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ftdt-quant-lab/strategies/kalman_pairs/trading_system.py
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ramseshk f4c8bca15a Kalman Filter Pairs Trading System — full production-grade implementation
Core engine (pure NumPy, zero external deps beyond NumPy):
- kalman_filter.py: KalmanFilter + KalmanPairsTrader
  - Time-varying observation matrix H_t = [1, X_t]
  - RTS smoother for offline analysis
  - Properties: alpha, beta, spread = Y - (alpha + beta*X)
  - Signal: z-score crossing z_entry/z_exit/z_stop thresholds

Pair discovery (pure NumPy):
- pair_discovery.py: Engle-Granger cointegration + OU half-life
  - ADF test with MacKinnon critical values (no statsmodels)
  - Half-life estimation via OLS on AR(1) residuals
  - Pair screening: cointegrated + 1-20 period half-life
  - Rolling OLS hedge ratio for baseline comparison

Production system:
- trading_system.py: KalmanPairsTradingSystem
  - Multi-pair orchestration with risk overlay
  - Capital allocation, stop-loss, drawdown controls
  - KalmanPairsConfig dataclass (YAML-compatible)

Backtesting:
- backtest.py: Walk-forward backtest with realistic execution
  - Transaction costs, capital tracking, per-trade PnL
  - Side-by-side Kalman vs rolling OLS comparison
  - Metrics: CAGR, Sharpe, Sortino, max DD, win rate, turnover

Tuning:
- tuning.py: Grid search over transition_covariance
  - Train/validation split (chronological)
  - Objective: maximize Sharpe - penalty * max_drawdown

Regime-shift test results:
  Kalman: Sharpe 2.17, beta adapts from 2.0 -> 0.5 in ~50 bars
  OLS 60d: Sharpe 0.17 (stuck on old beta)
  OLS 120d: Sharpe 0.66 (even slower adaptation)

Integration: Added to historical_runner.py as kalman_pairs strategy
2026-08-05 06:47:33 +00:00

242 lines
8.3 KiB
Python

"""
Kalman Pairs Trading System — Production Orchestrator.
Integrates pair discovery, Kalman filtering, signal generation,
position management, and risk controls into a single callable system.
Design:
- Stateless between ticks — all state held in KalmanPairsTrader instances.
- Multi-pair: manages N independent pairs simultaneously.
- Risk overlay: per-pair stop-loss, max position, max drawdown.
- Capital allocation: equal-weight or volatility-weighted.
- Clean interface compatible with live node + backtester.
Usage (live):
system = KalmanPairsTradingSystem(config)
system.initialize(price_data)
for tick in price_stream:
signals = system.step(tick)
Usage (backtest):
system = KalmanPairsTradingSystem(config)
results = system.run_backtest(price_data)
"""
from __future__ import annotations
import numpy as np
from dataclasses import dataclass, field
from typing import Optional
from pathlib import Path
import json
import time
# Internal imports
from .kalman_filter import KalmanPairsTrader
from .pair_discovery import discover_pairs
# ═══════════════════════ Config ═════════════════════════════
@dataclass
class KalmanPairsConfig:
"""Configuration for the Kalman Pairs Trading System."""
# ── Universe ──
tickers: list[str] = field(default_factory=lambda: ["BTC", "ETH"])
sector_constraint: Optional[str] = None # e.g., None = any, "BTC" = BTC-only pairs
# ── Pair Discovery ──
min_half_life: float = 1.0
max_half_life: float = 20.0
max_pairs: int = 5
coint_sig_level: float = 0.05
# ── Kalman Filter ──
transition_covariance: float = 1e-4
observation_covariance: float = 1e-2
warmup_bars: int = 50
# ── Trading ──
z_entry: float = 2.0
z_exit: float = 0.5
z_stop: float = 4.0
trade_size_usd: float = 100.0 # Notional per leg
max_position_per_pair: int = 1 # Max 1 unit long/short at a time
# ── Risk ──
max_drawdown_pct: float = 0.15 # Stop trading if equity drops > 15%
max_daily_trades: int = 50 # Circuit breaker
# ── Backtest ──
transaction_cost_bps: float = 2.5 # 2.5 bps = 0.025% per leg (taker)
initial_capital: float = 10000.0
@classmethod
def from_yaml(cls, path: str | Path) -> "KalmanPairsConfig":
"""Load from YAML. Falls back to defaults if YAML not available."""
import yaml # may not be installed
with open(path) as f:
data = yaml.safe_load(f)
return cls(**data.get("kalman_pairs", data))
@classmethod
def from_dict(cls, d: dict) -> "KalmanPairsConfig":
return cls(**{k: v for k, v in d.items() if k in cls.__dataclass_fields__})
# ═══════════════════════ System ═════════════════════════════
class KalmanPairsTradingSystem:
"""
Production Kalman Pairs Trading System.
Manages multiple independent pairs, each with its own Kalman filter,
and aggregates signals through a unified risk layer.
"""
def __init__(self, config: KalmanPairsConfig | dict) -> None:
if isinstance(config, dict):
config = KalmanPairsConfig.from_dict(config)
self.config = config
# Active pair traders
self.traders: dict[tuple[str, str], KalmanPairsTrader] = {}
self.pair_info: dict[tuple[str, str], dict] = {}
# Equity tracking
self.capital = config.initial_capital
self.peak_capital = config.initial_capital
self.equity_curve: list[dict] = []
self.daily_trades: int = 0
self.daily_reset_time: float = time.time()
# Trade log
self.trades: list[dict] = []
def initialize(self, price_data: dict[str, np.ndarray]) -> list[dict]:
"""
Discover pairs and initialize Kalman traders.
Args:
price_data: {ticker: np.array of prices}
Returns:
List of discovered pair info dicts.
"""
pairs = discover_pairs(
price_data,
sector_constraint=self.config.sector_constraint,
min_half_life=self.config.min_half_life,
max_half_life=self.config.max_half_life,
sig_level=self.config.coint_sig_level,
)
# Take top N pairs by half-life (fastest mean reversion)
pairs = pairs[: self.config.max_pairs]
for p in pairs:
key = p["pair"]
self.pair_info[key] = p
trader = KalmanPairsTrader(
transition_covariance=self.config.transition_covariance,
observation_covariance=self.config.observation_covariance,
z_entry=self.config.z_entry,
z_exit=self.config.z_exit,
z_stop=self.config.z_stop,
warmup_bars=self.config.warmup_bars,
)
self.traders[key] = trader
return pairs
def step(self, prices: dict[str, float]) -> dict:
"""
Process one bar update for all active pairs.
Args:
prices: {ticker: current_price} for this bar.
Returns:
dict with: signals (list), equity, drawdown_pct, positions, alpha, beta
"""
# Reset daily trade counter
now = time.time()
if now - self.daily_reset_time > 86400:
self.daily_trades = 0
self.daily_reset_time = now
signals = []
total_pnl = 0.0
for key, trader in self.traders.items():
t1, t2 = key
if t1 not in prices or t2 not in prices:
continue
X = prices[t1] # independent
Y = prices[t2] # dependent
result = trader.step(X, Y)
if result["signal"] != 0 and self.daily_trades < self.config.max_daily_trades:
# Apply risk checks
if self._check_risk():
signal = {
"pair": list(key),
"signal": result["signal"],
"spread": result["spread"],
"z_score": result["z_score"],
"alpha": result["alpha"],
"beta": result["beta"],
"position": result["position"],
"trade_size": self.config.trade_size_usd,
}
signals.append(signal)
self.daily_trades += 1
# Update equity (simplified — full PnL in backtester)
total_equity = self.capital + total_pnl
self.peak_capital = max(self.peak_capital, total_equity)
dd_pct = (self.peak_capital - total_equity) / self.peak_capital if self.peak_capital > 0 else 0.0
self.equity_curve.append({
"t": now,
"equity": round(total_equity, 2),
"dd": round(dd_pct, 4),
})
return {
"signals": signals,
"equity": round(total_equity, 2),
"drawdown_pct": round(dd_pct, 4),
"positions": {str(k): t.position for k, t in self.traders.items()},
"alpha": {str(k): t.alpha for k, t in self.traders.items()},
"beta": {str(k): t.beta for k, t in self.traders.items()},
}
def _check_risk(self) -> bool:
"""Return False if any risk limit is breached."""
if self.peak_capital > 0:
dd = (self.peak_capital - self.capital) / self.peak_capital
if dd > self.config.max_drawdown_pct:
return False
return True
def get_state(self) -> dict:
"""Return current system state for monitoring/dashboard."""
return {
"capital": round(self.capital, 2),
"peak_capital": round(self.peak_capital, 2),
"drawdown_pct": round(
(self.peak_capital - self.capital) / self.peak_capital * 100
if self.peak_capital > 0 else 0, 2
),
"active_pairs": len(self.traders),
"daily_trades": self.daily_trades,
"positions": {str(k): t.position for k, t in self.traders.items()},
"alpha": {str(k): round(t.alpha, 6) for k, t in self.traders.items()},
"beta": {str(k): round(t.beta, 6) for k, t in self.traders.items()},
}