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Let us return to Example 6.4.
(a) Prove that the law of motion of capital stock given by (6.37) monotonically converges to a unique steady-state value of k∗ starting with any k0 > 0. What happens to the level of consumption along the transition path?
(b) Now suppose that instead of (6.37), you hypothesize that
Verify that the same steps lead to the conclusion that b = c = 0 and a = βa.
(c) Now let us characterize the explicit solution by guessing and verifying the form of the value function. In particular, make the following guess: V (x) = A log x, and using this form together with the first-order conditions, derive the explicit-form solution.
Ithaca is considering a new $50,000 snowplow that will save the city $600 per day of use compared to the existing one. It should last 10 years and have a resale value of $2000. To obtain a 12% rate of return, what is the minimum number of days per..
Economists estimate that on weekends the demand for your product is much higher than on the weekdays (monday-wednesday). On weekends. the inverse demand curve for a typical customer is P= 10 - 0.001Q; on weekdays, it is P=5- 0.01Q.
Barry's utility function is U(W) = W^2. Carl's utility function is U (W )= sqrt(W) . Each has wealth of only $100. An investment of that $100 has a 10% chance of netting $1,000 and a 90% chance of netting a loss of that $100.
Consider the simple linear regression model without an intercept, y = ß1x + u, with the assumption E(u|x)=0. Also assume that E(x)=0 Show that E(y)=0 and using this as well as E(x)=0 show that the covariance between x and y is given by E(xy) and that..
In 1984, Walt Disney brought in Michael Eisner, a Paramount executive as CEO. The firm's board of directors agreed to pay Eisner a salary of $750,000 plus a $750,000 bonus for signing on, plus an annual bonus equal to 2 percent of ..
a) Based on these estimates, what is the maximum share price that Happy Times should be willing to pay for Joe's?
janie Curtis borrowed $22,000 from a bank at an interest rate of 9% compounded monthly. This loan is to be repaid in 36 equal monthly installments over 3 yrs. Immediately after her 20th payment, Janie desires to pay the remainder of the loan
Consider a 6500 piece of machinery, with a 5 year depreciable life and an estimated 1200 salvage value. The projected utilization of the machinery when it was purchased, and its actual production to date as follows.
Suppose that in this economy the fraction of total output in a sector that is paid to labor is the same as the fraction paid to labor in the United States. When output was $300 billion (in constant dollars), what would total compensation have been..
a using lad estimate the parameters in the following modelexpendi m1 m2agei m3ownrenti m4incomei m5incomei2 vib
Using the four components of the GDP, If GDP is $100 billion, consumption is $60 billion,investment is $30 billion, and net exports are -$5 billion,what is government spending in this economy
During the last 5 years, there has been an increase in the amount food that people are growing in their gardens. Use marginal cost- benefit analysis and the concept of opportunity cost, explain what could have changed the choice.
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