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Global Output Gaps: Wave of
the Future?

James Bullard
President and CEO, FRB-St. Louis
Monetary Policy in a Global Setting:
China and the United States

28 March 2012
Beijing, China
Any views expressed here are my own and do not necessarily reflect the views of others on the Federal Open Market Committee.

Introduction

This talk
This is an academic-style talk on an issue of interest for U.S.
monetary policy.
I will review some existing research and comment on possible
directions for future research.
Suggestions for ways to get at the key issues more directly are
welcome.

A criticism of FOMC policy
Critics suggest that the Fed is encouraging inflation globally.
 This despite the fact that U.S. inflation is relatively low.

The spirit of the criticism is that the Fed may not be weighing
global conditions appropriately.
The Fed is charged with controlling U.S. inflation …
… but possibly global inflation will drive U.S. prices higher or
cause other problems.

Should the U.S. consider global output gaps?
Much U.S. monetary policy analysis focuses on the U.S. output
gap.
The U.S. is often analyzed as a closed economy.
Example: standard Taylor rules.

But given the criticism, perhaps the U.S. should focus on a “global
output gap”?
The intuition is that “dollar bloc” countries should appropriately be
viewed as closely tied together.

Recent research
The global perspective on the output gap might give a better
indication of global conditions …
… and possibly a better indication of U.S. inflation prospects.
Borio and Filardo (2007, BIS).
Martínez-García and Wynne (2010, FRB-Dallas).

Gap criticisms
I have been critical of gap-based analyses of inflation dynamics in
the past.
Those criticisms still apply:
 Theoretical issues are unresolved.
 Gap measurement issues are acute.
 Empirical relationships between gaps and inflation are shaky.

Still, the idea of “global output gaps” is one way to frame the
recent criticism of the Fed and promote fruitful debate.

Global Gaps

An inflation puzzle from the recent U.S. data
Inflation in the U.S. has moved up during the past 18 months.
This has occurred while most measures of the U.S. output gap have
remained very wide.
Typical estimates suggest inflation should have remained low or
even moved lower during 2011.
One explanation could be that the output gap is not nearly as wide
as commonly supposed.

Inflation turns around

Source: Bureau of Economic Analysis and FRB Dallas. Last observation: January 2012.

Inflation turns around

Source: Bureau of Labor Statistics and FRB Cleveland. Last observation: February 2012.

Global inflation

Source: IMF, World Economic Outlook (October 2011) and World Economic Outlook Update (January 2012).

OECD output gaps

Source: OECD Economic Outlook 90 Database. Last observation: 2010. Forecasts: 2011-2013.

Measuring the output gap

Source: BEA, CBO, and author’s calculations. Last observation: Q4-2011.

Decomposing real GDP

Source: Bureau of Economic Analysis and author’s calculations. Last observation: Q4-2011.

An alternative explanation
An alternative explanation is that the U.S. output gap is not the
relevant output gap for U.S. inflation.
Inflation has been a threat especially for countries with quasi-fixed
exchange rates with the dollar.
 Many countries prefer to manage their dollar exchange rate.

Those countries are choosing to import U.S. monetary policy to
some extent.

The dollar bloc
In a New Keynesian model, the exchange rate regime in
conjunction with the definition of inflation would bring global
considerations to bear on domestic policy.
What if it is the global output gap that really matters?
The global output gap is probably much narrower or even positive.
This would then be interpreted as putting upward pressure on U.S.
inflation.

A global “output gap”

Source: CPB Netherlands Bureau for Economic Policy Analysis, World Trade Monitor. Last observation: December 2011.

Global output gap

Source: P. Gerlach (2011, BIS Quarterly Review), updated to Q3-2011.

A tale of two gaps
These are just some possible measures of a global output gap.
The idea:
 The advanced economies gap is negative …
 … but the emerging markets gap is positive …
 … and the weighted average of the two is positive.

This may suggest upward, not downward, pressure on U.S.
inflation from this source.

Some Theory

New Keynesian theory
I will make only broad comments on available models.
Consider versions of the models in Bullard and Singh (2008, JME),
Bullard and Schaling (2009, JMCB), and Martínez-García and
Wynne (2010, FRB-Dallas).
These are, in turn, versions of Clarida, Galí, and Gertler (2002,
JME).
The basic idea is to extend the closed economy NK model to an
open economy.

Some model features
These are multi-country models with standard NK features.
 Calvo sticky prices in an intermediate goods sector, no capital, final
good producers are perfectly competitive.
 Utility is defined over composite final goods consumption from all
countries.
 A single parameter controls both the size of the country and the
degree of openness.
 The composite price index is defined over all goods consumed.

A key issue is the stabilization of domestic prices versus the
stabilization of the composite price index which includes the prices
of foreign goods.

Three equations
The point of CGG (2002) was to retain the “three equation model”
in an international context.
Accordingly, the assumptions yield:
 An equation describing the evolution of the domestic output gap as a
function of the domestic nominal interest rate,
 An equation describing the evolution of inflation as a function of the
output gap,
 A third, ad hoc equation which is a Taylor-type rule for the nominal
interest rate.

The countries are subject to country-specific shocks and have
country-specific sticky prices.

A simple observation

Under what circumstances can the monetary authorities in one
country ignore the output gap in other countries?
Answer:
 If inflation is defined as “domestic (producer) price inflation” and …
 … exchange rates are perfectly flexible.

Bottom line: These conditions are often not met in reality.

Equilibrium
The equilibrium of the global economy depends on the policy rules
adopted in the various countries.
Determinacy, or uniqueness, of the global equilibrium depends on
the joint behavior of the country policymakers.
 One country cannot “make up” for poor policy choices in the other
countries with respect to determinacy.
 Sunspot shocks will be transmitted across borders.
 Example: U.S., Germany, Japan in the 1970s.

Foreign output gaps will matter for domestic inflation dynamics.

Empirical Evidence

Does it work?
Borio and Filardo (2007) said yes. They included measures of
global slack in benchmark inflation rate equations, and found
significant increases in explanatory power.
One study for Europe found that the global output gap did not
appreciably impact Euro-area inflation from 1979-2003.
See Calza (2009, International Finance).
 However, globalization might be more important going forward than
it was in the past.

Thus, the global output gap idea may be the “wave of the future”
rather than an explanation for past economic outcomes.

Indeterminacy

Source: J. Bullard and A. Singh, 2008 JME.

Measurement issues
If domestic output gaps are difficult to measure, then global output
gaps are even harder to measure.
However, the idea of generally robust emerging markets suggests
that one might be less worried that the global output gap is very
large.
The gaps suggested by the literature are the distance between the
sticky price level of output and the flexible price level of output,
and are not the gaps of common parlance.

Conclusions

Conclusion

I have reviewed some parts of the literature on “global output
gaps.”
There are good reasons to think that in NK models, the global
output gap is a relevant indicator for domestic inflation.
This might help explain why current U.S. inflation is higher than
would be predicted based on a closed economy analysis.

Federal Reserve Bank of St. Louis
stlouisfed.org

Federal Reserve Economic Data (FRED)
research.stlouisfed.org/fred2/

James Bullard
research.stlouisfed.org/econ/bullard/