The demand for money is given by Md = $Y (0.3-i), where $Y = 120 and the supply of money is $30. What is the equilibrium interest rate? If the central bank wants to decrease i by 2%, at what level should it set the supply of money?
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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 effectAssume the following money demand function: Md = PY (0.35 - ) The income is € 100. Suppose further that the bid offer is € 20. There is equilibrium in the money market and the financial markets. a. What is the interest rate? b. If the central bank wants to increase the interest rate i by 10 percentage points (for example from 2% to 12%), how should it choose the money supply?why are interest rate not affected by permanent changes in money supply in the long run?.
- Suppose there is some hypothetical economy in which households spend $0.50 of each additional dollar they earn and save the $0.50 they have left over. The following graph plots the economy's initial aggregate demand curve (AD₂). Suppose now that the government increases its purchases by $3.5 billion. Use the green line (triangle symbol) on the following graph to show the aggregate demand curve (AD₂) after the multiplier effect takes place. Hint: Be sure the new aggregate demand curve (AD₂) is parallel to AD₁. You can see the slope of AD₁ by selecting it on the following graph. ? PRICE LEVEL 116 114 CATE 112 110 108 106 104 102 100 100 12 A AD₁ 9 10 102 104 106 108 110 OUTPUT (Billions of dollars) 112 Money Supply N 114 116 The following graph plots equilibrium in the money market at an interest rate of 6% and a quantity of money equal to $60 billion. þ † Show the impact of the increase in government purchases on the interest rate by shifting one or both of the curves on the following…Suppose that the economy has the following money supply and demand equations: Money Supply: M = 8000Money Demand: M= 10,000 – 40,000rwhere money is in billions of dollars and interest rates, r , is written as a decimal(e.g., an interest rate of 10% would be written as .1 in the equation).A. Determine the equilibrium interest rate and quantity of money.B. What will happen in the money market if the interest rate is currently 10%?Suppose that the economy has the following money supply and demand equations: Money Supply: M = 8000Money Demand: M= 10,000 – 40,000rwhere money is in billions of dollars and interest rates, r , is written as a decimal(e.g., an interest rate of 10% would be written as .1 in the equation).A. Determine the equilibrium interest rate and quantity of money.B. What will happen in the money market if the interest rate is currently 10%?What is the amount of excess supply of or excess demand for money?C. Show in graph that at this interest rate (10%) there is disequilibrium in themoney market.2. Assume that a particular bank has excess reserves of Php800,000 and checkabledeposits of Php1,500,000. If the reserve ratio is 20%, what is the size of the bank’sactual reserves?3. Suppose that GRAB Bank is a newly created bank in your hometown. Consider thefollowing transactions: Owners of the bank sold shares of stocks to the public (which includes owners’equity) amounting to P1,000,000. To fully…
- Write a money demand function and explain the determinants of money demand.Suppose that the supply of credit cards is given by (1/200) X = q, the nominal interest rate is 0.06, real GDP is Y = 52, and the price level is P = 105. What must be the quantity of money supplied for this money market to be in equilibrium. Round your answer to the nearest whole number.Homework (Ch 21) Consider a hypothetical economy in which households spend $0.50 of each additional dollar they earn and save the remaining $0.50. The following graph shows the economy's initial aggregate demand curve (AD₁). Suppose the government increases its purchases by $3 billion. Use the green line (triangle symbol) on the following graph to show the aggregate demand curve (AD2) after the multiplier effect takes place. Hint: Be sure the new aggregate demand curve (AD2) is parallel to AD₁. You can see the slope of AD₁ by selecting it on the following graph. PRICE LEVEL 116 114 112 110 108 106 104 102 100 100 AD1 102 112 104 106 108 110 OUTPUT (Billions of dollars) 114 116 AD₂ AD 3
- 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. moneyThe demand for money is given by Md = $Y (0.3 - i), where $Y = 100 and the supply of money is $20. What is the equilibrium interest rate? What is the impact on the interest rate if central bank money is increased to $25?The diagram on the right shows the demand for money curve in a hypothetical economy. Suppose that the economy is initially at point E. Suppose that due to changes in expectations in the financial markets, the quantity of money demanded increases because of speculative reasons. This change would be associated with a movement from E to point EB C Interest Rate % EB Eo EA Quantity of Money MD (Y,P)
