Can you help me express the Price Level targeting formula in a manner that is equal to that of the Inflation Averaging formula, in the document attached below.

1. [50 points] Suppose that the Bank of Canada considered adopting either a price level targeting regime or ination averaging regime. At a monthly frequency the target price levels under these regimes would be: Price level targeting: (1 *y)pt + 7190 + (1 + 701:2, (1) 1 1 2 * Ination averaging: (1 ;)pt + EPts + 17; , (2) Where pt is the natural log of the price level and 77* the longrun ination 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 ination targets by subtracting the log of the price level in the same period of the previous year