Solow Model Simulations Inputs: Data YO = $278.29 Billion KO = LO = A0 = $19.04 millior. $9.76 million 1.00097 Inputs: Parameter Capital share in production function 0.4 Saving/investment rate 0.2 Depreciation Rate 0.07 TFP growth rate 0.012 Labor growth rate 0.46 Simulation Date TFP Capital Labor GDP S=1 Depreciation Y Growth % Y/L (Y/L) Growth 2019 1905 2021 2022 2023 2024 2025 2026 2027 2028 0000

Solow Model Simulations Inputs: Data YO = $278.29 Billion KO = LO = A0 = $19.04 millior. $9.76 million 1.00097 Inputs: Parameter Capital share in production function 0.4 Saving/investment rate 0.2 Depreciation Rate 0.07 TFP growth rate 0.012 Labor growth rate 0.46 Simulation Date TFP Capital Labor GDP S=1 Depreciation Y Growth % Y/L (Y/L) Growth 2019 1905 2021 2022 2023 2024 2025 2026 2027 2028 0000

Essentials of Economics (MindTap Course List)

8th Edition

ISBN:9781337091992

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter17: Production And Growth

Section: Chapter Questions

Problem 1CQQ

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4. Assume an endogenous growth model with a production function that in per capita terms can be written as y = 0.8k. If the savings rate is s = 0.3, the rate of growth of population is n = 0.03, and the rate of depreciation is d = 0.1, how high is the rate of growth of output per capita? %3D A. 14% B. 17% C. 13% D. 11% E. There is not enough information to calculate it.
4. Assume an endogenous growth model with a production function that in per capita terms can be written as y = 0.8k. If the savings rate is s = 0.3, the rate of growth of population is n = 0.03, and the rate of depreciation is d = 0.1, how high is the rate of growth of output per capita? А. 14% В. 17% C. 13% D. 11% E. There is not enough information to calculate it.
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YIN CN Next question Suppose that the production function is given by Y- 05VR N 454 where Y is output, Kis capital, and N is the number of workers 4 Suppose that 60 05 With your favonte spreadsheet software, compute steady-state output per worker and steady-state consumption per worker for s 0, 801, a02, s1 Graph the steady-state level of output per worker and the steady-state level of consumption per worker as a function of the saving rate 25 1) Using the multipoint curve drawing tool, drawa curve showing the relationship between YIN and the saving rate. Properly label your curve 15 2) Using the multipoint curve drawing tool, draw a curve showing the relationship between CIN and the saving rate. Properly label your curve 0.5 Although the control ponts for your multpownt curves do not have to be exact try to plot them as accurately as possible 01 02 03 a'4 os o6 07 os 09 Saving rate, At what saving rates are YIN and CIN maximized? After plotting the final point of your multipoint curve…
e ncia.wwnorton.com b. Per capita real GDP doubled in South Korea again in only seven years, reaching $1600.00 by 1988.00. What was the average annual economic growth rate between 1981 and 1988.00? (NOTE: Round this to two places past the decimal point.) % 4th attempt 3rd attempt Okay Elizabeth 4 8 Q W E Y U P @ 23 & return A F G H J K % ! V N M .?123 .?123
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Using logarithmic form of this GDP production function compute the TFP contribution to GDP growth rate assumingalpha=0.4, beta=0.50 while GDP growth rate is 4.0 percent, capital stock growth rate is 5percent, labor growth 3percent and human capital growth 2 percent.
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.
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?
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.
Whichof the following is/are mismatched?a.rmax = intrinsic rate of increaseb.K = carrying capacityc.Nt = annual growth rated.t = time intervale.dN/dt = rate of population change
6. Using the Solow Model, determine graphically, the steady state for capital and output when there is an: (a) a permanent decrease in the savings rate (b) a permanent decrease in A (c) a permanent increase in the depreciation rate.