Formula

Equilibrium Output Equation using the Multiplier (k)

The equilibrium output equation, Y=k(c0+I)Y = k(c_0 + I), expresses the relationship where equilibrium output (Y) is the product of total autonomous demand (c0+I)(c_0 + I) and the multiplier factor (k)(k). In the simplified model with only consumption and investment, the multiplier is defined as k=11c1k = \frac{1}{1-c_1}. While the specific formula for kk varies in more complex models, it consistently represents the factor by which output changes in response to a change in autonomous demand.

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Updated 2026-01-15

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