Economic Growth and Productivity — Practice Quiz

A Macroeconomics cheat sheet for Economic Growth and Productivity — every key formula with its symbols defined — plus a medium-level practice quiz to test recall.

Formulas & key concepts

A sustained rise in an economy's productive capacity, measured by real GDP per capita, which removes the effects of both price changes and population size.

Economic Growth

A shortcut for growth: the number of years for real GDP per capita to double equals 70 divided by the annual growth rate.

Rule of 70

Output produced per worker; rising productivity is the key to long-run economic growth.

Labor Productivity

Productivity rises from more physical capital per worker, more human capital per worker, and better technology.

Three Sources of Productivity Growth

Human-made resources such as machinery, buildings, and equipment used to produce goods and services.

Physical Capital

The education, training, and skills embodied in a country's workers.

Human Capital

Advances in the knowledge and methods used to produce goods and services.

Technological Progress

A relationship showing how real GDP per worker depends on physical capital per worker, human capital per worker, and the state of technology.

Aggregate Production Function

Holding human capital and technology fixed, each additional unit of physical capital per worker adds less to productivity than the one before.

Diminishing Returns to Physical Capital

A method that estimates how much each factor of production contributes to economic growth.

Growth Accounting

The amount of output produced from a given quantity of inputs; its growth, usually reflecting technological progress, is central to long-run growth.

Total Factor Productivity

The idea that poorer economies should grow faster and catch up to richer ones, which fits the data only when growth factors like education, infrastructure, and policy are held equal.

Convergence Hypothesis

Differences in how fast countries accumulate capital drive growth differences; high physical-capital investment is usually financed by high domestic savings.

Savings and Investment Rates

Spending devoted to creating new products and production methods, the main engine of technological progress.

Research and Development (R&D)

Growth is helped by infrastructure, a sound banking system, and funding for education and R&D, and is hurt by corruption, political instability, excessive intervention, and weak property rights.

Government's Role in Growth

Long-run economic growth appears as a rightward shift of the long-run aggregate supply curve and an outward shift of the production possibilities curve.

Long-Run Growth in the AD-AS Model

Economists generally see environmental degradation as a bigger threat to sustainable growth than natural resource scarcity, which market prices tend to handle on their own.

Sustainability of Growth

Emissions are tied to growth, but estimates suggest a large cut in emissions would require only a modest reduction in the growth rate, and there is broad support for government action on climate change.

Growth and Greenhouse Gases

The gradual wearing out and loss of value of physical capital over time; a country's capital stock grows only when new investment exceeds depreciation.

Depreciation of Physical Capital

The basic physical systems, such as roads, ports, power grids, telecommunications, and public health facilities, that support economic activity and are a key government contribution to growth.

Infrastructure

Inputs such as land, minerals, and energy; historically an important source of productivity, though a less significant driver of growth in most countries today.

Natural Resources

Rapid, sustained growth has transformed India into one of the world's major economies, illustrating how growth can lift a poor country's standing over a few decades.

India's Economic Rise

Concerns that growth could stall as resources run out, echoing 19th-century worries about Britain exhausting its coal, though market prices tend to blunt resource scarcity by encouraging conservation and substitutes.

Natural Resource Scarcity and Limits to Growth

Estimates of emissions-limiting proposals, such as the Sanders-Boxer plan, suggest that even ambitious climate policy would reduce real GDP per capita only modestly.

The Cost of Climate Protection

Western Europe, considerably poorer than the United States in the 1950s, largely caught up over the following decades, an example of convergence among wealthy nations when growth-supporting conditions are similar.

Convergence in Practice

Practice quiz

  1. If a country's real GDP per capita is growing at an annual rate of $3.5\%$, approximately how many years will it take for its real GDP per capita to double?

    • $10$ years
    • $20$ years
    • $35$ years
    • $70$ years

    Answer: $20$ years

  2. Which of the following is NOT considered a primary source of long-run labor productivity growth?

    • An increase in physical capital per worker.
    • An increase in human capital per worker.
    • An increase in the overall population size.
    • Advances in technology.

    Answer: An increase in the overall population size.

  3. A country invests heavily in improving its road networks, building new factories, and upgrading its telecommunications infrastructure. These investments primarily contribute to an increase in which type of capital?

    • Human capital.
    • Financial capital.
    • Physical capital.
    • Natural capital.

    Answer: Physical capital.

  4. The concept of diminishing returns to physical capital implies that, holding human capital and technology constant, adding more machinery and equipment per worker will eventually lead to:

    • A proportional increase in output per worker.
    • A decrease in total output.
    • Smaller and smaller increases in output per worker.
    • An increase in the rate of technological progress.

    Answer: Smaller and smaller increases in output per worker.

  5. In growth accounting, if the growth in real GDP per worker cannot be fully explained by the growth in physical capital per worker and human capital per worker, the remaining unexplained portion is attributed to:

    • Diminishing returns.
    • Total factor productivity.
    • Depreciation of physical capital.
    • The convergence hypothesis.

    Answer: Total factor productivity.

  6. According to the convergence hypothesis, poorer economies should grow faster and catch up to richer ones, but this is observed in practice primarily when:

    • Poorer countries have larger populations.
    • Richer countries experience economic recessions.
    • Growth factors like education, infrastructure, and policy are similar.
    • Poorer countries have abundant natural resources.

    Answer: Growth factors like education, infrastructure, and policy are similar.

  7. Which of the following government actions is most likely to foster long-run economic growth?

    • Imposing high tariffs on imported goods to protect domestic industries.
    • Investing in public education and research and development.
    • Implementing strict price controls on essential goods.
    • Nationalizing major private industries.

    Answer: Investing in public education and research and development.

  8. In the Aggregate Demand-Aggregate Supply (AD-AS) model, long-run economic growth is best represented by a:

    • Rightward shift of the aggregate demand curve.
    • Leftward shift of the short-run aggregate supply curve.
    • Rightward shift of the long-run aggregate supply curve.
    • Movement along the long-run aggregate supply curve.

    Answer: Rightward shift of the long-run aggregate supply curve.

  9. Modern economists generally view which of the following as a greater threat to sustainable long-run economic growth than natural resource scarcity?

    • Rapid population growth.
    • Environmental degradation.
    • Insufficient physical capital.
    • Lack of human capital.

    Answer: Environmental degradation.

  10. A country's physical capital stock will increase only if:

    • Its depreciation rate decreases.
    • New investment exceeds the rate of depreciation.
    • Its savings rate is lower than its investment rate.
    • Its human capital per worker increases.

    Answer: New investment exceeds the rate of depreciation.

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