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EconomicLetter

Vol. 4, No. 1
JANUARY 2009­­

Insights from the

F e d e r a l Rese r v e B a n k of Da l l as

Ties that Bind: Bilateral Trade’s Role
in Synchronizing Business Cycles
by Ananth Ramanarayanan

How can small

For most of the past year, economies in all parts of the world have been

amounts of trade

weakening—from outright recessions in the U.S. and parts of Europe to sharply

transmit large

slower growth in China, India and other emerging economies. The pattern pro-

fluctuations

vides the latest example of international business-cycle synchronization— the

across countries?

tendency for countries to experience macroeconomic fluctuations of similar

An intriguing

timing and magnitude.

explanation involves

While today’s synchronization isn’t unusual, it raises questions about

intermediate goods.

the forces that transmit economic fluctuations from one country to another. An
important factor to consider is international trade. Over long periods of time,
countries with deeper trade ties are more closely synchronized. This occurs even
though trade with any particular partner makes up a fairly small part of economic activity in most countries.

Chart 1

U.S. More in Sync with Canada than Germany
A. U.S. and Canada Highly Correlated…
Percent change in real GDP

Trade patterns

8

influence changes

6

in other countries’

4

correlations with

2

the U.S. Over the past

0

few decades, U.S. trade

–2

U.S.

flows have slowly shifted

Canada

–4
1970

toward North America.

1975

1980

1985

1990

1995

2000

2005

B. …U.S. and Germany Less So
Percent change in real GDP
8
U.S.
6

4

How can small amounts of trade
transmit large fluctuations across
countries? An intriguing explanation
involves intermediate goods—raw
materials and parts used as inputs
to production. By linking different
stages of production across countries,
they have the potential to magnify
trade links’ impact on business-cycle
synchronization.
This explanation has received
more attention recently because production chains are becoming increasingly global due to advances in
transportation and communications
technologies as well as liberalization of
trade policies.
Trade and Synchronization
For the U.S., Canada and
Germany, fluctuations in real gross
domestic product (GDP) growth have

2

0
Germany
–2

–4
1970

1975

1980

1985

1990

1995

2000

2005

SOURCE: Organization for Economic Cooperation and Development’s annual national accounts database.

been of similar magnitude in recent
decades. Moreover, the three economies’ business cycles have generally
been synchronized—for example, all
declined in the early 1980s.
However, it quickly becomes
clear that U.S. GDP growth has been
more closely aligned with Canada
than Germany (Chart 1). From 1970 to
2005, the correlation was 0.76 between

EconomicLetter 2

F ederal Reserve Bank of Da ll as

the U.S. and Canada but only 0.44
between the U.S. and Germany.
Trade patterns influence changes
in other countries’ correlations with the
U.S. Over the past few decades, U.S.
trade flows have slowly shifted toward
North America and away from the rest
of the world as a result of changes in
trade policies, including Mexico’s liberalization of the 1980s, the formation of

the European Union in 1992 and the
North American Free Trade Agreement
in 1994 (Chart 2). The U.S. remained
highly correlated with Canada and
Mexico and gradually became less correlated with Europe and Japan.1
The pattern holds across a broad-

er set of countries.
For a sample of 25 industrialized
economies, business-cycle correlation tends to rise with bilateral trade
intensity, measured by both trading
partners’ imports as a share of their
combined GDP (Chart 3).2

Business-cycle

Chart 2

correlation tends

Trade Patterns Shape Synchronization

to rise with bilateral

A. U.S. Flows Shift Toward North American Partners

trade intensity,

Percent, 10-year moving average
70

measured by both

65

Europe and Japan

trading partners’

60

imports as a share

55
50

of their combined GDP.

45
40

Canada and Mexico

35
30
1980

1984

1988

1992

1996

2000

2004

2008

NOTE: The two series are the sum of U.S. imports from each region, plus each region’s imports from the U.S., normalized
so that the two total 100.
SOURCE: International Monetary Fund’s Direction of Trade Statistics.

B. U.S. Highly Synchronized with North American Partners
Correlation with U.S. real GDP growth, previous 10 years at each date
.6
.5

Canada and Mexico

.4
.3
.2
.1
0
–.1

Europe and Japan

–.2
1980

1984

1988

1992

1996

2000

2004

2008

NOTE: The aggregate of Canada and Mexico includes only Canada until 1980.
SOURCES: “Financial Globalization and Real Regionalization,” by Jonathan Heathcote and Fabrizio Perri, Journal of
Economic Theory, vol. 119, no. 1, 2004, pp. 207–43. Mexico is from the Organization for Economic Cooperation and
Development’s quarterly national accounts database.

F ederal Reserve Bank of Da ll as	

3 EconomicLetter

How can fluctuations
between close trading
partners be strongly
correlated when trade
volumes are small?
It’s possible that factors
besides trade volume
determine the degree of
synchronization, and
the same factors also
raise trade intensity.

These findings seem intuitive:
Countries that trade a lot with each
other have interconnected economies,
and it’s natural to expect fluctuations
in one country to affect these close
trading partners.
In explaining how trade generates
synchronization in economic fluctuations, standard theories of international
business cycles focus on consumer
demand.3 When one country experiences high growth, its consumers have
more money to spend on both domestic and imported goods. The country’s
close trading partners then see increasing demand for their exports, which
creates positive business-cycle correlations by stimulating production and
growth.
However, a counteracting effect
shouldn’t be ignored. If growth prospects are better abroad than at home,
households and businesses have an
incentive to invest overseas and reduce
production at home, expecting to
receive inflows of foreign investments
during better times. This leads to negative business-cycle correlations.

Which of these two effects dominates depends on a number of factors.
They include the degree of financial
and trade openness as well as consumers’ willingness to substitute between
domestic and imported goods.
The Trade Conundrum
Standard theories may identify
the transmission channels, but they
can’t explain one puzzling aspect of
trade and synchronization. How can
fluctuations between close trading
partners be strongly correlated when
trade volumes are small?
The average bilateral trade intensity of the 25 countries in Chart 3 was
0.5 percent of GDP in 2006. The U.S.
and Canada, two of the world’s most
integrated economies, had bilateral
trade of only 3.6 percent of their combined GDP. It’s possible that factors
besides trade volume determine the
degree of synchronization, and the
same factors also raise trade intensity.
Similar industries in different
countries may face the same shocks,
which would create synchronized fluc-

Chart 3

Synchronization Rises with Trade Intensity
Average correlation of GDP growth within group, 1970–2006
.5
.45
.4
.35
.3
.25
.2
.15
.1
.05
0

1
Lowest sixth
of country pairs

2

3
4
Ranking of bilateral trade intensity,
average for 1970, 1988 and 2006

5

6
Highest sixth
of country pairs

NOTE: Trade intensity is measured as the sum of each country’s imports from the other, divided by the sum of both
countries’ GDP.
SOURCES: International Monetary Fund’s Direction of Trade Statistics; Organization for Economic Cooperation and
Development’s annual national accounts database.

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F ederal Reserve Bank of Da ll as

tuations at the industry level, regardless of the level of trade. For example,
world oil prices affect energy-intensive
industries in every country. In this scenario, economies that are more alike in
industrial structure would appear more
correlated at the aggregate level.4
Even at the industry level, however, output synchronization tends to
rise with trade intensity. For example,
U.S. and Canadian industries become
more correlated as the amount of trade
increases within the industry (Chart 4).5
So there must be something more
going on.
That brings us to intermediate
goods, a large and growing segment
of international trade. Trade in inputs
may serve as an amplifying force
to allow relatively small import and
export volumes to impact production
in large parts of an economy.
For many countries, intermediate
products make up a significant share
of traded goods, providing interconnections that link production across
economies (Table 1).
Consider the auto industry. It
accounts for more than a quarter of
trade between the U.S. and Canada.
Within the industry, a large part of
trade involves goods in intermediate
stages of production—parts are manufactured in one country and shipped to
another for further processing or final
assembly.
Recent work suggests trade in
intermediate goods—not just overall
trade—is an important determinant of
international transmission of businesscycle fluctuations.6 For the U.S. and
Canada, cross-country industry pairs
that are closely tied through trade in
intermediate inputs display more synchronized fluctuations than industry
pairs with less intensive links (Chart 5).
In the U.S., for example, production of automobiles and auto parts
uses a relatively high amount of
imported inputs from Canada’s rubber
and plastics manufacturers, and the
correlation between real value added
in U.S. automobiles and Canadian
plastics is high at 0.7. At the opposite

Chart 4

Trade Ties Key at Industry Level, Too
Correlation of industry value added in U.S. and Canada, 1971–2003
.8
.7

Fabricated
metal products
Other manufacturing

.6
.5

Nonmetallic minerals

.4

Paper
products

Machinery and equipment

Motor vehicles

Wood and wood products

Textiles

.3

Rubber and plastic products

.2

Mining

.1

Coke and refined petroleum

Food, beverage and tobacco

0

Agriculture

–.1

Electricity, gas and water

–.2
0

.1

.2

.3

.4
Trade intensity

.5

.6

.7

.8

NOTE: Trade intensity is measured as the sum of U.S. imports from Canada and Canadian imports from the U.S. within
each industry, divided by the sum of the two countries’ value added in the industry.
SOURCE: Organization for Economic Cooperation and Development’s industry structural analysis database.

Table 1

Intermediate Goods Vital to Trade
Country

Intermediate goods
(percent of imports)

Year

35
52
39
62
49
35
56
47
43
27
57
51
50
63
34
32
49
52
37
34

1994–95
1996
1997
1997
1995
1997
1995
1995
1995
1994
1998
1992
1995
1995
1995
1997
1995
1995
1998
1997

Australia
Brazil
Canada
China
Czech Republic
Denmark
Finland
France
Germany
Greece
Hungary
Italy
Japan
Korea
Netherlands
Norway
Poland
Spain
United Kingdom
United States

NOTE: The figures represent the fraction of imported agriculture, mining and manufacturing used as intermediate inputs
by the agriculture, mining and manufacturing sectors.
SOURCE: Organization for Economic Cooperation and Development’s benchmark input–output tables.

F ederal Reserve Bank of Da ll as	

5 EconomicLetter

Determining the role of
intermediate inputs in
trade can be difficult.
A significant problem
comes in the construction
of national income
accounts. The data
are calculated with
base-period prices .

end of the spectrum, the U.S. rubber
and plastics industry imports no inputs
from Canada’s food industry, and the
value-added correlation between U.S.
plastics and Canadian food is close to
zero.
Such industry-level findings suggest that intermediate inputs may
be key to why countries that trade
intensely are more correlated at the
aggregate level. Foreign growth makes
more imported inputs available and
lowers their prices, which potentially
generates higher home-country production of goods that heavily use
those intermediate goods.7
Improved efficiency at Canadian
plastics manufacturers might allow
U.S. auto plants to benefit from lower
prices for imported parts. If cheaper
inputs generate significant production
increases and real value added at U.S.
plants, it would provide a channel for
trade to transmit fluctuations across
borders. Moreover, the channel would
be distinct from other transmission

mechanisms that might be at work at
the same time.
Determining the role of intermediate inputs in trade can be difficult. A
significant problem comes in the construction of national income accounts.
The data are calculated with baseperiod prices—those prevailing before
any changes in the supply of imports.
Foreign inputs are subtracted from
real GDP, so cheaper imports don’t
show a significantly positive effect on
measured economic performance. (See
box titled “How Base-Period Pricing
Misses Trade’s Impact.”)
The reasoning begins with the
assumption that producers had been
getting the maximum output from
their inputs in the base year. If calculated with last year’s prices, GDP
can’t be higher this year, even with
lower prices and greater availability of
imports. Strong foreign growth reflected in lower import prices doesn’t
translate into higher domestic growth.
For many years, researchers

Chart 5

U.S.–Canada Industry Correlation Rises with
Dependence on Imported Inputs
Average correlation of real value-added growth within group, 1971–2003
.35
.30
.25
.20
.15
.10
.05
0

1
Lowest fifth
of sector pairs

2

3

4

Ranking of sector-pair import input intensity, 1997

5
Highest fifth
of sector pairs

NOTE: Input intensity for each sector pair equals imported inputs required from one sector to produce $1 of output in
another sector.
SOURCE: Organization for Economic Cooperation and Development’s industry structural analysis database and benchmark
input–output tables.

EconomicLetter 6

F ederal Reserve Bank of Da ll as

have known that national accounts
methodology doesn’t allow changes
in the terms of trade—the price of
a country’s imports relative to the
price of its exports—to translate into
measurable changes in real GDP.8 We
need a deeper explanation for the
links between trade and business-cycle
synchronization—especially trade in
intermediate inputs.
The explanation could involve a

combination of factors. One relatively
unexplored channel is the presence
of multinational corporations. They
account for the bulk of international
trade in developed economies as they
spread their production chains across
many locations.9
Multinationals make up a large
part of domestic output in many countries. Firm-level shocks or innovations
are easily transmitted to countries

where large corporations have plants.
Country pairs hosting plants of the
same firm—and thus likely engaged in
a lot of trade in intermediate goods—
would experience the same effects.
Future research along these lines could
reveal whether this feature of the
world economy accounts for the links
between trade and macroeconomic
fluctuations.
Ramanarayanan is a research economist in the
Federal Reserve Bank of Dallas’ Globalization
and Monetary Policy Institute.

How Base-Period Pricing Misses Trade’s Impact

Notes
A diagram helps explain why GDP figures don’t fully account for trade’s impact on synchronization.1
In the figure below, the orange line represents the amount of output y (measured on
the vertical axis) that can be produced with a given amount of imported intermediate inputs
m (measured on the horizontal axis), keeping hours worked and other inputs to production fixed. The shape of this curve reflects the idea that more imported intermediate goods
generates more output, but at a diminishing rate.
Producers would optimally choose to purchase imported inputs up to the point that an
additional increment in output just equals the price paid for inputs. If the price of imports
is given by the slope of the red dotted line, labeled p, production takes place at point A.
The height of point A is gross output, but to calculate GDP, we compute value added by
subtracting the value of inputs purchased from the value of output produced to arrive at
point B.
Now, consider a reduction in the price of imports. This is shown as the dotted blue line,
labeled p´. Production now takes place at point A´, but to calculate real GDP, we subtract
inputs at the price of the previous period, p. This leads to point B´, while the nominal value
of GDP is measured at point C. Although imports have become cheaper, resulting in a higher
nominal value of output, real GDP falls from B to B´.

1

In this calculation, Europe includes these

15 countries: Austria, Belgium, Denmark,
Finland, France, Germany, Greece, Ireland, Italy,
Luxembourg, Netherlands, Portugal, Spain,
Sweden and the U.K.
2

This point was first illustrated in “The

Endogeneity of the Optimum Currency Area
Criteria,” by Jeffrey A. Frankel and Andrew K.
Rose, Economic Journal, vol. 108, no. 449,
1998, pp. 1009–25. The sample of countries
included in Chart 3 is Australia, Austria, Belgium/
Luxembourg, Canada, Denmark, Finland, France,
Germany, Greece, Iceland, Ireland, Italy, Japan,
Korea, Mexico, Netherlands, New Zealand,
Norway, Portugal, Spain, Sweden, Switzerland,
Turkey, the U.K. and the U.S. Belgium and
Luxembourg are treated as one country because,

y

until 1997, their international trade statistics were
collected together.
p

3

See, for example, “International Real Business

Cycles,” by David K. Backus, Patrick J. Kehoe and

p'

Finn E. Kydland, Journal of Political Economy,

A'

vol. 100, no. 4, 1992, pp. 745–75.
4

Two relevant papers are “Trade, Finance,

Specialization, and Synchronization,” by Jean

A

Imbs, Review of Economics and Statistics,

C

vol. 86, no. 3, 2004, pp. 723–34, and
“Determinants of Business Cycle Comovement:

B

A Robust Analysis,” by Marianne Baxter and
Michael A. Kouparitsas, Journal of Monetary

B'

Economics, vol. 52, no. 1, 2005, pp. 113–57.
Imbs argues that industry structure matters for
m

business-cycle synchronization, while Baxter and
Kouparitsas, using different methods, show that

Note

“This figure is a modified reproduction of Figure 1 in “Technology and the Demand for Imports,” by Ulrich Kohli, Southern Economic
Journal, vol. 50, no. 1, 1983, pp. 137–50.
1

it does not.
5

This finding is confirmed for a larger set

of countries in “Putting the Parts Together:

F ederal Reserve Bank of Da ll as	

7 EconomicLetter

EconomicLetter
Trade, Vertical Linkages, and Business Cycle

Synchronization,” by Costas Arkolakis and

Comovement,” by Julian di Giovanni and Andrei

Ananth Ramanarayanan, Federal Reserve Bank

A. Levchenko, University of Michigan, Research

of Dallas, Globalization and Monetary Policy

Seminar in International Economics Working

Institute Working Paper no. 21, October 2008.

Paper no. 580, September 2008.

8

6

Recent examples are di Giovanni and Levchenko

Papers making this point include “Technology

and the Demand for Imports,” by Ulrich Kohli,

(2008) and “Vertical Specialization, Intra-industry

Southern Economic Journal, vol. 50 , no. 1, 1983,

Trade, and Business Cycle Comovement,” by Eric

pp. 137–50, and, more recently, “Are Shocks to

C. Y. Ng, University of Western Ontario, Working

the Terms of Trade Shocks to Productivity?” by

Paper, October 2007.

Timothy J. Kehoe and Kim J. Ruhl, Review of

7

Two recent papers that assess the ability

is published monthly
by the Federal Reserve Bank of Dallas. The views
expressed are those of the authors and should not be
attributed to the Federal Reserve Bank of Dallas or the
Federal Reserve System.
Articles may be reprinted on the condition that
the source is credited and a copy is provided to the
Research Department of the Federal Reserve Bank of
Dallas.
Economic Letter is available free of charge
by writing the Public Affairs Department, Federal
Reserve Bank of Dallas, P.O. Box 655906, Dallas, TX
75265-5906; by fax at 214-922-5268; or by telephone
at 214-922-5254. This publication is available on the
Dallas Fed website, www.dallasfed.org.

Economic Dynamics, vol. 11, no. 4, 2008,

of this mechanism to account for the data

pp. 804–19.

are “Trade, Production Sharing, and the

9

International Transmission of Business Cycles,”

Analysis show that, in 2005, 70 percent of U.S.

by Ariel Burstein, Christopher Kurz and Linda

exports and 69 percent of U.S. imports involved

Tesar, Journal of Monetary Economics, vol.

U.S.-based multinational companies or U.S.

55, no. 4, 2008, pp. 775–95, and “Vertical

affiliates of foreign companies.

For example, data from the Bureau of Economic

Specialization and International Business Cycle

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A New View of Globalization

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Globalization is increasingly changing how nations interact in the economic sphere. In 2007, the Federal Reserve
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Policy Institute to explore the deepening economic integration among countries and better define the forces that
shape the world economy. The institute is particularly
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