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DCF — Intrinsic Value

Discounted Cash Flow — the theoretically 'correct' approach

Discounted Cash Flow (DCF) analysis is the theoretically rigorous way to value any cash-generating asset. The premise: a business is worth the present value of all the cash it will generate in the future, discounted back to today at a rate that reflects the risk and the time value of money. Every other valuation method — multiples, comparables, asset-based — is a shortcut to the same answer. DCF is what professional investors and corporate finance teams build models around. It's also where most beginners go wrong, because the output is exquisitely sensitive to small changes in input assumptions.

CONCEPT

The core idea — present value and the time value of money

\$100 today is worth more than \$100 next year. You could invest today's \$100 at the risk-free rate (Treasuries) and have ~\$104 next year. So receiving \$100 in one year is equivalent to receiving \$96-97 today (depending on the rate). DCF generalizes this: every dollar of expected future cash flow is 'discounted' back to its present-value equivalent at the discount rate, then summed. The reflects two things: opportunity cost (what you could earn on the next-best alternative) and risk (the higher the risk, the higher the rate). For corporate DCF, the discount rate is typically the firm's .

Equation · The DCF process — six steps

Step 1: Project FCF for 5-10 explicit years.Use historical FCF as the starting point; apply growth assumptions for the explicit-projection period.Step 2: Calculate {{terminal value|The value of all cash flows beyond the explicit projection period, captured in a single terminal-year number.Typically computed as Year-N FCF × (1 + perpetual growth) ÷ (WACC − perpetual growth).Often the largest component of total DCF value}} for cash flows beyond year 10.Standard formula:

T V = (F C F_{y e a r 10} \times (1 + g)) \div (W A C C - g)

, where g is the perpetual growth rate (long-run, conservative — typically 2-3%, never above the long-run GDP growth rate).Step 3: Discount each year's FCF and the terminal value back to present value using the WACC.

P V = F C F / (1 + W A C C)^{t}

for each year t.Step 4: Sum all the

P V s = E n t er p r i se V a l u e (D C F es t ima t e)

Step 5: Subtract net debt

= E q u i t y V a l u e

Step 6: Divide by diluted shares outstanding

=

intrinsic value per share.

Two structural facts every DCF user should internalize. First, terminal value usually accounts for 60-80% of total DCF value. The explicit 5-10 year projections feel important; in reality, the value lives in the assumed long-run growth and discount rates that determine terminal value. Be skeptical of any DCF whose terminal-value share is below 40% (probably under-modeled) or above 90% (probably over-modeled). Second, DCF outputs are extremely sensitive to inputs. Changing the discount rate from 10% to 9% can shift value 25-40%. Changing terminal growth from 2% to 3% can shift it 30-50%. The output is therefore a RANGE, not a point estimate. Run sensitivity analysis across plausible inputs and see what range of fair-value estimates emerges. Damodaran's NYU Stern lecture series has the most rigorous public treatment of DCF for those who want depth.

CONCEPT

Margin of safety — Graham's key principle for DCF use

Because DCF outputs depend on uncertain assumptions, even a careful analyst's estimate is approximate. Benjamin Graham's solution, articulated in *Security Analysis* (1934) and *The Intelligent Investor* (1949), is the : only buy when the market price is materially below your estimated intrinsic value. If DCF says \$100, buy at \$70-\$80 (20-30% margin of safety). The wider the margin, the less precision the model needs to work. The principle is the foundation of value investing as a discipline — Buffett has called margin of safety 'the three most important words in investing.' For DCF specifically, margin of safety is the protection against being wrong about the assumptions; the larger your humility about precision, the wider the margin you should require.

INTERACTIVE

Mini DCF Builder — see how assumptions drive value

Adjust growth, discount rate, and terminal growth. Watch how the intrinsic value moves with small changes. The sensitivity is exactly why margin of safety matters — and why DCF should produce a range rather than a single number.

REAL DATA

A worked DCF example — simple-case Apple intrinsic value

A simplified Apple DCF illustrates the mechanics. Inputs: FY2024 FCF ~\$109B; growth assumption 6% per year for 10 years (slowing to perpetual growth of 2.5% thereafter); WACC 9%; net debt ~\$42B; diluted shares ~15.4B. Build the explicit-period FCF projections: \$109B → \$116B → \$123B ... → \$185B by year 10. Discount each back to present at 9%. Compute terminal value: \$185B × 1.025 ÷ (0.09 − 0.025) = \$2,914B (raw); discount that back from year 10 at 9% = \$1,231B. Sum the explicit-period PVs (~\$770B) plus discounted terminal (\$1,231B) = ~\$2,000B Enterprise Value. Subtract net debt (\$42B) = \$1,958B Equity Value. Divide by 15.4B shares = ~\$127 per share intrinsic value. Compare to current price (~\$200 in 2024) — the DCF suggests Apple may be trading above intrinsic value at 6% growth assumption. Sensitivity: change growth to 8% per year and intrinsic shifts to ~\$165; change WACC to 8% and it shifts to ~\$155. The DCF range is roughly \$120-180 per share depending on assumptions — and the current ~\$200 price requires either higher growth or a lower discount rate to support. The discipline is recognizing that a market price above your DCF range demands either better assumptions OR caution.

FY2024 FCF starting point

~\$109B

Assumed 10-year growth

6% per year

Assumed perpetual growth

2.5%

Assumed WACC

Implied intrinsic value

~\$127 per share (mid-case)

Sensitivity range

~\$120-180 across plausible inputs

CONCEPT

Where to see this on the platform

The Valuation tab on every stock page runs a DCF with sensible default assumptions and shows the intrinsic-value estimate alongside current market price. Click into the DCF model to see the assumptions; you can adjust growth, WACC, and terminal growth to see how the intrinsic value moves. The Insights tab adds context on which assumptions are most consequential for each company. For deepest rigor, Damodaran's downloadable spreadsheets at NYU Stern (pages.stern.nyu.edu/~adamodar) implement the academic-standard DCF framework with industry-appropriate adjustments.

WARNING

DCF traps — the false-precision trap and the input-anchoring trap

DCF outputs feel precise because they're derived from explicit math. They aren't. The output is a rough estimate at best, sensitive to plausible variations in inputs, and shouldn't be treated as the truth. Two specific traps. First: false precision. A DCF saying intrinsic value is \$127.43 per share invites overconfidence; the honest output is 'roughly \$120-180 across plausible assumptions.' Second: input anchoring. Most analysts inadvertently set inputs that produce intrinsic values close to current market price, then declare 'fair value.' Test for this by computing the DCF first with a CONSERVATIVE set of inputs (lower growth, higher WACC), then with an OPTIMISTIC set, and seeing whether the current price is above the optimistic case. If yes, your conservative-DCF discipline is telling you to wait or pass. If the price is below the conservative case, the discipline is telling you to lean in.

In our view, what an investor needs is the ability to correctly evaluate selected businesses. Note the word selected: you don't have to be an expert on every company, or even many. You only have to be able to evaluate companies within your circle of competence. The size of that circle is not very important; knowing its boundaries, however, is vital.

— Warren Buffett, Berkshire Hathaway 1996 chairman's letter (paraphrased; on circle of competence as the foundation of valuation)

CONCEPT

Summary

DCF is the theoretically rigorous valuation framework. A business is worth the present value of all future cash flows, discounted at a rate reflecting time value and risk.
Six-step DCF: project FCF, compute terminal value, discount everything to present, sum, subtract net debt, divide by shares.
Terminal value typically accounts for 60-80% of total DCF — long-run assumptions matter more than near-term projections.
Outputs are exquisitely sensitive to inputs (growth, WACC, terminal growth). DCF produces a RANGE, not a point estimate.
Graham's margin of safety: only buy when market price is materially below intrinsic value. Wider margin requires less model precision.
Two traps: false precision (treating output as exact); input anchoring (unconsciously calibrating to market price).
Buffett's circle of competence applies: DCF is only useful where you can credibly forecast multi-year FCF, which requires understanding the business deeply.

DCF — Intrinsic Value

Discounted Cash Flow — the theoretically 'correct' approach

CONCEPT

The core idea — present value and the time value of money

Equation · The DCF process — six steps

T V = (F C F_{y e a r 10} \times (1 + g)) \div (W A C C - g)

P V = F C F / (1 + W A C C)^{t}

for each year t.Step 4: Sum all the

P V s = E n t er p r i se V a l u e (D C F es t ima t e)

Step 5: Subtract net debt

= E q u i t y V a l u e

Step 6: Divide by diluted shares outstanding

=

intrinsic value per share.

CONCEPT

Margin of safety — Graham's key principle for DCF use

INTERACTIVE

Mini DCF Builder — see how assumptions drive value

REAL DATA

A worked DCF example — simple-case Apple intrinsic value

FY2024 FCF starting point

~\$109B

Assumed 10-year growth

6% per year

Assumed perpetual growth

2.5%

Assumed WACC

Implied intrinsic value

~\$127 per share (mid-case)

Sensitivity range

~\$120-180 across plausible inputs

CONCEPT

Where to see this on the platform

WARNING

DCF traps — the false-precision trap and the input-anchoring trap

In our view, what an investor needs is the ability to correctly evaluate selected businesses. Note the word selected: you don't have to be an expert on every company, or even many. You only have to be able to evaluate companies within your circle of competence. The size of that circle is not very important; knowing its boundaries, however, is vital.

— Warren Buffett, Berkshire Hathaway 1996 chairman's letter (paraphrased; on circle of competence as the foundation of valuation)

CONCEPT

Summary

DCF is the theoretically rigorous valuation framework. A business is worth the present value of all future cash flows, discounted at a rate reflecting time value and risk.
Six-step DCF: project FCF, compute terminal value, discount everything to present, sum, subtract net debt, divide by shares.
Terminal value typically accounts for 60-80% of total DCF — long-run assumptions matter more than near-term projections.
Outputs are exquisitely sensitive to inputs (growth, WACC, terminal growth). DCF produces a RANGE, not a point estimate.
Graham's margin of safety: only buy when market price is materially below intrinsic value. Wider margin requires less model precision.
Two traps: false precision (treating output as exact); input anchoring (unconsciously calibrating to market price).
Buffett's circle of competence applies: DCF is only useful where you can credibly forecast multi-year FCF, which requires understanding the business deeply.