Dynare mistake: One of the eigenvalues is close to 0/0 (the absolute value of numerator and denominator is smaller than 0.0000! If you believe that the model has a unique solution you can try to reduce the value of qz_zero_threshold

Stochastic simulations
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I can only give you the generic advice: try to simplify the model to see where the error comes from. Pay particular attention to timing errors.