Accuracy of numerical solutions using the Euler equation residuals

Authors
Citation
Ms. Santos, Accuracy of numerical solutions using the Euler equation residuals, ECONOMETRIC, 68(6), 2000, pp. 1377-1402
Citations number
17
Categorie Soggetti
Economics
Journal title
ECONOMETRICA
ISSN journal
00129682 → ACNP
Volume
68
Issue
6
Year of publication
2000
Pages
1377 - 1402
Database
ISI
SICI code
0012-9682(200011)68:6<1377:AONSUT>2.0.ZU;2-Q
Abstract
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.