WHAT IS THE MARSHALL-LERNER CONDITION?

WHAT IS THE MARSHALL-LERNER CONDITION?
Cedric Chehab
09 Nov, 2013
Definition: How changes in the exchange rate may affect a country’s current account (CA) balance, which
is made up primarily of imports and exports.
In other words: How the depreciation or appreciation of a country’s currency improves or lessens the CA
balance, which is dependent on the elasticity of net exports with respect to the real exchange rate
Why is this important? This condition helps us to understand how a country is impacted by a change in
exchange rates.
Marshall-Lerner Condition
Remember, the CA measures the balance of trade in goods and services in a country. So, if a country’s
currency depreciates (loses value), foreigners are more likely to import that country’s goods because to
them those goods are cheaper, so the CA balance increases (check out the section on exchange rates if
this is confusing). While this is generally the case, the Marshall-Lerner condition (MLC) proves that this is
not always what happens.
Elasticity
The assumption that a depreciation of a currency will increase imports and decrease exports is dependent
on the response of export and import volumes to real exchange rate changes. In other words, the effect of
a depreciation or appreciation of a country’s currency on the CA balance is contingent on two things: the
responsiveness of consumers within the nation who are importing goods and the foreign consumers of that
country’s exported goods.
We’re talking about the responsiveness of consumers, which means we’re referring to price elasticity of
demand, which is the degree to which demand of a good is affected by its price (EDP = % change in QD /
% change in P). When a currency depreciates, the goods are cheaper relative to foreign goods so the
effect on demand is the same as if the price had dropped. In this case, it is the price elasticity of the
demand for net export, which can be written as EDPNX.
If the price elasticity of demand for net exports (EDPNX) > 1, then a depreciation of the currency will
improve of the CA balance of that country, which is what we would expect.
On the other hand, if EDPNX < 1, then a depreciation of the currency would lessen the CA balance for that
country. So if demand for net exports is inelastic, then if the currency loses value, the net exports won’t
increase. This makes sense if we remember what we know about elasticities. If demand for a good is
inelastic (or insensitive to price changes), lowering the price won’t get the producers more income
because quantity sold won’t increase enough to compensate for the reduction in price. When a currency
depreciates, it is like the price went down to consumers in foreign countries.
Economics > International Economics > Marshall-Lerner Condition
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WHAT IS THE MARSHALL-LERNER CONDITION?
Cedric Chehab
09 Nov, 2013
Here's an example: Let’s look at dollars and Japanese yen. Let’s say Japan has consuming more American
goods than America has been consuming Japanese goods. In order to buy more U.S. goods, Japanese
households must exchange their yen for dollars. As a result, there are more yen in the U.S. So, the supply
of Japanese yen increase, shifting the supply line down and right, lowering the price in dollars for yen so
increasing the amount of yen demanded. In other words, the yen depreciates against the dollar. More yen
are demanded because cheaper yen means Japanese goods are cheaper.
Now remember that the CA is comprised of net exports. So a decrease in the price of the Yen will decrease
the price of net exports and increase the quantity of goods exported:
Economics > International Economics > Marshall-Lerner Condition
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WHAT IS THE MARSHALL-LERNER CONDITION?
Cedric Chehab
09 Nov, 2013
The demand curve in this graph represents foreign consumers of Japanese goods and Japanese consumers
of foreign goods, or net exports. We can see that as prices decrease (from P1 to P2) foreign demand for
Japanese goods increases (because the goods are now cheaper relative to U.S. goods) and Japanese
demand for foreign goods decreases (because U.S. goods are now more expensive to the Japanese)
leading to an overall increase in quantity of net exports.
But we want to look at the total revenue of net exports, not just quantity. This depends on the elasticity of
demand for net exports. If net exports is elastic, the change in price will be less than the change in
quantity sold. In other words, if the % change in quantity is larger than the % change in price, then EDPNX
is greater than 1, or elastic. If this is the case, a depreciation in the currency will lead to an increase in the
CA balance.
In order for the MLC to be met, the % change in quantity demand must be greater than the % change in
price, which will lead to an increase in total revenue and an improvement of the CA balance.
On the other hand, if EDPNX is less than 1, or inelastic, the % change in price would be greater than the %
change in quantity demanded of NX. In this case, a depreciation in the currency would lead to a decrease
in total revenues of NX and a worsening of the CA balance. Thus, the MLC is not met.
We know from studying elasticities in earlier econ courses, that the elasticity of a demand curve changes
as you move down the curve. The upper portion of the demand curve tends to be elastic while the lower
portion tends to be inelastic.
Economics > International Economics > Marshall-Lerner Condition
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WHAT IS THE MARSHALL-LERNER CONDITION?
Cedric Chehab
09 Nov, 2013
Therefore, the initial drop in price of the currency (P1 to P2) will lead to an increase in Total
Revenue from Net Exports (TRNX) however as the price keeps dropping and we keep moving
down the demand curve, say from P4 to P5, the curve will become inelastic, leading to a
decrease in TRNX.
Economics > International Economics > Marshall-Lerner Condition
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