What’s at stake: Neo-Fisherism is on the blogs again. The idea that low interest rates are deflationary – that we’ve had the sign on monetary policy wrong! – started as a fringe theory on the corners of the blogosphere 3 years ago. Michael Woodford has now confirmed that modern theory, indeed, implies the Neo-Fisherian view when people’s expectations are infinitely rational. For Woodford, this is however a paradox of perfect foresight analysis, rather than something actually relevant for monetary policy.

Are low interest rates deflationary?

Noah Smith writes that over the last three years, a quiet rebellion seems to have sprung up in macroeconomic circles. For some time, it was limited to a few whispers, a couple of papers, and the odd blog post or dinner speech, but it represents a striking break from conventional thinking and is being now addressed by leading New Keynesian authors. The rebellious idea is that low interest rates cause deflation, and high interest rates cause inflation. Noah Smith writes that the Neo-Fisherite idea doesn’t just discount the effectiveness of monetary policy (like RBC models do, or like the MMT people do) – it stands that whole monetary policy universe on its head. If the Neo-Fisherites are right, then not only is the Fed massively confused about what it’s doing, but much of the private sector may be reacting in the wrong way to monetary policy shifts.

Tony Yates writes that this discussion is not of purely academic interest, though it sounds nerdy and pointless.  Recall where it started. Core inflation is sliding in the US and the ECB. Does this mean that central banks should double down and keep rates lower for longer, or is low inflation, by contrast, caused by the low rates?  It’s pretty crucial to settle this. The discussion connects with recent efforts by central banks to stimulate the economy by announcing that rates will be held low, and fixed, at their natural floors, for long periods of time, before eventually rising, a policy they have dubbed ‘Forward Guidance’.

Ryan Avent writes that the basic logic of the argument is as follows. The economy has an equilibrium real, or inflation-adjusted, interest rate. The real interest rate is essentially the nominal interest rate minus the inflation rate. So if the central bank pushes nominal interest rates down to a low level, then over the long run the inflation rate must inevitably move toward a level consistent with the long-run equilibrium real rate. That is, inflation must fall. Otherwise, the economy would be out of equilibrium forever, which is not how economies work.  John Cochrane writes that in response to the interest rate rise, indeed in the short run inflation declines. But if the central bank were to persist, and just leave the target alone, the economy really is stable, and eventually inflation would give up and return to the Fisher relation fold.

150721-fisher interest rates bruegel chart

Source: John Cochrane

Noah Smith writes that the opening shot of the Neo-Fisherite rebellion was fired by Minneapolis Fed President Narayana Kocherlakota, in a speech in 2010. The second outbreak of the rebellion came when Steve Williamson wrote a paper in which QE is deflationary and the blog debates it sparkled. The third outbreak happened this month when Michael Woodford directly tackled the Neo-Fisherite view at the NBER Summer Institute.

Michael Woodford’s response: A Paradox of Perfect-Foresight Analysis

Mariana Garcia Schmidt and Michael Woodford address two questions in their latest analysis:

1.     Is-it true that “modern theory” — deriving aggregate demand and supply relations from intertemporal optimization — implies the neo-Fisherian view?

2.     Can one maintain the orthodox view — that maintaining a lower nominal rate for longer should cause higher inflation and capacity utilization — while having a view of expectations that implies that central-bank commitments regarding future policy should have any effect?

Mariana Garcia Schmidt and Michael Woodford write that “modern theory” — deriving aggregate demand and supply relations from intertemporal optimization — implies the neo-Fisherian view when perfect foresight is assumed. The long-run inflation rate is lower the lower level interest rates are pegged to. Thus one can argue that permanently maintained low nominal interest rates must (at least eventually) bring about correspondingly lower inflation rate.

Mariana Garcia Schmidt and Michael Woodford write that people are at least somewhat forward-looking; this is why commitments regarding future policy matter. The assumption of perfect foresight is nonetheless very strong — especially in the context of a novel policy regime, and the anticipated effects of policies announced for many quarters in future Perfect Foresight Equilibrium (PFE) predictions are relevant only to the extent that the PFE is the limit of an iterative process of belief revision and this process converges fast enough for the limit to well approximate the outcome from a finite degree of reflection. But if the process doesn’t converge, the PFE prediction may be quite different from what this model of expectation formation would imply, even if the process of reflection is carried quite far. When considering the case where interest rate is expected to be fixed indefinitely, the authors show that belief revision dynamics don’t converge.

John Cochrane writes that what he can glean from the slides is that Garcia Schmidt and Woodford agree: Yes, this is what happens in rational expectations or perfect foresight versions of the new-Keynesian model. But if you add learning mechanisms, it goes away. His first reaction is relief — if Woodford says it is a prediction of the standard perfect foresight / rational expectations version, that means I didn’t screw up somewhere. And if one has to resort to learning and non-rational expectations to get rid of a result, the battle is half won.

This article was originally published by Bruegel, the Brussels-based think tank. Read the article on their website here. Publication does not imply endorsement of views by the World Economic Forum.

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Author: Jérémie Cohen-Setton is a PhD candidate in Economics at U.C. Berkeley and a summer associate intern at Goldman Sachs Global Economic Research.

Image: A man walks past buildings at the central business district of Singapore February 14, 2007. REUTERS/ Nicky Loh.