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A country is described by the Solow Model with a production function y =k1/2. Now suppose k is equal to 400. Now suppose that the fraction of output invested (or saved) is 50%. Assume that the depreciation rate is 5% and population growth is 0%.

Is the country at its steady-state level of output per worker above the steady-state or below the steady-state? Show how you reached your conclusion.

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Romarie Khazandra Marijuan
Romarie Khazandra MarijuanLv10
28 Sep 2019

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Related questions

Country A has the production function: Y = F (K, L) = K0.5L0.5

a. Express the production function in per worker terms. Thus, y = f (k) where y = Y/L and k=K/L

b. Suppose that both countries start off with a capital stock per worker of 2 (i.e. k = 2). What are the levels of income per worker and consumption per worker? Illustrate this on a graph

c. Assume that neither country experiences population growth or technological progress. Assume further that country A saves 10 percent of its output and the stock of capital depreciate by 5 percent each year. Using your answer from part (a) and the steady-state condition that investment equals depreciation

i. Find the steady-state level of capital per worker for each country.

ii. Find the steady-state levels of income (output) per worker and consumption per worker for each country

iii. Show on a graph the steady-state capital stock per worker, output per worker and consumption per worker for each country

d. State the condition for the Golden Rule and find the Golden Rule level of capital.

Country A and country B both have the production function:

Y = F(K,L) = K^(1/3)L^(2/3).

a) Does this production function have constant returns to scale? Explain.

b) What is the per-worker production function, y = f(k)

c) Assume that neither country experiences population growth nor technological progress and that 20-percent of capital depreciates each year. Assume further that country A saves 10% of output each year and country B saves 30% of output each year. Using your answer from part (b) and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker for each country. Then find the steady-state levels of income per worker and consumption per worker.

d) Suppose that both countries start off with a capital stock per worker of 1. What are the levels of income per worker and consumption per worker?

Suppose in the Solow growth model that s=.25, n=.02, d=.08, and f(k)= K^3

A)Suppose that z=2. What is the steady state level of capital per worker and consumption per worker ?
B) Now, suppose that initially z=2 and the economy is in the steady state you calculated in part a. . Then suppose that z falls to 1.8 permanently. What is the new steady state? Determine capital per worker znd output per worker in each of the first 10 periods after z falls, and show this in a figure.
C) Now suppose alternatively that z=2 initially, the economy is in the steady state, and then z falls to 1.8, but now for only 10 periods. Then z=2 forever. Determine the path followed by capital per worker and output per worker in the first 10 periods after z falls. Again, show this in a figure.
D) What conclusions can you draw from your results in part a through c? Discuss

Please any help with this would be greatly appreciated. THANK YOU!!

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