美股短期均值回歸(槓桿 ETF)
QQQ 站上 200 日均線且 126 日報酬為正時,持有 TQQQ、TECL 中近 3 個交易日表現較差的一檔;否則持有 IEF、GLD、SHY 中最強的一檔。月換股、8% 停損。2016 年 5 月至 2026 年 10 月回測年化報酬 51.9%、日夏普 1.38、最大回撤 -27.8%;同視窗 QQQ 含息年化 20.7%、日夏普 0.95、最大回撤 -35.1%。鄰近參數、前後兩段、每邊 0.1% 交易成本三項驗證皆通過。
投資警語:本文僅供教學參考,不構成投資建議。過去績效不代表未來表現,投資有風險。
回測績效
- 年化報酬率
- 51.9%
- 日夏普
- 1.38
- 最大回撤
- -27.8%
- 總報酬率
- 7915%
回測不計手續費與交易稅(finlab 套件 sim() 的美股預設成本),日夏普未扣無風險利率。策略淨值自資料可得日(2016-05-02)起算。
淨值曲線(對數座標)
美股短期均值回歸(槓桿 ETF)QQQ 買進持有(含息)
與 QQQ 買進持有(含息)對照
| 對象 | 年化報酬率 | 日夏普 | 最大回撤 | 統計視窗 |
|---|---|---|---|---|
| 美股短期均值回歸(槓桿 ETF) | 51.9% | 1.38 | -27.8% | 2016-05-02 〜 2026-10-26 |
| QQQ 買進持有(含息) | 20.7% | 0.95 | -35.1% | 2016-05-02 〜 2026-10-26 |
完整策略程式碼
安裝 finlab 套件後即可直接執行重現(finlab.login() 會自動引導登入,不需手動填 token)。想用 AI 輔助安裝與跑第一次回測,可以走安裝教學。
展開程式碼(strategy.py)
"""US short-term reversal ETF-timing strategy (FinLab).
Inside a positive QQQ trend regime, hold whichever of two leveraged growth
ETFs (TQQQ / TECL) lagged over the last 3 trading days. When the regime turns
risk-off, rotate into the strongest defensive asset (IEF / GLD / SHY).
Monthly rebalance, one holding at a time, 8% intramonth stop-loss.
Complete the AI-assisted setup flow at https://finlab.finance/en/setup before running this file.
python strategy.py # backtest
python strategy.py --validate # robustness checks from the article
"""
import sys
import finlab
from finlab import data
from finlab.backtest import sim
from finlab.dataframe import FinlabDataFrame
RISK_ASSETS = ["TQQQ", "TECL"]
DEFENSIVE_ASSETS = ["IEF", "GLD", "SHY"]
def build_position(reversal_days=3, trend_window=200):
data.set_market("us_fund")
close = data.get("us_fund_price:adj_close")[["QQQ"] + RISK_ASSETS + DEFENSIVE_ASSETS]
# Regime filter: QQQ above its 200-day average AND positive 6-month momentum.
qqq_trend = close["QQQ"] > close["QQQ"].rolling(trend_window, min_periods=trend_window // 2).mean()
qqq_momentum = close["QQQ"] / close["QQQ"].shift(126) - 1
risk_on = qqq_trend & (qqq_momentum > 0)
# Reversal signal: rank the leveraged ETFs by NEGATIVE 3-day return,
# so the recent laggard scores highest.
reversal_score = FinlabDataFrame(-(close[RISK_ASSETS] / close[RISK_ASSETS].shift(reversal_days) - 1))
# Defensive sleeve: strongest 3-month-minus-1-month momentum among IEF/GLD/SHY.
defensive_score = FinlabDataFrame(
close[DEFENSIVE_ASSETS].pct_change(63) - close[DEFENSIVE_ASSETS].pct_change(21)
)
risky_position = reversal_score.is_largest(1) & risk_on.to_frame().reindex(reversal_score.index).iloc[:, 0]
defensive_position = (
defensive_score.is_largest(1) & (~risk_on).to_frame().reindex(defensive_score.index).iloc[:, 0]
)
position = (
risky_position.reindex(close.index).fillna(False).astype(float)
.join(defensive_position.reindex(close.index).fillna(False).astype(float), how="outer")
.fillna(0)
.T.groupby(level=0).max().T
)
return position.loc["2016-01-01":]
def run_backtest(position, fee_ratio=None):
data.set_market("us_fund")
return sim(
position,
resample="M",
name="us_short_term_reversal_etf",
upload=False,
fee_ratio=fee_ratio, # None = finlab's US default (0 commission, 0 tax)
trade_at_price="close",
position_limit=1,
stop_loss=0.08,
touched_exit=True,
)
# ---------------------------------------------------------------------------
# Robustness checks behind the article's validation section:
# python strategy.py --validate
# "Beats QQQ" means a higher daily Sharpe than buying and holding QQQ
# (dividend-adjusted) over exactly the same dates.
# ---------------------------------------------------------------------------
COST_PER_SIDE = 0.001 # 0.1% per buy and per sell, for spread and slippage
def daily_sharpe(equity):
returns = equity.pct_change().dropna()
return returns.mean() / returns.std() * 252 ** 0.5
def sharpe_vs_qqq(equity):
qqq = data.get("us_fund_price:adj_close")["QQQ"].reindex(equity.index).ffill()
return daily_sharpe(equity), daily_sharpe(qqq)
def validate():
# 1. Neighbouring parameters: the original value and one step either side.
wins = 0
for reversal_days in (2, 3, 4):
for trend_window in (150, 200, 250):
report = run_backtest(build_position(reversal_days=reversal_days, trend_window=trend_window))
strategy, qqq = sharpe_vs_qqq(report.creturn)
wins += strategy > qqq
print(f"{reversal_days}-day laggard QQQ>{trend_window}d MA: Sharpe {strategy:.2f} vs QQQ {qqq:.2f}")
print(f"{wins}/9 parameter sets beat QQQ")
# 2. First half and second half of the backtest, each on its own.
position = build_position()
equity = run_backtest(position).creturn
middle = equity.index[len(equity) // 2]
for label, part in (("first half", equity.loc[:middle]), ("second half", equity.loc[middle:])):
strategy, qqq = sharpe_vs_qqq(part)
print(f"{label} {part.index[0].date()} to {part.index[-1].date()}: "
f"Sharpe {strategy:.2f} vs QQQ {qqq:.2f}")
# 3. Trading costs: finlab's US default is zero, so charge 0.1% per side.
report = run_backtest(position, fee_ratio=COST_PER_SIDE)
strategy, qqq = sharpe_vs_qqq(report.creturn)
print(f"with 0.1% per side: CAGR {report.get_stats()['cagr']:.1%}, "
f"Sharpe {strategy:.2f} vs QQQ {qqq:.2f}")
def main():
finlab.login() # opens a browser prompt; no token needed in the script
if "--validate" in sys.argv:
validate()
return
report = run_backtest(build_position())
print(report.get_stats())
report.display()
if __name__ == "__main__":
main()
在 Studio 裡用同一套真實資料調整條件、重跑回測。