Stochastic Extended Path

Stéphane Adjemian and Michel Juillard

No 84, Dynare Working Papers from CEPREMAP

Abstract: The Extended Path (EP) method solves DSGE models under certainty equivalence, capturing nonlinearities and occasionally binding constraints but ignoring the role of uncertainty. We propose the Stochastic Extended Path (SEP), which restores this channel by computing conditional expectations with quadrature and unscented transforms. To avoid the exponential explosion of a full tree of future shocks, we introduce a sparse tree representation that scales linearly with the horizon. We further develop a hybrid SEP, combining SEP with perturbation corrections to capture long-run effects of volatility at low cost. Accuracy is benchmarked in an asset pricing model with a closed-form solution, where hybrid SEP outperforms perturbation methods. We then illustrate the approach in an RBC model with a lower bound on investment.

Pages: 32 pages
Date: 2025-03, Revised 2025-09
New Economics Papers: this item is included in nep-dge
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Persistent link: https://EconPapers.repec.org/RePEc:cpm:dynare:084

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