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Suppose that to finance its credit policy, the Fed pays an annual interest rate of 0.50 per cent on bank reserves. During the course of the current year, banks hold $1 trillion in reserves. What is the total amount of interest the Fed pays banks during the year?

Short Answer

Expert verified

the total amount of interest the Fed pays banks during the year $5billion.

Step by step solution

01

Introduction

Money velocity is the recurrence at which the typical same unit of cash is utilized to buy recently locally created labour and products in a given time span.

02

Explanation

Given,

Annual interest rate = 0.5%

Applying the formula,

MV = PY

0.5100×1=0.005

Or$5billion

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Most popular questions from this chapter

Suppose that each 0.1percentage point decrease in the equilibrium interest rate induces a \(10billion increase in real planned investment spending by businesses. In addition, the investment multiplier is equal to 5, and the money multiplier is equal to 4. Furthermore, every \)20billion increase in money supply brings about 0.1percentage point reduction in the equilibrium interest rate. Use this information to answer the following questions under the assumption that all other things are equal.

a. How much must real planned investment increase if the Federal Reserve desires to bring about a $100billion increase in equilibrium real GDP ?

b. How much must he money supply change for the Fed to induce the change in real planned investment calculated in part (a) ?

c. What dollar amount of open market operations must the Fed undertake to bring about the money supply change calculated in part (b) ?

Why do you think that many people pay so much attention to likely future movements in the federal funds rate?

Assume that the following conditions exist :

a. All banks are fully loaned up - there are no excess reserves, and desired excess reserves are always zero.

b. The money multiplier is 4.

c. The planned investment schedule is such that at a 4percent rate of interest, investment is \(1400billion. At 5percent, investment is \)1380billion.

d. The investment multiplier is 5.

e. The initial equilibrium level of real GDP is \(19trillion.

f. The equilibrium rate of interest is 4percent.

Now the Fed engages in contractionary monetary policy. It sells \)2billion worth of bonds, which reduces the money supply, which in turn raises the market rate of interest by 1 percentage point. Determine how much the money supply must have decreased, and then trace out numerical consequences of the associated increase in interest rates on all other variables mentioned.

You learned in an earlier chapter that if a recessionary gap occurs in the short run, then in the long run a new equilibrium arises when input prices and expectations adjust downward, causing the short-run aggregate supply curve to shift downward and to the right and pushing equilibrium real GDP per year back to its long-run value. In this chapter, you learned that the Federal Reserve can eliminate a recessionary gap in the short run by undertaking a policy action that increases aggregate demand.

a. Propose one monetary policy action that could eliminate the recessionary gap in the short run.

b. In what way might society gain if the Fed implements the policy you have proposed instead of simply permitting long-run adjustments to take place?

To implement a credit policy intended to expand the liquidity of the banking system, the Fed desires to increase its assets by lending to a substantial number of banks. How might the Fed adjust the interest rate that it pays banks on reserves in order to induce them to hold the reserves required for funding this credit policy action? What will happen to the Fed's liabilities if it implements this policy action?

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