Inaccurate approximation in the modelling of hyperinflations
In time series macroeconometric models, the first difference in the logarithm of a variable is routinely used to represent the rate of change of that variable. It is often overlooked that the assumed approximation is accurate only if the rates of change are small. Models of hyper-inflation are a case in point, since in these models, by definition, changes in price are large. In this letter, Cagan's model is applied to Hungarian hyper-inflation data. It is then demonstrated that use of the approximation in the formation of the price inflation variable is causing an upward bias in the model's key parameter, and therefore an exaggeration of the effect postulated by Cagan.
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- Salemi, Michael K., 1979. "Adaptive expectations, rational expectations, and money demand in hyperinflation Germany," Journal of Monetary Economics, Elsevier, vol. 5(4), pages 593-604, October.
- Taylor, Mark P, 1991.
"The Hyperinflation Model of Money Demand Revisited,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 23(3), pages 327-351, August.
- Taylor, Mark P, 1990. "The Hyperinflation Model of Money Demand Revisited," CEPR Discussion Papers 473, C.E.P.R. Discussion Papers.
- Sargent, Thomas J & Wallace, Neil, 1973. "Rational Expectations and the Dynamics of Hyperinflation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 328-350, June.
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