Author: Tom Holden
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
Book Description
We present an algorithm for estimating non-linear dynamic models, including those featuring occasionally binding constraints. The algorithm extends the Cubature Kalman Filter of Arasaratnam and Haykin (2009) with dynamic state space reduction, to give adequate speed in the presence of occasionally binding constraints, and to ensure that it can handle the large state spaces generated by pruned perturbation solutions to medium-scale DSGE models. We further extend the base algorithm to allow for alternative cubature procedures to improve the tracking of non-linearities. The algorithm relies on the solution method for models with occasionally binding constraints of Holden (2016b). We illustrate that the method can solve some of the identification problems that plague linearized DSGE models.
Estimation of Dynamic Models with Occasionally Binding Constraints
Author: Tom Holden
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
Book Description
We present an algorithm for estimating non-linear dynamic models, including those featuring occasionally binding constraints. The algorithm extends the Cubature Kalman Filter of Arasaratnam and Haykin (2009) with dynamic state space reduction, to give adequate speed in the presence of occasionally binding constraints, and to ensure that it can handle the large state spaces generated by pruned perturbation solutions to medium-scale DSGE models. We further extend the base algorithm to allow for alternative cubature procedures to improve the tracking of non-linearities. The algorithm relies on the solution method for models with occasionally binding constraints of Holden (2016b). We illustrate that the method can solve some of the identification problems that plague linearized DSGE models.
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
Book Description
We present an algorithm for estimating non-linear dynamic models, including those featuring occasionally binding constraints. The algorithm extends the Cubature Kalman Filter of Arasaratnam and Haykin (2009) with dynamic state space reduction, to give adequate speed in the presence of occasionally binding constraints, and to ensure that it can handle the large state spaces generated by pruned perturbation solutions to medium-scale DSGE models. We further extend the base algorithm to allow for alternative cubature procedures to improve the tracking of non-linearities. The algorithm relies on the solution method for models with occasionally binding constraints of Holden (2016b). We illustrate that the method can solve some of the identification problems that plague linearized DSGE models.
Computation of Solutions to Dynamic Models with Occasionally Binding Constraints
Author: Tom D. Holden
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Existence and Uniqueness of Solutions to Dynamic Models with Occasionally Binding Constraints
Author: Tom D. Holden
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
We present the first necessary and sufficient conditions for there to be a unique perfect-foresight solution to an otherwise linear dynamic model with occasionally binding constraints, given a fixed terminal condition. We derive further results on the existence of a solution in the presence of such terminal conditions. These results give determinacy conditions for models with occasionally binding constraints, much as Blanchard and Kahn (1980) did for linear models. In an application, we show that widely used New Keynesian models with endogenous states possess multiple perfect foresight equilibrium paths when there is a zero lower bound on nominal interest rates, even when agents believe that the central bank will eventually attain its long-run, positive inflation target. This illustrates that a credible long-run inflation target does not render the Taylor principle sufficient for determinacy in the presence of the zero lower bound. However, we show that price level targeting does restore determinacy providing agents believe that inflation will eventually be positive.
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
We present the first necessary and sufficient conditions for there to be a unique perfect-foresight solution to an otherwise linear dynamic model with occasionally binding constraints, given a fixed terminal condition. We derive further results on the existence of a solution in the presence of such terminal conditions. These results give determinacy conditions for models with occasionally binding constraints, much as Blanchard and Kahn (1980) did for linear models. In an application, we show that widely used New Keynesian models with endogenous states possess multiple perfect foresight equilibrium paths when there is a zero lower bound on nominal interest rates, even when agents believe that the central bank will eventually attain its long-run, positive inflation target. This illustrates that a credible long-run inflation target does not render the Taylor principle sufficient for determinacy in the presence of the zero lower bound. However, we show that price level targeting does restore determinacy providing agents believe that inflation will eventually be positive.
Existence, Uniqueness and Computation of Solutions to Dynamic Models with Occasionally Binding Constraints
Author: Tom D. Holden
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Estimation of Dynamic Models with Error Components
Author: Theodore Wilbur Anderson
Publisher:
ISBN:
Category : Econometrics
Languages : en
Pages : 52
Book Description
Publisher:
ISBN:
Category : Econometrics
Languages : en
Pages : 52
Book Description
Algorithms for Solving Dynamic Models with Occasionally Binding Constraints
Author: Lawrence J. Christiano
Publisher:
ISBN:
Category : Economics, Mathematical
Languages : en
Pages : 78
Book Description
We describe and compare several algorithms for approximating the solution to a model in" which inequality constraints occasionally bind. Their performance is evaluated and compared" using various parameterizations of the one sector growth model with irreversible investment. We" develop parameterized expectation algorithms which, on the basis of speed convenience of implementation, appear to dominate the other algorithms."
Publisher:
ISBN:
Category : Economics, Mathematical
Languages : en
Pages : 78
Book Description
We describe and compare several algorithms for approximating the solution to a model in" which inequality constraints occasionally bind. Their performance is evaluated and compared" using various parameterizations of the one sector growth model with irreversible investment. We" develop parameterized expectation algorithms which, on the basis of speed convenience of implementation, appear to dominate the other algorithms."
Dynamic Models in Biology
Author: Stephen P. Ellner
Publisher: Princeton University Press
ISBN: 1400840961
Category : Science
Languages : en
Pages : 352
Book Description
From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.
Publisher: Princeton University Press
ISBN: 1400840961
Category : Science
Languages : en
Pages : 352
Book Description
From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.
Identifying Binding Constraints to Growth
Author: Mr.Mauricio Vargas
Publisher: International Monetary Fund
ISBN: 1498365051
Category : Business & Economics
Languages : en
Pages : 48
Book Description
As emphasized by Hausmann, Rodrik and Velasco, the policy challenge of boosting growth requires prioritization and identifying what are the most binding constraints. This paper draws on firm-level data from the World Bank Enterprise Survey, which suggests that the obstacles for the functioning of firms is related to firm size. Recognizing the potential endogeneity and simultaneity between firms' constraints and firm size, we implement an Ordered-Probit model with a potential categorical endogenous regressor to estimate, for the case of Bolivia, the conditional probability of facing obstacles given the firm size category, while controlling for other factors. The results confirm the importance of allowing for the roles of firm size in identifying constraints and suggest priorities for policies to remove constraints to economic performance.
Publisher: International Monetary Fund
ISBN: 1498365051
Category : Business & Economics
Languages : en
Pages : 48
Book Description
As emphasized by Hausmann, Rodrik and Velasco, the policy challenge of boosting growth requires prioritization and identifying what are the most binding constraints. This paper draws on firm-level data from the World Bank Enterprise Survey, which suggests that the obstacles for the functioning of firms is related to firm size. Recognizing the potential endogeneity and simultaneity between firms' constraints and firm size, we implement an Ordered-Probit model with a potential categorical endogenous regressor to estimate, for the case of Bolivia, the conditional probability of facing obstacles given the firm size category, while controlling for other factors. The results confirm the importance of allowing for the roles of firm size in identifying constraints and suggest priorities for policies to remove constraints to economic performance.
Optimal Estimation of Dynamic Systems
Author: John L. Crassidis
Publisher: CRC Press
ISBN: 0203509129
Category : Mathematics
Languages : en
Pages : 606
Book Description
Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals receiv
Publisher: CRC Press
ISBN: 0203509129
Category : Mathematics
Languages : en
Pages : 606
Book Description
Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals receiv
Estimation and Control Problems in Dynamic Models
Author: V.K. Chetty
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description