Foreign stocks: Calculate the return in your own currency
A foreign stock may have risen in its own currency while that currency has fallen against yours. Your return in your own currency can therefore differ from the percentage you see on the stock's price chart.
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Worked example
- Dividends: Without dividends
- Number of shares: 100
- Purchase price in local currency: 100
- Sale price in local currency: 110
- Exchange rate at purchase (your currency per unit): 7
- Exchange rate at sale (your currency per unit): 6.65
- Fee on purchase: 0.00 EUR
- Fee on sale: 0.00 EUR
Result
Stock return in local currency
10 %
Currency change
-5 %
Cost of purchase
70,000 EUR
Final value
73,150 EUR
Gain before tax
3,150 EUR
Return
4.5 %
Working
- local stock return = 100 × (P₁ / P₀ − 1)
100 × (110 / 100 − 1) = 10 % - currency change = 100 × (v₁ / v₀ − 1)
100 × (6.65 / 7 − 1) = -5 % - cost = q × P₀ × v₀ + F₀
100 × 100 × 7 + 0.00 EUR = 70,000.00 EUR - final value = q × P₁ × v₁ − F₁
100 × 110 × 6.65 − 0.00 EUR = 73,150.00 EUR - gain = final value − cost
73,150.00 EUR − 70,000.00 EUR = 3,150.00 EUR - return = 100 × gain / cost
100 × 3,150.00 EUR / 70,000.00 EUR = 4.5 %
The calculator includes the number of shares, the share prices and the exchange rates at purchase and sale. You can also enter trading costs and dividends received.
Stock return and currency return work together
Without dividends and fees, the formula is return in your currency = (1 + local stock return) × (1 + currency return) − 1. The percentages are written as decimals.
The currency return is measured as the change in the price of one unit of foreign currency in your own currency. A rising exchange rate therefore gives a positive currency contribution to an investment in that currency.
The stock rises 10%, the currency falls 5%
The calculation is 1.10 × 0.95 − 1 = 4.5%. An investment that cost 10,000 is worth 10,450 in this example before tax and costs.
So you cannot simply subtract five percentage points from the stock's ten percent to get the exact total return. The currency change affects the whole final value of the stock.
Dividends must be converted at the right time
In this calculation, dividends paid out are converted at the exchange rate when they are received. If you keep the amount in foreign currency, the cash holding also has a subsequent currency risk that must be calculated separately.
The calculation fits a position without currency hedging. A currency-hedged product must be assessed according to its own method. The trading currency alone also does not determine the underlying currency exposure of a fund.