Truncated normal distribution for shocks

[Noodle614]

I am trying to model large non-negative shocks. (potentially highly skewed)

If I were to employ a log-normal process for this purpose, it would entail an extremely large standard deviation of the underlying normal distribution, leading to a highly skewed distribution. This would raise concerns about the accuracy of the model solution?

A related post is here

Difficulty in Solving a Model with Large Shocks: Seeking Advice

I don’t understand the problem. Why does your shock standard deviation affect the steady state at all?

Thanks!