Inflation in the period t in the economy is described by the following function π = −0.3 +0.06ut ² + π f where π - inflation in the period t, ut - unemployment in the period t. Inflation expectations are formed adaptively: π = 0.7πt-1 +0.3m_1, where is the expected inflation in the period t. Let's assume that initially, in the time period t = 0, the inflation rate coincides with the level of inflationary expectations and is equal to π = π = 0.1. The Central Bank is conducting a policy of permanent (once and for all) reduction of the inflation rate to the level of 0.05, starting from the year t = 1. Calculate the unemployment rate in year t = 0 and in year t = 1

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Inflation in the period t in the economy is described by the following function Tt
-0.3 + 0.06u, + T
where T; - inflation in the period t, ut - unemployment in the period t. Inflation expectations are formed
adaptively: T = 0.7Tt-1 + 0.37_1, where T is the expected inflation in the period t. Let's assume that
initially, in the time period t
is equal to TO
reduction of the inflation rate to the level of 0.05, starting from the year t:
unemployment rate in year t = 0 and in year t = 1.
0, the inflation rate coincides with the level of inflationary expectations and
T = 0.1. The Central Bank is conducting a policy of permanent (once and for all)
1. Calculate the
Transcribed Image Text:1 Inflation in the period t in the economy is described by the following function Tt -0.3 + 0.06u, + T where T; - inflation in the period t, ut - unemployment in the period t. Inflation expectations are formed adaptively: T = 0.7Tt-1 + 0.37_1, where T is the expected inflation in the period t. Let's assume that initially, in the time period t is equal to TO reduction of the inflation rate to the level of 0.05, starting from the year t: unemployment rate in year t = 0 and in year t = 1. 0, the inflation rate coincides with the level of inflationary expectations and T = 0.1. The Central Bank is conducting a policy of permanent (once and for all) 1. Calculate the
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