2.2.5 · 40–60 minutes · read, calculate, discuss, review
What you will learn
- Build unlevered free cash flow and a simplified WACC.
- Calculate explicit and terminal present values.
- Bridge enterprise value to a share estimate.
2.2 · Valuation
Valuation

Valuation · the work you will do
- 1Define the cash flow
- 2Make assumptions explicit
- 3Estimate a range
- 4Compare with price
Before you begin
A junior analyst adds a £204m terminal value directly to today’s value. The terminal figure belongs at year 3. What is missing?
Write your first response before continuing.
Video coming soon · about 4 minutes
Discounted Cash Flow: Part 2
Use the narration below while the recording is being made, then try the decisions in this lesson.
Read the full narration
Welcome to On Judgement. A junior analyst adds a £204m terminal value directly to today’s value. The terminal figure belongs at year 3. What is missing? Take a first view. You can change it when you have considered the evidence.
The simplified unlevered bridge is EBIT × (1−operating tax rate) + depreciation/amortisation − capex − increase in operating working capital. Do not deduct interest in this bridge when financing is reflected through WACC. The increase in working capital is a use of funds. Check tax, leases and other adjustments in real cases; this teaching model excludes those complications explicitly.
A simplified cost of equity can use a risk-free proxy plus beta times an equity risk premium. Beta describes sensitivity to market returns, not every dimension of risk. Blend equity cost and after-tax debt cost using compatible market-value financing weights. The result is an assumption, not a permanent property of a company. The cash-flow currency and nominal/real basis must match the rate.
For the teaching perpetuity, terminal value at year N = FCF in year N × (1+g)/(r−g), requiring r>g. It is an endpoint value, then discounted to today. Long-run growth needs sustaining investment and plausible economics; it is not free growth from nothing. A large terminal contribution means the model depends heavily on distant assumptions and deserves explicit scrutiny.
Sum explicit-year present values and discounted terminal value for the enterprise operating estimate. Subtract defined debt and other relevant claims, and add excess cash or other separately valued assets consistently. Divide by the appropriate shares. Avoid subtracting debt twice or adding operating cash already captured in value. Round outputs sensibly, keep full precision in workings, and inspect the share count.
Let's work through Harbour’s original three-year DCF · £m. Assume end-year FCFF 12, 14 and 16 for years 1–3; WACC 10%; terminal growth 2%; debt 50; excess cash 30; 20m shares. No other claims/assets. These are hypothetical forecasts, not reported cash or a market recommendation. Pause here and try the calculation or reasoning before continuing.
PV explicit cash = 12/1.10 + 14/1.10² + 16/1.10³ = £34.500m. Year-3 terminal value = 16 × 1.02/(.10−.02) = £204m. PV terminal = 204/1.10³ = £153.268m. EV = 34.500 + 153.268 = £187.769m. Equity = 187.769 − 50 + 30 = £167.769m. Per share = 167.769/20 = £8.388, about £8.39.
About 81.6% of EV is the terminal present value. The model depends strongly on long-run assumptions; the £8 observed price is close to this base estimate, not automatically a large margin of safety.
Now try the choices in this lesson. If your answer changes, identify the reason. Bridge enterprise value to a share estimate. Use the case activities to put the idea into your own words, and return to the evidence when more than one conclusion is defensible.
Build operating cash consistently
The simplified unlevered bridge is EBIT × (1−operating tax rate) + depreciation/amortisation − capex − increase in operating working capital. Do not deduct interest in this bridge when financing is reflected through WACC. The increase in working capital is a use of funds. Check tax, leases and other adjustments in real cases; this teaching model excludes those complications explicitly.
Set the required return
A simplified cost of equity can use a risk-free proxy plus beta times an equity risk premium. Beta describes sensitivity to market returns, not every dimension of risk. Blend equity cost and after-tax debt cost using compatible market-value financing weights. The result is an assumption, not a permanent property of a company. The cash-flow currency and nominal/real basis must match the rate.
Value later cash flows
For the teaching perpetuity, terminal value at year N = FCF in year N × (1+g)/(r−g), requiring r>g. It is an endpoint value, then discounted to today. Long-run growth needs sustaining investment and plausible economics; it is not free growth from nothing. A large terminal contribution means the model depends heavily on distant assumptions and deserves explicit scrutiny.
Finish the claim bridge
Sum explicit-year present values and discounted terminal value for the enterprise operating estimate. Subtract defined debt and other relevant claims, and add excess cash or other separately valued assets consistently. Divide by the appropriate shares. Avoid subtracting debt twice or adding operating cash already captured in value. Round outputs sensibly, keep full precision in workings, and inspect the share count.
Harbour’s original three-year DCF · £m
What drives this DCF?
Where is most of the estimated value, and what does that imply for your scrutiny?
Assume end-year FCFF 12, 14 and 16 for years 1–3; WACC 10%; terminal growth 2%; debt 50; excess cash 30; 20m shares. No other claims/assets. These are hypothetical forecasts, not reported cash or a market recommendation.
- PV explicit cash = 12/1.10 + 14/1.10² + 16/1.10³ = £34.500m.
- Year-3 terminal value = 16 × 1.02/(.10−.02) = £204m.
- PV terminal = 204/1.10³ = £153.268m.
- EV = 34.500 + 153.268 = £187.769m. Equity = 187.769 − 50 + 30 = £167.769m.
- Per share = 167.769/20 = £8.388, about £8.39.
About 81.6% of EV is the terminal present value. The model depends strongly on long-run assumptions; the £8 observed price is close to this base estimate, not automatically a large margin of safety.
Put it into practice
1. Build one year’s FCFF
Use forecast EBIT 41.6, operating tax 25%, depreciation 6, capex 18 and increase in operating working capital 7.2. Calculate FCFF.
Record your response in your workbook before opening feedback.
Compare with a model response
41.6 × .75 + 6 − 18 − 7.2 = £12m. Interest is not deducted in this unlevered bridge.
2. Calculate WACC
Assume cost of equity 12%, pre-tax debt cost 5.333333%, tax 25%, and market-value weights 75% equity / 25% debt. Calculate WACC.
Record your response in your workbook before opening feedback.
Compare with a model response
After-tax debt cost is approximately 4%; WACC = .75 × 12% + .25 × 4% = 10%. These weights and rates are invented teaching inputs, separate from current book balances.
3. Audit terminal timing
Explain the error in using £204m as a present value and then subtracting debt.
Record your response in your workbook before opening feedback.
Compare with a model response
£204m is at year 3. Discount it once to £153.268m, add explicit PV £34.500m, then apply the claim bridge. Omitting the discount overstates EV by about £50.732m.
Jargon buster
NOPAT
Net operating profit after the stated operating tax adjustment.
Beta
Sensitivity of returns to a specified market return series.
Capital weights
The debt/equity proportions used in the cost-of-capital calculation.
Terminal value
An estimate at the end of the explicit forecast period.
Perpetuity growth
The assumed sustainable growth rate after that period.
Excess cash
Cash treated separately from operating value under the model’s assumptions.
Knowledge check
Make each choice on the page. Feedback explains the reasoning. Use Try again after revisiting an idea.
AQA connection and further reading
AQA 7138 connections: 3.1.4 financial management, 3.3.3 strategy/investment appraisal, 3.3.4 change and uncertainty; Annex 6 quantitative interpretation; AO2–AO4 application, analysis and evaluation. Enterprise DCF, WACC, trading multiples and SOTP are investing enrichment, not prescribed AQA company-valuation methods.
AQA 7138 specification
Primary curriculum mapping; teacher interpretation, not endorsement.
IAS 7 overview · IFRS Foundation
Accounting classification context. Presentation changes and effective/adoption dates must be checked for real reports.
Free Cash Flow Valuation · CFA Institute
Technical cross-check for consistent claims and valuation formulas; advanced optional reading.
Introduction to Valuation · Aswath Damodaran, NYU
Optional deeper reading on valuation approaches.
Take forward
Build unlevered free cash flow and a simplified WACC. Calculate explicit and terminal present values. Bridge enterprise value to a share estimate.