Economics is about solving lots of little puzzles. At a July 4th party, a super smart friend -- not a macroeconomist -- posed a puzzle I should have understood long ago, prompting me to understand my own models a little better.
How do we get inflation from the big fiscal stimulus of 2020-2021, he asked? Well, I answer, people get a lot of government debt and money, which they don't think will be paid back via higher future taxes or lower future spending. They know inflation or default will happen sooner or later, so they try to get rid of the debt now while they can rather than save it. But all we can do collectively is to try to buy things, sending up the price level, until the debt is devalued to what we expect the government can and will pay.
OK, asked my friend, but that should send interest rates up, bond prices down, no? And interest rates stayed low throughout, until the Fed started raising them. I mumbled some excuse about interest rates never being very good at forecasting inflation, or something about risk premiums, but that's clearly unsatisfactory.
Of course, the answer is that interest rates do not need to move. The Fed controls the nominal interest rate. If the Fed keeps the short term nominal interest rate constant, then nominal yields of all bonds stay the same, while fiscal inflation washes away the value of debt. I should have remembered my own central graph:
This is the response of the standard sticky price model to a fiscal shock -- a 1% deficit that is not repaid by future surpluses -- while the Fed keeps interest rates constant. The solid line is instantaneous inflation, while the dashed line gives inflation measured as percent change from a year ago, which is the common way to measure it in the data.
There you have it: The fiscal shock causes inflation, but since the nominal interest rate is fixed by the Fed, it goes nowhere, and long term bonds (in this linear model with the expectations hypothesis) go nowhere too.
OK for the result, but how does it work? What about the intuition, that seeing inflation coming we should see higher interest rates? Let's dig deeper.