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Suppose that actual inflation is 3 percentage points, the Fed’s inflation target is 2 percentage points, and unemployment is 1 percent below the Fed’s unemployment target. According to the Taylor rule, what value will the Fed want to set for its targeted interest rate?

Short Answer

Expert verified

According to the Taylor rule, the Fed will set its targeted interest rate at 6.5%.

Step by step solution

01

Defining the inflation gap and unemployment gap

The inflation gap is the Current actual inflation rate minus the Inflation target, and the unemployment gap is the Current actual unemployment rate minus the Unemployment rate target.

Given the current actual inflation rate of 3%, with an inflation target of 2%. The inflation gap, from the definition, will be

Inflation gap = 3 – 2 = 1%

Since the actual unemployment is 1% below Fed’s unemployment target, it is equivalent to the unemployment gap in the US economy according to the definition. Thus,

Unemployment gap = -1%

02

Computing target interest rate

To obtain the target interest rate, Taylor’s formula is

Fed’s Target interest rate = real risk-free interest rate + current actual inflation rate + 0.5 (inflation gap) – unemployment gap

But based on historical data Fed’s real risk-free interest rate is 2 %.

Then,

Fed’s Target interest rate = 2 +current actual inflation rate + 0.5 (inflation gap) – unemployment gap.

targetinterestrate=2+3+0.5×1--1=5+0.5+1=6.5

Thus, according to Taylor’s rule, Fed’s target interest rate is 6.5%.

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Most popular questions from this chapter

The Taylor Rule puts _________ as much weight on closing the unemployment gap as it does on closing the inflation gap.

a. just

b. twice

c. half

d. ten times

Which of the following Fed actions will increase bank lending?

Select one or moreanswers from the choices shown.

a. The Fed raises the discount rate from 5 percent to 6 percent.

b. The Fed raises the reserve ratio from 10 percent to 11 percent.

c. The Fed lowers the discount rate from 4 percent to 2 percent.

d. The Fed sells bonds to commercial banks.

Refer to Table 16.2 and assume that the Fed’s reserve ratio is 10 percent and the economy is in a severe recession. Also, suppose that the commercial banks are hoarding all excess reserves (not lending them out) because they fear loan defaults. Finally, suppose that the Fed is highly concerned that the banks will suddenly lend out these excess reserves and possibly contribute to inflation once the economy begins to recover and confidence returns. By how many percentage points does the Fed need to increase the reserve ratio to eliminate one-third of the excess reserves? What is the size of the monetary multiplier before and after the change in the reserve ratio? By how much would banks’ lending potential decline as a result of the increase in the reserve ratio?

(1) Reserve Ratio, %

(2)

Checkable Deposits, \(

(3)

Actual Reserves, \)

(4) Required Reserves, \(

(5) Excess Reserve, \)

(3-4)

(6)

Money-Creating Potential of Single Bank, \(=5

(7)

Money-Creating Potential of Banking System, \)

10

20

25

30

20,000

20,000

20,000

20,000

5,000

5,000

5,000

5,000

2,000

4,000

5,000

6,000

3,000

1,000

0

-1,000

3,000

1,000

0

-1,000

30,000

5,000

0

-3,333

Does the Taylor Rule put a higher weight on resolving the unemployment gap or the inflation gap? Explain.

Use commercial bank and Federal Reserve Bank balance sheets to demonstrate the effect of each of the following transactions on commercial bank reserves:

a. Federal Reserve Banks purchase securities from banks.

b. Commercial banks borrow from Federal Reserve Banks at the discount rate.

c. The Fed reduces the reserve ratio.

d. Commercial banks increase their reserves after the Fed increases the interest rate that it pays on reserves.

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