Principles of Economics (Second Edition)
2nd Edition
ISBN: 9780393614077
Author: coppock, Lee; Mateer, Dirk
Publisher: W. W. Norton & Company
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Chapter 25, Problem 4QFR
To determine
To explain:
Solow's notion about exogenous technological changes and
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The Solow model without exogenous productivity growth predicts that rich countries with more capital will grow faster than poor countries with less capital, assuming other economic conditions are equal. Is this statement true or false? Explain.
Suppose that we modify the Solow growth model by allowing long-run technological progress. That is, suppose that z = 1 for convenience and that there is labor-augmenting technological progress, with a production function
Y =F(K,bN)
where b denotes the number of units of "human capital" per worker, and bN is "efficiency units" of labor. Letting b' denote future human capital per worker, assume that b' = (1 + f ) b, where f is the growth rate in human capital.
(c) In the real world, we usually consider education level as a proxy to human capital. To examine the theory, what suggestions can you make to growth economists? What are factors other than education can you think of that contribute to human capital?
Beyond the Solow model, how do endogenous growth theories provide greater understanding of the process of economic growth?
Chapter 25 Solutions
Principles of Economics (Second Edition)
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Similar questions
- Explain the central paradox at the heart of the Solow model, with constant and exogenous technologies. Given this paradox, why is the Solow model still relevant?arrow_forwardWhat can the Solow model tell us about growth in the short term and in the long term? What is different between the Solow model and the endogenous growth model?arrow_forwardConsider the Solow model. Using suitable diagrams, compare the different dynamics for the levels and growth rates of capital per capita and output per capita following: (a) a new wave of immigration, (b) an increase in the saving rate, (c) a one-shot foreign investment which increase the size of the available stock of capital, (d) an important technological advance.arrow_forward
- Assume that an economy is described by the Solow model in the long run. The rate of population growth in this economy is n technological growth is g rates of total GDP, GDP per worker, and GDP per effective worker? 0.01 and the rate of 0.02. What are the long-run (steady state) growth rates of total GDP, GDP per worker, and GDP per effective worker?arrow_forwardThe Solow Growth Model is an exogenous model of economic growth that analyzes changes in the level of output in an economy over time as a result of changes in the population growth rate, the savings rate, and the rate of technological progress. Consider the Solow model. a) Explain using a graph why there is a poverty trap in this model b)Describe how an economy such as one characterized by this model may break out of a poverty trap.arrow_forwardUsing the Solow model diagram, illustrate what happens to the steady-state capital per worker and output per worker and output per worker when a country faces a positive technology stock.arrow_forward
- Use the Solow model with exogenous growth to answer the following.Q 3.1: Following a reduction in the population growth rate, output per worker growth permanently increases. True or False Q 3.2: Following a reduction in the population growth rate, output per worker growth permanently increases. True or False Q 3.3: The only way to increase the long-run growth rate of output per worker is to increase the growth rate of labor efficiency. True or False Q 3.4: Following a decrease in TFP, output per worker growth temporarily declines. True or Falsearrow_forwardWe presented two versions of the Solow growth model. (1) In the simple version, there is no technological progress. Show in this simple version that at the steady state output per worker (GDP per worker) depends positively on the saving rate, and negatively on the population growth rate. What’s the growth rate of GDP at the steady state? What’s the growth rate of GDP per worker at the steady state? (2) In the version of the model with technological progress, what’s the growth rate of GDP at the steady state? What’s the growth rate of capital per worker at the steady state? What’s the growth rate of GDP per worker at the steady state? Show your stepsarrow_forwardEvaluate the following statement. People do not save enough or invest enough in their education. What would be the arguments for and against government policies that encourage an increase in private savings and more investment in education? Using appropriate equations and graphs, consider the implications of both the Solow growth model and the endogenous growth model, but also their limitations, when addressing these questions.arrow_forward
- The validity and ability of the Solow Growth Model in explaining the long-term growth of a country has been tested empirically.(a) In the Solow Growth Model we are introduced to the concept of the Golden Rule; optimum level of saving and capital formation to support growth. Is this Golden Rule concept proven empirically?(b) From what we have learned from the Solow Growth Model, describe some policies that can improve a country's economic growth rate.arrow_forwardConsider a numerical example using the Solow Growth Model, for 2 countries.Country A: d=0.1, s=0.3, n=0.01, z=1, F(K,L)=K0.3N0.7 Country B: d=0.1, s=0.2, n=0.01, z=1.5, F(K,L)=K0.4N0.6Which Country has a higher level of GDP per capita in steady state? Country A Country B Not enough informationarrow_forwardIdentify two assumptions of the basic Solow Growth Model. b. Why are these assumptions important in supporting the Solow Model? c. You are given the following information about an economy.Y = C + IY = F(K, L) The aggregate production function for this economy exhibits constant returns to scale and the marginal products of labor and capital are both subject to diminishing returns.s = saving rate (assume this is constant) per yearδ= depreciation rate (assume this is a constant) per yeary = Y/Lk = K/Lk* = steady state of capital per worker (K/L) and sf(k) < δk.i. What is sf(k)? ii. What is δk? iii. Interpret the meaning of sf(k) < δk? iv. Graphically illustrate sf(k), δk, and k*. Indicate on your graph where sf(k) < δk. v. Explain what happens in this economy when sf(k) < δk.arrow_forward
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