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Problem 1. (40 POINTS) Consider the Solow growth model with constant population ($\frac{\dot{L}}{L} = 0$) and with technology progress ($\frac{\dot{A}}{A} = g$). a) Define the steady state condition using one equation. Represent it graphically. b) Show the effects of a decrease in the saving rate $s$ and an increase in the depreciation rate of capital $\delta$ in two separate graphs. Briefly describe how the growth rates of capital and output per effective labor (i.e. $g_k$ and $g_y$) change during two adjustment processes? c) Assume the production function $Y = K^{0.5}(AL)^{0.5}$, $\delta = 0.05$, and $g = 0.02$. If per effective labor production is 10, what is the equilibrium value of $s$?

Name: problem 1 40 points consider the solow growth model with constant population fracdotll 0 and with technology progress fracdotaa g a define the steady state condition using one equation repre 78056
Uploaded: 2024-06-07T13:00:34-08:00
Duration: 4 min 7 s
Channel: Shu Naito
Description: problem 1 40 points consider the solow growth model with constant population fracdotll 0 and with technology progress fracdotaa g a define the steady state condition using one equation repre 78056

          Problem 1. (40 POINTS) Consider the Solow growth model with constant population ($\frac{\dot{L}}{L} = 0$) and with technology progress ($\frac{\dot{A}}{A} = g$).

a) Define the steady state condition using one equation. Represent it graphically.

b) Show the effects of a decrease in the saving rate $s$ and an increase in the depreciation rate of capital $\delta$ in two separate graphs. Briefly describe how the growth rates of capital and output per effective labor (i.e. $g_k$ and $g_y$) change during two adjustment processes?

c) Assume the production function $Y = K^{0.5}(AL)^{0.5}$, $\delta = 0.05$, and $g = 0.02$. If per effective labor production is 10, what is the equilibrium value of $s$?

$problem 1 40 points consider the solow growth model with constant population fracdotll 0 and with technology progress fracdotaa g a define the steady state condition using one equation repre 78056$

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