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More specifically, in an open economy (an economy with foreign trade and capital flows), private saving plus governmental saving (the government budget surplus or the negative of the deficit) plus foreign investment domestically (capital inflows from abroad) must equal private physical investment. [1]
The national income identity can be rewritten as following: [2] + = where T is defined as tax. (Y-T-C) is savings of private sector and (T-G) is savings of government. Here, we define S as National savings (= savings of private sector + savings of government) and rewrite the identity as following:
(Y − T + TR) is disposable income whereas (Y − T + TR − C) is private saving. Public saving, also known as the budget surplus, is the term (T − G − TR), which is government revenue through taxes, minus government expenditures on goods and services, minus transfers. Thus we have that private plus public saving equals investment.
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Restated, consumption expenditure plus savings equals disposable income [3] after accounting for transfers such as payments to children in school or elderly parents' living and care arrangements. [4] The marginal propensity to consume (MPC) is the fraction of a change in disposable income that is consumed. For example, if disposable income ...
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Private sector: A surplus balance means U.S. households and businesses together are net savers, building their financial asset position. In other words, savings by households exceed the amount borrowed and invested by businesses. There is a net inflow of money into the private sector. The private sector had a 4.4% GDP surplus in 2019. [3]