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Errr.... no, government spending isn't counted twice in AD or GDP.I've also got a problem with "Aggregate Demand" since it counts government spending twice. It's counted directly one time and then it's also counted as a function of Consumption.
Aggregate Demand (AD) = C + I + G + (X-M)
C = Consumers' expenditures on goods and services. I = Investment spending by companies on capital goods. G = Government expenditures on publicly provided goods and services. X = Exports of goods and services. M = Imports of goods and services. (Aggregate Demand Definition | Investopedia)
GDP = C + G + I + NX
where:
"C" is equal to all private consumption, or consumer spending, in a nation's economy; "G" is the sum of government spending; "I" is the sum of all the country's businesses spending on capital; "NX" is the nation's total net exports, calculated as total exports minus total imports. (NX = Exports - Imports) (Gross Domestic Product (GDP) Definition | Investopedia)
C = Consumers' expenditures on goods and services. I = Investment spending by companies on capital goods. G = Government expenditures on publicly provided goods and services. X = Exports of goods and services. M = Imports of goods and services. (Aggregate Demand Definition | Investopedia)
GDP = C + G + I + NX
where:
"C" is equal to all private consumption, or consumer spending, in a nation's economy; "G" is the sum of government spending; "I" is the sum of all the country's businesses spending on capital; "NX" is the nation's total net exports, calculated as total exports minus total imports. (NX = Exports - Imports) (Gross Domestic Product (GDP) Definition | Investopedia)