Activity (Process)

Derivation of the Aggregate Demand Function in the Simplified Model

Deriving the aggregate demand (AD) function involves defining its relationship with the level of aggregate output (Y). The process begins with the fundamental identity in a simple closed economy where aggregate demand is the sum of consumption (C) and investment (I): AD=C+IAD = C + I By substituting the linear consumption function, C=c0+c1YC = c_0 + c_1Y, into this identity, the AD function is fully specified as: AD=c0+c1Y+IAD = c_0 + c_1Y + I This equation expresses total planned spending as a function of both autonomous expenditures (c0c_0 and II) and consumption that is induced by income (c1Yc_1Y).

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Updated 2026-01-15

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