A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Free Cash Flow and DCF Valuation

Graduate Depth 119 in the knowledge graph ☐ I know this ☆ Set as goal
5topics build on this
884prerequisites beneath it
See this on the map →
Cost of Equity and CAPM ApplicationFinancial Statement Analysis for Valuation+3 more→→Enterprise Value and Valuation Multiples
equity-valuation dcf cash-flow

Core Idea

Free cash flow (FCF) is cash available after capital expenditures and working capital changes. DCF valuation projects future FCF and discounts at the cost of equity to find intrinsic value, providing a theoretically rigorous equity valuation method.

How It's Best Learned

Start with a simple 5-year projection and terminal value using a constant growth model. Compare FCF-based values to market prices to identify mispricing.

Common Misconceptions

Explainer

From present value and discounting, you know that a dollar received in the future is worth less than a dollar today, and the further away it is, the steeper the discount. From CAPM, you know how to estimate the cost of equity — the rate of return shareholders require given the riskiness of the stock. DCF valuation is the application of these ideas to equity: the intrinsic value of a stock is the present value of all future cash flows it will generate, discounted at the appropriate risk-adjusted rate.

The first and most important distinction is between free cash flow and accounting earnings. Net income includes non-cash charges (like depreciation) and excludes real cash outflows (like capital expenditures). A company that reports $100M in net income but needs to spend $80M on new equipment and $20M on working capital to sustain its growth has generated nothing for shareholders — it has no free cash flow. Free cash flow strips away accounting artifacts and asks: after maintaining and growing the business, how much actual cash is left? FCF = Net Income + Depreciation − Capital Expenditures − Increase in Working Capital. Sometimes it is calculated from operating cash flow (starting from EBITDA or EBIT after taxes) rather than from net income, but the concept is the same: residual cash available to equity holders after all reinvestment needs are met.

A DCF model takes three inputs: (1) projected FCF for a forecast period (typically 5–10 years), (2) a terminal value representing all cash flows after the forecast period, and (3) the discount rate (cost of equity from CAPM, or WACC if valuing the whole firm). The terminal value is usually estimated using the Gordon Growth Model: TV = FCF_(n+1) / (r − g), where g is the long-run sustainable growth rate. Each year's FCF is then discounted back to today and summed with the discounted terminal value to produce intrinsic value per share.

The unsettling implication is how sensitive the result is to assumptions. A small change in the terminal growth rate g from 3% to 4%, or in the discount rate r from 9% to 8%, can change the valuation by 20–40%. This is not a bug but a feature: it tells you that most of a growing company's value lies in its terminal value — the cash flows beyond the forecast horizon — and small changes in long-run assumptions matter enormously. The discipline of DCF is less about computing a precise number and more about making your assumptions explicit and stress-testing them. A "sensitivity table" showing valuations across a matrix of r and g values is standard practice precisely because no one has high confidence in a single set of inputs.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Center of Mass → Conservation of Linear Momentum → Elastic Collisions → Inelastic Collisions → Coefficient of Restitution → Collision Analysis and Real-World Applications → Two-Body Collisions in the Center-of-Mass Frame → Reduced Mass and Two-Body Problems → Kinematics in Two Dimensions → Projectile Motion → Circular Motion: Kinematics → Simple Harmonic Motion → Introduction to Differential Equations → Solow Growth Model → Capital Accumulation and the Golden Rule → Investment Demand and Capital Formation → Aggregate Demand → The AS-AD Model → Business Cycles → Monetary Policy Tools → Term Structure of Interest Rates → Risk and Return Tradeoff → Expected Return and Variance of Financial Assets → Portfolio Diversification → Mean-Variance Optimization (Markowitz Framework) → Efficient Frontier and Capital Market Line → Capital Asset Pricing Model (CAPM) → Cost of Equity and CAPM Application → Weighted Average Cost of Capital (WACC) → Free Cash Flow and DCF Valuation

Longest path: 120 steps · 884 total prerequisite topics

Prerequisites (5)

Leads To (1)