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Consider the continuous-time perpetual youth model of Section 9.8.
(a) Show that given L (0) = 1, the initial size of a cohort born at time τ ≥ 0 is exp ((n - ν) τ ).
(b) Show that the probability that an individual born at time τ is alive at time t ≥ τ is exp(-ν(t - τ)).
(c) Derive (9.39).
(d) Show that (9.39) does not apply at any finite time if the economy starts at t = 0 with an arbitrary age distribution.
Suppose that there is an adverse oil supply shock. Show the impact that this has on the production function, the labor market (i.e. on equilibrium wage and labor), and on the actual amount of output. SHOW a diagram and DISCUSS your findings.
Give a numerical example to show that a monopolist's marginal revenue can be upward sloping over part of its range. Hint: The price on the demand curve is the producer's average revenue. Think of a graphic that shows the possibility of declining a..
He is considering an additional activity expected to increase his adjusted gross income. If this increase is 16000 and there should be no charge in non business deductions or exemptions, what will be the increase in his federal income tax
In so doing, indicate whether a steeply sloped (vertical) and relatively inelastic demand curve, or a flat (horizontal) and relatively elastic demand curve, is typical under normal market conditions. Why?
A spike in the unemployment rate-the biggest in more than 2 decades-raised new concerns Friday that a weak labor outlook, high oil prices and continuing woes in the housing & credit markets are leading the US economy in to a painful recession.
What is your value and ethical position related to the case? Include discussion of theory and principles on which your position is based.
A. Ireland is a very small open economy. Trace the likely economic consequences if the government used an expansionary fiscal policy to stimulate the economy. B. GNP at Current Market Prices for 2007 was 60% higher than the figure for 2000. State a..
Alex is the manager of a division of a paper firm that produces copier paper and sells it on the wholesale market. His firm's output represents about 1.5% of total copier paper sales. The wholesale price of copier paper is $3.95 per standard packa..
What quarterly deposit must be made at the end of each quarter until Corey retires so that he can make a withdrawal of $40,000 semiannually over the first 10 years of his retirement. Assume that his first withdrawal occurs at the end of six months..
Two people take turns removing stones from a pile of n stones. Each person may, on each of her turns, remove either one or two stones. The person who takes the last stone is the winner; she gets $1 from her opponent.
Do you think the "natural restorative powers" of the economy mean that policymakers should be passive in response to the business cycle?
Suppose that a risk-free investment will make three future payments of $100 in one year, $100 in two years, and $100in three years. If the Federal Reserve has set the risk-freeinterest rate at 8 percent, what is the proper current price of this in..
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