ACCT-311 · Lesson 11 of 12 · 25 min

Translation and remeasurement of foreign entities

On 1 January 2027 Larkspur acquires all the shares of Osprey Instruments Ltd., a Vancouver maker of optical sensors, for CAD 1,800,000. Osprey keeps its books in Canadian dollars, sells mainly in Canada and pays its staff and suppliers in Canadian dollars, so its functional currency is the Canadian dollar. To consolidate Osprey, Larkspur must express Osprey's statements in US dollars. Unlike the transactions in the previous lesson, the adjustments that arise here do not affect Osprey's cash flows or Larkspur's earnings: they are the result of restating an investment whose value is measured in another currency. ASC 830 therefore reports them in other comprehensive income as the cumulative translation adjustment (CTA).

Two processes, chosen by functional currency

The method depends on the foreign entity's functional currency. If Osprey's functional currency is the Canadian dollar, its statements are translated into the reporting currency by the current rate method: assets and liabilities at the current rate, revenues and expenses at the rates when recognized (a weighted-average rate is a practical approximation) and equity at historical rates, with the difference in the CTA within OCI. If the foreign entity's functional currency is the US dollar, for example because it is a sales office that relies on the parent, its books are remeasured into US dollars by the temporal method: monetary items at the current rate, nonmonetary items at historical rates, with remeasurement gains and losses in net income. ASC 830 offers no free choice; the functional currency, determined from the facts, decides.

Translation compared with remeasurement.
ItemTranslation (functional currency CAD)Remeasurement (functional currency USD)
Monetary assets and liabilitiesClosing rateClosing rate
Inventory and equipment at costClosing rateHistorical rates
Revenue and most expensesTransaction-date or average rateTransaction-date or average rate
Cost of sales and depreciationAverage rateHistorical rates of the related assets
Share capitalHistorical rateHistorical rate
Exchange differenceOCI (CTA)Net income

Translating Osprey

Worked problem

Osprey's first year

Osprey's net assets at acquisition were CAD 1,600,000 at fair value, so Larkspur recognized goodwill of CAD 200,000. In 2027 Osprey earned profit of CAD 300,000 and paid a dividend of CAD 100,000 on 31 December, leaving net assets of CAD 1,800,000. Rates (USD per CAD, illustrative): 1 January 0.74; average 0.73; 31 December 0.71. Translate Osprey's results and find the CTA.

Show solution
  1. Cost of the investment: CAD 1,800,000 × 0.74 = USD 1,332,000, of which goodwill USD 148,000.
  2. Goodwill is an asset of the foreign entity (ASC 830-30-45-11), so at year end it is translated at the current rate: CAD 200,000 × 0.71 = USD 142,000.
  3. Closing net assets including goodwill: CAD 2,000,000 × 0.71 = USD 1,420,000. Profit: 300,000 × 0.73 = 219,000. Dividend: 100,000 × 0.71 = 71,000.
  4. CTA: 1,420,000 − 1,332,000 − 219,000 + 71,000 = USD (60,000), a loss in OCI because the Canadian dollar weakened while Larkspur held net assets in Canadian dollars.

Answer: CTA loss in OCI of USD 60,000.

# Translating Osprey's 2027 statements (all figures and rates illustrative)
fc, home = "CAD", "USD"
opening, average, closing = 0.74, 0.73, 0.71         # USD per CAD; acquisition on 1 Jan 2027 at the opening rate
bs = {"cash": 300_000, "receivables": 500_000, "inventory": 600_000, "equipment": 1_600_000,
      "payables": -400_000, "loan": -800_000}      # 31 Dec 2027, in CAD
goodwill = 200_000                                # arose on acquisition; an asset of the foreign operation
profit, dividends = 300_000, 100_000              # dividends paid on 31 Dec
net_assets = sum(bs.values())                     # 1,800,000
cost = round((net_assets - profit + dividends + goodwill) * opening)
closing_home = round((net_assets + goodwill) * closing)
profit_home = round(profit * average)
div_home = round(dividends * closing)
reserve = closing_home - cost - profit_home + div_home
print(f"Cost of the investment at acquisition: {cost:,} {home}")
print(f"Net assets incl. goodwill at closing rate: {closing_home:,}")
print(f"Profit at average rate {profit_home:,}; dividends at closing rate {div_home:,}")
print(f"Translation difference for 2027 (OCI): {reserve:,}")
check = round((net_assets - profit + dividends + goodwill) * (closing - opening) + profit * (closing - average))
print(f"Check: opening net assets x rate change + profit x (closing - average) = {check:,}")
Output
Cost of the investment at acquisition: 1,332,000 USD
Net assets incl. goodwill at closing rate: 1,420,000
Profit at average rate 219,000; dividends at closing rate 71,000
Translation difference for 2027 (OCI): -60,000
Check: opening net assets x rate change + profit x (closing - average) = -60,000

The program confirms the (60,000) and checks it a second way. Opening net assets of CAD 1,800,000 including goodwill lost 0.03 per Canadian dollar during the year (54,000), and profit, translated at the average rate of 0.73 but added to net assets now translated at 0.71, lost another 6,000. The dividend, translated at the current rate on the day it was paid, adds nothing. This decomposition is how analysts explain movements in the CTA.

\[\Delta\text{reserve} = NA_{\text{open}}(r_{\text{close}} - r_{\text{open}}) + \text{Profit}(r_{\text{close}} - r_{\text{avg}}) - \text{Div}(r_{\text{close}} - r_{\text{div}})\]
A waterfall chart for Osprey at 31 December 2027 in US dollars: cost at acquisition 1,332,000, plus profit at the average rate 219,000, less the dividend 71,000, less a translation adjustment of 60,000, ending at net assets including goodwill at the current rate of 1,420,000.
The CTA is the balancing figure that keeps translated equity equal to translated net assets.

Remeasurement by the temporal method

Suppose instead that Osprey were a sales office set up by Larkspur years earlier (at a rate of 0.77) that resells Larkspur products, remits cash to Denver and depends on Larkspur for financing. Its functional currency would then be the US dollar even though its books are kept in Canadian dollars. Remeasurement keeps nonmonetary items at the rates when they were acquired, so only the net monetary position is exposed to rate changes, and the remeasurement gain or loss goes to net income, as it would for transactions Larkspur entered into directly.

# The same balances remeasured by the temporal method (hypothetical sales office; illustrative)
historical, average, closing, inv_rate, cogs_rate = 0.77, 0.73, 0.71, 0.715, 0.735
monetary = {"cash": 300_000, "receivables": 500_000, "payables": -400_000, "loan": -800_000}
inventory, equipment, share_capital = 600_000, 1_600_000, 1_000_000
opening_re = 470_000                                # remeasured retained earnings at 1 Jan 2027, given
revenue, cogs, depreciation, other, tax, dividends = 3_000_000, 1_800_000, 200_000, 600_000, 100_000, 100_000
assets_less_liab = round(sum(monetary.values()) * closing + inventory * inv_rate + equipment * historical)
closing_re = assets_less_liab - round(share_capital * historical)
before = round(revenue * average - cogs * cogs_rate - depreciation * historical - (other + tax) * average)
plug = closing_re - (opening_re + before - round(dividends * closing))
print(f"Net monetary position: {sum(monetary.values()):,}")
print(f"Profit before remeasurement {before:,}; remeasurement gain (loss) in profit {plug:,}")
print(f"Profit after remeasurement {before + plug:,}; no translation difference in OCI")
Output
Net monetary position: -400,000
Profit before remeasurement 202,000; remeasurement gain (loss) in profit 6,000
Profit after remeasurement 208,000; no translation difference in OCI

With a net monetary liability of CAD 400,000 and a weakening Canadian dollar, remeasurement produces a gain of USD 6,000 in net income. Inventory is carried at the rate when it was bought (0.715), equipment and depreciation at 0.77 and cost of sales at the historical rates of the inventory sold (0.735 on average). The same balances translated by the current rate method would have produced a loss in OCI, so the functional currency changes both the sign and the location of the result.

Consolidating a foreign subsidiary

Once translated, Osprey's statements are consolidated with the usual eliminations. Fair value adjustments and goodwill from the acquisition are treated as assets and liabilities of the foreign entity and translated at the current rate, so the CTA includes their translation adjustments. If the subsidiary is not wholly owned, the NCI's share of the CTA is attributed to NCI. Intercompany balances denominated in one party's currency create transaction gains and losses for the other party that stay in consolidated net income, unless the balance is of a long-term investment nature (settlement not planned or anticipated in the foreseeable future), in which case the gains and losses are reported in the CTA.

When Larkspur sells Osprey, or completes or substantially completes its liquidation, the accumulated CTA is released into net income as part of the gain or loss on sale. A partial sale of a foreign entity that keeps control reallocates a proportionate share between the parent and NCI, and a partial sale of an equity method investment releases a pro rata share into earnings.

Hedging a net investment

A company that does not want translation adjustments to swing its equity can hedge its net investment, typically by borrowing in the foreign currency or entering into forward contracts. If Larkspur borrows CAD 1,000,000 and designates the loan as a hedge of its net investment in Osprey, the transaction gain on the loan (CAD 1,000,000 × 0.03 = USD 30,000 in 2027) goes to the CTA rather than earnings, offsetting part of the 60,000 translation loss. Like the CTA itself, the accumulated amount is released into earnings when Osprey is sold or substantially liquidated.

Hyperinflationary economies

When a foreign entity operates in a highly inflationary economy, defined as cumulative inflation of approximately 100 percent or more over three years, ASC 830 requires its financial statements to be remeasured as if the functional currency were the reporting currency, using the temporal method with gains and losses in net income. US GAAP does not use price-level restatement for this purpose, unlike IAS 29 under IFRS. Economies that have been treated as highly inflationary in recent years include Argentina, Venezuela and Türkiye; registrants follow current assessments, including those discussed by the SEC staff and practice groups.

Differences from IFRS

IFRS uses the same functional currency concept and the same translation mechanics, but the terminology differs (translation reserve rather than CTA; presentation rather than reporting currency), hyperinflation is handled by restatement under IAS 29 rather than by remeasurement into the reporting currency, and the rules for reclassifying the reserve on partial disposals differ in detail. Canadian private enterprises applying ASPE still classify foreign operations as integrated or self-sustaining.

Exchange rates and the cash flow statement

Translation also affects the consolidated statement of cash flows. ASC 830-230 requires cash flows of a foreign entity to be translated at the rates in effect when they occurred (a weighted-average rate is acceptable), and the effect of exchange rate changes on cash, cash equivalents and restricted cash is reported as a separate line in the reconciliation of the change in cash, outside operating, investing and financing activities. Because this effect is not a cash flow, it would distort the three main sections if it were buried in them. Analysts examining a multinational's cash generation look at this line to see how much of the change in cash came from currency movements rather than from the business.

Reading results in constant currency

Because translation changes reported revenue and profit even when the foreign business performs exactly as before, many companies report growth in constant currency, restating the current period at the prior period's rates, in their management commentary. If Osprey's revenue of 3,000,000 in its own currency were unchanged next year but the average rate moved, the parent would report a different translated amount; constant-currency growth of zero tells users that the change came from rates, not from customers. Such measures are not defined by the standards, so securities regulators expect them to be labeled clearly, reconciled to the reported figures and not given more prominence than them.

Common mistakes

  • MistakeTranslating all items of a foreign subsidiary at the closing rate, including equity.

    InsteadShare capital and pre-acquisition equity stay at historical rates; the reserve balances.

  • MistakePutting the CTA in net income.

    InsteadTranslation adjustments go to OCI; only remeasurement gains and losses go to net income.

  • MistakeKeeping goodwill on a foreign acquisition at the acquisition-date rate.

    InsteadGoodwill and fair value adjustments are assets of the foreign operation, translated at the closing rate.

  • MistakeChoosing the method that gives the smoothest result.

    InsteadThe functional currency, a question of fact, determines the method.

  • MistakeLeaving the translation reserve in equity when the subsidiary is sold.

    InsteadThe cumulative reserve is reclassified to profit or loss on disposal or loss of control.

Summary and key terms

  • The functional currency determines whether statements are translated or remeasured.
  • Translation (current rate method): assets and liabilities at current rates, income at average rates, differences in the CTA.
  • Remeasurement (temporal method): monetary items at closing rates, non-monetary items at historical rates, differences in profit.
  • Goodwill and fair value adjustments on a foreign acquisition are translated at the closing rate.
  • Long-term intercompany loans that form part of the net investment send exchange differences to OCI on consolidation.
  • The cumulative reserve is reclassified to profit on disposal; net investment hedges offset it in OCI.
  • Highly inflationary economies are remeasured into the reporting currency.
Cumulative translation adjustment
The component of AOCI that accumulates translation adjustments on foreign entities.
Reporting currency
The currency in which an entity prepares its financial statements.
Translation
Expressing an entity's functional currency statements in a different presentation or reporting currency.
Remeasurement
Restating books kept in another currency into the functional currency, using the temporal method.
Temporal method
Monetary items at the current rate and non-monetary items at historical rates.
Current rate method
Assets and liabilities at the current rate, income at average rates and equity at historical rates.
Net investment hedge
A hedge of the currency exposure of the net assets of a foreign operation.
Hyperinflationary economy
An economy with very high cumulative inflation, around 100 percent over three years.

Practice problems

Work each problem on paper first, then reveal the answer to check.

  1. ca

    Show answer

    us

  2. Which rate translates share capital?

    Show answer

    The historical rate when the shares were issued or acquired.

  3. Under remeasurement, which rate applies to equipment?

    Show answer

    The historical rate when it was acquired.

  4. Rerun the temporal program with a current rate of 0.76. Remeasurement result?

    Show answer

    A loss of 9,000.

  5. Where do exchange differences on a long-term intercompany loan forming part of the net investment go in the consolidated statements?

    Show answer

    OCI.

  6. Larkspur sells Osprey. What happens to the cumulative reserve?

    Show answer

    It is reclassified to profit or loss as part of the gain or loss on disposal.

  7. Larkspur designates a CAD 500,000 loan as a net investment hedge. Effect in 2027?

    Show answer

    Gain of USD 15,000 in the CTA.

  8. Why is a translation difference not in profit?

    Show answer

    It does not affect cash flows from operations; it reflects restating a net investment.

  9. What does ASC 830 require for a highly inflationary economy?

    Show answer

    Remeasurement as if the reporting currency were the functional currency.

  10. Name two indicators of functional currency.

    Show answer

    Currency influencing sales prices; currency of costs; currency of financing (any two).

Lesson quiz · 5 questions

Score 60% or more to complete this lesson.

Take the quiz