What value is: claims on future cash, discounted

A share certificate is not worth anything because it is a share certificate. It is worth something because it entitles the holder to a stream of cash that a business will produce in the future, after everyone with a prior claim — suppliers, employees, lenders, the tax authority — has been paid. Strip that away and you are holding a piece of paper whose price depends entirely on what the next person will pay for it.

That distinction is the whole foundation of valuation, and it is the one most people skip. Price is what the market prints. Value is what the underlying cash flows justify. The two are related — over long horizons price tends to converge toward value, because owners eventually want the cash — but they are produced by completely different mechanisms. Price is produced by supply and demand among people with different horizons, tax positions, leverage and moods. Value is produced by a business selling things for more than they cost to make.

The definition that survives contact with reality

The value of any asset is the present value of the cash it will hand its owner over its life, adjusted for the risk that the cash does not arrive.

That sentence contains three separate claims, and each one does real work.

Cash, not accounting profit. Profit is an opinion expressed in accrual accounting; it depends on when revenue is recognised, how quickly assets are depreciated, whether development spending is capitalised. Cash is a fact: it either landed in the bank account or it did not. A company can report rising profits for years while burning cash, because the profit is sitting in receivables customers have not paid and inventory nobody wants. The mechanism is simple — accrual accounting records the promise of cash, and promises break.

Future, not past. What a business earned last year is evidence about what it will earn, not a component of what it is worth. A factory that made CHF 10 million a year for a decade and will be obsolete in eighteen months is worth roughly the value of eighteen months of cash plus scrap. History matters only as a guide to the future, and the strength of that guide varies enormously: a Swiss cantonal utility's history is a good guide, a fashion brand's is a weak one.

Discounted, not summed. A franc arriving in ten years is worth less than a franc today. Not because of pessimism — because a franc today can be invested and become more than a franc in ten years, and because a franc promised in ten years may not turn up. Both effects are handled by the same arithmetic device, the discount rate, which the sibling lessons on the time value of money and on the discount rate take apart properly.

Why "claims" is the load-bearing word

Cash flows through a business in a strict order of priority, and where you sit in that order determines what you own.

Revenue comes in. Suppliers and employees are paid — they have first claim, and they are paid whether or not the business is profitable. Interest goes to lenders, who have a contractual right to it and can force insolvency if it is not paid. Tax goes to the Confederation, canton and commune. Capital expenditure has to be funded, because a business that stops reinvesting stops existing. What is left over is the equity holder's — the residual claim.

Residual means last in line and unlimited in both directions. Bondholders get their coupon and nothing more; if the company doubles its earnings they still get the coupon. Equity holders get whatever remains, which can be zero and can be very large. This asymmetry is why equity is riskier than debt on the same business, and it is why valuing equity requires forecasting the whole business first and then subtracting everyone senior to you.

It also means "the value of a company" is ambiguous unless you say which claim you mean. Enterprise value is the value of the whole cash-generating operation, available to all providers of capital. Equity value is what is left after net debt. Confusing them is the single most common arithmetic error in amateur valuation, and the lesson on free cash flow to the firm versus to equity deals with keeping the two consistent.

A worked example, deliberately simple

Suppose a small Zurich business — a well-located kiosk, say — generates CHF 100,000 of cash to its owner every year, and you believe it will continue to do so indefinitely with no growth and no additional investment required. You decide that, given the risks, you want an 8% annual return to own it rather than holding something safer.

The value of a level perpetual stream is the annual cash divided by the required return:

CHF 100,000 ÷ 0.08 = CHF 1,250,000

Now change one assumption. Suppose the cash grows 3% a year forever, because rents and prices drift up with the local economy. The growing perpetuity formula divides by the required return minus the growth rate:

CHF 100,000 ÷ (0.08 − 0.03) = CHF 100,000 ÷ 0.05 = CHF 2,000,000

A three-percentage-point assumption about the distant future increased the answer by 60%. Nothing about the business changed. This is not a flaw in the arithmetic; it is the arithmetic telling you the truth, which is that long-lived assets are genuinely, structurally sensitive to small changes in long-run assumptions. Any valuation method that hides this sensitivity — including a multiple, which merely buries the same assumptions inside a single number — is hiding it from you, not removing it.

Notice also what happens if you assume growth of 8% forever. The denominator becomes zero and the value becomes infinite. That is the model refusing to accept an impossible input: nothing can grow faster than the economy forever, because it would eventually be the economy. The lesson on terminal value returns to this constraint, which is where most inflated models fail.

The cash has to actually reach you

Valuation textbooks tend to stop at "the cash the business produces". For an investor the relevant number is the cash that arrives in your account, and in Switzerland the gap between the two has a specific shape.

Withholding tax. Swiss companies must withhold 35% on dividends and remit it to the federal tax administration. A Swiss-resident private investor who declares the income reclaims it in full through the ordinary tax return, so it is a timing cost, not a permanent one. A foreign investor may recover only part, depending on the applicable double taxation agreement. Same company, same dividend, different net cash — so different value to different holders.

The currency it arrives in. Most of what a Swiss investor can buy pays in euros or dollars, and the franc is the unit you actually spend. A dividend declared in euros reaches you as however many francs the exchange rate and your bank's conversion spread allow on the day it is paid, and the franc has appreciated against most major currencies over long horizons. Hedging removes that uncertainty but not for free: the cost of a currency forward is set by the interest rate differential between the two currencies, so hedging a higher-yielding currency back into francs costs roughly that differential every year, permanently, out of the same cash stream you are valuing.

Wealth tax. Cantons levy an annual tax on net assets. It is small in percentage terms but it is charged on the asset's value regardless of whether the asset paid you anything, so a holding that distributes nothing still produces an annual cash outflow you have to fund from somewhere else.

Where you are assessed changes the arithmetic. Income tax in Switzerland is levied at three levels — federal, cantonal and communal — and the cantonal and communal parts differ substantially from place to place, with communes inside the same canton applying their own multiplier to the same cantonal schedule. Two investors holding identical shares and receiving the identical dividend therefore keep different amounts of it. When you compare a dividend yield against your own required return, use the rate that applies where you are actually assessed. There is no national number to use instead.

None of this changes what the business is worth. It changes what the claim on that business is worth to you, which is the number that determines whether a purchase makes sense.

Value is a range, and the model is an argument

Because the inputs are forecasts, the output is a forecast. Anyone who tells you a company is worth CHF 58.40 per share is telling you about the precision of their spreadsheet, not the accuracy of their view. The honest output of a valuation is a range with the reasoning attached: "between roughly CHF 40 and CHF 60, driven mainly by whether margins hold near current levels; below CHF 40 only if the largest customer leaves."

Framed that way, a valuation becomes falsifiable. You have named the variables that matter, so you know what news would change your mind, and you can check later whether the world moved the way you assumed. That is what separates analysis from narrative. A model whose conclusion cannot be broken by any conceivable fact was not a model.

The rest of this course builds the machinery — discounting, cash flow definitions, discount rates, terminal value, multiples, comparables, returns on capital — but all of it serves this single idea. You are buying a claim on future cash. Everything else is a technique for estimating how much, how soon, and how sure.

What to take away

• A financial asset is worth the present value of the cash it will deliver to its holder; price and value are produced by different mechanisms and only converge over long horizons.
• Equity is the residual claim, paid after suppliers, employees, lenders, tax and reinvestment, which is why it carries both unlimited upside and the risk of total loss on the same business that safely services its debt.
• Long-lived cash streams are structurally hypersensitive to long-run assumptions: at an 8% required return, moving perpetual growth from 0% to 3% raised the value of a CHF 100,000 stream from CHF 1.25 million to CHF 2 million.
• Swiss investors should value the after-tax cash they actually receive: 35% withholding is reclaimable for residents but not fully for foreigners, the income tax on a dividend depends on your canton and commune rather than on any national rate, wealth tax applies whether or not the holding distributes, and a foreign-currency dividend arrives at whatever the exchange rate and conversion spread allow.
• The useful output of a valuation is a range plus the named assumptions that drive it, because that is the only form in which a valuation can be tested and updated.

Sources

• John Burr Williams, The Theory of Investment Value (1938) — the original formulation of value as discounted future distributions to owners.
• Benjamin Graham and David Dodd, Security Analysis (1934) — the distinction between price and intrinsic value, and the discipline of margin of safety.
• Aswath Damodaran, Investment Valuation — comprehensive treatment of discounted cash flow mechanics and the choice between firm and equity perspectives.
• Tim Koller, Marc Goedhart and David Wessels, Valuation: Measuring and Managing the Value of Companies (McKinsey & Company) — value as a function of returns on capital and growth.
• Merton Miller and Franco Modigliani, "Dividend Policy, Growth, and the Valuation of Shares", Journal of Business (1961) — why value derives from the cash-generating capacity of assets rather than the form of distribution.
• Swiss Federal Tax Administration (Eidgenössische Steuerverwaltung / Administration fédérale des contributions) — official guidance on Swiss withholding tax (Verrechnungssteuer) and its refund procedure.
• Swiss National Bank — statistical publications on Swiss interest rates and financial accounts, useful for grounding long-run assumptions in local data.