Difficulty: Intermediate | Prerequisites: Equity method basics, fair value concepts, consolidation overview
When a parent company buys a controlling stake in a subsidiary, the price paid almost always exceeds the subsidiary's book value. The difference (the "excess") must be allocated to specific undervalued assets and, if anything remains, to goodwill. That allocation then drives annual amortisation charges that reduce the parent's equity-method income and appear as adjustments in every subsequent consolidation. If you do not nail this step, every entry downstream is wrong.
This set of notes covers the Penguin-Star acquisition (70% ownership, equity method) and walks through the acquisition analysis, excess allocation, and multi-year amortisation schedule that feeds into the CEADI consolidation entries.
Penguin paid $2,300,000 for 70% of Star on 1 January 2021. Combined with the $875,000 fair value of the noncontrolling interest, the total implied fair value of Star was $3,175,000 against book value of $2,250,000, leaving a $925,000 excess. That excess is allocated to equipment, a customer list, a patent, and goodwill. Annual amortisation of the identifiable excess totals $68,000 per year and must be recorded every period under both the equity method and in consolidation.
Acquisition-date fair value (implied FV)
The total fair value of the acquired entity, calculated as the price the parent paid plus the fair value of the noncontrolling interest (NCI). In simple terms, it is what the whole company is "worth" at the purchase date, not just the part the parent bought.
Excess of cost over book value (the "excess")
The difference between the acquisition-date fair value and the subsidiary's book value of equity. Think of it as the premium paid for assets that the subsidiary's books understate, plus any goodwill.
Noncontrolling interest (NCI)
The portion of a subsidiary's equity not owned by the parent. In this problem, NCI = 30% of Star. At acquisition, the NCI is recorded at its own fair value ($875,000), not simply 30% of book value.
Goodwill
The residual excess after all identifiable assets and liabilities have been revalued to fair value. It is not amortised under US GAAP (though it is tested annually for impairment). In simple terms, goodwill is the amount you cannot pin to any specific asset.
Amortisation of excess
The systematic write-down of the fair value adjustments to identifiable assets over their remaining useful lives. Each year's charge reduces equity-method income and appears as a consolidation adjustment.
Equity method
The accounting method a parent uses on its own (pre-consolidation) books to track its investment in a subsidiary. The investment account is adjusted for the parent's share of the subsidiary's income, dividends, amortisation of excess, and intercompany profit deferrals.
Penguin purchased 70% of Star on 1 January 2021 for $2,300,000
Fair value of NCI at acquisition = $875,000
Total implied fair value of Star = $2,300,000 + $875,000 = $3,175,000
Book value of Star's equity at acquisition = $2,250,000
Total excess = $3,175,000 − $2,250,000 = $925,000
The excess is allocated to identifiable undervalued assets first. Whatever remains becomes goodwill.
Asset | FV Adjustment | Useful Life | Annual Amortisation |
|---|---|---|---|
Equipment | $200,000 | 25 years | $8,000 |
Customer list | $175,000 | 5 years | $35,000 |
Patent | $250,000 | 10 years | $25,000 |
Goodwill | $300,000 | Indefinite | $0 |
Total | $925,000 | $68,000 |
Total identifiable excess = $625,000 ($200K + $175K + $250K)
Goodwill = total excess less identifiable = $925,000 − $625,000 = $300,000
Annual amortisation of identifiable excess = $68,000
Goodwill does not always split proportionally when the parent pays a control premium. Work it out by comparing what each party paid against their share of identifiable fair value:
Fair value of identifiable net assets = BV $2,250,000 + identifiable excess $625,000 = $2,875,000
Parent's 70% share of identifiable FV = $2,012,500
Goodwill attributable to parent = $2,300,000 − $2,012,500 = $287,500
NCI's 30% share of identifiable FV = $862,500
Goodwill attributable to NCI = $875,000 − $862,500 = $12,500
Total goodwill = $287,500 + $12,500 = $300,000 ✓
This distinction matters when you prove the investment and NCI account balances, because each party carries its own goodwill figure.
The acquisition occurred on 1 January 2021. By 31 December 2024, four years of amortisation have been recorded.
Asset | Original | Year 1-4 Amort | Remaining at 31/12/2024 |
|---|---|---|---|
Equipment | $200,000 | $32,000 | $168,000 |
Customer list | $175,000 | $140,000 | $35,000 |
Patent | $250,000 | $100,000 | $150,000 |
Goodwill | $300,000 | $0 | $300,000 |
Total | $925,000 | $272,000 | $653,000 |
Note: the customer list has only one year of amortisation remaining (year 5, 2025). After that, only equipment and patent amortisation continue.
By 31 December 2023 (BOY 2024, three years of amortisation):
Asset | Original | Year 1-3 Amort | Remaining at 31/12/2023 |
|---|---|---|---|
Equipment | $200,000 | $24,000 | $176,000 |
Customer list | $175,000 | $105,000 | $70,000 |
Patent | $250,000 | $75,000 | $175,000 |
Goodwill | $300,000 | $0 | $300,000 |
Total | $925,000 | $204,000 | $721,000 |
These remaining excess balances at the beginning and end of the year feed directly into the E entry of the consolidation and the investment/NCI account proofs.
Each year, Penguin records its 70% share of total amortisation as a reduction to income from subsidiary:
Penguin's annual amortisation charge = 70% × $68,000 = $47,600
The equity method journal entry each year:
DR Income from subsidiary: $47,600
CR Investment in Star: $47,600
The NCI absorbs the remaining 30%:
NCI annual amortisation = 30% × $68,000 = $20,400
Total implied fair value:
FV(total) = Purchase price + FV of NCI
Excess:
Excess = FV(total) − Book value of subsidiary equity
Annual amortisation (per asset):
Amortisation = FV adjustment ÷ Remaining useful life
Cumulative amortisation at any date:
Cumulative amort = Annual amort × Number of years since acquisition
Unamortised excess at any date:
Unamortised excess = Original excess − Cumulative amortisation
This is the mechanical heart of every business combination under ASC 805. When a company announces an acquisition, the purchase price allocation (PPA) disclosed in the footnotes follows exactly this logic: identify the fair values of tangible and intangible assets acquired, allocate the excess, and amortise identified intangibles. The goodwill figure that remains is what investors scrutinise for potential impairment charges in future years.
"Goodwill is amortised like other intangibles." Under US GAAP it is not. Goodwill is tested for impairment, not amortised. Only the identifiable intangible assets (customer list, patent, etc.) are amortised over their useful lives.
"The excess splits 70/30 automatically." The identifiable excess allocations do split proportionally, but goodwill often does not. Goodwill attributable to the parent and to NCI must be computed separately by comparing each party's payment to their share of identifiable fair value.
"Amortisation of excess only matters at consolidation." It also matters on the parent's own books under the equity method. The parent records its share of excess amortisation as a reduction to income from subsidiary every period.
"Once you calculate the excess at acquisition, you are done." You must track the unamortised balance at the beginning and end of every year. The consolidation E entry uses the beginning-of-year remaining excess, and the A entry records the current-year amortisation.
⚠️ The acquisition analysis is the foundation for every consolidation entry. An error here cascades through C, E, A, D, and I.
⚠️ Expect the exam to test your ability to compute unamortised excess at different dates (not just acquisition or year-end, but beginning of the current year as well).
⚠️ The customer list fully amortises after year 5 (end of 2025). If the exam asks about year 6 or later, annual amortisation drops from $68,000 to $33,000.
⚠️ Goodwill split: if the parent paid a control premium, goodwill will not be 70/30. Be prepared to compute it both ways and explain the difference.
True or False: Total implied fair value equals the purchase price divided by the ownership percentage.
False. It equals the purchase price plus the fair value of the NCI. Dividing by the ownership percentage only works when FV is proportional (no control premium), which is not always the case.
Fill in the blank: Annual amortisation of the identifiable excess in the Penguin-Star problem is $______.
$68,000.
True or False: Goodwill attributable to the parent in this problem is $210,000 (70% × $300,000).
False. It is $287,500 because the parent paid a control premium. The proportional split does not apply to goodwill here.
Fill in the blank: Unamortised excess at 31 December 2023 (beginning of 2024) is $______.
$721,000.
True or False: Under the equity method, the parent records 100% of the excess amortisation.
False. The parent records only its ownership share (70%, or $47,600 per year).
Q: How is total implied fair value calculated, and what is it in the Penguin-Star problem?
A: Total implied FV = Purchase price + FV of NCI = $2,300,000 + $875,000 = $3,175,000. This represents the full fair value of Star at the acquisition date.
Q: Why does goodwill not split 70/30 between parent and NCI in this problem?
A: Because Penguin paid a control premium. Penguin's goodwill = $2,300,000 − 70% × $2,875,000 = $287,500. NCI goodwill = $875,000 − 30% × $2,875,000 = $12,500. The split is roughly 95.8% / 4.2%, not 70/30.
Q: What is the unamortised excess at 31 December 2024, and how would it differ at 31 December 2025?
A: At 31/12/2024: $653,000 (after 4 years of $68K amortisation). At 31/12/2025: $653,000 − $68,000 = $585,000. Note that after 2025, the customer list is fully amortised, so annual amort drops to $33,000 from 2026 onwards.
Q: Walk through the equity method entry for amortisation of excess in any single year.
A: DR Income from subsidiary $47,600, CR Investment in Star $47,600. This is 70% of the $68,000 total annual amortisation. The entry reduces both the recognised income from the subsidiary and the carrying value of the investment.
Q: How does the amortisation schedule feed into the consolidation E entry?
A: The E entry uses the beginning-of-year unamortised excess. Each identifiable asset excess is debited at its remaining balance as of the start of the current year. Goodwill is debited at its full original amount (it does not amortise). These debits, along with the subsidiary's beginning equity, are offset against the beginning investment and NCI balances.
This material connects directly to the CEADI consolidation entries (Part 3 of these notes), since the acquisition analysis generates the numbers used in the E entry (excess allocation) and the A entry (current-year amortisation). It also connects to impairment testing: if Star underperforms, the $300,000 goodwill may need to be written down, which changes the consolidation entries going forward. The equity method mechanics here are the same ones tested in intermediate accounting when covering investments in associates (ASC 323), just applied to a subsidiary context.
acquisition analysis, purchase price allocation, PPA, excess of cost over book value, fair value adjustment, goodwill, noncontrolling interest, NCI, minority interest, amortisation of excess, equity method, ASC 805, business combination, control premium, implied fair value, unamortised excess, consolidation E entry, identifiable intangible assets, customer list amortisation, patent amortisation, remaining useful life