Abstract
This paper derives a fifth-order perturbation solution to DSGE models. The paper develops a new notation that reduces the notational complexity of high-order solutions and yields a faster code. The new notation consists of new matrix forms of high-order multivariate chain rules and a new representation of the model as a function of one vector variable. The algorithm that implements the new notation is between 3 and 55 times faster than Dynare++, depending on model size and solution order.
| Original language | English |
|---|---|
| Pages (from-to) | 1-16 |
| Number of pages | 16 |
| Journal | Journal of Economic Dynamics and Control |
| Volume | 80 |
| DOIs | |
| State | Published - 1 Jul 2017 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2017 Elsevier B.V.
Keywords
- DSGE
- Fifth order
- High-order multivariate chain rules
- Perturbation
- Rare disasters
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