# Exports valued in different currencies

Data Note · International Trade
An export shipment has one set of goods but can have several reported currency values. A movement in the conversion rate changes the relationship between those values even when the shipment's quantity and invoiced price remain unchanged. Renminbi growth and dollar growth should therefore be reconciled before either is used to describe a change in external demand.

China's National Bureau of Statistics presents merchandise-trade values in yuan in the trade section of its [annual statistical communiqué](https://www.stats.gov.cn/english/PressRelease/202602/t20260228_1962661.html). The currency label is part of the observation. Converting that observation into another currency is a separate operation; it does not create an independent measure of the physical goods exported.

## Fix the exchange-rate quotation

Define \(V_R\) as export value in renminbi, \(V_D\) as the corresponding dollar value, and \(e\) as renminbi per dollar. For a single transaction converted at that rate:

\[
V_R=eV_D,\qquad
1+g_R=(1+g_e)(1+g_D).
\]

A rise in \(e\) means that more renminbi are required to obtain a dollar. The quotation must remain explicit because reversing the currency pair reverses the direction of the rate change.

In a hypothetical example, exports are worth $100 when the conversion rate is 7 renminbi per dollar. Their renminbi value is 700. If the dollar value stays at 100 and the rate rises to 7.35, the renminbi value becomes 735. Renminbi growth is 5 percent, dollar growth is zero, and the quantity of exports has not been specified to change.

Suppose instead that dollar export value falls by 2 percent, to 98, while the same currency movement occurs. Renminbi value becomes 720.3, or 2.9 percent above the starting value. A positive renminbi headline and a negative dollar headline can then be simultaneously correct.

## Translation does not establish the exporter's exposure

The identity describes values expressed in different units. It does not show that the exporter received a 5 percent profit increase. Its contract might be invoiced in renminbi, dollars or a third currency. Imported inputs, foreign-currency borrowing, hedges and settlement dates can change the effect on cash flow.

Even the dollar value combines price and quantity. A stable dollar total could conceal a higher shipment volume sold at lower unit prices, or the opposite. Inferring real export demand requires appropriate volume or price information, with attention to changes in product composition. A switch toward more expensive goods can increase average unit value without an increase in the price of any unchanged product.

Aggregation adds a timing issue. An annual currency total is the sum of transactions occurring at different dates. Multiplying that total by a single end-year exchange rate will generally not reproduce the sum obtained by converting the underlying transactions at their relevant rates. A monthly average can also differ from the rates actually used to compile a published series.

The simple identity is exact for its stated common conversion basis. Applied to independently compiled annual series, it becomes a reconciliation framework whose residual may reflect conversion conventions, timing or other coverage differences. Such a residual should be investigated rather than assigned immediately to unreported trade.

## The comparison to publish

A useful export table names the reporting currency, valuation basis, period and source, then separates value growth from any available price and quantity measures. Where both renminbi and dollar totals are shown, the accompanying analysis should explain the exchange-rate convention rather than select whichever growth rate better fits a narrative.

Currency translation can account for a difference between two value headlines. It cannot, on its own, establish a change in competitiveness, export profitability or foreign demand. Those are economic questions that require evidence beyond the unit in which a shipment is reported.

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American Economic Senate
