-P. and M. Mouchart (1982) A note on noncausality. Econometrica: Journal of the Econometric Society , 583-591. Francq, C. and J-M. Zakoïan (1998) Estimating linear representations of nonlinear processes. Journal of Statistical Planning and Inference 68, 145-165. Francq, C. and J-M. Zakoïan (2000) Covariance matrix estimation for estimators of mixing weak ARMA models. Journal of Statistical Planning and Inference 83, 369- 394. Francq, C., R. Roy and J-M. Zakoïan (2005) Diagnostic checking in ARMA models with uncorrelated errors. Journal of the American Statistical Association 100, 532-544. Francq, C. and J-M. Zakoïan (2010) GARCH Models: Structure, Statistical Inference and Financial Applications. John Wiley. Francq, C., L. Horvath and J-M Zakoïan (2011) Merits and drawbacks of variance targeting in GARCH models. Journal of Financial Econometrics 9, 619-656. Francq, C., L. Horváth and J-M Zakoïan (2014) Variance targeting estimation of multivariate GARCH models. Journal of Financial Econometrics , https://mpra.ub.uni-muenchen.de/57794/1/MPRA_paper_57794.pdf Francq, C. and Thieu, L.Q. (2015) Qml inference for volatility models with covariates. University Library of Munich, Germany , No. 63198. Francq, C. and G. Sucarrat (2015) Equation-by-Equation Estimation of a Multivariate Log-GARCH-X Model of Financial Returns. Hafner, C.M. and A. Preminger (2009) On asymptotic theory for multivariate GARCH models. Journal of Multivariate Analysis 100, 2044-2054. Han, H. and D. Kristensen (2014) Asymptotic Theory for the QMLE in GARCH-X Models With Stationary and Nonstationary Covariates.Journal of Business & Economic Statistics 32, 416-429. Herrndorf, N. (1984) A functional central limit theorem for weakly dependent sequences of random variables. The Annals of Probability , 141-153. Kenneth S.M.(1981) On the Inverse of the Sum of Matrices. Mathematics Magazine. http://www.jstor.org/stable/2690437 , 54, 67-72. Koopmans, T.C. and O. Reiersol (1950) The identi�cation of structural characteristics. The Annals of Mathematical Statistics 21, 165-181. Mezrich, J. and R. F. Engle (1996) GARCH for groups. Risk 9, 36-40. Newey, W.K. and K.D. West (1987) A simple, positive semi-definite, heteroskedasticity and autocorrelationconsistent covariance matrix. Econometrica 55, 703-708. Pedersen, R.S. and A. Rahbek (2014) Multivariate variance targeting in the BEKK-GARCH model. The Econometrics Journal 17, 24-55. Phillips, P.C.B, Y. Sun and S. Jin (2003) Consistent HAC estimation and robust regression testing using sharp origin kernels with no truncation. Discussion paper,Yale University . Silvennoinen, A. and T. Teräsvirta (2009) Modeling multivariate autoregressive conditional heteroskedasticity with the double smooth transition conditional correlation GARCH model. Journal of Financial Econometrics 7, 373�411. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/75572 |