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Many demographers predict that the United States will have zero population growth in the twenty-first century, in contrast to the average population growth of about 1 percent per year in the twentieth century. Use the Solow model to forecast the effect of this slowdown in population growth on the growth of total output and the growth of output per person. Consider the effects both in the steady-state and in the transition between steady states.

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Darryn D'Souza
Darryn D'SouzaLv10
29 Sep 2019

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Related questions

By manipulating the equations of the Solow model mathematically, it is possible to make more precise quantitative statements about the behavior of growth rates over time. For example, one way of qualifying the principle of transition dynamics is with the following equation.

g = 3 X (ln y* - ln y0) + 2

where g denotes the growth rate of a country over the next 10 years (in percentage points), 1n denotes the natural logarithm, y0 is the per capita GDP of a country in a steady-state (relative to the United States).

Of course, we don't usually know a country's steady-state position vis-Ã -vis of the United States. However, we do observe its growth rate. This question asks you to consider the facts from recent growth experiences in the table below.

Country Current rate Steady-state g
United States 100 2  
Ireland 86 4  
Russia 21 5  
Brazil 17 2  
China 7 9  
India 5 6  
Ethiopia 1 5  

Per capita Growth rate Per capita

GDP (US = 100), during GDP (US = 100),

Country 2010 2000-2010(%) steady state

The United States 100 2.0

Ireland 86 4.0

Russia 21 5.0

Brazil 17 2.0

China 7 9.0

India 5 6.0

Ethiopia 1 5.0

(a) Using those facts and the equation above, fill in the last column of the table. That is, offer a projection of where countries are headed in the long run.

(b) Provide a one-paragraph discussion of your results. 

1. What does the term s*Y represent in the capital-accumulation equation of Solow growth model?

a) The labor-income share of GDP.

b) Net investment.

c) Gross investment.

d) The net change in the capital stock from one year to the other.

2. In the Solow growth model, suppose that the savings rate is 25%, the depreciation rate is 10%, the current capital stock is 10 trillion $ and current output of a country is 4 trillion $. What will the capital stock of this country be in the following period?

a) 10 trillion $.

b) 11 trillion $.

c) We cannot tell since we are not given information about technological progress.

d) We cannot tell since population growth is not known.

3. Consider a country which starts with a capital stock below its steady-state level in the Solow model (without technological change). Why is growth slowing down over time for this country?

a) Population growth is becoming stronger over time since the population is growing, which makes it harder to accumulate high levels of capital per capita.

b) A country cannot maintain the same savings rate forever, so investment must decrease at some point.

c) The more capital there is, the more of it depreciates. As the country becomes richer, it becomes ever harder to replace depreciated capital.

d) There are diminishing returns to the factor capital. Thus investment, capital and GDP per capita grow by ever smaller amounts as the country becomes richer.

4. Suppose Pakistan has a higher savings rate than Iran. Both start out with the same capital per worker. All other parameters are the same for both countries (population growth and depreciation rate). The Solow growth model (without technological change) predicts that...

a)

1. According to economists today, economic growth depends on:

1) resources.

2) technology.

3) institutions.

4) resources and technology.

5) resources, technology, and institutions.

2. Which of the following is FALSE?

1) Real-world observations shape economic theory.

2) Economic theory shapes policy decisions.

3) Policies affect real-world events.

4) Economic theory has no impact on real-world events.

5) None of these statements is false.

3. After the Great Depression, the main focus of macroeconomics was:

1) growth theory.

2) the study of business cycles.

3) the study of stock markets.

4) the study of why businesses fail.

4. The Solow Growth Model serves as a foundation of:

1) macroeconomic theory.

2) microeconomic theory.

3) growth theory.

4) all economic theory.

5. According to the Solow Growth Model, which of the following is/are the primary source(s) of economic growth?

A - Natural resources

B - Human capital

C - Physical capital

D - A and B

E - A and C

F- B and C

G- A, B, and C

6. According to the Solow Growth Model, the marginal product of capital is:

1) zero and increases as the quantity of capital increases

2) zero and decreases as the quantity of capital increases.

3) negative and increases as the quantity of capital increases.

4) negative and decreases as the quantity of capital increases.

5) positive and increases as the quantity of capital increases.

6) positive and decreases as the quantity of capital increases.

7. If building new capital is costless and the capital depreciation rate is zero, then an economy will reach a steady state in which the marginal product of capital is:

1) equal to zero.

2) greater than zero.

3) less than zero.

8. Which of the following is true for an economy before it reaches the steady-state?

1) Investment and net investment are both positive.

2) Investment is positive but net investment is zero.

3) Investment is zero but net investment is positive.

4) Investment and net investment are both zero.

9. The idea of convergence suggests that when underdeveloped nations begin to develop, they typically have _____________ growth rates as they catch up to the developed nations.

1) higher

2) lower

3) similar

4) very low

10. Which of the following is true after allowing for sustained technological advance in the Solow Growth Model?

I. The steady-state situation is avoidable.

II. The marginal product of each unit of capital will increase.

III. A diminishing marginal product is avoidable.

Only I only II

Only III

I and II

I and III

II and III

I, II, and III

11. What is the primary difference between the basic Solow model and the second Solow model?

1) The models are theoretically similar. The second Solow model is only more mathematically complex than the basic model.

2) The second Solow model allows for technological change, while the basic model doesn't.

3) The basic Solow model features diminishing returns, in contrast to the second model.

4) The marginal product eventually becomes zero in the basic model, while such a situation is avoidable in the second Solow model.

12. All of the following can result in economic growth except:

1) improved schools and colleges.

2) a boost in population growth.

3) a favorable climate.

4) an improved health care system.

13. Which of the following will result in a movement along with the aggregate production function?

I. a technological advancement

II. training of the workforce

III. an increase in the country's capital stock

I and II

I and III

II and III

I, II, and III

14. Which of the following is NOT true about technological change in the Solow model?

1) Technological change is random.

2) Technological change occurs exogenously.

3) Technological change is driven by the incentives of the innovators.

4) Technological change is not due to any inherent characteristics of the economy.

15. What is the key difference between the new growth theory and the growth theory as envisioned by Solow?

1) There is no difference; technological change is endogenous in both these theories.

2) There is no difference; technological change is exogenous in both these theories.

3) Technological change is endogenous in the new growth theory and exogenous in the Solow theory.

4) Technological change is exogenous in the new growth theory and endogenous in the Solow theory.

16. Which of the following was proposed by the new growth theory?

I. Capital resources cannot grow indefinitely.

II. Technological change is caused by factors inside the economy.

III. Technological changes are entirely unpredictable events.

IV. Institutions matter.

I and II

I and IV

II and IV

III and IV

I, II, III, and IV

17. All of the following except _____________ are barriers to natural growth.

1) corruption

2) political instability

3) high tax rates

4) free markets

5) All of these are barriers to natural growth.

18. Which of the following is supported by the modern growth theory?

A - Population growth is an obstacle to economic growth.

B - Competition encourages the discovery of new goods and services, which leads to economic growth.

C - A country can grow faster if it disengages itself from international trade with foreign nations.

D - Taxes should be abolished, as they hurt incentives necessary for economic growth.

All of these. A and B

A, B, and D

19. According to the new growth theory, the low living standards in many developing countries can be explained by a lack of:

A - natural resources.

B - free markets.

C - sound institutions.

D - strong military resources.

all of these.

B and C.

A and D.

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