Formula

National Income Identity in a Closed Economy without Government

In a simplified macroeconomic model of a closed, private economy (no government or foreign trade), aggregate output or income (Y) is definitionally identical to Gross Domestic Product (GDP). The national income identity for this model is expressed as: YC+I+IIY \equiv C + I + II. In this formula, C represents consumption, I is planned fixed investment, and II is inventory investment. This relationship is an identity, meaning it is always true by definition, because total output (Y) must account for both planned spending (C + I) and any unplanned changes in inventories (II).

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Updated 2026-05-02

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