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Even if you never leave your home town, you are an active participant in a global
economy.When you go to the grocery store, for instance, you might choose be-
tween apples grown locally and grapes grown in Chile.When you make a de-
posit into your local bank, the bank might lend those funds to your next-door
neighbor or to a Japanese company building a factory outside Tokyo. Because
our economy is integrated with many others around the world, consumers have
more goods and services from which to choose, and savers have more opportuni-
ties to invest their wealth.
In previous chapters we simplified our analysis by assuming a closed economy.
In actuality, however, most economies are open: they export goods and services
abroad, they import goods and services from abroad, and they borrow and lend
in world financial markets. Figure 5-1 gives some sense of the importance of
these international interactions by showing imports and exports as a percentage
of GDP for seven major industrial countries. As the figure shows, imports and
exports in the United States are more than 10 percent of GDP. Trade is even
more important for many other countries—in Canada and the United King-
dom, for instance, imports and exports are about a third of GDP. In these coun-
tries, international trade is central to analyzing economic developments and
formulating economic policies.
This chapter begins our study of open-economy macroeconomics.We begin
in Section 5-1 with questions of measurement. To understand how the open
economy works, we must understand the key macroeconomic variables that
measure the interactions among countries.Accounting identities reveal a key in-
sight: the flow of goods and services across national borders is always matched by
an equivalent flow of funds to finance capital accumulation.
In Section 5-2 we examine the determinants of these international flows. We
develop a model of the small open economy that corresponds to our model of
the closed economy in Chapter 3.The model shows the factors that determine
whether a country is a borrower or a lender in world markets, and how policies
at home and abroad affect the flows of capital and goods.
5
The Open Economy
CHAPTER
No nation was ever ruined by trade.
— Benjamin Franklin
FIVE
114 |
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In Section 5-3 we extend the model to discuss the prices at which a country
makes exchanges in world markets. We examine what determines the price of
domestic goods relative to foreign goods.We also examine what determines the
rate at which the domestic currency trades for foreign currencies. Our model
shows how protectionist trade policies—policies designed to protect domestic
industries from foreign competition—influence the amount of international
trade and the exchange rate.
5-l The International Flows of Capital
and Goods
The key macroeconomic difference between open and closed economies is
that, in an open economy, a country’s spending in any given year need not
equal its output of goods and services. A country can spend more than it pro-
duces by borrowing from abroad, or it can spend less than it produces and
lend the difference to foreigners. To understand this more fully, let’s take
another look at national income accounting, which we first discussed in
Chapter 2.
CHAPTER 5 The Open Economy | 115
figure 5-1
Percentage
of GDP
40
35
30
25
20
15
10
5
0
Canada France Germany Italy Japan U.K. U.S.
Imports Exports
Imports and Exports as a Percentage of Output: 2000 While international trade
is important for the United States, it is even more vital for other countries.
Source: OECD.
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The Role of Net Exports
Consider the expenditure on an economy’s output of goods and services. In a
closed economy, all output is sold domestically, and expenditure is divided into
three components: consumption, investment, and government purchases. In an
open economy, some output is sold domestically and some is exported to be
sold abroad. We can divide expenditure on an open economy’s output Y into
four components:
? C
d
, consumption of domestic goods and services,
? I
d
, investment in domestic goods and services,
? G
d
, government purchases of domestic goods and services,
? EX, exports of domestic goods and services.
The division of expenditure into these components is expressed in the identity
Y = C
d
+ I
d
+ G
d
+ EX.
The sum of the first three terms, C
d
+ I
d
+ G
d
, is domestic spending on domes-
tic goods and services. The fourth term, EX, is foreign spending on domestic
goods and services.
We now want to make this identity more useful.To do this, note that domestic
spending on all goods and services is the sum of domestic spending on domestic
goods and services and on foreign goods and services. Hence, total consumption
C equals consumption of domestic goods and services C
d
plus consumption of
foreign goods and services C
f
; total investment I equals investment in domestic
goods and services I
d
plus investment in foreign goods and services I
f
; and total
government purchases G equals government purchases of domestic goods and
services G
d
plus government purchases of foreign goods and services G
f
.Thus,
C = C
d
+ C
f
,
I = I
d
+ I
f
,
G = G
d
+ G
f
.
We substitute these three equations into the identity above:
Y = (C ? C
f
) + (I ? I
f
) + (G ? G
f
) + EX.
We can rearrange to obtain
Y = C + I + G + EX ? (C
f
+ I
f
+ G
f
).
The sum of domestic spending on foreign goods and services (C
f
+ I
f
+ G
f
)is
expenditure on imports (IM).We can thus write the national income accounts
identity as
Y = C + I + G + EX ? IM.
Because spending on imports is included in domestic spending (C + I + G), and
because goods and services imported from abroad are not part of a country’s
116 | PART II Classical Theory: The Economy in the Long Run
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output, this equation subtracts spending on imports. Defining net exports to
be exports minus imports (NX = EX ? IM ), the identity becomes
Y = C + I + G + NX.
This equation states that expenditure on domestic output is the sum of con-
sumption, investment, government purchases, and net exports.This is the most
common form of the national income accounts identity; it should be familiar
from Chapter 2.
The national income accounts identity shows how domestic output, domestic
spending, and net exports are related. In particular,
NX = Y ? (C + I + G)
Net Exports = Output ? Domestic Spending.
This equation shows that in an open economy, domestic spending need not
equal the output of goods and services. If output exceeds domestic spending, we export
the difference: net exports are positive. If output falls short of domestic spending, we import
the difference: net exports are negative.
International Capital Flows and the Trade Balance
In an open economy, as in the closed economy we discussed in Chapter 3, finan-
cial markets and goods markets are closely related. To see the relationship, we
must rewrite the national income accounts identity in terms of saving and invest-
ment. Begin with the identity
Y = C + I + G + NX.
Subtract C and G from both sides to obtain
Y ? C ? G = I + NX.
Recall from Chapter 3 that Y ? C ? G is national saving S, the sum of private
saving, Y ? T ? C, and public saving, T ? G.Therefore,
S = I + NX.
Subtracting I from both sides of the equation, we can write the national income
accounts identity as
S ? I = NX.
This form of the national income accounts identity shows that an economy’s net
exports must always equal the difference between its saving and its investment.
Let’s look more closely at each part of this identity.The easy part is the right-
hand side, NX, which is our net export of goods and services.Another name for
net exports is the trade balance, because it tells us how our trade in goods and
services departs from the benchmark of equal imports and exports.
CHAPTER 5 The Open Economy | 117
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The left-hand side of the identity is the difference between domestic saving
and domestic investment, S ? I, which we’ll call net capital outflow. (It’s some-
times called net foreign investment.) If net capital outflow is positive, our saving
exceeds our investment, and we are lending the excess to foreigners. If the net
capital outflow is negative, our investment exceeds our saving, and we are financ-
ing this extra investment by borrowing from abroad. Thus, net capital outflow
equals the amount that domestic residents are lending abroad minus the amount
that foreigners are lending to us. It reflects the international flow of funds to fi-
nance capital accumulation.
The national income accounts identity shows that net capital outflow always
equals the trade balance.That is,
Net Capital Outflow = Trade Balance
S ? I = NX.
If S ? I and NX are positive, we have a trade surplus. In this case, we are net
lenders in world financial markets, and we are exporting more goods than we
are importing. If S ? I and NX are negative, we have a trade deficit. In this
case, we are net borrowers in world financial markets, and we are importing
more goods than we are exporting. If S ? I and NX are exactly zero, we are
said to have balanced trade because the value of imports equals the value of
exports.
The national income accounts identity shows that the international flow of funds to fi-
nance capital accumulation and the international flow of goods and services are two sides of
the same coin. On the one hand, if our saving exceeds our investment, the saving
that is not invested domestically is used to make loans to foreigners. Foreigners
require these loans because we are providing them with more goods and services
than they are providing us.That is, we are running a trade surplus. On the other
hand, if our investment exceeds our saving, the extra investment must be fi-
nanced by borrowing from abroad. These foreign loans enable us to import more
118 | PART II Classical Theory: The Economy in the Long Run
This table shows the three outcomes that an open economy can experience.
Trade Surplus Balanced Trade Trade Deficit
Exports > Imports Exports = Imports Exports < Imports
Net Exports > 0 Net Exports = 0 Net Exports < 0
Y > C + I + GY= C + I + GY< C + I + G
Savings > Investment Saving = Investment Saving < Investment
Net Capital Outflow > 0 Net Capital Outflow = 0 Net Capital Outflow < 0
International Flows of Goods and Capital: Summary
table 5-1
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goods and services than we export.That is, we are running a trade deficit.Table
5-1 summarizes these lessons.
Note that the international flow of capital can take many forms. It is easiest to
assume—as we have done so far—that when we run a trade deficit, foreigners
make loans to us.This happens, for example, when the Japanese buy the debt is-
sued by U.S. corporations or by the U.S. government. But the flow of capital can
also take the form of foreigners buying domestic assets, such as when a citizen of
Germany buys stock from an American on the New York Stock Exchange.
Whether foreigners are buying domestically issued debt or domestically owned
assets, they are obtaining a claim to the future returns to domestic capital. In both
cases, foreigners end up owning some of the domestic capital stock.
CHAPTER 5 The Open Economy | 119
FYI
The equality of net exports and net capital outflow
is an identity: it must hold by the way the numbers
are added up. But it is easy to miss the intuition
behind this important relationship. The best way
to understand it is to consider an example.
Imagine that Bill Gates sells a copy of the
Windows operating system to a Japanese con-
sumer for 5,000 yen. Because Mr. Gates is a U.S.
resident, the sale represents an export of the
United States. Other things equal, U.S. net ex-
ports rise. What else happens to make the iden-
tity hold? It depends on what Mr. Gates does
with the 5,000 yen.
Suppose Mr. Gates decides to stuff the 5,000
yen in his mattress. In this case, Mr. Gates has al-
located some of his saving to an investment in
the Japanese economy (in the form of the Japan-
ese currency) rather than to an investment in the
U.S. economy. Thus, U.S. saving exceeds U.S. in-
vestment. The rise in U.S. net exports is matched
by a rise in the U.S. net capital outflow.
If Mr. Gates wants to invest in Japan, however,
he is unlikely to make currency his asset of
choice. He might use the 5,000 yen to buy some
stock in, say, the Sony Corporation, or he might
buy a bond issued by the Japanese government.
In either case, some of U.S. saving is flowing
abroad. Once again, the U.S. net capital outflow
exactly balances U.S. net exports.
International Flows of Goods and Capital:
An Example
The opposite situation occurs in Japan. When
the Japanese consumer buys a copy of the Win-
dows operating system, Japan’s purchases of
goods and services (C + I + G) rise, but there is no
change in what Japan has produced (Y). The
transaction reduces Japan’s saving (S = Y ? C ? G)
for a given level of investment (I). While the U.S.
experiences a net capital outflow, Japan experi-
ences a net capital inflow.
Now let’s change the example. Suppose that
instead of investing his 5,000 yen in a Japanese
asset, Mr. Gates uses it to buy something made
in Japan, such as a Sony Walkman. In this case,
imports into the United State rise. Together, the
Windows export and the Walkman import repre-
sent balanced trade between Japan and the
United States. Because exports and imports rise
equally, net exports and net capital outflow are
both unchanged.
A final possibility is that Mr. Gates exchanges
his 5,000 yen for U.S. dollars at a local bank. But
this doesn’t change the situation: the bank now
has to do something with the 5,000 yen. It can
buy Japanese assets (a U.S. net capital outflow);
it can buy a Japanese good (a U.S. import); or it
can sell the yen to another American who wants
to make such a transaction. If you follow the
money, you can see that, in the end, U.S. net ex-
ports must equal U.S. net capital outflow.
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5-2 Saving and Investment in a
Small Open Economy
So far in our discussion of the international flows of goods and capital, we have
merely rearranged accounting identities. That is, we have defined some of the
variables that measure transactions in an open economy, and we have shown the
links among these variables that follow from their definitions. Our next step is to
develop a model that explains the behavior of these variables.We can then use
the model to answer questions such as how the trade balance responds to
changes in policy.
Capital Mobility and the World Interest Rate
In a moment we present a model of the international flows of capital and goods.
Because the trade balance equals the net capital outflow, which in turn equals
saving minus investment, our model focuses on saving and investment. To de-
velop this model, we use some elements that should be familiar from Chapter 3,
but in contrast to the Chapter 3 model, we do not assume that the real interest
rate equilibrates saving and investment. Instead, we allow the economy to run a
trade deficit and borrow from other countries, or to run a trade surplus and lend
to other countries.
If the real interest rate does not adjust to equilibrate saving and investment in
this model, what does determine the real interest rate? We answer this question
here by considering the simple case of a small open economy with perfect
capital mobility. By “small’’ we mean that this economy is a small part of the
world market and thus, by itself, can have only a negligible effect on the world
interest rate. By “perfect capital mobility’’ we mean that residents of the country
have full access to world financial markets. In particular, the government does not
impede international borrowing or lending.
Because of this assumption of perfect capital mobility, the interest rate in our
small open economy, r, must equal the world interest rate r*, the real interest
rate prevailing in world financial markets:
r = r*.
Residents of the small open economy need never borrow at any interest rate
above r*, because they can always get a loan at r* from abroad. Similarly, residents
of this economy need never lend at any interest rate below r* because they can
always earn r* by lending abroad.Thus, the world interest rate determines the in-
terest rate in our small open economy.
Let us discuss for a moment what determines the world real interest rate. In a
closed economy, the equilibrium of domestic saving and domestic investment
determines the interest rate. Barring interplanetary trade, the world economy is a
closed economy. Therefore, the equilibrium of world saving and world invest-
ment determines the world interest rate. Our small open economy has a negligi-
ble effect on the world real interest rate because, being a small part of the world,
120 | PART II Classical Theory: The Economy in the Long Run
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it has a negligible effect on world saving and world investment. Hence, our small
open economy takes the world interest rate as exogenously given.
The Model
To build the model of the small open economy, we take three assumptions from
Chapter 3:
? The economy’s output Y is fixed by the factors of production and the pro-
duction function.We write this as
Y = Y
_
= F(K
_
, L
_
).
? Consumption C is positively related to disposable income Y ? T. We write
the consumption function as
C = C(Y ? T ).
? Investment I is negatively related to the real interest rate r. We write the
investment function as
I = I(r).
These are the three key parts of our model. If you do not understand these rela-
tionships, review Chapter 3 before continuing.
We can now return to the accounting identity and write it as
NX = (Y ? C ? G) ? I
NX = S ? I.
Substituting our three assumptions from Chapter 3 and the condition that the
interest rate equals the world interest rate, we obtain
NX = [Y
_
? C(Y
_
? T ) ? G] ? I(r*)
= S
_
? I(r*).
This equation shows what determines saving S and investment I—and thus the
trade balance NX. Remember that saving depends on fiscal policy: lower govern-
ment purchases G or higher taxes T raise national saving. Investment depends on
the world real interest rate r*: high interest rates make some investment projects
unprofitable.Therefore, the trade balance depends on these variables as well.
In Chapter 3 we graphed saving and investment as in Figure 5-2. In the closed
economy studied in that chapter, the real interest rate adjusts to equilibrate saving
and investment—that is, the real interest rate is found where the saving and in-
vestment curves cross. In the small open economy, however, the real interest rate
equals the world real interest rate. The trade balance is determined by the difference be-
tween saving and investment at the world interest rate.
At this point, you might wonder about the mechanism that causes the trade
balance to equal the net capital outflow. The determinants of the capital flows are
CHAPTER 5 The Open Economy | 121
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easy to understand.When saving falls short of investment, investors borrow from
abroad; when saving exceeds investment, the excess is lent to other countries. But
what causes those who import and export to behave in a way that ensures that
the international flow of goods exactly balances this international flow of capital?
For now we leave this question unanswered, but we return to it in Section 5-3
when we discuss the determination of exchange rates.
How Policies Influence the Trade Balance
Suppose that the economy begins in a position of balanced trade. That is, at the
world interest rate,investment I equals saving S,and net exports NX equal zero.Let’s
use our model to predict the effects of government policies at home and abroad.
Fiscal Policy at Home Consider first what happens to the small open econ-
omy if the government expands domestic spending by increasing government
purchases.The increase in G reduces national saving, because S = Y ? C ? G.
With an unchanged world real interest rate, investment remains the same.There-
fore, saving falls below investment, and some investment must now be financed
by borrowing from abroad. Because NX = S ? I, the fall in S implies a fall in NX.
The economy now runs a trade deficit.
The same logic applies to a decrease in taxes.A tax cut lowers T, raises dispos-
able income Y ? T, stimulates consumption, and reduces national saving. (Even
though some of the tax cut finds its way into private saving, public saving falls by
the full amount of the tax cut; in total, saving falls.) Because NX = S ? I, the re-
duction in national saving in turn lowers NX.
Figure 5-3 illustrates these effects. A fiscal-policy change that increases private
consumption C or public consumption G reduces national saving (Y ? C ? G)
and, therefore, shifts the vertical line that represents saving from S
1
to S
2
. Because
NX is the distance between the saving schedule and the investment schedule at
the world interest rate, this shift reduces NX. Hence, starting from balanced trade, a
change in fiscal policy that reduces national saving leads to a trade deficit.
122 | PART II Classical Theory: The Economy in the Long Run
figure 5-2
Real interest
rate, r*
r*
NX
S
Investment, Saving, I, S
I(r)
World
interest
rate
Trade surplus
Interest
rate if the
economy
were closed
Saving and Investment in a
Small Open Economy In a
closed economy, the real interest
rate adjusts to equilibrate saving
and investment. In a small open
economy, the interest rate is de-
termined in world financial mar-
kets. The difference between
saving and investment deter-
mines the trade balance. Here
there is a trade surplus, because
at the world interest rate, saving
exceeds investment.
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Fiscal Policy Abroad Consider now what happens to a small open economy
when foreign governments increase their government purchases. If these foreign
countries are a small part of the world economy, then their fiscal change has a
negligible impact on other countries. But if these foreign countries are a large
part of the world economy, their increase in government purchases reduces
world saving and causes the world interest rate to rise.
The increase in the world interest rate raises the cost of borrowing and, thus,
reduces investment in our small open economy. Because there has been no
change in domestic saving, saving S now exceeds investment I, and some of our
saving begins to flow abroad. Since NX = S ? I, the reduction in I must also in-
crease NX. Hence, reduced saving abroad leads to a trade surplus at home.
Figure 5-4 illustrates how a small open economy starting from balanced trade
responds to a foreign fiscal expansion. Because the policy change is occurring
CHAPTER 5 The Open Economy | 123
figure 5-3
Real interest
rate, r
r*
NX
S
1
Investment, Saving, I, S
I(r)
S
2
2. . . . but when a
fiscal expansion
reduces saving . . .
1. This economy
begins with
balanced trade, . . .
3. . . . a trade
deficit results.
A Fiscal Expansion at Home in a
Small Open Economy An increase
in government purchases or a re-
duction in taxes reduces national
saving and thus shifts the saving
schedule to the left, from S
1
to S
2
.
The result is a trade deficit.
figure 5-4
Real interest
rate, r
r*
2
r*
1
NX
S
Investment, Saving, I, S
I(r)
1. An
increase
in the
world
interest
rate . . .
2. . . . reduces
investment
and leads to
a trade surplus.
A Fiscal Expansion Abroad in a
Small Open Economy A fiscal ex-
pansion in a foreign economy
large enough to influence world
saving and investment raises the
world interest rate from r
1
*
to r
2
*
.
The higher world interest rate
reduces investment in this small
open economy, causing a trade
surplus.
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abroad, the domestic saving and investment schedules remain the same.The only
change is an increase in the world interest rate from r
1
*
to r
2
*
.The trade balance is
the difference between the saving and investment schedules; because saving ex-
ceeds investment at r
2
*
, there is a trade surplus. Hence, an increase in the world inter-
est rate due to a fiscal expansion abroad leads to a trade surplus.
Shifts in Investment Demand Consider what happens to our small open
economy if its investment schedule shifts outward—that is, if the demand for in-
vestment goods at every interest rate increases.This shift would occur if, for ex-
ample, the government changed the tax laws to encourage investment by
providing an investment tax credit. Figure 5-5 illustrates the impact of a shift in
the investment schedule.At a given world interest rate, investment is now higher.
Because saving is unchanged, some investment must now be financed by bor-
rowing from abroad, which means the net capital outflow is negative. Put differ-
ently, because NX = S ? I, the increase in I implies a decrease in NX. Hence, an
outward shift in the investment schedule causes a trade deficit.
124 | PART II Classical Theory: The Economy in the Long Run
figure 5-5
Real interest
rate, r
r*
NX
S
Investment, Saving, I, S
I(r)
2
I(r)
1
1. An increase
in investment
demand . . .
2. . . . leads to a
trade deficit.
A Shift in the Investment
Schedule in a Small Open
Economy An outward shift in the
investment schedule from I(r)
1
to
I(r)
2
increases the amount of in-
vestment at the world interest
rate r*. As a result, investment
now exceeds saving, which
means the economy is borrowing
from abroad and running a trade
deficit.
Evaluating Economic Policy
Our model of the open economy shows that the flow of goods and services mea-
sured by the trade balance is inextricably connected to the international flow of
funds for capital accumulation.The net capital outflow is the difference between
domestic saving and domestic investment.Thus, the impact of economic policies
on the trade balance can always be found by examining their impact on domes-
tic saving and domestic investment. Policies that increase investment or decrease
saving tend to cause a trade deficit, and policies that decrease investment or in-
crease saving tend to cause a trade surplus.
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Our analysis of the open economy has been positive, not normative.That is,
our analysis of how economic policies influence the international flows of capi-
tal and goods has not told us whether these policies are desirable. Evaluating eco-
nomic policies and their impact on the open economy is a frequent topic of
debate among economists and policymakers.
When a country runs a trade deficit, policymakers must confront the question
of whether it represents a national problem. Most economists view a trade deficit
not as a problem in itself, but perhaps as a symptom of a problem. A trade deficit
could be a reflection of low saving. In a closed economy, low saving leads to low
investment and a smaller future capital stock. In an open economy, low saving
leads to a trade deficit and a growing foreign debt, which eventually must be re-
paid. In both cases, high current consumption leads to lower future consump-
tion, implying that future generations bear the burden of low national saving.
Yet trade deficits are not always a reflection of economic malady.When poor
rural economies develop into modern industrial economies, they sometimes fi-
nance their high levels of investment with foreign borrowing. In these cases,
trade deficits are a sign of economic development. For example, South Korea ran
large trade deficits throughout the 1970s, and it became one of the success stories
of economic growth.The lesson is that one cannot judge economic performance
from the trade balance alone. Instead, one must look at the underlying causes of
the international flows.
CHAPTER 5 The Open Economy | 125
CASE STUDY
The U.S. Trade Deficit
During the 1980s and 1990s, the United States ran large trade deficits. Panel (a)
of Figure 5-6 documents this experience by showing net exports as a percentage
of GDP.The exact size of the trade deficit fluctuated over time, but it was large
throughout these two decades. In 2000, the trade deficit was $371 billion, or 3.7
percent of GDP. As accounting identities require, this trade deficit had to be fi-
nanced by borrowing from abroad (or, equivalently, by selling U.S. assets abroad).
During this period, the United States went from being the world’s largest credi-
tor to the world’s largest debtor.
What caused the U.S. trade deficit? There is no single explanation. But to un-
derstand some of the forces at work, it helps to look at national saving and do-
mestic investment, as shown in panel (b) of the figure. Keep in mind that the
trade deficit is the difference between saving and investment.
The start of the trade deficit coincided with a fall in national saving.This de-
velopment can be explained by the expansionary fiscal policy in the 1980s.With
the support of President Reagan, the U.S. Congress passed legislation in 1981
that substantially cut personal income taxes over the next three years. Because
these tax cuts were not met with equal cuts in government spending, the federal
budget went into deficit.These budget deficits were among the largest ever ex-
perienced in a period of peace and prosperity, and they continued long after
Reagan left office. According to our model, such a policy should reduce national
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126 | PART II Classical Theory: The Economy in the Long Run
figure 5-6
Percentage
of GDP
Investment
Saving
2
1
0
21
22
23
24
25
Surplus
Deficit
1960 1965
Year
1970 1975 1980 1985 1990 1995 2000
Percentage
of GDP
1960
Year
20
19
18
17
16
15
14
13
12
11
10
(b) U.S. Saving and Investment
(a) The U.S. Trade Balance
1965 1970 1975 1980 1985 1990 1995 2000
Trade balance
The Trade Balance, Saving, and Investment: The U.S. Experience Panel (a) shows
the trade balance as a percentage of GDP. Positive numbers represent a surplus,
and negative numbers represent a deficit. Panel (b) shows national saving and
investment as a percentage of GDP since 1960. The trade balance equals saving
minus investment.
Source: U.S. Department of Commerce.
User JOEWA:Job EFF01460:6264_ch05:Pg 127:26252#/eps at 100%*26252* Wed, Feb 13, 2002 9:27 AM
5-3 Exchange Rates
Having examined the international flows of capital and of goods and services, we
now extend the analysis by considering the prices that apply to these transac-
tions.The exchange rate between two countries is the price at which residents of
those countries trade with each other. In this section we first examine precisely
what the exchange rate measures, and we then discuss how exchange rates are
determined.
Nominal and Real Exchange Rates
Economists distinguish between two exchange rates: the nominal exchange
rate and the real exchange rate. Let’s discuss each in turn and see how they are
related.
The Nominal Exchange Rate The nominal exchange rate is the relative
price of the currency of two countries. For example, if the exchange rate be-
tween the U.S. dollar and the Japanese yen is 120 yen per dollar, then you can ex-
change one dollar for 120 yen in world markets for foreign currency. A Japanese
who wants to obtain dollars would pay 120 yen for each dollar he bought. An
American who wants to obtain yen would get 120 yen for each dollar he paid.
When people refer to “the exchange rate’’ between two countries, they usually
mean the nominal exchange rate.
CHAPTER 5 The Open Economy | 127
saving, thereby causing a trade deficit. And, in fact, that is exactly what happened.
Because the government budget and trade balance went into deficit at roughly
the same time, these shortfalls were called the twin deficits.
Things started to change in the 1990s, when the U.S. federal government
got its fiscal house in order. The first President Bush and President Clinton
both signed tax increases, while Congress kept a lid on spending. In addition to
these policy changes, rapid productivity growth in the late 1990s raised in-
comes and, thus, further increased tax revenue.These developments moved the
U.S. federal budget from deficit to surplus, which in turn caused national sav-
ing to rise.
In contrast to what our model predicts, the increase in national saving did not
coincide with a shrinking trade deficit, because domestic investment rose at the
same time. The likely explanation is that the boom in information technology
caused an expansionary shift in the U.S. investment function. Even though fiscal
policy was pushing the trade deficit toward surplus, the investment boom was an
even stronger force pushing the trade balance toward deficit.
The history of the U.S. trade deficit shows that this statistic, by itself, does not tell
us much about what is happening in the economy. We have to look deeper at sav-
ing, investment, and the policies and events that cause them to change over time.
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128 | PART II Classical Theory: The Economy in the Long Run
FYI
You can find nominal exchange rates reported
daily in many newspapers. Here’s how they are
reported in the Wall Street Journal.
Notice that each exchange rate is reported in
two ways. On this Thursday, 1 dollar bought
116.29 yen, and 1 yen bought 0.008599 dollars.
We can say the exchange rate is 116.29 yen per
dollar, or we can say the exchange rate is
0.008599 dollars per yen. Because 0.008599
equals 1/116.29, these two ways of expressing
How Newspapers Report the Exchange Rate
the exchange rate are equivalent. This book al-
ways expresses the exchange rate in units of for-
eign currency per dollar.
The exchange rate on this Thursday of 116.29
yen per dollar was down from 117.67 yen per dol-
lar on Wednesday. Such a fall in the exchange rate
is called a depreciation of the dollar; a rise in the ex-
change rate is called an appreciation. When the do-
mestic currency depreciates, it buys less of the
foreign currency; when it appreciates, it buys more.
The foreign exchange mid-range rates below apply to trading
among banks in amounts of $1 million and more, as quoted at
4 p.m. Eastern time by Rueters and other sources. Retail
transactions provide fewer units of foreign currency per dollar.
Rates for the 12 Euro currency countries are derived from the
latest dollar-euro rate using the exchange ratios set 1/1/99.
Special Drawing Rights (SDR) are based on exchange rates for
the U.S., German, British, French, and Japanese currencies.
Source: International Monetary Fund.
a-Russian Central Bank rate. b-Government rate. d-Floating
rate; trading band suspended on 4/11/00. e-Adopted U.S.
dollar as of 9/11/00. f-Floating rate, eff. Feb. 22.
EXCHANGE RATES
Thursday, September 20, 2001
CURRENCY TRADING
Country
Argentina (Peso)
Australia (Dollar)
Austria (Schilling)
Bahrain (Dinar)
Belgium (Franc)
Brazil (Real)
Britain (Pound)
1-month forward
3-months forward
6-months forward
Canada (Dollar)
1-month forward
3-months forward
6-months forward
Chile (Peso)
China (Renminbi)
Colombia (Peso)
Czech. Rep. (Koruna)
Commercial rate
Denmark (Krone)
Ecuador (US Dollar)-e
Finland (Markka)
France (Franc)
1-month forward
3-months forward
6-months forward
Germany (Mark)
1-month forward
3-months forward
6-months forward
Greece (Drachma)
Hong Kong (Dollar)
Hungary (Forint)
India (Rupee)
Indonesia (Rupiah)
Ireland (Punt)
Israel (Shekel)
Italy (Lira)
Thu
1.0002
.4932
.06740
2.6525
.0230
.3612
1.4671
1.4648
1.4603
1.4540
.6364
.6359
.6354
.6348
.001440
.1208
.0004269
.02704
.1246
1.0000
.1560
.1414
.1413
.1410
.1407
.4742
.4738
.4729
.4718
.002722
.1282
.003589
.02084
.0001059
1.1776
.2297
.0004790
Country
Japan (Yen)
1-month forward
3-months forward
6-months forward
Jordan (Dinar)
Kuwait (Dinar)
Lebanon (Pound)
Malaysia (Ringgit)-b
Malta (Lira)
Mexico (Peso)
Floating rate
Netherlands (Guilder)
New Zealand (Dollar)
Norway (Krone)
Pakistan (Rupee)
Peru (new Sol)
Philippines (Peso)
Poland (Zloty)-d
Portugal (Escudo)
Russia (Ruble)-a
Saudi Arabia (Riyal)
Singapore (Dollar)
Slovak Rep. (Koruna)
South Africa (Rand)
South Korea (Won)
Spain (Peseta)
Sweden (Krona)
Switzerland (Franc)
1-month forward
3-months forward
6-months forward
Taiwan (Dollar)
Thailand (Baht)
Turkey (Lira)-f
United Arab (Dirham)
Uruguay (New Peso)
Financial
Venezuela (Bolivar)
SDR
Euro
Wed
1.0003
.4931
.06735
2.6518
.0230
.3699
1.4684
1.4658
1.4615
1.4549
.6376
.6371
.6365
.6359
.001449
.1208
.0004264
.02716
.1245
1.0000
.1559
.1413
.1412
.1409
.1406
.4738
.4734
.4726
.4714
.002720
.1282
.003592
.02083
.0001041
1.1767
.2304
.0004786
Thu
.9998
2.0274
14.837
.3770
43.4955
2.7685
.6816
.6827
.6848
.6878
1.5713
1.5725
1.5739
1.5752
694.55
8.2766
2342.50
36.985
8.0260
1.0000
6.4108
7.0727
7.0794
7.0921
7.1088
2.1088
2.1108
2.1146
2.1196
367.41
7.7995
278.67
47.980
9445
.8492
4.3541
2087.74
Wed
.9997
2.0278
14.848
.3771
43.5284
2.7035
.6810
.6822
.6842
.6873
1.5683
1.5696
1.5712
1.5725
690.15
8.2766
2345.00
36.822
8.0315
1.0000
6.4157
7.0780
7.0846
7.0970
7.1146
2.1104
2.1124
2.1161
2.1214
367.70
7.7992
278.40
48.010
9605
.8498
4.3400
2089.31
U.S. $ EQUIV. CURRENCY PER U.S. $
U.S. $ EQUIV. CURRENCY PER U.S. $
Thu
.008599
.008618
.008655
.008707
1.4069
3.2830
.0006604
.2632
2.779
.1055
.4209
.4128
.1169
.01559
.2857
.01949
.2404
.004626
.03399
.2666
.5758
.02116
.1149
.0007734
.005574
.0942
.6303
.6302
.6301
.6303
.02894
.02266
.00000066
.2723
.07278
.001345
1.2945
.9275
1.2950
.9268
.7725
1.0782
.7722
1.0790
Wed
.008498
.008517
.008553
.008603
1.4069
3.2841
.0006604
.2632
2.2774
.1060
.4205
.4122
.1169
.01559
.2857
.01946
.2382
.004623
.03397
.2666
.5749
.02118
.1156
.0007740
.005570
.0952
.6260
.6259
.6258
.6259
.02895
.02265
.00000066
.2723
.07278
.001345
Thu
116.29
116.04
115.53
114.85
.7108
.3046
1514.25
3.8000
.4390
9.4825
2.3761
2.4225
8.5530
64.150
3.5005
51.300
4.1600
216.16
29.422
3.7508
1.7368
47.253
8.6998
1293.00
179.40
10.6178
1.5865
1.5867
1.5870
1.5866
34.560
44.140
1520000
3.6730
13.740
743.25
Wed
117.67
117.41
116.92
116.23
.7108
.3045
1514.25
3.8000
.4391
9.4325
2.3779
2.4260
8.5551
64.150
3.5003
51.375
4.1975
216.33
29.442
3.7505
1.7395
47.219
8.6478
1292.00
179.54
10.5030
1.5974
1.5977
1.5980
1.5977
34.540
44.150
1504000
3.6728
13.740
743.25
Source: Wall Street Journal, Friday, September 21, 2001. Reprinted by permission of the Wall Street Journal,
? 2001 Dow Jones & Company, Inc. All Rights Reserved Worldwide.
User JOEWA:Job EFF01460:6264_ch05:Pg 129:26254#/eps at 100%*26254* Wed, Feb 13, 2002 9:27 AM
The Real Exchange Rate The real exchange rate is the relative price of the
goods of two countries.That is, the real exchange rate tells us the rate at which
we can trade the goods of one country for the goods of another.The real ex-
change rate is sometimes called the terms of trade.
To see the relation between the real and nominal exchange rates, consider a
single good produced in many countries: cars. Suppose an American car costs
$10,000 and a similar Japanese car costs 2,400,000 yen.To compare the prices of
the two cars, we must convert them into a common currency. If a dollar is worth
120 yen, then the American car costs 1,200,000 yen. Comparing the price of the
American car (1,200,000 yen) and the price of the Japanese car (2,400,000 yen),
we conclude that the American car costs one-half of what the Japanese car costs.
In other words, at current prices, we can exchange two American cars for one
Japanese car.
We can summarize our calculation as follows:
=
= 0.5 .
At these prices and this exchange rate, we obtain one-half of a Japanese car per
American car. More generally, we can write this calculation as
= .
The rate at which we exchange foreign and domestic goods depends on the
prices of the goods in the local currencies and on the rate at which the curren-
cies are exchanged.
This calculation of the real exchange rate for a single good suggests how we
should define the real exchange rate for a broader basket of goods. Let e be the
nominal exchange rate (the number of yen per dollar), P be the price level in the
United States (measured in dollars), and P* be the price level in Japan (measured
in yen).Then the real exchange rate e is
Real Nominal Ratio of
Exchange = Exchange × Price
Rate Rate Levels
e
= e × (P/P*).
The real exchange rate between two countries is computed from the nominal
exchange rate and the price levels in the two countries. If the real exchange rate is
high, foreign goods are relatively cheap, and domestic goods are relatively expensive. If the
real exchange rate is low, foreign goods are relatively expensive, and domestic goods are rel-
atively cheap.
Nominal Exchange Rate × Price of Domestic Good
Price of Foreign Good
Real Exchange
Rate
Japanese Car
American Car
(120 yen/dollar) × (10,000 dollars/American Car)
(2,400,000 yen/Japanese Car)
Real Exchange
Rate
CHAPTER 5 The Open Economy | 129
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The Real Exchange Rate and the Trade Balance
What macroeconomic influence does the real exchange rate exert? To answer
this question, remember that the real exchange rate is nothing more than a
relative price. Just as the relative price of hamburgers and pizza determines
which you choose for lunch, the relative price of
domestic and foreign goods affects the demand for
these goods.
Suppose first that the real exchange rate is low. In
this case, because domestic goods are relatively
cheap, domestic residents will want to purchase few
imported goods: they will buy Fords rather than
Toyotas, drink Coors rather than Heineken, and va-
cation in Florida rather than Europe. For the same
reason, foreigners will want to buy many of our
goods. As a result of both of these actions, the quan-
tity of our net exports demanded will be high.
The opposite occurs if the real exchange rate is
high. Because domestic goods are expensive relative
to foreign goods, domestic residents will want to
buy many imported goods, and foreigners will want
to buy few of our goods.Therefore, the quantity of our net exports demanded
will be low.
We write this relationship between the real exchange rate and net exports as
NX = NX(
e
).
This equation states that net exports are a function of the real exchange rate. Fig-
ure 5-7 illustrates this negative relationship between the trade balance and the
real exchange rate.
130 | PART II Classical Theory: The Economy in the Long Run
“How about Nebraska? The dollar’s still strong
in Nebraska.’’
Dr
awing by Matt
eson; ? 1988
The New Y
o
r
k
er Magazine, Inc.
figure 5-7
Real exchange
rate, e
Net exports, NX0
NX(e)
Net Exports and the Real
Exchange Rate The figure
shows the relationship between
the real exchange rate and net
exports: the lower the real ex-
change rate, the less expensive
are domestic goods relative to
foreign goods, and thus the
greater are our net exports.
Note that a portion of the hori-
zontal axis measures negative
values of NX: because imports
can exceed exports, net exports
can be less than zero.
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The Determinants of the Real Exchange Rate
We now have all the pieces needed to construct a model that explains what fac-
tors determine the real exchange rate. In particular, we combine the relationship
between net exports and the real exchange rate we just discussed with the model
of the trade balance we developed earlier in the chapter.We can summarize the
analysis as follows:
? The real exchange rate is related to net exports.When the real exchange
rate is lower, domestic goods are less expensive relative to foreign goods,
and net exports are greater.
? The trade balance (net exports) must equal the net capital outflow, which
in turn equals saving minus investment. Saving is fixed by the consump-
tion function and fiscal policy; investment is fixed by the investment func-
tion and the world interest rate.
Figure 5-8 illustrates these two conditions.The line showing the relationship be-
tween net exports and the real exchange rate slopes downward because a low real
exchange rate makes domestic goods relatively inexpensive.The line representing
the excess of saving over investment, S ? I, is vertical because neither saving nor
investment depends on the real exchange rate.The crossing of these two lines de-
termines the equilibrium exchange rate.
Figure 5-8 looks like an ordinary supply-and-demand diagram. In fact, you
can think of this diagram as representing the supply and demand for foreign-
currency exchange.The vertical line, S ? I, represents the net capital outflow and
thus the supply of dollars to be exchanged into foreign currency and invested
abroad.The downward-sloping line, NX, represents the net demand for dollars
coming from foreigners who want dollars to buy our goods. At the equilibrium real
exchange rate, the supply of dollars available from the net capital outflow balances the de-
mand for dollars by foreigners buying our net exports.
CHAPTER 5 The Open Economy | 131
figure 5-8
Real exchange
rate, e
Net exports, NX
Equilibrium
real exchange
rate
S 2 I
NX(e)
How the Real Exchange Rate Is
Determined The real exchange
rate is determined by the in-
tersection of the vertical line
representing saving minus in-
vestment and the downward-
sloping net-exports schedule.
At this intersection, the quan-
tity of dollars supplied for the
flow of capital abroad equals
the quantity of dollars de-
manded for the net export of
goods and services.
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How Policies Influence the Real Exchange Rate
We can use this model to show how the changes in economic policy we dis-
cussed earlier affect the real exchange rate.
Fiscal Policy at Home What happens to the real exchange rate if the govern-
ment reduces national saving by increasing government purchases or cutting
taxes? As we discussed earlier, this reduction in saving lowers S ? I and thus NX.
That is, the reduction in saving causes a trade deficit.
Figure 5-9 shows how the equilibrium real exchange rate adjusts to ensure
that NX falls.The change in policy shifts the vertical S ? I line to the left, low-
ering the supply of dollars to be invested abroad.The lower supply causes the
equilibrium real exchange rate to rise from
e
1
to
e
2
—that is, the dollar becomes
more valuable. Because of the rise in the value of the dollar, domestic goods be-
come more expensive relative to foreign goods, which causes exports to fall and
imports to rise.The change in exports and the change in imports both act to re-
duce net exports.
132 | PART II Classical Theory: The Economy in the Long Run
figure 5-9
Real exchange
rate, e
Net exports, NX
1. A reduction in
saving reduces the
supply of dollars, . . .
2. . . .
which
raises
the real
exchange
rate . . .
e
2
e
1
NX
2
NX
1
NX(e)
S
2
2 I S
1
2 I
3. . . . and causes
net exports to fall.
The Impact of Expansionary
Fiscal Policy at Home on the Real
Exchange Rate Expansionary fis-
cal policy at home, such as an in-
crease in government purchases
or a cut in taxes, reduces na-
tional saving. The fall in saving
reduces the supply of dollars to
be exchanged into foreign cur-
rency, from S
1
? I to S
2
? I. This
shift raises the equilibrium real
exchange rate from
e
1
to
e
2
.
Fiscal Policy Abroad What happens to the real exchange rate if foreign gov-
ernments increase government purchases or cut taxes? This change in fiscal pol-
icy reduces world saving and raises the world interest rate. The increase in the
world interest rate reduces domestic investment I, which raises S ? I and thus
NX.That is, the increase in the world interest rate causes a trade surplus.
Figure 5-10 shows that this change in policy shifts the vertical S ? I line to the
right, raising the supply of dollars to be invested abroad.The equilibrium real ex-
change rate falls.That is, the dollar becomes less valuable, and domestic goods be-
come less expensive relative to foreign goods.
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Shifts in Investment Demand What happens to the real exchange rate if invest-
ment demand at home increases, perhaps because Congress passes an investment
tax credit? At the given world interest rate, the increase in investment demand leads
to higher investment.A higher value of I means lower values of S ? I and NX.That
is, the increase in investment demand causes a trade deficit.
Figure 5-11 shows that the increase in investment demand shifts the vertical
S ? I line to the left, reducing the supply of dollars to be invested abroad. The
CHAPTER 5 The Open Economy | 133
figure 5-10
Real exchange
rate, e
Net exports, NX
**
e
1
e
2
NX
1
NX
2
NX(e)
S
2 I(r
1
) S
2 I(r
2
)
3. . . . and raises
net exports.
2. . . . causes
the real
exchange
rate to
fall, . . .
1. An increase in world
interest rates reduces
investment, which
increases the supply
of dollars, . . .
The Impact of Expansionary Fiscal
Policy Abroad on the Real
Exchange Rate Expansionary fiscal
policy abroad reduces world sav-
ing and raises the world interest
rate from r
1
* to r
2
*. The increase in
the world interest rate reduces in-
vestment at home, which in turn
raises the supply of dollars to be
exchanged into foreign currencies.
As a result, the equilibrium real
exchange rate falls from
e
1
to
e
2
.
figure 5-11
Real exchange
rate, e
Net exports, NX
e
2
e
1
NX
2
NX
1
NX(e)
S
2 I
2
S
2 I
1
1. An increase in
investment reduces
the supply of dollars, . . .
2. . . .
which
raises the
exchange
rate . . .
3. . . . and reduces
net exports.
The Impact of an Increase in
Investment Demand on the Real
Exchange Rate An increase in
investment demand raises the
quantity of domestic investment
from I
1
to I
2
. As a result, the
supply of dollars to be ex-
changed into foreign currencies
falls from S ? I
1
to S ? I
2
. This
fall in supply raises the equilib-
rium real exchange rate from
e
1
to
e
2
.
User JOEWA:Job EFF01460:6264_ch05:Pg 134:26259#/eps at 100%*26259* Wed, Feb 13, 2002 9:27 AM
equilibrium real exchange rate rises. Hence, when the investment tax credit makes
investing in the United States more attractive, it also increases the value of the U.S.
dollars necessary to make these investments.When the dollar appreciates, domestic
goods become more expensive relative to foreign goods, and net exports fall.
The Effects of Trade Policies
Now that we have a model that explains the trade balance and the real exchange
rate, we have the tools to examine the macroeconomic effects of trade policies.
Trade policies, broadly defined, are policies designed to influence directly the
amount of goods and services exported or imported. Most often, trade policies
take the form of protecting domestic industries from foreign competition—
either by placing a tax on foreign imports (a tariff) or restricting the amount of
goods and services that can be imported (a quota).
As an example of a protectionist trade policy, consider what would happen if
the government prohibited the import of foreign cars. For any given real ex-
change rate, imports would now be lower, implying that net exports (exports
minus imports) would be higher.Thus, the net-exports schedule shifts outward,
as in Figure 5-12.To see the effects of the policy, we compare the old equilib-
rium and the new equilibrium. In the new equilibrium, the real exchange rate is
higher, and net exports are unchanged. Despite the shift in the net-exports
schedule, the equilibrium level of net exports remains the same, because the pro-
tectionist policy does not alter either saving or investment.
134 | PART II Classical Theory: The Economy in the Long Run
figure 5-12
Real exchange
rate, e
Net exports, NX
e
1
e
2
S
2 I
NX(e)
2
NX(e)
1
NX
1
5 NX
2
3. . . . but leave net
exports unchanged.
2. . . . and
raise the
exchange
rate . . .
1. Protectionist policies
raise the demand
for net exports . . .
The Impact of Protectionist Trade
Policies on the Real Exchange
Rate A protectionist trade pol-
icy, such as a ban on imported
cars, shifts the net-exports
schedule from NX(
e
)
1
to NX(
e
)
2
,
which raises the real exchange
rate from
e
1
to
e
2
. Notice that,
despite the shift in the net-
exports schedule, the equilib-
rium level of net exports is
unchanged.
User JOEWA:Job EFF01460:6264_ch05:Pg 135:26260#/eps at 100%*26260* Wed, Feb 13, 2002 9:27 AM
This analysis shows that protectionist trade policies do not affect the trade
balance.This surprising conclusion is often overlooked in the popular debate
over trade policies. Because a trade deficit reflects an excess of imports over ex-
ports, one might guess that reducing imports—such as by prohibiting the im-
port of foreign cars—would reduce a trade deficit.Yet our model shows that
protectionist policies lead only to an appreciation of the real exchange rate.
The increase in the price of domestic goods relative to foreign goods tends to
lower net exports by stimulating imports and depressing exports.Thus, the ap-
preciation offsets the increase in net exports that is directly attributable to the
trade restriction.
Although protectionist trade policies do not alter the trade balance, they do
affect the amount of trade.As we have seen, because the real exchange rate ap-
preciates, the goods and services we produce become more expensive relative
to foreign goods and services.We therefore export less in the new equilibrium.
Because net exports are unchanged, we must import less as well. (The appreci-
ation of the exchange rate does stimulate imports to some extent, but this only
partly offsets the decrease in imports caused by the trade restriction.) Thus,
protectionist policies reduce both the quantity of imports and the quantity of
exports.
This fall in the total amount of trade is the reason economists almost al-
ways oppose protectionist policies. International trade benefits all countries by
allowing each country to specialize in what it produces best and by providing
each country with a greater variety of goods and services. Protectionist poli-
cies diminish these gains from trade. Although these policies benefit certain
groups within society—for example, a ban on imported cars helps domestic
car producers—society on average is worse off when policies reduce the
amount of international trade.
The Determinants of the Nominal Exchange Rate
Having seen what determines the real exchange rate, we now turn our atten-
tion to the nominal exchange rate—the rate at which the currencies of two
countries trade. Recall the relationship between the real and the nominal ex-
change rate:
Real Nominal Ratio of
Exchange = Exchange × Price
Rate Rate Levels
e
= e × (P/P*).
We can write the nominal exchange rate as
e =
e
× (P*/P).
This equation shows that the nominal exchange rate depends on the real ex-
change rate and the price levels in the two countries. Given the value of the real
CHAPTER 5 The Open Economy | 135
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exchange rate, if the domestic price level P rises, then the nominal exchange rate
e will fall: because a dollar is worth less, a dollar will buy fewer yen. However, if
the Japanese price level P* rises, then the nominal exchange rate will increase:
because the yen is worth less, a dollar will buy more yen.
It is instructive to consider changes in exchange rates over time.The exchange
rate equation can be written
% Change in e = % Change in
e
+ % Change in P* ? % Change in P.
The percentage change in
e
is the change in the real exchange rate.The percent-
age change in P is the domestic inflation rate
p
, and the percentage change in P*
is the foreign country’s inflation rate
p
*. Thus, the percentage change in the
nominal exchange rate is
% Change in e = % Change in
e
+ (
p
* ?
p
)
=+
This equation states that the percentage change in the nominal exchange rate
between the currencies of two countries equals the percentage change in the real
exchange rate plus the difference in their inflation rates. If a country has a high rate
of inflation relative to the United States, a dollar will buy an increasing amount of the for-
eign currency over time. If a country has a low rate of inflation relative to the United
States, a dollar will buy a decreasing amount of the foreign currency over time.
This analysis shows how monetary policy affects the nominal exchange rate.
We know from Chapter 4 that high growth in the money supply leads to high
inflation. Here, we have just seen that one consequence of high inflation is a de-
preciating currency: high
p
implies falling e. In other words, just as growth in the
amount of money raises the price of goods measured in terms of money, it also
tends to raise the price of foreign currencies measured in terms of the domestic
currency.
Difference in
Inflation Rates.
Percentage Change in
Real Exchange Rate
Percentage Change in
Nominal Exchange Rate
136 | PART II Classical Theory: The Economy in the Long Run
CASE STUDY
Inflation and Nominal Exchange Rates
If we look at data on exchange rates and price levels of different countries, we
quickly see the importance of inflation for explaining changes in the nominal
exchange rate.The most dramatic examples come from periods of very high in-
flation. For example, the price level in Mexico rose by 2,300 percent from 1983
to 1988. Because of this inflation, the number of pesos a person could buy with a
U.S. dollar rose from 144 in 1983 to 2,281 in 1988.
The same relationship holds true for countries with more moderate inflation.
Figure 5-13 is a scatterplot showing the relationship between inflation and the
exchange rate for 15 countries. On the horizontal axis is the difference between
each country’s average inflation rate and the average inflation rate of the United
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CHAPTER 5 The Open Economy | 137
States (
p
* ?
p
). On the vertical axis is the average percentage change in the ex-
change rate between each country’s currency and the U.S. dollar (% change in e).
The positive relationship between these two variables is clear in this figure.
Countries with relatively high inflation tend to have depreciating currencies (you
can buy more of them for your dollars over time), and countries with relatively
low inflation tend to have appreciating currencies (you can buy less of them for
your dollars over time).
As an example, consider the exchange rate between German marks and U.S.
dollars. Both Germany and the United States have experienced inflation over the
past twenty years, so both the mark and the dollar buy fewer goods than they
once did. But, as Figure 5-13 shows, inflation in Germany has been lower than
inflation in the United States.This means that the value of the mark has fallen
less than the value of the dollar.Therefore, the number of German marks you can
buy with a U.S. dollar has been falling over time.
figure 5-13
Percentage
change
in nominal
exchange
rate
10
9
8
7
6
5
4
3
2
1
0
21
22
23
24
Inflation differential
Depreciation
relative to
U.S. dollar
Appreciation
relative to
U.S. dollar
212223102345687
France
Canada
Sweden
Australia
UK
Ireland
Spain
South Africa
Italy
New Zealand
Netherlands
Germany
Japan
Belgium
Switzerland
Inflation Differentials and the Exchange Rate This scatterplot shows the
relationship between inflation and the nominal exchange rate. The hori-
zontal axis shows the country’s average inflation rate minus the U.S. aver-
age inflation rate over the period 1972–2000. The vertical axis is the
average percentage change in the country’s exchange rate (per U.S. dollar)
over that period. This figure shows that countries with relatively high infla-
tion tend to have depreciating currencies and that countries with relatively
low inflation tend to have appreciating currencies.
Source: International Financial Statistics.
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The Special Case of Purchasing-Power Parity
A famous hypothesis in economics, called the law of one price, states that the same
good cannot sell for different prices in different locations at the same time. If a
bushel of wheat sold for less in New York than in Chicago, it would be prof-
itable to buy wheat in New York and then sell it in Chicago.Astute arbitrageurs
would take advantage of such an opportunity and, thereby, would increase the
demand for wheat in New York and increase the supply in Chicago.This would
drive the price up in New York and down in Chicago—thereby ensuring that
prices are equalized in the two markets.
The law of one price applied to the international marketplace is called
purchasing-power parity. It states that if international arbitrage is possible,
then a dollar (or any other currency) must have the same purchasing power in
every country.The argument goes as follows. If a dollar could buy more wheat
domestically than abroad, there would be opportunities to profit by buying
wheat domestically and selling it abroad. Profit-seeking arbitrageurs would drive
up the domestic price of wheat relative to the foreign price. Similarly, if a dollar
could buy more wheat abroad than domestically, the arbitrageurs would buy
wheat abroad and sell it domestically, driving down the domestic price relative to
the foreign price.Thus, profit-seeking by international arbitrageurs causes wheat
prices to be the same in all countries.
We can interpret the doctrine of purchasing-power parity using our model of
the real exchange rate.The quick action of these international arbitrageurs im-
plies that net exports are highly sensitive to small movements in the real ex-
change rate. A small decrease in the price of domestic goods relative to foreign
goods—that is, a small decrease in the real exchange rate—causes arbitrageurs to
buy goods domestically and sell them abroad. Similarly, a small increase in the
relative price of domestic goods causes arbitrageurs to import goods from
abroad.Therefore, as in Figure 5-14, the net-exports schedule is very flat at the
real exchange rate that equalizes purchasing power among countries: any small
138 | PART II Classical Theory: The Economy in the Long Run
figure 5-14
Real exchange
rate, e
Net exports, NX
NX(e)
S
2 I
Purchasing-Power Parity The
law of one price applied to the
international marketplace sug-
gests that net exports are highly
sensitive to small movements in
the real exchange rate. This high
sensitivity is reflected here with a
very flat net-exports schedule.
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movement in the real exchange rate leads to a large change in net exports.This
extreme sensitivity of net exports guarantees that the equilibrium real exchange
rate is always close to the level ensuring purchasing-power parity.
Purchasing-power parity has two important implications. First, because the
net-exports schedule is flat, changes in saving or investment do not influence the
real or nominal exchange rate. Second, because the real exchange rate is fixed, all
changes in the nominal exchange rate result from changes in price levels.
Is this doctrine of purchasing-power parity realistic? Most economists believe
that, despite its appealing logic, purchasing-power parity does not provide a
completely accurate description of the world. First, many goods are not easily
traded. A haircut can be more expensive in Tokyo than in New York, yet there is
no room for international arbitrage because it is impossible to transport haircuts.
Second, even tradable goods are not always perfect substitutes. Some consumers
prefer Toyotas, and others prefer Fords. Thus, the relative price of Toyotas and
Fords can vary to some extent without leaving any profit opportunities. For
these reasons, real exchange rates do in fact vary over time.
Although the doctrine of purchasing-power parity does not describe the
world perfectly, it does provide a reason why movement in the real exchange rate
will be limited.There is much validity to its underlying logic: the farther the real
exchange rate drifts from the level predicted by purchasing-power parity, the
greater the incentive for individuals to engage in international arbitrage in
goods. Although we cannot rely on purchasing-power parity to eliminate all
changes in the real exchange rate, this doctrine does provide a reason to expect
that fluctuations in the real exchange rate will typically be small or temporary.
1
CHAPTER 5 The Open Economy | 139
1
To learn more about purchasing-power parity, see Kenneth A. Froot and Kenneth Rogoff,“Per-
spectives on PPP and Long-Run Real Exchange Rates,” in Gene M. Grossman and Kenneth Ro-
goff, eds., Handbook of International Economics, vol. 3 (Amsterdam: North-Holland, 1995).
CASE STUDY
The Big Mac Around the World
The doctrine of purchasing-power parity says that after we adjust for exchange
rates, we should find that goods sell for the same price everywhere. Conversely, it
says that the exchange rate between two currencies should depend on the price
levels in the two countries.
To see how well this doctrine works, The Economist, an international news-
magazine, regularly collects data on the price of a good sold in many countries:
the McDonald’s Big Mac hamburger. According to purchasing-power parity, the
price of a Big Mac should be closely related to the country’s nominal exchange
rate.The higher the price of a Big Mac in the local currency, the higher the ex-
change rate (measured in units of local currency per U.S. dollar) should be.
Table 5-2 presents the international prices in 2000, when a Big Mac sold for
$2.51 in the United States.With these data we can use the doctrine of purchasing-
power parity to predict nominal exchange rates. For example, because a Big Mac
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140 | PART II Classical Theory: The Economy in the Long Run
cost 294 yen in Japan, we would predict that the exchange rate between the dollar
and the yen was 294/2.51, or 117, yen per dollar.At this exchange rate, a Big Mac
would have cost the same in Japan and the United States.
Table 5-2 shows the predicted and actual exchange rates for 30 countries, ranked
by the predicted exchange rate.You can see that the evidence on purchasing-power
Exchange Rate
(per U.S. dollar)
Price of
Country Currency a Big Mac Predicted Actual
Indonesia Rupiah 14,500 5,777 7,945
Italy Lira 4,500 1,793 2,088
South Korea Won 3,000 1,195 1,108
Chile Peso 1,260 502 514
Spain Peseta 375 149 179
Hungary Forint 339 135 279
Japan Yen 294 117 106
Taiwan Dollar 70.0 27.9 30.6
Thailand Baht 55.0 21.9 38.0
Czech Rep. Crown 54.37 21.7 39.1
Russia Ruble 39.50 15.7 28.5
Denmark Crown 24.75 9.86 8.04
Sweden Crown 24.0 9.56 8.84
Mexico Peso 20.9 8.33 9.41
France Franc 18.5 7.37 7.07
Israel Shekel 14.5 5.78 4.05
China Yuan 9.90 3.94 8.28
South Africa Rand 9.0 3.59 6.72
Switzerland Franc 5.90 2.35 1.70
Poland Zloty 5.50 2.19 4.30
Germany Mark 4.99 1.99 2.11
Malaysia Dollar 4.52 1.80 3.80
New Zealand Dollar 3.40 1.35 2.01
Singapore Dollar 3.20 1.27 1.70
Brazil Real 2.95 1.18 1.79
Canada Dollar 2.85 1.14 1.47
Australia Dollar 2.59 1.03 1.68
United States Dollar 2.51 1.00 1.00
Argentina Peso 2.50 1.00 1.00
Britain Pound 1.90 0.76 0.63
Note: The predicted exchange rate is the exchange rate that would make the price of a Big Mac
in that country equal to its price in the United States.
Source: The Economist, April 29, 2000, 75.
Big Mac Prices and the Exchange Rate:
An Application of Purchasing-Power Parity
table 5-2
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5-4 Conclusion: The United States as a Large
Open Economy
In this chapter we have seen how a small open economy works.We have exam-
ined the determinants of the international flow of funds for capital accumulation
and the international flow of goods and services.We have also examined the de-
terminants of a country’s real and nominal exchange rates. Our analysis shows
how various policies—monetary policies, fiscal policies, and trade policies—affect
the trade balance and the exchange rate.
The economy we have studied is “small’’ in the sense that its interest rate is
fixed by world financial markets. That is, we have assumed that this economy
does not affect the world interest rate, and that the economy can borrow and
lend at the world interest rate in unlimited amounts.This assumption contrasts
with the assumption we made when we studied the closed economy in Chapter
3. In the closed economy, the domestic interest rate equilibrates domestic saving
and domestic investment, implying that policies that influence saving or invest-
ment alter the equilibrium interest rate.
Which of these analyses should we apply to an economy such as the United
States? The answer is a little of both.The United States is neither so large nor
so isolated that it is immune to developments occurring abroad.The large trade
deficits of the 1980s and 1990s show the importance of international financial
markets for funding U.S. investment. Hence, the closed-economy analysis of
Chapter 3 cannot by itself fully explain the impact of policies on the U.S.
economy.
Yet the U.S. economy is not so small and so open that the analysis of this
chapter applies perfectly either. First, the United States is large enough that it can
influence world financial markets. For example, large U.S. budget deficits were
often blamed for the high real interest rates that prevailed throughout the world
in the 1980s. Second, capital may not be perfectly mobile across countries. If in-
dividuals prefer holding their wealth in domestic rather than foreign assets, funds
for capital accumulation will not flow freely to equate interest rates in all coun-
tries. For these two reasons, we cannot directly apply our model of the small
open economy to the United States.
CHAPTER 5 The Open Economy | 141
parity is mixed. As the last two columns show, the actual and predicted ex-
change rate are usually in the same ballpark. Our theory predicts, for instance,
that a U.S. dollar should buy the greatest number of Indonesian rupiahs and
fewest British pounds, and this turns out to be true. In the case of Japan, the pre-
dicted exchange rate of 117 yen per dollar is close to the actual exchange rate
of 106.Yet the theory’s predictions are far from exact and, in many cases, are off
by 30 percent or more. Hence, although the theory of purchasing-power parity
provides a rough guide to the level of exchange rates, it does not explain ex-
change rates completely.
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When analyzing policy for a country such as the United States, we need to
combine the closed-economy logic of Chapter 3 and the small-open-economy
logic of this chapter.The appendix to this chapter builds a model of an economy
between these two extremes. In this intermediate case, there is international bor-
rowing and lending, but the interest rate is not fixed by world financial markets.
Instead, the more the economy borrows from abroad, the higher the interest rate
it must offer foreign investors.The results, not surprisingly, are a mixture of the
two polar cases we have already examined.
Consider, for example, a reduction in national saving caused by a fiscal expan-
sion. As in the closed economy, this policy raises the real interest rate and crowds
out domestic investment. As in the small open economy, it also reduces the net
capital outflow, leading to a trade deficit and an appreciation of the exchange
rate. Hence, although the model of the small open economy examined here does
not precisely describe an economy such as the United States, it does provide ap-
proximately the right answer to how policies affect the trade balance and the ex-
change rate.
Summary
1. Net exports are the difference between exports and imports.They are equal
to the difference between what we produce and what we demand for con-
sumption, investment, and government purchases.
2. The net capital outflow is the excess of domestic saving over domestic invest-
ment.The trade balance is the amount received for our net exports of goods
and services.The national income accounts identity shows that the net capital
outflow always equals the trade balance.
3. The impact of any policy on the trade balance can be determined by examin-
ing its impact on saving and investment. Policies that raise saving or lower in-
vestment lead to a trade surplus, and policies that lower saving or raise
investment lead to a trade deficit.
4. The nominal exchange rate is the rate at which people trade the currency of
one country for the currency of another country.The real exchange rate is
the rate at which people trade the goods produced by the two countries.The
real exchange rate equals the nominal exchange rate multiplied by the ratio
of the price levels in the two countries.
5. Because the real exchange rate is the price of domestic goods relative to for-
eign goods, an appreciation of the real exchange rate tends to reduce net ex-
ports.The equilibrium real exchange rate is the rate at which the quantity of
net exports demanded equals the net capital outflow.
6. The nominal exchange rate is determined by the real exchange rate and the
price levels in the two countries. Other things equal, a high rate of inflation
leads to a depreciating currency.
142 | PART II Classical Theory: The Economy in the Long Run
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CHAPTER 5 The Open Economy | 143
KEY CONCEPTS
Net exports
Trade balance
Net capital outflow
Trade surplus and trade deficit
Balanced trade
Small open economy
World interest rate
Nominal exchange rate
Real exchange rate
Purchasing-power parity
1. What are the net capital outflow and the trade
balance? Explain how they are related.
2. Define the nominal exchange rate and the real
exchange rate.
3. If a small open economy cuts defense spending,
what happens to saving, investment, the trade bal-
ance, the interest rate, and the exchange rate?
QUESTIONS FOR REVIEW
4. If a small open economy bans the import of
Japanese VCRs, what happens to saving, invest-
ment, the trade balance, the interest rate, and the
exchange rate?
5. If Germany has low inflation and Italy has high
inflation, what will happen to the exchange rate
between the German mark and the Italian lira?
PROBLEMS AND APPLICATIONS
1. Use the model of the small open economy to
predict what would happen to the trade balance,
the real exchange rate, and the nominal exchange
rate in response to each of the following events.
a. A fall in consumer confidence about the future
induces consumers to spend less and save
more.
b. The introduction of a stylish line of Toyotas
makes some consumers prefer foreign cars over
domestic cars.
c. The introduction of automatic teller machines
reduces the demand for money.
2. Consider an economy described by the following
equations:
Y = C + I + G + NX,
Y = 5,000,
G = 1,000,
T = 1,000,
C = 250 + 0.75(Y ? T ),
I = 1,000 ? 50r,
NX = 500 ? 500e,
r = r* = 5.
a. In this economy, solve for national saving, in-
vestment, the trade balance, and the equilib-
rium exchange rate.
b. Suppose now that G rises to 1,250. Solve for
national saving, investment, the trade balance,
and the equilibrium exchange rate. Explain
what you find.
c. Now suppose that the world interest rate rises
from 5 to 10 percent. (G is again 1,000). Solve
for national saving, investment, the trade bal-
ance, and the equilibrium exchange rate. Ex-
plain what you find.
3. The country of Leverett is a small open economy.
Suddenly, a change in world fashions makes the
exports of Leverett unpopular.
a. What happens in Leverett to saving, invest-
ment, net exports, the interest rate, and the ex-
change rate?
b. The citizens of Leverett like to travel abroad.
How will this change in the exchange rate af-
fect them?
c. The fiscal policymakers of Leverett want to
adjust taxes to maintain the exchange rate at
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its previous level. What should they do? If
they do this, what are the overall effects on
saving, investment, net exports, and the inter-
est rate?
4. What will happen to the trade balance and the
real exchange rate of a small open economy when
government purchases increase, such as during a
war? Does your answer depend on whether this is
a local war or a world war?
5. In 1995, President Clinton considered placing a
100-percent tariff on the import of Japanese lux-
ury cars. Discuss the economics and politics of
such a policy. In particular, how would the policy
affect the U.S. trade deficit? How would it affect
the exchange rate? Who would be hurt by such a
policy? Who would benefit?
6. Suppose that some foreign countries begin to
subsidize investment by instituting an investment
tax credit.
a. What happens to world investment demand as
a function of the world interest rate?
b. What happens to the world interest rate?
c. What happens to investment in our small open
economy?
d. What happens to our trade balance?
e. What happens to our real exchange rate?
144 | PART II Classical Theory: The Economy in the Long Run
7. “Traveling in Italy is much cheaper now than it
was ten years ago,’’ says a friend.“Ten years ago, a
dollar bought 1,000 lire; this year, a dollar buys
1,500 lire.’’
Is your friend right or wrong? Given that total
inflation over this period was 25 percent in the
United States and 100 percent in Italy, has it be-
come more or less expensive to travel in Italy?
Write your answer using a concrete example—
such as a cup of American coffee versus a cup of
Italian espresso—that will convince your friend.
8. You read in a newspaper that the nominal interest
rate is 12 percent per year in Canada and 8 per-
cent per year in the United States. Suppose that
the real interest rates are equalized in the two
countries and that purchasing-power parity
holds.
a. Using the Fisher equation (discussed in Chap-
ter 4), what can you infer about expected infla-
tion in Canada and in the United States?
b. What can you infer about the expected change
in the exchange rate between the Canadian
dollar and the U.S. dollar?
c. A friend proposes a get-rich-quick scheme:
borrow from a U.S. bank at 8 percent, deposit
the money in a Canadian bank at 12 percent,
and make a 4 percent profit. What’s wrong
with this scheme?
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CHAPTER 5 The Open Economy | 145
When analyzing policy for a country such as the United States, we need to com-
bine the closed-economy logic of Chapter 3 and the small-open-economy logic
of this chapter. This appendix presents a model of an economy between these
two extremes, called the large open economy.
Net Capital Outflow
The key difference between the small and large open economies is the behavior
of the net capital outflow. In the model of the small open economy, capital flows
freely into or out of the economy at a fixed world interest rate r*.The model of
the large open economy makes a different assumption about international capital
flows.To understand that assumption, keep in mind that the net capital outflow is
the amount that domestic investors lend abroad minus the amount that foreign
investors lend here.
Imagine that you are a domestic investor—such as the portfolio manager of a
university endowment—deciding where to invest your funds.You could invest
domestically (for example, by making loans to U.S. companies), or you could in-
vest abroad (by making loans to foreign companies). Many factors may affect
your decision, but surely one of them is the interest rate you can earn.The higher
the interest rate you can earn domestically, the less attractive you would find for-
eign investment.
Investors abroad face a similar decision.They have a choice between investing
in their home country or lending to someone in the United States.The higher
the interest rate in the United States, the more willing foreigners are to lend to
U.S. companies and to buy U.S. assets.
Thus, because of the behavior of both domestic and foreign investors, the net
flow of capital to other countries, which we’ll denote as CF, is negatively related
to the domestic real interest rate r. As the interest rate rises, less of our saving
flows abroad, and more funds for capital accumulation flow in from other coun-
tries.We write this as
CF = CF(r).
This equation states that the net capital outflow is a function of the domestic in-
terest rate.Figure 5-15 on page 146 illustrates this relationship.Notice that CF can
be either positive or negative, depending on whether the economy is a lender or
borrower in world financial markets.
To see how this CF function relates to our previous models, consider Figure
5-16 on page 146.This figure shows two special cases: a vertical CF function and
a horizontal CF function.
The Large Open Economy
APPENDIX
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The closed economy is the special case shown in panel (a) of Figure 5-16. In
the closed economy, there is no international borrowing or lending, and the in-
terest rate adjusts to equilibrate domestic saving and investment.This means that
CF = 0 at all interest rates.This situation would arise if investors here and abroad
were unwilling to hold foreign assets, regardless of the return. It might also arise
if the government prohibited its citizens from transacting in foreign financial
markets, as some governments do.
The small open economy with perfect capital mobility is the special case
shown in panel (b) of Figure 5-16. In this case, capital flows freely into and
out of the country at the fixed world interest rate r*. This situation would
arise if investors here and abroad bought whatever asset yielded the highest
146 | PART II Classical Theory: The Economy in the Long Run
figure 5-15
Real interest
rate, r
Net capital
outflow, CFLend to abroad
(CF > 0)
Borrow from
abroad (CF < 0)
0
How the Net Capital Outflow Depends on the
Interest Rate A higher domestic interest rate dis-
courages domestic investors from lending abroad
and encourages foreign investors to lend here.
Therefore, net capital outflow CF is negatively re-
lated to the interest rate.
figure 5-16
Real interest
rate, r
Real interest
rate, r
Net capital
outflow, CF
Net capital
outflow, CF
(a) The Closed Economy
(b) The Small Open Economy With
Perfect Capital Mobility
0
r*
0
Two Special Cases In the closed economy, shown in panel (a), the net capital out-
flow is zero for all interest rates. In the small open economy with perfect capital
mobility, shown in panel (b), the net capital outflow is perfectly elastic at the world
interest rate r*.
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return, and if this economy were too small to affect the world interest rate.
The economy’s interest rate would be fixed at the interest rate prevailing in
world financial markets.
Why isn’t the interest rate of a large open economy such as the United
States fixed by the world interest rate? There are two reasons.The first is that
the United States is large enough to influence world financial markets. The
more the United States lends abroad, the greater the supply of loans in the
world economy is, and the lower interest rates become around the world.
The more the United States borrows from abroad (that is, the more negative
CF becomes), the higher world interest rates are.We use the label “large open
economy” because this model applies to an economy large enough to affect
world interest rates.
There is, however, a second reason that the interest rate in an economy may
not be fixed by the world interest rate: capital may not be perfectly mobile.That
is, investors here and abroad may prefer to hold their wealth in domestic rather
than foreign assets. Such a preference for domestic assets could arise because of
imperfect information about foreign assets or because of government impedi-
ments to international borrowing and lending. In either case, funds for capital
accumulation will not flow freely to equalize interest rates in all countries. In-
stead, the net capital outflow will depend on domestic interest rates relative to
foreign interest rates. U.S. investors will lend abroad only if U.S. interest rates are
comparatively low, and foreign investors will lend in the United States only if
U.S. interest rates are comparatively high. The large-open-economy model,
therefore, may apply even to a small economy if capital does not flow freely into
and out of the economy.
Hence, either because the large open economy affects world interest rates, or
because capital is imperfectly mobile, or perhaps for both reasons, the CF func-
tion slopes downward. Except for this new downward-sloping CF function, the
model of the large open economy resembles the model of the small open econ-
omy.We put all the pieces together in the next section.
The Model
To understand how the large open economy works, we need to consider two key
markets: the market for loanable funds (where the interest rate is determined)
and the market for foreign exchange (where the exchange rate is determined).
The interest rate and the exchange rate are two prices that guide the allocation
of resources.
The Market for Loanable Funds An open economy’s saving S is used in two
ways: to finance domestic investment I and to finance the net capital outflow
CF.We can write
S = I + CF.
Consider how these three variables are determined. National saving is fixed
by the level of output, fiscal policy, and the consumption function. Investment
CHAPTER 5 The Open Economy | 147
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and net capital outflow both depend on the domestic real interest rate. We
can write
S
_
= I(r) + CF(r).
Figure 5-17 shows the market for loanable funds.The supply of loanable funds is
national saving.The demand for loanable funds is the sum of the demand for do-
mestic investment and the demand for foreign investment (net capital outflow).
The interest rate adjusts to equilibrate supply and demand.
The Market for Foreign Exchange Next, consider the relationship between
the net capital outflow and the trade balance. The national income accounts
identity tells us
NX = S ? I.
Because NX is a function of the real exchange rate, and because CF = S ? I,we
can write
NX(
e
) = CF.
Figure 5-18 shows the equilibrium in the market for foreign exchange. Once
again, the real exchange rate is the price that equilibrates the trade balance and
the net capital outflow.
148 | PART II Classical Theory: The Economy in the Long Run
figure 5-17
Real interest
rate, r
Loanable funds, S, I H11545 CF
S
I(r) H11001 CF(r)
Equilibrium
real interest
rate
The Market for Loanable Funds in the Large Open
Economy At the equilibrium interest rate, the sup-
ply of loanable funds from saving S balances the de-
mand for loanable funds from domestic investment
I and capital investments abroad CF.
figure 5-18
Real exchange
rate, e
Net exports, NX
Equilibrium
real exchange
rate
CF
NX(e)
The Market for Foreign-Currency Exchange in
the Large Open Economy At the equilibrium
exchange rate, the supply of dollars from the
net capital outflow, CF, balances the demand for
dollars from our net exports of goods and ser-
vices, NX.
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The last variable we should consider is the nominal exchange rate.As before,
the nominal exchange rate is the real exchange rate times the ratio of the price
levels:
e =
e
× (P*/P).
The real exchange rate is determined as in Figure 5-18, and the price levels are
determined by monetary policies here and abroad, as we discussed in Chapter 4.
Forces that move the real exchange rate or the price levels also move the nomi-
nal exchange rate.
Policies in the Large Open Economy
We can now consider how economic policies influence the large open economy.
Figure 5-19 shows the three diagrams we need for the analysis. Panel (a) shows
the equilibrium in the market for loanable funds; panel (b) shows the relationship
between the equilibrium interest rate and the net capital outflow; and panel (c)
shows the equilibrium in the market for foreign exchange.
Fiscal Policy at Home Consider the effects of expansionary fiscal policy—an
increase in government purchases or a decrease in taxes. Figure 5-20 shows what
CHAPTER 5 The Open Economy | 149
figure 5-19
Real interest
rate, r
Loanable funds, S, I H11545 CF Net capital outflow, CF
Real
exchange
rate, e
Net exports, NX
(a) The Market for Loanable Funds (b) Net Capital Outflow
(c) The Market for Foreign Exchange
NX(e)
CF
r
CF(r)
S
I H11001 CF
The Equilibrium in the Large Open
Economy Panel (a) shows that the
market for loanable funds determines
the equilibrium interest rate. Panel (b)
shows that the interest rate determines
the net capital outflow, which in turn
determines the supply of dollars to be
exchanged into foreign currency. Panel
(c) shows that the real exchange rate
adjusts to balance this supply of dol-
lars with the demand coming from net
exports.
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happens. The policy reduces national saving S, thereby reducing the supply of
loanable funds and raising the equilibrium interest rate r.The higher interest rate
reduces both domestic investment I and the net capital outflow CF.The fall in
the net capital outflow reduces the supply of dollars to be exchanged into foreign
currency.The exchange rate appreciates, and net exports fall.
Note that the impact of fiscal policy in this model combines its impact in the
closed economy and its impact in the small open economy. As in the closed
economy, a fiscal expansion in a large open economy raises the interest rate and
crowds out investment.As in the small open economy, a fiscal expansion causes a
trade deficit and an appreciation in the exchange rate.
One way to see how the three types of economy are related is to consider the
identity
S = I + NX.
In all three cases, expansionary fiscal policy reduces national saving S. In the
closed economy, the fall in S coincides with an equal fall in I, and NX stays con-
stant at zero. In the small open economy, the fall in S coincides with an equal fall
150 | PART II Classical Theory: The Economy in the Long Run
figure 5-20
Real interest
rate, r
r
2
r
1
Loanable funds, S, I H11545 CF Net capital
outflow, CF
Real
exchange
rate, e
Net exports, NX
r
2
r
1
(a) The Market for Loanable Funds (b) Net Capital Outflow
(c) The Market for Foreign Exchange
S
I H11001 CF
r
CF(r)
CF
2
CF
1
NX
2
e
2
e
1
NX
1
NX(e)
CF
2. . . .
raises the
interest
rate, . . .
1. A
fall in
saving . . .
3. . . . which
lowers net
capital
outflow, ...
4. . . .
raises the
exchange
rate, ...
5. . . . and
reduces
net exports.
A Reduction in National Saving in the
Large Open Economy Panel (a) shows
that a reduction in national saving low-
ers the supply of loanable funds. The
equilibrium interest rate rises. Panel (b)
shows that the higher interest rate low-
ers the net capital outflow. Panel (c)
shows that the reduced capital outflow
means a reduced supply of dollars in
the market for foreign-currency ex-
change. The reduced supply of dollars
causes the real exchange rate to appre-
ciate and net exports to fall.
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in NX, and I remains constant at the level fixed by the world interest rate.The
large open economy is the intermediate case: both I and NX fall, each by less
than the fall in S.
Shifts in Investment Demand Suppose that the investment demand schedule
shifts outward, perhaps because Congress passes an investment tax credit. Figure
5-21 shows the effect.The demand for loanable funds rises, raising the equilib-
rium interest rate.The higher interest rate reduces the net capital outflow:Amer-
icans make fewer loans abroad, and foreigners make more loans to Americans.
The fall in the net capital outflow reduces the supply of dollars in the market for
foreign exchange.The exchange rate appreciates, and net exports fall.
CHAPTER 5 The Open Economy | 151
figure 5-21
Real interest
rate, r
r
2
r
1
Real
exchange
rate, e
Net exports, NX
CF
2
CF
1
NX
2
e
2
e
1
NX
1
2. . . .
raises the
interest
rate, . . .
NX(e)
CF
r
CF(r)
S
I H11001 CF
r
2
r
1
4. . . .
raises the
exchange
rate, ...
3. . . . which
reduces net
capital
outflow, ...
5. . . . and
reduces
net exports.
(a) The Market for Loanable Funds (b) Net Capital Outflow
(c) The Market for Foreign Exchange
Loanable funds, S, I H11545 CF Net capital
outflow, CF
1. An
increase
in investment
demand . . .
An Increase in Investment Demand in
the Large Open Economy Panel (a)
shows that an increase in investment
demand raises the interest rate. Panel
(b) shows that the higher interest
rate lowers the net capital outflow.
Panel (c) shows that a lower capital
outflow causes the real exchange rate
to appreciate and net exports to fall.
Trade Policies Figure 5-22 shows the effect of a trade restriction, such as an
import quota.The reduced demand for imports shifts the net-exports schedule
outward in panel (c). Because nothing has changed in the market for loanable
funds, the interest rate remains the same, which in turn implies that the net capi-
tal outflow remains the same. The shift in the net-exports schedule causes the
exchange rate to appreciate. The rise in the exchange rate makes U.S. goods
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expensive relative to foreign goods, which depresses exports and stimulates im-
ports. In the end, the trade restriction does not affect the trade balance.
Shifts in Net Capital Outflow There are various reasons that the CF schedule
might shift. One reason is fiscal policy abroad. For example, suppose that Ger-
many pursues a fiscal policy that raises German saving. This policy reduces the
German interest rate.The lower German interest rate discourages American in-
vestors from lending in Germany and encourages German investors to lend in the
United States. For any given U.S. interest rate, the U.S. net capital outflow falls.
Another reason the CF schedule might shift is political instability abroad. Sup-
pose that a war or revolution breaks out in another country. Investors around the
world will try to withdraw their assets from that country and seek a “safe haven”
in a stable country such as the United States.The result is a reduction in the U.S.
net capital outflow.
Figure 5-23 shows the impact of a shift in the CF schedule.The reduced de-
mand for loanable funds lowers the equilibrium interest rate.The lower interest
152 | PART II Classical Theory: The Economy in the Long Run
figure 5-22
Real interest
rate, r
Net exports, NX
NX
2
NX
1
Loanable funds, S, I H11545 CF Net capital
outflow, CF
S
I H11001 CF
r
CF(r)
NX(e)
CF
e
2
e
1
Real
exchange
rate, e
(a) The Market for Loanable Funds (b) Net Capital Outflow
(c) The Market for Foreign Exchange
1. Protectionist
policies raise the
demand for net
exports, ...
3. . . . leaving
net exports
unchanged.
2. . . . which
increases
the exchange
rate, . . .
An Import Restriction in the Large
Open Economy An import restriction
raises the demand for net exports, as
shown in panel (c). The real exchange
rate appreciates, while the equilibrium
trade balance remains the same.
Nothing happens in the market for
loanable funds in panel (a) or to the
net capital outflow in panel (b).
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rate tends to raise net capital outflow, but because this only partly mitigates the
shift in the CF schedule, CF still falls.The reduced level of net capital outflow re-
duces the supply of dollars in the market for foreign exchange.The exchange rate
appreciates, and net exports fall.
Conclusion
How different are large and small open economies? Certainly, policies affect the
interest rate in a large open economy, unlike in a small open economy. But, in
other ways, the two models yield similar conclusions. In both large and small
open economies, policies that raise saving or lower investment lead to trade sur-
pluses. Similarly, policies that lower saving or raise investment lead to trade
deficits. In both economies, protectionist trade policies cause the exchange rate
to appreciate and do not influence the trade balance. Because the results are so
similar, for most questions one can use the simpler model of the small open
economy, even if the economy being examined is not really small.
CHAPTER 5 The Open Economy | 153
figure 5-23
Real interest
rate, r
Real
exchange
rate, e
Net exports, NX
CF
2
CF
1
NX
2
e
2
e
1
NX
1
2. . . .
causes the
interest
rate to
fall, . . .
3. . . . the
exchange
rate to
rise, ...
S
I H11001 CF
r
CF(r)
NX(e)
CF
Net capital
outflow, CF
Loanable funds, S, I H11545 CF
r
1
r
2
4. . . . and
net exports
to fall.
e
2
e
1
(a) The Market for Loanable Funds (b) Net Capital Outflow
(c) The Market for Foreign Exchange
1. A fall in net
capital outflow . . .
A Fall in the Net Capital Outflow in the
Large Open Economy Panel (a) shows
that a downward shift in the CF sched-
ule reduces the demand for loans and
thereby reduces the equilibrium inter-
est rate. Panel (b) shows that the level
of the net capital outflow falls. Panel
(c) shows that the real exchange rate
appreciates, and net exports fall.
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154 | PART II Classical Theory: The Economy in the Long Run
1. If a war broke out abroad, it would affect the U.S.
economy in many ways. Use the model of the
large open economy to examine each of the fol-
lowing effects of such a war.What happens in the
United States to saving, investment, the trade bal-
ance, the interest rate, and the exchange rate? (To
keep things simple, consider each of the following
effects separately.)
a. The U.S. government, fearing it may need to
enter the war, increases its purchases of military
equipment.
b. Other countries raise their demand for high-
tech weapons, a major export of the United
States.
c. The war makes U.S. firms uncertain about the
future, and the firms delay some investment
projects.
d. The war makes U.S. consumers uncertain
about the future, and the consumers save more
in response.
MORE PROBLEMS AND APPLICATIONS
e. Americans become apprehensive about travel-
ing abroad, so more of them spend their vaca-
tions in the United States.
f. Foreign investors seek a safe haven for their
portfolios in the United States.
2. On September 21, 1995, “House Speaker Newt
Gingrich threatened to send the United States
into default on its debt for the first time in the
nation’s history, to force the Clinton Administra-
tion to balance the budget on Republican terms”
(New York Times, September 22, 1995, A1). That
same day, the interest rate on 30-year U.S. gov-
ernment bonds rose from 6.46 to 6.55 percent,
and the dollar fell in value from 102.7 to 99.0
yen. Use the model of the large open economy to
explain this event.