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Category Macroeconomics

Country A

Country B

Good 1

Good 2

Labor hrs/unit	Good 1	Good 2
Country A
Country B

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About

Miscalculating opportunity cost leads to suboptimal trade policy. A country that fails to identify its comparative advantage may allocate labor to goods it produces relatively inefficiently, forfeiting gains from trade. This calculator implements David Ricardo's classical model: given labor requirements L per unit of two goods across two countries, it computes each country's opportunity cost OC, determines absolute and comparative advantage, and derives the mutually beneficial terms-of-trade range. The model assumes constant returns to scale, homogeneous labor, and no transport costs.

Inputs are expressed as labor hours required to produce one unit of each good. A lower value means higher productivity. Note: the Ricardian framework breaks down when one country has identical opportunity costs for both goods relative to the other. In that degenerate case no comparative advantage exists and the calculator will report accordingly. Real-world application requires adjusting for multiple factors of production (Heckscher-Ohlin) and non-constant costs.

Formulas

The opportunity cost of producing Good 1 in Country A is computed as the ratio of labor hours:

OC_A,1 = L_A,1L_A,2

Symmetrically for Country B and for Good 2. Country A has a comparative advantage in Good 1 when:

OC_A,1 < OC_B,1

Absolute advantage exists when one country requires fewer labor hours per unit:

L_A,1 < L_B,1 ⇒ Country A has absolute advantage in Good 1

The mutually beneficial terms of trade for Good 1 (expressed in units of Good 2 per unit of Good 1) lie between:

min(OC_A,1, OC_B,1) < ToT < max(OC_A,1, OC_B,1)

Where L_A,1 = labor hours Country A needs per unit of Good 1, OC_A,1 = opportunity cost of Good 1 for Country A (in units of Good 2 forgone), ToT = terms of trade (exchange ratio).

Reference Data

Classic Example	Country A	Country B	Good 1	Good 2	A: Hrs/Good 1	A: Hrs/Good 2	B: Hrs/Good 1	B: Hrs/Good 2	A Advantage In	B Advantage In
Ricardo (1817)	England	Portugal	Cloth	Wine	100	120	90	80	Cloth	Wine
Textbook Standard	US	Japan	Cars	Computers	8	4	6	2	Computers	Cars
Agricultural vs Industrial	Brazil	Germany	Soybeans	Machinery	2	10	5	4	Soybeans	Machinery
Developing vs Developed	Vietnam	South Korea	Textiles	Electronics	3	15	6	5	Textiles	Electronics
Equal Productivity	Canada	Australia	Timber	Wool	4	6	8	3	Timber	Wool
Services Economy	India	UK	Software	Finance	5	12	10	6	Software	Finance
Resource Intensive	Saudi Arabia	Norway	Oil	Fish	1	8	3	2	Oil	Fish
No Comp. Advantage	Alpha	Beta	Good X	Good Y	4	8	2	4	None (equal OC)
Extreme Disparity	Country M	Country N	Wheat	Steel	1	20	10	5	Wheat	Steel
Absolute in Both	China	Mexico	Toys	Avocados	2	6	5	10	Avocados	Toys
Symmetric Case	France	Italy	Cheese	Wine	3	5	5	3	Cheese	Wine
Large vs Small	US	Costa Rica	Microchips	Coffee	4	12	20	2	Microchips	Coffee

Frequently Asked Questions

Absolute advantage in both goods does not eliminate comparative advantage. Ricardo's key insight is that trade gains depend on relative (opportunity) cost, not absolute productivity. Even if Country A produces both goods with fewer labor hours, it should specialize in the good where its opportunity cost is lowest. The calculator correctly identifies comparative advantage in this scenario by comparing OC ratios, not absolute labor values.

No comparative advantage exists when both countries have identical opportunity costs for both goods. Mathematically, this occurs when L(A,1)/L(A,2) equals L(B,1)/L(B,2). In that degenerate case, neither country benefits from specialization under the Ricardian model. The calculator detects this condition by checking if the OC values are equal (within floating-point tolerance of 0.0001) and reports it explicitly.

Both input formats are valid and produce equivalent results. This calculator uses labor hours per unit (input requirement) because it directly represents cost. A higher number means the good is more expensive to produce. The opportunity cost formula OC = L₁/L₂ then gives units of Good 2 forgone per unit of Good 1 produced. If using output per hour, the OC formula inverts to OC = Output₂/Output₁.

The terms-of-trade range defines the set of exchange ratios where both countries benefit. Any ratio between the two countries' opportunity costs makes both better off than autarky. The closer the actual terms of trade are to a country's own opportunity cost, the smaller that country's gains. In practice, the equilibrium terms of trade depend on relative demand, which the Ricardian model does not specify. The calculator provides the full feasible range.

No. The Ricardian model implemented here assumes exactly two countries, two goods, and one factor of production (labor). For multiple goods, a chain of comparative advantage ordered by relative labor productivity applies. For multiple factors, the Heckscher-Ohlin model is more appropriate. This calculator is designed for the standard 2×2 framework used in introductory and intermediate trade theory.

A proportional improvement in both goods for one country (e.g., halving all labor requirements) changes absolute advantage but leaves opportunity costs unchanged. Comparative advantage shifts only when productivity changes are asymmetric across goods. For example, if Country A improves its Good 1 productivity by 50% but Good 2 stays constant, its OC for Good 1 drops, potentially shifting or reinforcing its comparative advantage in Good 1.