Price level targeting: (1-7) Pe+YPO + (1+ yt) 12' 1 2π* Inflation averaging: (1) S Pt+Pt-s+12 where pt is the natural log of the price level and the long-run inflation target. (a) For a given period, t, for what values of y and s are the price level targets from these two rules the same? (b) Rewrite the price level targets above as inflation targets by subtracting the log of the price level in the same period of the previous year. (1) (2)

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Price level targeting: (1- y)Pt + YPo+ (1+ yt)5,
(1)
2n*
+
12
Inflation averaging: (1-
--)Pe +
(2)
where pa is the natural log of the price level and n* the long-run inflation target.
(a) For a given period, t, for what values of y and s are the price level targets from
these two rules the same?
(b) Rewrite the price level targets above as inflation targets by subtracting the log
of the price level in the same period of the previous year.
Transcribed Image Text:Price level targeting: (1- y)Pt + YPo+ (1+ yt)5, (1) 2n* + 12 Inflation averaging: (1- --)Pe + (2) where pa is the natural log of the price level and n* the long-run inflation target. (a) For a given period, t, for what values of y and s are the price level targets from these two rules the same? (b) Rewrite the price level targets above as inflation targets by subtracting the log of the price level in the same period of the previous year.
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