Applying Methods: Five Worked Examples
Valuation Methods — Lesson 9 of 10
Theory without practice is academic. This lesson applies the valuation methods covered in Lessons 2 through 8 to five different intangible assets, each valued using the method best suited to its characteristics. Each example includes the full calculation, the key assumptions, and the judgement points where professional expertise matters most.
The five examples use a single acquisition scenario — the purchase of Meridian Manufacturing Ltd for $250 million — to demonstrate how multiple methods work together in a purchase price allocation.
In a typical PPA, five or more intangible assets are identified and valued using different methods. The MPEEM is applied last (to the primary asset), after all other intangible assets have been valued using RFR, W&W, market, or cost approaches. The aggregate of all asset values, including goodwill, must equal the purchase price.
The Acquisition: Meridian Manufacturing Ltd
Meridian Manufacturing is a UK-based precision engineering company acquired by an industrial conglomerate for $250 million. The PPA identifies the following intangible assets:
Meridian Manufacturing — Identified Intangible Assets
| Asset | Method | Lesson Reference |
|---|---|---|
| Patent portfolio (12 granted patents) | RFR | Example 1 |
| Customer relationships (185 accounts) | MPEEM | Example 2 |
| Proprietary manufacturing technology | W&W | Example 3 |
| Meridian brand | RFR + Market | Example 4 |
| Assembled workforce (420 employees) | Cost | Example 5 |
| Net tangible assets | Book value | N/A |
Example 1: Patent Portfolio — Relief from Royalty
Meridian holds 12 granted patents covering precision machining processes. The patents have a weighted average remaining life of 8 years. Products covered by the patents generate annual revenue of $85 million.
Royalty rate selection: Comparable licensing agreements for industrial manufacturing patents (sourced from RoyaltyStat) show rates of 3-5% of net sales. Given Meridian's patents cover core manufacturing processes with limited substitutes, the valuer selects 4.5%.
Patent Portfolio RFR Calculation ($M)
| Year | Revenue | Royalty (4.5%) | Tax (25%) | After-Tax | PV (13%) |
|---|---|---|---|---|---|
| 1 | 85.0 | 3.83 | 0.96 | 2.87 | 2.54 |
| 2 | 87.6 | 3.94 | 0.99 | 2.96 | 2.32 |
| 3 | 89.3 | 4.02 | 1.01 | 3.02 | 2.09 |
| 4 | 90.1 | 4.05 | 1.01 | 3.04 | 1.86 |
| 5 | 89.2 | 4.01 | 1.00 | 3.01 | 1.63 |
| 6 | 86.5 | 3.89 | 0.97 | 2.92 | 1.40 |
| 7 | 82.0 | 3.69 | 0.92 | 2.77 | 1.17 |
| 8 | 76.0 | 3.42 | 0.86 | 2.57 | 0.96 |
| Total | 13.97 |
Pre-TAB value: $14.0 million. With TAB (10.5% uplift): $15.5 million.
Revenue declines in years 5-8 as certain patents approach expiry and competitors develop alternative processes. The discount rate of 13% reflects WACC (10%) plus a 3% premium for patent-specific risk (enforceability, design-around potential).
Example 2: Customer Relationships — MPEEM
Meridian has 185 active customer accounts generating $120 million in annual revenue. Historical analysis shows a 7% annual customer attrition rate. Customer relationships are identified as the primary intangible asset — the principal driver of Meridian's cash flows.
The MPEEM requires deducting contributory asset charges from total business cash flows.
Contributory Asset Charges — Year 1
| Contributory Asset | Fair Value ($M) | Return Rate | Annual Charge ($M) |
|---|---|---|---|
| Net working capital | 18.0 | 4% | 0.72 |
| Fixed assets (PP&E) | 45.0 | 8% | 3.60 |
| Patent portfolio | 15.5 | 13% | 2.02 |
| Brand | 18.2 (from Example 4) | 12% | 2.18 |
| Technology | 14.8 (from Example 3) | 14% | 2.07 |
| Assembled workforce | 8.5 (from Example 5) | 15% | 1.28 |
| Total charges | 11.87 |
MPEEM Summary — Customer Relationships ($M)
| Year | Business CF | Total CACs | Excess Earnings | Customer Survival | Adjusted Excess | PV (12%) |
|---|---|---|---|---|---|---|
| 1 | 24.6 | 11.9 | 12.7 | 100% | 12.7 | 11.3 |
| 2 | 25.3 | 11.4 | 13.9 | 93% | 12.9 | 10.3 |
| 3 | 25.8 | 11.0 | 14.8 | 87% | 12.9 | 9.2 |
| 5 | 25.0 | 10.3 | 14.7 | 75% | 11.0 | 6.2 |
| 8 | 22.1 | 8.8 | 13.3 | 57% | 7.6 | 3.1 |
| 12 | 18.5 | 7.2 | 11.3 | 38% | 4.3 | 1.1 |
| 15 | 16.0 | 6.3 | 9.7 | 29% | 2.8 | 0.5 |
| Total PV | 57.5 |
Pre-TAB value: $57.5 million. With TAB (9.8% uplift): $63.1 million.
The customer survival factor is critical. At 7% annual attrition, only 57% of the original customer base survives to year 8. By year 15, only 29% remains. This natural decay limits the projection period and ensures the valuation captures only the value of existing relationships — not future customer acquisition.
Example 3: Proprietary Manufacturing Technology — With and Without
Meridian has developed a proprietary precision manufacturing process that reduces production defect rates by 60% compared to standard industry methods. This technology is not patented (it is protected as a trade secret) and does not generate licensing revenue. The W&W method is appropriate because the technology's value is best understood by comparing Meridian's performance with and without it.
With and Without Scenarios ($M)
| Year | "With" EBITDA | "Without" EBITDA | Incremental EBITDA | After-Tax Incremental | PV (14%) |
|---|---|---|---|---|---|
| 1 | 35.0 | 29.0 | 6.0 | 4.5 | 3.95 |
| 2 | 36.1 | 29.5 | 6.6 | 5.0 | 3.82 |
| 3 | 37.0 | 30.2 | 6.8 | 5.1 | 3.44 |
| 4 | 36.5 | 30.5 | 6.0 | 4.5 | 2.66 |
| 5 | 35.0 | 30.0 | 5.0 | 3.8 | 1.95 |
| Total | 15.82 |
Key assumptions for "without" scenario:
- Defect rate increases from 2% to 5% (industry average), increasing rework costs
- Customer quality complaints increase, leading to 3% revenue loss over 3 years
- Management responds by investing in alternative quality controls, partially recovering by year 4
- Technology useful life of 5 years (trade secrets are vulnerable to independent discovery)
Pre-TAB value: $15.8 million. Probability-weighted (85% technology remains effective): $13.4 million. With TAB: $14.8 million.
Cross-Check: Replacement Cost
As a cross-check, the valuer estimates the cost to recreate the manufacturing technology: 3 years of R&D effort by a team of 8 engineers at fully-loaded costs of $150,000 per engineer per year, plus $1.5 million in testing and validation. Total replacement cost: $5.1 million. The significant gap between the replacement cost ($5.1M) and the income approach value ($14.8M) is expected — the cost approach measures what it costs to create, not what the technology is worth in use. The income approach correctly captures the economic value.
Example 4: Meridian Brand — RFR + Market Cross-Check
The Meridian brand is well-established in the precision engineering sector, recognised by procurement teams across aerospace, defence, and automotive industries. Brand-related revenue is $120 million (total company revenue).
RFR analysis: Comparable brand licensing agreements in industrial B2B sectors show rates of 1.5-3.0% of revenue. Given Meridian's strong reputation but niche market, the valuer selects 2.0%.
Brand RFR Summary
| Parameter | Value |
|---|---|
| Revenue base | $120M (year 1), growing 3% p.a. |
| Royalty rate | 2.0% |
| Useful life | Indefinite (with terminal value) |
| Discount rate | 11.5% (WACC + 1.5%) |
| Terminal growth rate | 2.0% |
| Tax rate | 25% |
| Pre-TAB value | $16.5M |
| With TAB | $18.2M |
Market cross-check: Brand Finance data for comparable mid-market industrial brands suggests brand values of 12-18% of annual revenue. Meridian's brand value of $18.2 million represents 15.2% of revenue — within the expected range.
The convergence between RFR ($18.2M) and the market benchmark range ($14.4-21.6M) provides confidence in the brand valuation. Had the RFR produced a value of $30 million (25% of revenue), the result would warrant re-examination of the royalty rate assumption.
Example 5: Assembled Workforce — Replacement Cost
Meridian employs 420 people. The assembled workforce is valued using the replacement cost method.
Workforce Replacement Cost Calculation
| Employee Category | Headcount | Recruitment | Training | Productivity Loss | Cost per Head | Total ($M) |
|---|---|---|---|---|---|---|
| Precision engineers | 85 | $18,000 | $25,000 | $15,000 | $58,000 | 4.93 |
| QA specialists | 12 | $12,000 | $15,000 | $10,000 | $37,000 | 0.44 |
| Sales & customer service | 45 | $10,000 | $8,000 | $12,000 | $30,000 | 1.35 |
| Production & support | 278 | $3,000 | $4,000 | $3,000 | $10,000 | 2.78 |
| Total | 420 | 9.50 |
Less: functional obsolescence (10% for typical turnover and skill gaps): ($0.95M)
Fair value of assembled workforce: $8.5 million.
Assembled workforce is explicitly excluded from identifiable intangible assets under IFRS 3 and ASC 805. It is valued separately because it serves as a contributory asset in the MPEEM calculation (Example 2). Its value ultimately flows into goodwill, not into a separately recognised balance sheet line item. This is a common source of confusion in PPA practice.
The Complete PPA
Meridian Manufacturing — Purchase Price Allocation Summary
| Asset | Fair Value ($M) | % of Purchase Price | Method |
|---|---|---|---|
| Net working capital | 18.0 | 7.2% | Book value |
| Fixed assets (PP&E) | 45.0 | 18.0% | Market approach |
| Patent portfolio | 15.5 | 6.2% | RFR |
| Customer relationships | 63.1 | 25.2% | MPEEM |
| Manufacturing technology | 14.8 | 5.9% | W&W |
| Meridian brand | 18.2 | 7.3% | RFR + Market |
| Assembled workforce | 8.5 | 3.4% | Cost (to goodwill) |
| Total identified assets | 183.1 | 73.2% | |
| Goodwill | 66.9 | 26.8% | Residual |
| Purchase price | 250.0 | 100.0% |
Goodwill of $66.9 million (26.8% of the purchase price) captures synergies, the assembled workforce value, market position, and other value not attributable to identifiable assets. This is within the typical range for industrial acquisitions (20-35% goodwill).
What Comes Next
In Lesson 10: Valuation in Context, we examine how the purpose of a valuation — transfer pricing, PPA, impairment testing, tax compliance — changes the method selection, the assumptions, and sometimes the answer.
Tony Hillier is an advisor to Opagio with over 30 years of experience in structured finance, valuation, and due diligence across private equity and corporate transactions. Meet the team.