Category Archives: P/E ratio

Chart of the Day: PE ratios 1921-1930

Below is the average price-to-earnings ratio of twelve stocks from the 1921 low to December 1930.

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Worth noting is that the late 1929 low would have been considered undervalued to most investors.

Current Implication of Market Valuation

There's no denying that the current bull market has caught many professionals and individuals by surprise.  Many are pondering on the sideline as to when and if this bull market will ever end.

Our recent study of market return (Analysis of Long-Term Return from Equity Market) suggested that equity on average will provide a rate of return between 9% - 10%, but one should be caution of the year-to-year fluctuation.  Also, one should make a distinction between the return from the market and return to individual investor.  The ladder tend to be lower due to an error in market timing.  The biggest contributor that will determine your rate of return is the price you pay for any investment (mutual fund, ETF, real estate, or individual stock).  When we look at individual stock, there's a high correlation between them and the market.  That is, if the market appears to be overvalued and faces downward pressure, it would be difficult for an individual stock to break such trend.

This lead us to our next topic which is the current market valuation.  Where do we currently stand based on historical market valuation?  The data we've chosen to present is the data provided by Robert Shiller of Yale University (found here).  While his data set spans far beyond 1950, the inception of S&P 500, we will not be using them since we can't validate the accuracy of his conversion.

The two key elements of market valuation are price earning ratio (P/E) and dividend yield.  Let use inspect the first element, the P/E ratio.  The current market P/E is 19.  While one may say that the market is expensive, we need historical data to prove such claim.  Based on the data, the market will on average trade between P/E of 18 and 20 thus placing the current state at or near fair value.  The table below indicate frequencies in months that the market trade in specific P/E range.  At P/E of 20, the market is at 78th percentile which statistically imply that there is a 22% chance for the market to continue to advance beyond current level.

P/E Months Cumulative %
6 0 0%
8 52 7%
10 65 15%
12 78 25%
14 72 35%
16 79 45%
18 147 64%
20 110 78%
22 38 83%
24 32 87%
26 18 90%
28 18 92%
30 18 94%
32 10 96%
34 9 97%
36 3 97%
38 3 98%
More 19 100%

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Now let us look at dividend yield and its implication.  Current dividend yield is 1.9% which place the current valuation in the 80th percentile (dividend yield has inverse relationship on valuation, higher figure imply lower valuation and vice versa).  As such, there is less than 20% chance of market advancing beyond the current level.

Div Yield Months Cumulative %
1.0% 0 0.00%
1.5% 49 6.33%
2.0% 111 20.67%
2.5% 60 28.42%
3.0% 110 42.64%
3.5% 154 62.53%
4.0% 88 73.90%
4.5% 63 82.04%
5.0% 45 87.86%
5.5% 34 92.25%
6.0% 28 95.87%
6.5% 12 97.42%
7.0% 14 99.22%
>8% 6 100.00%

SP500-YIELD-1950_2014.jpg

To sum it all up, the market appears to be trading at or slightly above its fair value.  The market, however, does not simply trade up (or down) to the average then revert course in the opposite direction.  The fact that we have reached a valuation level not seen since the peak of 2007 hardly mean that the market can’t simply continue higher.  Our study simply suggests that the odd of that happening diminish with every single point increase in P/E ratio.  If we have to speculate, we would be incline to say that S&P 500 would reach 25 P/E before starting to taper off.  Even so, one need to understand the historical perspective and statistics of the market before putting their hard earn money to work at this level.

P-E Ratios: Lessons From Conflicting Indications

When discussion of market valuation comes up, the mention of price-to-earnings ratios (p/e ratio) is often brought up to possibly explain if the market is overvalued or undervalued.  The arguments generally follow along the line of reasoning that when the stock market rises then so too will the p/e ratio which will indicated when the market is overvalued on a relative basis.  Alternatively, when the stock market is in a declining trend, the p/e ratio will also decline to historical lows allowing for a good indication of when the market is undervalued.  The point usually is that there is a correlating relationship between the rise and fall of the stock market and p/e ratios.

While the  line of reasoning regarding p/e ratios and stock market valuation is logical and can easily be demonstrated over a majority of stock market history, there have been periods when an inverse relationship between the stock market and the p/e ratio suggests a shift in market direction.  The periods of an inverse relationship should shed light on the challenges and limits of using p/e ratios for determining market valuation.  The following are examples of periods where high p/e ratios represented a stock market that either has nearly bottomed or  was about to take off and periods when a low p/e ratio indicated that the market was about to trade in a range or decline.

Starting with the first example of an inverse relationship between the S&P 500 and the p/e ratio (data compiled by Robert Schiller; S&P 500 index did not exist before 1957) was the period of 1905 as seen in the chart below.

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The short period of time that this conflicting signal occurred was followed by both the inflation-adjusted S&P 500 and the unadjusted Dow Jones Industrial Average being mired in substantial underperformance in the period from 1905 until 1924-27 as seen in the charts below.

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According to Robert Schiller’s work, on an inflation adjusted basis, the S&P 500 meaningfully broke above the 1905 level in 1927 while the Dow Jones Industrial Average achieved new heights after 1924.  Within this extended period of time from 1905 to 1927, the inverse relationship between the real S&P 500 index and the p/e ratio occurred again during June 1913-November 1914 period, where the index declined while the p/e ratio increased.  This was followed by an increase in the real S&P 500 from December 1914 to December 1915 before the overall decline continued to the 1921 low.

The low of the stock market in 1921 was punctuated with the stock market exceeding a p/e ratio of 50 times before going into deficit due to a lack of earnings.  This happened to be the time when the Dow Jones Industrial Average was at 65 before going to the 1929 high of 381 and the real S&P 500 at 83 before the 1929 high of 416, as tabulated by Schiller-S&P.

Another significant period when the p/e ratio of the market declined in the face of a rising market was January 1929 to November 1929.  During this period, The Dow Industrials increased from 296 to 381 and the real S&P 500 increased from 311 to 416, or 27% and +33%, respectively.   The chart below shows the p/e ratio for ALL S&P Industrials in the period from January 1928 to November 1929 (source: Fisher, Kenneth. The Wall Street Waltz. Contemporary Books, Chicago. 1987. page 68-69).

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This is an instance where the stock market still had plenty of room to run on the upside in 1928 and much less upside potential as 1929 was coming to an end.  The performance of the S&P 500 after this mixed signal was –80%.  In the January to November 1929 period, the Dow Industrials saw the p/e ratio decline from 19 to 14.

Punctuating the inverse relationship between p/e ratios and the market’s valuation was the period from 1932 where the p/e ratio for the Dow Jones Industrial Average rose well above 50 and ultimately went into deficit at a time when the stock market, despite the onset of the “Great” Depression, was to move higher and never look back.

The next period of a clear inverse relationship between the stock market and the p/e ratio was from 1934 to 1937 as indicated in the chart of the Dow Jones Industrial Average below.

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The culmination of this inverse relationship was the 1937 peak in the Dow Jones Industrial Average which was followed by a -50% decline in the index to the 1942 low.  As the market declined from the 1937 peak, the p/e ratio for the Dow Industrials began to rise to above 25 times in 1938.  The Dow Industrials, with the p/e ratio catapulting from the low of nearly 14 times in 1937 to over 25 times in 1938, gained +50% from March 1938 to November 1938.

The next period of divergence between the stock market and its respective p/e ratio was from 1960 to 1973 when the Dow Industrials rose from 700 to 1,050 as the p/e ratio declined from 21 times to 11 times.  The Dow Jones Industrial Average was not able to meaningfully exceed the 1,000 mark until 1982.

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This same scenario has been played out in individual stocks, with the p/e ratio declining as the stock rises and the p/e ratio rising substantially as the stock declines.  Our interpretation of these significant “outliers” is that they may render the use of p/e ratios, as a determining factor of market under/overvaluation, relatively challenging.  This does not mean that such ratios cannot be useful for valuation metrics.  Instead, it suggests that such a consideration should be put into proper perspective with the understanding that there is a limit to the value that price-to-earnings ratios can provide in determining market valuation.

To us, the most important element that needs to be incorporated when considering the p/e ratio is when it didn’t seem to work as expected for the respective stock or index.  In the examples given above, the exceptions should prove to be instructive when deciding if a favorite stock or index is over-valued or under-valued.