Homework Answers
(b). The capital stock will move towards the steady state level
of capital if it"s below or above the steady state. For example(as
shown in the table)- for all the amount of capital stock below
steady state, savings are greater than depreciation rate; so
capital capital stock can be increased and it will move towards
steady state. Similarly if the capital stock is above steady state,
then depreciation is greater than savings; so capital stock will
fall and move towards steady state. Only at the STEADY STATE level
of capital total savings and depreciation are equal, hence there
should be no change in capital stock. 
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please explanation on how to derive the value of k for the a part
of the...
Hello guys can anyone help with this question thank you so much Steady State in the Solow Model of Economic Growth Take the Solow model with a savings rate of 𝑠 = 0.2, a depreciation rate of 𝛿 = 0.05 and a Cobb-Douglas production function of 𝑦 = 𝑘 1⁄3 .
Hello guys can anyone help with this question thank you so muchSteady State in the Solow Model of Economic Growth Take the Solow model with a savings rate of 𝑠 = 0.2, a depreciation rate of 𝛿 = 0.05 and a Cobb-Douglas production function of 𝑦 = 𝑘 1⁄3 . Note that the Solow equation that describes how capital changes is given by Δ𝑘 = 𝑠𝑘 1⁄3 − 𝛿𝑘. a) Find the steady state capital stock, where the capital stock...
1) Imagine a Solow Growth Model with a standard Cobb-Douglas production function and the following parameters:...
1) Imagine a Solow Growth Model with a standard Cobb-Douglas production function and the following parameters: α = 0.33; d = 0.05; A = 1; s = 0.5; n = 0.25 a) Calculate the rate of capital accumulation (law of motion) b) Calculate the steady state level of capital? c) Calculate the steady state level of real output/income? d) Calculate the steady state level of investment? e) Calculate the steady state level of consumption? f) What effect does a higher...
Imagine a Solow Growth Model with a standard Cobb-Douglas production function and the following parameters: α...
Imagine a Solow Growth Model with a standard Cobb-Douglas production function and the following parameters: α = 0.33; d = 0.05; A = 2; s = 0.5; n = 0.25 a) Calculate the rate of capital accumulation (law of motion) b) Calculate the steady state level of capital? c) Calculate the steady state level of real output/income? d) Calculate the steady state level of investment? e) Calculate the steady state level of consumption? f) What effect does a higher productivity...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings rate s, depreciation rate d and no growth in productivity or labor (gA = gN = 0) (a) Suppose A = 1, a = 1/3, s = 0.2 and 5 = 0.1 (annual). Calculate the steady state capital per worker and steady state output per worker (b) Suppose that the real wage w and real return to capital r are equal to the marginal...
5. Calibrated Cobb-Douglas Growth Model Assume an economy has the following production function: Y = F(K,...
5. Calibrated Cobb-Douglas Growth Model Assume an economy has the following production function: Y = F(K, AL) = K 0.4 (AL)0.6. (a) Write down the production function per effective worker. (20 marks) (b) For this economy, the savings rate is 20%, the depreciation rate is 10% per year, the population growth rate is 2% per year, and the technology growth rate is 3% per year. Calculate the steady-state capital stock per effective worker, output per effective worker, and consumption per...
Let the Cobb-Douglas parameter alpha equal 0.3. Then in the Solow growth model steady-state consumption will...
Let the Cobb-Douglas parameter alpha equal 0.3. Then in the Solow growth model steady-state consumption will surely be increased if (check all that apply): A. The saving rate decreases from 0.50 to 0.25 B. The saving rate increases from 0.25 to 0.50 C.The saving rate increases from 0.25 to 0.30 D. The saving rate decreases from 0.35 to 0.30
can anyone help solving this question. it"s typo of part e that should be part d...
can anyone help solving this question.
it"s typo of part e that should be part d
QUESTION 2 This question aims to explore some of the points discussed in Topic 2 (Solow-Swan model). It is also designed to test your understanding of Chapter 5 of the prescribed textbook. Consider an economy with the general Cobb-Douglas production function: Answer the following questions assuming that labour grows at the rate n = 0 and adopting the assumptions made in lecture. The equation...
1. Consider a country that is initially in steady state. Suppose the saving rate increases. Moreover,...
1. Consider a country that is initially in steady state. Suppose the saving rate increases. Moreover, the population growth rate increases by 1% but the capital depreciation rate falls by 1%. According to the Solow–Swan model, the per capita capital stock increases, and the country moves to a new, higher steady state level of per capita income. Answer true, false, or uncertain. Please briefly explain your answer. 2. Consider the country of Solow, which is described by the Solow–Swan model....
Problem 3. Consider the Solow model where the production function is Cobb-Douglas and takes this form,...
Problem 3. Consider the Solow model where the production function is Cobb-Douglas and takes this form, Y = Ka (LE)1-a, where 0 < α < 1. The savings rate s s, the depreciation rate isỗ, and the growth rate of E is g and the growth rate of L is n. Denote y E and LE 1. The economy is at the steady state. Report the steady-state growth rates of y, k, Y, K, L' K' ?, an 2. Assume...
Consider the Solow growth model. The production function is given by Y = K αN1−α ,...
Consider the Solow growth model. The production function is given by Y = K αN1−α , with α = 1/3. Depreciation rate δ = 0.05, and saving rate s = 0.25. Labor force grows at the rate n = 0.01. (a) Write down the law of motion for capital per worker. (b) Compute steady state capital per worker. (c) Suppose the economy has initial capital per worker k0 = 4. Describe the dynamics of this economy, i.e., how does capital...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings rate s, depreciation rate d and no growth in productivity or labor (gA = gN = 0) (a) Suppose A = 1, a = 1/3, s = 0.2 and 5 = 0.1 (annual). Calculate the steady state capital per worker and steady state output per worker (b) Suppose that the real wage w and real return to capital r are equal to the marginal...
5. Calibrated Cobb-Douglas Growth Model Assume an economy has the following production function: Y = F(K, AL) = K 0.4 (AL)0.6. (a) Write down the production function per effective worker. (20 marks) (b) For this economy, the savings rate is 20%, the depreciation rate is 10% per year, the population growth rate is 2% per year, and the technology growth rate is 3% per year. Calculate the steady-state capital stock per effective worker, output per effective worker, and consumption per...
can anyone help solving this question.
it"s typo of part e that should be part d
QUESTION 2 This question aims to explore some of the points discussed in Topic 2 (Solow-Swan model). It is also designed to test your understanding of Chapter 5 of the prescribed textbook. Consider an economy with the general Cobb-Douglas production function: Answer the following questions assuming that labour grows at the rate n = 0 and adopting the assumptions made in lecture. The equation...
Problem 3. Consider the Solow model where the production function is Cobb-Douglas and takes this form, Y = Ka (LE)1-a, where 0 < α < 1. The savings rate s s, the depreciation rate isỗ, and the growth rate of E is g and the growth rate of L is n. Denote y E and LE 1. The economy is at the steady state. Report the steady-state growth rates of y, k, Y, K, L' K' ?, an 2. Assume...
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