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Second-Order Approximation of Dynamic Models with Time-Varying Risk

Gianluca Benigno, Pierpaolo Benigno and Salvatore Nisticò

FMG Discussion Papers from Financial Markets Group

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 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 alsotime varying.

Date: 2011-03
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Working Paper: Second Order Approximation of Dynamic Models with Time-Varying Risk (2011) Downloads
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Working Paper: Second-order approximation of dynamic models with time-varying risk (2010) Downloads
Working Paper: Second-Order Approximation of Dynamic Models with Time-Varying Risk (2010) Downloads
Working Paper: Second-Order Approximation of Dynamic Models with Time-Varying Risk (2010) Downloads
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