4. Suppose that the Indonesian economy can be explained by the Solow model using thefollowing production function: Y = K (LE) ² , where E is the efficiency of labor.a. Derive the production function reflecting per-efficiency-unit-of-labor (in this case; y =fik) = Y/EL).b. Use the answer in (a) to find the steady-state value of y as a function of s, n , g, and d.c. Now suppose that the Malaysian economy also has the above production functions,but they have different parameter values. Indonesia has a savings rate of 28 percentand a population growth of 1 percent per year. While Malaysia has a savings rate of 10percent and a population growth of 4 percent per year. Both Indonesia and Malaysiahave g = 0.02 and d = 0.04. Determine the steady-state values of y in the two states.

Answered: Image /qna-images/answer/0c5113db-af0f-43db-8b57-e2da5c0bc71c.jpg

Answered: 1. Suppose that the Indonesian economy…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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only part e solution is needed
Consider a Solow-Swan economy with a Cobb-Douglas production function. Imagine that the savings rate "s" is an increasing function of capital and it has the following functional form: for low values of k the savings rate is constant at some low level. For intermediate levels of k, the savings rate increases rapidly. For high values of k the savings rate is constant again. In other words, the savings rate looks like: Does a steady state necessarily exist? b. Will the steady state be necessarily unique? а. Will the steady state(s) be stable? d. Will there be a "poverty trap"? (define poverty trap) С. How can this model be used (and how has this model been used) to justify large increases in foreign development aid? Discuss THREE potential flaws of the "savings poverty trap" model. е. f.
In the Solow model, if investment per-worker initially exceeds saving per-worker, how isthe steady-state capital per worker reached? Draw a graph to support your answer
Suppose that the TFP parameter, As, in the Solow production function is the same across countries. What differs across countries is their savings rate, s. For the 1750 starter its savings rate is .25. Find the savings rate for a country that switches to Solow in 1950. Use the calibrated parameters from class. Also, assume the same population growth function holds in the 1750 starter and the 1950 starter.
1. Describe how, if at all, each of the following developments affects the break-even and actual investment line in the diagram for the Solow growth model: (a) The rate of depreciation falls. (b) The rate of technological progress rises. (c) The production function is Cobb-Douglas, f(k) = ka, and capital's share, a, rises. (d) Workers exert more effort, so that output per unit of effective labor for a given value of capital per unit of effective labor is higher than before.
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_
7. Suppose that the economy's production function is Y = √K√LA where K is capital, L is labor, and A is the state of technology. Suppose that the saving rate (s) is equal to 6%, the rate of depreciation of capital (8) is equal to 5%, the number of workers grow at 5% per year and the rate of technological progress is 4%. (a) Find the steady state values of: i. 11. iii. capital stock per effective worker output per effective worker growth rate of output per effective worker
1. Consider Avataria, which can be described by the Solow model with the population growth. Its production function Y(K,L) = 2K¹2 L¹/2 Its investment rate is 40%, its depreciation rate is 10%, and its population growth rate is 10%. Calculate the capital-labor ratio, output per worker, and consumption per worker in the steady state. Assume that now the population growth slows down to 4%. What happens with the output per worker and consumption per worker in the new steady state? Calculate the exact values. (a) (b)
question 5
In the Solow Growth Model, a country's production function is defined by the following: Y = F (K/L) = kºs Where K is capital and I. labour; labour grows at a rate (n), and the economy faces depreciation at a rate (8) The initial Capital Stock per worker: k, = 9 units The savings rate: s = 0.20 and the rate of depreciation: a = 0.1 Using equations and identities from the Solow Growth Model, calculate the level of capital k, Output y, Consumption c, depreciation and change in capital from the equation of motion for periods 1, 2 and 3. Comment on the accumulation of capital and output over the three periods.
only part b solution is needed
In a Solow economy with technological progress, the production function is given by: Y = KO.5(LE)0.5. Furthermore, the saving rate of this economy is 0.2. The population growth rate is 0.03. The depreciation rate is 0.01. The technological progress is given by g which is equal to 0.01. Define y = Y/LE and k = K/LE. a) Find out the steady state values of k (i.e.: k*) and y (i.e.: y"). 2. Ay Ak AY ΔΚ b) Find out the values of and in the steady state. K y'k'Y

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