Is the S&P 500 overvalued? If you ask three analysts, you'll probably get three different answers.

How can that be? Analysts often have different biases, and quote the valuation metric that boost's their outlook. 

Here's a look at four different valuation metrics, which includes one 'un-fudgeable' value gauge and one that could be considered worthless (this also happens to be the most popular one).

Each valuation metrics is plotted against the S&P 500 (time frame: from 1881 – 2013).

Valuation Metric #1: 12-month Trailing P/E

Figure 1 shows the S&P 500 P/E ratio based on 12-month trailing ‘as reported’ earnings.

As of December 31, the 12-month trailing as reported P/E was at 18.19 (19.37 today).

The 134-year average is 15.81. The highest reading was 123.79 (May 2009), the lowest reading was 5.31 (December 1917).

Based on this P/E metric, the S&P 500 (SNP: ^GSPC) is 22.5% overvalued (compared to its 134-year average).

Valuation Metric #2: Cyclically Adjusted P/E

Figure 2 shows the S&P 500 Cyclically Adjusted P/E ratio (CAPE). The CAPE is based on average inflation-adjusted earnings from the previous 10 years (formula: take the annual EPS of S&P 500 for the past 10 years. Adjust EPS for inflation using the CPI. Take the average of inflation adjusted EPS figures over the 10-year period. Divide the current level of the S&P 500 by the 10-year average EPS).

As of December 31, the CAPE was at 24.86 (26.11 today).

The 134-year average is 16.61. The highest reading was 44.20 (December 1999), the lowest reading was 4.78 (December 1920).

Based on the CAPE, the S&P 500 (NYSEArca: SPY) is 57.2% overvalued.

Valuation Metric #3: Forward (Imaginary) P/E

The forward P/E is based on forecasted (or projected) earnings. Wall Street analysts are generally optimistic and most optimistic towards market peaks. As such, earnings forecasts are often inflated, resulting in depressed P/E ratios.

The current S&P 500 P/E based on projected earnings is 18.26 (as of last Friday). This P/E doesn't have a 134-year history, but here is what Factset says about the forward P/E: "The current 12-month P/E ratio is stil below the 15-year average (16.0). During the first two years of this time frame (1999 - 2001), the forward P/E ratio was consistently above 20.0, peaking at around 25. With the forward P/E ratio still below the 15-year average and not close to the higher P/E ratios recorded in the early years of this period, one could argue that the index may still be undervalued."

Is P/E Ratio Analysis Worthless?

There are two problems with P/E ratio based valuation analysis:

1) Corporations can and often do fudge their balance sheets (such as FASB rule 157). More details about one of the biggest loopholes here: The Simple Trick that Ruined the P/E Ratio for Everybody

2) Multiple expansion: Multiple expansion is a fancy term for investors’ willingness to overpay for stocks. Some research suggests that 70% of bull market returns are based on multiple expansion.

The ‘Non-Fudgeable’ Valuation Metric

Investors are irrational and corporations can cook the books, but one gauge that can’t be fudged are dividends. Dividends are either paid, or not.

The S&P 500 dividend yield was at 1.94% on December 31 (1.85% today).

The 134-year average is 4.32%. The highest yield was 13.84% (June 1932), the lowest yield 1.11% (August 2000).

Based on dividend yields, the S&P 500 is 57.2% overvalued.

Conclusion

As the chart comparison of the various valuation metric with the S&P 500 shows, valuations don’t work as short-term market timing tools. What does work as short-term timing tool?

Investor sentiment has been a very helpful tool. Extreme bearishness in May foreshadowed higher prices. This has now shifted, and two sentiment gauges have turned bullish, in fact they are at multi-year extremes. Here's what this means for stocks:

Two Sentiment Gauges Reach Multi-Year Bullish Extremes

Simon Maierhofer is the publisher of the Profit Radar Report. The Profit Radar Report presents complex market analysis (S&P 500, Dow Jones, gold, silver, euro and bonds) in an easy format. Technical analysis, sentiment indicators, seasonal patterns and common sense are all wrapped up into two or more easy-to-read weekly updates. All Profit Radar Report recommendations resulted in a 59.51% net gain in 2013.

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