# Calculating the Intrinsic Value of the S&P 500

Calculating the Intrinsic Value of the S&P 500

``````Current insightful approaches for evaluating whether the S&P 500 is cheap or expensive include Professor Robert Shiller’s CAPE (cyclically adjusted price-earning) ratio and Warren Buffett’s ratio of market capitalization to GDP.   I suggest an additional approach - estimate the intrinsic value of the S&P 500 directly and use that in a comparison to the aggregate cost of buying each company, based on current stock prices.   It is almost axiomatic that the intrinsic value of the S&P 500 is the future shareholder distributions (dividends and stock buybacks) of all companies in the S&P 500, discounted to present value.

In valuing a business, I learned from the writings of Warren Buffett the importance of focusing on the business’s return on the capital that it has invested in its business and on the growth in this capital.  In fact, if return on capital and growth in capital are assumed, the value of the business is a math calculation for any given discount rate.[1]  This should apply also to the entire S&P 500.

I carried out this calculation in January 2023, with the assistance of the business data from my friends at FactSet, whose generosity made this work possible.  The graph below shows the calculated return on capital over the last ten years for the companies in the S&P 500, with adjustments to reflect the addition and removal of companies over the time period.
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Invested Capital and Return on Capital for S&P 500
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Data provided by FactSet. Invested capital (bars and left axis, in trillions); Return on capital (dots and right axis). Invested capital for a given year is the ending invested capital for the prior year. Return on capital is on a pre-tax basis.

``````This indicates that the S&P 500’s return on capital and growth in capital is remarkably consistent over the last ten years – quite different in this respect than almost all individual companies, in my experience.   The graph above represents the summing of the individual data for each component company.

Based on the above, the average pre-tax return on capital is 12.4% over the last ten years and 12.2% over the last five years.  I will use the latter.  The growth in capital over the last ten years is 5.1%.  Invested capital in total for the component companies is \$18.3 trillion.   This is based on company financial statements through 2021. Extrapolating a pre-tax return on capital of 12.2% and a growth in capital of 5.1% over 80 years, the intrinsic value of the S&P 500 is set forth in the chart below for various discount rates (more on discount rates later).  [2]

The last step is to compare the intrinsic value of the S&P 500 to the aggregate cost of buying each company, based on current stock prices.  The total cost of buying each company in the S&P 500 on January 20, 2023, based on closing stock prices and 2021 10-Ks, is \$43.5 trillion.  This includes \$36.7 trillion for stock, the payoff of \$7.9 trillion in loans and other liabilities and credit for \$1.1 trillion of certain cash held by the companies assumed to be free cash.  The S&P 500 closed on January 20 at 3972.61.
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The value ratio in the above chart compares the intrinsic value of the S&P 500 to the aggregate cost of buying each company in the S&P 500 by dividing the former into the latter. A value ratio of 1.0 indicates that the S&P 500 is fairly valued, a ratio substantially below 1.0 indicates that the S&P 500 is cheap, and a ratio substantially above 1.0 indicates that the S&P 500 is expensive.

These calculations indicate that the S&P 500 is fairly valued at a 6.8% discount rate, which suggests that going forward over the long run one might expect the S&P 500’s return to be substantially below its historic return but still perhaps better than what one might expect from many other diversified, widely available investments. If one uses Professor Aswath Damodaran’s equity risk premium, that would call for a discount rate of approximately 10% and indicate that the S&P 500 is substantially overvalued. In my opinion, the equity risk premium implicitly demands to a large extent that the S&P 500 perform as well in the future as it has performed in the past, and, as shown by the above value ratio of 2.5, under the assumptions outlined in this article, this expectation over the long run cannot be met.

My evaluation of the S&P 500’s invested capital used generally the approach illustrated in my book, One Model for Value Investment Calculations, with some deviations, relating mostly to certain component companies, particularly, for banks I used equity instead of invested capital, and for many REITS I reversed 40 – 65% of the depreciation expense. In the case of some of the companies that I am more familiar with, I reflected some adjustments in the evaluation, based of course on publicly available information. I am unfamiliar with many of the component companies.

1 This concept is widely illustrated, including in my book, One Model for Value Investment Calculations.
2 This assumes a corporate tax rate of 20% for the entire period. This also assumes that in year 80, the shares are sold at a PE of 15.

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We can’t see your graphs or calculations, but are you saying that the S&P is overvalued by a factor of 2.5?

Again, we can’t see your graphs, but are you saying that discounting the future payments (dividends and stock repurchases, plus terminal value) at a discount rate of 6.8% brings the present value of those payments back to today’s price? If so, then you are also saying that the forecasted, annualized total return is 6.8%, since only a discount rate equal to the total return will bring a future stream of payments back to today’s price. A 6.8% annualized total return over the next 80 years is a reasonable estimate. It is consistent with your estimate of 5.1% nominal growth, the current dividend yield and your assumption of a terminal P/E of 15.

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By the way, while I have no issue with using return on invested capital and the growth rate of invested capital for estimating the current valuation and the future return of the S&P, other methods are just as easy and just as accurate, especially given the extreme sensitivity of present value calculations to discount rate and assumed growth rate. John Bogle, for example, simply summed real, current GDP growth (2%), expected inflation (3%) and dividend yield (2%) to estimate a future, total annualized return of 7% total, before multiple expansion or contraction, which over 30 years might subtract 1.5 percentage points or so from the total annualized return.

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Picture is a thousand words

Shiiller PE camp: These guys are more doom and gloom and mean reversion.

Reality is that these S&P and Shiller PE index is not a good indicator of S&P performance. There are more blue lines than red lines. Always have, always will.

Dollar cost average. Sleep well. Enjoy life.