d) Suppose the money demand function was of the following form: M^d / P = Y η What must the central bank do to achieve an inflation target of 2% over the long-run given a growth rate of income of 5% and an elasticity of money demand with respect to income of 0.8? You can assume that the real rate of interest, r, is fixed at 6%.
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d) Suppose the money
What must the central bank do to achieve an inflation target of 2% over the long-run given a growth rate of income of 5% and an
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- Suppose that an economy has a constant nominal money supply, a constant level of real output Y = 1500, and a constant real interest rate r = 0.05, and it’s expected rate of inflation is 2%, i.e, πe = .02. Suppose that the income elasticity of money demand is ηY = 0.5 and the interest elasticity of demand ηi = –0.2. (a) Suppose that Y decreases to 1425, r remains constant at 0.05 and there is no change in the expected rate of inflation. What is the percentage change in the equilibrium price level? (b) Suppose that r increases to 0.06 and Y remains at 1500. Assuming that expected inflation remains at πe = .02, what is the percentage change in the equilibrium price level? (c) Suppose that r increases to 0.06. Assuming that πe = .02, what would real output have to be for the equilibrium price level to remain at its initial value?Consider an economy with a constant nominal money supply, a constant level of real output Y=100, and a constant real interest rate r =0.10. Suppose that the income elasticity of money demand is 0.5 and the interest elasticity of money demand is -0.1. A. By what percentage does the equilibrium price level differ from its initial value if output increases to Y=106 (and r remains a 0.10)? B. By what percentage does the equilibrium price level differ from its initial value if the real interest rate increases to r=0.11 (and Y remains at 100)? C. Suppose that the real interest rate increases to r=0.11. What would real output have to be for the equilibrium price level to remain at its initial value? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Suppose the money demand function is Md/P = 1000+ 0.2Y - 1000 (r + π²). and Y = 2000, r = .06, π = .04, and Ms is 2600. Suppose the real interest rate rises to 0.11, and expected inflation rises to 0.09, but Y and Ms are unchanged. What would the inflation rate be? Select one: a. 4% b. 10% O c. 6% d. 8%
- Assume that investment, government expenditures, taxes are autonomous.C = 2000 + 0.65* (Y-T)I = 900 – 50iG = 400T = 1500M = 1000P = 2L = 0.50Y-25ia.What is the value of the sensitivity money demand to the level of income?b.What is the value of the nominal supply?c.What expression represents the IS curve?d.What is the equilibrium interest rate, i*?e.What is the equilibrium income, Y*?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…Consider an economy with a constant nominal money supply, a constant level of real outout Y= 400, and a constant real interest rate r 10%. Suppose that the income elasticity of money demand is 1.20 and the interest elasticity of money demand is-0.10. a. By what percentage does the equilibrium price level differ from its initial value if output increases to Y 480.00 (and rremaine at 10%)? %AP= (enter your result as a percentage rounded to two decimal places). b. By what percentage does the equilibrium price level differ from its initial value if the real interest increases to r-12.50% (and Y remaina at 400)? %AP (enter your result as a percentage rounded to two decimal placea). c. Suppose that the real interest rate inoreases to re 12.50%. By what percentage would real output have to increase for the equilibrium price level to remain at its initial value? %AY- T(enter your reault an a percentage rounded to two decimal places)
- A standard "money demand" function used by macroeconomists has the form In(m) = Po + B₁In(GDP) + B₂R, Where m is the quantity of (real) money, GDP is the value of (real) gross domestic product, and R is the value of the nominal interest rate measured in percent per year. Supposed that B₁ = 2.32 and B₂ = -0.02. What is the expected change in m if GDP increases by 9%? The value of m is expected to by approximately %. (Round your response to the nearest integer)A standard "money demand" function used by macroeconomists has the form In(m)=Bo+B₁In(GDP) + B₂R, Where m is the quantity of (real) money, GDP is the value of (real) gross domestic product, and R is the value of the nominal interest rate measured in percent per year. Supposed that B₁ = 1.51 and ₂ = -0.07. What is the expected change in m if GDP increases by 6%? The value of m is expected to (Round your respon by approximately %. ger) increase decreaseAssume that money demand in a given economy is represented with MD = 100Pe 2 -50i where i is the nominal interest rate expressed in decimal form. Moreover, assume that the real interest rate is equal to 0 and money is neutral. What is the seignorage maximizing level of the rate of growth of money? a) 2% b) 5% c) -3% d) None of the above
- The income elasticity of money demand is ny = 0.7 and the interest rate elasticity of money demand is n₁ = -0.06. Suppose that the central bank increases the money supply by 2.6%, real income increases by 2% and inflation is 3%. What is the percentage increase in the nominal interest rate? -0.3 (or -30%) 0.3 (or 30%) -0.1 (or -10%) 0.1 (or 10%)Consider in a country A: money supply M=3000, price level P=3, inflation expectation andliquidity preference is assumed to be zero to make the calculation simple. The money demandfunctionL(i,Y) =Y−200∗(r+πe). Consumption C=300+0.8*(Y-T)-20*r, investment functionis I=700-80*r, government spending and tax are both 500. (1) Solve the real interest rate and the real GDP in equilibrium. (2) If government spending and tax both increases by 150 to keep the government budgetbalance, what is the new equilibrium real interest rate and the new equilibrium real GDP.Consider the Money Demand Function. a) briefly describe the effect of an increase in Expected inflation on money demand.