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Assume that production is a function of capital investment: ''Y = f(K)'' Assume that production is a [[Economics/CobbDouglasProductionFunction|Cobb-Douglas function]] of capital investment: ''Y = f(K)''
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This model was a foundation of the [[Economics/SolowModel|Solow model]]. This model was a foundation of the [[Economics/SolowSwanModel|Solow-Swan model]].

Harrod-Domar Model

The Harrod-Domar model is an early economics model of national production.


Formulation

Assume that production is a Cobb-Douglas function of capital investment: Y = f(K)

Also assume that the marginal product of capital is constant: expressed as either...

  • dY/dK = c

  • Y = cK

Investment into capital over any period (ΔK) is composed of new savings from prior production (s saving rate; sY) less a depreciation term (δ depreciation rate; δK).

It follows that the growth rate of production is equal to sc - δ.


History

This model was formulated first in Domar's Capital Expansion, Rate of Growth, and Employment.

It has been implemented as a predictive model for how much investment is required in order to achieve a target GDP growth rate.

This model was a foundation of the Solow-Swan model.


CategoryRicottone

Economics/HarrodDomarModel (last edited 2025-05-09 20:13:22 by DominicRicottone)