Is there a difference between two setup?

Hi, I am wondering if there exist any potential difference between the following two setups:

Setup A:

Y = \exp(X + 0.01\epsilon) where \epsilon \in N(0,1)

Setup B:

Y = \exp(X + \epsilon) where \epsilon \in N(0,0.0001)

Theoretically they should be the same. But I wonder if the approximation inside dynare would generate different results, given that the size of the shock might affect the perturbation method.

Any insights on this? Thanks!

They should be perfectly equivalent.