Consider the path of output per person over time in the Romer model shown below, where the y-axis is the natural log of output per person (which is equivalent to using a ratio scale on the vertical axis). Output per Person O saving rate 3.5 O growth rate of the population 3 2.5 O population O ideas efficiency parameter O share of labor engaged in production 2 1.5 1 0.5 0 0 2 ‒‒‒‒‒‒‒‒ 4 Time At time t = 3, the change in the trajectory of this economy can be explained by a change in one of the parameters of the Romer model, namely an increase in 6 8 10
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- Assume the rate of technological progress is constant in a SSGM with Cobb- Douglas production function. Show that a steady-state cannot be identifiede if the technological progress is capital augmented, i.e. F(K, L) = [A(t)K(t)]*L(t)'_ª, where A(t) is the efficiency term growinge with a constant rate g.tConsider Romer Model 2. Suppose there are two countries, rich and poorone. Both countries have the same population size, L and the same knowledgegeneration productivity parameter, z. At the beginning, time 0, the rich countryhas more knowledge stock than the poor one, Ar0 > Ap0, where subscript labelstime and superscript labels country being rich or poor. However, the fractionof researchers in poor country is larger than the one in rich country, ̄lp > ̄lr .Question 4 Part aIn which country, would you prefer to live in the short-run? How about in thelong-run?How long would it take for the poor country to reach rich one’s per capitaoutput level? Show your results analytically and graphically as well. (If you pre-fer solving this question numerically by assigning values to the above parametersand variables, feel free to do so0.25 0.10 0.20 0.15 0.25 If your initial distribution of countries from lowest GDP to highest GDP is shown above, and you then estimate a Markov steady state and show that in the future, the distribution will look like this, you have evidence of what? 0.50 0.50 O Economic Convergence O Economic Divergence O Spatial Dependence O Temporal Homogeneity
- What is meant by economies of scale and what is the importance of this concept toeconomic growth?Based on two period model: population growth results in a decrease in the relative amount allocated to the second period and a lower present value of the marginal user cost. True or False?e ncia.wwnorton.com b. Per capita real GDP doubled in South Korea again in only seven years, reaching $1600.00 by 1988.00. What was the average annual economic growth rate between 1981 and 1988.00? (NOTE: Round this to two places past the decimal point.) % 4th attempt 3rd attempt Okay Elizabeth 4 8 Q W E Y U P @ 23 & return A F G H J K % ! V N M .?123 .?123
- where H(0) = a# _ ]s(ß) Consider a simplified version of endogenous growth model discussed in the class. The growth rate is determined by: Region 1: For 0 se s$(1-m), s(B) 9t = H(8), + a' 1- Region 2 and 3: For (1- n) s 0 s 1, 9t = a#s(ß) %3D Note that s(B) Assume the following parameter values: 1+B° aH = 2, a² = 1, B = 1, 7 = 0.25 Q1: Suppose 0 = 0.25. Derive the economic growth rate. Q2: Suppose 0 = 0.5. Derive the economic growth rate. (Q3-Q5 will follow in the next page.)Financial development, social capital, favourable business regulation, tradeopenness are different aspects of ‘social capability’ influencing innovationprocesses and, therefore, economic development. Make a ranking of these factorsaccording to their observed degree of importance for economic developmentFinancial development, social capital, favourable business regulation, tradeopenness are different aspects of ‘social capability’ influencing innovationprocesses and, therefore, economic development. Make a ranking of these factorsaccording to their observed degree of importance for economic development (3points). Explain why ‘inclusiveness’ and ‘equality in opportunities’ canstrengthen the innovation capability of an economy
- The following formula describes the particular case of the endogenous growth pattern of Uzawa-Lucas. Show that the growth rate of y in BGP is determined by sA. Y = A (hL)'-«Kª, Y y = ; À = 0, L = 0, h = sy, K = sY. L' %3DSweden and Norway are two neighboring countries in Northern Europe with similar savings rates, population growth rates, technology growth rates, and depreciation rates. However, Norway differs from Sweden in that Norway has large deposits of oil all along its coast, which makes it very easy for Norway to produce large quantities of crude oil every year with relatively little capital and labor. a) Draw a Solow Growth diagram that compares Sweden and Norway. What is the main difference between the two countries in the diagram? b) According to the Solow Growth Model, which country would have a higher standard of living in the long run? Which country would have a higher growth rate of its standard of living in the long run? c) Suppose now that, in the long run, oil becomes obsolete and has no value because it is uneconomical relative to renewable energy sources like solar and wind power. What would this do to your Solow Growth diagram in part a? How would the standard of living in Norway…A key assumption in an endogenous growth model with both labour and capital inputs in the production function is that Multiple Choice O о о о O the share of capital is larger than the share of labour the share of capital and labour have to be equal better technology is a byproduct of more capital investment there are no external returns to capital long-run growth comes solely from technological progress