3. (This is question 2, page 437 of the textbook) An economy is described by the following equations: Desired consumption Cd = 130+0.5(Y-T)-500r. Desired investment Id = 100-500r. Government purchases G = 100. Taxes T = 100. Real money demand L = 0.5Y-1000r. Money supply M = 1320. Full-employment output YFE = 500. Assume that expected inflation is zero so that money demand depends directly on the real interest rate. a. Write the equations for the IS and LM curves. (These equations express the relationship between r and Y when the goods and asset markets, respectively, are in equilibrium.) b. Calculate the full-employment values of output, the real interest rate, the price level, consumption, and investment. c. Suppose that, because of investor optimism about the future marginal product of capital, the investment function becomes Id= = 200-500r. Assuming that the economy was initially at full employment, what are the new values of output, the real interest rate, the price level, consumption, and investment in the short run? In the long run? Show your results graphically.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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3. (This is question 2, page 437 of the textbook) An economy is described by the
following equations:
Desired consumption Cd = 130+0.5(Y-T)-500r.
Desired investment Id = 100-500r.
Government purchases G = 100.
Taxes T = 100.
Real money demand L = 0.5Y-1000r.
Money supply M = 1320.
Full-employment output YFE = 500.
Assume that expected inflation is zero so that money demand depends directly on
the real interest rate.
a. Write the equations for the IS and LM curves. (These equations express the
relationship between r and Y when the goods and asset markets, respectively, are
in equilibrium.)
b. Calculate the full-employment values of output, the real interest rate, the price
level, consumption, and investment.
c. Suppose that, because of investor optimism about the future marginal product of
capital, the investment function becomes
Id = 200-500r.
Assuming that the economy was initially at full employment, what are the new
values of output, the real interest rate, the price level, consumption, and
investment in the short run? In the long run? Show your results graphically.
Transcribed Image Text:3. (This is question 2, page 437 of the textbook) An economy is described by the following equations: Desired consumption Cd = 130+0.5(Y-T)-500r. Desired investment Id = 100-500r. Government purchases G = 100. Taxes T = 100. Real money demand L = 0.5Y-1000r. Money supply M = 1320. Full-employment output YFE = 500. Assume that expected inflation is zero so that money demand depends directly on the real interest rate. a. Write the equations for the IS and LM curves. (These equations express the relationship between r and Y when the goods and asset markets, respectively, are in equilibrium.) b. Calculate the full-employment values of output, the real interest rate, the price level, consumption, and investment. c. Suppose that, because of investor optimism about the future marginal product of capital, the investment function becomes Id = 200-500r. Assuming that the economy was initially at full employment, what are the new values of output, the real interest rate, the price level, consumption, and investment in the short run? In the long run? Show your results graphically.
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