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Does Life Expectancy Affect Per Capita Income Growth?

The paper models the behavior of an economy that accumulates capital stock and increases the life expectancy of their inhabitants at the same time. It is shown that as a country develops, it presents initially smaller growth rates on consumption and physical capital but larger expansions on life expectancy. Thus poor countries may initially catch-up on life expectancy rather than per capita income, producing divergence on income between poor and rich countries. It is also shown that economies with larger life expectancy should have larger income growth rates.