ARCH modelling of Australian bilateral exchange rate data

A comprehensive examination is undertaken of Australian exchange rate data utilizing the ARCH family of models. Various econometric tests are performed in an attempt to identify the presence of ARCH effects in 21 daily Australian bilateral exchange rate series. Where appropriate, a number of ARCH models have been fitted and the results presented. Several issues are also addressed. The presence of asymmetry in the ARCH effects is tested, although little evidence is found of any such asymmetry, as well as criteria for selecting an optimal ARCH model from among those fitted. The ARCH effects present in less frequently sampled data are thought to diminish and this is tested for using a number of indicators. Finally, the impact is tested of modelling higher-order autocorrelation for the fitted ARCH models.

[1]  R. Baillie,et al.  The Message in Daily Exchange Rates , 1989 .

[2]  Robert J. Hodrick.  The Empirical Evidence on the Efficiency of Forward and Futures Foreign Exchange Markets , 1987 .

[3]  Daniel B. Nelson.  ARCH models as diffusion approximations , 1990 .

[4]  R. Chou,et al.  ARCH modeling in finance: A review of the theory and empirical evidence , 1992 .

[5]  John H. H. Lee.  A Lagrange Multiplier Test for Garch Models , 1991 .

[6]  Russell P. Robins,et al.  Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model , 1987 .

[7]  I. Morgan,et al.  Measurement of Abnormal Returns From Small Firms , 1987 .

[8]  Adrian Pagan,et al.  Alternative Models for Conditional Stock Volatility , 1989 .

[9]  A. Pagan,et al.  Australian Stock Market Volatility: 1875–1987* , 1993 .

[10]  Daniel B. Nelson.  Stationarity and Persistence in the GARCH(1,1) Model , 1990, Econometric Theory.

[11]  R. Engle.  Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[12]  Maxwell L. King,et al.  A Locally Most Mean Powerful Based Score Test for ARCH and GARCH Regression Disturbances , 1993 .

[13]  L. Glosten,et al.  On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks , 1993 .

[14]  David A. Hsieh,et al.  The statistical properties of daily foreign exchange rates: 1974–1983 , 1988 .

[15]  R. Brooks,et al.  The stability of ARCH models across Australian financial futures markets , 1997 .

[16]  R. Chou.  Volatility persistence and stock valuations: Some empirical evidence using garch , 1988 .

[17]  A. McDonald,et al.  UNIVARIATE GARCH-M ESTIMATES OF VARIABLE RISK PREMIA FOR 180-DAY AUSTRALIAN BANK BILLS , 1993 .