ii) Monetary policy in a liquidity trap. Suppose the money demand is given by: M° = $Y (0.25 - i) as long as the interest rates are positive. The questions below then refer to situations where the interest rate is zero. • If $Y= 80, what is the smallest value of money supply at which the interest rate is zero?

Q1. Suppose that money demand is given by the following function MD=$Y (0.5 - i) and that nominal GDP is given by $200. Moreover, assume that the monetary base is given by H³ = $8. It is also known that people in this economy hold all their wealth either in form of checkable deposits or in form of bonds (i.e. people hold no currency) and that banks must hold 10% of the checkable deposits as reserves. (a) Calculate the money market equilibrium using that the supply and the demand for central bank money is equal. (b) Calculate the overall supply of money. (c) What happens to the money market equilibrium if the central bank decides to increase the monetary base to Hs = $9? (d) What are the effects on the overall money supply in the economy? (Calculate the new overall supply of money and explain your result.)

5. Changes in the money supply The following graph represents the money market in a hypothetical economy. As in the United States, this economy has a central bank called the Fed, but unlike in the United States, the economy is closed (that is, the economy does not interact with other economies in the world). The money market is currently in equilibrium at an interest rate of 6% and a quantity of money equal to $0.4 trillion, as indicated by the grey star. INTEREST RATE (Percent) 8.0 7.5 7.0 6.5 6.0 5.5 5.0 4.5 4.0 0 Money Demand + 0.1 Money Supply 0.2 0.3 0.4 0.5 MONEY (Trillions of dollars) 0.6 0.7 0.8 New MS Curve New Equilibrium ?

Scenario 2 Suppose the money demand is given by MdYx (0.4 - i) = where i is the interest rate. Suppose income Y totals 250. 9. Refer to Scenario 2. If the money supply is M³ = 25, what is the equilibrium interest rate? 10. Refer to Scenario 2. Suppose the Federal Reserve just met and decided they would like to decrease the interest rate by 4 percentage points (compared to the equilibrium rate you found in the previous question). What kind of monetary policy should it use, and what would the money supply have to equal to achieve that goal? (Your answer should be two items: first is expansion or contraction, the second is the actual amount the money supply should be.)

Economy’s entire money supply is $400,000 and required reserve ratio is 15%. As a result of the Fed's sale of $8,000 worth of government securities to First Main Street Bank, the bank becomes reserve deficient. Suppose that Charles, a First Main Street Bank’s customer re-pays back the $8,000 loan he took out a few months ago. Which of the following most accurately describes First Main Street Bank’s actions? a) the bank creates a $8,000 loan b) the bank keeps the $8,000 as reserves c) the bank creates a $52,000 loan d) the bank keeps the $1,200 as reserves The money supply in the economy is $______.

Changes in the money supply The following graph represents the money market for some hypothetical economy. This economy is similar to the United States in the sense that it ha a central bank called the Fed, but a major difference is that this economy is closed (and therefore does not have any interaction with other world economies). The money market is currently in equilibrium at an interest rate of 4% and a quantity of money equal to $0.4 trillion, designated on the graph by the grey star symbol. INTEREST RATE (Percent) 6.0 5.5 5.0 45 4.0 35 3.0 25 20 0 Money Demand 0.1 Money Supply 0.2 03 0.4 0.5 0.6 0.7 MONEY (Trillions of dollars) 08 4 New MS Curve New Equilibrium Ⓒ image 1 Suppose the Fed announces that it is lowering its target interest rate by 75 basis points, or 0.75 percentage points. To do this, the Fed will use open- market operations to the money by the public. Use the green line (triangle symbol) on the previous graph to illustrate the effects of this policy by placing the…

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u10. Using the demand and supply schedule for money shown below, do the following: a)Graph the demand for and the supply of money curves. b)Determine the equilibrium interest rate. c)Suppose the RBA decreases the money supply by $5 billion. Show the effect in your graph and describe the money market adjustment process that is likely to follow. What is the new equilibrium rate of interest? Interest rate (%) Demand for money (billions of dollars) Supply of money (billions of dollars) 4 10 30 3 20 30 2 30 30 1 40 30

We would expect that the level of income that would equate total demand for and total supply of money would be: (a) roughly at the level of the Fed’s interest rate target; (b) lower the lower the interest rates; (c) equal to the level that would equate realized investment with realized savings; (d) higher the lower the interest rate (or lower the higher the interest rate)

Can you solve for d) please and thanks