This paper is concerned with asymptotic properties on the accuracy of numer
ical solutions. It is shown that the approximation error of the policy func
tion is of the same order of magnitude as the size of the Euler equation re
siduals. Moreover, for bounding this approximation error the most relevant
parameters are the discount factor and the curvature of the return function
. These findings provide theoretical foundations for the construction of te
sts to assess the performance of alternative computational methods.