4. A common rule used for describing the conduct of monetary policy is the Taylor rule, given by i — â = r + 0.5 (Y=²) + 0.5(π – π), where r is the real rate of interest and is a target rate of inflation. Assume that the real interest rate at full employment to be constant at 2%. Assume also that the same 2% represents target inflation. a. What is the nominal interest rate i when inflation and output are at their equilibrium target level? b. Suppose that the central bank observes a rate of inflation of 4%. With all other variables at the same level. What is the nominal interest rate the central bank would target according to the Taylor rule?

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4. A common rule used for describing the conduct of monetary policy is the Taylor
π = r + 0.5 (²-³) + 0.5(π — ñ), where r is the real rate of
rule, given by i
interest and it is a target rate of inflation. Assume that the real interest rate at full
employment to be constant at 2%. Assume also that the same 2% represents target
inflation.
a. What is the nominal interest rate i when inflation and output are at their
equilibrium target level?
b. Suppose that the central bank observes a rate of inflation of 4%. With all other
variables at the same level. What is the nominal interest rate the central bank
would target according to the Taylor rule?
Transcribed Image Text:4. A common rule used for describing the conduct of monetary policy is the Taylor π = r + 0.5 (²-³) + 0.5(π — ñ), where r is the real rate of rule, given by i interest and it is a target rate of inflation. Assume that the real interest rate at full employment to be constant at 2%. Assume also that the same 2% represents target inflation. a. What is the nominal interest rate i when inflation and output are at their equilibrium target level? b. Suppose that the central bank observes a rate of inflation of 4%. With all other variables at the same level. What is the nominal interest rate the central bank would target according to the Taylor rule?
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