A simulation-based valuation of the S&P 500: February 2023

The figure below shows two simulation-based valuations of the S&P 500. They assume a fair price-to-earnings (PE) ratio for the S&P 500 that is the inverse of half of the 10-year U.S. Treasury yield. The price (at the top) is the most recent top value of the S&P 500.

The numbers on the left consider a more benign scenario: S&P 500 earnings in 2023 are up by 4.70% from the previous year, and the 10-year U.S. Treasury yield is at 3.73%. The numbers on the right refer to a less positive scenario: S&P 500 earnings are up by 4.70%, and the 10-year U.S. Treasury yield is at 4.30%.

The second scenario takes us to a fair price for the S&P 500 of 2,537.50, which is 47.34% down from the most recent high. The video linked below discusses these simulations, some of the most recent values for the simulation inputs, and a few other things.

A simulation-based valuation of the S&P 500: January 2023

The figure below shows two simulation-based valuations of the S&P 500. They assume a fair price-to-earnings (PE) ratio for the S&P 500 that is the inverse of half of the 10-year U.S. Treasury yield. The price (at the top) is the most recent top value of the S&P 500.

The numbers on the left consider a rather benign scenario: S&P 500 earnings in 2023 are up by 4.70% from the previous year, and the 10-year U.S. Treasury yield is at 3.49%. The numbers on the right refer to a more likely scenario: S&P 500 earnings are up by 4.70%, and the 10-year U.S. Treasury yield is at 4.22%.

The second scenario takes us to a fair price for the S&P 500 of 2,667.12, which is 44.65% down from the most recent high. The video linked below discusses these simulations, some of the most recent values for the simulation inputs, and a few other options.

A simulation-based valuation of the S&P 500: December 2022

The figure below shows two simulation-based valuations of the S&P 500. They assume a fair price-to-earnings (PE) ratio for the S&P 500 that is the inverse of half of the 10-year U.S. Treasury yield. The price (at the top) is the most recent top value of the S&P 500.

The numbers on the left consider a rather benign scenario: S&P 500 earnings in 2022 are up by 5.60% from the previous year, and the 10-year U.S. Treasury yield is at 3.75%. The numbers on the right refer to a more likely scenario: S&P 500 earnings are up by 3.10%, and the 10-year U.S. Treasury yield is at 4.00%.

The second scenario takes us to a fair price for the S&P 500 of 2,644.39, which is 45.12% down from the most recent high. The video linked below discusses these simulations, some of the most recent values for the simulation inputs, and a few other options.

Do equity indices bottom before recessions?

An interesting debate taking place right now (November 2022) relates to whether the equities market has already priced in a recession, and is now moving up into what could be a new bull market. This could mean that the forward-looking equities market, represented by equity indices (e.g., Wilshire 5000, S&P 500), has bottomed before a recession.

I have conducted a rather extensive review of various equity indices to see if there is a historical precedent, prior to November 2022, for an index that has bottomed before a recession. I could not find any. The figure below (source: Federal Reserve Bank of St. Louis) shows the Wilshire 5000, which covers all American stocks.

The figure shows two areas where the index bottomed after a recession and during a recession. These are only illustrations of a broader pattern - I could find no instance in which a bottom occurred before a recession, in any index (including the S&P 500). So, do equity indices bottom before recessions? Apparently not. The video linked below discusses this and other cases in more detail.

A simulation-based valuation of the S&P 500: October 2022

The figure below shows two simulation-based valuations of the S&P 500. They assume a fair price-to-earnings (PE) ratio for the S&P 500 that is the inverse of half of the 10-year U.S. Treasury yield. The price (at the top) is the most recent top value of the S&P 500.

The numbers on the left consider a rather benign scenario: S&P 500 earnings in 2022 are up by 10% from the previous year, and the 10-year U.S. Treasury yield is at 3.00%. The numbers on the right refer to a more likely scenario: S&P 500 earnings are up by 5%, and the 10-year U.S. Treasury yield is at 4.00%.

The second scenario takes us to a fair price for the S&P 500 of 2,693.12, which is 44.11% down from the most recent high. The video linked below discusses these simulations, some of the most recent values for the simulation inputs, and a few other options.

A simulation-based valuation of the S&P 500: August 2022

A simulation-based valuation of the S&P 500: July 2022

The figure below shows two simulation-based valuations of the S&P 500. They assume a fair price-to-earnings (PE) ratio for the S&P 500 that is the inverse of half of the 10-year U.S. Treasury yield. The price (at the top) is the most recent top value of the S&P 500.

The numbers on the left consider a rather benign scenario: S&P 500 earnings in 2022 are up by 10% from the previous year, and the 10-year U.S. Treasury yield is at 2.50%. The numbers on the right refer to a more likely scenario: S&P 500 earnings are down by 10%, and the 10-year U.S. Treasury yield is at 3.50%.

The second scenario takes us to a fair price for the S&P 500 of 2,638.16, which is 45.25% down from the most recent high. A sobering thought, given the rally that we are in right now, which many believe to be nothing more than another bear market rally.