(1) Y=√K , (2) the existing capital stock depreciates at a rate of 5% per year,...
(1) Y=√K , (2) the existing capital stock depreciates at a rate of 5% per year, and (3) the country saves 25% of all income. Assume the country has 100 units of capital. How much capital is needed to replace the units that are no longer functional?
Homework Answers
Given depreciation rate =0.05=5%. The country at present has K=100
Thus after one year the stock of capital will be reduced by 0.05*100=5 units of capital. Thus after one year 5 units of capital will not be functional.
Thus 5 units of capital will be needed to replace the units that are no longer functional
Add Answer to:
(1) Y=√K , (2) the existing capital stock depreciates
at a rate of 5% per year,...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5 Points) Does this production function have constant returns to scale? Explain. (5 Points) What is the per-worker production function, y=f(k)? (10 Points) Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using...
4) Solow Model problem: depreciates at the rate Model problem: A country's production function is Y...
4) Solow Model problem: depreciates at the rate Model problem: A country's production function is Y = K12L12. If capital at the rate of 6% (8 = 0.06) each year, the population grows at the rate of 2% (n ear, and the residents of this country save 36% of income (o = 0.36), solve for the steady-state value of capital per worker (k*), output per worker (y*), and = 0.02) each year, and the reside consumption per worker (c*): C...
Country A and country B both have the production function Y = F(K, L) = K1/3L2/3....
Country A and country B both have the production function Y = F(K, L) = K1/3L2/3. a) What is the per-worker production function, y = f(k)? b) Assume that neither country experiences population growth or technological progress and that 10 percent of capital depreciates each year. Assume further that country A saves 15 percent of output each year and country B saves 25 percent of output each year. Using your answer from part (a) and the steady-state condition that investment...
a ) Consider the following Neoclassical growth model. Capital depreciates at an annual rate of 25%...
a ) Consider the following Neoclassical growth model. Capital depreciates at an annual rate of 25% and population grows at an annual rate of 5%. There is noproductivity growth. The economy saves 10% of its income. Currently, each worker uses $2000 of capital and produces $5000 of output. We can conclude that the amount of investment per worker needed to break-even is ___ and capital per worker will __ from this year to the next. (A) $600; decrease by $100....
An economy is described by the solow model, it has he following production function: Y= F(K,EL)...
An economy is described by the solow model, it has he following production function: Y= F(K,EL) K5 (EL) 0.5 E grows at rate g; L grows at rate n ; depreciation rate is ô. Savings rate is a constant s 1- We will fill in the model (in terms of Y, s) C= (in terms of Y, s Y = (in terms of C and I only) 2- This is the first year of our country's founding, the country is...
A country has the following production function: Yt=Kt^0.5Lt^0.5 Assume that 5 percent of of capital depreciates...
A country has the following production function: Yt=Kt^0.5Lt^0.5 Assume that 5 percent of of capital depreciates each year and the country saves 20 percent of output each year. What is the per worker production function, What is the steady-state level of capital per worker? What is the steady-state level of output per worker? The steady-state level of consumption per worker is: The steady-state level of saving per person is: The growth rate of output per person in the steady-state is:
7. Let K(t) denote the quantity of capital a country has at the beginning of period...
7. Let K(t) denote the quantity of capital a country has at the beginning of period t. Also, assume that capital depreciates at a constant rate d, so that dK(t) of the capital stock wears out during period t. If investment during period t is denoted I(t), and the country does not trade with the rest of the world, then we can say that the quantity of capital at the beginning of period t+1 is given by K (t1 (1-d)...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 D...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 Does this production function have constant returns to scale? Explain. b. What is the per-worker production function, y = f(k)? c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of...
If y = k^1/2, the country saves 20 percent of its output each year, and the steady state level of capital per worker is...
If y = k^1/2, the country saves 20 percent of its output each year, and the steady state level of capital per worker is 25, then the steady state levels of investment per worker and consumption per worker are?
Assume that a firm’s beginning capital stock is $500,000 and capital depreciates at a rate of...
Assume that a firm’s beginning capital stock is $500,000 and capital depreciates at a rate of five percent per annum. Now assume that the firm also spends the following on gross investment (starting from the beginning year): $10,000, $30,000, and $30,000. Then the firm’s capital stock at the beginning of the third year is different from the beginning capital stock by (1) $70,000.00. (2) -$25,000.00. (3) -$3,787.50. (4) $45,000.00
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5 Points) Does this production function have constant returns to scale? Explain. (5 Points) What is the per-worker production function, y=f(k)? (10 Points) Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using...
4) Solow Model problem: depreciates at the rate Model problem: A country's production function is Y = K12L12. If capital at the rate of 6% (8 = 0.06) each year, the population grows at the rate of 2% (n ear, and the residents of this country save 36% of income (o = 0.36), solve for the steady-state value of capital per worker (k*), output per worker (y*), and = 0.02) each year, and the reside consumption per worker (c*): C...
An economy is described by the solow model, it has he following production function: Y= F(K,EL) K5 (EL) 0.5 E grows at rate g; L grows at rate n ; depreciation rate is ô. Savings rate is a constant s 1- We will fill in the model (in terms of Y, s) C= (in terms of Y, s Y = (in terms of C and I only) 2- This is the first year of our country's founding, the country is...
7. Let K(t) denote the quantity of capital a country has at the beginning of period t. Also, assume that capital depreciates at a constant rate d, so that dK(t) of the capital stock wears out during period t. If investment during period t is denoted I(t), and the country does not trade with the rest of the world, then we can say that the quantity of capital at the beginning of period t+1 is given by K (t1 (1-d)...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 Does this production function have constant returns to scale? Explain. b. What is the per-worker production function, y = f(k)? c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago