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What does the Taylor rule imply that policymakers should do to the fed funds rate under the following scenarios? a. Unemployment rises due to a recession. b. An oil price shock causes the inflation rate to rise by 1% and output to fall by 1%. c. The economy experiences prolonged increases in productivity growth while actual output growth is unchanged. d. Potential output declines while actual output remains unchanged. e. The Fed revises its (implicit) inflation target downward.

Question

What does the Taylor rule imply that policymakers should do to the fed funds rate under the following scenarios? a. Unemployment rises due to a recession. b. An oil price shock causes the inflation rate to rise by 1% and output to fall by 1%. c. The economy experiences prolonged increases in productivity growth while actual output growth is unchanged. d. Potential output declines while actual output remains unchanged. e. The Fed revises its (implicit) inflation target downward.

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Solution

a. The Taylor rule suggests that policymakers should lower the federal funds rate when unemployment rises due to a recession. This is because the rule recommends lowering interest rates in response to negative output gaps, which occur when actual output is less than potential output, as is the case in a recession.

b. In the case of an oil price shock causing the inflation rate to rise by 1% and output to fall by 1%, the Taylor rule would suggest a mixed response. The rise in inflation would suggest a need to increase the federal funds rate, while the fall in output would suggest a need to decrease it. The actual response would depend on the weights policymakers place on stabilizing inflation versus output.

c. If the economy experiences prolonged increases in productivity growth while actual output growth is unchanged, the Taylor rule would suggest no change in the federal funds rate. This is because the rule responds to gaps between actual and potential output and inflation deviations from target, neither of which have changed in this scenario.

d. If potential output declines while actual output remains unchanged, this would reduce the output gap. According to the Taylor rule, policymakers should respond by increasing the federal funds rate.

e. If the Fed revises its (implicit) inflation target downward, the Taylor rule would suggest that policymakers should increase the federal funds rate. This is because a lower inflation target effectively increases the gap between actual inflation and the target, prompting a tightening of monetary policy.

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