Macroeconomic model reference

Harrod-Domar Growth Model

The warranted gross growth rate equals the savings rate divided by the capital-output ratio, g = s/v; with depreciation, net warranted growth is g = s/v - delta. A higher savings rate finances faster capital accumulation, while a higher ICOR means each unit of new capital produces less additional output.

Theory-based models · Model guide

Harrod-Domar Growth: question, structure, and use cases

The warranted gross growth rate equals the savings rate divided by the capital-output ratio, g = s/v; with depreciation, net warranted...

What growth rate can an economy sustain given its saving behavior and capital efficiency?

Background

Harrod-Domar is an early growth model built around saving, investment, and the capital-output ratio. It asks what growth rate is warranted by the economy's saving behavior and capital efficiency.

Harrod emphasized dynamic instability; Domar emphasized the dual role of investment as demand today and capacity tomorrow. Both made growth a problem of coordination rather than a smooth convergence process.

The model is historically important for development planning, but its fixed-coefficient technology and knife-edge dynamics are much more restrictive than the Solow model that followed.

Composition

The warranted growth rate is g = s / v, adjusted for depreciation in the route implementation. Higher saving finances more capital formation; a lower capital-output ratio means each unit of capital produces more output.

Because production uses fixed proportions, capital and labor cannot substitute smoothly. If demand growth and capacity growth diverge, the system can move away from balance rather than return to it.

The knife-edge result comes from the absence of a self-correcting substitution channel. A small gap between actual and warranted growth can cumulate.

gg
Growth rate

The warranted rate of output growth, equal to s/v ...

YY
Output

Real GDP that evolves over time at the warranted g...

KK
Capital stock

The accumulated stock of physical capital used in ...

ss
Savings rate

The fraction of output saved and available for inv...

vv
Capital-output ratio (ICOR)

Units of capital needed to produce one unit of out...

Application

Development agencies still use the incremental capital-output ratio as a planning heuristic, especially in infrastructure-heavy settings.

The model cautions that investment has to be productive. Raising saving does little if projects have weak returns, procurement failures, or imported inputs that limit domestic capacity.

The model should not be used to predict long-run convergence. It lacks technological progress, human capital, and price-mediated substitution.

Questions That Test the Model

Q1A country raises its saving rate from 20% to 25% with v = 4. What happens to warranted growth before depreciation?
Q2Why does a higher capital-output ratio lower the growth rate in this model?
Q3How does the knife-edge problem differ from Solow convergence?
Q4When would an ICOR-based growth target overstate what public investment can deliver?

Harrod-Domar warranted growth

Macroeconomic chart static chart preview showing Output path, Initial level

Warranted growth

1.67

Savings rate

20.0

Capital-output ratio

3.00

Depreciation rate

5.0

Continue reading

Concepts, data, and nearby models

Open the concept, data series, policy setting, or neighboring model that anchors this page.