(9.3) This exercise considers a labor market described by the following wage-setting (WS) and price-setting (PS) relations: WS: W = P × (1 – Vu) × z PS : P= (1+ m) × W, with z = 1 and m = (a) Calculate the equilibrium real wage P W and the natural rate of unemployment Plot the WS and PS relations in (u, W)-space.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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(9.3) This exercise considers a labor market described by the following wage-setting (WS)
and price-setting (PS) relations:
WS: W = P × (1 – Vu) × z
PS : P= (1+ m) × W,
%3D
with z =
1 and m =
5
W
(a) Calculate the equilibrium real wage
Un. Plot the WS and PS relations in (u, )-space.
and the natural rate of unemployment
P
(b) Suppose the markup m doubles (e. g., due to an oil embargo which causes pro-
ducer prices to rise). Recalculate equilibrium real wage and the natural rate of
unemployment. Add the impact of this change in m to the diagram from (a).
(c) By how much does the variable z have to change (e.g., due to a change in
unemployment benefits) such that in the situation in (b), i. e., with m =
the natural rate of unemployment is equal to the natural rate of unemployment
in (a)? Add the impact of this change in z to the diagram from (b).
2
Transcribed Image Text:(9.3) This exercise considers a labor market described by the following wage-setting (WS) and price-setting (PS) relations: WS: W = P × (1 – Vu) × z PS : P= (1+ m) × W, %3D with z = 1 and m = 5 W (a) Calculate the equilibrium real wage Un. Plot the WS and PS relations in (u, )-space. and the natural rate of unemployment P (b) Suppose the markup m doubles (e. g., due to an oil embargo which causes pro- ducer prices to rise). Recalculate equilibrium real wage and the natural rate of unemployment. Add the impact of this change in m to the diagram from (a). (c) By how much does the variable z have to change (e.g., due to a change in unemployment benefits) such that in the situation in (b), i. e., with m = the natural rate of unemployment is equal to the natural rate of unemployment in (a)? Add the impact of this change in z to the diagram from (b). 2
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