Woodford 2009
Woodford 2009
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Convergence inMacroeconomics:
Elements of the New Synthesis1
By Michael Woodford*
interesting as subjects for further research is probably as wide as it has ever been.
Nonetheless, I believe that there is less disagreement among macroeconomists about
fundamental issues than there was in the past.
For example, in the 1960s, 1970s, and 1980s, macroeconomists were divided by
controversies that related not only to judgments about the likely quantitative impor
tance of particular economic mechanisms, or to the kind of policies that different
scholars might advocate, but to basic questions of method (what kinds of models
could reasonably be employed inmacroeconomic analysis?; what kinds of empirical
work could prove anything about theworld?; and what kinds of questions could one
hope to answer).
In the 1960s and early 1970s, themain division was between the neo-Keynesians
and those in themonetarist school. This was not merely a dispute about whether the
"IS curve" or "LM curve" was more interest elastic, or whether monetary policy or
fiscal policy was more potent for purposes of aggregate demand management, as it
was sometimes portrayed in undergraduate textbooks. Instead, the two schools had
different conceptions of economics, and as a consequence, frequently argued against
one another. The Keynesians sought to estimate structural econometric models that
*
Department of Economics, Columbia University, 420 W. 118th Street, New York, NY 10027 (e-mail: michael.
woodford@columbia.edu). Prepared for the session "Convergence inMacroeconomics?" at the annual meeting
of the American Economics Association, New Orleans, January 4, 2008. I would like to thank Eduardo Engel,
Marvin Goodfriend, and Julio Rotemberg for comments on an earlier draft.
1To comment on
this article in the online discussion forum visit the articles page at http://www.aeaweb.org/
articles.php?doi= 10.1257/mac. 1.1.267.
267
They scoffed at the aspiration to "fine tune" the business cycle using quantitative
models.
In thelate 1970sand the 1980s, thetermsof debate shifted
with therise topromi
nence of the "New Classical" school and real business cycle theory. In some ways,
theNew Classicals might have seemed merely new recruits to themonetarist cause,
defending many of the same theses, albeit with more modern weapons.1 Yet, their
methodological position was quite different. Both theNew Classical authors and the
real business cycle theorists took the central task of macroeconomics to be the con
struction of structural models of short-run fluctuations, though they differed sharply
from Keynesian modelers in their conception of the requirements for a coherent
macroeconomic model, insisting on a rigorously formulated intertemporal general
equilibrium structure. The central division among macroeconomists ceased to be
about whether one should try to precisely model short-run dynamics and came,
instead, to be about whether itwas more important to insist upon theoretical coher
ence in one's models, even if thismeant doing without econometric validation (the
position of the New Classical economists and real business cycle theorists), or to
insist upon econometric testing, even if this meant using specifications little con
strained by theory (the position of the Keynesian macroeconometric modelers).
In the context of this history, I believe that there has been a considerable con
vergence of opinion among macroeconomists over the past 10 or 15 years. While
the problems of the field have not all been resolved, there are no longer such fun
damental disagreements among leading macroeconomists about what kind of ques
tions one might reasonably seek to answer, or what kinds of theoretical analyses
or empirical studies should be admitted as contributions to knowledge. To some
extent, this is because positions thatwere vigorously defended in the past have had
to be conceded in the face of further argument and experience. But, to an important
extent, it is also because progress inmacroeconomic analysis has made itpossible to
see that the alternatives between which earlier generations felt itnecessary to choose
were not so thoroughly incompatible when understood more deeply. The cessation of
frequently abstract will be different in the case of short-run and long-run issues.
But it is now accepted that one should know how to render one's growth model and
one's business-cycle model consistent with one another, in principle, on those occa
sions when tomake such connections. Similarly, microeconomic
it is necessary and
macroeconomic analysis are no longer considered to involve fundamentally differ
ent principles, so that it should be possible to reconcile one's views about household
or firm behavior, or one's view of the
functioning of individual markets, with one's
model of the aggregate economy, when one needs to do so.
In this respect, the methodological stance of the New Classical school and the
real business cycle theorists has become the mainstream. But this does not mean
that theKeynesian goal of structural modeling of short-run aggregate dynamics has
been abandoned. Instead, it is now understood how one can construct and analyze
dynamic general equilibrium models that incorporate a variety of types of adjustment
frictions that allow these models to provide fairly realistic representations of both
short-run and long-run responses to economic disturbances. In important respects,
such models remain direct descendents of theKeynesian macroeconometric models
of the early postwar period, though an important part of their DNA comes from
neoclassical growth models as well. In light of this development, the conclusion by
Robert E. Lucas, Jr.,and Thomas J. Sargent (1978, 69) that not only were
Keynesian
macroeconometric models of the time lacking in "a sound theoretical or econometric
basis" but, "there is no hope thatminor or even major modification of these models
will lead to significant improvement" must be regarded as
having been premature.
I should also be clear thatwhen I say it is now thatmacroeconomic mod
accepted
els should be general equilibrium models, I do not refer
solely to the special case of
models of perfect competitive equilibrium with flexible wages and prices. The
fully
dynamic stochastic general equilibrium (DSGE) models now used to analyze the
short-run effects of alternative policies often involve
imperfect competition in both
labor markets and product markets, wages and prices that remain fixed for intervals
of time rather than being instantaneously adjusted to reflect current market condi
tions, and an allowance for unutilized resources as a result of search and matching
frictions. The insistence ofmonetarists, New Classicals, and early real business cycle
theorists on the empirical relevance of models of perfect competitive equilibrium, a
source of much controversy in past decades, is not what is now generally accepted.
Instead, what is important is having general- equilibrium models,n the broad sense
of requiring that all equations of the model be derived from mutually consistent
foundations, and that the specified behavior of each economic unit make sense given
the environment created by the behavior of the others. At one time,Walrasian com
petitive equilibrium models were the only kind of models with these features that
were well understood, but this is no longer the case.
Second, it is also widely agreed that it is desirable to base quantitative policy anal
ysis on econometrically validated structural models. A primary goal of theoretical
analysis inmacroeconomics is to determine the data-generating process implied by
one structural model or another in order to allow consideration of the extent towhich
themodel's predictions match the properties of aggregate time series. Methods for
the econometric estimation of structural models, and for stochastic simulation of
such models under hypothetical policies, are a crucial part of the modern macro
economist's tool kit. In this respect, themacroeconometric research program of the
postwar Keynesians remains alive and well, given considerable new life by technical
advances since the 1970s.
Modern macroeconometric modeling, exemplified by the work of Lawrence J.
Christiano, Martin Eichenbaum, and Charles L. Evans (2005); David Altig et al.
(2005); and Frank Smets andRafWouters (2003, 2007), representsa returnto the
ambitions of the postwar Keynesian modelers in at least two respects. First, the
emphasis on the use of estimated structural models for policy analysis contrasts
with the preference ofmany monetarists for drawing inferences about counterfactual
as simple correlations between
policies from reduced-form empirical relations such
money growth and other variables. Second, the quest to develop models that are
intended to provide a complete quantitative description of the joint stochastic pro
cesses by which a set of aggregate variables evolve, the parameters of which can then
be estimated by direct comparison with the relevant time series, contrasts with the
on stylized models
emphasis of first-generation "equilibrium business cycle theory"
that were intended to provide insight into basic mechanisms with no pretense of
now generally agreed that useful contributions tomacro
quantitative realism. It is
economic theory should be what King (1995) calls "quantitative theory."
Nonetheless, modern empirical macroeconomics differs from classic postwar
macroeconometric modeling in deeper respects than themere introduction of new
assumed to be of that form.) Now, instead, specifications that are intended to repre
sent structural relations are derived from explicit decision problems of households
or firms.Adjustment delays are allowed for, but these are assumed to be constraints
that are taken into account by optimizing agents rather than arbitrary modifications
of the optimal decision rule.
Relatively atheoretical methods, such as the estimation of unrestricted autore
taking a more eclectic approach to the estimation ofmodel parameters and testing of
model predictions. One reason is that themodern style of structural model, with its
deeper behavioral foundations, is not merely a prediction about the statistical prop
erties of one particular type of data. Instead, it simultaneously makes claims about
many things, both individual behavior and the behavior of aggregates and short-run
dynamics and long-run averages, so thatmany different kinds of data are relevant, in
principle, tomodel parameterization and to judging themodel's empirical relevance.
As a result, many different approaches to empirical analysis provide complementary
2
V. V. Chari and Patrick J.Kehoe (2007) refer to a "big-tent approach to data analysis" that "allows us to
look for clues about the quantitative magnitudes of various mechanisms in a wide variety of sources using a wide
variety of methods."
way in which expectations should be different in the case that an alternative policy
were to be adopted. This was, of course, the point of the celebrated Lucas (1976) cri
Fourth, it is now widely accepted that real disturbances are an important source
of economic fluctuations. The hypothesis that business fluctuations can be largely
attributed to exogenous random variations inmonetary policy has few if any remain
ing adherents.
While studies such as those of Julio J. Rotemberg and Woodford (1997) or
Christiano, Eichenbaum, and Evans (2005) estimate the effects of exogenous dis
turbances tomonetary policy and assess the ability of structural models to account
for these effects. This is because of the usefulness of this particular empirical test
as a way of discriminating among alternative models and not because of any asser
tion that such disturbances are a primary source of aggregate variability. In fact,
by theirVAR)
Altig et al. (2005) conclude thatmonetarypolicy shocks (identified
account 14 percent of the variance of fluctuations in aggregate output at
for only
business cycle frequencies. Smets and Wouters (2007) find that monetary policy
shocks account for less than 10 percent of the forecast error variance decomposition
for aggregate output at any horizon.
By "real disturbances," I do not mean solely the "technology shocks" emphasized
by the real business cycle theory of the 1980s. Modern empirical DSGE models, like
that of Smets and Wouters, include a variety of types of disturbances to technology,
preferences, and government policies (including fiscal shocks), and part of the
variability in aggregate time series is attributed to each of these types of shocks.
Technology shocks of one type or another are typically among themore important
disturbances, however.3
More generally, the traditional Keynesian view of business cycles, according to
which fluctuations are caused by a variety of types of real disturbances that affect
economic activity solely through their effects on aggregate demand while aggregate
supply evolves as a smooth trend, is no more confirmed by themodern models than
is the pure monetarist view. While empirical DSGE models like that of Smets and
Wouters (2007) do allow one to speak meaningfully of short-run departures from
the "equilibrium" or "natural" level of real activity, that "natural rate of output" is
not at all a smooth trend, and the disturbances that result in temporary departures
from the natural rate typically also shift the natural rate.
At the same time, the claim that purely monetary disturbances are not themain
source of business fluctuations does not imply that monetary policy is irrelevant
in explaining such fluctuations. Empirical DSGE models with sticky wages, sticky
3
Altig et al. (2005) consider two types of technology shocks, a "neutral" shock and an investment-specific
shock, and conclude that together these account for 28 percent of the variance of aggregate output at business
cycle frequencies. In the estimated DSGE model of Smets and Wouters (2007), the corresponding two shocks
account for about half of theGDP forecast error variance at a
10-quarter horizon.
marginal cost can explain variations in the inflation rate.4 But it is now understood
that neither the theoretical plausibility nor the empirical success of such models
implies that inflation is determined by factors over which monetary policy has little
influence. Not only is a Phillips curve in itself incomplete as a model of inflation
(as it ismerely a relation among endogenous variables), but the structure of general
equilibrium models implies that household and firm behavior alone can, at most,
determine the structure of relative prices rather than the absolute level of (monetary)
prices, so that itmust be government policy that supplies the "nominal anchor" if
one is to exist.
Nor does accepting thatmonetary policy is the ultimate determinate of the general
level of prices mean that it is necessary to understand prices as being determined by
the quantity of money, and still less that inflation control requires careful monitor
ing of money supply measures. Monetary policy need not be identified with control
of the money supply. And at most of the central banks with explicit commitments
to an inflation target,monetary aggregates play little if any role in policy delibera
tions. Many empirical DSGE models, such as the Smets-Wouters model, make no
reference tomoney, though they include an equation describing monetary policy and
imply that the specification of that equation matters a great deal for the dynamics of
both nominal and real variables.5
4
For reviews of this literature, see, among others, JordiGall, Mark Gertler, and J.David Lopez-Salido (2005),
Argia M. Sbordone (2005), and Eichenbaum, and Jonas D. M. Fisher (2007).
5
See Woodford (2008) for further discussion of the role of monetary aggregates in current vintage DSGE
models formonetary policy analysis.
reliable for that purpose. Instead, they argue that scholars with intellectual integrity
have no business commenting on policy issues.
Lest there be confusion on this point, I should clarify that in asserting the exis
tence of convergence inmethodology, I do not mean to claim that all important theo
retical and empirical issues inmacroeconomics have been resolved. There is as yet
little certainty about how best to specify an empirically adequate model of aggre
gate fluctuations. While efforts such as those of Christiano, Eichenbaum, and Evans
(2005) or Smets andWouters (2003, 2007) are encouraging,itwould be foolish to
claim that these models represent settled truth.Work in this vein is sufficiently new
that one can hardly be surprised if, a decade from now, the best available models for
use in policy analysis differ from these in important (though as yet unforeseeable)
respects.
This does not mean that using such models as a basis for counterfactual
policy
simulations involves doubtful claims about the empiricalvalidity of the models.
resulting from reliance on a faulty model. Questions about the robustness of the
conclusions from policy analyses can be, and are, addressed within the current
mainstream paradigm for macroeconomic analysis. Andrew Levin et al. (2005)
provides a good example.
Nor is it convincing to suggest that improved policy advice might be obtained
more reliably by devoting current research efforts to the clarification of "first prin
ciples" ofmacroeconomic theory, in the expectation that progress in the understand
ing of fundamental theory should eventually eliminate uncertainty about policy
issues as well. While research aimed purely at theoretical clarification can be valu
able, there is little reason to expect that the issues clarified will be the ones thatmat
ter for the improvement of policy, unless researchers
directly address questions of
public policy in theirwork, or at least address questions raised by the literature that
analyzes policy issues.
In his paper, Mankiw (2006, 44) criticizes the current state of macroeconomics
from the opposite perspective of the one just discussed. InMankiw's view, since the
1970s, too much stress has been placed on the development of macroeconomics as
a science with clear, conceptual foundations, and too little on macroeconomics as
a branch of engineering, a of lore about how to solve As a result,
body problems.
he argues the conceptual developments of the past several decades have "had little
impact on practical macroeconomists who are charged with themessy task of con
ducting actual monetary and fiscal policy." In this respect, he asserts all of the dif
ferent, recent currents of thought among academic macroeconomists have equally
failed.
For example, Mankiw states that themodels used for quantitative policy analy
sis in policy institutions like the Federal Reserve "are the direct descendents of
the early modeling efforts of Klein, Modigliani, and Eckstein. Research by new
classicals and new Keynesians has had minimal influence on the construction of
these models" (Mankiw 2006, 42). But this is a misleading picture of the current
state of affairs. It is true that themodeling efforts of many policy institutions can
be reasonably seen as an evolutionary development within themacroeconometric
modeling program of the postwar Keynesians. Thus, if one expected, with the
early New Classicals, that adoption of the new tools would require building from
the ground up, one might conclude that the new tools have not been put to use. But
in fact they have been put to use, only not with such radical consequences as had
once been predicted.
The Fed's current main policy model, the FRB/US model, was developed in the
mid-1990s, before the recent renaissance of research on empirical DSGE models,
but it incorporated many insights from the research literature of the 1970s and
1980s. As Flint Brayton et al. (1997) explained, itdeparted sharply from the previ
ous generation of Federal Reserve Board models in giving much more attention
tomodeling the endogenous evolution of expectations and allowed model simula
tions to be conducted under an assumption of model-consistent (or rational) expec
tations, among other possibilities. The modelers also gave much more attention to
an equilibrium
ensuring that themodel implied long-run dynamics consistent with
model. For example, that the dynamics of both government debt and the external
debt satisfy transversality conditions. Finally, adjustment dynamics were mod
eled not by simply adding arbitrary lags to structural relations, or even by ad hoc
on the basis of dynamic optimization problems
"partial adjustment" dynamics, but
for the decision makers that incorporated explicit (though flexibly parameterized)
adjustment costs.
Around the same time, new macroeconomic models were introduced at other cen
tral banks, such as theBank of Canada's Quarterly Projection Model (Donald Coletti
et al. 1996) and the Reserve Bank of New Zealand's Forecasting and Projection
were similarly modern in their emphasis
System (Richard Black et al. 1997), that
on endogenous expectations and long-run dynamics consistent with an equilibrium
model. These were not mere research projects, but models used for practical policy
deliberations under the "forecasttargeting" approach tomonetary policy employed
by both central banks beginning in the 1990s.
In the decade since, as the scholarly literature has devoted more attention to the
and empirically tested,
development of models that are both theoretically consistent
the rate at which ideas from the research literature are incorporated into model
central
ing practice in policy institutions has accelerated, with forecast-targeting
banks often playing a leading role. Examples of the more theoretically ambitious
recent projects include the International Monetary Fund's Global Economy Model
(TamimBayoumi et al. 2004), theSwedishRiksbank's RAMSES (MalinAdolfson
et al. 2007), the European Central Bank's New Area-Wide Model (Kai Christoffel,
Guenter Coenen, and Chris Warne 2007), and the Norwegian Economic Model
6
RAMSES and theNew Area-Wide Model are estimated models. The teams
responsible forGEM and NEMO
have indicated an intention to estimate theirmodels using Bayesian methods as well,
though only calibrated ver
sions of themodels are in use at present.
7
There are also a great many other methodologically ambitious modeling projects underway within the
research staffs of policy institutions including the Federal Reserve
System. Here, I have mentioned only models
that are already being used, or have clearly been
developed to be used, in policy analysis by the institution respon
sible for developing themodel.
8
For the extent towhich aspects of the conventional wisdom circa 1970 have been
repudiated by practicing cen
tral bankers, and the role of the academic literature in this
development, see Goodfriend (2007). In Goodfriend's
characterization, "the story is one of mutually reinforcing advances in theory and practice" (Goodfriend 2007,
57).
9
For further comment on Mankiw's argument, see David Warsh (2006).
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