Second Order Approximation of Dynamic Models with Time-Varying Risk

Pierpaolo Benigno, Gianluca Benigno and Salvatore Nisticò

No 8177, CEPR Discussion Papers from C.E.P.R. Discussion Papers

Abstract: This paper provides first and second-order approximation methods for the solution of non-linear 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 time-varying 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.

Keywords: Second order approximation; stochastic volatility; Uncertainty (search for similar items in EconPapers)
JEL-codes: C63 (search for similar items in EconPapers)
Date: 2011-01
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://cepr.org/publications/DP8177 (application/pdf)
CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org

Related works:
Journal Article: Second-order approximation of dynamic models with time-varying risk (2013)
Working Paper: Second-order approximation of dynamic models with time-varying risk (2011)
Working Paper: Second-Order Approximation of Dynamic Models with Time-Varying Risk (2011)
Working Paper: Second-Order Approximation of Dynamic Models with Time-Varying Risk (2010)
Working Paper: Second-order approximation of dynamic models with time-varying risk (2010)
Working Paper: Second-Order Approximation of Dynamic Models with Time-Varying Risk (2010)
Working Paper: Second-Order Approximation of Dynamic Models with Time-Varying Risk (2010)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cpr:ceprdp:8177

Ordering information: This working paper can be ordered from
https://cepr.org/publications/DP8177

Access Statistics for this paper

More papers in CEPR Discussion Papers from C.E.P.R. Discussion Papers Centre for Economic Policy Research, 33 Great Sutton Street, London EC1V 0DX.
Bibliographic data for series maintained by ().