Macroeconomics
Macroeconomics
10th Edition
ISBN: 9780134896441
Author: ABEL, Andrew B., BERNANKE, Ben, CROUSHORE, Dean Darrell
Publisher: PEARSON
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Chapter 14, Problem 2AP

a)

To determine

To find: The impact on output and interest rate due to increase in money demand.

b)

To determine

To know: The impact on output and interest rate due to temporary increase in government purchases.

c)

To determine

To find: The impact on output and interest rate due to an adverse supply shock.

d)

To determine

To find: The impact on output and interest rate due to decline in consumer confidence.

e)

To determine

To find: The impact on output and interest rate due to increase in export demand.

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Planned aggregate expenditure in the fictitious country "Alpha" depends on real GDP and the real interest rate according to the following equation: PAE= 2,000 + 0.75 Y – 1,000r. The Alpha Bank, the country's central bank, has announced that it will set the real interest rate according to the policy reaction function found the the first two columns of the table below. For the rates of inflation given, find autonomous expenditure and short-run equilibrium output in Alpha. Autonomous Inflation rate, n Real interest rate, r expenditure Equilibrium output e.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 Using the data above, graph the AD curve.
Central bank has the following loss function:L=−(yt −ye)+β(πt −πT )2 (13.1) Consult Chapter 13 to answer the following questions: (a) What can we interpret about the central bank’s preferences from this loss function (Equation 13.1)? (b) Briefly explain how this loss function compares to the standard loss function and a loss function with yT > ye. (c) Find the inflation bias for a central bank with this loss function (Equation 13.1). [Hint: see Section 4.6 in Chapter 4].
Continuing to work with a 2% inflation target, a 1999 version of the Taylor Rule and an initial nominal policy rate of 1.5%, now consider the impact of including a variable risk premium that is typically positive, meaning that the market interest rate is usually above the central bank policy rate. In the following questions, assume the normal (natural) risk premium is 100bp, the economy has a negative output gap (minus 1%), the actual risk premium is 300bp, the economy's natural real market interest rate is 2% and that both actual and expected inflation is 1%. a) what nominal policy rate would you recommend? b) what is the natural nominal policy interest rate? c) how does the new market real interest rate compare with its initial level? t) what nominal policy rate would the Taylor Rule recommend if the negative output gap then widened to minus 2% and both current and expected inflation fell to zero? (other factors, including the risk premium remaining unchanged)
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