O Workers with specific training know they do not need to work hard when employed. O Workers without specific training are never hired in the first place. O The laid-off worker with specific training is more valuable to the firm that laid her off she is to any other firm. Thus, it is in the worker's best interest to remain unemployec recalled to work at her original firm. O Unemployment benefits are tied to specific training.
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- Follow-up questions. d. Let D be the difference in marginal product between an experienced worker and a new worker (MPe − MPn). Suppose that robust, experienced workers would prefer not to pool with sickly workers at their firm, and so they seek out a new job with an employer who does not offer health insurance. What will be the wage of the robust worker at the new job during the first year there? Keep in mind, these workers will no longer be experienced because they will be adapting to a new firm. Under what conditions will it make financial sense for the robust worker to change jobs? Your answer should be an inequality that includes D, θ, Vr, and Vs. e. D is a measure of job-specific human capital; as workers learn the job, they become more productive so D > 0. However, not every job or industry has the same value for D. In some lines of work D is low, while in others D is high, simply because of the nature of the work. Given the results, you have seen in this problem, in which…hy does a measure of labor productivity—the output produced per worker– rise for many firms during recessions? During the boom years period of 2005through November 2007, the annual average output per worker was lower in U.S.manufacturing than during the Great Recession of 2007–2009 as well during therelatively low-demand years since then through 2013.Firms produce less output during recessions as demand for their products falls.Consequently, firms typically lay off workers during recessions. Thus, whetheroutput per worker rises or falls depends on whether output or employment fallsby more. The labor productivity pattern over the business cycle differs across in-dustries. If we know about a firm’s production process, can we predict whetheroutput produced per worker will rise or fall with each additional layoff?1. Supose that·Total Factor Productivity increases·Capital depreciates by 10%Everything else equal, what happens to labor demand in the economy?A. It decreases (i.e. shifts to the left of the demand curve)B. It increases (i.e. shifts to the right of the demand curve)C. Not enough information to answer 2. Does an increase in the wage causes leisure always to increase, because leisure is a normal good?A. YesB. NoC. Only if the substitution effect dominates the income effectD. Only if the income effect dominates the substitution effect
- 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?Cowles Foundationfor Research in Economicsat Yale UniversityCowles Foundation Discussion Paper No. 2021ARE WE APPROACHING AN ECONOMIC SINGULARITY?INFORMATION TECHNOLOGY AND THE FUTUREOF ECONOMIC GROWTHWilliam D. NordhausSeptember 2015An author index to the working papers in theCowles Foundation Discussion Paper Series is located at:http://cowles.yale.edu/This paper can be downloaded without charge from theSocial Science Research Network Electronic Paper Collection:http://ssrn.com/abstract=2658259Electronic copy available at: http://ssrn.com/abstract=2658259Are We Approaching an Economic Singularity?Information Technology and the Future of Economic GrowthWilliam D. Nordhaus1September 1, 2015AbstractWhat are the prospects for long-run economic growth? The presentstudy looks at a recently launched hypothesis, which I label Singularity.The idea here is that rapid growth in computation and artificialintelligence will cross some boundary or Singularity after whicheconomic growth will…Imagine that the wage-schooling locus is given by w(s)=s^(1/3). What will be the optimal level of education for an individual to take if next period’s earnings in any given time are worth 95% of current earnings for that individual? Answer is s=20/57 I need step by step calculations
- Considering YM = 40, 000 and YF = 28, 000, YM and YF are average earnings for males and females respectively. The following are estimated simple human capital earning functions: ln YM = 9.2 + 0.1SM, SM = 14; ln YF = 9.4 + 0.07SF; SF = 12; SM and SF are average school years for male and female respectively. a What is female and male wage ratio in logarithms? I know the correct is 0.36. Please shows the caculationIn the context of a perfectly competitive model of the labour market, an increase in technologythat raises the marginal product of labour at any given level of employment would be expected, inequilibrium, toa) reduce the amount of labour required to produce a given amount of output and hence increaseunemployment.b) shift the labour demand curve outwards and lead to an increase in employment and wages.c) have no effect upon labour supply or labour demand curves and hence have no impact onemployment or wages.d) reduce the supply of labour to the market and result in an increase in wages but a fall inemployment Why the correct answer is B?Jill is planning the timing of her on-the-job training investments over the life cycle. What happens to Jill’s OJT investments at every age if a. The market-determined rental rate to an efficiency unit falls? b. Jill’s discount rate increases? c. The government passes legislation delaying the retirement age until age 70? d. Technological progress is such that much of the OJT acquired at any given age becomes obsolete within the next 10 years?
- Suppose a firm’s technology requires it to hire 100 workers regardless of the wage level. The firm, however, has found that worker productivity is greatly affected by its wage. The historical relationship between the wage level and the firm’s output is given byWage Rate Units of Output$ 8.00 65$10.00 80$11.25 90$12.00 97$12.50 102What wage level should a profit-maximizing firm choose? What happens to the efficiency wage if there is an increase in the demand for the firm’s output?a) Present the Lagrangian (constrained maximisation) problem for the household under this modified specification and derive the first order conditions in this case. Hint: the household chooses c1, c2, ℓ1 and ℓ2. b) Use the first order conditions for ℓ1 and ℓ2 to derive an expression for the relative amount of leisure time chosen by the household over the two periods, i.e. derive an expression for (1–ℓ1)/(1–ℓ2). Explain how an increase in the relative wage (w2/w1) affects the household’s decision about how much leisure to enjoy in each period. c) Calculate the intertemporal elasticity of substitution between period 1 and period 2 leisure time in this case. Explain how the magnitude of this elasticity influences the household’s decision-making in the model. d) Use the first order conditions for c1 and c2 to derive an expression for the relative amount of consumption chosen by the household over the two time periods, i.e. derive an expression for c2/c1. Provide an economic interpretation…Consider the representative consumer who decides consumption and leisure. Theenvironment is the same as in Lecture 5. Keep the same notation. The preference is givenby U (C,L) = αln C + (1 −α) ln L. Assume h = 1, i.e., the time endowment is one day.(a) Write down the utility maximization problem.(b) Derive the demand for consumption and the supply for labour.(c) Suppose the non-wage income π −T increases while the wage rate w falls at the sametime. The size of the changes can be different. Determine the effects on consumptiondemand and labour supply (i.e., leisure demand). Use the indifference map to explainyour results in terms of income and substitution effects for the following cases:(i) The increase in π −T exactly cancels out the drop in w, i.e., |∆ (π −T)|= |∆w|.(ii) The increase in π −T is greater than the drop in w, i.e., |∆ (π −T)|> |∆w|.(iii) The increase in π −T is smaller than the drop in w, i.e., |∆ (π −T)|< |∆w|.(d) Suppose the utility function is Cobb-Douglas: U…