Which of the following is true regarding the equilibrium relationship between total factor productivity (z) and the real wage per efficiency unit of labor (w) in the Chapter 8 endogenous growth model? OZ>W Oz
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- Suppose Carl’s wage-schooling locus is given by Years of Schooling Earnings 10 $30,000 11 $35,000 12 $40,000 13 $45,000 14 $50,000 15 $55,000 16 $60,000 17 $65,000 Derive the marginal rate of return schedule. When will Carl quit school if his discount rate is 14 percent? What if the discount rate is 9 percent?Suppose Fred's wage-schooling relationship is given by Years of Schooling Earnings 9 $28,000 10 $31,150 11 $33,700 12 $35,900 13 $37,400 14 $38,500 Derive the marginal rate of return schedule. When will Fred quit school if his discount rate is 5 percent? What if the discount rate is 10 percent?What are the ‘Lessons’ of the Specific Factor Model? Demonstrate this lesson using formal modeling (either graphs or equations).
- According to the Feenstra-Hanson model of offshoring, if Japan is skilled-labour abundant and Mexico is unskilled-labour abundant, once the most unskilled-labour intensive task is offshored from Japan to Mexico, the skilled-unskilled wage ratio will: (a) Decrease in both countries. (b) Increase in Japan but decrease in Mexico. (c) Decrease in Japan but in increase in Mexico. (d) Increase in both countries.In a standard consumer optimization problem in microeconomics, a consumer purchases any pair of goods untilU1U2=p1p2(?), at an interior solution, where Ux is the marginal utility of good x for the consumer and px is the price of good x, where x={1,2}. What is the corresponding optimality condition for a worker-consumer in his labour-leisure optimization problem and why is it just a variation on the standard optimality condition (?)?d. Based on both the consumption-leisure optimality condition obtained in previous part (Based on both of the two first-order conditions, construct the consumption-leisure optimality condition) and on the budget constraint, qualitatively sketch two things in a diagram with the real wage on the vertical axis and labor on the horizontal axis. First, the general shape of the relationship between w and n (perfectly vertical, perfectly horizontal, upward-sloping, downward-sloping, or impossible to tell). Second, how changes. in / affect the relationship (shift it outward, shift it inward, or impossible to deter mine). Briefly describe the economics of how you obtained your conclusions.
- Question 1—Investment in Human Capital(6,000 character limit on all answers combined)Assume that there are two types of individuals in the population: Type A and Type B withthe corresponding fractions f1 and f2. The levels of ability for the two types are: αA andαB, with αA > αB. Suppose also that Type A lives for TA years, while Type B lives for TByears.Briefly answer/evaluate FOUR out of the following six statements:A. If the financial resources available for a Type B individual are greater than those available for a Type A individual, it is possible that the former will invest more in his/herhuman capital.B. Suppose that human capital is not productive, which of the two types will get moreinvestment in schooling?C. Suppose that the government provides all wages and sets all wages to be the same.How would that affect the incentives of the two groups to invest in human capital?1D. If TB > TA then Type B will get more education, otherwise Type A will definitely getmore…In the specific factor model with two goods 1 and 2 and labour as the mobile factor, in the autarky equilibrium it must hold that A P1MPL1=P2MPL2 for marginal labour productivities MPL1 and MPL2 B MPL1=MPL2 for marginal labour productivities MPL1 and MPL2 C the wage w is given by w=MPL1/MPL2 D the wage w is given by w=P1/P2The economic model of Human Capital Investment assumes that individuals choose their path through post-secondary education based solely on which path will provide them with the highest lifetime income. In reality, individuals often choose a path through post-secondary education that does not maximize their lifetime income, as a result of various factors. Consider Alex, an individual whose path through post-secondary education did not maximize their lifetime income. For each of the following potential reasons, construct a brief story that relates that reason to Alex's choice of post-secondary education. a) Utility/disutility from education b) Relationship between job satisfaction and education c) Uncertainty of different income streams d) Difficulty of financing human capital investments E.g. If the reason is "incomplete information", a potential answer would be: "Alex's high school guidance counsellor gave them a list of potential university programs that suited their strengths.…
- Suppose a worker’s skill is captured by his efficiency units of labor. The distribution of efficiency units in the population is such that worker 1 has one efficiency unit, worker 2 has two efficiency units, and so on. There are 100 workers in the population. In deciding whether to migrate to the United States, these workers compare their weekly earnings at home ( w0) with their potential earnings in the United States (w1).The wage-skills relationship in each of the two countries is given byw0 = 700 + 0.5sandw1 = 670 + swhere s is the number of efficiency units the worker possesses.a. Assume there are no migration costs. What is the average number of efficiency units among immigrants? Is the immigrant flow positively or negatively selected?b. Suppose it costs $10 to migrate to the United States. What is the average number of efficiency units among immigrants? Is the immigrant flow positively or negatively selected?Can you derive the fundamental equation governing the evolution of capital in an OLG model with households with inheritance and bequestsSuppose two households earn $40,000 and $56,000 respectively. What is the expected percent difference in wages between the children, grandchildren, and great-grandchildren of the two households if the intergenerational correlation of earnings is 0.2, 0.4, or 0.6?