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Deterministic models: replace exogenous with lead/lags by auxiliary variables
This brings those models in line with stochastic models. However note that transformation is still not exactly the same on stochastic and deterministic models, because there is no need to take into account the Jensen inequality on the latter. In deterministic models, there is a one-to-one mapping between exogenous with lead/lags and auxiliaries, while in stochastic models, an auxiliary endo may correspond to a more complex nonlinear expression.
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