15. Suppose that the relationship between inflation rate (x) and unemployment rate (4) is described by the following equation: H,-a = (m + z) – au, where m = 0.05, z = 0.04, and a = 2. In this economy, the authorities keep unemployment rate at 4% forever. a. If the modified Phillips curve describes the relationship between a and u correctly, how should “x, " be specified? Rewrite the equation using this specification. And assuming that ¤-1= 1%, compute nf, T4+1, and a4+2. b. Derive the natural rate of unemployment.

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15. Suppose that the relationship between inflation rate (x) and unemployment rate (u) is
described by the following equation:
H, - n = (m + z) – au,
where m = 0.05, z = 0.04, and a = 2. In this economy, the authorities keep unemployment
rate at 4% forever.
a. If the modified Phillips curve describes the relationship between a and u correctly,
how should "x,*" be specified? Rewrite the equation using this specification. And
assuming that 7-1= 1%, compute Af, T4+1, and x4+2.
b. Derive the natural rate of unemployment.
Transcribed Image Text:15. Suppose that the relationship between inflation rate (x) and unemployment rate (u) is described by the following equation: H, - n = (m + z) – au, where m = 0.05, z = 0.04, and a = 2. In this economy, the authorities keep unemployment rate at 4% forever. a. If the modified Phillips curve describes the relationship between a and u correctly, how should "x,*" be specified? Rewrite the equation using this specification. And assuming that 7-1= 1%, compute Af, T4+1, and x4+2. b. Derive the natural rate of unemployment.
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