ECON204 Lecture Notes - Lecture 5: Phillips Curve, Reaction Rate Constant, Nairu

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17 May 2018
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Course
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Topic 5
The Natural Rate of Unemployment and the Phillips Curve
AS Relation:
      
Letting  
 , we get the Phillips Curve Relation:
     
According to this equation:
An increase in the expected inflation, e, leads to an increase in inflation, .
o If wage setting expect a higher price level, they set a higher nominal wage, which
leads to an increase in the price level.
o Gie last period’s prie leel, a higher prie leel this period iplies a higher rate of
increase in the price level from last period to this period i.e. a higher inflation.
o “iilarl, gie last period’s prie leel, a higher epeted prie leel this period
implies a higher rate of increase in the price level from last period to this period
i.e. higher expected inflation.
*Do’t reall uderstad this part lol just retyped from textbook. :/
Given expected inflation e, an increase in the markup, m, or an increase in the factors that
affect wage determination, z, lead to an increase in inflation.
Given expected inflation, e, an increase in the unemployment rate, u, leads to a decrease in
inflation, .
When referring to inflation, expected inflation, or unemployment in a specific year, the equation
above needs to include time indexes. The markup (m) and the wage determination (z) are assumed
ostat ad do’t hae tie idees.
The Phillips Curve
If we set expected inflation = 0, then:
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πα
tt
( m z ) u= + -
This is the negative relation between unemployment and inflation that Phillips found for the United
Kingdom and Australia, and Solow and Samuelson found for the United States (or the original Phillips
curve).
The wage-price spiral: low unemployment higher wage higher price higher wage
The Formation of Expectations
Suppose expectations of inflation are formed according to
1
π θπ
e
tt-
=
The parameter aptures the effet of last ear’s iflatio rate, t-1, o this ear’s epeted
inflation rate, et.
1
π θπ α
t t t
( m z ) u
-
= + + -
When equals zero, we have the original Phillips curve, and the relation between the
inflation rate and the unemployment rate is:
πα
tt
( m z ) u= + -
When is positive, the inflation rate depends on both the unemployment rate and last
ear’s iflatio rate:
1
π θπ α
t t t
( m z ) u
-
= + + -
When =1, the unemployment rate affects not the inflation rate, but the change in the
expected inflation rate.
1
π π α
t t t
( m z ) u
-
- = + -
Mutations and Modified Phillips Curve
The negative relation between unemployment and inflation held throughout the 1960s: the steady
decline in the unemployment rate throughout the 1960s was associated with a steady increase in
the inflation rate in both Australia and the US.
From mid-1970, the relation between the unemployment rate and the inflation rate disappeared in
Australia and the US. This was for two reasons:
1. An increase in the price of oil
a. Increase in non-labour costs forced firms to increase mark-up, m. This increased
inflation.
2. More importantly, a change in the way wage setters formed expectations due to a change in
the behaviour of the rate of inflation.
a. The inflation rate became consistently positive, and
b. Inflation became more persistent. (A high inflation rate this year is more likely to be
followed by a high inflation rate next year.)
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Document Summary

The natural rate of unemployment and the phillips curve. Letting = 1, we get the phillips curve relation: = +(cid:4666)+(cid:4667) : an increase in the expected inflation, e, leads to an increase in inflation, . When referring to inflation, expected inflation, or unemployment in a specific year, the equation above needs to include time indexes. The markup (m) and the wage determination (z) are assumed (cid:272)o(cid:374)sta(cid:374)t a(cid:374)d do(cid:374)"t ha(cid:448)e ti(cid:373)e i(cid:374)de(cid:454)es. If we set expected inflation = 0, then: t ( m z ) u t. This is the negative relation between unemployment and inflation that phillips found for the united. Kingdom and australia, and solow and samuelson found for the united states (or the original phillips curve). The wage-price spiral: low unemployment higher wage higher price higher wage . Suppose expectations of inflation are formed according to e t t-

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