The Solow Growth Model Suggests That Countries with Identical Saving

question 49

Essay

The Solow growth model suggests that countries with identical saving rates and
population growth rates should converge to the same per capita income level.This result
has been extended to include investment in human capital (education)as well as
investment in physical capital.This hypothesis is referred to as the "conditional
convergence hypothesis," since the convergence is dependent on countries obtaining the
same values in the driving variables.To test the hypothesis, you collect data from the
Penn World Tables on the average annual growth rate of GDP per worker (g6090)for the
1960-1990 sample period, and regress it on the (i)initial starting level of GDP per worker
relative to the United States in 1960 (RelProd60), (ii)average population growth rate of
the country (n), (iii)average investment share of GDP from 1960 to1990 (sK - remember
investment equals savings), and (iv)educational attainment in years for 1985 (Educ).The
results for close to 100 countries is as follows: $$\begin{array} { l } \widehat { g 6090 } = 0.004 - 0.172 \times n + 0.133 \times s _ { K } + 0.002 \times E d u c - 0.044 \times \operatorname { RelProd } _ { 60 } , \\R ^ { 2 } = 0.537 , S E R = 0.011\end{array}$$ (a)Interpret the results.Do the coefficients have the expected signs? Why does a negative
coefficient on the initial level of per capita income indicate conditional convergence
("beta-convergence")?

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Definitions:

Russian Empire

A historical state from the early 18th century until the early 20th century, ruled by emperors or tsars, and known for its expansion and influence in Eastern Europe and Asia.

Appalachian Mountains

A mountain range in Eastern North America extending from the island of Newfoundland in Canada to central Alabama in the United States, offering significant natural and cultural resources.

New England

A region in the northeastern United States, comprising six states (Maine, Vermont, New Hampshire, Massachusetts, Rhode Island, and Connecticut), known for its colonial history.

Slaveholders

Individuals or entities that owned slaves, particularly prevalent in historical contexts such as pre-Civil War United States.