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Chaos
Theory
Exchange rates
The `news paradigm' that has dominated recent thinking about the
foreign exchange market requires that `news' occur whenever the exchange
rate changes, so market observers now search for news to explain
otherwise `inexplicable' movements. In Discussion Paper No. 466 Research
Fellow Paul de Grauwe and Hans Dewachter use a monetary
model of the exchange rate that incorporates speculative behaviour.
`Chartists' and `fundamentalists' interact; the weight of each class of
speculators changes depending on market circumstances. `Chartists'
simply extrapolate recent exchange rate changes using moving averages,
while `fundamentalists' base their expectations on calculations of
purchasing power parity.
De Grauwe and Dewachter find that applying these simple rules may
produce very complex and essentially unpredictable behaviour or `chaos'
even though the underlying model is deterministic. News of the money
stock usually has strong effects, but sometimes not, and turbulence in
the exchange market often occurs when there is no news. The interaction
of speculators using different pieces of information can generate
complex and not wholly explicable dynamics, so that `news' remains
important, but need not be invoked to explain every observed movement of
the exchange rate. De Grauwe and Dewachter's model therefore provides a
synthesis view of the `news' model that has dominated academic thinking
and the popular view that exchange rates are driven by speculative
dynamics.
Their model also implies that the initial conditions are important,
particularly for evaluating the effects of monetary disturbances.
Moreover, the theory explains why out-of-sample forecasts of exchange
rates using structural econometric models are typically poor. Very small
measurement errors in the estimation of the underlying model can
seriously change its exchange rate dynamics, making it quite unsuitable
for predictive purposes. Their model takes no account of rational
expectations, since agents have no incentive to invest time and effort
in seeking knowledge of the underlying structural model. To be useful
for predictive purposes, such knowledge would need a degree of precision
that is not currently attainable in the social sciences. Agents
therefore do not use sophisticated structural models for predictive
purposes. Instead, they use simpler `rules of thumb' to compute the
fundamental rate.
A Chaotic Monetary Model of the Exchange Rate
Paul De Grauwe and Hans Dewachter
Discussion Paper No. 466, October 1990 (IM)
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