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The country of Swan is very wealthy, with a high level of per capita income and capital. The country of Solow is quite poor, with low levels of per capita income and capital. Both countries have the same production function, Y = Af(K, L), and both countries are described by the Solow–Swan growth model. Assuming the two countries have the same steady state per capita income, then:Group of answer choicesSolow will grow more quickly than Swanas the two economies have the same steady state, they must grow at the same rateSwan will see its per capita income decline, while Solow will see its per capita income riseSwan will grow more quickly than Solow

Question

The country of Swan is very wealthy, with a high level of per capita income and capital. The country of Solow is quite poor, with low levels of per capita income and capital. Both countries have the same production function, Y = Af(K, L), and both countries are described by the Solow–Swan growth model. Assuming the two countries have the same steady state per capita income, then:Group of answer choicesSolow will grow more quickly than Swanas the two economies have the same steady state, they must grow at the same rateSwan will see its per capita income decline, while Solow will see its per capita income riseSwan will grow more quickly than Solow

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Solution

The correct answer is: as the two economies have the same steady state, they must grow at the same rate.

Here's why:

The Solow-Swan growth model is a model of long-run economic growth. It suggests that in the long run, all economies converge to a steady state level of per capita income. This steady state level is determined by the rate of savings, the rate of population growth, and the rate of technological progress, all of which are assumed to be exogenous (i.e., determined outside the model).

In this case, we're told that both Swan and Solow have the same steady state per capita income. This means that, regardless of their current levels of income and capital, both countries will eventually converge to the same level of per capita income in the long run.

Therefore, the growth rates of the two countries must be the same. If one country were to grow more quickly than the other, it would eventually surpass the other country's level of per capita income, contradicting the assumption that they have the same steady state.

This problem has been solved

Similar Questions

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