An economy is described by the following equations: C= 2,600+ 0.8(Y-T) - 10,000r IP = 2,000-10,000r G = 1,800 NX = 0 PAE = C+1²+ GANX T = 3,000, Where the definitions of each variables are the same as our lecture notes. The real interest rate, r, expressed as a decimal, is 0.10 (that is, 10 percent). a. Find a numerical equation relating planned aggregate expenditure to output. b. Solve for short-run equilibrium output. c. Show your result graphically using the Keynesian-cross diagram. d. Now, suppose that potential output Y* equals 12,000. What real interest rate should the Fed set to bring the economy to full employment? e. Recalculate question (d) for the case in which potential output Y* equals 9,000.
An economy is described by the following equations: C= 2,600+ 0.8(Y-T) - 10,000r IP = 2,000-10,000r G = 1,800 NX = 0 PAE = C+1²+ GANX T = 3,000, Where the definitions of each variables are the same as our lecture notes. The real interest rate, r, expressed as a decimal, is 0.10 (that is, 10 percent). a. Find a numerical equation relating planned aggregate expenditure to output. b. Solve for short-run equilibrium output. c. Show your result graphically using the Keynesian-cross diagram. d. Now, suppose that potential output Y* equals 12,000. What real interest rate should the Fed set to bring the economy to full employment? e. Recalculate question (d) for the case in which potential output Y* equals 9,000.
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