According to the fundamental identity of national income accounting, GDP = GNP – NEP. S = (Y + NFP – I+ TR+ INT) – C. O Y = C+I+G + NX. total production = total income = total expenditure.
The correct answer and explanation is :
To clarify and correct the equations and relationships in national income accounting:
Correct Identities:
- GDP and GNP:
[
\text{GNP} = \text{GDP} + \text{NFP}
]
or equivalently:
[
\text{GDP} = \text{GNP} – \text{NFP}
]
where NFP is Net Factor Payments from abroad (income residents earn from abroad minus what foreigners earn domestically). In your original expression, NEP seems to be a typo for NFP. - Savings (S):
National saving is:
[
S = Y – C – G
]
where:
- Y = National income (or GNP)
- C = Consumption
- G = Government spending If we include taxes (T), transfers (TR), and interest payments (INT), we can split savings into private and public components:
- Private saving: ( S_p = Y + NFP + TR + INT – T – C )
- Government saving: ( S_g = T – G – TR – INT )
- Output Identity (Expenditure Approach):
[
Y = C + I + G + NX
]
where:
- C = Consumption
- I = Investment
- G = Government Expenditure
- NX = Net Exports (Exports – Imports)
300-Word Explanation:
National income accounting provides a framework to understand a country’s economic performance by measuring the total production, income, and expenditure. The three most important identities in this system are the expenditure identity, saving identity, and the relationship between GDP and GNP.
The Gross Domestic Product (GDP) measures the value of all goods and services produced within a country’s borders. However, it doesn’t include income earned abroad by residents. To account for this, we use Gross National Product (GNP), which equals GDP plus Net Factor Payments from abroad (NFP). If a country’s residents earn more abroad than foreigners earn domestically, GNP will exceed GDP.
The expenditure identity, ( Y = C + I + G + NX ), states that total output (Y) is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). This equation reflects the demand side of the economy.
The saving identity explains how national saving (S) relates to output and expenditure. National saving is what’s left of national income (Y) after consumption (C) and government purchases (G). It can be broken into private and public saving, depending on households’ and governments’ budget surpluses or deficits.
Importantly, total production = total income = total expenditure is a core principle of national income accounting. Every dollar spent on a good is income for someone else, meaning that the economy’s output, the income generated, and the total spending are all equal by definition.
These identities are foundational for analyzing economic policy, fiscal deficits, foreign trade balances, and the sources of economic growth.
