Endogenous grids in higher dimensions: Delaunay interpolation and hybrid methods
- This paper investigates extensions of the method of endogenous gridpoints (ENDGM) introduced by Carroll (2006) to higher dimensions with more than one continuous endogenous state variable. We compare three different categories of algorithms: (i) the conventional method with exogenous grids (EXOGM), (ii) the pure method of endogenous gridpoints (ENDGM) and (iii) a hybrid method (HYBGM). ENDGM comes along with Delaunay interpolation on irregular grids. Comparison of methods is done by evaluating speed and accuracy. We find that HYBGM and ENDGM both dominate EXOGM. In an infinite horizon model, ENDGM also always dominates HYBGM. In a finite horizon model, the choice between HYBGM and ENDGM depends on the number of gridpoints in each dimension. With less than 150 gridpoints in each dimension ENDGM is faster than HYBGM, and vice versa. For a standard choice of 25 to 50 gridpoints in each dimension, ENDGM is 1.4 to 1.7 times faster than HYBGM in the finite horizon version and 2.4 to 2.5 times faster in the infinite horizon version of the model.
Author: | Alexander LudwigORCiDGND, Matthias Schön |
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URN: | urn:nbn:de:hebis:30:3-350160 |
DOI: | https://doi.org/10.2139/ssrn.2515697 |
Parent Title (English): | SAFE working paper series ; No. 72 |
Series (Serial Number): | SAFE working paper (72) |
Publisher: | SAFE |
Place of publication: | Frankfurt am Main |
Document Type: | Working Paper |
Language: | English |
Year of Completion: | 2014 |
Year of first Publication: | 2014 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2014/11/03 |
Tag: | Delaunay Interpolation; Dynamic Models; Endogenous gridpoints Method; Numerical Solution |
Issue: | October 6, 2014 |
Page Number: | 36 |
HeBIS-PPN: | 351017240 |
Institutes: | Wirtschaftswissenschaften / Wirtschaftswissenschaften |
Wissenschaftliche Zentren und koordinierte Programme / House of Finance (HoF) | |
Wissenschaftliche Zentren und koordinierte Programme / Center for Financial Studies (CFS) | |
Wissenschaftliche Zentren und koordinierte Programme / Sustainable Architecture for Finance in Europe (SAFE) | |
Dewey Decimal Classification: | 3 Sozialwissenschaften / 33 Wirtschaft / 330 Wirtschaft |
Sammlungen: | Universitätspublikationen |
Licence (German): | Deutsches Urheberrecht |