Harrods Growth Theory
Sir Roy Harrod was a British economist of the twentieth century, renowned for introducing the concept of dynamic economic growth. He proposed a theory of economic growth, which is now known as ‘Harrod’s Growth Theory’, and became a major milestone in the development of modern economic theory. Harrod’s Growth Theory was elaborated further in his book, The Trade Cycle: An Essay (1939). The objective of this article is to provide a detailed overview of Harrod’s contributions to economics, and his arguments underlying the theory of economic growth.
Harrods growth model was built as an attempt to explain the auto-catalytic style of economic growth. His original model is expressed as a system of two equations, the production function and the savings function. In the production function, the output of a firm Y is expressed as a function of capital K and labour L, such that Y= f(K,L), and the amount of capital available to the firm is the aggregate of new investment (I) and residual capital (K-1) from the previous period, such that K = I + (K -1).
The saving function is expressed in terms of the amount of saving S and the amount of non-saving (dis) saving (D). The relationship is expressed as S = I + (S-1) - D. This model relates the rate of investment to the rate of saving which, in turn, affects the size of the capital stock, and as a consequence, the level of output.
This model was later modified to allow for a more realistic description of economic growth. Harrod argued that, in order for growth to occur, there must be an increase in the amount of investment above the growth rate of the output. This ‘investment to output gap’ is necessary for the economy to grow.
However, it soon became apparent that an increase in investment was not the only requisite for growth. If the saved resources are not sufficient to finance the increase in investment, then the output will not increase. Therefore, the rate of investment had to be increasing at a faster rate than the growth rate of output, thus creating a ‘growth gap’.
To resolve this ‘growth gap’ Harrod proposed that the amount of output had to be increasing faster than the growth rate of the capital stock. He proposed that capital had to be ‘absorbed’ in order to accelerate economic growth. This ‘absorption’ is basically an increase in the amount of capital that is productively employed.
Harrod also suggested that savings had to be sufficient and that the composition of savings had to be sufficient to enable investment and thus ‘there must exist… a balance between the propensity to save and the inducement to invest’.
In summary, Harrods growth model was developed to examine the relationship between the growth of savings and investments in order to facilitate economic growth. His main argument was that, in order for growth to be realized, the rate of investment must exceed the growth rate of output, and that capital had to be productively invested in order to bridge the resultant gap. His model was an important addition to economic theory, and his idea of investment-to-output gap was adopted in much of the subsequent economic theory.