01 / Learn the method
Learning outcomes
Turn a valuation multiple into an equity purchase-price range. Calculate the result, reconcile it and communicate its limitations.
Method
Enterprise value values the defined operations; the equity bridge applies the transaction’s definitions of cash, debt and debt-like items. Not every balance-sheet liability is automatically debt-like. Prevent double counting where a liability already sits in a working-capital adjustment.
Smaller worked example
In a separate transaction, EV $10m plus eligible cash $1m less debt $3m gives equity value $8m before other agreed adjustments.
02 / Put it to work
Business context and rules
Fictional Elm Industries, valuation at 30 September 2026; all model amounts USD thousands. EBITDA 2,000; valuation range 5x-7x. Eligible unrestricted cash 500; restricted cash 200 is excluded. Bank debt 3,000; seller transaction bonus 150 is debt-like. Lease liabilities 400 are included as debt-like under this case’s agreed convention and matching multiple basis. Trade AP 700 remains in normal working capital and is not debt-like. Working-capital shortfall versus the agreed target is 100 and reduces equity value. No other adjustments or transaction fees. These definitions are supplied assumptions, not market benchmarks.
Original synthetic inputs
| Input | Value | Unit |
|---|---|---|
| Reference EBITDA | 2000 | USD thousands |
| Low EV / EBITDA multiple | 5 | multiple |
| High EV / EBITDA multiple | 7 | multiple |
| Eligible cash | 500 | USD thousands |
| Excluded restricted cash | 200 | USD thousands |
| Bank debt | 3000 | USD thousands |
| Seller transaction bonus | 150 | USD thousands |
| Agreed debt-like lease liability | 400 | USD thousands |
| Normal trade AP (no bridge adjustment) | 700 | USD thousands |
| Working-capital shortfall | 100 | USD thousands |
Required deliverables
Deliver the EV-to-equity range, an inclusion / exclusion register for every balance-sheet item and three diligence questions about eligibility, double counting or EBITDA comparability.
Use formulas for derived amounts and preserve source data. Put narrative deliverables in the workbook response area; expand it as needed. Compare amounts within 0.01 of the stated unit and percentages within 0.1 percentage point. No unsupported balancing plugs.
03 / Review your work
Try the assignment before opening the answer.
Open the worked answer and teaching notes
Worked numerical schedule
| Measure | Value | Unit |
|---|---|---|
| Low enterprise value | 10,000.00 | USD thousands |
| High enterprise value | 14,000.00 | USD thousands |
| Debt and debt-like deductions | 3,550.00 | USD thousands |
| Low equity value | 6,850.00 | USD thousands |
| High equity value | 10,850.00 | USD thousands |
| Low bridge residual | 0.00 | USD thousands |
Interpretation and recommended actions
EV is $10m-$14m and equity value $6.85m-$10.85m. Eligible cash adds $0.5m, debt and debt-like items subtract $3.55m and the working-capital shortfall subtracts $0.1m. Restricted cash and normal AP have no separate bridge adjustment under the supplied definitions. Confirm restricted-cash release terms, bonus settlement responsibility and consistent lease treatment in EBITDA / multiples before using this with real transaction data.
Scoring rubric - 100 points
| Dimension | Points | Awarding guidance |
|---|---|---|
| Calculation | 40 | EV range 12; item classifications and bridge arithmetic 20; range and check 8. |
| Interpretation | 25 | Correct application of the case rules 10; explain the business decision 10; identify evidence or limitations 5. |
| Controls / audit trail | 20 | Traceable formulas 8; independent reconciliation 8; explicit units and signs 4. |
| Communication | 15 | Decision and numerical headline 5; actions with owners and evidence 5; concise response covering all required deliverables 5. |
Award method credit after an isolated arithmetic error rather than repeatedly deducting for it. Equivalent account labels and well-supported alternative recommendations are acceptable. Numerical tolerance is 0.01 in the stated units; no universal passing score is prescribed.
Common mistakes
Adding restricted cash; deducting AP twice; mixing thousands with whole dollars; assuming lease treatment is universal.
Staged hints
Create an explicit treatment for every item before summing. The equity-value range has the same width as EV when bridge adjustments are fixed.
Instructor notes
Prerequisites: Balance sheet and EV / EBITDA. Suggested use of the estimated 45-60 minutes: spend roughly 15% on the lesson and smaller example, 55% on the independent task, 20% on comparing approaches and 10% on the decision discussion. Timing is untested. Ask learners to explain why the numerical check is necessary but not sufficient.
For a simpler class, provide the model structure and work through one driver. For an extension, change one operational assumption and require a new reconciliation and recommendation. Verify the new key before distributing any variant. Open files in the intended spreadsheet application before class. Solutions are learning resources, not secure hiring examinations. Expert review remains pending.
Continue this learning path
IBA-02 · Value a Business with DCF and Trading Comps
IBA-03 · Should We Buy It? An Acquisition Investment Case
AI-assisted synthetic teaching case. Expert review and native Excel / Sheets testing pending.