Mainly for
economists
Ever since I started
blogging I have written posts on macroeconomic methodology. One
objective was to try and convince fellow macroeconomists that
Structural Econometric Models (SEMs), with their ad hoc blend of
theory and data fitting, were not some old fashioned dinosaur, but a
perfectly viable way to do macroeconomics and macroeconomic policy. I
wrote this with the experience of having built and published papers
with both SEMs and DSGE models.
Olivier Blanchard’s
third post
on DSGE models does exactly the same thing. The only slight confusion
is that he calls them ‘policy models’, but when he writes
“Models in this class should fit the main characteristics of the
data, including dynamics, and allow for policy analysis and
counterfactuals.”
he can only mean SEMs. [1] I prefer SEMs to policy models because
SEMs describe what is in the tin: structural because they utilise
lots of theory, but econometric because they try and match the data.
In a tweet, Noah Smith says he is puzzled. “What
else is the point of DSGEs??” besides advising policy he asks? This
post tries to help him and others see how the two classes of model
can work together.
The way I would estimate a SEM today (but not necessarily the only
valid way) would be to start with an elaborate DSGE model. But rather
than estimate this model using Bayesian methods, I would use it as a
theoretical template with which to start econometric work, either on
an equation by equation basis or as a set of sub-systems. Where lag
structures or cross equation restrictions were clearly rejected by
the data, I would change the model to more closely match the data. If
some variables had strong power in explaining others but
were not in the DSGE specification, but I could think of reasons for
a causal relationship (i.e. why the DSGE specification was
inadequate), I would include them in the model. That would become the
SEM. [2]
If that sounds terribly ad hoc to you, that is right. SEMs
are an eclectic mix of theory and data. But SEMs will still be useful
to academics and policymakers who want to work with a model that is
reasonably close to the data. What those I call DSGE purists have to
admit is that because DSGE models do not match the data in many
respects, they are misspecified and therefore any policy advice from
them is invalid. The fact that you can be sure they satisfy the Lucas
critique is not
sufficient compensation for this misspecification.
By setting the relationship between a DSGE and a SEM in the way I
have, it makes it clear why both types of model will continue to be
used, and how SEMs can take their theoretical lead from DSGE models.
SEMs are also useful for DSGE model development because their
departures from DSGEs provide a whole list of potential puzzles for
DSGE theorists to investigate. Maybe one day DSGE will get so good at
matching the data that we no longer need SEMs, but we are a long way
from that.
Will what Blanchard and I call for happen? It already does to a large
extent at the Fed: as Blanchard says what is effectively their main
model is a SEM. The Bank of England uses a DSGE model, and the MPC
would get more useful
advice from its staff if this was replaced by a SEM. The real problem
is with academics, and in particular (as Blanchard again identified
in an earlier post) journal editors. Of course most academics will go
on using DSGE, and I have no problem with that. But the few who do
instead decide to use a SEM should not be automatically shut out from
the pages of the top journals. They would be at present, and I’m
not confident - even with Blanchard’s intervention - that this is
going to change anytime soon.
[1] What Ray Fair, longtime builder
and user of his own SEM, calls Cowles Commission models.
[2] Something like this could have happened when the Bank of England
built BEQM,
a model I was consultant on. Instead the Bank chose a core/periphery
structure which was interesting, but ultimately too complex even for
the economists at the Bank.
