Math is Bad for Equities

By: Michael Ashton | Tue, Jun 7, 2016
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In recent years, equities have been carried higher by several compounding effects: the growth of the economy, expanding profit margins, and expanding multiples.

These three things, by definition, determine equity prices (if we assume that gross sales are tied to economic growth):

Price = Price/Earnings x Earnings/Sales x Sales

When all three are rising, as they have been, it is a strong elixir for stock prices. Now, this explains why stock prices are so high, but the devil lies in predicting these components of course - no mean feat.

Yet, we can make some observations. It has been the case for a while that P/E ratios have been extremely high by historical measures, with the Shiller Cyclically-Adjusted P/E ratio (CAPE) roughly doubling since the bottom in 2009. With the exception of the equity bubble in 1999-2000, the CAPE has never been very much higher than it is now, at 26.4 (see chart, source Gurufocus). This should come as no surprise to anyone who follows markets regularly.

Shiller P/E 10

Somewhat less obviously, recently sales have been declining. However, on a rolling-10-year basis, the rise has been reasonably steady as the chart below (Source: Bloomberg) illustrates. Over the last 10 years, sales per share have risen about 2.85% per year.

Trailing 12-Month Sales

Finally, profit margins have recently been elevated. In fact, they have been elevated for a long time; the 10-year average profit margin for the S&P 500 (see chart, source Bloomberg) has risen to 8% from 6% only a few years ago. Recently, however, profit margins have been receding.

Trailing 12-Month Profit Margin

Both the rise in profit margins and the current drop in them make some sense. Value creation at the company level must be divided between the factors of production: land, labor, and capital. When there is substantial unemployment, labor has little bargaining power and capital tends to claim a higher share. Moreover, labor's share is relatively sticky, so that speculative capital absorbs much of the business-cycle volatility in the short run. This is ever the tradeoff between the sellers of labor and the buyers of labor.

I used 10-year averages for all of these so that we can use CAPE; other measures of P/E are fraught. So, if we take 26.4 (CAPE) times 7.84% (10-year average profit margin) times 1005.55 (10-year average sales), we get an S&P index value of 2081, which is reasonably close to the end-of-May value of 2097. That's not surprising - as I said, these three things make up the price, mathematically.

So let's look forward. Recently, as the Unemployment Rate has fallen - and yes, I'm well aware that there is more slack in the jobs picture than is captured in the Unemployment Rate, but the recent direction is clear - wages have accelerated as I have documented in previous columns. It is unreasonable to expect that profit margins could stay permanently elevated at levels above all but a few historical episodes. Let's say that over the next two years, the average drops from 7.84% to 7.25%. And let's suppose that sales continue to grow at roughly 2.85% per year (which means no recession), so that sales for the S&P are at 1292 and the 10-year average at 1064.15. Then, if the long-term P/E remains at its current level, the S&P would need to decline to 2037. If the CAPE were to decline from 26.4 to, say, 22.5 (the average since 1990, excluding 1997-2002), the S&P would be at 1736.

None of this should be regarded as a prediction, except in one sense. If stock prices are going to continue to rise, then at least one of these things must be true: either multiples must expand further, or sales growth must not only become positive again but actually accelerate, or profit margins must stop regressing to the mean. None of these things seems like a sure thing to me. In fact, several of them seem downright unlikely.

The most malleable of these is the multiple...but it is also the most ephemeral, and most vulnerable to an acceleration in inflation. We remain negative on equities over the medium term, even though I recently advanced a hypothesis about why these overvalued conditions have been so durable.


P.S. Don't forget to buy my book! What's Wrong with Money: The Biggest Bubble of All. Thanks!

You can follow me @inflation_guy!

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Michael Ashton

Author: Michael Ashton

Michael Ashton, CFA

Michael Ashton

Michael Ashton is Managing Principal at Enduring Investments LLC, a specialty consulting and investment management boutique that offers focused inflation-market expertise. He may be contacted through that site. He is on Twitter at @inflation_guy

Prior to founding Enduring Investments, Mr. Ashton worked as a trader, strategist, and salesman during a 20-year Wall Street career that included tours of duty at Deutsche Bank, Bankers Trust, Barclays Capital, and J.P. Morgan.

Since 2003 he has played an integral role in developing the U.S. inflation derivatives markets and is widely viewed as a premier subject matter expert on inflation products and inflation trading. While at Barclays, he traded the first interbank U.S. CPI swaps. He was primarily responsible for the creation of the CPI Futures contract that the Chicago Mercantile Exchange listed in February 2004 and was the lead market maker for that contract. Mr. Ashton has written extensively about the use of inflation-indexed products for hedging real exposures, including papers and book chapters on "Inflation and Commodities," "The Real-Feel Inflation Rate," "Hedging Post-Retirement Medical Liabilities," and "Liability-Driven Investment For Individuals." He frequently speaks in front of professional and retail audiences, both large and small. He runs the Inflation-Indexed Investing Association.

For many years, Mr. Ashton has written frequent market commentary, sometimes for client distribution and more recently for wider public dissemination. Mr. Ashton received a Bachelor of Arts degree in Economics from Trinity University in 1990 and was awarded his CFA charter in 2001.

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