Given a loss function of the form: V = [ut+₁ − Un]² + d(πt+2 − ¹)² subject to an Inertia-Augmented Phillips Curve stated as: +1 = πt - c(uun) and an IS curve stated as: (Ut+1- Un) = f(rt-rs), derive the interest rate rule followed by the policy-maker.
Given a loss function of the form: V = [ut+₁ − Un]² + d(πt+2 − ¹)² subject to an Inertia-Augmented Phillips Curve stated as: +1 = πt - c(uun) and an IS curve stated as: (Ut+1- Un) = f(rt-rs), derive the interest rate rule followed by the policy-maker.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Given a loss function of the form: V = [u+1 - Un]? + d(T+2 – T")² subject to an
Inertia-Augmented Phillips Curve stated as: T+1 = 1, – c(u̟ – Un) and an IS curve
stated as: ( u+1 – Un) = f (r. – rs), derive the interest rate rule followed by the
policy-maker.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e281245-2f3c-4878-9e53-383ad6a1e20d%2F8ee7cad3-c6c6-4abd-8c7e-b9755866e4b8%2F2s8al6_processed.png&w=3840&q=75)
Transcribed Image Text:Given a loss function of the form: V = [u+1 - Un]? + d(T+2 – T")² subject to an
Inertia-Augmented Phillips Curve stated as: T+1 = 1, – c(u̟ – Un) and an IS curve
stated as: ( u+1 – Un) = f (r. – rs), derive the interest rate rule followed by the
policy-maker.
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