Last Friday April 1, Eric Leeper Tom Coleman and I organized a conference at the Becker-Friedman Institute, "
Next Steps for the Fiscal Theory of the Price Level." Follow the link for the whole agenda, slides, and papers.
The theoretical controversies are behind us. But how do we
use the fiscal theory, to understand historical episodes, data, policy, and policy regimes? The idea of the conference was to get together and help each other to map out this the agenda. The day started with history, moved on to monetary policy, and then to international issues.
A common theme was various forms of price-related fiscal rules, fiscal analogues to the Taylor rule of monetary policy. In a simple form, suppose primary surpluses rise with the price level, as
\[ b_t = \sum_{j=0}^{\infty} \beta^j \left( s_{0,t+j} + s_1 (P_{t+j} - P^\ast) \right) \]
where \(b_t\) is the real value of debt, \(s_{0,t}\) is a sequence of primary surpluses budgeted to pay off that debt, \(P^\ast\) is a price-level target and \(P_t\) is the price level. \(b_t\) can be real or nominal debt \( b_{t}= B_{t-1}/P_t\), but I write it as real debt to emphasize the point: This equation too can determine price levels \(P_t\). If inflation rises, the government raises taxes or cuts spending to soak up extra money. If inflation declines, the government does the opposite, putting extra money and debt in the economy but in a way that does not trigger higher future surpluses, so it does push up prices.
(Note: this post has embedded figures and mathjax equations. If the last paragraph is garbled or you don't see graphs below, go
here.)
That idea surfaced in many of the papers.