What is the Growth Accounting Equation?
Growth Accounting is a financial economic tool that measures economic growth, more specifically, how changes in real Gross Domestic Product (GDP) in an economy are influenced by changes in available capital, labor, human capital, and technology. The Growth Accounting Equation facilitates analyzing economic growth at the minutest level. It allows one to break down economic growth into various components at the micro level and thus gives a very accurate measure of the economic growth of a nation.
The Growth Accounting Equation is as follows:
- Y is GDP or total gross domestic output
- A is Total Factor Productivity
- K is the country’s existing capital stock
- L is the size of the country’s labor force
- ΔY is the change in GDP
- ΔA is the change in Total Factor Productivity
- ΔK is the change in the country’s capital stock
- ΔL is the change in the size of the country’ labor force
- αK is the capital’s share of total income
- αL is labor’s share of total income
The Growth Accounting Equation can alternatively be written as follows:
- gY is GDP growth
- gA is TFP growth
- gK is capital stock growth
- gL is labor force growth or population growth
Here, growth rates can be positive or negative. Hence, the equation can also be used to analyze a decline in real GDP in addition to an increase in real GDP. However, the growth rate of technology is very difficult to accurately measure using the equation because of ambiguity. Its calculation generally depends on the discretion of the accountant.
Capital to Labor Ratio
In the growth accounting equation, the component “(change in k)/k” represents the capital to labor ratio. The capital to labor ratio is the ratio of total capital available per one unit of labor. The ratio indicates the extent of capital intensiveness of an economy. It shows if the economy is capital-intensive, which basically means the use of more capital and less labor, or labor-intensive, which means the use of more hands-on labor, and less capital. Usually, developed countries, or countries with prosperous economic growth, are more capital-intensive, whereas poor, or developing countries, are generally more labor-intensive.
Impact of Capital to Labor Ratio on the Growth Accounting Equation
The capital to labor ratio indicates that the standard of living in an economy depends on the availability of capital and advancements in technology, and not just on the percentage increase in employment.
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