4. Suppose that the depreciation rate increases. In the Solow growth model, determine the effects of this on the quantity of capital per worker and on output per worker in the steady state. Explain the economic intuition behind your results.

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2.Define the steady-state growth rate in the Solow model either graphically or mathematically. Using that tool, show how faster population growth affects the steady state? Explain why the answer you got makes sense.

9. Consider our graph of the basic Solow growth model. steady state dk y=F(() F() (-7' in LF equilibrium) On the graph above: y represents real output (or income) per worker; y-F(k) is the production function; is the capital stock per worker; s is the savings rate; 8 is the rate of depreciation of capital; 'i' represents business investment (purchases of capital) per worker); 'LF' stands for Loanable Funds. (For purposed of intuition, think of capital as 'machines.) If we started out with a capital (per worker) stock higher than the steady-state stock (above), we would expect to see which of the following happen over time? Positive growth rates while the capital stock increases. Positive growth rates while the capital stock stays less than the steady-state level. Negative growth rates while the capital stock increases. Positive growth rates while the capital stock decreases. Negative growth rates while the capital stock decreases.

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5. When was the Solow growth model developed and what was significant about that period? What did it predict that was significant at the time? When was the endogenous growth model developed? What did researchers observe the world that led to its development? What is the main feature that differentiates the two?

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