{ "metadata": { "publishedDate": "2026-10-03", "publisher": "InsomniCapital", "source": { "publisher": "European Central Bank", "url": "https://data-api.ecb.europa.eu/service/data/EXR/D.USD+GBP+JPY.EUR.SP00.A?startPeriod=2024-01-01&endPeriod=2024-12-31&format=csvdata", "retrievedAt": "2026-10-02T22:21:43.880Z", "csvSha256": "febf2b45b33628f8e8aceae6d28ced5833e78e4b393b13f14d5d316b8ee61bd8" }, "observations": 256, "sourcePeriod": { "first": "2024-01-02", "last": "2024-12-31" }, "method": { "pairs": "EUR crosses directly; GBPUSD=USD/GBP; USDJPY=JPY/USD, all on matching ECB dates", "returns": "ln(current reference / previous reference)", "windows": "Each window uses N+1 observations for N consecutive returns. Advance one source observation. No forward fill.", "correlation": "Pearson correlation of aligned EURUSD and GBPUSD log returns", "volatility": "Sample return standard deviation with N-1 denominator multiplied by sqrt(252)", "units": "Correlation dimensionless; JSON volatility decimal ratios, CSV volatility percentages", "dependence": "Adjacent windows share N-1 returns. They are not independent samples.", "limitations": "Information-only historical references, not executable quotes, intraday candles, trading returns, a strategy test or forecast." } }, "results": [ { "intervals": 20, "from": "2024-01-02", "to": "2024-01-30", "volatility": { "EURUSD": 0.04270097885365077, "EURGBP": 0.029244541823432755, "EURJPY": 0.06520680404418282, "GBPUSD": 0.041617858614849054, "USDJPY": 0.06668208221413896 } }, { "intervals": 20, "from": "2024-01-03", "to": "2024-01-31", "volatility": { "EURUSD": 0.04135912277591191, "EURGBP": 0.029408315758857856, "EURJPY": 0.06489065897413321, "GBPUSD": 0.04150857409143477, "USDJPY": 0.0644644292740948 } }, { "intervals": 20, "from": "2024-01-04", "to": "2024-02-01", "volatility": { "EURUSD": 0.03964538395271908, "EURGBP": 0.0288210116488891, "EURJPY": 0.061262002844022695, "GBPUSD": 0.03707694753862725, "USDJPY": 0.06470091542716414 } }, { "intervals": 20, "from": "2024-01-05", "to": "2024-02-02", "volatility": { "EURUSD": 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