The Taylor rule is 2 + inflation rate + 1/2 output gap + 1/2 inflation gap. If inflation is 3%, the output gap is 1%, and the inflation gap is 1%, the target interest rate is 6%. 4%. 7%. 5%.
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A: Answer:- (a) making small changes in interest rates over time.
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A: Answer - Given in the question- Consider the following expressions: π = πe + ε(un − u)…
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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?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?Consider an economy in which the demand for money is of the formMt =(1/v) PtYfor t = 0, 1, 2, · · · , where output is 150, the money velocity is 1.5. The money supplyis 100 for t = 0, 1. In period 2, the central bank surprises people and announcethat 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. What is the inflation rate in period 1, π1? What is real money balance in period 1, M1 / P1? What is the expected inflation in period 2, given the informationavailable in period 1, E1π2? b. What is the inflation rate in period 2, π2? What is real money balance inperiod 2, M2/P2? What is expected inflation in period 3, given the informationavailable in period 2, E2π3? c. 4. Compare E1π2 and π2.
- It is sometimes suggested that the Fed should try toachieve zero inflation. If we assume that velocity isconstant, does this zero-inflation goal require that therate of money growth equal zero? If yes, explain why.If no, explain what the rate of money growth shouldequalAssume 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.Assume that next year’s wage rate will be 3 percent higher than this year’s because of inflationary expectations. The actual inflation rate is 4 percent. At the beginning of next year, will the real wage be higher, lower, or the same as today? Explain. Assume that Mark gets a fixed-rate loan from a bank when the expected inflation rate is 3 percent. If the actual inflation rate turns out to be 4 percent, who benefits from the unexpected inflation: Mark, the bank, neither, or both? Explain. How does each of the following changes affect the real gross domestic product and price level of an open economy in the short run? Explain. The depreciation of the country’s currency in the foreign exchange market.
- 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.Let's reenact a simplified version of the 1981–1982 Volcker disinflation. Expected inflation and actual inflation are both 10%, real growth is 3%, and to keep it simple assume that velocity growth is zero. Thus, we have AD: Money growth = inflation + real growth. Now let's define a simple SRAS curve: Inflation = expected inflation + 1 × (real growth rate – Solow growth rate). How fast did the money supply grow at this point, before Volcker started fighting inflation? 10% 7% 3% None of the answers is correct.
- Assume an economy’s annual money velocity in circulation is 10. Please answer the following two question: In the view of monetarists (i.e. neoclassical view), if the annual economic growth rate is 6%, what should be the money supply increasing rate to maintain a low inflation rate as 3%? Please show equation.2.1 Money demand in an economy in which no interest is paid on money is Md/P =1000 + 0.4Y- 100i (a) Given that P = 100, Y = 1000, and i = 0.10. Find real money demand, nominal money demand, and velocity.(6)(b)The price level doubles from P =100 to P = 200. Find real money demand, nominal money demand, and velocity.( c) Starting from the variables given in part (a) and assuming that the money demand function as written holds, determine how velocity is affected by an increase in real income, (ii) an increase in the nominal interest rate, (iii) an increase in the price level.Suppose the monetary authority on Ferenginar wants to know about the relationship between money growth and inflation. You decide to use the Quantity Theory of Money in terms of percentage changes, which is given by%∆Mt + %∆Vt = πt + %∆yt (a) Suppose the income elasticity of demand for money is equal to 1, andoutput is independent of monetary policy. If %∆Mt=5%, what is inflation (πt)? (b) Suppose that the income elasticity of demand for money is 1, and output is not independent of monetary policy. If Inflation is 3%, and %∆Mtis 2%, what is output