Macroeconomics
Macroeconomics
10th Edition
ISBN: 9780134896441
Author: ABEL, Andrew B., BERNANKE, Ben, CROUSHORE, Dean Darrell
Publisher: PEARSON
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Chapter 4, Problem 7NP

a)

To determine

The values of the tax-adjusted user cost of capital, the desired future capital stock, and the desired level of investment.

b)

To determine

The tax-adjusted user cost of capital as a function of the real interest rate r, the desired future capital stock, and desired investment as functions of r, and the goods market clearing values of consumption, saving, investment, and real rate of interest.

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In an economy the interest rate is 5% and the depreciation rate is 20%. The price of capital is 1. A firm has the following production function Y=AKO5N0.5 a. Find the marginal cost of capital b. Compute the investment desired by the firm, knowing that A=2, K=8, N=1. c. If the economy is a close economy, what is the amount of national savings? Instead, what if this was an open economy? Explain. d. If the government imposes a tax on firm revenues of 25%, how does the investment desired change? Compute it and show what happens in the Investment-Savings diagram, assuming this is an open economy and the government completely waste the revenues of this tax.
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Q6: If the Marginal Propensity to save (MPS) is the following function of income: 1 S'(Y) = 0.1– 0. 2 Y2, = 0. 1 and if the aggregate saving S is nil when income Y is 70, find the Saving function S( Y). 1 Q7: Suppose that the net investment flow is described by the equation I(t) = 6t7, and that the initial capital stock, at time t= 0, is K(0). What is the time path of capital К? 1 Q8: If I(t) = 3000t7 (thousands of dollars per year) -a nonconstant flow- what will be the capital formation during the time interval [1, 4], i. e. during the second, third, and fourth years?
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