Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. Many mathematical tools are needed to solve these models. The book presents various methods for computing the dynamics of general equilibrium models. In part I, the representative-agent stochastic...

Turnovsky (1995) derives in a continuous-time model of a decentralized economy that the correct specification of the firm's objective function is to maximize the initial value of its outstanding securities. The firm value is the discounted flow of real earnings. For the discrete-time version of...

In most monetary models of economic growth, higher long-run inflation is associated with a decline in the growth rate and employment. We show that this result is sensitive with respect to the specification of the cash-in-advance constraint. We consider three types of endogenous growth models:...

We describe an algorithm that is able to compute the solution of a singular linear difference system under rational expectations. The algorithm uses the Generalized Schur Factorization and is illustrated by a simple example

De Paoli, Scott, and Weeken (2010, Asset pricing implications of a New Keynesian model. Journal of Economic Dynamics and Control 34, 2056-73) study equity and bonds prices in a New Keynesian model with sticky nominal prices. This note argues that their model generates a behavior of the labor...

Turnovsky (1995) derives in a continuous-time model of a decentralized economy that the correct specification of the firm's objective function is to maximize the initial value of its outstanding securities. The firm value is the discounted flow of real earnings. For the discrete-time version of...

We describe an algorithm that is able to compute the solution of a singular linear difference system under rational expectations. The algorithm uses the Generalized Schur Factorization and is illustrated by a simple example. -- stochastic dynamic general equilibrium ; linear solution methods ;...

We review the labor market implications of recent real-business-cycle models that successfully replicate the empirical equity premium. We document the fact that all models considered in this survey with the exception of Boldrin, Christiano, and Fisher (2001) imply a negative correlation of...