Question

In: Economics

Suppose thats=.4,δ=.3,gN=.03, and gA=.02. In the Solow Growth model westudied in class, the steady state growth...

Suppose thats=.4,δ=.3,gN=.03, and gA=.02. In the Solow Growth model westudied in class, the steady state growth rate of output (Y) is:

A. 0

B. 2%

C. 3%

d. 5%

Solutions

Expert Solution

Steady state occurs when: Change in k = 0 where k = K/(AN) i.e. Capital per effective worker.

In Solow model y = Y/(AN) depends only on k and thus if change in k = 0 then change in y will also 0 and thus y will be constant where y = Output per effective worker, Y = Output.

Thus according to Solow model y = Y/(AN) if constant.

Formula :

% change in (A/B) = % change in A - % change in B

% change in (A*B) = % change in A + % change in B

Here we have to calculate growth rate of Y i.e. % change in Y

We can write Y as Y = (Y/(AN))*A*N

=> % change in Y = % change in [(Y/(AN))*A*N]

Using above formulas we have :

% change in Y = % change in [(Y/(AN))*A*N] = % change in (Y/(AN)) + % change in A + % change in N

As discussed above that Y/(AN) = y is constant => % change in (Y/(AN)) = 0, Here gA = 0.02 => % change in A = 2%; Also gN = 0.03 => $ change in N = 3%

=> % change in Y = % change in (Y/(AN)) + % change in A + % change in N = 0 + 2% + 3% = 5%

Thus, Growth rate of Output(Y) = 5%.

Hence, the correct answer is (d) 5%


Related Solutions

The Solow growth model Suppose an economy was in steady state with population growing at 2%...
The Solow growth model Suppose an economy was in steady state with population growing at 2% yearly, and suddenly its population growth rate doubles to 4% yearly. What happens to this economy in the short and long run? Illustrate with a diagram.
Suppose we started out at the steady state capital stock in the basic Solow growth model....
Suppose we started out at the steady state capital stock in the basic Solow growth model. If there subsequently were a decrease in the demand for loanable funds due to less favorable tax treatment of business investment (and no shift in the supply of loanable funds), then we would expect to see: a. economic growth rates increase in the short run and the nation's capital stock to grow from its current level. b. economic growth rates become negative in the...
Solow growth model: steady state. What does it mean for the economy to be in the...
Solow growth model: steady state. What does it mean for the economy to be in the steady state? How is the steady state determined? How does steady-state output per person depend upon the investment and depreciation rates? Explain why an increase in the investment rate raises steady-state y. What are the effects of a rise in TFP or a fall in the rate of depreciation on steady-state y?
Consider an economy at the steady state according to the Solow Growth Model with a per...
Consider an economy at the steady state according to the Solow Growth Model with a per capita production function  where n=0.04, d=0.08, and s=0.3. Suppose a change in the age profile of the population leads to a reduction of the savings rate to s=0.28. As a result, consumption initially falls and continues to decline until reaching the new steady state. consumption initially rises and continues to increase until reaching the new steady state. that is above the original. consumption initially rises...
According to the Solow model of growth, growth, in the long run (the steady-state), determine only...
According to the Solow model of growth, growth, in the long run (the steady-state), determine only by growth in technology. However, in the Solow model, there is nothing about how technology determined. 1. What factors do you think might affect technology in the long run? 2. Justify your answer and explain the implications to the growth in the long run.
come up with a solow growth model steady state equation for an economy where there is...
come up with a solow growth model steady state equation for an economy where there is population growth and also a lump-sum tax which is put onto all individuals
In the basic Solow model, an economy in a steady state has an economic growth rate...
In the basic Solow model, an economy in a steady state has an economic growth rate equal to a. The depreciation rate b. The savings rate c. The marginal product of capital d. Zero 2. Long time lags in the implementation of monetary policy a. Reduce the ability of the Fed to manage the economy b. Enhance the ability of the Fed to manage the economy c. Reduce the monetary base d. Increase the monetary base 3. An important principle...
Beginning from a steady state in the Solow growth model, explain how an increase in the...
Beginning from a steady state in the Solow growth model, explain how an increase in the savings rate will affect the levels and growth rates of capital and output per worker?
In the Solow growth model, the steady state value of capital per worker will surely increase...
In the Solow growth model, the steady state value of capital per worker will surely increase if: a. The saving rate decreases and population growth increases b. The saving rate increases and population growth decreases c. The saving rate decreases and population growth decreases d. The saving rate increases and population growth increases
. Suppose we started out at the steady state capital stock in the basic Solow growth...
. Suppose we started out at the steady state capital stock in the basic Solow growth model. If the government increased the budget deficit (ceteris paribus) with no effect on the demand for loanable funds from private businesses, then we would expect to see what effects on a. the nation’s capital stock as we move from the original steady state to the new one (and output per worker, y).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT