RDP 9701: Inflation Regimes and Inflation Expectations Equation (12)

f t + 1 , π t + 2 ( x ) = f η ( x ε ) f ε ( ε ) f ε ( π t + 1 x + ε ) d ε f η ( y ε ) f ε ( ε ) f ε ( π t + 1 y + ε ) d ε d y , MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@9250@