One period iid shock

Perfect foresight simulations
1

Hi, I just have a quick question: would period 1 iid shock (w/o persistent) in perfect foresight simulation is equivalent to stochastic counterpart? Also, would that be considered as a MIT shock? Lastly, if the model has an occasionally binding constraint, would it still be equivalent?

Thank you in advance!

2

If it’s in the first period, the answer is yes for MIT. Otherwise no, because it would be anticipated.
It will generally not be equivalent to a full stochastic model if certainty equivalence does not hold (in most nonlinear models).

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