Figure 30-1 Value of Money 2 1 1 MS1 19 ¹0 MS2 B D Money Demand Quantity of Money Refer to Figure 30-1. When the money supply curve shifts from MS1 to MS 2, O a. the economy's ability to produce goods and services increases. O b. the demand for goods and services decreases. O c. None of the above is correct. O d. the equilibrium price level decreases.
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- Suppose that the money demand function is(M/P)d = 1,000 - 100r, where r is the interest rate in percent. Themoney supply M is 1,000 and the price level Pis 2.a. Graph the supply and demand for real moneybalances.b. What is the equilibrium interest rate?c. Assume that the price level is fixed. Whathappens to the equilibrium interest rate if thesupply of money is raised from 1,000 to 1,200?d. If the Fed wishes to raise the interest rate to7 percent, what money supply should it set?Pls help with this Suppose that the Central Bank has currently set the reserve requirements in the economy to be equal to 10%. Assume that there is no cash drain. Suppose also that in this economy there are $400 in initial deposits and $6,000 of cash. 6. Given the above, what is the total Money Supply (MS) in the economy?Now suppose that the economy’s demand for money (MD) is given by the following equation: ??=12,000−1,000∗rWhere r is the interest rate in integers (e.g. at a 2% interest rate, r = 2). 7. What is the equilibrium quantity of money (M) and interest rate (r) in this economy? Now suppose that the Central Bank wants to close an output gap in the economy, and wants to raise the interest rate by 2% to do this. Assume that the Central Bank targets the Money Supply directly. 8) If the Central Bank wants to change the Money Supply by changing the quantity of cash in the market in order to achieve this interest rate increase, how much does it need to change the quantity of cash?…Suppose that this year’s money supply is $500 billion,nominal GDP is $10 trillion, and real GDP is $5 trillion.a. What is the price level? What is the velocity ofmoney?b. Suppose that velocity is constant and theeconomy’s output of goods and services rises by5 percent each year. What will happen to nominalGDP and the price level next year if the Fed keepsthe money supply constant?c. What money supply should the Fed set next yearif it wants to keep the price level stable?d. What money supply should the Fed set next yearif it wants inflation of 10 percent?
- ls help with this Suppose that the Central Bank has currently set the reserve requirements in the economy to be equal to 10%. Assume that there is no cash drain. Suppose also that in this economy there are $400 in initial deposits and $6,000 of cash. 6. Given the above, what is the total Money Supply (MS) in the economy?Now suppose that the economy’s demand for money (MD) is given by the following equation: MD=12,000−1,000rWhere r is the interest rate in integers (e.g. at a 2% interest rate, r = 2). 7. What is the equilibrium quantity of money (M) and interest rate (r) in this economy? Now suppose that the Central Bank wants to close an output gap in the economy, and wants to raise the interest rate by 2% to do this. Assume that the Central Bank targets the Money Supply directly. 8) If the Central Bank wants to change the Money Supply by changing the quantity of cash in the market in order to achieve this interest rate increase, how much does it need to change the quantity of cash? […Suppose that the reserve requirement for checkingdeposits is 10 percent and that banks do not hold anyexcess reserves.a. If the Fed sells $1 million of government bonds,what is the effect on the economy’s reserves andmoney supply?b. Now suppose that the Fed lowers the reserverequirement to 5 percent but that banks chooseto hold another 5 percent of deposits as excessreserves. Why might banks do so? What is theoverall change in the money multiplier and themoney supply as a result of these actions?Now, consider an economy in which the demand for money is of the formY(1 + it)for t = 0, 1, 2, · · · , where output is 150 and it denotes the nominal interest rate inperiod t. The REAL INTEREST RATE, denoted r, is constant and equal to 4%. In period0 and 1, the money supply is 100 and people expect that money supply wouldbe 100 forever. People have rational expectations. In period 2, the central banksurprises people and sets the money supply will grow at 2 percent forever, that is,M0 = 100, M1 = 100, M2 = (1.02)M1, M3 = (1.02)M2, and so on. A. Find the inflation rate, nominal interest rate, real money balance in period 1,and expected inflation in period 2, given the information available in period1, π1, i1,M1 / P1, and, E1π2. B. Find the inflation rate, nominal interest rate, real money balance in period 2,and expected inflation in period 3, given the information available in period 2. (π2, i2, M2 / P2 and E2π3.) C. Find the inflation rate, nominal interest rate, and real money…
- Now, consider an economy in which the demand for money is of the formY / (1 + it) for t = 0, 1, 2, · · · , where output is 150 and it denotes the nominal interest rate inperiod t. The real interest rate, denoted r, is constant and equal to 4%. In period0 and 1, the money supply is 100 and people expect that money supply wouldbe 100 forever. People have rational expectations. In period 2, the central banksurprises people and sets the money supply will grow at 2 percent forever, that is,M0 = 100, M1 = 100, M2 = (1.02)M1, M3 = (1.02)M2, and so on. A . Find the inflation rate, nominal interest rate, real money balance in period 1,and expected inflation in period 2, given the information available in period1, π1, i1, M1 / P1 and, E1π2. B . Find the inflation rate, nominal interest rate, real money balance in period 2, and expected inflation in period 3, given the information available in period 2, π2, i2, M2 / P2 and E2π3. C . Compare E1π2 and π2.Consider the following economy: Labor supply: Nt= 90 Capital stock: Kt = 90 Government spending: Gt = 20 Tax collections: Tt = 20 Production function: Yt = 2(Kt)0.5 (Nt)0.5 Real money demand Lt = 2Yt - 200rt Consumption function: Ct = 16 + 0.8(Yd)t Domestic price level: Pt = 4 Investment function: It = 25 - 50rt Nominal money supply: Mt = 1296 1.Is this a short-run level of output also a long-run equilibrium? Explain. 2.Suppose that the government decreases taxes to T=10. Find the new short-run equilibrium levels of output and interest rate 3.Find the long-run equilibrium levels of output, interest rates and prices. Graph this combination of policies both in the short and in the long run. 4.Explain how the adjustment from the short-run to the long-run occurs.Occasionally, the Federal Open Market Committee (FOMC)sets a policy designed to “track” the interest rate. This meansthat the FOMC is pursuing policies designed to keep the interestrate constant. If, in fact, the Fed were acting to counter anyincreases or decreases in the interest rate to keep it constant,what specific actions would you expect to see the Fed take if thefollowing were to occur? (In answering, indicate the effects ofeach set of events on Y, C, S, I, Ms, Md, and r.)a. An unexpected increase in investor confidence leads to asharp increase in orders for new plants and equipment.b. A major New York bank fails, causing a number of worried peo-ple (not trusting even the FDIC) to withdraw a substantialamount of cash from other banks and put it in their cookie jars
- Consider a situation where the central bank increases the money supply. equal, if nominal GDP increased by $800 billion during a time when veloc did the central bank increase the money supply? O $400 million O $200 million O $200 billion O $400 billion No new data to save. Last checkConsider the following IS-LM model:C=200+0.25YdI=150+0.25Y-1000iG=250T=200Real Money Demand=M/P=2Y-8000iReal Money Supply=1600a. Derive the IS relation.b. Derive the LM relation.c. Solve for equilibrium real output and interest rate and show it in a graph, draw IS and LM curves.d. Solve for values of C, G and I and verify that they add up to Y you obtained in part c.e. Now suppose that the money supply increases to M/P=1840. Solve for Y, i, C and I and describe inwords the effects of an expansionary monetary policy. Show the change in a graph.f. Set M/P to its initial value of 1600. Now suppose that government spending increases to G=400.Summarise the effects of an expansionary fiscal policy on Y, i, C. Use a graph to show the shift in ISand/or LM.Consumption, ? = 0.8?? + 80,Tax, ? = 0.3? + 10Investment, ? = −30r + 800Money supply, ?s = 8000 andMoney demands: ?1 = 0.2?, ?2 = −20? + 4000i. Determine the values of national income, ?, and interest rate, ?, on the assumption thatboth the commodity and the money markets are in equilibrium.ii. Identify the autonomous components and induced components among the aboveequations. Explain the reasons why the components have been identified as autonomousor induced.