An argument that is sometimes made for a monetary policy that
targets a path for nominal GDP (NGDP) is that it reduces risk for most
borrowers who take out debt contracts with repayments fixed in nominal terms
(see, for example, Nick Rowe here). However, as far as I am aware, this
argument has not been quantified in a way that allows it to be compared with
the more familiar benefits of inflation targeting. A recent paper by Kevin Sheedy does just that.
Before getting to the punchline, it is worth setting out the
argument more precisely. A good deal of the borrowing that goes on in the
economy is to smooth consumption over the life cycle. We borrow when young and
incomes are low, and pay back that borrowing in middle age when incomes are
high. To do this, we almost certainly have to borrow using a contract that
specifies a fixed nominal repayment. The problem with this is that our future
nominal incomes are uncertain - partly for individual reasons, but also because
we have little idea how the economy as a whole is going to perform in the
future. If the real economy grows strongly, and our real incomes grow with it,
repaying the debt will be much easier than if the economy grows slowly.
As most individuals are risk averse, this is a problem. In an
‘ideal’ world this could be overcome by issuing what economists call state
contingent contracts, which would be a bit like a personal version of equities
issued by firms. If economic growth is weak, I have a contract that allows me
to reduce the payments on my debt. However most people cannot take out debt
contracts of that kind, or insure against the aggregate risk involved in
nominal debt contracts. We have what economists call an incomplete market,
which imposes costs.
Monetary policy can reduce these costs by trying to stabilise
the path of nominal GDP, because it reduces the risks faced by borrowers. Of
course monetary policy cannot remove the uncertainty about real GDP growth, but
if periods of weak growth are accompanied by periods of moderately higher
inflation, then this is not a problem from the borrower’s point of view.
(Koenig discusses this in detail in a paper here.)
How do we quantify this benefit of NGDP targeting, and compare
it to the benefits of inflation targets? Sheedy defines a ‘natural’ debt to GDP
ratio, which is the private debt to GDP ratio that would prevail if financial
markets were complete. Under certain conditions the natural debt to GDP ratio
is likely to be constant, and Sheedy suggests that departures from this
benchmark are unlikely to be great. So a goal for monetary policy could be to
close as far as possible the gap between the actual and natural debt to GDP
ratio, in an analogous way to policy trying to close the output gap. To do this
it would target the path of NGDP.
The current standard way of modelling the welfare costs of
inflation, due to Woodford, is to measure the cost of the distortion in
relative prices caused by prices changing at different times to keep up with
aggregate inflation. This suggests monetary policy should have an inflation
target rather than a NGDP target. (I note here that typically in the literature these
costs are far greater than costs associated with output gaps.) What Sheedy does
is set up a model which has these costs of inflation present, but also has the
costs of nominal debt contracts discussed earlier. With these two different
goals, an optimal monetary policy will go for some combination of inflation
targeting and NGDP targeting. The key question is which kind of costs are more
important. [1]
Sheedy’s answer is that the costs of nominal debt contracts are
more important. The optimal monetary policy gives a 95% weight to the NGDP
target, and just 5% to the inflation target. Now of course this is just one
result from a highly stylised model, and Sheedy shows that it is sensitive to
assumptions about the duration of debt contracts and the degree of risk
aversion. Nevertheless it is very interesting result.
A very simplistic way of describing why this may be very
important is as follows. If the focus of monetary policy is always on the cost
of inflation, NGDP targets will appear to non-economists at least (e.g.
politicians) to be second best. They are a nominal anchor, so we will not get
runaway inflation or deflation by adopting them, but why not just target
inflation directly? Who cares about nominal GDP anyway? This paper suggests a
simple answer - borrowers care. If we see monetary policy has being important
to the proper functioning of financial markets, as we now do, then reducing the
risk faced by borrowers is a legitimate goal for policy. It may make sense for
inflation to be high when real growth is low, and vice versa, because this
reduces the risks faced by borrowers. I think a politician that was not
beholden to creditors could sell that.
[1] For those interested in government debt, there is an
interesting parallel in the literature. Some authors (e.g. Chari, V. V. and
Kehoe, P. J. (1999), “Optimal fiscal and monetary policy", in J. B. Taylor
and M. Woodford (eds.), Handbook of Monetary Economics, vol. 1C, Elsevier, chap.
26, pp.1671-1745.) developed the idea that nominal government debt contracts
could be a useful way of avoiding costly changes in distortionary taxes
following fiscal shocks, because inflation could change real debt. However
Schmitt-Grohe and Uribe (Schmitt-Grohe, S. and Uribe, M. (2004), “Optimal fiscal and monetary policy
under sticky prices", Journal of Economic Theory, 114(2):198-230) showed
that once you added in nominal rigidity to the model so that inflation was
costly, inflation costs dwarfed any gains. This example makes the fact
that we get the opposite result with private debt contracts particularly
interesting, although as Sheedy and others have noted, this may be partly
because this earlier literature assumed short maturity government debt.

