Metzler Paradox: When a Tariff Makes Imports Cheaper

 

In international trade theory, a tariff is generally expected to increase the domestic price of an imported good. However, the Metzler Paradox describes a surprising situation in which an import tariff may actually reduce the domestic relative price of imports.

The paradox is associated with economist Lloyd A. Metzler and was discussed in his 1949 work on tariffs, terms of trade, and the distribution of national income.

What Is a Tariff?

A tariff is a tax imposed by a government on imported goods. Governments may use tariffs to:

• Protect domestic industries.
• Generate tax revenue.
• Reduce imports.
• Support domestic employment.
• Respond to unfair trade practices.
• Improve the country’s terms of trade.

For a small country, a tariff normally increases the domestic price of imports by approximately the amount of the tariff because the country cannot influence the international price.

Meaning of the Metzler Paradox

The Metzler Paradox occurs when an import tariff imposed by a large country causes the foreign export price to fall by more than the tariff itself. As a result, the final domestic price of the imported good decreases.

In simple terms:

A tariff intended to make imports expensive may, under special conditions, make them cheaper in the importing country.

This outcome is possible because a large importing country can influence world prices by reducing its demand for imports.

Terms of Trade

The terms of trade measure the relationship between a country’s export prices and import prices:

$$\text{Terms of Trade}=\frac{\text{Price of Exports}}{\text{Price of Imports}}\times 100$$

An improvement in the terms of trade means that a country can obtain more imports for a given quantity of exports.

When a large country imposes a tariff, its demand for imports may decrease. Foreign exporters then face lower demand and may reduce their prices to retain access to the market. This improves the importing country’s terms of trade.

How the Paradox Works

Assume Country A imports a product from Country B.

Before the tariff:

• Foreign export price: ₹100.
• Tariff: ₹0.
• Domestic import price: ₹100.

Now suppose Country A imposes a tariff of ₹20.

Ordinary tariff effect

If the foreign export price remains unchanged:

• Foreign price: ₹100.
• Tariff: ₹20.
• Domestic price: ₹120.

This is the normal result.

Metzler effect

Suppose foreign exporters reduce their price to ₹75 because demand from Country A falls.

• Foreign export price: ₹75.
• Tariff: ₹20.
• Domestic price: ₹95.

The domestic price falls from ₹100 to ₹95 even though a tariff has been imposed.

Situation	Foreign price	Tariff	Domestic price
Before tariff	₹100	₹0	₹100
Normal tariff effect	₹100	₹20	₹120
Metzler effect	₹75	₹20	₹95

The paradox occurs because the foreign price reduction of ₹25 is greater than the tariff of ₹20.

Main Mechanisms

1. Tariff effect

The tariff directly increases the price paid by importers.

2. Terms-of-trade effect

Lower import demand causes foreign exporters to reduce their prices. This benefits the importing country.

3. Net price effect

If the foreign price reduction exceeds the tariff, the domestic price of the imported good falls.

The necessary condition can be written as

 Foreign price reduction>Tariff

Conditions Required

The Metzler Paradox is a theoretical possibility and generally requires special conditions:

• The importing country must be large enough to influence international prices.
• Foreign export supply must be relatively inelastic.
• Foreign exporters must depend heavily on the importing country’s market.
• Import demand must fall significantly after the tariff is imposed.
• Alternative markets for foreign suppliers must be limited.
• The improvement in the terms of trade must be greater than the tariff effect.

If the importing country is small, its tariff normally does not change the world price. Therefore, the paradox is unlikely to occur.

Consumer and Producer Effects

Consumers

Consumers may benefit from a lower domestic price of imports. This is opposite to the ordinary effect of a tariff.

Domestic producers

Domestic import-competing firms may not receive the expected protection because the price of imported goods has fallen.

Government

The government receives tariff revenue, but imports may decline. Total revenue depends on the tariff rate and the quantity imported.

Foreign exporters

Foreign exporters bear part of the tariff burden by reducing their prices. In this case, the tariff is partly shifted onto foreign producers.

Metzler Paradox and Stolper–Samuelson Theory

The Stolper–Samuelson theorem suggests that a tariff raises the relative price of the import-competing good. This increases the real return to the factor used intensively in producing that good.

The Metzler Paradox can reverse this result. If the terms-of-trade improvement is sufficiently large, the domestic relative price of the importable good may fall despite the tariff. Therefore, the expected effects on income distribution may also change.

Why It Is Rare in Practice

The paradox is important for theory, but it is not commonly observed in its pure form. Several factors limit its practical relevance:

• Foreign exporters may sell their products in other markets.
• International supply chains may allow firms to change suppliers.
• Trading partners may retaliate with their own tariffs.
• Exchange-rate movements may offset price changes.
• Consumers may switch to substitute products.
• Tariffs on imported inputs may increase production costs.
• Firms may absorb part of the tariff rather than reduce export prices.
• Global markets may be too competitive for one country to impose a large price reduction on foreign suppliers.

Consequently, a tariff may be shared between consumers, domestic firms, foreign exporters, and governments.

Contemporary Relevance

The Metzler Paradox remains relevant in debates over tariffs imposed by large economies. A major importing country may attempt to use its market power to force foreign firms to reduce export prices.

This possibility is stronger when:

• The importing country has a very large market.
• Foreign suppliers compete intensely for access.
• The imported product has few alternative buyers.
• Foreign supply cannot adjust quickly.
• Retaliation is limited.

However, the long-term outcome depends on trade retaliation, supply-chain relocation, exchange rates, investment decisions, and international relations.

A tariff may initially lower the price charged by foreign exporters but later increase costs because firms find alternative markets, reduce production, or shift operations.

A Simple Example

Suppose a large country imports a machine component at ₹1,000 and imposes a 10% tariff.

• Initial foreign price: ₹1,000.
• Tariff: ₹100.
• Foreign exporter reduces price by ₹150.
• New foreign price: ₹850.
• Final domestic price: ₹850 + ₹100 = ₹950.

The tariff is ₹100, but the foreign price has fallen by ₹150. Therefore, the domestic price decreases from ₹1,000 to ₹950.

This is the logic of the Metzler Paradox.

Difference Between Ordinary Tariff and Metzler Paradox

Ordinary tariff effect	Metzler Paradox
Import price rises domestically.	Import price falls domestically.
World price remains unchanged	Foreign export price declines
Common for a small country	Requires a large country with market power
Domestic producers receive greater price protection.	Domestic protection may weaken
Consumers generally lose from higher prices	Consumers may benefit from lower prices

Conclusion

The Metzler Paradox challenges the conventional belief that an import tariff must increase the domestic price of an imported product. Under special conditions, a large country can use its market power to reduce the foreign export price by more than the tariff. The final domestic price may therefore fall.

The paradox highlights the importance of terms of trade, market size, demand and supply elasticities, foreign competition, and international retaliation.

However, policymakers should not assume that tariffs automatically create economic benefits. Even when a tariff produces a favorable terms-of-trade effect, it may also cause retaliation, supply-chain disruption, inefficiency, inflation, and weaker international cooperation.

The central lesson is

A tariff is not merely a domestic tax; for a large country, it can also change international prices and redistribute the burden between domestic consumers, domestic producers, and foreign exporters.

References

• Metzler, L. A. (1949). “Tariffs, the Terms of Trade, and the Distribution of National Income.”

• Krugman, P. R., Obstfeld, M., & Melitz, M. J. International Economics: Theory and Policy.

• Feenstra, R. C. Advanced International Trade: Theory and Evidence.

• Johnson, H. G. Discussions on tariffs, terms of trade, and the Lerner and Metzler cases.