[P=PE(1+m)(1-au+z)
A specific variant of the AS curve may be used to create the Phillips curve. Take a look at the aggregate-supply relationship.
P = P e (1 + µ)F(u, z).
This relationship may be recast to show a link between inflation, predicted inflation, and the unemployment rate. Assume the functional form explicitly to do so.
F(u, z) = 1 − αu + z for some α > 0. Insert it into the aggregate-supply relation
P = P e (1 + µ)(1 − αu + z).
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