The book isn't out yet, but I can't help myself... A revised draft of Chapter 5, fiscal theory in sticky price models is up on my website here. Giving talks over the last year and writing some subsequent essays, I see clearer ways to present the sticky price models. Bottom line, these three graphs provide a nice capsule summary of what fiscal theory is all about:
Response of inflation, output and price level to a 1% deficit shock, with no change in interest rates. Bondholders lose from a long period of inflation above the nominal interest rate. Inflation goes away eventually on its own.
Response of inflation, output and price level to a permanent interest rate rise, with no change in fiscal policy, and sticky prices. The main line uses long-term debt. The omega=1 line uses roughly one year debt. The omega = infinity line uses instantaneous debt. Higher interest rates can temporarily lower inflation with long term debt. With short-term debt, despite sticky prices, inflation follows the interest rate exactly. Sticky prices do not imply sticky inflation.
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