Benigno, Gianluca, Benigno, Pierpaolo and Nisticò, Salvatore (2010) Second-order approximation of dynamic models with time-varying risk. CEP Discussion Papers (CEPDP1033). London School of Economics and Political Science. Centre for Economic Performance, London, UK.
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Abstract
This paper provides first and second-order approximation methods for the solution of nonlinear dynamic stochastic models in which the exogenous state variables follow conditionally-linear stochastic processes displaying time-varying risk. The first-order approximation is consistent with a conditionally-linear model in which risk is still timevarying but has no distinct role - separated from the primitive stochastic disturbances - in influencing the endogenous variables. The second-order approximation of the solution, instead, is sufficient to get this role. Moreover, risk premia, evaluated using only a first-order approximation of the solution, will be also time varying.
Item Type: | Monograph (Discussion Paper) |
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Official URL: | https://cep.lse.ac.uk/_new/publications/discussion... |
Additional Information: | © 2010 The Author(s) |
Divisions: | Economics |
Subjects: | H Social Sciences > HC Economic History and Conditions |
JEL classification: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods and Programming > C63 - Computational Techniques |
Date Deposited: | 29 Feb 2024 15:27 |
Last Modified: | 11 Dec 2024 19:52 |
URI: | http://eprints.lse.ac.uk/id/eprint/121707 |
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