2. Consider the forwardlooking IS curve and New Keynesian Phillips curve: Qt : Et['t+1] $77} 71': 2 BE: [n+1] + 53% + a? where a? = pwul + e? is a costpush shock. Assume that there is no seribl correlation so that ,0Tr = 0. The solution for the model takes the form Q: = away, 71': = bra? and 7': 2 crazy. Suppose that monetary policy responds to expected ination and and expected output gap such that: T: : qEt [n+1] + (#593: [t+1]- (a) Use the method of undetermined coeicients to solve for a\