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NONLINEARITIES AND GARCH INADEQUACY FOR MODELING STOCK MARKET RETURNS: EMPIRICAL EVIDENCE FROM LATIN AMERICA

Published online by Cambridge University Press:  04 October 2010

Claudio A. Bonilla ,
Rafael Romero-Meza  and
Carlos Maquieira
Claudio A. Bonilla*
Affiliation:
University of Chile
Rafael Romero-Meza
Affiliation:
Universidad Adolfo Ibáñez
Carlos Maquieira
Affiliation:
Universidad Santo Tomás
*
Address correspondence to: Claudio A. Bonilla, Faculty of Economics and Business, University of Chile, Diagonal Paraguay 257, Santiago, Chile; e-mail: cbonilla@fen.uchile.cl.
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Abstract

In this paper, we analyze the adequacy of using GARCH as the data-generating process to model conditional volatility of stock market index rates-of-return series. Using the Hinich portmanteau bicorrelation test, we find that a GARCH formulation or any of its variants fail to provide an adequate characterization for the underlying process of the main Latin American stock market indices. Policymakers need to be careful when using autoregressive models for policy analysis and forecast because the inadequacy of GARCH models has strong implications for the pricing of stock index options, portfolio selection, and risk management. In particular, measures of spillover effects and output volatility may not be correct when GARCH-type models are used to evaluate economic policy.

Keywords

GARCH ModelsHinich Portmanteau Bicorrelation TestLatin American Stock Markets
Type
Articles
Information
Macroeconomic Dynamics , Volume 15 , Issue 5 , November 2011 , pp. 713 - 724
Copyright
Copyright © Cambridge University Press 2010

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References

REFERENCES

Basel Committee on Bank Supervision (2001) The New Basel Capital Accord. Bank for International Settlements.Google Scholar
Black, Fisher and Scholes, Myron (1973) The pricing of options and corporate liabilities. Journal of Political Economy 81 (3), 637–654.CrossRefGoogle Scholar
Bollerslev, T. (1986) Generalised autoregressive conditional heteroskedasticity. Journal of Econometrics 31, 307–327.CrossRefGoogle Scholar
Bollerslev, T., Chou, R., and Kroner, K. (1992) ARCH modelling in finance: A review of the theory and empirical evidence. Journal of Econometrics 52 (5), 5–59.CrossRefGoogle Scholar
Bonilla, C., Romero-Meza, R., and Hinich, M.J. (2006) Episodic nonlinearities in the Latin American stock market indices. Applied Economics Letters 13, 195–199.CrossRefGoogle Scholar
Bonilla, C., Romero-Meza, R., and Hinich, M.J. (2007) GARCH inadequacy for modeling exchange rates: Empirical evidence from Latin America, Applied Economics 39, 2529–2533.CrossRefGoogle Scholar
Brissimis, S. and Chionis, D. (2004) Foreign exchange market intervention: Implications of publicly announced and secret intervention for the euro exchange rate and its volatility. Journal of Policy Modeling 26 (6, September), 661–673.CrossRefGoogle Scholar
Brooks, C. and Hinich, M. (1998) Episodic nonstationarity in exchange rates. Applied Economics Letters 5, 719–722.CrossRefGoogle Scholar
Brooks, C., Hinich, M.J., and Molyneux, R. (2000) Episodic nonlinear event detection: Political epochs in exchange rates. In Richards, D. (ed.), Political Complexity: Political Epochs in Exchange Rates, pp. 83–98. Ann Arbor: Michigan University Press.Google Scholar
Engle, R.F. (1982) Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation. Econometrica 50, 987–1007.CrossRefGoogle Scholar
Engle, R.F., Hendry, D.F., and Trumble, D. (1985) Small sample properties of ARCH estimators and tests. Canadian Journal of Economics 18, 66–93.CrossRefGoogle Scholar
Fernandez, V. (2005) Time-scale decomposition of price transmission in international markets. Emerging Markets Finance and Trade 41 (4), 57–90.CrossRefGoogle Scholar
Fernández-Serrano, J. and Sosvilla-Rivero, S. (2003) Modelling the linkages between US and Latin American stock markets. Applied Economics 35 (12), 1423–1435.CrossRefGoogle Scholar
Franses, P.H. and van Dijk, D. (2002) Non-linear Time Series Models in Empirical Finance. Cambridge, UK: Cambridge University Press.Google Scholar
Fujii, E. (2005) Intra and inter-regional causal linkages of emerging stock markets: Evidence from Asia and Latin America in and out of crises. Journal of International Financial Markets, Institutions and Money 15 (4), 315–342.CrossRefGoogle Scholar
Granger, C. and Anderson, A. (1978) An Introduction to Bilinear Time Series Models. Göttingen: Vandenhoeck and Ruprecht.Google Scholar
Hall, S.G., Miles, D., and Taylor, M. (1989) Modelling asset prices with time-varying betas. Manchester School 57 (4), 340–356.CrossRefGoogle Scholar
Hassapis, C. and Kalyvitis, S. (2002) On the propagation of the fluctuations of stock returns on growth: Is the global effect important? Journal of Policy Modeling 24 (5, August), 487–503.CrossRefGoogle Scholar
Hinich, M. (1996) Testing for dependence in the input to a linear time series model. Journal of Nonparametric Statistics 6, 205–221.CrossRefGoogle Scholar
Hinich, M.J. and Patterson, D. (2005) Detecting epochs of transient dependence in white noise. In Belongia, M. and Binner, J. (eds.), Money, Measurement and Computation. London: Palgrave.Google Scholar
Hsieh, D. (1989) Testing for nonlinearity in daily foreign exchange rate changes. Journal of Business 62, 339–368.CrossRefGoogle Scholar
Liew, V., Chong, T., and Lim, K. (2003) The inadequacy of linear autoregressive models for real exchange rates: Empirical evidence from Asian economies. Applied Economics 35, 1387–1392.CrossRefGoogle Scholar
Lim, K.P., Hinich, M.J. and Liew, V. (2004) Adequacy of GARCH models for ASEAN exchange rates return series. International Journal of Business and Society 5 (2), 17–32.Google Scholar
Lim, K.P., Hinich, M.J. and Liew, V. (2005) Statistical inadequacy of GARCH models for Asian stock markets: Evidence and implications. International Journal of Emerging Market Finance 4, 263–279.CrossRefGoogle Scholar
Ma, Y. and Kanas, A. (2000) Testing for nonlinear Granger causality from fundamentals to exchange rates in the ERM. Journal of International Financial Markets, Institution and Money 10, 69–82.CrossRefGoogle Scholar
Mina, Jorge and Yi Xiao, Jerry (2001) Return to RiskMetrics: The Evolution of a Standard. RiskMetrics Group, Inc. (www.riskmetrics.com).Google Scholar
Ortiz, E. and Arjona, E. (2001) Heterokedastic behavior of the Latin American emerging stock markets. International Review of Financial Analysis 10 (3, September), 287–306.CrossRefGoogle Scholar
Panagiotidis, T. and Pelloni, G. (2003) Testing for non-linearity in labour markets: The case of Germany and the UK. Journal of Policy Modeling 25, 275–286.CrossRefGoogle Scholar
Romero-Meza, R., Bonilla, C., and Hinich, M.J. (2007) Nonlinear event detection in the Chilean stock market. Applied Economics Letters 14, 987–991.CrossRefGoogle Scholar
Sarantis, N. (1999) Modeling non-linearities in real effective exchange rates. Journal of International Money and Finance 18, 27–45.CrossRefGoogle Scholar
Sarno, L. (2000) Real exchange rate behaviour in high inflation countries: Empirical evidence from Turkey, 1980–1997. Applied Economics Letters 7, 285–291.CrossRefGoogle Scholar
Starica, C. (2004) Is GARCH(1,1) as Good a Model as the Nobel Prize Accolades Would Imply? Economics Working Paper Archive EconWPA.CrossRefGoogle Scholar
SubbaRao, T. Rao, T. and Gabr, M.M. (1980) An Introduction to Bispectral Analysis and Bilinear Time Series Models. Berlin: Springer-Verlag.Google Scholar
Superintendencia de Valores y Seguros [SVS] (2002) Norma de Carácter General 148. Superintendencia de Valores y Seguros (http://www.svs.cl/sitio/html/legisl_normativa/f_legis.html).Google Scholar
Superintendencia de Valores y Seguros [SVS] (2004) Norma de Carácter General 178. Superintendencia de Valores y Seguros (http://www.svs.cl/sitio/html/legisl_normativa/f_legis.html).Google Scholar
Verma, R. 2005. Are emerging equity markets responsive to cross-country macroeconomic movements? Evidence from Latin America. Journal of International Financial Markets, Institutions and Money 15(1, January), 73–87.CrossRefGoogle Scholar