Tuesday, July 23, 2013

Fiscal and monetary stimulus

 
In the figure above, I plotted the vectors for a local perturbation from a point in MB-NGDP space for an increase in MB (red, "+ Monetary") and an increase in NGDP (blue, "+ Fiscal"). Since a change in the MB changes the price level, NGDP is changed as well in most cases, whereas an increase in NGDP, by say increasing government spending doesn't change the base. Well, at least to first order. The green line is the actual path the US has followed (with years labeled). The location where $\kappa = 1/2$ and hence the inflation rate is equal to the growth rate of the monetary base (i.e. the quantity theory of money) is the dashed light gray line. The dark dashed line shows where the vectors described above are orthogonal; specifically since all the blue vectors are the same this line shows where an increase in MB does not change the price level. To the left of this line is where monetary policy behaves conventionally ... increasing the base (expansionary monetary policy) leads to inflation. On the right side of this dashed line monetary policy behaves unconventionally ... increasing the base is contractionary! (This is a perverse effect if you have a conventional view of monetary policy. It would lead to something looking like Japanese-style deflation -- attempts to increase the base/stimulate would lead to more and more deflation.) 

I think this helps visualize the effects I talk about here. I am in the process of trying to universalize this diagram in the sense of allowing one to plot different countries in the same space. Particularly, I think plotting this in $\kappa-\sigma$ space where $\sigma = Q^s/Q^s_{ref}$ will allow me to put US and Japanese data on the same graph. It will be the subject of an upcoming post; stay tuned.

5 comments:

  1. That upcoming post is here:
    http://informationtransfereconomics.blogspot.com/2013/07/universalizing-model-kappa-sigma-space.html

    ReplyDelete
  2. Hello Bourbaki! Interesting stuff. I find this very interesting-I know a lot of economists-particularly the heterodox kind-think that economists should work more with physicists.

    I must admit to not being entirely sure what the information transfer model is-anyway you can give a summary explanation?

    If the relationship between the movements of NGDP and the MB have changed what might the implications be?

    I found this post particularly fascinating because I've long been interested in properly understanding the true difference between fiscal and monetary stimulus.

    What might the ITM tell us about this?

    ReplyDelete
    Replies
    1. Thanks!

      I put together a summary:
      http://informationtransfereconomics.blogspot.com/2013/07/a-summary-of-information-transfer-model.html

      I tried to get at the implications (or at least some idea of what could happen) here:
      http://informationtransfereconomics.blogspot.com/2013/07/predicting-2020-with-information.html

      Delete
  3. LOL. Applying math to ill-defined variables.

    ReplyDelete
    Replies
    1. I agree, but the paradigm is thermodynamics in the 1800s or information theory in the 1900s. The concepts of temperature, entropy and in the latter case information were ill-defined until a real framework (Boltzmann, Shannon) was developed for talking about them.

      Delete

Comments are welcome. Please see the Moderation and comment policy.

Also, try to avoid the use of dollar signs as they interfere with my setup of mathjax. I left it set up that way because I think this is funny for an economics blog. You can use € or £ instead.