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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 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: = +.
This is the same as the formula for Kahn's multiplier in a closed economy assuming that all saving (including the purchase of durable goods), and not just hoarding, constitutes leakage. Keynes gave his formula almost the status of a definition (it is put forward in advance of any explanation [72]). His multiplier is indeed the value of "the ...
This implies that the Keynesian multiplier should be larger in response to permanent changes in income than it is in response to temporary changes in income (though the earliest Keynesian analyses ignored these subtleties). However, the distinction between permanent and temporary changes in income is often subtle in practice, and it is often ...
The simplistic multiplier that is the reciprocal of the marginal propensity to save is a special case used for illustrative purposes only. The multiplier applies to any change in autonomous expenditure , in other words, an externally induced change in consumption , investment, government expenditure or net exports .
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
The multipliers showed that any form of increased government spending would have more of a multiplier effect than any form of tax cuts. The most effective policy, a temporary increase in food stamps, had an estimated multiplier of 1.73. The lowest multiplier for a spending increase was general aid to state governments, 1.36.
The multiplier effect of an increase in fixed investment resulting from a lower interest rate raises real GDP. This explains the downward slope of the IS curve. In summary, the IS curve shows the causation from interest rates to planned fixed investment to rising national income and output. The IS curve is defined by the equation