Equity · United States · stocks · Monthly Free

High-Volatility Momentum-Reversal Strategy in Large-Cap Stocks

Academic paper

Do Momentum and Reversals Coexist?

AuthorsJason Zhanshun Wei

Institute

University of Toronto
University of Toronto - Rotman School of Management

Paper linkhttps://papers.ssrn.com/sol3/papers.cfm?abstract_id=1679464

Strategy in a nutshell

The investment universe consists of NYSE, AMEX, and NASDAQ stocks with prices higher than $5 per share. At the beginning of each month, the sample is divided into equal halves, at the size median, and only larger stocks are used. Then each month, realized returns and realized (annualized) volatilities are calculated for each stock for the past six months. One week (seven calendar days) prior to the beginning of each month is skipped to avoid biases due to microstructures. Stocks are then sorted into quintiles based on their realized past returns and past volatility. The investor goes long on stocks from the highest performing quintile from the highest volatility group and short on stocks from the lowest-performing quintile from the highest volatility group. Stocks are equally weighted and held for six months (therefore, 1/6 of the portfolio is rebalanced every month).

Economic rationale

Academic research postulates that the medium-term momentum is rationalized largely along the behavioral avenue. Gradual information diffusion and/or investor under-reaction leads to momentum (Chan, Jegadeesh and Lakonishok, 1996; and Hong, Lim and Stein, 2000). Some researchers show that information uncertainty can intensify return continuations under the postulation that investors under-react more (due to overconfidence) when presented with vague information. Following this line of thinking, investors should see stronger momentum in securities with greater information uncertainty, such as in smaller stocks and stocks with higher volatility.

Entry & exit

Entry

Compute a 20-day z-score on each name in SPY, BIL. Enter when z ≤ -1 (stretched to the downside).

Exit

Exit when the z-score mean-reverts back to ≥ 0. Positions are not held through a full trend — only the snap-back.

Market data required

Needs at least 25 adjusted daily closes on SPY, BIL before the first signal is ready. ETF columns print on exchange sessions only. The lab loads Yahoo Finance via backtest.data.load_daily_prices.

Symbols

SPY, BIL

Frequency

Monthly · Daily adjusted close; signals rebalance on the month change (last available session)

History needed

≥ 25 trading days per symbol (about 2 months), plus a few extra bars so the first signal can fire.

Fields

Adjusted close (Yahoo auto_adjust)
Session date index

Credentials

None for paper and the onsite lab
Broker or exchange API keys only for live orders

APIs & providers

Quant Buffet Data API

The lab calls load_daily_prices for the ASSETS panel of adjusted closes, then caches CSV so backtests replay the same series.

Provider: backtest.data.load_daily_prices
Auth: None for paper / sandbox backtests
Endpoints: load_daily_prices(ASSETS, start="2000-01-01")

API / docs → /en/docs/data-api

Yahoo Finance via yfinance

US equities and ETFs, adjusted OHLCV, free for research (rate limits apply).

Provider: yfinance → Yahoo Finance
Auth: None for public history
Endpoints: Ticker.history / yf.download(auto_adjust=True)

API / docs → github.com/ranaroussi/yfinance

Onsite backtest IDE

Quant Buffet native backtest IDE

Edit and run Quant Buffet Python for High-Volatility Momentum-Reversal Strategy in Large-Cap Stocks in the browser. Results update live with equity, drawdown, and metrics charts. Allowed: backtest.data, backtest.engine, backtest.metrics, numpy, pandas. Define ASSETS and make_on_day(prices). Shortcut: Ctrl+Enter. API docs →

IDE · 44 lines

"""
Quant Buffet interactive lab — momentum-and-reversal-combined-with-volatility-effect-in-stocks
Allowed: backtest.data / backtest.engine / backtest.metrics, numpy, pandas.
Required: a module-level ASSETS list, and def make_on_day(prices) returning (on_day, ready)
"""
from __future__ import annotations

import numpy as np
import pandas as pd

from backtest.data import load_daily_prices
from backtest.engine import EngineConfig, PortfolioEngine
from backtest.metrics import compute_metrics

ASSETS = ['SPY', 'BIL']
LOOKBACK = 20
ENTRY_Z = -1.0
EXIT_Z = 0.0

def make_on_day(prices: pd.DataFrame):
    cols = [c for c in ASSETS if c in prices.columns]
    mu = prices[cols].rolling(LOOKBACK, min_periods=LOOKBACK).mean()
    sd = prices[cols].rolling(LOOKBACK, min_periods=LOOKBACK).std(ddof=0)
    z = (prices[cols] - mu) / sd.replace(0, np.nan)
    held = {s: False for s in cols}

    def on_day(engine: PortfolioEngine, dt: pd.Timestamp) -> None:
        long = []
        for s in cols:
            zv = z.at[dt, s]
            if pd.isna(zv):
                continue
            if not held[s] and zv <= ENTRY_Z:
                held[s] = True
            elif held[s] and zv >= EXIT_Z:
                held[s] = False
            if held[s]:
                long.append(s)
        w = {} if not long else {s: 1.0 / len(long) for s in long}
        engine.set_target_weights(dt, w)

    ready = z.dropna(how="all").index.min() if z.notna().any().any() else None
    return on_day, ready

"""
Quant Buffet interactive lab — momentum-and-reversal-combined-with-volatility-effect-in-stocks
Allowed: backtest.data / backtest.engine / backtest.metrics, numpy, pandas.
Required: a module-level ASSETS list, and def make_on_day(prices) returning (on_day, ready)
"""
from __future__ import annotations

import numpy as np
import pandas as pd

from backtest.data import load_daily_prices
from backtest.engine import EngineConfig, PortfolioEngine
from backtest.metrics import compute_metrics

ASSETS = ['SPY', 'BIL']
LOOKBACK = 20
ENTRY_Z = -1.0
EXIT_Z = 0.0

def make_on_day(prices: pd.DataFrame):
    cols = [c for c in ASSETS if c in prices.columns]
    mu = prices[cols].rolling(LOOKBACK, min_periods=LOOKBACK).mean()
    sd = prices[cols].rolling(LOOKBACK, min_periods=LOOKBACK).std(ddof=0)
    z = (prices[cols] - mu) / sd.replace(0, np.nan)
    held = {s: False for s in cols}

def on_day(engine: PortfolioEngine, dt: pd.Timestamp) -> None:
        long = []
        for s in cols:
            zv = z.at[dt, s]
            if pd.isna(zv):
                continue
            if not held[s] and zv <= ENTRY_Z:
                held[s] = True
            elif held[s] and zv >= EXIT_Z:
                held[s] = False
            if held[s]:
                long.append(s)
        w = {} if not long else {s: 1.0 / len(long) for s in long}
        engine.set_target_weights(dt, w)

ready = z.dropna(how="all").index.min() if z.notna().any().any() else None
    return on_day, ready

Quant Buffet syntax cheat sheet (copy / insert)

Paste these fragments into the editor. The sandbox rejects QuantConnect, os, and network libraries.

Required imports

Only these libraries are allowed in the sandbox.

from __future__ import annotations

import numpy as np
import pandas as pd

from backtest.data import load_daily_prices
from backtest.engine import EngineConfig, PortfolioEngine
from backtest.metrics import compute_metrics

ASSETS list (whitelisted ETFs)

Module-level list. Tickers must be in the Quant Buffet whitelist.

ASSETS = ["SPY", "QQQ", "TLT", "GLD", "BIL"]

make_on_day contract

Must return (on_day, ready). on_day calls engine.set_target_weights.

def make_on_day(prices: pd.DataFrame):
    cols = [c for c in ASSETS if c in prices.columns]
    sma = prices[cols].rolling(200, min_periods=200).mean()
    state = {"last": None}

    def on_day(engine: PortfolioEngine, dt: pd.Timestamp) -> None:
        if sma.loc[dt].isna().all():
            return
        key = (dt.year, dt.month)
        if state["last"] == key:
            return
        state["last"] = key
        long = [
            s for s in cols
            if pd.notna(prices.at[dt, s]) and pd.notna(sma.at[dt, s])
            and prices.at[dt, s] > sma.at[dt, s]
        ]
        weights = {} if not long else {s: 1.0 / len(long) for s in long}
        engine.set_target_weights(dt, weights)

    ready = sma.dropna(how="all").index.min() if sma.notna().any().any() else None
    return on_day, ready

Set target weights

Weights should sum to about 1.0. Empty dict = 100% cash.

engine.set_target_weights(dt, {"SPY": 0.60, "BIL": 0.40})

Live backtest performance

CAGR

1.44%

Sharpe

0.17

Max DD

-36.97%

Vol

14.04%

Sortino

0.26

Beta

0.55

Up days

50%

Run the backtest to populate charts.

Order records

Run the backtest to load every order fill alongside performance.

Export to your platform

Transform Quant Buffet lab code (ASSETS + make_on_day / PortfolioEngine) into native classes for a third-party IDE — then copy and paste.

Target platform

Run in: QuantConnect Cloud or LEAN CLI · QCAlgorithm with Equity securities and monthly rebalance.

Detected pattern: Mean reversionAssets: SPY, BIL

# Generated from Quant Buffet → QuantConnect LEAN
# Strategy: High-Volatility Momentum-Reversal Strategy in Large-Cap Stocks
# Detected pattern: Mean reversion
# Source uses Quant Buffet lab APIs (ASSETS + make_on_day / PortfolioEngine).
# Review fees, data, and risk before live trading — educational export only.

from AlgorithmImports import *


class QuantBuffetExport(QCAlgorithm):
    def Initialize(self):
        self.SetStartDate(2010, 1, 1)
        self.SetCash(100000)
        tickers = ["SPY", "BIL"]
        self.symbols = []
        for t in tickers:
            if "-" in t:  # crypto proxy e.g. BTC-USD
                self.symbols.append(self.AddCrypto(t.replace("-USD", ""), Resolution.Daily).Symbol)
            else:
                self.symbols.append(self.AddEquity(t, Resolution.Daily).Symbol)
        self.Schedule.On(
            self.DateRules.MonthStart(self.symbols[0]),
            self.TimeRules.AfterMarketOpen(self.symbols[0], 30),
            self.Rebalance,
        )
        # Logic: Buy when return z-score < -1 over 20 days.

    def Rebalance(self):
        import numpy as np
        picks = []
        for symbol in self.symbols:
            hist = self.History(symbol, 20 + 5, Resolution.Daily)
            if hist.empty: continue
            close = hist["close"]
            if hasattr(close, "unstack"):
                close = close.unstack(level=0).iloc[:, 0]
            rets = close.pct_change().dropna()
            if len(rets) < 20: continue
            window = rets.iloc[-20:]
            z = (window.iloc[-1] - window.mean()) / (window.std() or 1e-9)
            if z < -1:
                picks.append(symbol)
        w = 1.0 / len(picks) if picks else 0.0
        for symbol in self.symbols:
            self.SetHoldings(symbol, w if symbol in picks else 0.0)

Exported code uses the platform’s native classes and libraries. Install dependencies in your third-party IDE, then run. Validate before live trading.