Money held to take advantage of future financial opportunities is the O Portfolio demand for money. O Transactions demand for money. O Precautionary demand for money. Speculative demand for money.
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- Suppose the money demand function is = 1000 + 0.2Y - 1000 (r + πe). Required (a.) Calculate velocity if Y = 2000, r = 0.06, and πe = 0.04. (b.) If the money supply (Ms) is 2600, what is the price level? (c.) Now suppose the real interest rate rises to 0.11, but Y and Ms are unchanged. What happens to velocity and the price level? (d.) For part (c.), if the nominal interest rate were to rise from 0.10 to 0.15 over the course of a year, with Y remaining at 2000, what would the inflation rate be?1. Assume that a country’s economy is in a short-run equilibrium and the actual unemployment rate is lower thanthe natural rate of unemployment.(a) Using a correctly labeled graph of the long-run aggregate supply curve, short-run aggregate supply curve,and aggregate demand curve, show each of the following.(i) Current price level, labeled PL1, and current output level, labeled (b) What open-market operation can the country’s central bank use to move the economy toward its long-runequilibrium?(c) Use a correctly labeled money-market graph to show how the country’s central bank action to move theeconomy toward its long-run equilibrium affects the equilibrium nominal interest rate in the short run.(d) Based on the interest rate change from part (c), will each of the following increase, decrease, or remain thesame in the short run?(i) Real output. Explain.(e) Assume instead that the central bank does not pursue the monetary policy action from part (b) and there wasno other government…Assume that the demand for real money balance (M / P) is M / P = 0.8Y – 200i, where Y is national income, and i is the nominal interest rate (in percent). The real interest rate r is fixed at 5 percent by the investment and saving functions. The expected inflation rate equals the rate of nominal money growth. If Y is 2,500, P is 1.2, and the growth rate of nominal money is 2 percent, what must i and M be? Show all your work, show formula used and explain why.
- Suppose the economywide demand for money is given by: M = P(0.3Y − 25,000i). The price level P equals 3, and real output Y equals 8,000. a. At what value should the Fed set the nominal money supply if it wants to set the nominal interest rate at 2 percent? The nominal money supply should be set at $ . b. At what value should the Fed set the nominal money supply if it wants to set the nominal interest rate at 3 percent? The nominal money supply should be set at $ .Suppose the economywide demand for money is given by: M = P(0.2Y – 25,000i). The price level Pequals 3, and real output Y equals 8,000. At what value should the Fed set the nominal money supply if it wants to set the nominal interestrate at 2 percent?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?
- 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.a. Explain why the aggregate short-run aggregate supply curve is upward sloping? b. What is the theory of liquidity preference? c. How does it help to explain the downward slope of the aggregate demand cure?d. Suppose that changes in the bank regulations expand the availability of credit cards so that people need to hold less cash.(i) How does that affect the demand for money? (ii) If the Central Bank does not respond to this event, what will happen to the price level?
- 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 in period 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 period2, π2, i2, M2 / P2 and, E2π3. C. Find the inflation rate, nominal interest rate, and real money…24. Which of the following groups benefit from an unanticipated rise in the inflation rate ? O. homeowners with foxed - rate mortgages O. elderly people living on fixed incomes O. creditors or lenders O. workers on contracts without escalator claines 25. Suppose oil prices continue to rise , causing a supply shock . If the Fed increases interest rates , what would be the long run outcome ? O. The economy returns to long run equilibrium at a lower output but higher price level O. The economy returns to long run equilibrium at the original price level and output O. The economy returns to full employment but at a higher price level O. The economy returns to the original price level but at a lower outputE4 Assume the real money demand of an economy is:(Md/P) = 2×Yb(r + πe)-awhere 0 < b < 1 and 0 < a < 1.a) Use the real money demand above to determine the velocity of money.b) Does the quantity theory of money hold in this economy? Explain.c) Show with calculus how the velocity of money reacts to a change in output and a changein the nominal interest rate.d) Find the income and the nominal interest rate elasticities of money demand.