Our formulation of monetary policy has thus far assumed that the central bank can set the nominal interest rate in accordance with the outcome determined by the Taylor rule. However, since 2008 many central banks have hit the zero lower bound on nominal inter- est rates, limiting the stimulus they can provide. Consider a modified Taylor rule which obeys ax{0, πt + p + 0π(πt − π† ) + Oy (Yt − Yt)}. it = max The "max" operator means that interest rates will take whichever value is larger, 0 or the value determined by the Taylor rule. Derive the dynamic aggregate demand curve under a normal Taylor rule and when the zero lower bound is binding. Provide some intuition for the differences between them

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Our formulation of monetary policy has thus far assumed that the central bank can set
the nominal interest rate in accordance with the outcome determined by the Taylor rule.
However, since 2008 many central banks have hit the zero lower bound on nominal inter-
est rates, limiting the stimulus they can provide. Consider a modified Taylor rule which
obeys
= max{0, Tt; + p+07(T; – T) + Oy (Y – Yt)}.
The "max" operator means that interest rates will take whichever value is larger, 0 or
the value determined by the Taylor rule. Derive the dynamic aggregate demand curve
under a normal Taylor rule and when the zero lower bound is binding. Provide some
intuition for the differences between them
Transcribed Image Text:Our formulation of monetary policy has thus far assumed that the central bank can set the nominal interest rate in accordance with the outcome determined by the Taylor rule. However, since 2008 many central banks have hit the zero lower bound on nominal inter- est rates, limiting the stimulus they can provide. Consider a modified Taylor rule which obeys = max{0, Tt; + p+07(T; – T) + Oy (Y – Yt)}. The "max" operator means that interest rates will take whichever value is larger, 0 or the value determined by the Taylor rule. Derive the dynamic aggregate demand curve under a normal Taylor rule and when the zero lower bound is binding. Provide some intuition for the differences between them
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