This paper introduces a quasi maximum likelihood (QML) approach based on the central difference Kalman filter to estimate non-linear DSGE models with potentially non-Gaussian shocks. We argue that this estimator can be expected to be consistent and asymptotically normal for DSGE models solved up...

This paper develops a DSGE model which explains variation in the nominal and real term structure along with inflation surveys and four macro variables in the UK economy. The model is estimated based on a third-order approximation to allow for time-varying term premia. We find a fall in nominal...

This paper argues that a specification of stochastic volatility commonly used to analyze the Great Moderation in DSGE models may not be appropriate, because the level of a process with this specification does not have conditional or unconditional moments. This is unfortunate because agents may...

This paper develops a DSGE model which explains variation in the nominal and real term structure along with inflation surveys and four macro variables in the UK economy. The model is estimated based on a third-order approximation to allow for time-varying term premia. We find a fall in nominal...

The presence of i) stochastic trends, ii) deterministic trends, and/or iii) stochastic volatility in DSGE models may imply that the agents' objective functions attain infinite values. We say that such models do not have a valid micro foundation. The paper derives sufficient conditions which...

This paper shows how non-linear DSGE models with potential non-normal shocks can be estimated by Quasi-Maximum Likelihood based on the Central Difference Kalman Filter (CDKF). The advantage of this estimator is that evaluating the quasi log-likelihood function only takes a fraction of a second....

This paper shows how non-linear DSGE models with potential non-normal shocks can be estimated by Quasi-Maximum Likelihood based on the Central Difference Kalman Filter (CDKF). The advantage of this estimator is that evaluating the quasi log-likelihood function only takes a fraction of a second....

This paper considers a New Keynesian DSGE model with Epstein-Zin-Weil preferences combined with real and nominal long-run risk. The model is solved up to third order and estimated on US data using the 10-year nominal yield curve, two interest rate surveys, and four macro variables. Our model...

It is well-established that the presence of deterministic and/or stochastic trends in DSGE models may imply that the agents' objective functions attain infinite values. This is the case even if the subjective discount factor is strictly less than one. Currently, sufficient conditions ensuring...

This paper improves the accuracy and speed of particle filtering for non-linear DSGE models with potentially non-normal shocks. This is done by introducing a new proposal distribution which i) incorporates information from new observables and ii) has a small optimization step that minimizes the...