International Investing Tools
International Return Decomposer
Separate a foreign investment's return into two components: the local market return and the currency translation effect. Uses the multiplicative formula so the results are mathematically correct, not an approximation.
Direct Answer
When you invest abroad, your home-currency return depends on two things compounded together: how the local market performed and how the foreign currency moved against your currency. Adding them overstates or understates the real result. The correct formula is: investor return = (1 + local return) x (1 + currency change) - 1. This tool performs that decomposition and shows each component's contribution.
Decompose a Foreign Investment Return
The Formula and Why It Matters
Most investors add local return and currency change together: "I earned 8% in the local market and the currency moved +3%, so I earned 11%." This is wrong. The correct calculation multiplies the two factors:
Investor return = (1 + local return) x (1 + currency change) - 1
For an 8% local return and 3% currency gain: (1.08)(1.03) - 1 = 11.24%. The extra 0.24% is the interaction term: the currency gain is applied to a portfolio that has already grown. Over large moves, this difference compounds materially.
When a currency weakens, the same interaction works in reverse. A -10% currency move on top of a +15% local gain gives (1.15)(0.90) - 1 = 3.5%, not 5%.
What Currency Risk Looks Like in Practice
Currency moves can dominate short-term international returns even when local markets perform well. A developed-market investor in an index fund that earns 12% locally could still see a flat or negative home-currency return if their currency strengthened 10% to 15% against the local currency during the same period. Over longer holding periods, currency effects tend to mean-revert more, but they can amplify volatility meaningfully in the short term.
Investors can reduce currency risk through hedged share classes of ETFs or funds, though hedging has its own costs and imperfections. This tool does not model hedging scenarios.
International Return Decomposer FAQs
Why can't I just add the local return and currency change?
Adding them ignores the interaction term. If a local market gains 10% and the local currency gains 5%, the combined investor return is (1.10)(1.05) - 1 = 15.5%, not 15%. The extra 0.5% comes from the currency appreciation being applied to an already-larger amount. Over larger moves, the difference becomes more significant.
What does a negative currency change mean?
A negative currency change means the foreign currency weakened relative to your home currency. When you convert your returns back, you receive fewer units of your home currency per unit of local gain, reducing your total return. A large enough currency decline can turn a positive local return into a negative investor return.
Does this tool account for taxes on foreign income?
The withholding field is a simplified scenario only. It subtracts a flat percentage from the combined return as an illustration. Real withholding tax depends on the country, treaty status, security type, and account type. This is not tax advice, and the result should not be used for tax planning without consulting a tax professional.
Is the currency contribution calculated correctly?
Yes. The currency contribution shown is not simply the currency change percentage. It is the currency change multiplied by the local return factor (1 + local return), which correctly attributes the interaction term. The local contribution equals the local return, and the two contributions sum to the combined pre-cost return.
Limitations
- Single period. This tool decomposes a single-period return. Multi-year compounding of currency and local returns requires period-by-period data and is not modeled here.
- No hedging. Currency-hedged strategies are not modeled. A hedged fund would eliminate most currency exposure at the cost of the hedging premium.
- Withholding is illustrative only. Real foreign withholding depends on source country, treaty, security type, and your account type. The flat-percentage field is a planning approximation, not tax advice.
- Not investment advice. Results are arithmetic outputs from user-entered assumptions. Past currency behavior is not a guide to future moves.
Privacy and Data Handling
All calculations run in your browser. Values you enter are not sent to Swoopr Investment's servers, stored, or logged. Closing or reloading the page clears them. No account is required.
References
- SEC: Investor Bulletin on International Investing: overview of currency risk and other considerations for U.S. investors holding foreign securities.
- CFTC: International Investing: regulatory overview of foreign investment risks including currency fluctuation.
This tool performs arithmetic decomposition of user-supplied return assumptions. It is not investment advice. Currency behavior is not predictable and past moves do not forecast future ones.