📖 外币折算综合练习

Financial Statement Analysis

I. Lesson Focus

II. The Problem

A Chinese parent company owns a wholly-owned subsidiary located in the eurozone. The subsidiary keeps its books in euros, but the analyst must determine whether its functional currency is the euro or the renminbi. When the parent prepares consolidated statements, the subsidiary’s euro-denominated financial statements must be translated into RMB. When exchange rates are volatile, the choice between the current rate method and the temporal method can produce material differences in consolidated net income, shareholders’ equity, the debt-to-asset ratio, net profit margin, and other key metrics. If an analyst cannot correctly identify the translation method and understand its effect on financial ratios, he or she may reach incorrect conclusions about profitability, solvency, and valuation. This lesson uses several comprehensive cases to help candidates become proficient in the rules of both translation methods, the differential treatment of financial-statement items, the calculation of the cumulative translation adjustment (CTA), and the distortive effects on financial ratios.

III. Core Concepts Review of Foreign-Currency Translation

Foreign-currency translation primarily uses two methods: the current rate method and the temporal method.

• Current rate method: Applied when the subsidiary’s functional currency is the local currency and the subsidiary operates independently of the parent. All assets and liabilities are translated at the current (closing) exchange rate; common stock and additional paid-in capital are translated at historical rates; revenues and most expenses are translated at the average exchange rate for the period. The resulting translation difference is recorded in other comprehensive income (OCI) as the cumulative translation adjustment (CTA) and does not affect current-period net income.
• Temporal method (remeasurement): Applied when the subsidiary’s functional currency is the parent’s reporting currency (highly integrated operations). Monetary assets and liabilities are translated at the current exchange rate; non-monetary assets and liabilities are translated at historical rates (the rate in effect when the item was acquired or incurred). Revenues and most expenses use the average rate, but expenses related to non-monetary items (COGS, depreciation) must use the historical rates applicable to the related balance-sheet items. The translation gain or loss flows directly into current net income.

Determining the functional currency is the prerequisite for selecting the correct method. The functional currency is the currency of the primary economic environment in which the entity generates and expends cash. Key considerations include sales price, sales market, expense currency, financing currency, and degree of operational autonomy.

IV. Translation Rules for Major Financial Statement Items – Side-by-Side Comparison

V. Impact of Exchange-Rate Changes on Financial Ratios

• Current rate method: Exchange-rate movements affect the magnitude of assets, liabilities, and equity, but most structural ratios remain unchanged because both numerator and denominator are multiplied by the same closing rate. Profitability ratios such as net margin and ROE are relatively stable because CTA bypasses net income.
• Temporal method: Exchange-rate changes directly affect net income through the remeasurement gain or loss and through the use of different rates for non-monetary items. This distorts net profit margin, ROE, EPS, asset turnover, and inventory turnover ratios.

Analysts must pay special attention to comparability when a subsidiary operates in a hyperinflationary environment or when functional-currency judgment is debatable.

Worked Cases

Case 1: Full Translation under the Current Rate Method (Functional Currency = Euro)

Subsidiary’s 31 Dec 2023 euro trial balance (in €’000):
Cash 200, AR 300, Inventory 400, PPE (net) 800, Total assets 1,700.
AP 250, Long-term debt 500, Common stock 400, Beginning RE 300, Net income 250, Total L&E 1,700.

Exchange rates:
- 1 Jan 2023 (inception): €1 = RMB 7.5
- 31 Dec 2023: €1 = RMB 8.0
- 2023 average: €1 = RMB 7.8
- Historical rate for inventory and PPE: €1 = RMB 7.6

Current-rate translation (RMB’000):
- Cash: 200 × 8.0 = 1,600
- AR: 300 × 8.0 = 2,400
- Inventory: 400 × 8.0 = 3,200
- PPE: 800 × 8.0 = 6,400
- Total assets = 13,600
- AP: 250 × 8.0 = 2,000
- LT debt: 500 × 8.0 = 4,000
- Common stock: 400 × 7.5 = 3,000
- RE: (300 × 7.6) + (250 × 7.8) = 2,280 + 1,950 = 4,230 (rolled forward)
- CTA (plug to balance): 13,600 – (6,000 liabilities + 3,000 stock + 4,230 RE) = +370 (recorded in OCI).

Subsidiary contribution to consolidated net income = 250 × 7.8 = 1,950 (unaffected by CTA).

Case 2: Full Translation and Remeasurement Gain/Loss under the Temporal Method (Functional Currency = RMB)

Using the same euro balances and exchange rates as Case 1.

Temporal-method translation (RMB’000):
- Cash: 200 × 8.0 = 1,600
- AR: 300 × 8.0 = 2,400
- Inventory: 400 × 7.6 = 3,040 (historical)
- PPE: 800 × 7.6 = 6,080 (historical)
- Total assets = 13,120
- AP: 250 × 8.0 = 2,000
- LT debt: 500 × 8.0 = 4,000

Net monetary position = (200 + 300) – (250 + 500) = –250 (€’000 net liability).
Exchange-rate change (closing vs. weighted historical) ≈ +0.4.
Remeasurement loss = –250 × 0.4 = –100.
Translated net income = (250 × 7.8) – 100 = 1,950 – 100 = 1,850 (flows directly into consolidated net income).

Retained earnings is rolled forward incorporating this remeasurement loss.

Case 3: Comparative Effect of the Two Methods on Key Financial Ratios

Using data from Cases 1 and 2 (ignoring parent-only numbers for simplicity).

Current-rate results (RMB’000):
Total assets 13,600, Total liabilities 6,000, Equity 7,600 (includes CTA 370), NI 1,950.
Debt-to-asset ratio = 6,000 / 13,600 ≈ 44.1%.
Assume revenue = 2,000 × 7.8 = 15,600; net margin = 1,950 / 15,600 ≈ 12.5%.
ROE (approx.) ≈ 27.9%.

Temporal-method results (RMB’000):
Total assets 13,120, Total liabilities 6,000, Equity 7,120, NI 1,850.
Debt-to-asset ratio ≈ 45.7%.
Net margin ≈ 11.9%.
ROE (approx.) ≈ 27.2%.

Observation: The current-rate method “inflates” assets and equity; CTA stays in OCI so reported net income is higher. The temporal method reduces net income through the remeasurement loss on the net-liability position and produces a lower asset base. Euro appreciation against RMB creates a loss under the temporal method when the subsidiary has a net monetary liability exposure.

Traps

Key Formulas

• CTA (current rate) = (Ending net assets × closing rate) – [(Beginning net assets × beginning rate) + (Capital contributions × historical rate) + (Net income × average rate)]
• Remeasurement gain/loss (temporal) = Net monetary asset/liability exposure × change in exchange rate
• Translated net income (temporal) = Local-currency net income × average rate ± remeasurement gain/loss
• Net monetary exposure = Monetary assets – monetary liabilities
• Debt-to-asset ratio (current rate) remains unchanged because both numerator and denominator use the closing rate
• ROE under current-rate method should be analyzed both with and without CTA for trend comparability

Practice Questions

Q1. Under the current-rate method, which item is translated at the historical exchange rate?
A. Inventory
B. Accounts payable
C. Common stock
D. Long-term bank loan

Q2. Under the temporal method, the translation difference is reported in:
A. Other comprehensive income
B. Current-period net income
C. Beginning retained earnings
D. Additional paid-in capital

Q3. A subsidiary has a net monetary liability of €2 million. The euro appreciates by RMB 0.3 versus the weighted historical rate. Using the temporal method, the parent will recognize:
A. A remeasurement gain of RMB 600,000
B. A remeasurement loss of RMB 600,000
C. CTA increase of RMB 600,000
D. No effect

Q4. Which ratio is usually unaffected by exchange-rate movements under the current-rate method?
A. Net profit margin
B. Current ratio
C. Return on equity
D. Earnings per share

Q5. An analyst observes a large positive amount in “other comprehensive income” and relatively clean net income with no material exchange loss. The company most likely used:
A. The temporal method
B. The current-rate method
C. Restatement followed by temporal translation
D. The temporal method with remeasurement gain

Q6. Under the temporal method, depreciation expense related to PPE should be translated at the:
A. Closing rate
B. Average rate
C. Historical rate on the date the PPE was acquired
D. Beginning-of-period rate

Q7. IFRS requires that, for a subsidiary operating in a hyperinflationary economy whose functional currency is the local currency, the parent should:
A. Translate directly using the current-rate method
B. First restate the local-currency statements using a general price index, then translate using the current-rate method
C. Use the temporal method directly
D. Ignore inflation and consolidate

Q8. Which situation is most likely to cause consolidated net income to be materially distorted by exchange-rate volatility?
A. Subsidiary functional currency is local currency and current-rate method is used
B. Subsidiary functional currency is the parent’s currency and temporal method is used
C. All non-monetary assets are measured at fair value
D. CTA amount exceeds net income

Answers

Takeaways

• Current-rate method: all assets and liabilities at closing rate, difference to OCI (CTA), net income remains “clean.”
• Temporal method: non-monetary items at historical rates, difference to net income, directly affects profitability and ROE.
• Retained earnings is always computed as a roll-forward; never translated at a single rate.
• Functional-currency determination drives the choice between current-rate and temporal methods.
• Current-rate method leaves most structural ratios intact; temporal method distorts profitability and turnover ratios.
• Euro appreciation on a net monetary liability position creates a loss under the temporal method and a CTA gain under the current-rate method.