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In macroeconomics, a multiplier is a factor of proportionality that measures how much an endogenous variable changes in response to a change in some exogenous variable. For example, suppose variable x changes by k units, which causes another variable y to change by M × k units. Then the multiplier is M.
This is known as the Cambridge equation, a variant of the quantity theory. As the coefficient k is the reciprocal of V, the income velocity of circulation of money in the equation of exchange, the two versions of the quantity theory are formally equivalent, though the Cambridge variant focuses on money demand as an important element of the theory.
This is the central contents of the money multiplier theory, and + / / + / is the money multiplier, [1] [2] a multiplier being a factor that measures how much an endogenous variable (in this case, the money supply) changes in response to a change in some exogenous variable (in this case, the money base).
However, the size of this multiplier effect is likely to be diminished by two considerations: first, an upward push that the new spending gives to interest rates, which diminishes spending on goods such as physical capital and consumer durables; and second, an upward push that the spending gives to the general price level, which diminishes the ...
In monetary economics, the equation of exchange is the relation: = where, for a given period, is the total money supply in circulation on average in an economy. is the velocity of money, that is the average frequency with which a unit of money is spent.
In economics, the marginal propensity to consume (MPC) is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending (consumption) occurs with an increase in disposable income (income after taxes and transfers). The proportion of disposable income which individuals spend on consumption is known as ...
In economics, the consumption function describes a relationship between consumption and disposable income. [ 1 ] [ 2 ] The concept is believed to have been introduced into macroeconomics by John Maynard Keynes in 1936, who used it to develop the notion of a government spending multiplier .
The costate equation is related to the state equation used in optimal control. [ 1 ] [ 2 ] It is also referred to as auxiliary , adjoint , influence , or multiplier equation . It is stated as a vector of first order differential equations