What is the equation of motion for capital?
K(t) = sY(t) - δK(t).
What did Malthus argue about the possibilities for long-run economic growth?
That environmental considerations are critical and that fixed resources may eventually deplete, leading to growth failure.
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p.9
Growth Accounting

What is the equation of motion for capital?

K(t) = sY(t) - δK(t).

p.7
Environmental Limitations

What did Malthus argue about the possibilities for long-run economic growth?

That environmental considerations are critical and that fixed resources may eventually deplete, leading to growth failure.

p.7
Resource and Land Limitations

How do fixed supply of land and natural resources affect long-run growth?

They may become binding constraints on our ability to produce.

p.13
Pollution and Economic Growth

How does pollution affect properly measured output?

It reduces properly measured output.

p.5
Empirical Applications

How did the inclusion of new countries affect the case for convergence?

It weakened the case for convergence considerably.

p.13
Optimal Pollution Tax

What is the alternative approach to controlling pollution mentioned in the text?

Auction off a quantity of tradable permits that allow the socially optimal level of pollution.

p.14
Climate Change

What is the estimated reduction in GDP by 2100 due to climate change?

2 to 3 percent.

p.16
Solow Residual

Is output per unit of effective labor higher, lower, or the same as it was before the new workers appeared once the economy has reached a balanced growth path?

It is the same as it was before the new workers appeared. This is because the economy has adjusted to the new number of workers and reached a balanced growth path.

p.16
Growth Accounting

What is the immediate effect of the rise in investment on consumption?

The immediate effect is an increase in consumption. It takes some time for consumption to return to what it would have been without the rise in investment.

p.9
Growth Accounting

What is the growth rate of Y on the balanced growth path denoted as?

g bgp Y.

p.8
Growth Accounting

What is the baseline case for analyzing natural resources and land?

Cobb Douglas production.

p.8
Resource and Land Limitations

What are the new assumptions concerning resources and land in the Solow Growth Model?

The amount of land on earth is fixed, and resource use must eventually decline.

p.5
Empirical Applications

What countries were added to the sample in DeLong's study?

Argentina, Chile, East Germany, Ireland, New Zealand, Portugal, and Spain.

p.15
Solow Residual

How does the rate of depreciation falling affect the break-even and actual investment lines in the Solow model?

It affects them in a certain way.

p.12
Growth Accounting

What does the declining share of income going to resources and land imply?

It implies a falling growth drag.

p.2
Growth Accounting

What did the study by Byrne, Fernald, and Reinsdorf show about mismeasurement of productivity growth?

While there is evidence of mismeasurement, there is no evidence that it is greater in recent years than before.

p.4
Empirical Applications

What does the regression coefficient estimate suggest?

Almost perfect convergence.

p.10
Solow Residual

What does equation (1.44) tell us about gK?

gK equals s(Y/K) - δ.

p.3
Convergence

What is the concept of convergence in the context of growth?

The idea that poor countries tend to grow faster than rich countries.

p.13
Optimal Pollution Tax

Why does an unregulated market lead to excessive pollution?

Because those who pollute do not bear the costs of their pollution.

p.13
Optimal Pollution Tax

What is the socially optimal level of pollution?

The level at which private and social costs are in line.

p.2
Growth Accounting

What has growth accounting been fruitfully applied to?

Many issues, including the rapid growth of newly industrializing countries of East Asia and productivity growth in the United States.

p.14
Climate Change

According to Nordhaus, what is the likely effect of drastic measures to combat climate change?

Much more harmful than doing nothing.

p.16
Solow Residual

What happens to output per unit of effective labor at the time of a one-time jump in the number of workers?

It rises. This is because the same amount of capital is now being used by more workers, leading to increased output per unit of effective labor.

p.16
Growth Accounting

By about how much does consumption rise relative to what it would have been without the rise in investment?

Consumption rises by approximately 2.22% relative to what it would have been without the rise in investment.

p.9
Growth Accounting

What does the equation ln Y(t) = α ln K(t) + β ln R(t) + γ ln T(t) + (1 - α - β - γ)[ln A(t) + ln L(t)] represent?

The production function.

p.6
Growth Accounting

What does ln[(Y/N)i,1870]* represent in the model?

The true value of log income per capita in 1870.

p.6
Empirical Applications

What does DeLong argue about the measurement error in the 1870 data?

He argues that even moderate measurement error has a substantial impact on the results.

p.6
Empirical Applications

What impact does plausible amounts of measurement error have on Baumol's estimate of convergence?

It eliminates most or all of the remainder of Baumol’s estimate of convergence.

p.12
Solow Residual

What is the reason that production in the model does not decline?

Cobb Douglas production ensures a given percentage change in A always produces the same percentage change in output.

p.13
Optimal Pollution Tax

What is the correct policy to deal with pollution according to the text?

Estimate the dollar value of the negative externality and tax pollution by this amount.

p.2
Growth Accounting

What fraction of growth does growth accounting attribute to the residual in the Solow model?

Fraction 1 - α K (k*)

p.14
Climate Change

What is the estimated reduction in average annual growth due to climate change?

About 0.03 percentage points.

p.14
Optimal Pollution Tax

How much would a tax on carbon emissions add to the cost of a gallon of gasoline?

$0.20.

p.16
Growth Accounting

What saving rate is needed to yield the golden-rule capital stock?

The saving rate needed to yield the golden-rule capital stock is the rate that ensures the economy reaches the optimal level of capital per effective worker.

p.16
Solow Residual

Describe the effect of the fall in population growth on the path of output in a Solow economy.

The total output increases as the population growth falls, leading to a higher path of output in the economy.

p.8
Solow Residual

What is the Solow Growth Model?

A model used to analyze economic growth over time.

p.6
Solow Residual

What is the model proposed by DeLong?

ln[(Y/N)i,1979] - ln[(Y/N)i,1870]* = a + b ln[(Y/N)i,1870]* + εi

p.1
Growth Accounting

How is the growth rate of output per worker decomposed in growth accounting?

Into the contribution of growth of capital per worker and the Solow residual.

p.1
Growth Accounting

What does growth accounting examine?

The immediate determinants of growth, such as factor accumulation and improvements in the quality of inputs.

p.10
Solow Residual

How does gK behave if Y/K is falling?

gK is falling as well.

p.15
Growth Accounting

According to the 1.2 problem, what happens to the growth rate of variable X over time?

It drops to 0 at time t1, rises gradually from 0 to a from time t1 to time t2, and is constant and equal to a after time t2.

p.5
Empirical Applications

What problem did DeLong identify related to measurement error?

Estimates of real income per capita in 1870 are imprecise, creating bias toward finding convergence.

p.12
Growth Accounting

What does the declining share of income going to resources and land despite their relative scarcity indicate?

It indicates that the elasticity of substitution between these inputs and the others is greater than 1.

p.2
Growth Accounting

What do the results of growth accounting suggest for other countries?

They can replicate the success of NICs by promoting accumulation of physical and human capital and greater use of resources.

p.14
Tail Risks and Tipping Points

What are tail risks in the context of climate change?

The small chance that outcomes will be vastly worse than the point estimates.

p.14
Discount Rate and Climate Change

What debate is mentioned as a good introduction to the question of how to discount the costs and benefits of actions to mitigate climate change?

The debate between Nordhaus and Stern.

p.16
Solow Residual

What happens to the balanced-growth-path values of capital per worker, output per worker, and consumption per worker when the rate of population growth falls?

They all increase. As the rate of population growth falls, the economy adjusts to a new balanced growth path with higher values for these variables.

p.16
Growth Accounting

By about how much does output eventually rise relative to what it would have been without the rise in investment?

Output eventually rises by approximately 6.67% relative to what it would have been without the rise in investment.

p.9
Solow Residual

What is needed for a balanced growth path?

That K and Y each grow at a constant rate.

p.5
Empirical Applications

What is the period for the log per capita income growth shown in the figure?

1870–1979.

p.5
Empirical Applications

How does the sample selection bias affect the comparison of growth rates?

It may lead to poorer countries appearing to grow faster than richer ones.

p.5
Empirical Applications

What rule is suggested to eliminate the bias in sample selection?

Using a rule not based on the variable being explained, which is growth over the period 1870–1979.

p.7
Empirical Applications

What does the high price of limited resources in the future imply?

Owners do not want to sell their resources cheaply today.

p.12
Growth Accounting

How does the share of income going to inputs that are becoming scarcer change over time if the elasticity of substitution is less than 1?

It rises over time.

p.14
Climate Change

What is the estimated rise in average temperature over the next century in the absence of major intervention?

3 to 4 degrees centigrade.

p.16
Solow Residual

By about how much does a fall in the rate of population growth from 2 percent to 1 percent raise y*?

It raises y* by approximately 0.67%. This is calculated using the elasticity of output per unit of effective labor with respect to the rate of population growth.

p.1
Solow Residual

What does the Solow residual measure?

The contribution of technological progress and all sources of growth other than the contribution of capital accumulation via its private return.

p.3
Empirical Applications

What did Hsieh and Klenow estimate across manufacturing plants?

Dispersion in the value of the marginal products of labor and capital.

p.4
Empirical Applications

What is the problem of 'sample selection' in this context?

Countries with long data series are generally those that are the most industrialized today.

p.7
Growth Accounting

What implication does the existence of property rights for environmental goods have?

Markets provide valuable signals concerning how the goods should be used.

p.10
Growth Accounting

What is the condition for the economy to converge to the balanced growth path described in the text?

(1 - α - β - γ)(n + g) + (1 - α)δ - βb is positive.

p.11
Empirical Applications

How does Nordhaus estimate the growth drag caused by environmental limitations?

By using income data to estimate the importance of resources and land in production.

p.2
Growth Accounting

How has growth accounting been used to study the recent and prospective behavior of productivity growth in the United States and other major industrialized countries?

To look at the role of computers and other types of information technology in high productivity growth and the failure of the growth rebound to spread broadly to other sectors.

p.16
Solow Residual

After the initial change in output per unit of effective labor when new workers appear, is there any further change?

Yes, there is a further change. It rises because the economy adjusts to the new number of workers, leading to increased output per unit of effective labor.

p.16
Growth Accounting

What are w and r in the Solow model?

w denotes the marginal product of labor, and r denotes the difference between the marginal product of capital and the depreciation rate.

p.1
Growth Accounting

What is the production function used in growth accounting?

Y(t) = F(K(t), A(t)L(t))

p.4
Growth Accounting

What does a value of 'b' of 0 imply?

That growth is uncorrelated with initial income and there is no convergence.

p.3
Empirical Applications

What would happen if inputs were allocated more efficiently according to Hsieh and Klenow's analysis?

Overall productivity in manufacturing in China and India would rise by roughly 50 percent.

p.15
Growth Accounting

What does the growth rate of a variable equal?

The time derivative of its log.

p.10
Resource and Land Limitations

What are the drags on growth according to the text?

The declining quantities of resources and land per worker.

p.12
Growth Accounting

What happens to the share of income going to inputs that are becoming scarcer if the elasticity of substitution is greater than 1?

It falls over time.

p.12
Growth Accounting

What does the recognition of large possibilities for substitution imply?

It implies that there are often large possibilities for substitution among inputs.

p.11
Resource and Land Limitations

What is the complication related to the stock of land and resource use?

The stock of land is fixed, and resource use must eventually fall, posing a potential constraint on our ability to produce.

p.16
Growth Accounting

What is the golden-rule value of k?

The golden-rule value of k is the level of capital per effective worker that maximizes consumption in the steady state.

p.4
Solow Residual

What is the Solow Growth Model?

A model used to analyze economic growth over time.

p.8
Optimal Pollution Tax

Why is the case for government intervention stronger for environmental goods with no property rights?

Because firms can pollute without compensating the people they harm, leading to externalities.

p.13
Resource and Land Limitations

What are the different means of storage mentioned in the text?

Microfilm, videotape, DVDs, hard drives, and more.

p.13
Resource and Land Limitations

How can the economy respond to the increasing scarcity of resources and land?

By moving to means of information storage that use those inputs less intensively.

p.10
Growth Accounting

What does equation (1.48) imply about the growth rate of output per worker on the balanced growth path?

It can be either positive or negative.

p.3
Convergence

What are the three reasons for expecting convergence between poor and rich countries?

Predictions from the Solow model, lower rate of return on capital in countries with more capital per worker, and lags in the diffusion of knowledge.

p.11
Resource and Land Limitations

What is the 'growth drag' from resource and land limitations?

The difference between growth in a hypothetical case with no limitations and growth in the case of resource and land limitations.

p.11
Empirical Applications

What is Nordhaus' point estimate for the growth drag caused by environmental limitations?

0.0024, about a quarter of a percentage point per year.

p.4
Growth Accounting

What does the term 'perfect convergence' refer to?

Higher initial income on average lowers subsequent growth one-for-one.

p.7
Solow Residual

What environmental considerations are absent from the Solow model?

Natural resources, pollution, and other environmental considerations.

p.15
Climate Change

What is the impact of climate change on growth according to the 45 problems?

Likely to be no more than moderate.

p.15
Optimal Pollution Tax

What are the welfare costs of externalities from other types of pollution estimated to be by Nordhaus (1992)?

Roughly 0.04 percentage points.

p.6
Empirical Applications

What evidence of convergence is shown in Figure 1.9?

There is little evidence of convergence.

p.12
Growth Accounting

What is the elasticity of substitution between inputs in Cobb Douglas production?

1.

p.2
Growth Accounting

What is the Solow growth model on its balanced growth path?

The growth coming entirely from growth in A.

p.2
Growth Accounting

According to growth accounting, what are the proximate determinants of higher growth in newly industrializing countries of East Asia?

Rising investment, increasing labor force participation, and improving labor quality.

p.14
Optimal Pollution Tax

What is the estimated social cost of carbon according to Greenstone, Kopits, and Wolverton?

About $20 per ton.

p.14
Discount Rate and Climate Change

What is the second important issue in the analysis of climate change according to the text?

The appropriate discount rate.

p.16
Growth Accounting

What are the expressions for k*, y*, and c* as functions of the parameters of the Cobb Douglas production function?

k* = (s / (n + g + δ))^(1 / (1 - α)), y* = k*^α, c* = (1 - s) * y*.

p.8
Environmental Limitations

What is the implication of the existence of property rights for an environmental good?

It allows the use of the good's price to obtain evidence about its importance in production.

p.3
Convergence

According to the Solow model, what does convergence to balanced growth paths imply?

Poor countries catch up to rich ones as differences in output per worker arise from countries being at different points relative to their balanced growth paths.

p.10
Resource and Land Limitations

What is the impact of resource and land limitations on growth?

They can cause output per worker to eventually be falling, but they need not.

p.11
Resource and Land Limitations

What factors contribute to the increase in growth drag?

Resources’ share (β), land’s share (γ), the rate that resource use is falling (b), the rate of population growth (n), and capital’s share (α).

p.11
Environmental Limitations

What does the evidence suggest about the reduction in growth caused by environmental limitations?

It is not large, and there would have to be very large changes for resource and land limitations to cause income per worker to start falling.

p.2
Growth Accounting

How has growth accounting been used to shed light on macroeconomic questions?

By applying growth-accounting techniques at the firm level to study the importance of misallocation.

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