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The Global Insight

What is the equation for the national saving and investment identity?

Author

James Olson

Updated on February 22, 2026

Write out the national savings and investment identity for the situation of the economy implied by this question: Supply of capital = Demand for capitalS + (M – X) + (T – G) = I Savings + (trade deficit) + (government budget surplus)=Investment If domestic savings increases and nothing else changes, then the trade …

What are the main components of the national savings and investment identity?

This national savings and investment identity can be expressed in algebraic terms:

  • Supply of financial capital = Demand for financial capitalS + (M – X) = I + (G – T)
  • Trade deficit = Domestic investment – Private domestic saving – Government (or public) savings(M – X) = I – S – (T – G)

What is the formula for national saving?

The national savings rate is the GDP that is saved rather than spent in an economy. It is calculated as the difference between a nation’s income and consumption divided by income.

What happens if national saving increases?

If domestic savings increases and nothing else changes, then the trade deficit will fall. In effect, the economy would be relying more on domestic capital and less on foreign capital. A trade deficit is determined by a country’s level of private and public savings and the amount of domestic investment.

Is national saving equal to investment?

A fundamental macroeconomic accounting identity is that saving equals investment. By definition, saving is income minus spending. Investment refers to physical investment, not financial investment. That saving equals investment follows from the national income equals national product identity.

How do you calculate investment spending?

To calculate investment spending in macro economics the GDP formula is used which states that total output/GDP (Y) is equal to Consumption (C) + Investment (I) + Government Spending (G) + Net exports (NX).

How is the National Savings and investment identity expressed?

This national savings and investment identity can be expressed in algebraic terms: Again, in this equation, S is private savings, T is taxes, G is government spending, M is imports, X is exports, and I is investment.

How is the equality of saving and investment calculated?

However, there is some unique level (equilibrium level) of national income at which savings calculated from the saving schedule are equal to investment calculated from the investment schedule. This is known as the functional equality of saving and investment and this is shown in the table and diagram as follows.

What is the relationship between saving and investment?

Again, in this equation, S is private savings, T is taxes, G is government spending, M is imports, X is exports, and I is investment. This relationship is true as a matter of definition because, for the macro economy, the quantity supplied of financial capital must be equal to the quantity demanded.

Is the saving investment balance equal to the current account?

In economics, saving-investment balance or I-S balance is a balance of national savings and national investment, which is equal to current account. This relationship is obtained from the national income identity. This is the national income identity: