canonical/modules/M046-dcf-from-first-principles.md

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<!-- Module: 046 | Title: DCF from First Principles -->

## PART X - VALUATION | MODULE 046

# DCF from First Principles

> Mission. Value the operating asset base using explicit cash flows, reinvestment, terminal economics, and transparent discounting.

## Decision output

Objective: Value the operating asset base using explicit cash flows, reinvestment, terminal economics, and transparent discounting. The completed work product must be reproducible from evidence, show the downstream financial or decision effect when material, state the strongest contrary case, and define a dated update rule.

## Explicit operating procedure

1. Forecast FCFF from operating drivers: NOPAT plus noncash operating charges less fixed-asset, working-capital, and other operating reinvestment. Do not start from a target multiple.

1. Set the explicit forecast horizon long enough for key growth, margin, capital intensity, and competitive advantages to move toward a defensible steady state.

1. Estimate cost of capital using market-value capital weights and risk inputs consistent with the cash-flow currency, business risk, and leverage; avoid arbitrary premia or double counting.

1. Discount cash flows using timing appropriate to the valuation date, including stub periods and midyear convention when cash is earned through the year.

1. Make terminal economics internally consistent: terminal growth requires reinvestment when returns are finite, and terminal ROIC should reflect mature competitive economics.

1. Reconcile terminal value to an implied multiple and complete the enterprise-to-equity bridge for debt, leases/debt-like claims, pensions, preferred, minority interests, excess cash, investments, options/awards, convertibles, and other material claims.

## Required evidence and model bridge

- Primary-source set: normalized forecasts, capital structure, market data, peer definitions, scenario assumptions. Preserve exact document/version, date, period, and source location for every material factual input used in dcf from first principles.

- For each key concept - normalized FCFF, WACC, explicit horizon, midyear convention, reinvestment, ROIC fade - state whether it is a reported fact, analyst calculation, management claim, external estimate, or judgment. Quantitative concepts must retain raw components and units; qualitative concepts must retain the specific evidence and counterevidence.

- Map only economically relevant findings into the model or decision record. Process-control modules such as dcf from first principles may have no direct valuation line; in that case document the downstream error or governance risk the control prevents.

## Metrics and calculation controls

| Metric / concept | Construction | Required validation |
| --- | --- | --- |
| FCFF | FCFF = EBIT x (1 - cash tax rate) + D&A - capex - change in NWC - other required operating investment | FCFF: Recalculate FCFF from cited inputs; reconcile definition, period, units, signs, and source version; investigate and document any variance before use. |
| WACC | WACC = E/(D+E) x cost of equity + D/(D+E) x after-tax cost of debt | WACC: Recalculate WACC from cited inputs; reconcile definition, period, units, signs, and source version; investigate and document any variance before use. |
| g=reinvestment x ROIC | ROIC = NOPAT / average invested capital | g=reinvestment x ROIC: Recalculate g=reinvestment x ROIC from cited inputs; reconcile definition, period, units, signs, and source version; investigate and document any variance before use. |
| terminal value concentration | Present value of terminal value divided by total enterprise value in the DCF. | terminal value concentration: Recalculate from same-scope numerator and denominator; confirm period, units, cohort/geography, and issuer definition; reconcile material differences to filings or operating data. |



## DCF from first principles laboratory

- Build FCFF from operating economics, not from a shortcut EBITDA multiple: NOPAT + noncash operating charges - reinvestment in fixed assets, working capital, and other operating assets.

- Estimate cost of capital using current market value weights and risk inputs that match currency and cash-flow risk. Do not add arbitrary company-specific premia without explaining double counting.

- Use midyear discounting when cash flows occur through the year. For a stub period, discount by actual fraction of year rather than pretending the valuation date is fiscal year-end.

- Terminal consistency is mandatory. If terminal growth is 3% and terminal ROIC is 12%, the implied reinvestment rate is 25%. A model that assumes 3% perpetual growth with zero reinvestment and finite ROIC is internally inconsistent.

- Reconcile terminal value using both perpetuity-growth economics and an implied terminal multiple. If the implied multiple is implausible versus mature economics, revisit the operating assumptions.

- Complete the EV-to-equity bridge with debt, leases/debt-like claims, pension deficits, minority interests, non-operating investments, excess cash, preferred claims, options/awards, convertibles, and other material claims.

## Worked application

> Case: 3% terminal growth requires reinvestment if terminal ROIC is finite.

- Reconstruct the relevant reported fact from primary evidence before interpreting the case. For dcf from first principles, show the raw components rather than only the resulting ratio or narrative.

- Build the causal chain through normalized FCFF, WACC, explicit horizon, midyear convention, then identify which link is directly observed and which link remains an assumption.

- Calculate FCFF, WACC, g=reinvestment x ROIC, terminal value concentration from sourced components under the reported/base interpretation and at least one skeptical alternative interpretation.

- Translate the difference between cases into the variable that matters for dcf from first principles: evidence quality, revenue, operating profit/NOPAT, free cash flow, invested capital, financing/dilution, risk, or valuation. Mark non-applicable links instead of inventing them.

- Expert consistency test: make terminal growth, reinvestment, returns, and discounting mathematically consistent.

- Precommit the specific future filing, KPI, customer/supplier observation, regulator action, or market input that would materially invalidate the dcf from first principles conclusion.

## Failure tests

- FAIL if normalized FCFF cannot be defined and reproduced from the source pack.

- FAIL if terminal growth, reinvestment, mature returns, discount rate, timing, enterprise-to-equity bridge, or dilution are internally inconsistent or unsupported.

- FAIL if the dcf from first principles conclusion depends on an unstated assumption, unreconciled definition, or evidence that cannot be traced to its source/version.

- FAIL if evidence materially inconsistent with the dcf from first principles conclusion is omitted, reclassified, or dismissed without a documented definition, materiality, causal, timing, and source-quality analysis.

## Completion test

A senior reviewer must be able to reproduce the dcf from first principles conclusion, vary the most sensitive assumption independently, trace the change through the model, understand the strongest opposing case, and identify the next evidence that would force an update. If any link is missing, the module remains open.