# Does Y determine MV or is it MV that determines P?

Scott Sumner a couple of days ago wrote a post on the what he believes is a Great Stagnation story for the US. I don’t agree with Scott about his pessimism about long-term US growth and I don’t think he does a particularly good job arguing his case.

I hope to be able to write something on that in the coming days, but this Sunday I will instead focus on another matter Scott (indirectly) brought up in his Great Stagnation post – the question of causality between nominal and real shocks.

This is Scott:

“I’ve been arguing that 1.2% RGDP and 3.0% NGDP growth is the new normal.  The RGDP growth is of course an arbitrary figure, reflecting the whims of statisticians at the BEA.  But the NGDP slowdown is real (pardon the pun.)”

The point Scott really is making here (other than the productivity story) is that it is real GDP that determines nominal GDP (“NGDP slowdown is real”). That doesn’t sound very (market) monetarist does it?

Is this because because Scott – the founding father of market monetarism – suddenly has become a Keynesian that basically just thinks of nominal GDP as a “residual”?

No, Scott has certainly not become a Keynesian, but rather Scott fully well knows that the causality between nominal and real shocks – whether RGDP determines NGDP or it is the other way around – is critically dependent on the monetary policy regime – a fact that most economists tend to forget or even fail to understand.

Let me explain – I have earlier argued that we should think of the monetary policy rule as the “missing equation” in the our model of the world. The equation which “closes” the model.

It is all very easy to understand by looking at the equation of exchange:

M*V=P*Y

The equation of exchange says that the money supply/base (M) times the velocity of money (V) equals the price level (P) times real GDP (Y).

The central bank controls M and sets M to hit a given nominal target. Market Monetarists of course have argued that central banks should set M so to hit an nominal GDP target. This essentially means that the central bank should set M so to hit a given target for P*Y.

We know that in the long run real GDP is determined by supply side factors rather than by monetary factors. So if we have a NGDP target then the central bank basically pegs M*V, which means that if the growth rate in Y drops (the Great Stagnation story) then the growth rate of P (inflation) will increase.

So we see that under an NGDP targeting regime the causality runs from M*V (and Y) to P. Inflation is so to speak the residual in the economy.

But this is not what Scott indicates in the quote above.

This is because he assumes that the Fed is targeting around 2% (in fact 1.8%) inflation. Therefore, IF the Fed in fact targets inflation – rather than NGDP – then in the equation of exchange the Fed “pegs” P (or rather the growth rate of P).

Therefore, under inflation targeting the Fed will have to reduce the growth rate of M (for a given V) by exactly as much has the slowdown in (long-term) growth rate of Y to keep inflation (growth P) on track.

This means that under inflation targeting shocks to Y (supply shocks) determines both M and P*Y, which of course also means that “NGDP slowdown is real” (as Scott argues) if we combine a slowdown in long-term Y growth and an inflation targeting regime.

Scott won – so he is wrong about causality

Scott since 2009 forcefully has argued that the Federal Reserve should target nominal GDP rather than inflation. I on the other hand believe that Scott has been even more succesfull than he believes and that the Federal Reserve already de facto has switched to an NGDP targeting regime (targeting 4% NGDP growth). Furthermore, I believe that the financial markets more or less realise this, which means that money demand (and therefore money-velocity) tend to move to reflect this regime.

This also means that if Scott won the argument over NGDP targeting (in the US) then he is wrong assuming that that real shocks will become nominal (that Y determines M*V).

The problem of course is that we are not entirely sure what the Fed really is targeting – and neither is most officials. As a consequence we should not think that the monetary-real causality in anyway is stable. This by the way is exactly why we can both have long and variable leads and lags in monetary policy.

For further discussion of these topics see these earlier posts of mine:

The monetary transmission mechanism – causality and monetary policy rule

Expectations and the transmission mechanism – why didn’t anybody think of that before?

How (un)stable is velocity?

The missing equation

The inverse relationship between central banks’ credibility and the credibility of monetarism

1. #### emuhd

/  June 7, 2015

good post, but i am more interested in hearing your take on scott’s subsequent post pointing out the mystery of Australian resilience to the marked decline in the nominal growth trend permitted by the RBA. It seems hard to argue that Australian wages have less downward rigidity (or at least I haven’t the basis for such an argument), and the declining nominal comp growth shows up across every industry without much variation. yet employment and growth seem to have weakened much more modestly than might be expected ex ante given the downward departure from nominal trends. surprised?

2. #### sumnerbentley

/  June 7, 2015

Two points:

1. The 30 year bond yield is 3.11%

2. The Hypermind market forecasts 3.4% NGDP growth, in a year when the unemployment rate is falling. What will the NGDP growth rate be during stable unemployment years?

3. #### emuhd

/  June 7, 2015

Scott,

(1) That doesn’t seem convincing. There is no requirement the the 30 YR = NGDP growth. The 30 year (safe) Treasury real interest rate can be lower than the expected real growth rate as the price of safety.

(2) If Lars is right about the implicit Fed 4% nominal target (I kinda doubt he is) then the falling unemployment rate’s contribution to current NGDP shouldn’t matter wrt to future NGDP expectations.

4. #### Christopher Mahoney

/  June 7, 2015

The Fed is targeting 1% real growth. https://www.frbatlanta.org/cqer/research/gdpnow.aspx

5. #### jamesxinxlondon

/  June 7, 2015

Arguably, with the current bias toward tightening, the market thinks the Fed thinks 1% RGDP growth is dangerously fast.

6. #### cmamonetary.org

/  June 8, 2015

“We know that in the long run real GDP is determined by supply side factors rather than by monetary factors”

Money affects the supply side though.