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? s1 s2. ? The two economies have the same technology levels, A, and population growth rates, n. ? Therefore, k*1 is less than k*2 . ? It is uncertain which economy grows faster initially. The vertical distance marked with the blue arrows may be larger or smaller than the one marked with the red arrows. Macroeconomics Chapter 4 33 Solow Growth Model Convergence Macroeconomics Chapter 4 34 Solow Growth Model Convergence ? Economy 1 starts with lower capital per worker than economy 2 ? k(0)1 k(0)2. ? The two economies now have the same saving rates, s, and technology levels, A, but economy 1 has a higher population growth rate, n。 f(k) and ?y/y= αf(k*)/k*=δ+n/s Macroeconomics Chapter 4 12 Solow Growth Model Change in the labor input Macroeconomics Chapter 4 13 Solow Growth Model Change in the labor input ? In the short run, an increase in labor input, L(0), raises the growth rates of capital and real GDP per worker. ? These growth rates remain higher during the transition to the steady state. Macroeconomics Chapter 4 14 Solow Growth Model Change in the labor input ? In the long run, the growth rates of capital and real GDP per worker are the same—zero— for any level of labor input, L(0). ? The steadystate capital and real GDP per worker, k? and y?, are the same for any L. ? In the long run an economy with twice as much labor input has twice as much capital and real GDP. Macroeconomics Chapter 4 15 Solow Growth Model Change in population growth rate Macroeconomics Chapter 4 16 Solow Growth Model Change in population growth rate Macroeconomics Chapter 4 17 Solow Growth Model Change in population growth rate ? In the short run, a higher n lowers ?k/k and ? y/y. ? These growth rates remain lower during the transition to the steady state. Macroeconomics Chapter 4 18 Solow Growth Model Change in population growth ra