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Back to School!

September 3, 2014 2 comments

Back to school! It is the beginning of September, post-Labor Day, and students everywhere are back to school.

It is the time of year when investors, too, tend to be schooled – as bond markets tend to strengthen and equity markets to weaken (relative to the overall drift). It doesn’t happen every year, but the tendency in fixed income markets is strong enough that, as a rule, I demand much stronger reasons to sell bonds in September and October than during the rest of the year.

This year, we appear to be in for a special treat. We all get to learn new acronyms, like ISIS, and Americans are learning where Ukraine is on a map of the world. What fun.

Monetary policymakers tend to be resistant to further lessons, since after all they have had so many years of book learning that, darn it, they should know enough by now! And yet – there is so much about economics and monetary policy that we just don’t know; so much that isn’t knowable; and so much that we know with great confidence but just isn’t so.

However, I have been delighted to find that recently, the subject of money velocity has been appearing more frequently in policy circles. To a monetarist, velocity is one of a very small handful of things that matter, and its absence from discussions among the learned has been a terrible sign that monetarism was not merely in retreat, but almost extinct. And yet, the predictions of monetarism have been borne out time and time again (that is, the actual predictions, not the idea that printing money causes economic growth – a prediction that presupposes a high degree of money illusion is at work), while the predictions of Keynesian economists have only worked once the parameters are revised post-hoc to fit the crisis. Increased money supply growth got Japan out of its deflationary spiral – as predicted. None of the Keynesian solutions deployed over the last two decades have worked, but the first attempt at serious money-printing worked. (Although it remains to be seen if the BOJ will keep its pedal to the metal; it certainly hasn’t yet “doubled the money supply” as it had pledged to do).

High money growth – that is, transactional money and not inert reserves – always accompanies high inflation. For a time, money growth may be offset by declining money velocity, but we also know quite a bit about what causes money velocity to move. Last year I cited a rare paper by a central banker (Samuel Reynard at the Swiss National Bank) that really had insight on these almost-forgotten tenets of monetarism. And this year, I am delighted to note that some economists at the St. Louis Fed have published a brief note entitled “What Does Money Velocity Tell Us about Low Inflation in the U.S.?” While the authors, Yi Wen and Maria Arias, mistakenly focus on the velocity of base money, and thus reach an incorrect conclusion that individuals are “hoarding” money (when it in fact is sitting in bank reserves, untouched), it is nevertheless the right topic and the right question, and that’s most of the battle.

I have previously shown the chart of interest rates and money velocity, so let me show it again.

m2andrates

This is important, because it’s the single biggest risk to a significant inflation accident. While the low vacancy rate and the rapid growth in housing prices will continue to push rents higher, bringing median and/or core inflation above 3% by early next year, we can live with 3%. The risk for much worse inflation is all tied to a rebound in monetary velocity. It bears repeating. From 2008 to 2013, money growth was rapid but declining money velocity (tied to interest rate declines, mainly) restrained inflation. If money growth remains at the same level but money velocity merely stabilizes, it is consistent with inflation of 3%-4%. But if money velocity reverses even a part of its post-crisis decline, then inflation could move appreciably higher. Since Q2 of 2008, the velocity of M2 has fallen at a 3.76% annualized rate; were that to reverse, with the same money supply growth, then the 3-4% inflation becomes 6.75%-7.75% inflation, which I think we would all agree is a bad thing.

Now, the unfortunate thing is that models of velocity that incorporate interest rates and certain other factors already indicate that money velocity should be rising. The chart below shows our proprietary model of money velocity; as you can see, since mid-2013 there has been a large and growing gap between what the model implies and where money velocity has actually been recorded. This might well mean that the model is wrong. But we should also take it as indicating the risk of a rise in velocity is real, whether it is a 1% or 2% rise per year, or a 15% snap-back over a shorter period of time.

eimodelvel

As I always admonish, that’s a big picture concern, and not something to trade tomorrow. I would be gradually accumulating positions in inflation swaps, caps, breakevens, and broad commodity indices. There is time before people start to get really concerned. But to my mind, what is interesting is that the central bankers are now at least starting to reconsider velocity.

When In Doubt, Add a Parameter

With heavy travel over the last week and looming over the next couple of weeks, I figured that I really ought to get an article out before everyone forgets that I write a blog.

It isn’t that there is a dearth of topics. I have so much to talk about that I am brimming over; however, between the usual press of our Quarterly Inflation Outlook (which comes out after the CPI number this month) and the press of business-seeking activity, it has been difficult to put virtual pen to virtual paper.

Here is a great example. The New York Fed blog routinely gives me great material, both positive and negative. They’ve just published an article entitled “Inflation in the Great Recession and New Keynesian Models” with a followup article called “Why Didn’t Inflation Collapse in the Great Recession?” The pair of articles could just as easily be entitled, “When Your Model Doesn’t Work, Add a Parameter.”

I have said on a number of occasions that the credit crisis was a great test of the fundamental Keynesian hypothesis that inflation is caused by growth relative to potential output. And, in the event, that hypothesis was shown to be as bankrupt as Countrywide. I have always liked the way I summed up the state of the argument in 2012:

“The upshot is that we’ve just come off the biggest recession in 80 years, and inflation barely slowed. In fact, if you remove the effects of the bubble unwind in housing, it didn’t slow at all. If growth causes inflation, and if recessions are by definition deflationary, then we should have seen a decline in core prices.”

Here is the chart that accompanies that assertion:

gdpcoreinflation

Now, this doesn’t mean that the monetarists are right, but it assuredly means that the Keynesians are wrong. It is far too much, though, to ask for the peaceful surrender of this view. Instead, the Keynesians (or “New Keynesians” if you prefer) first recalibrated their models, like Goldman did in 2012. (Note, incidentally, that their re-calibrated model called for sharply declining core inflation starting from the moment they published that prediction, converging on 1.4% or so in 2013. In actuality, Median CPI basically went sideways from 2011 until recently. Core inflation declined, but only because of the one-off effect of the sequester, which I don’t imagine is what Goldman was forecasting).

What the NY Fed authors have done is to postulate that the real problem with New Keynesian models is that slack isn’t measured right, but rather that “the present value of expected future marginal costs is the more meaningful way of measuring slack.” It is a wonderful thing to be able to live in a world of models populated with unobservable variables that just happen to take on the right values to make the theory work. Even if, from time to time, one needs to re-calibrate when the model’s predictions don’t work out.

For the rest of us, the fact that monetarist models predicted that inflation would not plunge in the crisis, and have consistently given predictions wholly consistent with subsequent outcomes – without requiring re-parameterization – is a pretty strong argument that it’s likely to be closer to the right way to look at the world…even if it doesn’t give us as much to do.

Inflation and Insurance Companies

February 5, 2014 Leave a comment

On this site I almost never cross-reference posts that have been put up on the Enduring Investments blog, because access to that blog is only available to investors that we pre-screen while this blog is available to pretty much anyone. So, if I post something at the Enduring Investments site, it’s generally intended for a different audience than are the articles put here.

However, in this case I am making an exception because I think the article just posted on that blog, “Inflation and Insurers: How Inflation Resembles a Reinsurance Problem,” contains really important thoughts applicable to anyone in the insurance industry – and we’ve gotten feedback from a number of insurance companies that our presentation on this topic is timely and insightful. So, if you represent an insurance company or know of someone who ought to hear these thoughts, send them to the link above!

More on Health Care: Agreeing on the Questions

Since I wrote a blog post in early December on “The Effect of the Affordable Care Act on Medical Care Inflation,”  in which I lamented that “I haven’t seen anything of note written about the probable effect of the implementation of the Affordable Care Act on Medical Care CPI,” several things have come to my attention. This is a great example of one reason that I write these articles: to scare up other viewpoints to compare and contrast with my own views.

In this case, the question is not a trivial one. Personally, I approach the issue from the perspective of an inflation wonk,[1] but the ham-handed rollout of the ACA has recently spawned greater introspection on the question for purely political reasons. This is awkward territory, because articles like that by Administration hack Jason Furman in Monday’s Wall Street Journal do not further the search for actual truth about the topic. And this is a topic on which we should really care about a number of questions: how the ACA is affecting prices, how it is affecting health care utilization and availability, how it is affecting long-term economic growth, and so on. I will point out that none of these are questions that can be answered definitively today. My piece mentioned above speculated on possible effects, but we simply will not know for sure for a long time.

So, when Furman makes statements like “The 7.9 million private jobs added since the ACA became law are themselves enough to disprove claims that the ACA would cause the sky to fall,” we should immediately be skeptical. It should be considered laughably implausible to suggest that Obamacare had a huge and distinguishable effect before it was even implemented. Not to mention that it is very bad science to take a few near-term data points, stretching only for a couple of years in a huge and ponderous part of the economy, to extrapolate trends (this is the error that Greenspan made in the 1990s when he heralded the rise in productivity growth that was eventually all revised away when the real data was in). Furman also conflates declines in the rate of increase of spending with decelerating inflation – but changes in health care spending include price changes (inflation) as well as changes in utilization. I will talk more about that in a minute, but suffice to say that the Furman piece is pure politics. (A good analysis of similar logical fallacies made by a well-known health care economist that Furman cites is available here by Forbes.)

I want to point you to another piece (which also has flaws and biases but is much more subtle about it), but before I do let’s look at a long-term chart of medical care inflation and the spread of medical care inflation to headline inflation. One year is far too short a period to compare these two things, not least because one-time effects like pharmaceuticals losing patent protection or sequester-induced spending restraints can muddy the waters in the short run. The chart below (source: Enduring Investments) shows the rolling ten-year rise in medical care inflation and, in red, the difference between that and rolling ten-year headline inflation.

medicalcareYou can see from this picture that the decline in medical care inflation, and the tightening of the spread between medical care inflation and headline inflation, is nothing particularly new. Averaging through all of the year-to-year wiggles, the spread of medical care has been pretty stable since the turn of the century (which, since this is a 10-year average, means it has been pretty stable for a couple of decades). Maybe what we are seeing is actually the anticipation of HillaryCare? (Note: that is sarcasm.)

Now, the tightening relative to overall inflation is a little exaggerated in that picture, because for the last decade or so headline inflation has been somewhat above core inflation due to the persistent rise in energy prices throughout the ‘00s. So the chart below (source: Enduring Investments) shows the spread of medical care inflation over core inflation, which demonstrates even more stability and even less reason to think that something big and long-term has really changed. At least, not that we would already know about.

medicwithcoreThe other piece I mentioned, which is more worth reading (hat tip Dr. L) is “Health Care Spending – A Giant Slain or Sleeping?” in the New England Journal of Medicine. The authors here include David Cutler, whom Forbes suspected was tainting his views with politics (see link above), so we need to be somewhat cautious about the conclusions but in any event they are much more nuanced than in the Furman article and the article makes a number of good points. And, at the least, the authors distinguish between spending on health care and inflation in health care. A few snippets, and my remarks:

  • “Estimates suggest that about half the annual increase in U.S. health care spending has resulted from new technology. The role of technology itself partly reflects other underlying forces, including income and insurance. Richer countries can afford to devote more money to expensive innovations.” This is an interesting observation that we ought to think carefully about when professing a desire to “bend the cost curve.” If we are reining in inflation, that’s a good thing. But is it a good thing to rein in innovation in health care? I don’t think so.
  • The authors, though, clearly question the value of technological innovation. “The future of technological innovation is, of course, unknown. But most forecasts do not call for a large increase in the number of costly new treatments… some observers are concerned that a wave of costly new biologic agents (for which generic substitutes are scarce) will soon flood the market.” Heaven forbid that we get new treatments! “The use of cardiac procedures has slowed as well.” This is a good thing?
  • “Health spending has clearly been associated with health improvements, but analysts differ on whether the benefits justify the cost.” Personally, it makes me uncomfortable to leave this question in the hands of the analysts. If the benefits don’t justify the cost, and the market was free, then no one will pay for those improvements. It’s only with a highly regulated market – replete with “analysts” doing their cost/benefit analysis on health care improvements – that this even comes up.
  • Some of the statistical argument is a little weak. “The recent reduction in health care spending appears to have been correlated with slower employment growth in the health care field; this suggests that such changes may continue.” I’m not sure that the causality runs that way. Surely tighter limits on what health care workers can earn might cause slower employment growth? That’s at least as plausible as the direction they are arguing.

That sounds very critical, but I point these things out mainly to make them obvious. Overall, the paper does a very good job of discussing the possible causes of the recent slowdown in health care inflation (although they focus inordinately on “the first 9 months of 2013”, a period during which we know the sequester impacted health care prices), give plenty of credit to reforms instituted far before ACA implementation, correctly distinguish between utilization and prices, and highlight some of the promising trends in health care costs – and yes, there are some! The authors are clearly supportive of the ACA, which I am not, but by and large they raise the salient questions.

It matters less if we instantly agree on the solution than that we agree on the questions.


[1] Actually, a little more than a generic inflation wonk in this case; I’ve also written about, presented on (and you can listen to my presentation while you walk through the slides) and consulted on the topic of hedging health care inflation, for example in post-employment benefit plans.

RE-BLOG: Side Bet With Ben?

December 26, 2013 1 comment

Note: The following blog post originally appeared on June 14, 2012 and is part of a continuing year-end ‘best of’ series, calling up old posts that some readers may have not seen before. I have removed some of the references to then-current market movements and otherwise cut the article down to the interesting bits. You can read the original post here.

           

That said, there could be some signs that core CPI is flattening out. Of the eight ‘major-groups’, only Medical Care, Education & Communication, and Other saw their rates of rise accelerate (and those groups only total 18.9% of the consumption basket) while Food & Beverages, Housing, Apparel, Transportation, and Recreation (81.1%) all accelerated. However, the deceleration in Housing was entirely due to “Fuels and Utilities,” which is energy again. The Shelter subcategory accelerated a bit, and if you put that to the “accelerating” side of the ledger we end up with a 50-50 split. So perhaps this is encouraging?

The problem is that there is, as yet, no sign of deceleration in core prices overall, while money growth continues to grow apace. I spend a lot of time in this space writing about how important money growth is, and how growth doesn’t drive inflation. I recently found a simple and elegant illustration of the point, in a 1999 article from the Federal Reserve Board of Atlanta’s Economic Review entitled “Are Money Growth and Inflation Still Related?” Their conclusion is pretty straightforward:

“…substantial changes in inflation in a country are associated with changes in the growth of money relative to real income…the evidence in the charts is inconsistent with any suggestion that inflation is unrelated to the growth of money relative to real income. On the contrary, there appears to be substantial support for a positive, proportional relationship between the price level and money relative to income.”[1]

But the power of the argument was in the charts. Out of curiosity, I updated their chart of U.S. prices (the GDP deflator) versus M2 relative to income to include the last 14 years (see Chart, sources: for M2 Friedman & Schwartz, Rasche, and St. Louis Fed, and Measuring Worth for the GDP and price series). Note the chart is logarithmic on the y-axis, and the series are scaled in such a way that you can see how they parallel each other.

That’s a pretty impressive correlation over a long period of time starting from the year the Federal Reserve was founded. When the authors produced their version of this chart, they were addressing the question of why inflation had stayed above zero even though M2/GDP had flattened out, and they noted that after a brief transition of a couple of years the latter line had resumed growing at the same pace (because it’s a logarithmic chart, the slope tells you the percentage rate of change). Obviously, this is a question of why changes in velocity happen, since any difference in slopes implies that the assumption of unchanged velocity must not hold. We’ve talked about how leverage and velocity are related before, but an important point is that the wiggles in velocity only matter if the level of inflation is pretty low.

A related point I have made is that at low levels of inflation, it is hard to disentangle growth and money effects on inflation – an observation that Fama made about thirty years ago. But at high levels of inflation, there’s no confusion. Clearly, money is far and away the most important driver of inflation at the levels of inflation we actually care about (say, above 4%!). The article contained this chart, showing the same relationship for Brazil and Chile as in the chart updated above:

That was pretty instructive, but the authors also looked across countries to see whether 5-year changes in M2/GDP was correlated with 5-year changes in inflation (GDP deflator) for two windows. In the chart below, the cluster of points around a 45-degree line indicates that if X is the rate of increase in M2/GDP for a given 5-year period, then X is also the best guess of the rate of inflation over the same 5-year period. Moreover, the further out on the line you go, the better the fit is (they left off one point on each chart which was so far out it would have made the rest of the chart a smudge – but which in each case was right on the 45-degree line).

That’s pretty powerful evidence, apparently forgotten by the current Federal Reserve. But what does it mean for us? The chart below shows non-overlapping 5-year periods since 1951 in the U.S., ending with 2011. The arrow points to where we would be for the 5-year period ending 2012, assuming M2 continues to grow for the rest of this year at 9% and the economy is able to achieve a 2% growth rate for the year.

So the Fed, in short, has gotten very lucky to date that velocity really did respond as they expected – plunging in 2008-09. Had that not happened, then instead of prices rising about 10% over the last five years, they would have risen about 37%.

Are we willing to bet that this time is not only different, but permanently different, from all of the previous experience, across dozens of countries for decades, in all sorts of monetary regimes? Like it or not, that is the bet we currently have on. To be bullish on bonds over a medium-term horizon, to be bullish on equity valuations over a medium-term horizon, to be bearish on commodities over a medium-term horizon, you have to recognize that you are stacking your chips alongside Chairman Bernanke’s chips, and making a big side bet with long odds against you.

I do not expect core inflation to begin to fall any time soon. [Editor's Note: While core inflation in fact began to decelerate in the months after this post, median inflation has basically been flat from 2.2% to just above 2.0% since then. The reason for the stark difference, I have noted in more-recent commentaries, involves large changes in some fairly small segments of CPI, most notably Medical Care, and so the median is a better measure of the central tendency of price changes. Or, put another way, a bet in June 2012 that core inflation was about to decline from 2.3% to 1.6% only won because Medical Care inflation unexpectedly plunged, while broader inflation did not. So, while I was wrong in suggesting that core inflation would not begin to fall any time soon, I wasn't as wrong as it looks like if you focus only on core inflation!]


[1] The reference of “money relative to income” comes from manipulation of the monetary identity, MV≡PQ. If V is constant, then P≡M/Q, which is money relative to real output, and real output equals income.

Madness or Wisdom?

December 3, 2013 2 comments

Trading, and to some extent investing, is all about knowing when markets are moving with the wisdom of the crowds and when they’re moving with the madness of the crowds. In recent years, there has seemed to be much more madness than wisdom (a statement which can probably be generalized beyond the financial markets themselves, come to think of it). Where do we stand now?

I think a recent letter by John Hussman of Hussman Strategic Advisors, entitled “An Open Letter to the FOMC: Recognizing the Valuation Bubble In Equities,” is worth reading. Hussman is far from the only person, nor even the most august or influential investor, questioning the valuation of equities at the moment. Our own valuation models have had the projected 10-year compounded real return of equities below 3% for several years, and below 2% since late April. For a time, that may have been sustainable because of the overall low level of real rates, but since the summertime rates selloff the expected equity premium has been below 1.5% per annum, compounded – and is now below 1% (see Chart, source Enduring Investments).

realequitypremHussman shows a number of other ways of looking at the data, all of which suggest that equity prices are unsustainable in the long run. But what really caught my eye was the section “Textbook speculative features”, where he cites none other than Didier Sornette. Sornette wrote a terrific book called Why Stock Markets Crash: Critical Events in Complex Financial Systems, in which he argues that markets at increased risk of failure demonstrate certain regular characteristics. There is now a considerable literature on non-linear dynamics in complex systems, including Ubiquity: Why Catastrophes Happen by Mark Buchanan and Paul Ormerod’s Why Most Things Fail: Evolution, Extinction and Economics . But Sornette’s book is one of the better balances between accessibility to the non-mathematician and utility to the financial practitioner. But Hussman is the first investor I’ve seen to publicly apply Sornette’s method to imply a point of singularity to markets in real time. While the time of ‘breakage’ of the markets cannot be assessed with any more, and probably less, confidence than one can predict a precise time that a certain material will break under load – and Hussman, it should be noted, “emphatically” does not lay out an explicit time path for prices – his assessment puts Sornette dates between mid-December and January.

Hussman, like me, is clearly of the belief that we are well beyond the wisdom of crowds, into the madness thereof.

One might reasonably ask “what could cause such a crash to happen?” My pat response is that I don’t know what will trigger such a crash, but the cause would be the extremely high valuations. The trigger and the cause are separate discussions. I can imagine a number of possibilities, including something as innocuous as a bad “catch-up” CPI print or two that produces a resurgence of taper talk or an ill-considered remark from Janet Yellen. But speculating on a specific trigger event is madness in itself. Again, the cause is valuations that imply poor equity returns over the long term; of the many paths that lead to poor long-term returns, some include really bad short-term returns and then moderate or even good returns thereafter.

I find this thought process of Hussman’s interesting because it seems consonant with another notion: that the effectiveness of QE might be approaching zero asymptotically as well. That is, if each increment of QE is producing smaller and smaller improvements in the variables of interest (depending who you are, that might mean equity prices, long-term interest rates, bank lending, unemployment, etc), then at some point the ability of QE to sustain highly speculative valuations goes away and we’re left with the coyote-running-over-the-cliff scenario. Some Fed officials have been expressing opinions about the declining efficacy of QE, and Janet Yellen comes to office on February 2nd. I suspect the market is likely to test her very early.

None of this means that stocks cannot go straight up from here for much longer. There’s absolutely nothing to keep stock prices from doubling or tripling from here, except the rationality of investors. And as Mackay said, “Men, it has been well said, think in herds; it will be seen that they go mad in herds, while they only recover their senses slowly, and one by one.” Guessing at the date on which the crowd will toggle back from “madness” to “wisdom” is inherently difficult. What is interesting about the Sornette work, via Hussman, is that it circles a high-risk period on the calendar.

For two days in a row now, I’ve discussed other people’s views. On Wednesday or Thursday, I’ll share my own thoughts – about the possible effects of Obamacare on measured Medical Care inflation.

Inflation Consequences of QE – per Reynard

December 2, 2013 3 comments

Before getting into today’s column, let me first describe my plan of attack for the month of December. I plan to have several comments this week and next week, culminating in my annual “Portfolio Projections” piece at the end of next week. Then, for the last two weeks of the month, I plan to ‘re-blog’ some of my best articles from the last four years (editing out the current events, which will no longer be topical of course). Included in that list is an article on long-run returns to equities, one on Yellen’s defense of large-scale asset purchases, an article on the Phillips Curve, one on why CPI isn’t a bogus construct of a vast governmental conspiracy, and so on. Because I don’t expect some of the places where this column is ‘syndicated’ to post the re-blogs, you should consider going to the source site to sign up for these posts.

With that housekeeping complete, I want to turn today to a scholarly article I recently stumbled on which is worth a read even once you have read my synopsis and comments. The article, written one year ago by Samuel Reynard of the Swiss National Bank, is entitled “Assessing Potential Inflation Consequences of QE after Financial Crises.” It appears to be unpublished except as a working paper, which perhaps shouldn’t be surprising since it is so decidedly clear-eyed and takes the consensus view of QE to task.

What I love about this article is that Reynard’s view is remarkably consonant with my own – the only example I can come up with of a reasonably-placed central banker espousing such commonsensical views (Daniel Thornton at the St. Louis Fed gets an honorable mention though), backed with quantitative data and clear reasoning. Here is the paper’s abstract:

“Financial crises have been followed by different inflation paths which are related to monetary policy and money creation by the banking sector during those crises. Accounting for equilibrium changes and non-linearity issues, the empirical relationship between money and subsequent inflation developments has remained stable and similar in crisis and normal times. This analysis can explain why the financial crisis in Argentina in the early 2000s was followed by increasing inflation, whereas Japan experienced deflation in the 1990s and 2000s despite quantitative easing. Current quantitative easing policies should lead to increasing and persistent inflation over the next years.”

In the introduction, the author directly tackles current central bank orthodoxy: “It is usually argued that it is sufficient to monitor inflation expectations, and that central banks can avoid accelerating inflation by quickly withdrawing reserves (or by increasing the interest rate payed on reserves) once inflation expectations start rising. The monetary analysis of this paper however shows that there has never been a situation of excess broad money (created by the banking system) which has not been followed by increasing inflation, and that the increase in inflation occurs after several years lags.”

Reynard starts with the quantity theory of money (MV≡PQ), which I have discussed at length in this column. Regular readers will know that I am careful to distinguish transactional money from base money – as does Reynard – and that the sole reason inflation has not accelerated is that money velocity has declined. This decline is not due to the financial crisis directly, but as I have shown before it is due to the decline in interest rates. This makes monetary policy problematic, since an increase in interest rates which in ordinary times (that is, when there isn’t a couple trillion of excess reserves) would cause M2 to decelerate and dampen inflation will also cause money velocity to rise – offsetting to some extent the effects of the rising interest rates on the money supply. (Among other things, this effect tends to help cause monetary policy to overshoot on both sides). Reynard’s insightful way around this problem is to “model equilibrium velocity as a function of interest rate to reflect changes in inflation environments.” That is, the monetary equation substitutes an interest rate variable, based on a long-run equilibrium relationship with velocity, for velocity itself. In Reynard’s words,

“Thus the observed money level is adjusted…by the interest rate times the estimated semi-elasticity of money demand to account for the fact that, for example in a long-lasting disinflationary environment when inflation and interest rate decrease, the corresponding increase in money demand reflecting the decline in opportunity cost is not inflationary: the price level does not increase with the money level given that equilibrium velocity decreases.”

This is exactly right, and it is exceedingly rare that a central banker has that sort of insight – which is one of the reasons we are in this mess with no obvious way out. Reynard then uses his model to examine several historical cases of post-crisis monetary and inflationary history: Switzerland, Japan, Argentina and the 1930s U.S. He finds that there are downward rigidities to the price level that cause inflation to resist turning negative (or to fall below about 1.5% in the U.S.), but that when there is excess liquidity the link between liquidity and inflation is very tight with a lag of a couple of years. Reynard’s opinion is that it is this non-linearity around price stability that has caused prior studies to conclude there is no important link between money and inflation. As Fama observed back in the early 1980s, and I observe pretty much daily to the point that it is now a prohibited topic at the dinner table, when inflation is very low there is a lot of noise in the money-inflation relationship that makes it difficult to find the signal. But the money-inflation connection at higher levels of inflation and money, and over longer periods of time, is irrefutable.

In the last section of the paper, the author assesses the effects of current QE (through November 2012) on future inflation in the U.S. His conclusion is that “Excess liquidity has always been followed by persistent increases in inflation. Current quantitative easing policies should lead to increasing and persistent inflation over the next years.” The chart accompanying this statement is reproduced below.

Capture

As you can see, the model suggests inflation of 3-4% in 2013 and 5% in late 2014. While clearly inflation in 2013 has been lower than suggested by the chart, this isn’t supposed to be a trading model. I suspect that if get 3-4% in 2014 and 5%+ in 2015 (our forecast is for 3.0%-3.6% on core inflation in 2014 and 3.3%-4.8% in 2015), the issue of whether Reynard was essentially correct will not be in question!

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