Only c & d is needed, please explain in-depth and in simple terms thank u Consider the standard Solow model. The expression for output per worker andthe dynamics of capital per worker are given by the following expression:y = AkaΔΕ= sy — Skwhere > 0 is the depreciation rate of capital.(a) Using a Solow diagram, what is the effect of an increase in productivity Aon steady state capital? (label the axes and mark the initial and the finalsteady state level of capital)(b) Find an algebraic expression for the steady state capital per worker.(c) What happens to steady state output and consumption after a positiveproductivity shock? Justify your response.(d) If the real wage equals the marginal product of labor, what is the growthrate of the real wage in steady state?

Let's clarify each part of the answer in a more understandable way: (a) Effect of an Increase in…

Answered: Consider the standard Solow model. The…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

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Consider the Solow model (Y-AK1/4L3/4). Suppose that the productivity parameter is A=500, the depreciation rate is d=1/10, the savings (investment) rate is s=0.30, and the labor force is constant and equal to 2 million. ÊÊWhat is the steady state capital stock (K)? Please choose the closest answer." a. b. 48200 million C. 34341 million d. 15930 million 18340 million
Let the production function be Q = K0.®L0.2 Solow's assumptions are K = sQ – 6K The symbols s represents a (constant) marginal propensity to save, n, a (constant) rate of growth of labor and 8 constant depreciation rate. (a) Derive the fundamental equation of Solow growth model for given production function. (b) Sketch graph of with k on the vertical axis and k on the horizontal take n = 0.01, s = 0.3, 8 = 0.1.
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?
An increase in research productivity: Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, research pro-ductivity z rises immediately and permanently to the new level z r. (a) Solve for the new growth rate of knowledge and yt.(b) Make a graph of yt over time using a ratio scale.
Consider a Solow–Swan model with saving rate s = 0.4, labour force growth gL = 0.05, constant productivity A = 1, and depreciation? = 0.05. If output per worker is y = Y/L = 200 and capital per worker is k = K/L = 800, how would k evolve over time?Group of answer choices k is below its steady state and decreases towards the steady state k is above its steady state and decreases towards the steady statek is at its steady state and remains constant k is above its steady state and increases towards the steady state
Assume the rate of technological progress is constant in a SSGM with Cobb- Douglas production function. Show that a steady-state cannot be identifiede if the technological progress is capital augmented, i.e. F(K, L) = [A(t)K(t)]*L(t)'_ª, where A(t) is the efficiency term growinge with a constant rate g.t
da qaoudon Suppose that the production function is given by Y=05/K √N, where Y is output, K is capital, and N is the number of workers. The steady-state level of capital per worker in terms of the saving rate, s, and the depreciation rate, 6, is KIN= (Property format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g. a superscript can be created with the character.) The steady-state level of output per worker in terms of the saving rate, s, and the depreciation rate, 6, is VIN= (Property format your expression using the tools in the palette.) The equation for steady-state consumption per worker in terms of the saving rate, s, and the depreciation rate, 6, is CIN=(Property format your expression using the tools in the palette.)
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
Based on two period model: population growth results in a decrease in the relative amount allocated to the second period and a lower present value of the marginal user cost. True or False?
Q5 Suppose in a Solow model, we have the following parameter values: n = 0, s = 0.5, a = 0.3. There is no growth in the total factor productivity so that A, = A = 1. Moreover, we know that at time 0, the economy is at a steady state so that k = k, =1. Now imagine that a foreign power invaded this %3D country. 1% of the population was killed and another 14% of the population fleeded the country to avoid violence. Moreover, 15% of capital stocks were destroyed. All of this happens in period t=1. After that, the war ended and there was no more destruction of capital or loss of population (but the refugee permanently settled outside of the country and will never return0. What is the growth rate of per-capita output in period t =4?
Derive the steady state level of capital K*, output Y* and output per capita y* in terms of model parameters (A, 3, L, d, a). Below is the solution Pls explain step by step
Explain in detail the difference between endogenous variables and Exogenous variables. Use an example for each from the Solow mode

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