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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.
A random variable X is defined to be the difference between the higher value and the lower value when two dice are thrown. If they have the same value, X is defined to be 0.
Compute the profit-maximizing price and output combination.
If a central bank buys government bonds, what happens to interest rates, aggregate demand, and GDP? What happens to these variables if it engages in contractionary monetary policy through open market operations?
Let u be a utility function which generates demand function x(p;w) and indirect utility function v(p;w). Let F : R -> R be a strictly increasing function. If the utility function u* is de ned by u*(x) = F(u(x))
Speculate as to why there has been an increase in reporting requirements in the last ten (10) years. Also, give your opinion on whether the increase in reporting requirements has improved investors' and creditors' confidence in corporations. Provi..
a cell phone company is considering investing in additional cell phone towers. it estimates that if it builds k towers
Combine your analysis in a. & b. to explain the overall impact on US GDP, and inflation. Use your best judgment about the likely path of adjustment from the initial shock to the long run equilibrium. Show graphically and explain in detail.
Find information about labor market statistics of your local community over the last 3 years
Joe quit his job as a salesman where he made $35,000 per year to start his own t-shirt making business. His business expenses are $6,000 per year on rent, $12,000 per year on supplies, and $4,000 per year on part time help.
Why are they used again near the end of the audit?
Suppose that under a new law, all businesses must pay a tax equalto 3% of their sales revenue. Assume that this tax is not passed onto consumers. Instead, consumers pay the same prices after the taxis imposed as they did before.
What are the potential downfalls of project crashing?
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