Skip to main content

Backtest window 2016-05-02 to 2026-10-26 · Data as of 2026-10-27

US low-volatility timing (2x leveraged ETFs)

When QQQ is above its 200-day average with a positive 126-day return, holds the stronger of QLD and SSO; otherwise holds the strongest of IEF, GLD and SHY. Monthly rebalance, 6% stop. May 2016 to October 2026: 29.3% CAGR, daily Sharpe 1.29, max drawdown -22.2%, vs QQQ total return 20.7%, 0.95 and -35.1% over the same dates. Passes all three robustness checks: neighbouring parameters, both halves of the backtest, and 0.1% per-side trading costs.

Disclaimer: for education only, not investment advice. Past performance does not guarantee future results, and investing involves risk.

Backtest performance

CAGR
29.3%
Daily Sharpe
1.29
Max drawdown
-22.2%
Total return
1377%

The backtest charges no commissions or taxes (the finlab sim() default for U.S. stocks), and the daily Sharpe ratio does not subtract a risk-free rate. The equity curve starts on the first date the strategy's data is available (2016-05-02).

Equity curve (log scale)

US low-volatility timing (2x leveraged ETFs) vs QQQ buy-and-hold (total return)
1x2x3x5x8x12x2016-05-022018-01-232019-10-172021-07-152023-04-112025-01-272026-10-26
US low-volatility timing (2x leveraged ETFs)QQQ buy-and-hold (total return)

Compared with QQQ buy-and-hold (total return)

PortfolioCAGRDaily SharpeMax drawdownWindow
US low-volatility timing (2x leveraged ETFs)29.3%1.29-22.2%2016-05-02 to 2026-10-26
QQQ buy-and-hold (total return)20.7%0.95-35.1%2016-05-02 to 2026-10-26

Full strategy code

Install the finlab package and run it as is (finlab.login() walks you through sign-in, no token needed). For AI-assisted setup and a first backtest, follow the setup guide.

Show code (strategy.py)
"""US low-volatility defensive compounder -> moderate-leverage ETF strategy (FinLab).

A trend/momentum regime filter on QQQ decides between two books: in risk-on it
holds the stronger of two 2x leveraged index ETFs (QLD / SSO); in risk-off it
rotates into the strongest defensive ETF (IEF / GLD / SHY). Using 2x instead of
3x leverage lowers volatility drag and path dependency. Reproduces the backtest
in the article. 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 = ["QLD", "SSO"]              # 2x leveraged index ETFs (held in risk-on)
DEFENSIVE_ASSETS = ["IEF", "GLD", "SHY"]  # treasuries / gold / cash-like (risk-off)


def build_position(trend_window=200, momentum_window=126):
    data.set_market("us_fund")
    close = data.get("us_fund_price:adj_close")[["QQQ"] + RISK_ASSETS + DEFENSIVE_ASSETS]

    # 1. Risk-on regime: QQQ above its 200-day average AND positive 126-day return.
    qqq_trend = close["QQQ"] > close["QQQ"].rolling(trend_window, min_periods=trend_window // 2).mean()
    qqq_momentum = close["QQQ"] / close["QQQ"].shift(momentum_window) - 1
    risk_on = qqq_trend & (qqq_momentum > 0)

    # 2. In risk-on: hold the stronger 2x ETF by 189-day-minus-21-day momentum.
    risk_score = FinlabDataFrame(
        close[RISK_ASSETS].pct_change(189) - close[RISK_ASSETS].pct_change(21)
    )
    risky = risk_score.is_largest(1) & risk_on.to_frame().reindex(risk_score.index).iloc[:, 0]

    # 3. In risk-off: hold the strongest defensive ETF by 63-day-minus-21-day momentum.
    defensive_score = FinlabDataFrame(
        close[DEFENSIVE_ASSETS].pct_change(63) - close[DEFENSIVE_ASSETS].pct_change(21)
    )
    defensive = (
        defensive_score.is_largest(1) & (~risk_on).to_frame().reindex(defensive_score.index).iloc[:, 0]
    )

    position = (
        risky.reindex(close.index).fillna(False).astype(float)
        .join(defensive.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",           # rebalance monthly
        position_limit=1,       # max weight per asset; the strategy holds 1 ETF at a time
        stop_loss=0.06,         # 6% touched stop on the held ETF
        touched_exit=True,
        trade_at_price="close",
        fee_ratio=fee_ratio,    # None = finlab's US default (0 commission, 0 tax)
        upload=False,
    )


# ---------------------------------------------------------------------------
# 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 trend_window in (150, 200, 250):
        for momentum_window in (63, 126, 189):
            report = run_backtest(build_position(trend_window=trend_window, momentum_window=momentum_window))
            strategy, qqq = sharpe_vs_qqq(report.creturn)
            wins += strategy > qqq
            print(f"QQQ>{trend_window}d MA {momentum_window}d momentum: 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.
    equity = run_backtest(build_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(build_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()  # finlab guides you through login automatically
    if "--validate" in sys.argv:
        validate()
        return
    report = run_backtest(build_position())
    print(report.get_stats())
    report.display()


if __name__ == "__main__":
    main()

Download strategy.py Download data.csv (equity curve)

Reproduce this strategy in FinLab Studio

Adjust the rules and rerun the backtest on the same real data in Studio.

The strategies and backtest results on this page are for education and research only; see the Terms of Service.