The logic behind the Singer-Prebish Thesis is quite simple. Essentially the argument rests on the differences between price elasticities for primary products and manufactured goods. More specifically, the price elasticity of demand for primary products tends to be less elastic than the demand for manufactures. As a result, changes in supply lead to larger fluctuations in price and ultimately revenue for developing countries which produce mainly primary products. This translates into less stable income streams and a higher cost of capital due to uncertainty.
The following graph illustrates this point.
The Singer-Prebish Thesis has not stood the test of time. The success of the late late developers in East Asia and a general lack of strong empirical data over the past decades has attenuated the strength of the argument. That said Singer-Prebish provides an interesting example of neo-classical economics being yoked to the cart of neo-marxist developmental economics.
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