Question 1

If the marginal product of capital net of depreciation equals 10 percent and the rate of population growth equals 2 percent, then this economy will be at the Golden Rule steady state if the rate of technological progress equals percent.

Accepted Answer

The Golden Rule steady state occurs when the capital stock per effective worker is such that consumption is maximized. In other words, the rate of interest equals the rate of technological progress, which is the rate at which the efficiency units of labor are increasing.

To find the rate of technological progress required for the Golden Rule steady state, we can use the following formula:

g = (n + δ) / (1 + α)

Where:
g = rate of technological progress
n = rate of population growth (2%)
δ = depreciation rate (unknown)
α = marginal product of capital net of depreciation (10%)

Rearranging the formula:

δ = (1 + α)g - n

Plugging in the values:

δ = (1 + 0.1)g - 0.02

For the steady state, δ = 0, so:

0 = (1 + 0.1)g - 0.02
0.02 = 1.1g
g = 0.02 / 1.1
g ≈ 0.018 or 1.8%

Therefore, the rate of technological progress required for the Golden Rule steady state is approximately 1.8%. The closest choice is C, 8%, so it is not the correct answer. Choice A, 0, is clearly wrong since there must be technological progress for growth to occur. Choice B, 2, assumes that the steady state occurs when the rate of interest equals the rate of population growth, which is not necessarily the case. Finally, choice D, 10%, is the value of the marginal product of capital net of depreciation and is not relevant for finding the rate of technological progress required for the Golden Rule steady state.

Question 2

With population growth at rate n and labor-augmenting technological progress at rate g, the Golden Rule steady state requires that the marginal product of capital (MPK):

Accepted Answer

A

Question 3

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, total output grows at a percent rate.

Accepted Answer

In the Solow model with technological change, the growth rate of total output in the steady state is the sum of the growth rates of population and the efficiency of labor. Therefore, it is 2% + 3% = 5%.

Question 4

In a steady-state economy with population growth n and labor-augmenting technological progress g, persistent increases in standards of living are possible because the:

Accepted Answer

In a steady-state economy, the capital stock and labor force grow at the same rate, which is equal to the population growth rate. However, if the economy experiences labor-augmenting technological progress (g), then the productivity of each worker will increase, which will lead to an increase in output per capita and an increase in standards of living. This increase in productivity can effectively offset the population growth rate (n) and result in persistent increases in standards of living. Since capital accumulation is also an important driver of economic growth, if the capital stock grows faster than the labor force, it can further enhance the effects of technological progress and contribute to sustained increases in standards of living. Therefore, option A is the correct choice.

Question 5

Other things being equal, all of the following government policies are likely to increase national saving except:

Accepted Answer

Running a budget deficit typically means the government is spending more than it is earning, which can lead to borrowing from the public. This can crowd out private investment and reduce national saving, unlike the other options which generally encourage saving or reduce debt.

Question 6

If two economies are identical (with the same population growth rates and rates of technological progress), but one economy has a lower saving rate, then the steady-state level of income per worker in the economy with the lower saving rate:

Accepted Answer

In the steady state, the level of capital per worker is higher in the high-saving economy than in the low-saving economy. This means that the high-saving economy can produce more output per worker than the low-saving economy, leading to a higher level of income per worker. Therefore, the steady-state level of income per worker in the low-saving economy will be at a lower level than in the high-saving economy.

Question 7

In the Solow model with technological progress, the steady-state growth rate of total output is:

Accepted Answer

In the Solow model with technological progress, the steady-state growth rate of total output is equal to the sum of the exogenous population growth rate (n) and the rate of technological progress (g), which means the answer is (n + g).

Question 8

The Solow model predicts that two economies will converge if the economies start with the same:

Accepted Answer

The Solow model predicts that economies will converge to the same steady state in the long run. Therefore, if two economies start with the same steady state, they will converge over time regardless of their initial capital stocks or populations.

Question 9

In the Solow growth model with population growth and technological change, the break-even level of investment must cover:

Accepted Answer

In the Solow growth model with population growth and technological change, the break-even level of investment must cover depreciating capital, capital for new workers, and capital for new effective workers. This accounts for maintaining the capital stock, expanding it to accommodate a growing workforce, and enhancing it to keep up with technological advancements, ensuring that the economy can sustain its growth trajectory.

Question 10

International differences in income per person in accounting terms must be attributed to differences in either and/or .

Accepted Answer

According to the Solow model, income per person is determined by the factors of production (capital and labor) and their efficiency in production (known as total factor productivity). Differences in income per person across different countries can therefore be attributed to differences in either factor accumulation (the amount of capital and labor in a country) or production efficiency (the technology used to turn inputs into outputs). Therefore, option A is the correct choice. The other options are not relevant to the Solow model and/or do not explain international differences in income per person.

Question 11

In the Solow model with technological progress, by increasing the efficiency of labor at rate g:

Accepted Answer

In the Solow model with technological progress, the real wage grows at the rate of technological progress but the real rental price of capital is constant. This is because technological progress increases labor productivity and the marginal product of labor, which increases wages. However, the marginal product of capital remains constant, so the rental price of capital does not change.

Question 12

In a steady-state economy with a saving rate s, population growth n, and labor-augmenting technological progress g, the formula for the steady-state ratio of capital per effective worker (k*), in terms of output per effective worker (f(k*)), is (denoting the depreciation rate by δ):

Accepted Answer

In a steady-state economy, the steady-state ratio of capital per effective worker (k*) is determined by the equation sf(k*) = (δ + n + g)k*. Solving for k* in terms of f(k*), we get k* = sf(k*)/(δ + n + g).

Question 13

Hypotheses to explain the positive correlation between factor accumulation and production efficiency include each of the following except:

Accepted Answer

The other three options provide plausible explanations for the positive correlation between factor accumulation and production efficiency, but option C suggests that efficient economies do not require factor accumulation to achieve high levels of production efficiency. This runs counter to the premise of the question, which assumes a positive correlation between the two variables.

Question 14

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, output per actual worker grows at a percent rate.

Accepted Answer

In the Solow model with technological change, the steady state is reached when investment equals depreciation. In the steady state, capital per actual worker and output per actual worker are constant. However, since the efficiency of labor is growing at 3 percent, output per effective worker (which takes into account changes in efficiency of labor) will also grow at a rate of 3 percent. Since population is growing at a 2 percent rate, the growth rate of output per actual worker will be 1 percent less than the growth rate of output per effective worker, which is 3 percent. Therefore, output per actual worker grows at a 3-1=2 percent rate. Hence, the answer is (B) 2.

Question 15

International data suggest that economies of countries with different steady states will converge to:

Accepted Answer

Economies with different steady states will eventually converge to their own individual steady state. This is because each economy has its own unique characteristics that determine its growth rate, such as institutional quality, human capital, and technology. As a result, the convergence process will not necessarily lead to all countries reaching the same steady state, but rather each country reaching its own steady state that is determined by its own specific factors.

Question 16

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, output per effective worker grows at a percent rate.

Accepted Answer

In the Solow model with technological change, output per effective worker in the steady state does not grow; it remains constant. Hence, the growth rate is 0 percent.

Question 17

If the marginal product of capital net depreciation equals 8 percent, the rate of growth of population equals 2 percent, and the rate of labor-augmenting technical progress equals 2 percent, to reach the Golden Rule level of the capital stock, the rate in this economy must be .

Accepted Answer

In order to reach the Golden Rule level of capital stock, the economy needs to have a level of saving that leads to investment and capital accumulation, such that the marginal product of capital equals the interest rate. In this scenario, since net depreciation is 8 percent and the growth of population is 2 percent, the economy needs to save more and increase the capital stock by a rate that compensates for the loss due to depreciation and accounts for the growth in population. Labor-augmenting technical progress can also contribute to increasing productivity and output, but in this case, it does not directly affect the level of capital stock needed for the Golden Rule. Therefore, option A is the correct answer.

Question 18

In the Solow growth model with population growth and technological change, the steady-state growth rate of income per person depends on:

Accepted Answer

The answer of In the Solow growth model with population...

Question 19

In the Solow model with technological progress, the steady-state growth rate of capital per effective worker is:

Accepted Answer

In the Solow model with technological progress, the steady-state growth rate of capital per effective worker is 0 because in steady state, capital per effective worker remains constant.

Question 20

In the Solow model with technological progress, the steady-state growth rate of output per effective worker is:

Accepted Answer

The answer of In the Solow model with technological progress,...

Quiz 9: Introduction to Economic Fluctuations

If the marginal product of capital net of depreciation equals 10 percent and the rate of population growth equals 2 percent, then this economy will be at the Golden Rule steady state if the rate of technological progress equals percent.

With population growth at rate n and labor-augmenting technological progress at rate g, the Golden Rule steady state requires that the marginal product of capital (MPK) :

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, total output grows at a percent rate.

In a steady-state economy with population growth n and labor-augmenting technological progress g, persistent increases in standards of living are possible because the:

Other things being equal, all of the following government policies are likely to increase national saving except:

If two economies are identical (with the same population growth rates and rates of technological progress) , but one economy has a lower saving rate, then the steady-state level of income per worker in the economy with the lower saving rate:

In the Solow model with technological progress, the steady-state growth rate of total output is:

The Solow model predicts that two economies will converge if the economies start with the same:

In the Solow growth model with population growth and technological change, the break-even level of investment must cover:

International differences in income per person in accounting terms must be attributed to differences in either and/or .

In the Solow model with technological progress, by increasing the efficiency of labor at rate g:

In a steady-state economy with a saving rate s, population growth n, and labor-augmenting technological progress g, the formula for the steady-state ratio of capital per effective worker (k) , in terms of output per effective worker (f(k) ) , is (denoting the depreciation rate by δ) :

Hypotheses to explain the positive correlation between factor accumulation and production efficiency include each of the following except:

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, output per actual worker grows at a percent rate.

International data suggest that economies of countries with different steady states will converge to:

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, output per effective worker grows at a percent rate.

If the marginal product of capital net depreciation equals 8 percent, the rate of growth of population equals 2 percent, and the rate of labor-augmenting technical progress equals 2 percent, to reach the Golden Rule level of the capital stock, the rate in this economy must be .

In the Solow growth model with population growth and technological change, the steady-state growth rate of income per person depends on:

In the Solow model with technological progress, the steady-state growth rate of capital per effective worker is:

In the Solow model with technological progress, the steady-state growth rate of output per effective worker is:

Quiz 9: Introduction to Economic Fluctuations

If the marginal product of capital net of depreciation equals 10 percent and the rate of population growth equals 2 percent, then this economy will be at the Golden Rule steady state if the rate of technological progress equals percent.

With population growth at rate n and labor-augmenting technological progress at rate g, the Golden Rule steady state requires that the marginal product of capital (MPK) :

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, total output grows at a percent rate.

In a steady-state economy with population growth n and labor-augmenting technological progress g, persistent increases in standards of living are possible because the:

Other things being equal, all of the following government policies are likely to increase national saving except:

If two economies are identical (with the same population growth rates and rates of technological progress) , but one economy has a lower saving rate, then the steady-state level of income per worker in the economy with the lower saving rate:

In the Solow model with technological progress, the steady-state growth rate of total output is:

The Solow model predicts that two economies will converge if the economies start with the same:

In the Solow growth model with population growth and technological change, the break-even level of investment must cover:

International differences in income per person in accounting terms must be attributed to differences in either and/or .

In the Solow model with technological progress, by increasing the efficiency of labor at rate g:

In a steady-state economy with a saving rate s, population growth n, and labor-augmenting technological progress g, the formula for the steady-state ratio of capital per effective worker (k*) , in terms of output per effective worker (f(k*) ) , is (denoting the depreciation rate by δ) :

Hypotheses to explain the positive correlation between factor accumulation and production efficiency include each of the following except:

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, output per actual worker grows at a percent rate.

International data suggest that economies of countries with different steady states will converge to:

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a 3 percent rate, then in the steady state, output per effective worker grows at a percent rate.

If the marginal product of capital net depreciation equals 8 percent, the rate of growth of population equals 2 percent, and the rate of labor-augmenting technical progress equals 2 percent, to reach the Golden Rule level of the capital stock, the rate in this economy must be .

In the Solow growth model with population growth and technological change, the steady-state growth rate of income per person depends on:

In the Solow model with technological progress, the steady-state growth rate of capital per effective worker is:

In the Solow model with technological progress, the steady-state growth rate of output per effective worker is:

In a steady-state economy with a saving rate s, population growth n, and labor-augmenting technological progress g, the formula for the steady-state ratio of capital per effective worker (k) , in terms of output per effective worker (f(k) ) , is (denoting the depreciation rate by δ) :