{
  "meta": {
    "source": "Cliometry",
    "url": "https://cliometry.com/data/leverage-decay.json",
    "methodology": "레버리지·인버스 ETF의 '설계 배수'(일일 목표)와 다구간 보유 시 '실현 배수'의 차이를 측정. windows는 거래일 기준 20/60/252일 최신 스냅샷 — 기초 누적수익(baseCumPct)·상품 누적수익(levCumPct)·설계배수 기대선(expectedPct)·기대선차(gapPp: 음수=미달[감쇠]·양수=초과[추세장 복리])·실현배수(realizedMultiple = ln(1+상품누적)/ln(1+기초누적))·기초 실현변동성(baseVolAnnPct)·이론 감쇠 근사(theoDragPp = −0.5·k·(k−1)·σ²·기간/252). decay_series_60d는 각 거래일에서 끝나는 trailing-60일 감쇠의 일별 시계열(상장 후 60거래일부터). 종가는 분배금 반영(adjclose) 우선, 매일 전체 누적 시계열로 갱신. 과거 확정 수익률의 기계적 분해이며 매매 신호·방향 예측이 아니다.",
    "data_origin": "Yahoo Finance chart API (레버리지·기초 ETF adjclose)",
    "updated": "2026-07-28T22:04:05.941Z",
    "cadence": "daily",
    "delay_notice": "지연·참조 시세. 미래 실현배수를 예측하지 않으며, 특정 상품 우열 판단이 아님.",
    "license": "CC-BY-4.0",
    "disclaimer": "투자 권유가 아닌 데이터·정보 제공 목적입니다. 특정 종목·상품의 매매 신호가 아닙니다."
  },
  "pairs": [
    {
      "id": "kodex-inverse-2x",
      "label": "KODEX 200선물인버스2X vs KODEX 200",
      "market": "KR",
      "leveraged": "252670.KS",
      "benchmark": "069500.KS",
      "design_multiple": -2,
      "caveat": "인버스2X는 선물 기준 -2배. 기초는 현물 ETF 근사.",
      "first_date": "2016-09-22",
      "observations": 2383,
      "latest_date": "2026-07-28",
      "windows": [
        {
          "days": 20,
          "levCumPct": 71.83,
          "baseCumPct": -29.86,
          "expectedPct": 59.73,
          "gapPp": 12.1,
          "realizedMultiple": -1.53,
          "baseVolAnnPct": 83.39,
          "theoDragPp": -16.56
        },
        {
          "days": 60,
          "levCumPct": -27.81,
          "baseCumPct": -4.57,
          "expectedPct": 9.13,
          "gapPp": -36.95,
          "realizedMultiple": 6.97,
          "baseVolAnnPct": 76.32,
          "theoDragPp": -41.61
        },
        {
          "days": 252,
          "levCumPct": -90.55,
          "baseCumPct": 121.52,
          "expectedPct": -243.04,
          "gapPp": 152.49,
          "realizedMultiple": -2.97,
          "baseVolAnnPct": 51.2,
          "theoDragPp": -78.64
        }
      ],
      "decay_series_60d": [
        {
          "date": "2016-12-16",
          "gapPp": -0.49,
          "realizedMultiple": -2.4,
          "baseVolAnnPct": 11.22
        },
        {
          "date": "2016-12-19",
          "gapPp": -0.23,
          "realizedMultiple": -2.2,
          "baseVolAnnPct": 11.22
        },
        {
          "date": "2016-12-20",
          "gapPp": -0.03,
          "realizedMultiple": -2.08,
          "baseVolAnnPct": 11.2
        },
        {
          "date": "2016-12-21",
          "gapPp": -0.1,
          "realizedMultiple": -2.12,
          "baseVolAnnPct": 11.13
        },
        {
          "date": "2016-12-22",
          "gapPp": -0.12,
          "realizedMultiple": -2.13,
          "baseVolAnnPct": 11.11
        },
        {
          "date": "2016-12-23",
          "gapPp": -0.04,
          "realizedMultiple": null,
          "baseVolAnnPct": 11.02
        },
        {
          "date": "2016-12-26",
          "gapPp": 0.05,
          "realizedMultiple": -2.03,
          "baseVolAnnPct": 10.79
        },
        {
          "date": "2016-12-27",
          "gapPp": 0.21,
          "realizedMultiple": -1.91,
          "baseVolAnnPct": 10.73
        },
        {
          "date": "2016-12-28",
          "gapPp": 0.16,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 10.75
        },
        {
          "date": "2016-12-29",
          "gapPp": 0.11,
          "realizedMultiple": -1.95,
          "baseVolAnnPct": 10.66
        },
        {
          "date": "2017-01-02",
          "gapPp": 0.31,
          "realizedMultiple": -1.9,
          "baseVolAnnPct": 10.66
        },
        {
          "date": "2017-01-03",
          "gapPp": 0.47,
          "realizedMultiple": -1.89,
          "baseVolAnnPct": 10.77
        },
        {
          "date": "2017-01-04",
          "gapPp": 0.57,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 10.34
        },
        {
          "date": "2017-01-05",
          "gapPp": 0.56,
          "realizedMultiple": -1.96,
          "baseVolAnnPct": 10.38
        },
        {
          "date": "2017-01-06",
          "gapPp": 0.78,
          "realizedMultiple": -2,
          "baseVolAnnPct": 10.22
        },
        {
          "date": "2017-01-09",
          "gapPp": 0.72,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 10.19
        },
        {
          "date": "2017-01-10",
          "gapPp": 0.68,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 10.2
        },
        {
          "date": "2017-01-11",
          "gapPp": 0.84,
          "realizedMultiple": -2.02,
          "baseVolAnnPct": 10.72
        },
        {
          "date": "2017-01-12",
          "gapPp": 1.01,
          "realizedMultiple": -2,
          "baseVolAnnPct": 10.73
        },
        {
          "date": "2017-01-13",
          "gapPp": 0.76,
          "realizedMultiple": -2.02,
          "baseVolAnnPct": 10.75
        },
        {
          "date": "2017-01-16",
          "gapPp": 1,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 10.77
        },
        {
          "date": "2017-01-17",
          "gapPp": 0.89,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 10.69
        },
        {
          "date": "2017-01-18",
          "gapPp": 0.68,
          "realizedMultiple": -2.02,
          "baseVolAnnPct": 10.69
        },
        {
          "date": "2017-01-19",
          "gapPp": 1.2,
          "realizedMultiple": -2,
          "baseVolAnnPct": 10.33
        },
        {
          "date": "2017-01-20",
          "gapPp": 1.03,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 10.32
        },
        {
          "date": "2017-01-23",
          "gapPp": 0.89,
          "realizedMultiple": -2.01,
          "baseVolAnnPct": 10.33
        },
        {
          "date": "2017-01-24",
          "gapPp": 0.85,
          "realizedMultiple": -2.03,
          "baseVolAnnPct": 10.31
        },
        {
          "date": "2017-01-25",
          "gapPp": 1,
          "realizedMultiple": -2.02,
          "baseVolAnnPct": 10.32
        },
        {
          "date": "2017-01-26",
          "gapPp": 1.87,
          "realizedMultiple": -2.02,
          "baseVolAnnPct": 9.99
        },
        {
          "date": "2017-01-31",
          "gapPp": 1.49,
          "realizedMultiple": -2.02,
          "baseVolAnnPct": 10.08
        },
        {
          "date": "2017-02-01",
          "gapPp": 1.7,
          "realizedMultiple": -2.03,
          "baseVolAnnPct": 10.04
        },
        {
          "date": "2017-02-02",
          "gapPp": 1.1,
          "realizedMultiple": -2.04,
          "baseVolAnnPct": 9.94
        },
        {
          "date": "2017-02-03",
          "gapPp": 0.99,
          "realizedMultiple": -2.05,
          "baseVolAnnPct": 9.94
        },
        {
          "date": "2017-02-06",
          "gapPp": 2.03,
          "realizedMultiple": -2.04,
          "baseVolAnnPct": 8.85
        },
        {
          "date": "2017-02-07",
          "gapPp": 1.41,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 7.99
        },
        {
          "date": "2017-02-08",
          "gapPp": 1.71,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.75
        },
        {
          "date": "2017-02-09",
          "gapPp": 2.18,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.51
        },
        {
          "date": "2017-02-10",
          "gapPp": 2.43,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.44
        },
        {
          "date": "2017-02-13",
          "gapPp": 2.37,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 7.43
        },
        {
          "date": "2017-02-14",
          "gapPp": 2.21,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.47
        },
        {
          "date": "2017-02-15",
          "gapPp": 2.45,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 7.46
        },
        {
          "date": "2017-02-16",
          "gapPp": 2.34,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 7.44
        },
        {
          "date": "2017-02-17",
          "gapPp": 1.88,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.15
        },
        {
          "date": "2017-02-20",
          "gapPp": 1.95,
          "realizedMultiple": -1.96,
          "baseVolAnnPct": 7.15
        },
        {
          "date": "2017-02-21",
          "gapPp": 2.52,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.2
        },
        {
          "date": "2017-02-22",
          "gapPp": 2.61,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.19
        },
        {
          "date": "2017-02-23",
          "gapPp": 2.58,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 7.19
        },
        {
          "date": "2017-02-24",
          "gapPp": 2.11,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.43
        },
        {
          "date": "2017-02-27",
          "gapPp": 1.54,
          "realizedMultiple": -2,
          "baseVolAnnPct": 7.49
        },
        {
          "date": "2017-02-28",
          "gapPp": 1.66,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 7.49
        },
        {
          "date": "2017-03-02",
          "gapPp": 2.46,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 7.46
        },
        {
          "date": "2017-03-03",
          "gapPp": 2.12,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 7.79
        },
        {
          "date": "2017-03-06",
          "gapPp": 1.51,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 7.46
        },
        {
          "date": "2017-03-07",
          "gapPp": 1.63,
          "realizedMultiple": -1.99,
          "baseVolAnnPct": 7.52
        },
        {
          "date": "2017-03-08",
          "gapPp": 0.76,
          "realizedMultiple": -2.05,
          "baseVolAnnPct": 6.76
        },
        {
          "date": "2017-03-09",
          "gapPp": 1.28,
          "realizedMultiple": -1.93,
          "baseVolAnnPct": 6.79
        },
        {
          "date": "2017-03-10",
          "gapPp": 1.26,
          "realizedMultiple": -1.95,
          "baseVolAnnPct": 6.78
        },
        {
          "date": "2017-03-13",
          "gapPp": 1.67,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 7.09
        },
        {
          "date": "2017-03-14",
          "gapPp": 2.17,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 7.28
        },
        {
          "date": "2017-03-15",
          "gapPp": 2.27,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 7.27
        },
        {
          "date": "2017-03-16",
          "gapPp": 2.41,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 7.37
        },
        {
          "date": "2017-03-17",
          "gapPp": 2.3,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.4
        },
        {
          "date": "2017-03-20",
          "gapPp": 2.26,
          "realizedMultiple": -1.96,
          "baseVolAnnPct": 7.41
        },
        {
          "date": "2017-03-21",
          "gapPp": 2.7,
          "realizedMultiple": -1.98,
          "baseVolAnnPct": 7.58
        },
        {
          "date": "2017-03-22",
          "gapPp": 2.8,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 7.64
        },
        {
          "date": "2017-03-23",
          "gapPp": 2.99,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 7.61
        },
        {
          "date": "2017-03-24",
          "gapPp": 2.57,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 7.64
        },
        {
          "date": "2017-03-27",
          "gapPp": 2.16,
          "realizedMultiple": -1.97,
          "baseVolAnnPct": 7.8
        },
        {
          "date": "2017-03-28",
          "gapPp": 2.25,
          "realizedMultiple": -1.95,
          "baseVolAnnPct": 7.8
        },
        {
          "date": "2017-03-29",
          "gapPp": 2.47,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 7.81
        },
        {
          "date": "2017-03-30",
          "gapPp": 2.1,
          "realizedMultiple": -1.96,
          "baseVolAnnPct": 7.81
        },
        {
          "date": "2017-03-31",
          "gapPp": 1.65,
          "realizedMultiple": -1.96,
          "baseVolAnnPct": 7.71
        },
        {
          "date": "2017-04-03",
          "gapPp": 1.69,
          "realizedMultiple": -1.96,
          "baseVolAnnPct": 7.72
        },
        {
          "date": "2017-04-04",
          "gapPp": 2.06,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 7.67
        },
        {
          "date": "2017-04-05",
          "gapPp": 1.8,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 7.67
        },
        {
          "date": "2017-04-06",
          "gapPp": 1.61,
          "realizedMultiple": -1.9,
          "baseVolAnnPct": 7.73
        },
        {
          "date": "2017-04-07",
          "gapPp": 1.49,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 7.74
        },
        {
          "date": "2017-04-10",
          "gapPp": 1.16,
          "realizedMultiple": -1.77,
          "baseVolAnnPct": 7.01
        },
        {
          "date": "2017-04-11",
          "gapPp": 1.07,
          "realizedMultiple": -1.71,
          "baseVolAnnPct": 7.06
        },
        {
          "date": "2017-04-12",
          "gapPp": 1.06,
          "realizedMultiple": -1.76,
          "baseVolAnnPct": 7.04
        },
        {
          "date": "2017-04-13",
          "gapPp": 1.31,
          "realizedMultiple": -1.85,
          "baseVolAnnPct": 7.15
        },
        {
          "date": "2017-04-14",
          "gapPp": 1.04,
          "realizedMultiple": -1.84,
          "baseVolAnnPct": 7.2
        },
        {
          "date": "2017-04-17",
          "gapPp": 1.15,
          "realizedMultiple": -1.84,
          "baseVolAnnPct": 7.2
        },
        {
          "date": "2017-04-18",
          "gapPp": 1.03,
          "realizedMultiple": -1.86,
          "baseVolAnnPct": 7.21
        },
        {
          "date": "2017-04-19",
          "gapPp": 1,
          "realizedMultiple": -1.84,
          "baseVolAnnPct": 7.27
        },
        {
          "date": "2017-04-20",
          "gapPp": 1.35,
          "realizedMultiple": -1.8,
          "baseVolAnnPct": 7.3
        },
        {
          "date": "2017-04-21",
          "gapPp": 1.41,
          "realizedMultiple": -1.86,
          "baseVolAnnPct": 7.46
        },
        {
          "date": "2017-04-24",
          "gapPp": 1.46,
          "realizedMultiple": -1.87,
          "baseVolAnnPct": 7.49
        },
        {
          "date": "2017-04-25",
          "gapPp": 1.43,
          "realizedMultiple": -1.89,
          "baseVolAnnPct": 7.59
        },
        {
          "date": "2017-04-26",
          "gapPp": 1.66,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 7.54
        },
        {
          "date": "2017-04-27",
          "gapPp": 1.75,
          "realizedMultiple": -1.91,
          "baseVolAnnPct": 7.53
        },
        {
          "date": "2017-04-28",
          "gapPp": 2.27,
          "realizedMultiple": -1.87,
          "baseVolAnnPct": 7.46
        },
        {
          "date": "2017-05-02",
          "gapPp": 2.51,
          "realizedMultiple": -1.89,
          "baseVolAnnPct": 7.59
        },
        {
          "date": "2017-05-04",
          "gapPp": 2.73,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 7.79
        },
        {
          "date": "2017-05-08",
          "gapPp": 4.16,
          "realizedMultiple": -1.95,
          "baseVolAnnPct": 9.27
        },
        {
          "date": "2017-05-10",
          "gapPp": 3.72,
          "realizedMultiple": -1.95,
          "baseVolAnnPct": 9.54
        },
        {
          "date": "2017-05-11",
          "gapPp": 4.75,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 9.79
        },
        {
          "date": "2017-05-12",
          "gapPp": 4.26,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 9.87
        },
        {
          "date": "2017-05-15",
          "gapPp": 4.25,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 9.87
        },
        {
          "date": "2017-05-16",
          "gapPp": 4.59,
          "realizedMultiple": -1.93,
          "baseVolAnnPct": 9.82
        },
        {
          "date": "2017-05-17",
          "gapPp": 4.51,
          "realizedMultiple": -1.91,
          "baseVolAnnPct": 9.83
        },
        {
          "date": "2017-05-18",
          "gapPp": 4.37,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 9.85
        },
        {
          "date": "2017-05-19",
          "gapPp": 4.21,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 9.87
        },
        {
          "date": "2017-05-22",
          "gapPp": 4.57,
          "realizedMultiple": -1.92,
          "baseVolAnnPct": 9.95
        },
        {
          "date": "2017-05-23",
          "gapPp": 4.16,
          "realizedMultiple": -1.91,
          "baseVolAnnPct": 9.84
        },
        {
          "date": "2017-05-24",
          "gapPp": 4.1,
          "realizedMultiple": -1.91,
          "baseVolAnnPct": 9.84
        },
        {
          "date": "2017-05-25",
          "gapPp": 4.64,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 10.04
        },
        {
          "date": "2017-05-26",
          "gapPp": 5.61,
          "realizedMultiple": -1.95,
          "baseVolAnnPct": 9.88
        },
        {
          "date": "2017-05-29",
          "gapPp": 6.02,
          "realizedMultiple": -1.93,
          "baseVolAnnPct": 9.8
        },
        {
          "date": "2017-05-30",
          "gapPp": 5.31,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 9.97
        },
        {
          "date": "2017-05-31",
          "gapPp": 4.65,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 9.87
        },
        {
          "date": "2017-06-01",
          "gapPp": 5.01,
          "realizedMultiple": -1.95,
          "baseVolAnnPct": 9.62
        },
        {
          "date": "2017-06-02",
          "gapPp": 5.97,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 9.84
        },
        {
          "date": "2017-06-05",
          "gapPp": 5.37,
          "realizedMultiple": -1.94,
          "baseVolAnnPct": 9.84
        },
        {
          "date": "2017-06-07",
          "gapPp": 4.76,
          "realizedMultiple": -1.95,
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        },
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        },
        {
          "date": "2026-07-03",
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          "realizedMultiple": -2.64,
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        },
        {
          "date": "2026-07-06",
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        },
        {
          "date": "2026-07-07",
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        },
        {
          "date": "2026-07-08",
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        },
        {
          "date": "2026-07-09",
          "gapPp": 7.8,
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        },
        {
          "date": "2026-07-10",
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        },
        {
          "date": "2026-07-13",
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          "realizedMultiple": -3.76,
          "baseVolAnnPct": 67.73
        },
        {
          "date": "2026-07-14",
          "gapPp": -11.89,
          "realizedMultiple": -3.97,
          "baseVolAnnPct": 67.6
        },
        {
          "date": "2026-07-15",
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          "realizedMultiple": -3.63,
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        },
        {
          "date": "2026-07-16",
          "gapPp": -15.36,
          "realizedMultiple": -4.33,
          "baseVolAnnPct": 70.1
        },
        {
          "date": "2026-07-20",
          "gapPp": -21.64,
          "realizedMultiple": -5.55,
          "baseVolAnnPct": 70.8
        },
        {
          "date": "2026-07-21",
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        },
        {
          "date": "2026-07-22",
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          "baseVolAnnPct": 71.04
        },
        {
          "date": "2026-07-23",
          "gapPp": -16.75,
          "realizedMultiple": -4.5,
          "baseVolAnnPct": 71.56
        },
        {
          "date": "2026-07-24",
          "gapPp": -24.34,
          "realizedMultiple": -6.38,
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        },
        {
          "date": "2026-07-27",
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        },
        {
          "date": "2026-07-28",
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      ]
    },
    {
      "id": "kodex-lev-2x",
      "label": "KODEX 레버리지 vs KODEX 200",
      "market": "KR",
      "leveraged": "122630.KS",
      "benchmark": "069500.KS",
      "design_multiple": 2,
      "caveat": "레버리지는 KOSPI200 선물, 기초는 현물 ETF를 비교 대상으로 쓴 근사치.",
      "first_date": "2016-07-22",
      "observations": 2424,
      "latest_date": "2026-07-28",
      "windows": [
        {
          "days": 20,
          "levCumPct": -54.64,
          "baseCumPct": -29.86,
          "expectedPct": -59.73,
          "gapPp": 5.09,
          "realizedMultiple": 2.23,
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        },
        {
          "days": 60,
          "levCumPct": -22.52,
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          "expectedPct": -9.13,
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          "realizedMultiple": 5.46,
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        },
        {
          "days": 252,
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          "theoDragPp": -26.21
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      ],
      "decay_series_60d": [
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          "date": "2016-10-21",
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        },
        {
          "date": "2016-10-24",
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          "realizedMultiple": 1.74,
          "baseVolAnnPct": 10.88
        },
        {
          "date": "2016-10-25",
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          "realizedMultiple": 1.64,
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        },
        {
          "date": "2016-10-26",
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          "baseVolAnnPct": 11.06
        },
        {
          "date": "2016-10-27",
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          "realizedMultiple": 1.68,
          "baseVolAnnPct": 11.08
        },
        {
          "date": "2016-10-28",
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          "baseVolAnnPct": 11.08
        },
        {
          "date": "2016-10-31",
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        },
        {
          "date": "2016-11-01",
          "gapPp": -0.93,
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          "baseVolAnnPct": 10.84
        },
        {
          "date": "2016-11-02",
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        },
        {
          "date": "2016-11-03",
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        },
        {
          "date": "2016-11-04",
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          "baseVolAnnPct": 10.68
        },
        {
          "date": "2016-11-07",
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        },
        {
          "date": "2016-11-08",
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        {
          "date": "2016-11-09",
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          "baseVolAnnPct": 11.43
        },
        {
          "date": "2016-11-10",
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          "baseVolAnnPct": 12.15
        },
        {
          "date": "2016-11-11",
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          "realizedMultiple": 2.87,
          "baseVolAnnPct": 12.3
        },
        {
          "date": "2016-11-14",
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          "baseVolAnnPct": 12.4
        },
        {
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        },
        {
          "date": "2016-11-16",
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        },
        {
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          "baseVolAnnPct": 12.33
        },
        {
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          "realizedMultiple": 2.44,
          "baseVolAnnPct": 12.28
        },
        {
          "date": "2016-11-21",
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          "baseVolAnnPct": 12.23
        },
        {
          "date": "2016-11-22",
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          "baseVolAnnPct": 12.44
        },
        {
          "date": "2016-11-23",
          "gapPp": -1.01,
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          "baseVolAnnPct": 12.46
        },
        {
          "date": "2016-11-24",
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          "baseVolAnnPct": 12.48
        },
        {
          "date": "2016-11-25",
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        },
        {
          "date": "2016-11-28",
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          "realizedMultiple": 2.69,
          "baseVolAnnPct": 12.46
        },
        {
          "date": "2016-11-29",
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        },
        {
          "date": "2016-11-30",
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          "realizedMultiple": null,
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        },
        {
          "date": "2016-12-01",
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        },
        {
          "date": "2016-12-02",
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        },
        {
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        {
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        },
        {
          "date": "2016-12-07",
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        {
          "date": "2016-12-09",
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        },
        {
          "date": "2016-12-12",
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        {
          "date": "2016-12-13",
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        {
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        {
          "date": "2016-12-15",
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        {
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        {
          "date": "2016-12-19",
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          "realizedMultiple": 1.34,
          "baseVolAnnPct": 11.22
        },
        {
          "date": "2016-12-20",
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          "baseVolAnnPct": 11.2
        },
        {
          "date": "2016-12-21",
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          "baseVolAnnPct": 11.13
        },
        {
          "date": "2016-12-22",
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          "baseVolAnnPct": 11.11
        },
        {
          "date": "2016-12-23",
          "gapPp": -1.2,
          "realizedMultiple": null,
          "baseVolAnnPct": 11.02
        },
        {
          "date": "2016-12-26",
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        {
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        {
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        {
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        },
        {
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        {
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        },
        {
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        {
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        {
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        {
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          "realizedMultiple": 1.78,
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        },
        {
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        },
        {
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        },
        {
          "date": "2017-01-20",
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        },
        {
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        {
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        },
        {
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        },
        {
          "date": "2017-02-06",
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        },
        {
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        },
        {
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        },
        {
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          "gapPp": 0.09,
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        },
        {
          "date": "2017-02-17",
          "gapPp": -0.15,
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        },
        {
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        },
        {
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        },
        {
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          "gapPp": 0.07,
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        },
        {
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          "gapPp": -0.05,
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        },
        {
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        },
        {
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        {
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        {
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        },
        {
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        {
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        },
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        },
        {
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        },
        {
          "date": "2017-03-09",
          "gapPp": -0.39,
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        },
        {
          "date": "2017-03-10",
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        {
          "date": "2017-03-13",
          "gapPp": -0.28,
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        {
          "date": "2017-03-14",
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        },
        {
          "date": "2017-03-15",
          "gapPp": -0.41,
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        },
        {
          "date": "2017-03-16",
          "gapPp": -0.2,
          "realizedMultiple": 1.9,
          "baseVolAnnPct": 7.37
        },
        {
          "date": "2017-03-17",
          "gapPp": 0.11,
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        },
        {
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          "gapPp": -0.01,
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        },
        {
          "date": "2017-03-21",
          "gapPp": 0.14,
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        },
        {
          "date": "2017-03-22",
          "gapPp": -0.08,
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        {
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        {
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        },
        {
          "date": "2026-05-21",
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        },
        {
          "date": "2026-05-22",
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        },
        {
          "date": "2026-05-26",
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          "date": "2026-05-27",
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          "date": "2026-05-28",
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          "date": "2026-05-29",
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          "date": "2026-06-01",
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          "date": "2026-06-02",
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        },
        {
          "date": "2026-06-04",
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        {
          "date": "2026-06-05",
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        {
          "date": "2026-06-08",
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        },
        {
          "date": "2026-06-09",
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        },
        {
          "date": "2026-06-10",
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        },
        {
          "date": "2026-06-11",
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          "baseVolAnnPct": 59.98
        },
        {
          "date": "2026-06-12",
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        {
          "date": "2026-06-15",
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        },
        {
          "date": "2026-06-16",
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        },
        {
          "date": "2026-06-17",
          "gapPp": 16.15,
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        {
          "date": "2026-06-18",
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          "baseVolAnnPct": 60.09
        },
        {
          "date": "2026-06-19",
          "gapPp": 39.92,
          "realizedMultiple": 1.86,
          "baseVolAnnPct": 58.09
        },
        {
          "date": "2026-06-22",
          "gapPp": 33.48,
          "realizedMultiple": 1.84,
          "baseVolAnnPct": 57.94
        },
        {
          "date": "2026-06-23",
          "gapPp": 8.25,
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        },
        {
          "date": "2026-06-24",
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        },
        {
          "date": "2026-06-25",
          "gapPp": 31.98,
          "realizedMultiple": 1.82,
          "baseVolAnnPct": 62.87
        },
        {
          "date": "2026-06-26",
          "gapPp": 23.59,
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          "baseVolAnnPct": 63.86
        },
        {
          "date": "2026-06-29",
          "gapPp": 35.44,
          "realizedMultiple": 1.83,
          "baseVolAnnPct": 63.06
        },
        {
          "date": "2026-06-30",
          "gapPp": 17.93,
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          "baseVolAnnPct": 60.91
        },
        {
          "date": "2026-07-01",
          "gapPp": 22.61,
          "realizedMultiple": 1.8,
          "baseVolAnnPct": 60.25
        },
        {
          "date": "2026-07-02",
          "gapPp": 4.98,
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          "baseVolAnnPct": 62.94
        },
        {
          "date": "2026-07-03",
          "gapPp": 10.01,
          "realizedMultiple": 1.77,
          "baseVolAnnPct": 63.84
        },
        {
          "date": "2026-07-06",
          "gapPp": 6.63,
          "realizedMultiple": 1.75,
          "baseVolAnnPct": 63.92
        },
        {
          "date": "2026-07-07",
          "gapPp": -5.38,
          "realizedMultiple": 1.66,
          "baseVolAnnPct": 63.45
        },
        {
          "date": "2026-07-08",
          "gapPp": -6.76,
          "realizedMultiple": 1.63,
          "baseVolAnnPct": 64.49
        },
        {
          "date": "2026-07-09",
          "gapPp": -7.39,
          "realizedMultiple": 1.62,
          "baseVolAnnPct": 64.45
        },
        {
          "date": "2026-07-10",
          "gapPp": -6.08,
          "realizedMultiple": 1.65,
          "baseVolAnnPct": 64.5
        },
        {
          "date": "2026-07-13",
          "gapPp": -12.32,
          "realizedMultiple": 1.36,
          "baseVolAnnPct": 67.73
        },
        {
          "date": "2026-07-14",
          "gapPp": -13.08,
          "realizedMultiple": 1.28,
          "baseVolAnnPct": 67.6
        },
        {
          "date": "2026-07-15",
          "gapPp": -12.38,
          "realizedMultiple": 1.41,
          "baseVolAnnPct": 68.62
        },
        {
          "date": "2026-07-16",
          "gapPp": -14.59,
          "realizedMultiple": 1.1,
          "baseVolAnnPct": 70.1
        },
        {
          "date": "2026-07-20",
          "gapPp": -14.94,
          "realizedMultiple": 0.61,
          "baseVolAnnPct": 70.8
        },
        {
          "date": "2026-07-21",
          "gapPp": -15.1,
          "realizedMultiple": 0.76,
          "baseVolAnnPct": 71.04
        },
        {
          "date": "2026-07-22",
          "gapPp": -14.74,
          "realizedMultiple": 0.76,
          "baseVolAnnPct": 71.04
        },
        {
          "date": "2026-07-23",
          "gapPp": -15.32,
          "realizedMultiple": 1.02,
          "baseVolAnnPct": 71.56
        },
        {
          "date": "2026-07-24",
          "gapPp": -15.16,
          "realizedMultiple": 0.33,
          "baseVolAnnPct": 72.74
        },
        {
          "date": "2026-07-27",
          "gapPp": -14.96,
          "realizedMultiple": 0.12,
          "baseVolAnnPct": 72.65
        },
        {
          "date": "2026-07-28",
          "gapPp": -13.38,
          "realizedMultiple": 5.46,
          "baseVolAnnPct": 76.32
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      ]
    },
    {
      "id": "soxl-3x",
      "label": "SOXL vs SOXX (반도체)",
      "market": "US",
      "leveraged": "SOXL",
      "benchmark": "SOXX",
      "design_multiple": 3,
      "caveat": "SOXL의 추종 지수(ICE 반도체)와 SOXX 보유 구성은 완전히 같지 않다.",
      "first_date": "2016-07-22",
      "observations": 2517,
      "latest_date": "2026-07-28",
      "windows": [
        {
          "days": 20,
          "levCumPct": -53.69,
          "baseCumPct": -20,
          "expectedPct": -60.01,
          "gapPp": 6.32,
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          "theoDragPp": -7.96
        },
        {
          "days": 60,
          "levCumPct": -13.73,
          "baseCumPct": 6.56,
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          "theoDragPp": -30.15
        },
        {
          "days": 252,
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          "theoDragPp": -56.41
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      ],
      "decay_series_60d": [
        {
          "date": "2016-10-17",
          "gapPp": -0.83,
          "realizedMultiple": 2.7,
          "baseVolAnnPct": 17.29
        },
        {
          "date": "2016-10-18",
          "gapPp": -0.18,
          "realizedMultiple": 2.75,
          "baseVolAnnPct": 17.4
        },
        {
          "date": "2016-10-19",
          "gapPp": -2.23,
          "realizedMultiple": 2.45,
          "baseVolAnnPct": 15.61
        },
        {
          "date": "2016-10-20",
          "gapPp": -1.34,
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          "baseVolAnnPct": 15.66
        },
        {
          "date": "2016-10-21",
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          "realizedMultiple": 2.64,
          "baseVolAnnPct": 15.62
        },
        {
          "date": "2016-10-24",
          "gapPp": -0.27,
          "realizedMultiple": 2.76,
          "baseVolAnnPct": 15.97
        },
        {
          "date": "2016-10-25",
          "gapPp": -0.69,
          "realizedMultiple": 2.72,
          "baseVolAnnPct": 15.98
        },
        {
          "date": "2016-10-26",
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          "realizedMultiple": 2.78,
          "baseVolAnnPct": 15.61
        },
        {
          "date": "2016-10-27",
          "gapPp": -0.46,
          "realizedMultiple": 2.73,
          "baseVolAnnPct": 15.66
        },
        {
          "date": "2016-10-28",
          "gapPp": -0.82,
          "realizedMultiple": 2.71,
          "baseVolAnnPct": 15.65
        },
        {
          "date": "2016-10-31",
          "gapPp": -1.11,
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          "baseVolAnnPct": 15.49
        },
        {
          "date": "2016-11-01",
          "gapPp": -1.5,
          "realizedMultiple": 2.62,
          "baseVolAnnPct": 15.62
        },
        {
          "date": "2016-11-02",
          "gapPp": -2.03,
          "realizedMultiple": 2.44,
          "baseVolAnnPct": 15.62
        },
        {
          "date": "2016-11-03",
          "gapPp": -1.77,
          "realizedMultiple": 2.54,
          "baseVolAnnPct": 15.55
        },
        {
          "date": "2016-11-04",
          "gapPp": -2.14,
          "realizedMultiple": 2.37,
          "baseVolAnnPct": 15.6
        },
        {
          "date": "2016-11-07",
          "gapPp": -1.48,
          "realizedMultiple": 2.63,
          "baseVolAnnPct": 16.57
        },
        {
          "date": "2016-11-08",
          "gapPp": -1.78,
          "realizedMultiple": 2.54,
          "baseVolAnnPct": 16.37
        },
        {
          "date": "2016-11-09",
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          "baseVolAnnPct": 16.33
        },
        {
          "date": "2016-11-10",
          "gapPp": -2.18,
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          "baseVolAnnPct": 16.97
        },
        {
          "date": "2016-11-11",
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          "baseVolAnnPct": 18.61
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        {
          "date": "2016-11-14",
          "gapPp": -2.73,
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          "baseVolAnnPct": 18.58
        },
        {
          "date": "2016-11-15",
          "gapPp": -2.18,
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          "baseVolAnnPct": 18.94
        },
        {
          "date": "2016-11-16",
          "gapPp": -2.14,
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          "baseVolAnnPct": 19.04
        },
        {
          "date": "2016-11-17",
          "gapPp": -1.12,
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          "baseVolAnnPct": 19.04
        },
        {
          "date": "2016-11-18",
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          "baseVolAnnPct": 19.07
        },
        {
          "date": "2016-11-21",
          "gapPp": -1.93,
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        },
        {
          "date": "2016-11-22",
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        },
        {
          "date": "2016-11-23",
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          "baseVolAnnPct": 19.16
        },
        {
          "date": "2016-11-25",
          "gapPp": -0.04,
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        },
        {
          "date": "2016-11-28",
          "gapPp": -0.95,
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          "baseVolAnnPct": 19.13
        },
        {
          "date": "2016-11-29",
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        },
        {
          "date": "2016-11-30",
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        },
        {
          "date": "2016-12-01",
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        },
        {
          "date": "2016-12-02",
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        },
        {
          "date": "2016-12-05",
          "gapPp": 0.14,
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          "baseVolAnnPct": 20.57
        },
        {
          "date": "2016-12-06",
          "gapPp": -0.63,
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          "baseVolAnnPct": 20.42
        },
        {
          "date": "2016-12-07",
          "gapPp": 2.12,
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          "baseVolAnnPct": 20.65
        },
        {
          "date": "2016-12-08",
          "gapPp": 1.73,
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          "baseVolAnnPct": 20.65
        },
        {
          "date": "2016-12-09",
          "gapPp": -0.48,
          "realizedMultiple": 2.69,
          "baseVolAnnPct": 20.23
        },
        {
          "date": "2016-12-12",
          "gapPp": -0.87,
          "realizedMultiple": 2.67,
          "baseVolAnnPct": 20.32
        },
        {
          "date": "2016-12-13",
          "gapPp": -0.58,
          "realizedMultiple": 2.68,
          "baseVolAnnPct": 20.42
        },
        {
          "date": "2016-12-14",
          "gapPp": -0.38,
          "realizedMultiple": 2.68,
          "baseVolAnnPct": 20.39
        },
        {
          "date": "2016-12-15",
          "gapPp": 0.31,
          "realizedMultiple": 2.72,
          "baseVolAnnPct": 20.48
        },
        {
          "date": "2016-12-16",
          "gapPp": -1.2,
          "realizedMultiple": 2.64,
          "baseVolAnnPct": 20.63
        },
        {
          "date": "2016-12-19",
          "gapPp": 0.61,
          "realizedMultiple": 2.72,
          "baseVolAnnPct": 20.54
        },
        {
          "date": "2016-12-20",
          "gapPp": 2.52,
          "realizedMultiple": 2.77,
          "baseVolAnnPct": 20.44
        },
        {
          "date": "2016-12-21",
          "gapPp": 0.78,
          "realizedMultiple": 2.73,
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        },
        {
          "date": "2016-12-22",
          "gapPp": 1.16,
          "realizedMultiple": 2.74,
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        },
        {
          "date": "2016-12-23",
          "gapPp": 0.56,
          "realizedMultiple": 2.72,
          "baseVolAnnPct": 20.12
        },
        {
          "date": "2016-12-27",
          "gapPp": 0.37,
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        {
          "date": "2016-12-28",
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          "realizedMultiple": 2.67,
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        {
          "date": "2016-12-29",
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        },
        {
          "date": "2016-12-30",
          "gapPp": -2.21,
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        {
          "date": "2017-01-03",
          "gapPp": -2.24,
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        },
        {
          "date": "2017-01-04",
          "gapPp": -1.79,
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          "baseVolAnnPct": 20.65
        },
        {
          "date": "2017-01-05",
          "gapPp": -2.25,
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        },
        {
          "date": "2017-01-06",
          "gapPp": -0.47,
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        {
          "date": "2017-01-09",
          "gapPp": 0.76,
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          "baseVolAnnPct": 20.26
        },
        {
          "date": "2017-01-10",
          "gapPp": 2.53,
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        },
        {
          "date": "2017-01-11",
          "gapPp": 1.77,
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        {
          "date": "2017-01-12",
          "gapPp": 1.55,
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        },
        {
          "date": "2017-01-13",
          "gapPp": 0.8,
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          "baseVolAnnPct": 20.01
        },
        {
          "date": "2017-01-17",
          "gapPp": 0.08,
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        },
        {
          "date": "2017-01-18",
          "gapPp": 0.59,
          "realizedMultiple": 2.73,
          "baseVolAnnPct": 20.44
        },
        {
          "date": "2017-01-19",
          "gapPp": 0.46,
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        },
        {
          "date": "2017-01-20",
          "gapPp": 0.05,
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        },
        {
          "date": "2017-01-23",
          "gapPp": -0.58,
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        },
        {
          "date": "2017-01-24",
          "gapPp": 1.27,
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        },
        {
          "date": "2017-01-25",
          "gapPp": 2.92,
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        },
        {
          "date": "2017-01-26",
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        },
        {
          "date": "2017-01-27",
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        },
        {
          "date": "2017-01-30",
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        {
          "date": "2017-01-31",
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        },
        {
          "date": "2017-02-01",
          "gapPp": 5.65,
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        },
        {
          "date": "2017-02-02",
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        },
        {
          "date": "2017-02-03",
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        {
          "date": "2017-02-06",
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        },
        {
          "date": "2017-02-07",
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        {
          "date": "2017-02-08",
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        },
        {
          "date": "2017-02-09",
          "gapPp": 3.01,
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          "baseVolAnnPct": 18.4
        },
        {
          "date": "2017-02-10",
          "gapPp": 3.6,
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        },
        {
          "date": "2017-02-13",
          "gapPp": 2.02,
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          "baseVolAnnPct": 18.02
        },
        {
          "date": "2017-02-14",
          "gapPp": 0.54,
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        },
        {
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          "realizedMultiple": 1.93,
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        },
        {
          "date": "2026-07-16",
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        },
        {
          "date": "2026-07-17",
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          "realizedMultiple": 1.5,
          "baseVolAnnPct": 64.14
        },
        {
          "date": "2026-07-20",
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          "realizedMultiple": 1.33,
          "baseVolAnnPct": 63.97
        },
        {
          "date": "2026-07-21",
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          "realizedMultiple": 1.51,
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        },
        {
          "date": "2026-07-22",
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        },
        {
          "date": "2026-07-23",
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        {
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      ]
    },
    {
      "id": "tqqq-3x",
      "label": "TQQQ vs QQQ (나스닥100)",
      "market": "US",
      "leveraged": "TQQQ",
      "benchmark": "QQQ",
      "design_multiple": 3,
      "caveat": "동일 지수 추종이라 쌍 정합성은 가장 높다.",
      "first_date": "2016-07-22",
      "observations": 2517,
      "latest_date": "2026-07-28",
      "windows": [
        {
          "days": 20,
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