Suppose the Central Bank sets 1 year real interest rates by following this Taylor rule: rt = + 0.5(π² - π*) and where r = 4% and л* = 3% where is the expected inflation rate Nominal interest rates are equal to the real interest rate plus the expected inflation it = rt + ne (a) Suppose in period 1 inflation is expected to be 1%. Calculate the 1 year nominal and real interest rates in period t. (b) Calculate the 1 year nominal and real interest rates when inflation is oynocted to be 5% for the period ++1

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter13: Inflation
Section: Chapter Questions
Problem 14SQ
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Suppose the Central Bank sets 1 year real interest rates by following this Taylor rule:
rt = r +0.5(π⁹² − л*)
and where r = 4% and л* = 3%
-
where is the expected inflation rate
Nominal interest rates are equal to the real interest rate plus the expected inflation rate
it = rt + πe
(a) Suppose in period 1 inflation is expected to be 1%.
Calculate the 1 year nominal and real interest rates in period t.
(b) Calculate the 1 year nominal and real interest rates when inflation
is expected to be 5% for the period t+1.
(c)
(d)
(e)
Calculate the 1 year nominal and real interest rates when inflation
is expected to be 5% for the period t+2.
Calculate the nominal 2 year rate and 3 year rates at time t, for the yield curve.
What will the yield curve look like and why?
Transcribed Image Text:Suppose the Central Bank sets 1 year real interest rates by following this Taylor rule: rt = r +0.5(π⁹² − л*) and where r = 4% and л* = 3% - where is the expected inflation rate Nominal interest rates are equal to the real interest rate plus the expected inflation rate it = rt + πe (a) Suppose in period 1 inflation is expected to be 1%. Calculate the 1 year nominal and real interest rates in period t. (b) Calculate the 1 year nominal and real interest rates when inflation is expected to be 5% for the period t+1. (c) (d) (e) Calculate the 1 year nominal and real interest rates when inflation is expected to be 5% for the period t+2. Calculate the nominal 2 year rate and 3 year rates at time t, for the yield curve. What will the yield curve look like and why?
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