The following equation relates the natural log of wages, W, to risk, R, and a vector of covariates, X: lnW = bo +b1*R + C*X. lnW is the natural log of W. Assume that W = 30,000, b1 = 0.15 and the change in risk being considered is a 1 in 3,000 increase in the probability of death. Note also that dW/W = 0.15. A. What would an individual worker need to be paid to be willing to incur this 1 in 3,000 increased risk of death? B. What is the statistical value of a life, based upon this wage equation?
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4. The following equation relates the natural log of wages, W, to risk, R, and a vector of covariates, X:
lnW = bo +b1*R + C*X.
lnW is the natural log of W. Assume that W = 30,000, b1 = 0.15 and the change in risk being considered is a 1 in 3,000 increase in the probability of death. Note also that dW/W = 0.15.
A. What would an individual worker need to be paid to be willing to incur this 1 in 3,000 increased risk of death?
B. What is the statistical value of a life, based upon this wage equation?
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- Sophie is offered a performance based wage that will either be equal to $4,200 or to $3,600, each with a probability of 50%. Sophie says that getting $3,900 for certain would be as good as being offered that random wage. Which, of the following sentences, is true? options: Sophie is risk averse and her risk premium is zero. Sophie is risk neutral and her risk premium is zero. Sophie is risk averse and her risk premium is $300. Sophie is risk neutral and her risk premium is $300.a. On a graph with the probability of injury on the x-axis and the wage level on the y-axis plot two indifference curves, labeled UA and UB, so that the person associated with UA is less willing to take on risk relative to the person associated with UB. Explain what it is about the indifference curves that reveals person A is less willing to take on risk relative to person B. b. Consider a third person who doesn’t care about the risk associated with the job. That is, he doesn’t seek to limit risk or to expose himself to risk. On a new graph, draw several of this person’s indifference curves. Include an arrow on the graph showing which direction is associated with higher levels of utility. c. Consider a wage-risk equilibrium that is characterized by an upward-sloping hedonic wage function. Now suppose there is a government campaign that successfully alters people’s perception of risk. In particular, each worker adjusts her preferences so that she now needs to be more highly compensated…Suppose that the average lifetime earnings for someone in the waste management industry is $1 million. The average lifetime earnings for someone in the construction industry is $1.5 million. Now, suppose the construction industry is riskier, with workers having a greater chance of dying on the job. The overall difference in probability of death between the two industries is 10 percentage points (i.e. 0.10). Using this information, calculate the implied average valuation of life.
- Give typing answer with explanation and conclusion 1. If wH=100 and wL=36 and U(w)=w^1/2. Further, let the reservation utility be 7. (a) What is the minimum probability for which the wage earner accepts the contract? (b)Let p=3/4. What is the maximum cost of effort for which the tenant accepts the contract?Refer to the graph below. It shows 2 indifference curves: for person A and for person B. Which person, A or 4) B, is relatively more likely to take on the risk when the probability of injury at work is 70%? Explain why. Make sure to include the analysis of the difference in the shape of the 2 curves. Be as detailed as possible. Wage UA UB Probability of Injury Figure 1. Indifference Curves of Person A and Person BSuppose that the expected value of weekly profits for an ice cream shop, before paying the manager, Amy, is where e is Amy's weekly avertime hours. Amy is risk-neutral but incurs a cost for working overtime. Thus, tatal expected surplus is What level of effort maximizes total surplus? The value of overtime that maximizes total surplus is e-hours. (Enter your response rounded to one decimal place.) E(x)=500+10c C(e)=² E(S)-[(x)-C(e).
- 3. A risk-neutral principal hires an agent to work on a project at wage w. The agent's utility function is: v(w)-g(e), where v(w)= Jw and g(e)=e/2 The agent can choose one of two possible effort levels, e¡ = 4 or e, = 6 . If the agent chooses effort level e, = 4 the project yields 100 with probability 1/4 and 0 with probability 3/4. If he chooses e, = 6 the project yields 100 with probability ½ and 0 with probability ½. The reservation utility of the agent is 0. (a) Suppose the effort level chosen by the agent is observable by the principal. Find the contract chosen by the principal. Show graphically in terms of contingent utilities v(w,00) and v(w.)Consider Figure 9.1. Assume SFK and Timken merge to become the MVD Company with new cost reductions, indicated by MC1=AC1, which result from changes in work by MVD Company employees that lead to higher worker productivity. Compare to the original competitive equilibrium, the effect of MVD Company's formation on welfare now isA.) a gain of $5.50B.) a gain of $2.50C.) a loss of $5.50D.) no change .Question 13 Consider a market in which there are two types of workers L and H. Each type of worker has a different level of productivity, but that productivity is unobservable ex ante to potential employers. Before seeking employment at a firm in the market, all workers can (if they choose) get some level of education e. This choice of education e is observable to all, including potential employers. Assume that the market is competitive, so expected profits must be zero in equilibrium. The L-type workers have a productivity of 2 if they work for a firm in the market. They also have an outside option of 2. The utility function of the L-type workers UL - wL- eL, where wl is the wage received and eL is the level of education they obtain. The H type worker has an outside option of 2 and a productivity of 4 if they are employed by a firm in the market. The utility function for a H-type worker is UH=wH - (%)eH, where wH is the wage paid to a H-type and eH is the education they choose to get.…
- Suppose a college athlete is deciding on when to turn pro (right out of high school, or after 1/2/3/4 years of college). If they go to college, their potential earnings increase by rate r (which is different for every year spent in college). But they have to postpone their earnings by 1 more year and pay discount rate i. What is the general decision rule for staying in school for one more year vs turning pro?Question 10 Assume that Happymoney has a utility of income given by U(I)= x2 In addition assume that Happymoney's Is=25,000 and In=81,000 If the probability of sickness p-0.2. Find the premium "r" for the actuarially fair contract. A Moving to the next question prevents changes to this answer. Esc DII F1 F2 F3 F4 F5 2$ 3 4. W T2. Suppose, as in class, that the utility function of a worker is U (w, e) = Vw - e, where w is the wage and e € {0, .8} is the level of effort. Suppose the reservation utility is 1. Suppose the outcome is $10 or $0 and that the probability of the $10 outcome is .6 if the worker works hard and .2 if the worker chooses low effort. (a) If you could costlessly monitor the worker's effort, would you want the worker to work hard? What payments would you offer and for what effort?