EI 5 Introduction to Equity Valuation
A share has one market price at any moment, but that number is not the same thing as what the share is worth. The market price is the figure at which the security may be bought or sold in the secondary market, and it bundles together the collective, and often conflicting, expectations of every active participant about the size, timing, and uncertainty of the cash flows the firm will deliver to its owners. If markets are informationally efficient, that observed price already absorbs all available information.
Intrinsic value, sometimes called fundamental value, is different. It is an unobserved and largely unobservable quantity: the true present value of the cash flows a share is expected to generate, discounted at a rate that matches their risk. Because analysts feed in different information, apply different risk tolerances, and assume different holding horizons, the value each one estimates can vary, sometimes by a wide margin. We call each of these individual estimates a perceived value. The gap between an investor’s perceived value and the current price is what drives both investor trades and issuer decisions such as buybacks or new issuance.
Three ways investors form a perceived value
Market participants reach for one of three broad approaches when they translate information into a view of value.
- Naive or story-based valuation. A narrative about the company that is not tied to any deep economic or financial analysis. It is common for meme stocks, whose prices move on social media chatter, and for cult companies, whose loyal followings drive buying regardless of expected performance. Bubbles lean on the same kind of story to justify extreme prices. Such a story can turn out to be right, but it rests on no rigorous study of the share.
- Relative valuation. Observed financial or market data are turned into an indicator, such as the price-to-earnings (P/E) or price-to-book (P/B) ratio, and compared against a peer group. A firm is then judged rich or cheap relative to its peers. The indicators must be chosen sensibly and computed the same way across the group to mean anything.
- Absolute or fundamental valuation. Expected cash flows are discounted directly to today. This is the discounted cash flow idea: sum the present value of expected periodic cash flows to investors plus the present value of an expected future share price.
A well-built valuation model tries to strip out the personal biases that individual participants bring, leaving an estimate of intrinsic value that stands apart from the current price. Most analysts run more than one approach before settling on a value.
When price and value diverge
Looking at a share from the shareholder viewpoint, an analyst compares the market price P at time t against the estimated intrinsic value IV and reaches one of three conclusions.
| Market situation | Investor action | Issuer action |
|---|---|---|
| Undervalued (value > price) | Buy shares, increase exposure | Repurchase outstanding shares |
| Overvalued (price > value) | Sell shares, decrease exposure | Issue new shares |
Prices are easy to observe, but value is not always easy to pin down. Issuers with steady, predictable growth and regular dividends are simpler to value than firms that are growing fast, cyclical, or in the middle of major change. For these harder-to-value names, estimates scatter more widely across analysts, and how confident an analyst feels, together with how far the estimate sits from the price, decides whether anyone actually trades on the result.
GameStop, the largest video game retailer, saw its business erode as shopping moved online; it shut stores and stopped paying dividends in 2019. Institutional investors judged the shares overvalued and sold them short, and by mid-2020 the aggregate short position was worth more than 25 times average daily volume. Individual investors on social media forums took the opposite view, that the company would survive and that buying would squeeze the short sellers, and their aggressive purchases drove the price up from below USD1 in mid-2020 to almost USD87 at the early 2021 peak (adjusting for a later 4-for-1 split). Management, seeing the spike, issued shares twice: first 3.5 million shares for over USD550 million (using almost half to retire all long-term debt), then 20 million shares at roughly USD56 for another USD1.13 billion. The episode shows how differing perceived values across investor types, and the issuer itself, generate real price dynamics.
Ranges and scenario analysis
Because both prices and value drivers move as new information arrives, analysts usually work with ranges rather than single points. A price range is often just the recent high and low. A value range can come from several methods, or from flexing the key inputs of one method under different scenarios. Scenario analysis blends a base case with more favorable (bullish) and more adverse (bearish) outcomes, weighting each by its probability.
Placing the resulting value range next to the recent trading range produces what practitioners call a floating bar, or football field, valuation chart. We return to that chart in the final section.
An investor buys a non-dividend-paying stock at its current price of EUR21.65 and builds three equally likely scenarios for the price at the end of the horizon: a base case of 26.59, a best case of 34.93, and a worst case of 18.25.
Before running a full model, analysts lean on three observable measures drawn from financial statements or market data: the book value of equity, market capitalization, and enterprise value. Each gives a partial read on intrinsic value, and each has blind spots.
Book value of equity
The book value of equity is simply the carrying value of assets less the carrying value of liabilities in the audited statements.
Expressed per share, it measures net assets per unit of ownership capital. Shareholders equity here includes closely held shares but leaves out minority interest, since that stake carries no control over ownership decisions.
Book value can also be reached from the equity side of the balance sheet.
Several accounting choices distort book value. Because carrying amounts on the balance sheet can sit at either historical cost or market value, and because depreciation methods differ, two otherwise similar firms can show very different carrying values: newer assets are less depreciated and therefore sit at higher book amounts than older ones. Intangibles complicate things further. Internally generated intangibles, such as an internally developed patent, are usually expensed at once, while purchased intangibles are amortized over a finite life or tested for impairment if their life is indefinite. Any premium an acquirer pays above the fair value of identifiable net assets is recorded as goodwill. For all these reasons, acquisitive firms can look richer on the balance sheet than firms that grew organically, so analysts typically strip out intangible assets when they compute book value. Book value works best for firms heavy in tangible assets with similar asset structures, and it says little about asset-light or early-stage companies.
A negative book value of equity can flag distress, since a firm might be unable to cover its obligations from existing assets in accounting terms. But not always: fast-growing firms, or firms that have written down assets, can keep creating value despite negative book equity, and heavy buybacks can drive book equity below zero even at consistently profitable companies.
Orsted A/S, a Danish offshore wind developer, canceled a 2.2 GW project off New Jersey in October 2023 after supplier delays, tax credit limits, and cost overruns. The cancellation drove over DKK19 billion of asset write-downs, cutting book value of equity from DKK95.5 billion at year-end 2022 to DKK77.8 billion at year-end 2023; the shares fell almost 25 percent on the first announcement. McDonald’s tells the opposite story. Its book value of equity topped USD16 billion at year-end 2013, then fell below zero by end 2016 and reached negative USD8.2 billion by end 2019. This was not from losses: the company earned over USD63 billion cumulatively from 2013 to 2023, yet it returned USD39 billion through dividends and USD42 billion through buybacks, distributions well above net income. Over the same span its market value of equity rose from USD96 billion to USD214 billion, powered by its brand, franchise royalties, and roughly USD40 billion of owned real estate.
Market capitalization
Where book value looks backward at recorded cost, the share price looks forward, embedding investor expectations about the cash flows that positive net present value projects will generate. Market capitalization is the price per share times shares outstanding.
Unlike book value, which updates only when statements are filed, market capitalization moves daily with the price. Share counts can change within a reporting period through issuance or buybacks, but outsiders learn the new count only once filings appear. The share total includes both publicly traded shares and privately held or restricted stock.
Comparing market capitalization with book value gives a first read on price versus value. When investors assign the assets a higher value than their carrying amount, market capitalization exceeds book equity, and the excess is commonly read as value created for owners. When the market values the assets below book, a shortfall appears that offsets part of the book equity. A share below its book value may be undervalued, but it may equally be fairly priced or even rich if the firm is uncompetitive, holds obsolete assets, or is poorly managed. The relationship is summarized in the price-to-book ratio.
These ratios of price to an accounting measure are called multiples. A lower multiple looks cheaper on that metric, on the assumption that it will drift up toward comparable firms; a higher multiple says investors prize the firm’s future cash generation over its recorded net assets. Price-to-book is most useful among firms in one industry with similar leverage and none of the book value distortions above.
An analyst compares logistics peers. Advani Cargo Limited (ACL), based in India, reports assets of INR800 million against shareholders equity of INR200 million, has 10 million shares, and trades at INR95. Bairnsworth (BRW), an Australian peer, reports assets of AUD20 million against equity of AUD5 million, has 400,000 shares, and trades at AUD50. The two firms have similar sales-to-asset ratios and profit margins.
| Attribute | ACL (INR) | BRW (AUD) | CEC (JPY) |
|---|---|---|---|
| Assets | 800 million | 20 million | 1,500 million |
| Liabilities | 600 million | 15 million | 1,400 million |
| Shareholders equity | 200 million | 5 million | 100 million |
| Shares outstanding | 10 million | 400,000 | Not provided |
| Share price | 95 | 50 | Not provided |
| Market capitalization | 950 million | 20 million | 900 million |
| P/B | 4.75 | 4.00 | Not comparable |
Enterprise value
A third view takes the perspective of a buyer of the whole firm. In a takeover the acquirer inherits the target’s debt but also gets its cash, and since cash can be used to pay the price or retire debt, firm value counts only net debt, that is, debt minus cash and near-cash investments. Enterprise value adds the market value of equity, preferred shares, and net debt.
Because enterprise value captures the claims of debtholders and preferred holders alongside common holders, it compares firms with different financing mixes more fairly than share price alone. It is measured in the reporting currency, so enterprise values in different currencies must be converted to a common one before being compared directly.
Add debt and cash to the three logistics peers, and assume none has preferred shares: ACL carries INR500 million of debt and INR100 million of cash; BRW carries AUD12 million of debt and AUD3 million of cash; CEC carries JPY1,100 million of debt and JPY200 million of cash.
Enterprise value pairs naturally with cash flow or operating profit available to all capital providers. As a numerator it reads as firm value for each unit of sales or operating profit generated.
Unlike enterprise value itself, an EV multiple is a pure ratio, not a currency amount, so it can be compared straight across firms reporting in different currencies.
Using the enterprise values above, the analyst adds revenue and EBITDA: ACL has revenue INR1,200 million and EBITDA INR150 million; BRW has revenue AUD30 million and EBITDA AUD4 million; CEC has revenue JPY2,250 million and EBITDA JPY300 million.
When a firm’s traded debt price cannot be observed, analysts often substitute par or book value, adjusting from quotes on bonds of similar maturity, sector, and credit quality when the debt is likely to trade well away from par.
Absolute valuation tries to pin down the real cash flows or asset prices that underlie a share’s intrinsic value. Two families sit inside it: present value models, which discount expected cash flows, and asset-based models, which value what the firm owns.
Present value models
Present value models discount expected future capital income and capital appreciation to today. Equity cash flows do not stop at a fixed maturity the way a bond’s do; they run indefinitely until the firm is restructured, acquired, or wound up. So analysts forecast a finite series of cash flows and then attach a terminal value that stands in for everything beyond the forecast window.
Four choices distinguish one present value model from another: the cash flow metric, the required rate of return, the length of the forecast horizon n, and the terminal value. The cash flow metric can be limited to actual distributions or widened to funds that could be reinvested. Actual distributions point to the dividend discount model. Where a firm is unlikely to sustain steady dividends, free cash flow fits better, and it comes in two forms.
Free cash flow to the firm (FCFF) tracks the cash that debt and equity providers together can claim, whereas free cash flow to equity (FCFE) isolates what is left for common shareholders. Both subtract necessary capital spending, and they differ by net debt repayment and the after-tax cost of interest. The metric drives the discount rate: dividends and FCFE both measure shareholder cash and are discounted at the required return on equity, while FCFF, which serves all capital providers, is discounted at the weighted average cost of capital. A dividend model suits mature firms with stable payouts, FCFE suits non-dividend payers with a stable capital structure, and FCFF suits firms with heavy or shifting leverage, or negative FCFE.
A residual income model instead measures the return earned above the required return on equity in each period. Residual income is the profit that remains after subtracting the equity charge, the required return times beginning book value, from net income. It is smaller than earnings and smaller than FCFE, because it strips out the normal cost of the equity capital employed.
Because it builds on accounting book value, the residual income model fits firms without book value distortions, without steady dividends, or with negative free cash flow, and it leans less heavily on the terminal value than other present value models. A firm expected to earn positive residual income should trade at a price-to-book ratio above one.
| Model | Cash flow metric | Discount rate | Best applied to |
|---|---|---|---|
| Dividend discount | Dividends | Required return on equity (re) | Mature firms with stable or consistent dividend policy |
| Free cash flow to the firm | FCFF | Weighted average cost of capital | Firms with high or changing leverage |
| Free cash flow to equity | FCFE | Required return on equity (re) | Non-dividend payers or inconsistent payout with a stable capital structure |
| Residual income | Residual income per share | Required return on equity (re) | Firms without book value distortions, inconsistent dividends, or negative free cash flow; less weight on terminal value |
The strength of present value models is rigor: they use financial statement measures to estimate the size and timing of cash flows directly, and the range of cash flow metrics lets them flex to firms with different profiles and changing revenue, margins, or payout policies. Their level of detail is also their weakness. Different models and horizon choices can muddy comparisons, results are sensitive to uncertain inputs, and a focus on company cash flows alone can miss market or industry shifts, such as forecasting a traditional retailer off historical figures while online rivals reshape the sector.
Three firms each generate positive cash flow for shareholders. Gisborne pays out 25 percent to 40 percent, buys back significant stock, and funds those buybacks partly with new debt. Hastings pays out only 5 percent to 10 percent, buys back significant stock, and holds a stable debt ratio. Picton pays out 70 percent to 80 percent, does no buybacks, and grows revenue and net income slowly.
Asset-based valuation models
Asset-based models estimate the intrinsic value of a share by subtracting the fair value of liabilities from the fair value of assets. The premise differs from present value thinking: here a firm is worth mainly the resources it owns or controls, not the cash those resources produce. For a commodity producer, the value of mineral or oil reserves swings with commodity prices, and when extraction and sale of those assets is the core business, share prices tend to move with them. Albemarle, a leading lithium producer whose lithium output is over 70 percent of revenue, saw its stock climb with soaring lithium prices into 2022 and slide as the commodity fell back afterward. Intangibles such as a brand or trademark, and assets that are incidental to operations such as owned real estate, are frequently valued separately from their cash-generating role: much of Walmart’s worth, for instance, is implied by the vast real estate it owns rather than leases.
The appeal of the asset-based approach is that valuing assets is comparatively direct and does not rest on the many forecasts a present value model needs, and it is well suited to valuing a single division, individual assets, or a firm in liquidation. Its drawbacks are that it can ignore going-concern factors such as margins, efficient asset use, and competition, and it may overlook taxes and liabilities that bear on intrinsic value.
Relative valuation, or the method of comparables, builds ratios of a market-based value measure to a standardized income statement or balance sheet figure, then compares them across similar firms. The numerator is usually share price or enterprise value; the denominator is earnings, cash flow, revenue, or book value.
Price multiples
Multiples that put share price on top look only at value to shareholders. A common one is the price-to-earnings ratio.
Earnings per share can be trailing (the past year) or forward (the next year’s forecast), applied consistently across the comparison set. Like any multiple with earnings underneath, P/E needs a reliably positive denominator, so it suits only firms and industries that stay profitable across the period; issuers with very low or negative earnings ought to be dropped, and extraordinary or non-recurring items should be removed so the comparison reflects sustainable earning power.
Extend the logistics peers with recent net income and share data: ACL trades at INR95 with 10 million shares and INR100 million of net income; BRW trades at AUD50 with 400,000 shares and AUD2.75 million of net income; CEC trades at JPY450 with 2 million shares and JPY120 million of net income. Half of BRW’s net income came from a one-time gain on selling used equipment.
Enterprise value multiples
Enterprise value multiples value the whole firm from the standpoint of debt and equity holders together, so the denominator is a measure available to all capital providers, such as revenue, EBIT, or EBITDA. Comparing a firm’s multiple with an industry composite gives a relative read.
For the logistics peers, EV/EBITDA multiples are ACL 9.00, BRW 7.25, and CEC 6.00, and trailing P/E multiples are ACL 24.0, BRW 17.0, and CEC 12.0. The industry composites are 8.0 for EV/EBITDA and 25.0 for P/E, built from all competitors with economically meaningful multiples. Research indicates ACL has growth potential comparable to the overall industry, while CEC carries considerably more debt than the industry.
Relative models appeal for their simplicity: rather than forecasting cash flows over a horizon, they line up similar firms and can fold in analyst forecasts of future earnings or other variables. Instead of a full intrinsic value, an analyst can estimate a justified multiple, the fair value of the multiple supported by comparables or by forecasted fundamentals, and compare it against the traded multiple. The main limits are choosing genuinely comparable firms, which can swing the result, and differences in fundamentals that make two firms’ multiples less alike than they seem.
Reconciling several approaches
Most analysts run more than one model, since each is a simplification with its own uncertainty of specification and inputs. A floating bar, or football field, chart lays each model’s value range beside the recent trading range so the analyst can see where they agree and disagree.
When the ranges cluster above the price the read is clean, as above. When they scatter widely, or point in opposite directions, the picture is inconclusive, and analysts dig back into assumptions, study peers and market dynamics more closely, and may reweight the models to reflect their relative confidence.
A stock trades at EUR21.65. Three methods give midpoint values: discounted cash flow 16.13, comparables 18.58, and residual income 33.71.
A retail sector composite shows P/B 8.0, P/E 50.0, EV/Revenue 3.0, and EV/EBITDA 16.0. Rivercreek, which owns most of its stores, reports revenue 50,000, EBITDA 9,000, net income 3,000, total assets 45,000, book value of liabilities 32,000, market capitalization 180,000, and enterprise value 190,000 (all in thousands of USD).