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3 Homework 3 - Homepage Usask

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(Analytically, suppose that the natural rate of unemployment is u ∗ 1.In<br />

the steady state,<br />

´ 1<br />

1−α<br />

k ∗ 1 =<br />

³<br />

s<br />

d0 y ∗ 1 =<br />

³<br />

s<br />

d0 The first effect would be<br />

y = (1−u ∗ 2) 1−α<br />

∙ ³<br />

s<br />

d0 (1 − u ∗ 2) 1−α ³ s<br />

d0 (1 − u ∗ 1) and<br />

´ α<br />

1−α<br />

(1 − u ∗ ).<br />

but eventually output per capita equals<br />

y ∗ 2 =<br />

´ 1<br />

1−α<br />

(1 − u ∗ ¸α<br />

1) =<br />

´ α<br />

1−α<br />

(1 − u ∗ 1) α<br />

³<br />

s<br />

d0 ´ 1<br />

1−α<br />

(1 − u ∗ 2).<br />

Again you were not required to do this.)<br />

4. The answer is enclosed.<br />

12

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