Consider the basic Solow growth model. Let the aggregate production function be defined as Y = F(K, L) = K0.5 L0.5 where Y is output, K is capital, and L is labor. Furthermore, let the saving rate be 48%, population growth be 2%, and depreciation rate be 10%. a. Find the steady-state levels of capital per worker k and output per worker y.. b. Now assume that, because of the proliferation of financial technologies, the saving rate increases suddenly to 54% after one year. The steady-state level of capital will increase by _%, and the steady-state level of output will increase by _____%.

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Consider the basic Solow growth model. Let the aggregate production function be
defined as Y = F(K, L) = K0.5 L0.5 where Y is output, K is capital, and L is labor.
Furthermore, let the saving rate be 48%, population growth be 2%, and depreciation
rate be 10%.
a. Find the steady-state levels of capital per worker k and output per worker y..
%.
b. Now assume that, because of the proliferation of financial technologies, the saving
rate increases suddenly to 54% after one year. The steady-state level of capital will
increase by ____%, and the steady-state level of output will increase by_
Transcribed Image Text:Consider the basic Solow growth model. Let the aggregate production function be defined as Y = F(K, L) = K0.5 L0.5 where Y is output, K is capital, and L is labor. Furthermore, let the saving rate be 48%, population growth be 2%, and depreciation rate be 10%. a. Find the steady-state levels of capital per worker k and output per worker y.. %. b. Now assume that, because of the proliferation of financial technologies, the saving rate increases suddenly to 54% after one year. The steady-state level of capital will increase by ____%, and the steady-state level of output will increase by_
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