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Consider the following discrete-time optimal growth model with full depreciation:
(a) Formulate this maximization problem as a dynamic programming problem.
(b) Argue without solving this problem that there exists a unique value function V (k) and a unique policy rule c = π(k) determining the level of consumption as a function of the level of capital stock.
(c) Solve explicitly for V (k) and π(k).
Suppose that John's preferences for wages and risk (a bad) are given by the utility function: U = W x e-Rwhere e represents the exponential function, W is the weekly wage, and R represents the type of job.
What is the cost of producing q output in the short-run? d. What is the marginal cost of producing a 301s unit? A 401st unit? If you are comfortable doing so, you may answer this question by writing down the marginal cost function directly, rather..
Notice that the marginal external benefit is constant at $4 per book, so the gap between the marginal private benefit curve and the marginal social benefit curve is $4.
consider the following discrete probability mass function for the variables health insurance and income. health
Draw the indifference curve for U = 20. For what values of p1/p2 will the optimum be \(x_{1} = 0\) If neither x1 and x2 is equal to zero and the optimum is unique, what must be the value of x1/x2?
Suppose that economists have made the following projections for the coming year Exports $540B, imports $710B, capital outflow $320, capital inflow $420. As the year is unfolding, it turns out that these projections are proving to be quite accurate
You are a division manager at Toyota. If your Marketing department estimates that the semiannual demand for the Highlander is Q = 100,000 - 1.25P, what price should you charge in order to maximize revenues from sales of the Highlander
Consider the model of demand deposits described in class. Suppose N=900,y=10,v^k-?=0.9,and X=1.2. Let each person have a two-thirds chance of being a type 1 and a one-third chance of being a type 2.v^k is price of capital
If I am in the state marginal tax rate of 6% and the federal tax rate of 25%, how much before tax rate of return (BTRR) will I have to generate to yield an after-tax of return (ATRR) of 6%
How can the Fed reduce inflation? How would this policy affect the nominal interest rate
A new piece of materials handling equipment costs $20,000 and is expected to save $7,500 the first year of operation. Maintenance and operating cost increases are expected to reduce the net savings by $500 per year for each additional year of oper..
Although self-employed workers have the option to purchase private health insurance, many do not, due to adverse selection. Suppose half the population is healthy and half is unhealthy. The cost of getting sick is $1000 for the healthy and $10,000..
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