How do you build an amortization schedule for the excess purchase price under the equity method?
I just got destroyed by a practice vignette on equity method amortization. Pelham Capital acquired 40% of Stonebridge Mfg for $260 million. Stonebridge's book equity was $500 million at acquisition. The excess was allocated: $40M to patents (8-year life), $30M to customer relationships (6-year life), and the rest to goodwill. I need help building the amortization schedule and understanding how it flows through the investment account balance over multiple years.
Let me build this out systematically so you can replicate it on exam day.
Step 1: Compute the Excess
Pelham paid $260M for 40% of Stonebridge.
Share of book equity = 40% x $500M = $200M
Total excess = $260M - $200M = $60M
Step 2: Allocate the Excess
| Component | Pelham's Share | Useful Life | Annual Amort |
|---|---|---|---|
| Patents | $40M | 8 years | $5.0M |
| Customer relationships | $30M | 6 years | $5.0M |
| Goodwill | $60M - $40M - $30M = negative $10M | — | — |
Wait — that gives negative goodwill. Let me re-read the problem. The excess of $60M is Pelham's share. So the full fair value adjustments would be $40M/0.40 = $100M for patents and $30M/0.40 = $75M for customer relationships. But we only care about Pelham's 40% share:
- Patents: $40M over 8 years = $5.0M/year
- Customer relationships: $30M over 6 years = $5.0M/year
- Goodwill: $60M - $40M - $30M = negative $10M
Actually, let me restate the problem correctly. If the allocations already represent Pelham's share:
Goodwill = $60M - $40M - $30M = -$10M
A negative goodwill (bargain purchase) would be recognized as a gain. But more likely the question means total excess is $60M and allocations are as given, leaving $60M - $40M - $30M = -$10M, which signals the fair value of identifiable assets exceeds the purchase price. The bargain purchase gain of $10M is recognized immediately.
Corrected Amortization Schedule:
| Year | Patent Amort | Customer Rel Amort | Total Adjustment |
|---|---|---|---|
| 1 | $5.0M | $5.0M | $10.0M |
| 2 | $5.0M | $5.0M | $10.0M |
| ... | ... | ... | ... |
| 6 | $5.0M | $5.0M | $10.0M |
| 7 | $5.0M | $0 | $5.0M |
| 8 | $5.0M | $0 | $5.0M |
Step 3: Investment Account Balance (Year 1)
Assume Stonebridge earns $50M and pays $10M dividends:
| Item | Amount |
|---|---|
| Opening investment | $260.0M |
| + Equity income (40% x $50M) | +$20.0M |
| - Amortization | -$10.0M |
| - Dividends received (40% x $10M) | -$4.0M |
| + Bargain purchase gain | +$10.0M |
| Ending balance | $276.0M |
Key point: Dividends reduce the investment account (they are a return OF capital, not income). Amortization also reduces the account. Only the share of investee net income and the one-time bargain gain increase it.
For more equity method vignettes, explore our CFA Level II practice questions.
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