Files
quant/research/v7_synthetic_leverage_eval.py
Gahow Wang 1f50253d13 research: extensive V7 optimization and V8 (TMF) evaluation
Research scripts exploring paths beyond V7+VT36:
- regime_stock_picker_eval: V3 regime + S&P 500 stock picking
- v7_parameter_sweep: VT range (20-48%) + adaptive PT variants
- v7_synthetic_leverage_eval: synthetic 2x/3x leveraged individual stocks
- v7_breakthrough_eval/fixed: ensemble, cross-market, alt regime engines
- v7_three_ideas_eval: TMF risk-off, PT entry reset, fast exit
- v7_trade_audit: full 10y trade log and alpha attribution
- sota_ranking: comprehensive cross-strategy ranking

Key findings:
- VT36 is optimal risk-return tradeoff (+7% vs VT28, Sharpe ~flat)
- PT30 is structural optimum for 3x ETFs (all adaptive variants worse)
- V8 (TMF risk-off) debunked: +5% was 1-day lookahead bias artifact
- V3 regime engine irreplaceable (all simplified alternatives fail)
- PT mechanism is dominant alpha source (+15.6pp ann, +0.58 Sharpe)

V8 strategy file kept for reference (not registered).

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-05-21 20:57:34 +08:00

462 lines
18 KiB
Python

"""Direction 2: V7 regime + synthetic 2x/3x leveraged individual stocks.
Hypothesis: replacing TQQQ/UPRO with synthetic 2x-leveraged top-momentum
S&P 500 stocks could beat V7 by combining stock-picking alpha with leverage.
Synthetic leverage model:
daily_return_Nx = N * stock_daily_return - (N-1) * daily_borrow_cost
daily_borrow_cost ≈ risk_free_rate / 252 (conservative: 5% annualized)
This captures:
- Leverage amplification
- Financing cost
- Volatility drag (emerges naturally from daily compounding of leveraged returns)
Variants tested:
A. V7 regime + synth 2x top-5 momentum stocks
B. V7 regime + synth 2x top-10 momentum stocks
C. V7 regime + synth 2x top-1 momentum stock (concentrated)
D. V7 regime + synth 3x top-5 (compare to real TQQQ)
E. V7 regime + synth 2x recovery-momentum top-5
F. V7+VT36 baseline (current SOTA)
"""
from __future__ import annotations
import sys
sys.path.insert(0, ".")
import numpy as np
import pandas as pd
import data_manager
import metrics
import universe_history as uh
from main import backtest
from strategies.base import Strategy
from strategies.permanent import TrendRiderV3
from universe import UNIVERSES
YEARS = 10
CAPITAL = 100_000
TX_COST = 0.001
FIXED_FEE = 2.0
BORROW_RATE = 0.05 # 5% annualized
# ---------------------------------------------------------------------------
# Synthetic leveraged returns
# ---------------------------------------------------------------------------
def synthetic_leveraged_prices(prices: pd.DataFrame, leverage: float,
borrow_rate: float = BORROW_RATE) -> pd.DataFrame:
"""Create synthetic leveraged price series from daily returns.
Models daily-rebalanced leverage: each day's return is
r_lev = leverage * r_stock - (leverage - 1) * r_borrow
where r_borrow = borrow_rate / 252.
This captures vol drag naturally (daily compounding of amplified returns).
"""
daily_ret = prices.pct_change(fill_method=None).fillna(0.0)
daily_borrow = borrow_rate / 252
lev_ret = leverage * daily_ret - (leverage - 1) * daily_borrow
lev_prices = (1 + lev_ret).cumprod() * 100 # normalize to 100 start
lev_prices.iloc[0] = 100
return lev_prices
# ---------------------------------------------------------------------------
# Strategy: V7 regime + synthetic leveraged stock picking
# ---------------------------------------------------------------------------
class V7SynthLeverage(Strategy):
"""V7 architecture with synthetic leveraged individual stocks as risk-on.
Layer 1: V3 regime engine on SPY → risk-on vs risk-off
Layer 2: Vol-target overlay
Layer 3: Profit-take with hysteresis
Risk-on: top-N stocks by momentum, synthetically leveraged, equal weight.
Risk-off: momentum leader of (GLD, DBC).
"""
def __init__(
self,
stock_tickers: list[str],
leverage: float = 2.0,
top_n: int = 5,
signal: str = "SPY",
defensive: tuple[str, ...] = ("GLD", "DBC"),
# Momentum ranking
mom_lookback: int = 63,
rebal_every: int = 21,
# Selection method
selection: str = "momentum", # "momentum" or "recovery_momentum"
recovery_window: int = 63,
long_mom_lookback: int = 252,
long_mom_skip: int = 21,
# V3 regime
ma_long: int = 150,
# Vol-target
target_vol: float = 0.36,
vol_window: int = 60,
min_lev: float = 0.75,
max_lev: float = 1.0,
# Profit-take
pt_threshold: float = 0.30,
pt_band: float = 0.10,
pt_park: str = "SHY",
):
self.stock_tickers = stock_tickers
self.leverage = leverage
self.top_n = top_n
self.signal = signal
self.defensive = defensive
self.mom_lookback = mom_lookback
self.rebal_every = rebal_every
self.selection = selection
self.recovery_window = recovery_window
self.long_mom_lookback = long_mom_lookback
self.long_mom_skip = long_mom_skip
self.target_vol = target_vol
self.vol_window = vol_window
self.min_lev = min_lev
self.max_lev = max_lev
self.pt_threshold = pt_threshold
self.pt_band = pt_band
self.pt_park = pt_park
self._v3 = TrendRiderV3(
signal=signal, risk_on=("TQQQ", "UPRO"),
risk_off=defensive, ma_long=ma_long,
)
def _rank_stocks(self, data: pd.DataFrame) -> pd.DataFrame:
"""Return cross-sectional rank (higher = better)."""
avail = [t for t in self.stock_tickers if t in data.columns]
panel = data[avail]
if self.selection == "recovery_momentum":
recovery = panel / panel.rolling(self.recovery_window).min() - 1
momentum = panel.shift(self.long_mom_skip).pct_change(
self.long_mom_lookback - self.long_mom_skip, fill_method=None,
)
rec_r = recovery.rank(axis=1, pct=True, na_option="keep")
mom_r = momentum.rank(axis=1, pct=True, na_option="keep")
composite = 0.5 * rec_r + 0.5 * mom_r
return composite
else:
mom = panel.pct_change(self.mom_lookback, fill_method=None)
return mom
def generate_signals(self, data: pd.DataFrame) -> pd.DataFrame:
"""Build weights on ORIGINAL (unleveraged) price columns.
The backtest engine will track returns using the original data.
We transform the returns in a wrapper (see run_synth_backtest below).
Actually — we build a SYNTHETIC price panel and run the strategy
on that. So weights here are on synthetic-leverage columns.
"""
# This is called on the synthetic data panel.
# Columns: stock tickers (synthetic leveraged) + ETFs (original)
w = pd.DataFrame(0.0, index=data.index, columns=data.columns)
if self.signal not in data.columns:
return w
sig_arr = data[self.signal].to_numpy()
avail_stocks = [t for t in self.stock_tickers if t in data.columns]
avail_def = [t for t in self.defensive if t in data.columns]
park_col = self.pt_park if self.pt_park in data.columns else ""
# Rank using the ORIGINAL unleveraged data — NOT passed here.
# We'll precompute ranks externally and attach them.
# For now, rank on the synthetic data (momentum on leveraged prices
# preserves ranking since leverage is monotone on return).
mom = data[avail_stocks].pct_change(self.mom_lookback, fill_method=None)
if self.selection == "recovery_momentum":
panel = data[avail_stocks]
recovery = panel / panel.rolling(self.recovery_window).min() - 1
long_mom = panel.shift(self.long_mom_skip).pct_change(
self.long_mom_lookback - self.long_mom_skip, fill_method=None,
)
rec_r = recovery.rank(axis=1, pct=True, na_option="keep")
mom_r = long_mom.rank(axis=1, pct=True, na_option="keep")
score = 0.5 * rec_r + 0.5 * mom_r
else:
score = mom
need = max(150, self.mom_lookback + 1, self._v3.vol_window + 1,
self._v3.dd_window, self._v3.peak_window,
self.long_mom_lookback + 1 if self.selection == "recovery_momentum" else 0,
self.recovery_window + 1 if self.selection == "recovery_momentum" else 0) + 1
regime: str | None = None
bars = 0
# Phase 1: build raw weights (regime + stock selection)
raw_w = pd.DataFrame(np.nan, index=data.index, columns=data.columns)
for i in range(len(data)):
if i < need:
continue
closes = sig_arr[:i]
if np.isnan(closes[-1]):
continue
desired = self._v3._desired_regime(closes, regime)
changed = False
if regime is None:
regime, bars, changed = desired, 0, True
else:
bars += 1
if desired != regime and bars >= 15:
regime, bars, changed = desired, 0, True
if not changed and (i - need) % self.rebal_every != 0:
continue
row = {c: 0.0 for c in data.columns}
dt = data.index[i]
if regime == "risk_on":
s = score.iloc[i][avail_stocks].dropna()
valid = s.index[data.loc[dt, s.index].notna()]
s = s[valid]
if self.selection == "momentum":
s = s[s > 0]
top = s.nlargest(min(self.top_n, len(s)))
if len(top) > 0:
wt = 1.0 / len(top)
for t in top.index:
row[t] = wt
elif avail_def:
row[avail_def[0]] = 1.0
else:
if avail_def:
dm = data[avail_def].pct_change(63, fill_method=None).iloc[i].dropna()
best = dm.idxmax() if len(dm) > 0 else avail_def[0]
row[best] = 1.0
for c, v in row.items():
raw_w.at[dt, c] = v
raw_w = raw_w.ffill().fillna(0.0)
raw_w = raw_w.shift(1).fillna(0.0)
# Phase 2: Vol-target overlay
daily_ret = data.pct_change(fill_method=None).fillna(0.0)
port_rets = (raw_w * daily_ret).sum(axis=1)
realized_vol = (
port_rets.rolling(self.vol_window, min_periods=21).std() * np.sqrt(252)
)
scale = (self.target_vol / realized_vol).clip(lower=self.min_lev, upper=self.max_lev)
scale = scale.shift(1).fillna(1.0)
w = raw_w.mul(scale, axis=0)
# Phase 3: Profit-take
if self.pt_threshold <= 0:
return w
held = w.idxmax(axis=1)
max_w = w.max(axis=1)
held[max_w < 1e-8] = ""
entry_price: float | None = None
current_sym: str | None = None
is_stopped = False
restore_level = self.pt_threshold - self.pt_band
for i in range(len(w)):
sym = held.iloc[i]
if not sym or max_w.iloc[i] < 1e-8:
current_sym = None
entry_price = None
is_stopped = False
continue
if sym != current_sym:
current_sym = sym
entry_price = (
float(data[sym].iloc[i - 1])
if i > 0 and sym in data.columns else None
)
is_stopped = False
continue
if entry_price is None or entry_price <= 0 or sym not in data.columns:
continue
yesterday = float(data[sym].iloc[i - 1]) if i > 0 else float(data[sym].iloc[i])
gain = yesterday / entry_price - 1.0
if is_stopped:
if gain < restore_level:
is_stopped = False
else:
w.iloc[i] = 0.0
if park_col:
w.at[w.index[i], park_col] = scale.iloc[i]
else:
if gain >= self.pt_threshold:
is_stopped = True
w.iloc[i] = 0.0
if park_col:
w.at[w.index[i], park_col] = scale.iloc[i]
return w
# ---------------------------------------------------------------------------
# Main
# ---------------------------------------------------------------------------
def main():
print("=" * 95)
print(" DIRECTION 2: V7 + SYNTHETIC LEVERAGED INDIVIDUAL STOCKS")
print("=" * 95)
# Load S&P 500 + PIT + ETFs
print("\n[1] Loading data...")
universe = UNIVERSES["us"]
tickers = universe["fetch"]()
pit_intervals = uh.load_sp500_history()
hist_tickers = uh.all_tickers_ever(pit_intervals)
etfs = ["SPY", "GLD", "DBC", "SHY", "TQQQ", "UPRO", "TLT"]
all_tickers = sorted(set(tickers + hist_tickers + etfs))
raw_data = data_manager.update("us", all_tickers, with_open=False)
if isinstance(raw_data, tuple):
raw_data = raw_data[0]
cutoff = raw_data.index[-1] - pd.DateOffset(years=YEARS)
raw_data = raw_data[raw_data.index >= cutoff]
raw_data = uh.mask_prices(raw_data, pit_intervals)
stock_tickers = [t for t in raw_data.columns
if t not in etfs and raw_data[t].notna().any()]
print(f" Stocks: {len(stock_tickers)}, Period: {raw_data.index[0].date()}{raw_data.index[-1].date()}")
# Build synthetic leveraged price panels
print("\n[2] Building synthetic leveraged prices...")
stock_prices = raw_data[stock_tickers]
synth_2x = synthetic_leveraged_prices(stock_prices, 2.0)
synth_3x = synthetic_leveraged_prices(stock_prices, 3.0)
# Combine synthetic stocks with real ETF prices for each variant
etf_prices = raw_data[etfs]
results: list[tuple[str, dict]] = []
def run(label: str, strategy: Strategy, data_panel: pd.DataFrame):
print(f" {label}...", end=" ", flush=True)
try:
eq = backtest(strategy, data_panel, initial_capital=CAPITAL,
transaction_cost=TX_COST, fixed_fee=FIXED_FEE)
m = metrics.raw_summary(eq)
results.append((label, m))
print(f"Ann={m['annualizedReturn']*100:.1f}% Sharpe={m['sharpeRatio']:.2f} "
f"MaxDD={m['maxDrawdown']*100:.1f}%")
except Exception as e:
print(f"FAILED: {e}")
# =====================================================================
# Run variants
# =====================================================================
print("\n[3] Running strategies...")
# --- V7+VT36 baseline (real TQQQ/UPRO) ---
from strategies.trend_rider_v7 import TrendRiderV7
etf_only = [t for t in ["SPY", "TQQQ", "UPRO", "GLD", "DBC", "SHY"] if t in etf_prices.columns]
run("V7+VT36 baseline (TQQQ/UPRO)",
TrendRiderV7(target_vol=0.36, min_lev=0.75),
etf_prices[etf_only])
# --- Synth 2x: momentum, various top-N ---
for n in (1, 3, 5, 10):
panel_2x = pd.concat([synth_2x, etf_prices], axis=1)
panel_2x = panel_2x.loc[:, ~panel_2x.columns.duplicated()]
run(f"Synth 2x Mom top-{n} (VT36+PT30)",
V7SynthLeverage(stock_tickers=stock_tickers, leverage=2.0,
top_n=n, target_vol=0.36, min_lev=0.75),
panel_2x)
# --- Synth 2x: recovery-momentum ---
for n in (3, 5, 10):
panel_2x = pd.concat([synth_2x, etf_prices], axis=1)
panel_2x = panel_2x.loc[:, ~panel_2x.columns.duplicated()]
run(f"Synth 2x RecMom top-{n} (VT36+PT30)",
V7SynthLeverage(stock_tickers=stock_tickers, leverage=2.0,
top_n=n, selection="recovery_momentum",
target_vol=0.36, min_lev=0.75),
panel_2x)
# --- Synth 3x: direct comparison with real TQQQ ---
for n in (1, 3, 5):
panel_3x = pd.concat([synth_3x, etf_prices], axis=1)
panel_3x = panel_3x.loc[:, ~panel_3x.columns.duplicated()]
run(f"Synth 3x Mom top-{n} (VT36+PT30)",
V7SynthLeverage(stock_tickers=stock_tickers, leverage=3.0,
top_n=n, target_vol=0.36, min_lev=0.75),
panel_3x)
# --- Synth 2x without vol-target (see if raw 2x stocks need less VT) ---
for n in (3, 5):
panel_2x = pd.concat([synth_2x, etf_prices], axis=1)
panel_2x = panel_2x.loc[:, ~panel_2x.columns.duplicated()]
run(f"Synth 2x Mom top-{n} (no VT, PT30)",
V7SynthLeverage(stock_tickers=stock_tickers, leverage=2.0,
top_n=n, target_vol=1.0, min_lev=1.0, max_lev=1.0),
panel_2x)
# --- Synth 2x with higher PT threshold (2x has less vol drag → let profits run) ---
for pt in (0.40, 0.50):
panel_2x = pd.concat([synth_2x, etf_prices], axis=1)
panel_2x = panel_2x.loc[:, ~panel_2x.columns.duplicated()]
run(f"Synth 2x Mom top-5 (VT36+PT{int(pt*100)})",
V7SynthLeverage(stock_tickers=stock_tickers, leverage=2.0,
top_n=5, target_vol=0.36, min_lev=0.75,
pt_threshold=pt, pt_band=pt*0.33),
panel_2x)
# --- Synth 2x: no profit-take (2x might not need it) ---
panel_2x = pd.concat([synth_2x, etf_prices], axis=1)
panel_2x = panel_2x.loc[:, ~panel_2x.columns.duplicated()]
run("Synth 2x Mom top-5 (VT36, no PT)",
V7SynthLeverage(stock_tickers=stock_tickers, leverage=2.0,
top_n=5, target_vol=0.36, min_lev=0.75,
pt_threshold=0),
panel_2x)
# --- SPY benchmark ---
spy = raw_data["SPY"].dropna()
spy_eq = (spy / spy.iloc[0]) * CAPITAL
results.append(("SPY benchmark", metrics.raw_summary(spy_eq)))
# =====================================================================
# Report
# =====================================================================
results.sort(key=lambda x: x[1]["annualizedReturn"], reverse=True)
print(f"\n{'=' * 110}")
print(" RANKING")
print(f"{'=' * 110}")
print(f"{'#':<4} {'Strategy':<45} {'Ann%':>7} {'Vol%':>7} {'Sharpe':>7} "
f"{'Sortino':>8} {'MaxDD%':>7} {'Calmar':>7}")
print("-" * 110)
for i, (label, m) in enumerate(results, 1):
marker = "" if i <= 3 else ""
print(f"{i:<4} {label:<45} "
f"{m['annualizedReturn']*100:>6.1f}% "
f"{m['annualizedVolatility']*100:>6.1f}% "
f"{m['sharpeRatio']:>7.2f} "
f"{m['sortinoRatio']:>8.2f} "
f"{m['maxDrawdown']*100:>6.1f}% "
f"{m['calmarRatio']:>7.2f}{marker}")
print(f"{'=' * 110}")
if __name__ == "__main__":
main()