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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.
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
This equation implies that if Y rises by 10, then net investment will equal 10×2 = 20, as suggested by the accelerator effect. If Y then rises by only 5, the equation implies that the level of investment will be 5×2 = 10. This means that the simple accelerator model implies that fixed investment will fall if the growth of production slows.
The multiplier–accelerator model can be stated for a closed economy as follows: [3] First, the market-clearing level of economic activity is defined as that at which production exactly matches the total of government spending intentions, households' consumption intentions and firms' investing intentions.
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 money multiplier is normally presented in the context of some simple accounting identities: [1] [2] Usually, the money supply (M) is defined as consisting of two components: (physical) currency (C) and deposit accounts (D) held by the general public. By definition, therefore: = +.
In some economics textbooks, the supply-demand equilibrium in the markets for money and reserves is represented by a simple so-called money multiplier relationship between the monetary base of the central bank and the resulting money supply including commercial bank deposits. This is a short-hand simplification which disregards several other ...
The Keynesian cross diagram is a formulation of the central ideas in Keynes' General Theory of Employment, Interest and Money.It first appeared as a central component of macroeconomic theory as it was taught by Paul Samuelson in his textbook, Economics: An Introductory Analysis.