Period Money Growth Nominal Inflation Treasury Bill Income Growth Rate 1975-79 11.8 4.9 17.1 15.1 10.1 11.3 1980-89 9.6 7.3 1. What happened to real income growth and velocity growth in these two time periods? Is this consistent with the quantity theory of money?
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- Calculate what happens to nominal GDP if velocityremains constant at 4 and the money supply increasesfrom $250 billion to $375 billion(M/P)d = 1,000 − 100r,M = 1000P = 2.a) Graph the supply and demand for real money balances.b) What is the equilibrium interest rate?c) Assume that the price level is fixed. What happens to the equilibrium interest rate if the supply ofmoney is raised from 1,000 to 1,200?d) If the Central Bank wishes to raise the interest rate to 7 percent, what money supply should it set?Money demand equation for a country is given by the equation (MP)d=e−λ(πe+r)+αY where πe is expected inflation, r is the real interest rate and Y is income. We assume that expected inflation equals actual inflation and also r and Y are considered as constant. Find the optimal level of inflation (π∗)which maximizes seigniorage revenue (S) ?
- 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…. How would you expect velocity to typically behave overthe course of the business cycle?Give typing answer with explanation and conclusion A standard "money demand" function used by macroeconomists has the form ln(m)=β0+β1ln(GDP)+β2R, Where m is the quantity of (real) money, GDP is the value of (real) gross domesticproduct, and R is the value of the nominal interest rate measured in percent per year. Supposed that β1 = 2.66 and β2 = −0.05. A) What is the expected change in m if GDP increases by 4%? The value of m is expected to_________(increase or decrease ) by approximately ________% (Round your response to the nearest integer) B) What is projected to change in m if the interest rate increases form 2% to 6% ? The value of m is expected to ________(increase/decrease) by approximately ________% (Round your response to the nearest integer)
- Howcantheprocyclicalmovementofinterestrates (risingduringbusinesscycleexpansionsandfalling during business cycle contractions) lead to a pro cyclical movement in the money supply as a result oftheBankofCanadaslendingpolicy?Whymight this movement of the money supply be undesir able?A decrease in the interest rate, other things beingequal, causes a (an)a. upward movement along the demand curvefor money.b. downward movement along the demandcurve for money.c. rightward shift of the demand curve for money.d. leftward shift of the demand curve for 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. 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.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 outputDistinguish between Fisher’s quantity theory and Keynesian’s theory of money.
