Economic Growth I: Solow Model Insights
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Questions and Answers

What is the effect of even a small change in the long-run rate of economic growth on living standards?

  • It can drastically change living standards over time. (correct)
  • It only matters for wealthy countries.
  • It has no significant effect.
  • It only affects living standards in the short term.
  • What annual growth rate would result in the highest increase in living standards after 100 years?

  • 3.0%
  • 2.0%
  • 2.5% (correct)
  • 1.0%
  • What was the potential increase in earnings per person if the annual growth rate of U.S. real GDP per capita had been just one-tenth of one percent higher from 2000 to 2010?

  • $2,282
  • $1,500
  • $2,782 (correct)
  • $3,000
  • Which of the following factors is NOT mentioned as correlated with economic growth?

    <p>Unemployment rate (A)</p> Signup and view all the answers

    How does a small increase in the economic growth rate influence a significant number of people?

    <p>It can improve the conditions of hundreds of millions. (A)</p> Signup and view all the answers

    What does economic growth primarily raise?

    <p>Living standards (A)</p> Signup and view all the answers

    Which of the following is NOT a consequence of increased poverty?

    <p>Increased literacy rates (B)</p> Signup and view all the answers

    What percentage of people in Pakistan live on less than $2 per day?

    <p>85% (C)</p> Signup and view all the answers

    What model is addressed in this chapter to understand economic growth?

    <p>Closed economy Solow model (C)</p> Signup and view all the answers

    What relationship does a country's standard of living have with its saving rate?

    <p>It improves with higher saving rates (A)</p> Signup and view all the answers

    Which of the following statements is true about the Golden Rule in economic growth?

    <p>It finding the optimal saving rate and capital stock (C)</p> Signup and view all the answers

    Which country had a lower percentage of its population living on $2 per day in 2000 compared to others listed?

    <p>Mexico (D)</p> Signup and view all the answers

    How does poverty correlate with the occurrence of famines?

    <p>Famine occurs more frequently in poorer countries (D)</p> Signup and view all the answers

    What is one of the main objectives of the lessons discussed?

    <p>To learn why poor countries are poor (A)</p> Signup and view all the answers

    Which economist is associated with the Solow model?

    <p>Robert Solow (D)</p> Signup and view all the answers

    In the Solow model, which component is emphasized as flexible rather than fixed?

    <p>Capital K (B)</p> Signup and view all the answers

    What does the production function in the Solow model indicate when expressed as Y = F(K, L)?

    <p>Output is a function of capital and labor (D)</p> Signup and view all the answers

    In the Solow model, what is the simplified consumption function characterized by?

    <p>Simplicity and clarity in representation (A)</p> Signup and view all the answers

    How does population growth affect the components of the Solow model?

    <p>It causes labor (L) to grow (B)</p> Signup and view all the answers

    What does 'MPK' represent in the context of the production function?

    <p>Marginal Product of Capital (A)</p> Signup and view all the answers

    What does the expression y = f(k) in the production function signify?

    <p>Output per worker is a function of capital per worker (D)</p> Signup and view all the answers

    What does the Solow model predict about countries with higher population growth rates?

    <p>They will have lower levels of capital and income per worker. (B)</p> Signup and view all the answers

    In the context of the Golden Rule steady state, when is c* maximized?

    <p>When MPK equals depreciation plus the population growth rate. (A)</p> Signup and view all the answers

    What was the primary concern of the Malthusian Model regarding population growth?

    <p>It predicts population will outstrip food production, causing impoverishment. (A)</p> Signup and view all the answers

    According to the Kremerian Model, how does population growth contribute to economic growth?

    <p>By increasing the number of innovators and advancements. (B)</p> Signup and view all the answers

    What does the Solow growth model imply about the relationship between saving rate and standard of living?

    <p>A country's standard of living depends positively on its saving rate. (D)</p> Signup and view all the answers

    Which of the following accurately reflects the findings regarding world population growth since Malthus's predictions?

    <p>Living standards have improved significantly despite population increases. (B)</p> Signup and view all the answers

    Which equation correctly expresses c* in terms of k* in the Golden Rule?

    <p>c* = f(k*) - (δ + n)k* (D)</p> Signup and view all the answers

    What does MPK equal when the Golden Rule steady state is achieved?

    <p>MPK = δ + n (A)</p> Signup and view all the answers

    What does the variable $\Delta k$ represent in the equation $\Delta k = sf(k) - \delta k$?

    <p>Change in capital stock (B)</p> Signup and view all the answers

    What condition must be met for capital per worker to remain constant at the steady state $k*$?

    <p>Investment must cover depreciation (A)</p> Signup and view all the answers

    In the context of the Solow model, what does the term $s f(k)$ represent?

    <p>Investment in capital (B)</p> Signup and view all the answers

    If $k < k*$, what will happen to the capital stock in the Solow model?

    <p>Capital stock will grow (C)</p> Signup and view all the answers

    What effect does an increase in the savings rate $s$ have on the steady state capital stock $k*$?

    <p>Increases the steady state capital stock (C)</p> Signup and view all the answers

    What happens to $\Delta k$ as the capital per worker approaches the steady state $k*$?

    <p>$\Delta k$ decreases toward zero (D)</p> Signup and view all the answers

    What does $, \delta k$ represent in the equation $\Delta k = s f(k) - \delta k$?

    <p>Total depreciation (D)</p> Signup and view all the answers

    In the Solow model, if investment exceeds depreciation, which statement is true?

    <p>Capital per worker will increase (B)</p> Signup and view all the answers

    How does the function $f(k)$ relate to income per person in the Solow model?

    <p>It determines output at a given capital per worker (A)</p> Signup and view all the answers

    What does the variable 's' represent in the context of the consumption function?

    <p>The fraction of income that is saved (B)</p> Signup and view all the answers

    What is the correct rearrangement of the national income identity, represented as y = c + i?

    <p>c = y - i (D)</p> Signup and view all the answers

    How is saving per worker calculated in this economic model?

    <p>y - c (D)</p> Signup and view all the answers

    In the expression i = sy = sf(k), what does 'i' represent?

    <p>Investment per worker (A)</p> Signup and view all the answers

    What is the main concept of capital accumulation described in the content?

    <p>Investment increases the capital stock while depreciation decreases it (A)</p> Signup and view all the answers

    What does depreciation per worker ($ackslash delta k$) indicate?

    <p>The fraction of the capital stock that wears out each period (B)</p> Signup and view all the answers

    Which equation expresses the consumption function in per worker terms?

    <p>c = (1-s)y (D)</p> Signup and view all the answers

    In the national income identity per worker, what does 'y' represent?

    <p>Income per worker (B)</p> Signup and view all the answers

    Study Notes

    Economic Growth I: Capital Accumulation and Population Growth

    • This chapter covers the closed economy Solow model.
    • The model demonstrates how a country's standard of living depends on its saving and population growth rates.
    • The model examines how to use the "Golden Rule" to find the optimal saving rate and capital stock.
    • It explains how output (y) changes over time, and why some countries are rich or poor.
    • A country's wealth depends on investment and depreciation, including both its rate of saving and the percentage of capital wearing out in any given period.
    • Infant mortality rates are significantly higher in the poorest countries (20%) compared to the richest (0.4%).
    • In Pakistan, 85% of the population lives on less than $2/day illustrating high poverty levels.
    • Many of the poorest countries have experienced famines over recent decades.
    • Poverty is often associated with oppression of women and minorities.
    • Economic growth improves living standards and reduces poverty.
    • Income per capita and related factors like life expectancy, infant mortality, malaria deaths, adult literacy, and cell phone users are correlated, indicating that economic growth is associated with a better quality of life.
    • Small changes in long-term economic growth rates have enormous impacts on living standards over the long term.
    • A one-tenth of one percent increase in the annual growth rate of U.S. real GDP per capita from 2000 to 2010 would have resulted in $2,782 more income per person in that decade.
    • The Solow model, developed by Robert Solow, provides a framework for analyzing economic growth.
    • It's a major paradigm in policy making, acting as a benchmark for evaluating the performance of economic growth theories.
    • The Solow model analyses the driving factors for economic growth and long-term standard of living.
    • The Solow model differs from previous models by considering investment and depreciation affecting capital stock, as well as population growth affecting the labor force.
    • The simple consumption function becomes simpler.
    • The model uses the production function Y = F(K, L) to analyze the relationship between output, capital (K), and labor (L) in an economy.
    • This model simplifies the analysis by using the per-worker production function y = f(k) where y = Y/L and k = K/L.
    • The production function exhibits diminishing MPK (marginal product of capital).
    • The national income identity Y = C + I is introduced.
    • Saving rates (s) are an important exogenous factor.
    • Consumption function is c = (1-s)y.
    • Saving = y - c = sy, where y is output per worker and c is consumption per worker.
    • Investment is equal to saving for model simplification.
    • The relationship between s, f(k), and k is used to calculate the rate of change of k over time (Δk).
    • If investment is sufficient to cover depreciation, the change in capital per worker will remain constant(Ak = 0).
    • Determining the steady state value of k is done by analyzing investment and depreciation rates in relation to k and its point of equilibrium.
    • Population growth impacts investment rates, reducing income per capita in the long run.
    • Break-even investment is the total amount of investment required to keep capital per worker relatively constant during a period.
    • The Solow model equation, with population growth, is Δk = s f(k) – (δ + n) k.
    • The 'Golden Rule' capital stock(k gold) finds the maximum sustained level of consumption per person, which occurs at the point where MPK (Marginal Product of Capital) = δ + n (the depreciation rate plus the population growth rate).
    • Transition to Golden Rule steady state is often not easy, as adjustments in saving rates in relation to capital, population growth, and other factors can result in a period of declining consumption until higher rates are achieved.
    • Capital accumulation is affected by investment rates and depreciation rates.
    • Population growth leads to a lower steady state capital stock and income overall.
    • Alternative views such as the Malthusian model predict population growth exceeding resource production, leading to societal impoverishment.
    • Kremer's model, in contrast, argues that population increase positively influences economic growth via increases in technological advancement.

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    Explore the closed economy Solow model in this quiz focused on capital accumulation and population growth. Understand how saving rates and investment impact a country's standard of living and wealth distribution. Dive into the implications of economic factors on poverty levels, particularly in poorer nations like Pakistan.

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