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Comparing accuracy of second order approximation and dynamic programming

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005545
URN to cite this document: urn:nbn:de:bvb:703-epub-5545-3

Title data

Becker, Stephanie ; Grüne, Lars ; Semmler, Willi:
Comparing accuracy of second order approximation and dynamic programming.
Bayreuth , 2007

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Abstract

The accuracy of the solution of dynamic general equilibrium models has become a major issue. Recent papers, substituting second order for first order approximations, have shown to obtain significant differences in accuracy. Second order approximations have had some considerable success in solving for the decision variable of small as well as large scale models. Yet, the issue of accuracy is also relevant for the approximate solution of the value function. In numerous dynamic decision problems welfare needs to be computed through the approximation of the value function. Kim and Kim (2003), for example, find a reversal of welfare ordering by moving from first to second order approximations. Studies of the impact of monetary and fiscal policy on welfare have also to deal with the accuracy of the value function. Employing the base line stochastic growth model this paper compares the accuracy of the second order approximation and dynamic programming solution for both the decision variable as well as the value functions. We find that in a neighborhood of the equilibrium the second order approximation method peforms satisfactory while on larger regions dynamic programming performs better with respect to both.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: Computational Economics. Bd. 30 (März 2007) Heft 1 . - S. 65-91; https://doi.org/10.1007/s10614-007-9087-1
Keywords: Dynamic general equilibrium model; Approximation methods; Second-order approximation; Dynamic programming
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5545-3
Date Deposited: 19 May 2021 06:19
Last Modified: 15 Jun 2021 08:15
URI: https://epub.uni-bayreuth.de/id/eprint/5545

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