Bulios Academy How to value a stock: multiples and discounted cash flow in practice

Guide · Intermediate · 14 min read

How to value a stock: multiples and discounted cash flow in practice

Two ways to answer what a share is worth: compare it with similar companies and its own past, or discount the cash it will produce. Both on one worked example, with the three assumptions that decide the result, a sensitivity table that shows how much they matter, and the margin of safety that makes the answer usable.

What you will take away

  • Start from what the market already assumes: the price, the market value and the enterprise value are the facts, the estimate is your opinion against them
  • A multiple is only readable against the company's own history and peers with similar growth and margins, and each kind of business has the multiple that fits it
  • A discounted cash flow model runs on three assumptions - growth, cash conversion and the discount rate - and a one-point change in the rate moves the result more than a three-point change in growth
  • Most of a DCF's value sits in the terminal value, which is why the model is a way to think rather than a source of precise numbers
  • Buy with a margin of safety: an estimate is a range, and the price has to sit well below it before the gap means anything

Valuation answers one question in two directions: what is this company worth, and what does the current price assume it is worth. Investors who skip it buy good companies at prices that already contain the next ten years of good news. Investors who overdo it build spreadsheets with four decimals on inputs they guessed. This guide takes the middle road on the example company from the checklist and the statements guide, Example Co, whose shares trade at 30. It covers the two families of methods - multiples and discounted cash flow - shows how much each assumption moves the answer, and ends with the one habit that makes any estimate usable: not paying for it in full.

Start from what the price already says

Before estimating anything, write down the facts the market has set. The share price times the number of shares is the market value of the equity. Add the net debt and you have the enterprise value, the price of the whole business including what its lenders are owed. Every multiple and every model is measured against these two numbers.

Example Co: 50 million shares at 30, net debt of 200 (all figures illustrative, in millions except per share)
Market value = 50 × 30 = 1,500 · Enterprise value = 1,500 + 200 = 1,700

From the statements guide, Example Co earns net income of 100, EBITDA of 200 and free cash flow of 80, and from the checklist it has grown revenue about 8 % a year with rising margins. Those are the inputs. The question is whether 1,500 for the equity is a lot or a little for them.

The multiples: what each one measures and when it fits

A multiple divides the price by something the company produces. It is quick, it is comparable, and it is only meaningful next to the same multiple for the same company in other years and for similar companies today. Four cover most situations.

MultipleFormulaExample CoFits best
P/EMarket value / Net income1,500 / 100 = 15xProfitable, asset-light businesses with stable earnings
EV/EBITDAEnterprise value / EBITDA1,700 / 200 = 8.5xCapital-heavy businesses and comparisons across different debt levels
Free cash flow yieldFree cash flow / Market value80 / 1,500 = 5.3 %Any business - the closest to what an owner actually receives
P/BMarket value / Book equity1,500 / 500 = 3.0xBanks, insurers and other businesses whose assets are mostly financial
The common multiples, with Example Co at a price of 30

Two notes on reading them. The P/E turned upside down is the earnings yield - 1 divided by 15 is 6.7 % - which puts it on the same footing as a bond yield or the free cash flow yield. And EV/EBITDA is the multiple to use when comparing companies with different debt: two businesses with the same P/E can have very different enterprise values once their borrowing is counted.

Relative valuation: the company against itself and its peers

A multiple on its own is a number. Two comparisons turn it into a judgement. The first is the company's own history: Example Co at a P/E of 15 after averaging 18 over five years trades at a discount to its past, and the question is whether anything has changed to justify it. The second is the peers: companies with similar growth, margins and risk. Not the sector average - a fast-growing, high-margin company deserves a higher multiple than a slow one in the same industry.

CompanyP/EEV/EBITDARevenue growthOperating margin
Example Co today15x8.5x8 %15 %
Example Co, 5-year average18x10x7 %13 %
Peer A22x12x10 %17 %
Peer B19x10.5x7 %14 %
Peer C14x8x3 %11 %
Example Co against its history and three peers (illustrative)

Peer B is the honest comparison: similar growth and margins, a P/E of 19 against Example Co's 15. Peer A grows faster with better margins and earns its 22. Peer C grows barely at all and trades at 14, which is where Example Co would belong only if its growth were about to stop. Against the right peer and against its own history, Example Co looks roughly 20 % cheaper than its fundamentals suggest. Relative valuation cannot say whether the whole group is expensive. That is the job of the second family of methods.

Intrinsic valuation: discounting the cash the business will produce

A company is worth the cash it will hand to its owners over its life, counted in today's money. That is the idea behind a discounted cash flow model. Money received next year is worth less than money received today, by a discount rate that reflects what you could earn elsewhere at similar risk, so each future year's free cash flow is reduced accordingly and the reduced amounts are added up.

The present value of a stream of free cash flows at discount rate r
Value = FCF₁ / (1 + r) + FCF₂ / (1 + r)² + ... + FCFₙ / (1 + r)ⁿ + Terminal value / (1 + r)ⁿ

Nobody can forecast cash flows for thirty years, so the model forecasts a few years explicitly and then assumes the business grows at a modest constant rate forever. That last piece is the terminal value, computed as the final year's cash flow grown one year and divided by the discount rate minus the long-term growth rate. Three assumptions drive everything: how fast free cash flow grows in the explicit years, what it settles to afterwards, and the discount rate.

YearFree cash flowDiscount factorPresent value
186.40.91779.3
293.30.84278.5
3100.80.77277.8
4108.80.70877.1
5117.60.65076.4
Terminal value121.1 / (0.09 - 0.03) = 2,0180.6501,311.5
Enterprise valueSum of the present values above-1,700.6
Less net debtFrom the balance sheet--200
Equity valueEnterprise value minus net debt-1,500.6
Per share (50 million shares)Equity value / 50-30.0
Example Co: free cash flow of 80 growing 8 % a year for five years, then 3 % forever, discounted at 9 % (illustrative, in millions)

The model lands almost exactly on the market price of 30. That is not a coincidence of the example. It is the most useful way to read a DCF. Run backwards, it says: at 30, the market is assuming Example Co grows its cash flow about 8 % a year for five years, settles at 3 % and deserves a 9 % discount rate. Your job is not to produce a different number. It is to decide whether those three assumptions are too optimistic, too pessimistic, or about right.

How much the assumptions matter

The table below reruns the same model with growth of 5 %, 8 % and 11 % in the explicit years and discount rates of 8 %, 9 % and 10 %. Everything else stays the same.

Growth, years 1 to 5Discount rate 8 %Discount rate 9 %Discount rate 10 %
5 %32.025.921.6
8 %37.030.025.1
11 %42.534.528.8
Example Co value per share under different assumptions (illustrative)

Two lessons sit in this table. Moving the discount rate by one point changes the value by 15 to 20 %, more than a three-point change in growth does, so the rate you choose is the most consequential number in the model and the one people argue about least. And the range of reasonable answers runs from about 22 to 42 for a share that trades at 30: a valuation is a range, and anyone who gives you a single figure has hidden the assumptions that produced it.

The margin of safety: what makes an estimate usable

If a careful estimate puts Example Co somewhere between 26 and 34 with 30 as the middle, buying at 30 means paying the full estimated value and relying on the assumptions being right. The margin of safety is the discount you demand between the estimate and the price before you act - a cushion for the assumptions being wrong, which some of them always are. Long-term investors commonly look for a price 20 to 30 % below their central estimate for a stable business, and more for a riskier one. For Example Co that would mean a price in the low twenties, not 30: by this standard the shares are fairly priced and belong on the watchlist for now.

This is also how to read Bulios Fair Price. It estimates the value by several methods at once - multiples against peers and history, discounted cash flow, and others - and shows where the price sits relative to that estimate and the valuation grade across the whole universe. It is the reference point for the gap. The margin of safety you require, and the judgement on the assumptions behind the estimate, remain yours.

Lesson: the Fair Price methodology Which valuation methods Bulios combines, what each measures, and why the result is an estimate and not a price target. Read the lesson Fair Price Index The gap between price and estimated value across the stock universe, with the valuation grade - the screen to run before any model. Open Fair Price Index

The mistakes that produce confident wrong numbers

  • Precision on guessed inputs. A value of 31.47 built on growth you estimated to the nearest percent is 30, give or take five. Report ranges.
  • Terminal growth above the economy. A business cannot grow faster than everything around it forever. The ceiling for the perpetual rate is 2 to 3 %, whatever the company did in its most recent year.
  • Peak earnings on a cyclical. A P/E of 8 at the top of a cycle is often a P/E of 25 at the bottom. Average the earnings over a cycle or use EV/Sales for the comparison.
  • Ignoring the share count. Options and stock compensation add shares every year, and a company issuing 3 % more shares annually hands 3 % of your value to employees. Use the diluted count and watch its trend.
  • Comparing across sectors. A software company at a P/E of 30 and a utility at 12 are not a mispricing but different growth, margins and capital needs.
  • Anchoring on the price. Building the model to arrive at the current price is easy and useless. Set the assumptions first, from the business, and let the number fall where it falls.

The valuation on one page

MethodResultAssumes
P/E against own historyAbout 20 % below the 5-year averageNothing in the business has deteriorated
P/E against the closest peerAbout 20 % below Peer BPeer B is fairly priced and truly comparable
Free cash flow yield5.3 %, above peersCash conversion of 80 % of net income continues
DCF, central case30 per shareGrowth 8 % for 5 years, 3 % after, discount rate 9 %
DCF, range22 to 42 per shareGrowth 5 to 11 %, discount rate 8 to 10 %
With a 25 % margin of safetyBuy below about 22The central estimate is right only on average
Example Co at 30: every method, its answer and what it assumes
Guide: how to analyze a stock before you buy Valuation is question four of eight. The whole checklist from the business to the position size. Read the guide Stock screener Filter the market by P/E, EV/EBITDA, free cash flow yield and valuation grade, and take the shortlist through the methods above. Open the screener

Where to go next

This guide is the practice and the stock analysis track holds the theory behind each step. The second level covers the multiples in depth - EV/EBITDA, PEG, the quality of the earnings they rest on - and the third goes through discounted cash flow, the cost of capital and reverse DCF the way the Expert Analyst exam tests them. The Bulios Certification at the end of the track is the proof that you can value a company rather than quote a number for it.

Bulios Certification Four levels from Stock Analyst to Master Analyst. Valuation is the core of levels two and three. About the certification

Frequently asked questions

Which method should I use, multiples or DCF?

Both, for different questions. Multiples tell you whether the company is cheap or expensive against its peers and its past, quickly. A DCF tells you what growth and return the price assumes, and whether the whole group might be mispriced. When the two disagree, the disagreement is the finding - usually one of them is relying on an assumption worth checking.

What discount rate should I use?

The return you require for the risk: roughly 8 % for large, stable businesses, 9 to 10 % for a typical mid-sized company, 11 % and more for small, cyclical or indebted ones. The exact figure matters less than using the same scale for every company you compare, and than knowing that one point moves the value by 15 to 20 %.

Why does the DCF give almost the same number as the market price?

Because the inputs were close to what the market assumes - which is the point of running the model. Read backwards, a DCF reveals the growth and return baked into the price. The decision then rests on whether you believe those assumptions.

How large a margin of safety is enough?

Common practice for a stable business is a price 20 to 30 % below the central estimate, more for riskier ones. The margin is a cushion for the assumptions being wrong, so it should grow with how uncertain they are - a utility needs less of it than a company whose cash flow depends on a single product.

How does Fair Price fit in?

As the reference point that combines several of these methods into one estimate and a grade across the market. It shows the gap between price and estimated value. It does not set the margin of safety you require, and it is never a price target or a recommendation. Use it to find candidates and to check your own estimate against an independent one.

Does a cheap valuation mean the price will rise?

No. A gap between price and value can close slowly, or the value can fall to meet the price if the business deteriorates. Valuation tells you whether the price leaves room for error. The business, the balance sheet and the reasons the market might have for the discount tell you whether the room is real.

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