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In this paper we outline the Lagrangian constrained optimization method to solve complex problems subject to constraints. Firstly we summarize the Lagrangian constrained optimization routine. Secondly we outline a detailed implementation strategy. Thirdly and finally we provide example and solve...
Persistent link: https://www.econbiz.de/10013213151
I study optimal monetary policy in a simple New Keynesian model with portfolio adjustment costs. Purchases of long-term debt by the central bank (quantitative easing; ‘QE') alter the average portfolio return and hence influence aggregate demand and inflation. The central bank chooses the...
Persistent link: https://www.econbiz.de/10012946995
This paper proposes a solution method to solve linear difference models with lagged expectations. Variables with lagged expectations expand the model's state space greatly when N is large; and getting the system into a canonical form solvable by the traditional methods involves substantial manual...
Persistent link: https://www.econbiz.de/10012734732
This paper incorporates risk-based margin requirements into portfolio liquidation procedures in a novel fashion. The approach is analytic and, as a result, more efficient than conventional numerical liquidation methods. The margin requirement calculation is a self-contained inner optimization...
Persistent link: https://www.econbiz.de/10009746034
Persistent link: https://www.econbiz.de/10011757871
This paper presents a dynamic factor model in which the extracted factors and shocks are given a clear economic interpretation. The economic interpretation of the factors is obtained by means of a set of over-identifying loading restrictions, while the structural shocks are estimated following...
Persistent link: https://www.econbiz.de/10013154051
This paper presents a dynamic factor model in which the extracted factors and shocks are given a clear economic interpretation. The economic interpretation of the factors is obtained by means of a set of over-identifying loading restrictions, while the structural shocks are estimated following...
Persistent link: https://www.econbiz.de/10013155955
This article presents an algorithm that extends Ljungqvist and Sargent's (2012) dynamic Stackelberg game to the case of dynamic stochastic general equilibrium models including forcing variables. Its first step is the solution of the discounted augmented linear quadratic regulator as in Hansen...
Persistent link: https://www.econbiz.de/10012901171
This algorithm extends Ljungqvist and Sargent (2012) algorithm of Stackelberg dynamic game to the case of dynamic stochastic general equilibrium models including exogenous forcing variables. It is based Anderson, Hansen, McGrattan, Sargent (1996) discounted augmented linear quadratic regulator....
Persistent link: https://www.econbiz.de/10011724201
We examine the linear-quadratic (LQ) approximation of non-linear stochastic dynamic optimization problems in macroeconomics, in particular for monetary policy. We make four main contributions: first, we draw attention to a general Hamiltonian framework for LQ approximation due to Magill (1977)....
Persistent link: https://www.econbiz.de/10013317055