Three Day Course on the New Keynesian
Model

By Lawrence J. Christiano

I plan to review the basic New Keynesian model and extensions that take into account financial frictions. The course is aimed at a broad audience, including people actively doing research with dynamic, stochastic, general equilibrium (DSGE) models, as well as people interested in seeing a review of the structure of these models and what they are used for. There will be afternoon practicum sessions. The sessions are designed to acquaint participants with Dynare as a tool for analyzing, solving and estimating DSGE models. The first part of these sessions is integrally related to the lectures (especially (1) below), as they explore the fundamental properties and policy implications of the New Keynesian model. In the second part of the afternoon sessions, we will review the fundamentals of Bayesian inference and then do Bayesian inference using Dynare.

**Three Morning Lectures**

1)
The simple New Keynesian (NK) model without
capital (longer
version of slides; background: my handbook chapter, and this
comment on Acemoglu-Akcigit-Kerr). Will
stress the impact of networks on the cost of inflation, the slope of the
Phillips curve and the value of the Taylor Principle for inflation stabilization.

a)
The Best (‘Natural’) equilibrium, Ramsey
Equilibrium.

b)
The
linearized Phillips
curve and networks.

c)
Solving
the model by linearization.

2) Introducing financial frictions into the New
Keynesian DSGE Model.

a)
Microfoundations
for the Costly State Verification (CSV) approach (longer handout; section 6
of background paper).

b)
Integrating CSV
into an NK model and the results of Bayesian estimation of the model using US
and EA data (manuscript).

i)
The model.

ii)
The importance of risk shocks.

iii) The
response of monetary policy to an increase in interest rate spreads.

iv) Background
reading: Bernanke, Gertler and
Gilchrist’s classic 1999
paper and Christiano-Motto-Rostagno.

c) Very brief discussion of extending CSV to risky banking
(discussion based on papers by Zeng
and by Hirakata, Sudo and
Ueda).

d) Extension to small open economy (manuscript
and code, slides).

e) Additional
material on financial frictions specifically in the banking sector (slides, reading).

3) Lecture on Bayesian inference.

**Two Afternoon Sessions**

In the afternoon sessions,
participants can work with Dynare programs to explore: (i)
basic economic principles implied by the New Keynesian model and (ii) methods
for the empirical analysis of DSGE models, including Bayesian inference. Part (i) will build on part 1) of the morning lectures. Part (ii)
will be preceded by the lecture on Bayesian
inference. The afternoon sessions will center on the questions in assignment 9.

Apart from giving participants hands-on experience
with the quantitative analysis of models using Dynare, question 1 in part 3 of
assignment 9 allows us to discuss the following topics using the model
developed in the first lecture:

1) The sensitivity of the dynamic response of
inflation and output to the persistence properties of shocks.

a) Making precise the NK concepts of ‘insufficient
aggregate demand’ and ‘excessive aggregate demand’ (see section 3.4 of handbook chapter).

a) The rationale for the principle in the standard
NK model (see section 3.1 of handbook chapter).

b) The Taylor rule moves the interest rate in the
right direction in response to ‘standard’ shocks, but does not move it far
enough (see section 3.4 of handbook chapter).

3) Circumstances when things can go awry with the
Taylor principle:

a) An important working capital channel may
overturn the stabilizing properties of the Taylor principle (section 3.1 of handbook chapter).

b) News shocks may imply that the monetary
authority implementing the Taylor principle moves the interest rate in the
wrong direction (see the following slides; Christiano-Ilut-Motto-Rostagno, Jackson Hole paper; and section
3.2 of handbook chapter).

We will
also use the afternoon sessions to compare first and second order perturbation
solutions. The necessary Dynare code is here.

**Assignment
#9**** **

The text for this assignment, as
well as all the necessary software, is included in this zip file. The
nonlinear equations of the NK model are contained in this zip
file, and this code can be used to compare the performance of first and higher
order perturbations on the results.