- The best fit line and prediction band were re-calculated from Jan-1871 to Sep-2022. This added over 10 years of data after July-2012, the end date of the previous regression analysis.
- The average of S&P 500 for Oct-2022 was 3,726 (20% down from Dec-2021 average of 4,675) and is 207 points higher than the corresponding re-calibrated long-term trend value of 3,519.
- For the S&P 500 to reach the long-trend would entail only a 6% decline from the October average value, indicating that the S&P 500 is not significantly overvalued anymore.
- The Shiller CAPE-ratio is at 27.2, only 6% higher than its 35-year moving average (MA35), currently at 25.7, forecasting a relatively high 10-year annualized real return of about 7.5%.
- However, rising inflation with a falling CAPE-MA35 ratio, similar to what occurred in the period 1964-1973, implies very low or negative 10-year forward annualized real returns.

This is an update to our series of articles started in 2012 assessing market valuation and estimating forward stock market returns. The most recent previous update was for September 2022.

The December 2021 update concluded that the then prevailing condition of overvaluation suggested zero returns from stocks to the end of 2028 and the danger of an imminent major downturn for equities. By end of February 2022 the S&P 500 was 5% lower and since then the index has declined further as predicted in the March, July and September 2022 updates, now having declined a total of 20% from the December 2021 average. .

The projections here are partly based on Estimating Forward 10-Year Stock Market Returns using the Shiller CAPE Ratio and its 35-Year Moving Average, which is referred to as the “referenced article” further down.

### What short-term stock market returns can be expected?

Nobody knows, and the best one can do is to use the historic data (which is from Shiller’s S&P series) to guide us to make estimates for the future. From the real price of the S&P-Composite with dividends re-invested (S&P-real) one finds that the best-fit line from 1871 onward is a straight line when plotted to a semi-log scale. There is no reason to believe that this long-term trend of S&P-real will be interrupted.

S&P-real and the recalculated best fit line together with its 95% prediction band lines are shown in Figure-1, updated to end of October 2022. (See the appendix for the equations which now includes an additional 10 years of data in the regression analysis after July-2012.)

The S&P-real average October level of 3,726 is now only 6% above the long-term trend line (Figure-2), almost on the mean trend level of 3,519.

In Figure-2 the current level of the S&P 500 relative to the long-term trend is indicated by the line parallel to the long-term trend line. Note that this relative level is now about the same as it was at the end of 2007 prior to the 55% decline of the S&P 500 to the March 2009 low. So it is possible for the S&P 500 to produce a similar decline from the current level.

### Forecasting stock market returns with the CAPE-MA35 Ratio

Also shown in Figure-1 are the CAPE-ratio (which is the S&P-real divided by the average of the real earnings over the preceding 10 years) and its 35-year moving average (MA35), having end of October 2022 values of 27.2 and 25.7, respectively. Thus the falling CAPE is 6% above its MA35 and the S&P-real has now sharply declined from where it was at the end of 2021.

As shown in the referenced article, a superior method to the standard use of the Shiller CAPE-ratio is to predict 10-year real returns using the CAPE-MA35 ratio as a valuation measure. It is simply the value of the Shiller CAPE-ratio divided by the corresponding value of its 35-year moving average (27.2 / 25.7 = 1.06).

Currently the CAPE-MA35 ratio of 1.06 forecasts a probable 10-year annualized real return of about 7.5% to end of October 2032. Based on the current S&P 500 value this would indicate an end of October 2032 value of 7,693 for S&P-real, with upper and lower confidence values of 8,650 and 6,830, respectively (Figures-2 & 3).

The forecast 10-year annualized real return of about 7.5% is based on regression analysis and may be optimistically high during periods of high inflation. Figure-4 shows inflation, the CAPE-MA35 ratio and realized 10-year annualized real returns from 1955 onwards. One observes that very low or negative 10-year forward annualized real returns followed the period with rising inflation and a falling CAPE-MA35 ratio, 1964-1973.

Figure-5 shows the historic forward 10-year annualized real returns when the CAPE was falling for CAPE-MA35 Ratios ranging from 0.3 to 2.0. For the current CAPE-MA35 Ratio of 1.06 the real returns ranged from -2% to 16%. One observes that once the CAPE-MA35 Ratio becomes less than 1.0 the forward real returns were all positive.

### Forecasting returns to 2032 with the long-term trend

When extending the best fit line and the prediction bands (Figure-2), then the S&P-real end of October 2032 value would be 6,684.

Thus the historic trend forecasts a probable total gain of about 79% (or an annualized return of 6.0%) for S&P-real from its end of October 2022 level of 3,726 to the end of October 2032 best fit level of 6,684.

### Conclusion

- The current level of the S&P 500 relative to the current long-term trend level indicates that stocks are moderately overvalued; and
- The current CAPE-MA35 ratio of 1.06 forecasts a relatively high 7.5% real 10-year forward return for the S&P 500, while the long-term trend indicates a forward return of 6.0%; and
- Current high inflation and a falling CAPE-MA35 ratio may indicate very low, or negative 10-year forward returns for equities, similar to what followed the period 1964-1973; and
- The current condition does not exclude the possibility of a major downturn for equities, but the expected 10-year forward returns look better now than for the past several years.

Updates of the estimated 10-year forward returns of the S&P 500 (Figure-3) are posted monthly at imarketsignals.com.

### Appendix

#### The best fit line and prediction band (re-calibrated to Sep-2022)

The best fit line and prediction band were calculated from monthly data from Jan-1871 to Sep-2022. This includes now an additional 10 years of data of the SP-real values for the period after July-2012, previously not included in the regression analysis.

The equation of the best fit line is *y = *10^{(ax+b)}^{ }

*y* = is the dependent variable of the best fit line.

*x* = are the number of months from January 1871 onward.

*a* =0.002321819

*b* = 2.133179076

*R*^{2}= 0.98

The parameters for the 95% prediction band lines are:

Upper: *a* = 0.002321819, *b* = 2.412217299

Lower: *a* = 0.002321819, *b* = 1.854140854

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