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Multivariate Simultaneous Generalized ARCH

  • Robert F. Engle (a1) and Kenneth F. Kroner (a2)
Abstract

This paper presents theoretical results on the formulation and estimation of multivariate generalized ARCH models within simultaneous equations systems. A new parameterization of the multivariate ARCH process is proposed, and equivalence relations are discussed for the various ARCH parameterizations. Constraints sufficient to guarantee the positive definiteness of the conditional covariance matrices are developed, and necessary and sufficient conditions for covariance stationarity are presented. Identification and maximum likelihood estimation of the parameters in the simultaneous equations context are also covered.

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T. Bollerslev (1986) Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics 31, 307–328.

T. Bollerslev , R.Y. Chou & K.F. Kroner (1992) ARCH modeling in finance: A review of the theory and empirical evidence. Journal of Econometrics 52, 5–59.

T. Bollerslev , R.F. Engle & J.M. Wooldridge (1988) A capital asset pricing model with time varying covariances. Journal of Political Economy 96, 116–131.

T. Bollerslev & J.M. Wooldridge (1992) Quasi maximum likelihood estimation and inference in dynamic models with time varying covariances. Econometric Reviews 11, 143–172.

P.J. Dhrymes (1984) Mathematics for Econometrics, 2nd ed.New York: Springer-Verlag.

C. Engel & A.P. Rodrigues (1989) Tests of international CAPM with time varying covariances. Journal of Applied Econometrics 4, 119–128.

R.F. Engle (1982) Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation. Econometrica 50, 987–1007.

R.F. Engle , C.W.J. Granger & D.F. Kraft (1984) Combining competing forecasts of inflation using a bivariate ARCH model. Journal of Economic Dynamics and Control 8, 151–165.

R.F. Engle , D.F. Hendry & J.-F. Richard (1983) Exogeneity. Econometrica 51, 277–304.

M. Friedman (1977) Nobel lecture: Inflation and unemployment. Journal of Political Economy 85, 451–472.

G.L. Kaminsky & R. Peruga (1990) Can a time varying risk premium explain excess returns in the forward market for foreign exchange? Journal of International Economics 28, 47–70.

K.F. Kroner & S. Claessens (1991) Optimal dynamic hedging portfolios and the currency composition of external debt. Journal of International Money and Finance 10, 131–148.

K.F. Kroner & W.D. Lastrapes (1993) The impact of exchange rate volatility on international trade: Estimates using the GARCH-M model. Journal of International Money and Finance 12, 298–318.

K.F. Kroner & J. Sultan (1993) Time-varying distributions and dynamic hedging with foreign currency futures. Journal of Financial and Quantitative Analysis 28, 535–551.

T.H. McCurdy & I.G. Morgan (1988) Testing the martingale hypothesis in Deutschmark futures with models specifying the form of heteroskedasticity. Journal of Applied Econometrics 3, 187–202.

T.H. McCurdy & I.G. Morgan (1991) Tests for systematic risk components in deviations from uncovered interest rate parity. Review of Economic Studies 58, 587–602.

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Econometric Theory
  • ISSN: 0266-4666
  • EISSN: 1469-4360
  • URL: /core/journals/econometric-theory
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