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Consider the canonical OLG model with log preferences,
for each individual. Suppose that there is population growth at the rate n. Individuals work only when they are young and supply one unit of labor inelastically. Production technology is given by
where A(t + 1) = (1+ g) A(t), with A (0) > 0 and g > 0.
(a) Define a competitive equilibrium and the steady-state equilibrium.
(b) Characterize the steady-state equilibrium, and show that it is globally stable.
(c) What is the effect of an increase in g on the equilibrium?
(d) What is the effect of an increase in β on the equilibrium? Provide an intuition for this result.
Is demand elastic or inelastic in the $4-$6 price range How do you know (b.) If the table represents the demand faced by a monopoly firm, then what is that firm's marginal revenue as it increases output from 100 units to 300 units
Wilma bought a 10-year $1000 bond when the interest rate was 5% per year. So her bond would provide her with $50 at the end of each of ten successive years; and the $1000 is also returned at the end of ten years. She has just collected her seventh..
In the derivation of the Solow growth model, we assumed that government spending and taxes less transfers were both zero. Relax that assumption and assume that both are constant graction of GDP, say T = G = gammaY. What is the steady state level o..
Will revenues increase or decrease in the short and long runs?
A 10 year series of $10,000 annual deposits is followed by 10 more annual deposits of $20,000, which is followed by 20 more years at $30,000 per year. For the total 40 year period, calculate the equivalent present worth deposit as well as the bala..
(y=-1.4282+8.7243(1/x)\) using the given average values for y and x of 4.8% and 1.5%, respectively what is the rate of change at these mean values
own a bond that pays a semiannual coupon of $100 on Jan. 1 and July 1 of each year until 2020, and will pay $10,000 in addition to the coupon payment on Jan. 1, 2020. Tomorrow (Jan 2, 2012) you receive two pieces of information.
How does an expansionary monetary policy work? (Describe the steps through which an increase in money supply affects the real GDP). How does fiscal policy work? (Describe the steps through which an increase in G or TR, or a decrease in TX, affects..
The crockett Land Winery must replace its present grape-pressing equipment. The two alternatives are the quick-skwish and the stomp-master. the annual operating costs increase by 12% each year as teh machines age.
research the current value of the following economic indicatorsanalyze the current macroeconomic situation.discuss
Suppose that the production function is Y= 9K^0.5 N^0.5 With this production function, the marginal product of labor is MPN= 4.5K^0.5 N^-0.5. The capital stock is K= 25. The labor supply curve is NS= 100(1-t)w]^2, where w is the real wage rate, t ..
What is trade and down-ward sloping, linear in terms of production?
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