Consider the following numerical example using the Solow growth model. Suppose that F (K, N) = ZK2N2 Furthermore, assume that 5% of the capital is lost each period due to depreciation, the population grows by 1% each period, the consumer in this economy saves 20% of his income and the total factor productivity is z 2. The unit period is one year. Find the steady state per-capita quantity of capital (k*), production (y*) and consumption (c*) Find the steady state quantity of capital per worker that maximize consumption per 1. 2. worker in this modei. Derive the golden rule steadv etate per-capita consumption (c**), production (y**) and saving (s**: 3.

Consider the following numerical example using the Solow growth model. Suppose that F (K, N) = ZK2N2 Furthermore, assume that 5% of the capital is lost each period due to depreciation, the population grows by 1% each period, the consumer in this economy saves 20% of his income and the total factor productivity is z 2. The unit period is one year. Find the steady state per-capita quantity of capital (k), production (y) and consumption (c*) Find the steady state quantity of capital per worker that maximize consumption per 1. 2. worker in this modei. Derive the golden rule steadv etate per-capita consumption (c), production (y) and saving (s**: 3.

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter20: Economic Growth In The Global Economy

Section: Chapter Questions

Problem 5P

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Suppose a Solow economy is initially at its steady state k∗, and suddenly is hit by a decrease in the depreciation rate δ, from δ to δ1. This change does not alter any of the other exogenous parameters in the model Depict this situation in a graph What happens to steady state level of capital per capita in this situation? What happens to the level of capital per capita over time? Depict this in a graph and explain intuitively.
Suppose we started out at the steady state capital stock in the basic Solow growth model (see graph a few questions ago). If there subsequently were an increase in the demand for loanable funds due to more favorable tax treatment of business investment, ceteris paribus (i.e., holding other factors constant, including no shift in the supply of loanable funds), then as we move to the new steady state over time we would expect to see Group of answer choices A) economic growth rates turn negative as we move toward the new steady state and the nation’s capital stock to decrease from its current level. B) economic growth rates turn positive as we move toward the new steady state and the nation’s capital stock to decrease from its current level. C) economic growth rates turn positive as we move toward the new steady state and the nation’s capital stock to grow from its current level. D) economic growth rates turn negative as we move toward the new steady state and the nation’s…
Consider the continuous-time Solow growth model as discussed in the lecture. The economy is on its balanced growth path with labor augmenting technological progress at rate g and population growth at rate n. The depreciation rate is 8. (a) Derive the dynamic equation of aggregate capital K. (b) Normalize the aggregate capital K by technology A and population L and denote the capital per unit of effective labor as k = K/(AL). Derive the dynamic equation of k .(c) Use the phase diagram to illustrate the steady state level of k and the dynamics of k if k starts from a level lower than the steady state level. (d) Suppose that the economy is on its balanced growth path at time to. Unex- pectedly, the population growth rate drops down to n' <n at to, stays at n' until t1, and resumes to n after t1. How does k respond, between to and t1, and afterwards?
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