For the economy described below: C = 2,800+ 0.5(YT) - 8,000r IP = 2,000 - 8,000r G = 2,500 NX = 0 T = 3,600 a. Suppose that potential output Y' equals 9.080. What real interest rate should the Fed set to bring the economy to full employment? You may take as a given that the multiplier for this economy is 2. Instructions: Enter all your responses as whole numbers. Real rate of interest I b. Suppose that potential output Y* equals 7,800. What real interest rate should the Fed set to bring the economy to full employment? You may take as given that the multiplier for this economy is 2. Real rate of interest: %
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- Problem 26-11 (algo) For the economy described below: C = 2,500 + 0.9(Y - T) - 8,000r IP = 2,200 - 8,000r G = 2,500 NX = 0 т 3,600 a. Suppose that potential output Y* equals 31,600. What real interest rate should the Fed set to bring the economy to full| employment? You may take as a given that the multiplier for this economy is 10. Instructions: Enter all your responses as whole numbers. Real rate of interest: 5 O % b. Suppose that potential output Y* equals 26,800. What real interest rate should the Fed set to bring the economy to full employment? You may take as given that the multiplier for this economy is 10. Real rate of interest: 8 O % c. Show that the real interest rate determined in part a sets national saving equal to planned investment when the economy is at potential output. This result shows that the real interest rate must be consistent with equilibrium in the market for saving when the economy is at full employment. Planned investment P= 3160 * National saving S= 3160For the economy described below: C = 2,800 +0.75(YT) - 12,000r IP = 1,800 12,000r G = 2,000 NX = 0 T = 3,200 a. Suppose that potential output Y* equals 7,200. What real interest rate should the Fed set to bring the economy to full employment? You may take as a given that the multiplier for this economy is 4. Instructions: Enter all your responses as whole numbers. Real rate of interest: % b. Suppose that potential output Y* equals 5,280. What real interest rate should the Fed set to bring the economy to full employment? You may take as given that the multiplier for this economy is 4. Real rate of interest: % c. Show that the real interest rate determined in part a sets national saving equal to planned investment when the economy is at potential output. This result shows that the real interest rate must be consistent with equilibrium in the market for saving when the economy is at full employment. Planned investment /P = National saving S=Assume that the consumption function is giv Assume that the consumption function is given by C = 200 + 0.5(Y – T) and the investment function is I = 1,000 – 200r, where r is measured in percent, G equals 300, and T equals 200. Assume that the equilibrium in the money market may be described as M/P = 0.5Y – 100r, and M/P equals 800.What is the numerical formula for the IS curve?What is the slope of the IS curve? What is the numerical formula for the LM curve? Calculate the equilibrium r and Y. Calculate the government spending multiplier. en by C = 200 + 0.5(Y – T) and the investmentfunction is I = 1,000 – 200r, where r is measured in percent, G equals 300, and T equals 200. Assume that the equilibrium in the money market may be described as M/P = 0.5Y – 100r, and M/P equals 800.What is the numerical formula for the IS curve?What is the slope of the IS curve? What is the numerical formula for the LM curve? Calculate the equilibrium r and Y. Calculate the government spending…
- Given that in an economy, Given that in an economy, C = 102+0.7Y, I=150-100r, MS =300, Mt = 0.4Y, and Mz=125-200r where, Y= income, C= consumption, I= investment, MS= money supply, Mt= transactional-precautionary money demand, Mz= speculative money demand and r= interest rate. Calculate;1. The equilibrium level of income and interest rate in this economy.2. The level of C, I, Mt, and Mz when the economy is in equilibrium.1. For each of the following questions, draw the Money Demand curve (MD) and Money Supply curve (MS) and label the equilibrium interest rate as i*. Also show how the MS- MD graph changes due to the given events and as a result how the equilibrium interest rate changes. (In your answer you should clearly state and show what happens to the MS and MD curves and also what happens to the interest rate). a) The Fed lowers the RRR b) Taxes decreaseThe following set of equations describe an economy: C = 16,000+ 0.5 (YT) - 50,000r IP = 7,000 - 24,000r G = 8,200 NX = 1,800 T = 8,500 48,620 Y* = a. Find a numerical equation relating planned aggregate expenditure to output and to the real interest rate. PAE= b. At what value should the Fed set the real interest rate to eliminate any output gap? (Hint. Set output Yequal to the value of potential output given above in the equation you found in part a. Then solve for the real interest rate that also sets planned aggregate expenditure equal to potential output.) Instructions: Enter your response as a whole number. Real rate of interest: %
- If planned aggregate spending in an economy can be written as PAE = 15,000 + 0.6Y − 20,000r, andpotential output equals 34,000, what real interest rate must the Federal Reserve set to bring theeconomy to full employment?Suppose the economy is in long-run equilibrium with GDP approaching $23T and the unemployment rate is approaching 4%. Now, let's say that the Fed has decided to decrease the money supply by 6%! The Fed proposes this move by raising the Prime Rate from the current 3.25 to 4.00 and to sell a new trunk or class of 30-year Treasury Bonds. This was not expected! What might be the short and long run effects on the economy as a whole if this were to take place? What happens to the inflation rate? What happens with unemployment? Like I said, this was actually expected that the Fed might take some sort of constriction action to stave off reduce inflation and to strengthen the money supply. However, President Biden, Congress and the Treasury Department had hoped for no contraction of the money supply until 2023.“If f increases, then the Fed can keep output constantby reducing the real interest rate by the same amount asthe increase in financial frictions.” Is this statement true,false, or uncertain? Explain your answer.
- • Given following information: Y = 4000 - 200i The IS equation Ms/P = 2000 Vertical LM • Calculate equilibrium interest rate and GDP? Suppose Fed uses easy monetary policy and increase the money supply to $3000. Calculate new equilibrium interest rate and GDP? Is this policy effective? 2- Suppose following information: Y = 2000 Vertical IS Y = 1000 + 100i The LM equation !! Calculate equilibrium interest rate and GDP? Suppose Fed uses easy monetary policy and increase the money supply to Y = 1500 +100i. Calculate new equilibrium interest rate and GDP? Is this policy effective? !!Exercise 1 cr+1 Consider the money supply Ms=mxB , m = cr+rr Assume that the demand for real money is given by the equation (M/P)d=0.25Y, and that the output has been growing 3% per year. Assume, further, that you have been called before Congress to testify about the long-run effects of increasing the growth of the money supply to 10 % per year. 1. State, compute and explain the long-run effects of this change on the inflation rate, on the nominal interest rate, on the real interest rate, on investment and on the real GDP. For each of them, argue both using the formulae that we studied and the macroeconomic dynamic beyond the effect. 2. Compute the implied money velocity. Suppose that the actual nominal value of the output (PY) is 1000, the value of the reserves is 50 and the toal value of the deposits is 75. Find the actual money multiplier. 3. State the different ways in which the central bank can achieve the change (+10%) in the money supply (think about the variables that can…Q#2: (i) Find the level of income Y and the rate of interest i that simultaneously bring equilibrium to the economy and estimate the level of consumption C, investment I, the speculative demand for money Mw and the transaction-precautionary demand for money Mt,when (5) (a) the money supply M,= 1000, С 950 + 0.75Y, I 310 - 125i, S = 264 – 175i, and M, M, 0.15Y, and W (b) М, 800,C = 1200+ 0.6Y,I = 227 – 180i, MW = 127 – 180i, and M² || %D S 0.2Y. ||