How does the cumulative translation adjustment (CTA) work under the current rate method, and what happens when you sell the subsidiary?
Hearthstone Industries has a subsidiary in Japan, Yamato Systems, whose functional currency is JPY. Hearthstone uses the current rate method to translate Yamato's financial statements into USD. Over 5 years, the CTA has accumulated to negative $48 million in equity (JPY weakened). Now Hearthstone is considering selling Yamato. What happens to this CTA balance?
The CTA is one of those items that sits quietly in equity for years and then suddenly hits the income statement — which makes it a great exam topic.
Current Rate Method Mechanics
Under the current rate method, ALL assets and liabilities are translated at the current (closing) exchange rate, while equity accounts use historical rates. This mismatch creates the CTA.
How CTA Accumulates: Yamato Example
Year 1: JPY/USD closes at 110. Yamato's net assets in JPY = 5.5B yen.
Net assets in USD = 5.5B / 110 = $50M
Year 2: JPY/USD closes at 120 (JPY weakened). Yamato's net assets grew to 6.0B yen.
Net assets in USD = 6.0B / 120 = $50M
Despite JPY net asset growth, the USD value stayed flat because the yen weakened. The translation loss accumulates in CTA.
Simplified CTA for Year 2:
CTA = Change in net assets at current rate - (Income translated at average rate + Other equity changes at historical rates)
Over 5 years, these translation losses accumulated to -$48M in Hearthstone's equity.
Where CTA Lives on the Balance Sheet
CTA is part of Accumulated Other Comprehensive Income (AOCI) within shareholders' equity. It does NOT affect the income statement while the subsidiary is held.
What Happens on Sale or Disposal
When Hearthstone sells Yamato, the accumulated CTA of -$48M is reclassified from equity to the income statement as part of the gain or loss on disposal.
| Item | Amount |
|---|---|
| Sale proceeds | $200M |
| Carrying amount of Yamato (net assets + goodwill) | ($180M) |
| Pre-tax gain before CTA | $20M |
| CTA reclassification | ($48M) |
| Net loss on disposal | ($28M) |
The -$48M CTA converts a $20M gain into a $28M loss. This can dramatically change the economics of the sale.
Partial Disposal
If Hearthstone sells only a portion (say drops from 100% to 60%), a proportionate amount of CTA is reclassified. If Hearthstone sells 40%:
CTA reclassified = 40% x (-$48M) = -$19.2M
Exam tip: Watch for questions where the CTA reclassification flips the sign of the disposal gain/loss. This is a common trick — the proceeds look profitable until you account for the accumulated currency losses.
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