Economic Book Value: An Estimate of a Stock’s Intrinsic Value

Superficially, a valuation methodology exists to help an investor estimate, within a reasonable range, how much something is worth. Investing, however, is not merely an intellectual exercise. The fundamental problem that an investor faces is that, while it is absolutely essential to invest in order to grow one’s wealth, the nature of risk is such that investing is more likely to destroy wealth than create it. This tendency toward wealth destruction is what Daniel Bernoulli called, “nature’s admonishment to avoid the dice”. The true purpose of a valuation methodology is to guide the investor toward those investment opportunities that offer returns greater than those earned by the market, while not exposing one to the risks of wealth destruction. The following valuation methodology, grounded upon a series of accounting adjustments I make, represents my process for estimating the intrinsic value of a business, or what I, following New Constructs, call its “economic book value”.

Principles and Definitions

An investor is, before anything, a reader in search of truth, a probabilistic truth scattered across the pages of periodic reports. Benjamin Graham and David Dodd summed up the investor’s mission thus:

In all of these instances he appears to be concerned with the intrinsic value of the security and more particularly with the discovery of discrepancies between the intrinsic value and the market price.

Security Analysis, by Benjamin Graham and David Dodd

The question remains, what is intrinsic value? Perhaps the best definition of intrinsic value is one proffered by Jesse Livermore of the perceptive Philosophical Economics blog, where he says, “The ‘intrinsic value’ of a security is the maximum price that an investor would be willing to pay to own the security if he could not ever sell it”. In other words, it is the maximum economic benefit if a shareholder was forced to hold a stock for the remainder of its life, and so, mathematically, it is equivalent to the present value of the cash that can be taken out of a business during the remainder of its life. It is noteworthy that John Burr Williams opened his ground-breaking, The Theory of Investment Value, with the words, “Separate and distinct things not to be confused, as every thoughtful investor knows, are real worth and market price…”, and went on to show that the “real worth” of a business could be determined by an “evaluation by the rule of present worth”. Consequently, a business’ intrinsic value is equal to the present value of its future net cash flows. 

Since 1890, when Alfred Marshall published his Principles of Economics, we have known that the value, or economic benefit that arises from owning a business, is created when that business grows its revenue, and earns a return on invested capital (ROIC) in excess of the opportunity cost, or what standard financial theory now calls the “weighted average cost of capital” (WACC). This is equivalent to the following value driver formula:

Value = [NOPAT(1-g/ROIC)]/(WACC – g)

Here, NOPAT refers to net operating profit after taxes, or the profits that a business’ core operations earn after cash operating taxes have been paid; g refers to growth; ROIC to NOPAT/Invested Capital, where invested capital refers to the cumulative investments into a business; and WACC refers to the economic benefit that could be gained from investing in a similarly risky investment opportunity. 

In practice, one does not use the aforementioned value driver formula given its assumption of constant growth ROIC for the remainder of a security’s life, but it is useful for showing how the value drivers relate. For a single period, value creation can be measured using economic profit, which is ROIC in excess of WACC, scaled by invested capital:

Economic Profit = Invested Capital x (ROIC – WACC)

Discounting a company’s future economic profits and adding that to its starting invested capital, provides one with an estimate of value:

Value = Starting Invested Capital + PV(Projected Economic Profit)

This approach is mathematically equivalent to the discounted cash flow (DCF) valuation. 

Value can also be estimated using the cash-flow perpetuity formula, which assumes a constant growth rate, such that,

Value = FCF/(WACC – g)

Here, FCF refers to free cash flow, that is, the cash flows generated by a business’ core operations, after paying for incremental investments, or increase in invested capital.

FCF = NOPAT – Incremental Investment

The value principle comes with a corollary, what Richard Brealey, Stewart Myers, and Franklin Allen, in their textbook, Principles of Corporate Finance, refer to as the law of conservation of value: any activity that does not increase cash flows does not create value. One early application of this principle is the work of Merton Miller and Franco Modigliani, who showed that a business’ capital structure is irrelevant to its value, unless that capital structure changes the business’ cash flows. 

Since 1890, we have also known that, over the long run, returns are driven down toward WACC, as a result of a gravitational pull of competition. The period in which a business can earn an economic profit is referred to as the “competitive advantage period”, or “growth appreciation period”. That period’s duration is highly dependent on the ferocity of competition within an industry. In highly competitive industries, value creation is fleeting, and in oligopolistic and monopolistic market structures, value creation is enduring. In Edward Chancellor’s examination of Marathon Asset Management’s capital cycle framework, Capital Returns, he explains the resulting ebbs and flows of capital thus, 

Typically, capital is attracted into high-return businesses and leaves when returns fall below WACC. This process is not static, but cyclical – there is constant flux. The inflow of capital leads to new investment, which over time increases capacity in the sector and eventually pushes down returns. Conversely, when returns are low, capital exits and capacity is reduced; over time, then, profitability recovers. From the perspective of the wider economy, this cycle resembles Schumpeter’s process of “creative destruction” – as the function of the bust, which follows the boom, is to clear away the misallocation of capital that has occurred during the upswing.

This insight by Marathon has been given the imprimatur of academic backing, by way of the asset growth effect. In their paper, “Asset Growth and the Cross-Section of Stock Returns,” economists, Michael Cooper, Huseyin Gulen, and Michael Schill, found that a business’ asset growth is more predictive of its future abnormal returns than traditional value, size and momentum. Returning to the key value driver formula, it can be restated to reflect the corrosive impact of competition. The convergence formula reflects that return on net new investment will converge over time on the WACC, as a business’ competitive advantages are ground down by competition:

Continuing Value = NOPAT/WACC

Here, while a firm may grow, that growth does not result in any value creation whatsoever, as the return on new investment capital (RONIC) equals the opportunity cost. This leads to my measure of intrinsic value, which New Constructs refers to as “economic book value” and which has also been referred to as “pre-strategy value” because it is the perpetuity value of the business before management crafts a strategy to enhance that value:

Economic Book Value = (NOPAT/WACC) – Adjusted total debt (including off-balance sheet debt)  + Excess cash  + Unconsolidated Subsidiary Assets  + Net Assets from Discontinued operations  – Value of Outstanding Employee stock option liabilities  – Under (Over) funded Pensions  – Preferred stock  – Minority interests  + Net deferred compensation assets  + Net deferred tax assets

In order to do all this, the investor must make a series of accounting adjustments that uncover the true economics of a business.

Step 1: Turn Accounting Statements Into Economic Statements

Annual reports are not merely long, and complex, with often abstruse language that seems calculated to befuddle the reader, they are also structured in ways that unintentionally disguise operating performance. To start with, financial statements are not designed to be particularly helpful for an investor seeking to understand the operating performance and value of a business. This is because they mix together core and ancillary business activities and transitory shocks. Income statements commingle operating income with interest expense and other non-core, non-recurring items; balance sheets mush together operating assets, non-operating assets and sources of financing; and cash flow statements blend operating cash flow with investing and financing cash flow. A trivial example from Meta Platform’s income statement from its 2023 10-K will serve as an example of this unhelpful structure:

“Interest and other income (expense), net”, are very obviously not part of Meta’s core business activities. This is, as I suggested, is a fairly trivial example, and “income from operations” is a deeply flawed attempt at estimating pre-tax core earnings. An added difficulty is that the elements we need to determine the operating performance of a business are not simply on the face of the financial statement, but they are sprinkled across the annual report, in the MD&A, the footnotes and notes. Moreover, managers are given enormous discretion in classifying items and how they can present disclosures. Further complications are that judgement must be exercised to determine a disclosure’s impact on operating performance and to place each disclosure in the proper economic category. 

Therefore, in order to analyse the operating performance of a business, a rather mundane and yet very important task must be undertaken: the operating, non-operating and sources of financing items of each financial statement must be properly classified, not only on the face of these financial statements, but in the MD&A, the footnotes and notes.

In addition, the auditor’s report is sometimes a source of information about the quality of a firm’s earnings. For instance, in its 2023 annual report, Meta’s auditors, Ernst & Young (EY), pointed to the difficulty in estimating loss contingencies, and “more-likely-than-not to be sustained” federal tax liabilities, interest and penalties sought by the Internal Revenue Service (IRS), and measuring qualifying tax benefits. Such matters usually demand of the reader an analysis of whether existing policies are conservative, and to note any changes in policy and their impact on earnings.

1.1 Create a NOPAT Statement

In their wonderful paper, “Core Earnings: New data and Evidence”, researchers Ethan Rouen, Eric C. So, and Charles C.Y. Wang, present an accurate, rigorous, replicable, and transparent way to estimate core earnings. Their paper is based on an analysis of the remarkable work by financial research firm, New Constructs, who use artificial intelligence and human analysts, to analyse thousands of 10-Ks, and classifies all earnings related quantitative disclosures into their appropriate economic category. At the time the paper was published, New Constructs analysed 60,000 10-Ks, between 1998 and 2017. One of the great achievements of this remarkable paper is that it presents an accurate, rigorous, replicable, and transparent approach to estimating core earnings, while also showing that there is enormous alpha to be gained from having an accurate measure of core earnings. It is that methodology that I use. 

In order to get a sense of the recurring and repeatable profitability of the core business, I calculate its NOPAT. NOPAT excludes income from ancillary business activities and transitory shocks, is independent of a company’s capital structure, and is available not just to shareholders, as with GAAP net income, but to all capital providers. NOPAT must be defined in a way that is consistent with one’s definition of invested capital, so that NOPAT is entirely earned from invested capital. 

This approach uses the same economic categories detailed in New Constructs’ work and Rouen, So and Wang’s paper, with input from that great textbook, Valuation, by Tim Koller et al. A great deal of judgement is involved in placing all the quantitative items into the correct economic adjustment category, as well as the patience to go through an entire annual report, to find both hidden and reported items. By “hidden” is meant those items that are off the face of the income statement, either because they are located in the MD&A or footnotes, or commingled within a reported item; whereas, by “reported” is meant those items that are on the face of the income statement. I calculate NOPAT from both an operating and financing perspective, which are mathematically equivalent, but for the sake of simplicity, below I will only present a detailed reconciliation of Meta’s 2022 GAAP net income with NOPAT, which shows the various adjustments that I make in order to calculate NOPAT, and which are added back to the firm’s GAAP net income.

Adjustments to convert reported GAAP income to NOPAT: 

  1. Remove asset write-downs hidden in operating expenses 
  2. Remove non-operating expenses hidden in operating earnings 
  3. Remove non-operating income hidden in operating earnings 
  4. Add back change in reserves 
  5. Remove income and loss from discontinued operations (except for REITs) 
  6. Add back implied interest for the present value of operating, variable and not-yet commenced leases
  7. Add back foreign currency exchange losses and gains
  8. Adjust for pension plan costs
  9. Adjust for non-operating tax expenses
  10. Historical Adjustments: Add back goodwill amortisation and include employee stock option expense prior to accounting changes 
  11. Remove reported non-operating items

An example of this is shown below, where I have estimated Meta’s NOPAT for the period 2011 to the last twelve months ending 1Q 2024:

1.2 Create an Invested Capital Statement

Invested capital is the accumulation of investments that have been made into a business’ core operations, in order to earn NOPAT. As with NOPAT, I calculate invested capital from both an operating and financing perspective, but for the sake of simplicity, the adjustments I make will be used to show a detailed reconciliation of Meta Platforms’ total assets to its invested capital. In the abstract, the adjustments to convert reported assets to invested capital are the following: 

  1. Add back off-balance sheet reserves 
  2. Add back off-balance sheet debt due to operating, variable and not-yet commenced leases 
  3. Remove discontinued operations 
  4. Remove accumulated Other Comprehensive Income 
  5. Add back asset write-downs 
  6. Remove deferred compensation assets and liabilities 
  7. Remove deferred tax assets and liabilities 
  8. Remove under or over funded pensions 
  9. Remove excess cash 
  10. Prior to 2002: Add back unrecorded and accumulated goodwill 
  11. Time-weight acquisitions 
  12. Remove non-operating unconsolidated subsidiaries 

Applying this to Meta Platform’s balance sheet gives the following estimate of invested capital for the period 2011 to the LTM:

1.21 Calculate ROIC

With NOPAT and invested capital calculated, calculating ROIC is a trivial affair, simply a matter of dividing NOPAT by average invested capital, which averages invested capital from the beginning and end of the year while also adjusting for the impact of acquisitions during the year. ROIC uncovers the true economics of the company, matching cash returns from cash cumulative investments.

1.22 Calculate Free Cash Flow (FCF) and FCF Yield

FCF, the amount of cash available for distribution to all investors, is the dividend that a company could pay and reflects the profitability of the business. Having already given the formula for FCF in the "Principles and Definitions" section, below is a demonstration of what such a calculation looks like:

FCF Yields are assigned a risk/reward rating using the following classification:

Step 2: Calculate WACC

Next, I calculate the weighted average cost of capital (WACC). WACC is composed to two primary elements: the cost of equity and the cost of debt. I calculate the cost of equity using the capital asset pricing model (CAPM), with beta, its weakest and most controversial component, calculated to express the risk of the stock’s excess returns being lower than that of the market’s in a down market. This is known as D-CAPM. I normalize beta to reduce its impact on my calculations of WACC. For the United States, I use 30-year Treasuries as my risk-free rate. The cost of debt is calculated with the 30-year Treasury bond rate as the risk-free rate added to a spread based on that company’s credit rating, to get the marginal cost of debt. Market values are used, when available, to weight the costs of equity and debt, although, generally, debt values are book values and equity values are market values. 

Step 3: Calculate Economic Profit

Economic profit, as already defined above, is "ROIC in excess of WACC, scaled by invested capital":

Economic Profit = Invested Capital x (ROIC - WACC)

There is a strong correlation between economic profits and market valuation, with a regression by New Constructs of the S&P 500 component companies economic profit and market valuations giving an R2 of 0.66854, meaning that 66.854% of market values are explained by economic profits. New Constructs further explained that, "Note that the above regression analysis is based on the 489 companies in the S&P 500 that we cover except for Lorillard (LO). Because of its super high ROIC, including LO in the regression drives the r-squared up to 94%."

The goal of a rationally run business is to create value, which means earning as much economic profit as is possible. It is not surprising that markets reward businesses who achieve this goal. The difficulty is in having the expertise and diligence to make the accounting adjustments necessary to know what a business' true profitability is.

Step 4: Estimate Economic Book Value

Information from the first step will be brought to bear in this stage, to arrive at an estimate of intrinsic value, using economic book value as a measure of the maximum economic benefit that can be derived, based upon proven results, rather than on any attempts at forecasting how management can or will enhance value. The adjustments for economic book value, and indeed, for my discounted cash flow model, enterprise value calculations, are the following:

  1. Employee stock option liabilities 
  2. Preferred stock 
  3. Non-controlling interests 
  4. Adjusted total debt (including off-balance sheet debt) 
  5. Pension net funded status 
  6. Net deferred tax assets or liabilities 
  7. Net deferred compensation assets or liabilities 
  8. Discontinued operations 
  9. Excess cash 
  10. Unconsolidated Subsidiaries 

Below follows an estimate of Meta’s economic book value:

The subsequent PEBV ratios can be assessed with the risk/reward system below:

The Weighted Average Cost of Capital (WACC)

An investment is a choice to foregore present consumption in favour of future consumption, in exchange for which the investor is given a return which can simply be referred to as “interest”. The interest promised to the investor is either contractually defined, and capped, as with bonds, or, is uncertain and uncapped, as with equities, or some blend of both. By deferring present consumption and investing, investors stake a claim to a financial asset’s defined and capped or undefined and uncapped future cash flows, the net present value of which are estimated by discounting them at the prospective “interest rate”, or cost of capital. The weighted average cost of capital (WACC), first proposed by Franco Modigliani and Merton H. Miller in their paper, “The Cost of Capital, Corporation Finance and the Theory of Investment”, blends the interest rates promised to a firm’s differing sources of capital into a single number. Or, more properly, WACC blends a real cost, the cost of debt, and an expected return, that of equity, into a single number. Properly calculated, free cash flows (FCF) discounted by WACC will return the same value as equity cash flows discounted by the required return on equity. WACC allows one to properly value a firm’s future cash flows based on the differing interest rates its sources of capital require, whether they are certain claimants, its debt investors, or residual claimants, its equity investors, or some hybrid of the two. It is against this number that firms weigh, or should weigh their returns on invested capital (ROIC) to determine if they are creating value. 

WACC is estimated by assessing the opportunity cost that investors bear when they invest. Given two equally risky propositions, an investor will “lend” their savings to that risky proposition that offers the highest rate of return. When one invests with a firm, that firm uses that capital to earn a greater rate of return, ROIC, than the rate of return the investor could get in a similarly risky investment. A firm with a ROIC of 15% at a time when investors could earn 8% in similarly risky propositions, creates value for its investors, because that means that their claim to future cash flows are either more certain, or larger.

WACC is composed of three elements: the cost of equity, the after-tax cost of debt, and the firm’s target capital structure. The formula I generally use to estimate WACC is given below, a formula that grows more complex the more complex the firm’s capital structure and simpler the simpler the firm’s capital structure:

WACC = (D/V)kd(1-Tm) + (E/V)ke + (P/V)kp

where

  • D/V = target level of debt to value using market-based values
  • E/V = target level of equity to value using market-based values
  • kd = cost of debt
  • ke = cost of equity
  • Kp = cost of preferred capital
  • Tm = company’s marginal tax rate on income

I estimate the cost of equity using the capital asset pricing model (CAPM), with an important adjustment to reflect my views on risk. Eugene Fama and Kenneth French’s three-factor and five-factor models and other factor models are more accurate than standard CAPM, but one buys accuracy along with almost unmanageable complexity. Beta is the critical factor in CAPM, and measures a stock’s sensitivity to changes in a benchmark index, which serves as a proxy for the market. in the United States, I use the S&P 500 as the market proxy. Under CAPM, the expected return on a security is calculated as below:

Expected return = Risk-free rate + β(Market return – Risk-free rate) 

where “β”, is, of course, beta, which measures firm-specific risk and can, because it is “unsystematic”, be reduced through portfolio diversification, and “Market return – Risk free rate” is the equity risk premium (ERP), the difference between the market’s expected return for the market and the risk-free rate and captures “systematic risk,” or that risk that cannot be diversified away. I use the yield on 30-year Treasuries as a proxy for the risk-free rate.

Of expected return, I cannot resists recalling an anecdote by Merton Miller,

I still remember the teasing we financial economists, Harry Markowitz, William Sharpe, and I, had to put up with from the physicists and chemists in Stockholm when we conceded that the basic unit of our research, the expected rate of return, was not actually observable. I tried to tease back by reminding them of their neutrino –a particle with no mass whose presence was inferred only as a missing residual from the interactions of other particles. But that was eight years ago. In the meantime, the neutrino has been detected.

Not only is the expected return not observable, the literature tends to conflate historical, expected, required and implied ERPs. The historical ERP (HEP) is the most objective, but it tells us little about the size of the premium in future, although even here there are differences in calculations and benchmarks that lead to different HEPs. I calculate the HEP by subtracting the average geometric return for the S&P 500 from the average geometric return for 30-year Treasuries (DGS30), for the 1977 to 2023 period, and then adjusting the figure downwards for survivorship bias, by the 0.8% excess returns by which Dimson, Marsh and Staunton found the U.S. markets had exceeded a 17-country composite return.

Is this the same as what I expect the premium to be? No, as I have discussed, I anticipate that this decade will see average S&P 500 returns of just over 1%, meaning my expected risk premium (EEP) is negative, but this is not the market's EEP. Moreover, I do not think there is a single and unique implied equity risk premium (IEP) or required risk premium (REP): these are subject values. In effect, I treat the HEP as my REP.

In his pathbreaking paper, "Portfolio Selection", Harry Markowitz equated risk with “volatility of returns” and this broad view of risk forms part of modern portfolio theory. Markowtiz proposed that investors maximise a utility function that matched expected returns, the arithmetic average of available returns, with their associated volatility. Under this model, investors seek to reduce their volatility for a given return or increase their returns for a given level of volatility. The trouble with his model was and has always been clear to Markowitz: this broad view of risk runs counter to one's intuition and ideas of risk, as I have explained before:

Since Harry Markowitz’s seminal 1952 paper, “Portfolio Selection”, it is generally accepted that risk is best measured in terms of a “volatility of returns”, in other words, the upward and downward swings in prices. Under this measure, if one expects a return of 10% from an investment, both the chance that the return will be lower, or higher than that expected return, are classed as risk! Few investors and managers, if any, would accept this view. Just eighteen years after Markowitz’ paper, one survey found that, across eight industries, most managers said they believed that semivariance, a measure of “downside risk”, was a more plausible measure of risk than variance. Decades later, that unease with theory remains. This notion of risk clearly goes against our intuition. One does not say, “There is a risk I will make a return greater than expected on this investment”. This notion of risk is also self-contradictory: it would seem perverse to imagine as rational behaviour a situation in which a person sought to limit all their risk, that is, both downside and “upside” risk. Defenders of the position would claim that when they refer to risk, they are of course referring to downside risk, which begs the question why the scope of this definition of “risk” allows for “upside risk” to be defined as such. It is not a merely academic argument: investors and managers make decisions based on risk measures that imply this very logic. It seems evident that whereas a person would want to limit their downside risk, they would be happy to have their profits run far in excess of what they expected. 

Markowitz himself observed in his similarly titled tome, that his earlier use of variance as opposed to semi-variance, a measure of downside risk, was due to a lack of computing power and the greater familiarity that practitioners had with variance as opposed to semi-variance. Not only is "upside risk" not a risk, but, Markowitz observed that the use of variance assumes that returns are normally distributed. The great man was aware of the inherent absurdity of so catholic a notion of risk, saying that semi-variance was a “more plausible measure of risk” and that, “the semideviation produces efficient portfolios somewhat preferable to those of the standard deviation” . About the same time, A.D. Roy, in his paper, "Safety First and the Holding of Assets", noted that an investor is not interested in what happens on average, but will happen in a particular instance, and that the maximisation of expected value is incompatible with diversification. Roy criticised economic theory as being “set against a background of ease and safety”, rather than “poorly chartered waters” or hostile jungles, assumes “economic survival”, and thus being incapable of understanding why investors act as if they see disaster everywhere. Consequently, he modelled downside risk, or mean semivariance, because he felt that investors are driven by a “safety first” logic. Nevertheless, it was only in the 1980s, when post-modern portfolio theory was delivered by Frank Sortino and others, that a more myopic view of risk became the foundation of an alternative way of forming portfolios.

To conform with my myopic view of risk, I calculate downside beta as the sensitivity of a stock's excess logarithmic returns to the market's downside excess returns, where "excess return" is the difference between the stock or market return and the returns on the risk-free security. This is known as the D-CAPM approach. I use industry and sector averages based on five years of weekly prices, in order to minimise the impact of beta on my cost of equity measure. An example of this can be seen in this spreadsheet.

To estimate the cost of debt for firms, I use 30-year Treasuries as the risk-free rate, in conformity with prior remarks, and where that is unavailable, the 20-year rate. To that, I add the debt spread associated with its debt rating, per Moody's or S&P, on its long-term debt. This pre-tax cost of debt is then multiplied by (1-Tm) to get the after-tax cost of debt.

The cost of preferred stock is simply the preferred dividends divided by the value of preferred capital.

Regarding the target capital structure, I tend to use historical values rather than try and presume to know what managers will do. This is because firms tend to be very conservative about changing capital structures.

Diamond Hill's' WACC, for the period 2019 to the last twelve months (LTM) ending 2Q 2024, as I estimate it, is given below:

Free Cash Flow (FCF) and FCF Yield

Free cash flow (FCF) is the cash that is available to all investors, whether debt holders or shareholders, after taxes have been paid. This is the after-tax cash flow that would be earned if a business was entirely equity financed. Consequently, it is not only free from non-operating items, but from items related to capital structure as well. When John Burr Williams developed the theory of DCF analysis in his ground-breaking book, The Theory of Investment Value, he assumed that intrinsic value was a function of dividend flows and selling price, and that under certainty, the value of a business was the sum of its future dividends. (This idea would lead to Myron J. Gordon’s dividend discount model.) Therefore, one can view FCF as what a company could pay in the form of dividends. It can be defined as,

FCF = NOPAT – Change in Invested Capital

where change in invested capital is

Change in Invested Capital = Change in Net Working Capital + Change in Total Adjusted Fixed Assets

The level of available FCF must be assessed against the growth opportunities available for the business, in order to make a definitive determination about the quality of that FCF.

Below is my calculation of Diamond Hill’s FCF for the period 2019 to the last twelve months (LTM) ending 2Q 2024:

If the purpose of an investor is to buy assets whose price implies low expectations and sell those assets whose price implies high expectations, then the question one should ask here is, “What are the market’s FCF expectations?” This cab be ascertained by calculating the FCF yield:

FCF Yield = FCF/Enterprise Value

Where enterprise value is the value of a business for all its sources of financing. The FCF Yield is ranked according to the risk/reward rating below:

Invested Capital

Annual reports are not merely long, and complex, with often abstruse language that seems calculated to befuddle the reader, they are also structured in ways that unintentionally disguise operating performance. To start with, financial statements are not designed to be particularly helpful for an investor seeking to understand the operating performance and value of a business. This is because they mix together core and ancillary business activities and transitory shocks. Income statements commingle operating income with interest expense and other non-core, non-recurring items; balance sheets mush together operating assets, non-operating assets and sources of financing; and cash flow statements blend operating cash flow with investing and financing cash flow.

“Net Operating Profit After Tax (NOPAT)”, by Joseph Noko

Invested capital is the accumulation of investments that have been made into a business’ core operations, in order to earn NOPAT. As with NOPAT, I calculate invested capital from both an operating and financing perspective, the results of which should be the same. From a financing perspective,

Invested Capital = Total debt & leases + Equity Equivalents + Common Equity

where,

Total debt & leases = Short-term debt + long-term debt + operating, variable and not-yet commenced leases

From an operating perspective,

Invested Capital = Net Working Capital + Total Adjusted Fixed Assets

where,

Net Working Capital = Operating Current Assets – Non Interest-Bearing Current Liabilities

and,

Total Adjusted Fixed Assets = Tangible Assets + Intangible Assets + Other Assets

I make a number of adjustments to strip away the impact of non-recurring and non-core items in order to unearth the true economics of a business. An example of what that looks is given in the tables below, with Diamond Hill as my subject.

Firstly, I calculate Diamond Hill’s invested capital from an operating perspective, for the years 2019 to the last twelve months (LTM) ending 2Q 2024:

This can be reconciled with the firm's total assets, as shown below:

The virtue of this approach is that it gives me an insight into the true economics of a business while being replicable, scalable and transparent.

Net Operating Profit After Tax (NOPAT)

Annual reports are not merely long, and complex, with often abstruse language that seems calculated to befuddle the reader, they are also structured in ways that unintentionally disguise operating performance. To start with, financial statements are not designed to be particularly helpful for an investor seeking to understand the operating performance and value of a business. This is because they mix together core and ancillary business activities and transitory shocks. Income statements commingle operating income with interest expense and other non-core, non-recurring items; balance sheets mush together operating assets, non-operating assets and sources of financing; and cash flow statements blend operating cash flow with investing and financing cash flow.

An added difficulty is that the elements we need to determine the operating performance of a business are not simply on the face of the financial statement, but they are sprinkled across the annual report, in the MD&A, the footnotes and notes. Moreover, managers are given enormous discretion in classifying items and how they can present disclosures. Further complications are that judgement must be exercised to determine a disclosure’s impact on operating performance and to place each disclosure in the proper economic category.

Therefore, in order to analyse the operating performance of a business, a rather mundane and yet very important task must be undertaken: the operating, non-operating and sources of financing items of each financial statement must be properly classified, not only on the face of these financial statements, but in the MD&A, the footnotes and notes. In doing so, I make a series of adjustments to convert the income, and balance sheets into net operating profit after tax (NOPAT), invested capital and free cash flow (FCF) statements that reveal the true economics of a business. 

In their wonderful paper, “Core Earnings: New data and Evidence”, researchers Ethan Rouen, Eric C. So, and Charles C.Y. Wang, present an accurate, rigorous, replicable, and transparent way to estimate core earnings. Their paper is based on an analysis of the remarkable work by financial research firm, New Constructs, who use artificial intelligence and human analysts, to analyse thousands of 10-Ks, and classifies all earnings related quantitative disclosures into their appropriate economic category. At the time the paper was published, New Constructs analysed 60,000 10-Ks, between 1998 and 2017. One of the great achievements of this remarkable paper is that it presents an accurate, rigorous, replicable, and transparent approach to estimating core earnings, while also showing that there is enormous alpha to be gained from having an accurate measure of core earnings. It is that methodology that I use. 

In order to get a sense of the recurring and repeatable profitability of the core business, I calculate its NOPAT. NOPAT excludes income from ancillary business activities and transitory shocks, is independent of a company’s capital structure, and is available not just to shareholders, as with GAAP net income, but to all capital providers. NOPAT must be defined in a way that is consistent with one’s definition of invested capital, so that NOPAT is entirely earned from invested capital. 

This approach uses the same economic categories detailed in New Constructs’ work and Rouen, So and Wang’s paper, with input from that great textbook, Valuation, by Tim Koller et al. A great deal of judgement is involved in placing all the quantitative items into the correct economic adjustment category, as well as the patience to go through an entire annual report, to find both hidden and reported items. By “hidden” is meant those items that are off the face of the income statement, either because they are located in the MD&A or footnotes, or commingled within a reported item; whereas, by “reported” is meant those items that are on the face of the income statement.

I calculate NOPAT from both an operating and financing perspective, which are mathematically equivalent. From a financing perspective,

GAAP Net Income
+ Adj. for Capitalized Expenses
+ Increase in Equity Equivalents
– Other Income
+ Other Expenses
– Hidden Items
+ Interest Expense After Taxes
= NOPAT

Whereas, from an operating perspective,

Operating Revenue
– Operating Expenses
– Hidden Items
= Earnings Before Interest and Taxes (EBIT)
+ Goodwill Amortization
= Earnings Before Interest, Taxes and Amortisation (EBITA)
+ Adj. for Capitalized Expenses
+ Income Equivalents
= Net Operating Profit Before Tax (NOPBT)
Cash Operating Taxes
= NOPAT

An example of the fruits of this procedure is given below, where I first estimate Diamond Hill’s NOPAT from an operating perspective, for the years 2019 to the last twelve months (LTM), ending 2Q 2024:

This can be reconciled with the firm's GAAP net income, as shown below:

Unconsolidated Subsidiary Assets, a Valuation Adjustment

Unconsolidated subsidiaries, also referred to as investments in associates, investments in affiliated companies, and equity investments, are businesses wherein a firm has a significant stake that falls short of control, which equates to a 20% to 50% stake, and as such, they come under equity method accounting.

“Non-Operating Unconsolidated Subsidiaries, an Invested Capital Adjustment”, Joseph Noko

Where the unconsolidated subsidiary’s income is disclosed, I consider that income as operating and add it to my calculation of the parent company’s NOPAT, and invested capital and where it is not, I consider it as non-operating and it does not form part of my calculation of NOPAT, given the figures are undisclosed, and invested capital, and is added to my calculation of economic book value (EBV), just as if it were excess cash

Excess Cash, a Valuation Adjustment

Firms use a portion of their cash and cash equivalents and investments as operating cash for the running of the business, and any cash beyond this amount is excess cash and a non-operating asset. As a rule of thumb, I assume that operating cash is equal to 5% of revenue, increasing or decreasing this requirement according to the firm’s operating profitability. Excess cash grants firms optionality, and protection against crisis, and, compounds as a consequence of a firm’s profitability.

“Excess Cash, an Invested Capital Adjustment”, Joseph Noko

As excess cash is not needed for operations, it can be distributed to shareholders, and so, I add it to my calculation of economic book value (EBV). In 2023, Meta Platforms had $61.48 billion in excess cash, which I added to my calculation of its EBV. 

Discontinued Operations, a Valuation Adjustment

The logic of discontinued operations is that they are not a component of core operations and therefore, not only do their earnings not belong in a calculation of net operating profit after tax (NOPAT), they also do not belong in a calculation of the invested capital that generates NOPAT. So, I banish them from my calculation of invested capital.

“Discontinued Operations, an Invested Capital Adjustment”, Joseph Noko

When it comes to estimating economic book value (EBV), one can say that the logic of discontinued operations is that, if businesses are held for sale, the cash earned from that sale is cash that enriches shareholder value. Therefore, it makes sense to add the net assets of discontinued operations to EBV. 

Deferred Compensation Assets and Liabilities, a Valuation Adjustment

Deferred compensation is that portion of employee compensation that has been set aside for future payment. Firms create plans to manage the assets that will be used to settle these liabilities. Consequently, deferred compensation assets are a non-operating liability, which is to say that they are not part of the invested capital that is used to earn net operating profit after tax (NOPAT) for shareholders. 

“Deferred Compensation Assets, an Invested Capital Adjustment”, Joseph Noko

Although deferred compensation agreements create a liability for a business, that business may not match that liability with requisite assets. Deferred compensation assets are netted against deferred compensation liabilities to determine the funded status of the firm’s obligations. Where there is a net asset, that is added to my calculation of economic book value (EBV) and where there is a net liability, that is deducted from my calculation of EBV.

Net Deferred Tax Assets and Liabilities, a Valuation Adjustment

Deferred tax accounts arise because of differences in how firms and the government account for taxes. For example, whereas the government uses accelerated depreciation to calculate taxes owed, firms employ straight-line depreciation. The taxes the company will actually pay, its “cash taxes”, will be lower than the tax expense or provision for income taxes that it will report. 

When the business’ reported income is less than its taxable income, the firm generates deferred tax assets (DTAs), whereas when its reported income is greater than its taxable income, deferred tax liabilities (DTLs) are created. They are either reported on the face of the balance sheet, or off its face, hidden away in the notes. DTAs increase a firm’s reported assets, whereas, DTLs can be seen as a kind of interest-free debt.

“Deferred Tax Assets and Liabilities, an Invested Capital Adjustment”, Joseph Noko

In my calculation of economic book value (EBV), I deduct DTLs, net of DTAs because they are real obligations that will have to be paid in future, reducing shareholder value. DTAs, net of DTLs, on the other hand, are not added to EBV because they cannot be converted into shareholder value, by selling them, for example, and, because they do not represent real value. The most famous example of net DTLs is Berkshire Hathaway, who, in page K-103 of their 2023 annual report, disclosed net DTLs of $92.34 billion. 

Pension Net Funded Status, a Valuation Adjustment

As I discussed in “Overfunded Pension Plan Assets, an Invested Capital Adjustment”, under SFAS 158, companies are obliged to  report the net funded status of their pensions, which is the difference between the fair value of their pension plan assets and the plans’ projected benefit obligation, i.e. the present value of their future pension obligations. Underfunded plans are, in effect, borrowings from employees and will require repayment at some point in the future and so, the degree of underfunding is deducted from my calculation of economic book value (EBV). Overfunded plans have dead capital that is not required to generate a return to meet projected benefit obligations and so, this is added to my calculation of EBV.

Adjusted Total Debt, a Valuation Adjustment

The adjusted total debt of a firm is the sum of the fair value of all its short and long-term obligations, on-balance sheet and off-balance sheet. For example, in 2023, the combination of Meta Platform’s on-balance sheet debt and its operating, variable and not-yet commenced leases, gave it an adjusted total debt of $47 billion, $10 billion greater than the operating lease liabilities, and long-term debt the company reported on its balance sheet. This was due to the impact of its variable and not-yet commenced leases. Without digging into the company’s notes, this would go undetected. I subtract this value from my calculation of economic book value (EBV) to reflect the priority debtholders have over shareholders.

Non-Controlling Interests, a Valuation Adjustment

When a company has majority control of a subsidiary but does not own 100 percent, the entire subsidiary must be consolidated on the parent company’s balance sheet. The funding other investors provide for this subsidiary is recognised on the parent company’s balance sheet as non-controlling interests (formerly called minority interest). When valuing non-controlling interests, it is important to realise that the minority interest holder does not have a claim on the company’s assets, but rather a claim on the subsidiary’s assets.

Valuation: Measuring and Managing the Value of Companies, Tim Koller, Marc Goedhart, and David Wessels

The fair value of non-controlling interest liability is subtracted from shareholder value in my reverse discounted cash flow (DCF) models to reflect the reality that non-controlling interests have claims on cash flows, reducing economic book value (EBV).

Preferred Stock, a Valuation Adjustment

Preferred stock is a form of hybrid financing that has the qualities of both equity and debt. In terms of claims on assets and cash flows, preferred stock is senior to ordinary shares, but below bonds, and may have priority over ordinary shares when dividends are paid or the business is liquidated. They may also be convertible into ordinary shares. By their nature, they divert future cash flows away from shareholders, and so they must be removed from calculations of shareholder value, reducing the firm’s economic book value (EBV).

Deferred Compensation Assets, an Invested Capital Adjustment

Deferred compensation is that portion of employee compensation that has been set aside for future payment. Firms create plans to manage the assets that will be used to settle these liabilities. Consequently, deferred compensation assets are a non-operating liability, which is to say that they are not part of the invested capital that is used to earn net operating profit after tax (NOPAT) for shareholders. 

Firms may report its deferred compensation assets on the face of the balance sheet, which makes discovery a trivial affair, or, off the face of the balance sheet, hidden in its notes. The former requires an exegesis of the nomenclature, while the latter requires a work of excavation that analysts and investors are usually not willing to do.

Outstanding Employee Stock Options, a Valuation Adjustment

Effective 2005, the IASB required employee stock options (ESO) to be expensed in the income statement, with the FASB following a year later. Until then, firms could treat ESO compensation as if it was not a cost, inflating their reported earnings. Consequently, for the era before this accounting change, one must dig up data from the footnotes in order to calculate the cost of ESO issuances and ensure that results are comparable across periods and add the charge to net income so as to arrive at a better measure of NOPAT.

“Employee Stock Option Costs and Goodwill Amortisation, a NOPAT Adjustment”, Joseph Noko

Not only are ESOs a compensation effect that impacts profitability, they are also an obligation to pay employees in shares, in a process of share dilution. There are three ways to value a firm’s ESOs: using company-disclosed fair value, which may be taken at face value if one’s estimate of share price is near that underpinning the option values in the notes to the annual report; option pricing models such as Black-Scholes or more advanced binomial (lattice) models, which, under U.S. GAAP and IFRS, firms use to estimate the total value of all ESOs outstanding; and the exercise value approach, which gives a lower bound for the value of ESOs. In practice, the reported aggregate intrinsic value and the result obtained using Black-Scholes, should be within a narrow range of each other, so I usually elect to use the reported values, unless I see fit to do otherwise. I then subtract this value from my economic book value (EBV) calculation and from the present value of future cash flows in my reverse discounted cash flow (DCF) model.

Non-Operating Unconsolidated Subsidiaries, an Invested Capital Adjustment

Unconsolidated subsidiaries, also referred to as investments in associates, investments in affiliated companies, and equity investments, are businesses wherein a firm has a significant stake that falls short of control, which equates to a 20% to 50% stake, and as such, they come under equity method accounting

When I determine that unconsolidated subsidiaries are non-operating, either because they are disclosed as such, with the income bundled into a non-operating line item, or because disclosure is unclear, I remove them from my calculation of invested capital.

Time-Weighted Acquisitions, an Invested Capital Adjustment

When a company is bought, its purchase price, debts and other long-term liabilities are fully absorbed by the acquirer’s balance sheet. However, only the income it earns for its acquirer is added to the income statement. This has the effect of depressing the acquirer’s invested capital by only partially recognising the profitability of the acquired firm while fully recognising the capital invested in it. 

The thing to do is to adjust invested capital so that it reflects the impact of the acquisition for only the period in which it was acquired, to align it with the “acquired” income on the income statement. Supposing a firm made an acquisition right in the middle of the year, and that acquired firm had an invested capital of $50 billion, then, only 50% of that invested capital, or $25 billion, would impact the invested capital of the acquirer. By time-weighting the acquisitions’ invested capital, the acquirer’s stewardship of that capital is only judged for the portion of the fiscal year when the acquirer was in control. 

This allows me to calculate the average invested capital as,

Beginning Invested Capital + (Ending Invested Capital – Acquired Invested Capital) / 2) + Time Weighted Acquired Invested Capital

Accumulated Goodwill Amortisation and Unrecorded Goodwill, an Invested Capital Adjustment

The Financial Accounting Standards Board (FASB) eliminated goodwill amortisation from 2002 and the International Accounting Standards Board (IASB) followed in 2005. Before that, goodwill, the capitalised value of the excess of purchase price over fair value of identifiable assets, required an annual charge to earnings for up to 40 years until the value of goodwill was eliminated. (Warren Buffett’s essay, “Goodwill and its Amortisation: The Rules and The Realities” in the appendix to his 1983 chairman’s letter, is an excellent discussion of goodwill amortisation). Since those accounting changes, goodwill is now subjected to impairment testing, which, unlike goodwill amortisation, is a real economic cost to the firm.

“Employee Stock Option Costs and Goodwill Amortisation, a NOPAT Adjustment”, Joseph Noko

Statement of Financial Accounting Standards (SFAS) 142 has implications for my calculation of invested capital. Accumulated goodwill amortisation, which sums up all the goodwill amortisation expensed throughout the life of the firm, is added back on my calculation of invested capital, for the pre-SFAS 142 era. 

Pooling of interests is another long-defunct accounting method impacting goodwill. Prior to SFAS 141, which came into effect in 2002, when companies using this method merged, or acquired a business, the assets and liabilities of the company acquired or merged with were transferred at their book values, avoiding goodwill recognition and recording of the purchase price, eliminating the need for goodwill amortisation, and so, inflating GAAP earnings. In addition, because book values were typically lower than the purchase price, a firm’s balance sheet was more attractive, as were its returns. So, to ensure comparability between firms using the pooling of interests method and the purchase method of accounting for mergers and acquisitions, for companies using the pooling of interests method, I add the difference between what the firm paid for the business and the book value of assets, to invested capital.

Excess Cash, an Invested Capital Adjustment

Firms use a portion of their cash and cash equivalents and investments as operating cash for the running of the business, and any cash beyond this amount is excess cash and a non-operating asset. As a rule of thumb, I assume that operating cash is equal to 5% of revenue, increasing or decreasing this requirement according to the firm’s operating profitability. Excess cash grants firms optionality, and protection against crisis, and, compounds as a consequence of a firm’s profitability. As a non-operating asset, excess cash is not part of my calculation of invested capital. In the last twelve months (2Q 2023 to 1Q 2024), Meta Platforms had $61.48 billion in excess cash, assuming that, given the company’s profitability, operating cash is 2% of revenue.

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