4. Here is the expression for money market equilibrium that we discussed in class: M = P. L(Y,r + n") In growth rates, this expression is written: %AP = %AM – %AL(Y,r +n°) a) Suppose the elasticity of money demand to a change in output is 1. If the central bank causes the money supply to grow at a 12% rate, and if output grows at a 7% rate, what will the inflation rate be? b) Repeat question a, in this case with the money supply growing at a 9% rate. c) In general, what is the relationship between money growth and inflation?
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- A central bank carries out a contractionary open market operation *Another way of achieving the same thing as in an open market operation is to changethe banks’ refinancing rate. Explain carefully in which direction this rate would have tochange in order to achieve the same effect as the aforementioned contractionary openmarket operation, and how the banks’ reaction to this change brings about this effectQ#2: (i) Find the level of income Y and the rate of interest i that simultaneously bring equilibrium to the economy and estimate the level of consumption C, investment I, the speculative demand for money Mw and the transaction-precautionary demand for money Mt,when (5) (a) the money supply M,= 1000, С 950 + 0.75Y, I 310 - 125i, S = 264 – 175i, and M, M, 0.15Y, and W (b) М, 800,C = 1200+ 0.6Y,I = 227 – 180i, MW = 127 – 180i, and M² || %D S 0.2Y. ||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 the model of money demand we saw in class. Let the elasticity of money demand with respect to real income be 0.8 and the elasticity of money demand with respect to the interest rate on non-monetary assets be -0.2. Imagine that real income increased by 2.75% and nominal interest rate on non-monetary assets increased by 0.2%. If the central bank wants inflation to be at exactly 2%, it should increase money supply by _____ percent. what goes in blank?1. For each of the following questions, draw the Money Demand curve (MD) and Money Supply curve (MS) and label the equilibrium interest rate as i*. Also show how the MS- MD graph changes due to the given events and as a result how the equilibrium interest rate changes. (In your answer you should clearly state and show what happens to the MS and MD curves and also what happens to the interest rate). a) The Fed lowers the RRR b) Taxes decreaseConsider 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)
- 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)Assume that the consumption function is giv Assume that the consumption function is given by C = 200 + 0.5(Y – T) and the investment function is I = 1,000 – 200r, where r is measured in percent, G equals 300, and T equals 200. Assume that the equilibrium in the money market may be described as M/P = 0.5Y – 100r, and M/P equals 800.What is the numerical formula for the IS curve?What is the slope of the IS curve? What is the numerical formula for the LM curve? Calculate the equilibrium r and Y. Calculate the government spending multiplier. en by C = 200 + 0.5(Y – T) and the investmentfunction is I = 1,000 – 200r, where r is measured in percent, G equals 300, and T equals 200. Assume that the equilibrium in the money market may be described as M/P = 0.5Y – 100r, and M/P equals 800.What is the numerical formula for the IS curve?What is the slope of the IS curve? What is the numerical formula for the LM curve? Calculate the equilibrium r and Y. Calculate the government spending…Suppose the Fed decided to sell $100 billion worth of government securities in the open market. Assume all payments are directly deposited into or withdrawn from the banking system. What impact would this action have on the economy? Specifically, answer the following questions. Instructions: Enter your responses as a whole number. If the lending capacity or aggregate demand falls be sure to include a negative sign (-) with your answer. b. By how much will the banking system’s lending capacity change if the reserve requirement is 20 percent? d. By how much will aggregate demand initially change if investors change their behavior because of this change in available credit?
- 1.25 MS, 1.00 Money Demand 0.75 MS2 0.50 0.25 3 4 QUANTITY OF MONEY (Billions of dollars) , therefore the equilibrium price level is According to your graph, the equilibrium value of money is Now, suppose that the Fed increases the money supply from the initial level of $2.5 billion to $4 billion. In order to increase the money supply, the Fed can use open market operations to the public. Use the purple line (diamond symbol) to plot the new money supply ( MS2 ). Immediately after the Fed changes the money supply from its initial equilibrium level, the quantity of money supplied is than the quantity of money demanded at the initial equilibrium. This expansion in the money supply will people's demand for goods and services. In the long run, since the economy's ability to produce goods and services has not changed, the prices of goods and services will and the value of money will VALUE OF MONEYGiven that in an economy, Given that in an economy, C = 102+0.7Y, I=150-100r, MS =300, Mt = 0.4Y, and Mz=125-200r where, Y= income, C= consumption, I= investment, MS= money supply, Mt= transactional-precautionary money demand, Mz= speculative money demand and r= interest rate. Calculate;1. The equilibrium level of income and interest rate in this economy.2. The level of C, I, Mt, and Mz when the economy is in equilibrium.2. Money supply, money demand, and adjustment to monetary equilibrium The following table gives the quantity of money demanded at various price levels (P), the money demand schedule. In the following table, fill in the column labeled Value of Money. Quantity of Money Demanded Price Level (P) Value of Money (1/P) (Billions of dollars) 1.00 1.00 1.33 0.75 2.00 0.50 4.00 0.25 1.5 2.0 3.5 7.0 Now consider the relationship between the quantity of money that people demand and the price level. The lower the price level, the less required to complete transactions, and the less money people will want to hold in the form of currency or demand deposits. Assume that the Federal Reserve initially fixes the quantity of money supplied at $3.5 billion. Use the orange line (square symbol) to plot the initial money supply (MS₁) set by the Fed. Then, referring to the previous table, use the blue connected points (circle symbol) to graph the money demand curve. money