Currency relationships
Relative strength, shared exposures and measured historical correlations.
Understanding direction
For matched instruments and timestamps, EUR/JPY ≈ EUR/USD × USD/JPY and EUR/GBP ≈ EUR/USD ÷ GBP/USD. Quotes differ with bid/ask spreads and venue. These identities explain ratios; they do not create a guaranteed executable arbitrage. Pearson r ranges from −1 to +1, is computed here on log returns and is sensitive to timeframe, sample and regimes. A high historical r is not a future forecast.
| Currency relationships | Understanding direction | Instrument overview |
|---|---|---|
| EUR/USD ↑ · USD/JPY ↔ | EUR/JPY ↑ | If USD/JPY is unchanged, a higher EUR/USD implies a higher EUR/JPY by the cross-rate identity. |
| EUR/USD ↑ · GBP/USD ↑ | EUR/GBP ? | Both can rise while EUR/GBP rises, falls or stays flat; compare the relative percentage changes. |
| USD/JPY ↑ · USD/CHF ↑ | JPY/CHF ? | A shared USD move does not determine JPY/CHF. This ratio also depends on the relative change of JPY and CHF. |
| Gold · USD | Variable | Dollar pricing can matter for gold, but real yields and risk demand can change the observed relationship. |
Relative-movement scenario
Choose hypothetical changes against the same reference basket. Pair change = (1 + base change) / (1 + quote change) − 1. This is an algebraic scenario, not a market forecast.
Historical correlation calculator
Upload aligned closing prices or paste CSV: date,SERIES_A,SERIES_B. Dates must be real ISO dates in increasing order with no duplicates or gaps in either series. The tool uses log returns and Pearson correlation. Files stay in your browser.
Hypothetical illustration — not a live chart or a forecast.