Here, the real SDF acts as an input, while the price level is determined as the equilibrium output.
From Cochrane's lecture slide
One of the key strengths of FTPL that Cochrane emphasizes is that it shows how raising interest rates reduces output and brings down inflation—just as commonly expected. Of course, I feel there are still many aspects of the story that I have yet to fully understand.
Still, I believe the following lecture series by a leading scholar synthesizing asset pricing, monetary policy, and fiscal theory will broaden and deepen our understanding of inflation. His papers are conceptually demanding, so these lectures serve as an invaluable guide to truly digesting them.
2026 lecture
2025 lecture
2021 Lecture on FTPL

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