f4c8bca15a
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
242 lines
8.3 KiB
Python
242 lines
8.3 KiB
Python
"""
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Kalman Pairs Trading System — Production Orchestrator.
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Integrates pair discovery, Kalman filtering, signal generation,
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position management, and risk controls into a single callable system.
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Design:
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- Stateless between ticks — all state held in KalmanPairsTrader instances.
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- Multi-pair: manages N independent pairs simultaneously.
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- Risk overlay: per-pair stop-loss, max position, max drawdown.
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- Capital allocation: equal-weight or volatility-weighted.
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- Clean interface compatible with live node + backtester.
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Usage (live):
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system = KalmanPairsTradingSystem(config)
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system.initialize(price_data)
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for tick in price_stream:
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signals = system.step(tick)
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Usage (backtest):
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system = KalmanPairsTradingSystem(config)
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results = system.run_backtest(price_data)
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"""
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from __future__ import annotations
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import numpy as np
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from dataclasses import dataclass, field
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from typing import Optional
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from pathlib import Path
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import json
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import time
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# Internal imports
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from .kalman_filter import KalmanPairsTrader
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from .pair_discovery import discover_pairs
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# ═══════════════════════ Config ═════════════════════════════
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@dataclass
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class KalmanPairsConfig:
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"""Configuration for the Kalman Pairs Trading System."""
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# ── Universe ──
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tickers: list[str] = field(default_factory=lambda: ["BTC", "ETH"])
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sector_constraint: Optional[str] = None # e.g., None = any, "BTC" = BTC-only pairs
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# ── Pair Discovery ──
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min_half_life: float = 1.0
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max_half_life: float = 20.0
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max_pairs: int = 5
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coint_sig_level: float = 0.05
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# ── Kalman Filter ──
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transition_covariance: float = 1e-4
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observation_covariance: float = 1e-2
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warmup_bars: int = 50
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# ── Trading ──
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z_entry: float = 2.0
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z_exit: float = 0.5
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z_stop: float = 4.0
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trade_size_usd: float = 100.0 # Notional per leg
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max_position_per_pair: int = 1 # Max 1 unit long/short at a time
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# ── Risk ──
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max_drawdown_pct: float = 0.15 # Stop trading if equity drops > 15%
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max_daily_trades: int = 50 # Circuit breaker
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# ── Backtest ──
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transaction_cost_bps: float = 2.5 # 2.5 bps = 0.025% per leg (taker)
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initial_capital: float = 10000.0
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@classmethod
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def from_yaml(cls, path: str | Path) -> "KalmanPairsConfig":
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"""Load from YAML. Falls back to defaults if YAML not available."""
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import yaml # may not be installed
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with open(path) as f:
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data = yaml.safe_load(f)
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return cls(**data.get("kalman_pairs", data))
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@classmethod
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def from_dict(cls, d: dict) -> "KalmanPairsConfig":
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return cls(**{k: v for k, v in d.items() if k in cls.__dataclass_fields__})
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# ═══════════════════════ System ═════════════════════════════
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class KalmanPairsTradingSystem:
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"""
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Production Kalman Pairs Trading System.
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Manages multiple independent pairs, each with its own Kalman filter,
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and aggregates signals through a unified risk layer.
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"""
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def __init__(self, config: KalmanPairsConfig | dict) -> None:
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if isinstance(config, dict):
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config = KalmanPairsConfig.from_dict(config)
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self.config = config
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# Active pair traders
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self.traders: dict[tuple[str, str], KalmanPairsTrader] = {}
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self.pair_info: dict[tuple[str, str], dict] = {}
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# Equity tracking
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self.capital = config.initial_capital
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self.peak_capital = config.initial_capital
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self.equity_curve: list[dict] = []
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self.daily_trades: int = 0
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self.daily_reset_time: float = time.time()
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# Trade log
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self.trades: list[dict] = []
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def initialize(self, price_data: dict[str, np.ndarray]) -> list[dict]:
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"""
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Discover pairs and initialize Kalman traders.
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Args:
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price_data: {ticker: np.array of prices}
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Returns:
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List of discovered pair info dicts.
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"""
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pairs = discover_pairs(
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price_data,
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sector_constraint=self.config.sector_constraint,
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min_half_life=self.config.min_half_life,
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max_half_life=self.config.max_half_life,
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sig_level=self.config.coint_sig_level,
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)
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# Take top N pairs by half-life (fastest mean reversion)
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pairs = pairs[: self.config.max_pairs]
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for p in pairs:
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key = p["pair"]
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self.pair_info[key] = p
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trader = KalmanPairsTrader(
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transition_covariance=self.config.transition_covariance,
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observation_covariance=self.config.observation_covariance,
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z_entry=self.config.z_entry,
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z_exit=self.config.z_exit,
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z_stop=self.config.z_stop,
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warmup_bars=self.config.warmup_bars,
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)
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self.traders[key] = trader
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return pairs
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def step(self, prices: dict[str, float]) -> dict:
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"""
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Process one bar update for all active pairs.
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Args:
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prices: {ticker: current_price} for this bar.
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Returns:
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dict with: signals (list), equity, drawdown_pct, positions, alpha, beta
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"""
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# Reset daily trade counter
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now = time.time()
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if now - self.daily_reset_time > 86400:
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self.daily_trades = 0
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self.daily_reset_time = now
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signals = []
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total_pnl = 0.0
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for key, trader in self.traders.items():
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t1, t2 = key
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if t1 not in prices or t2 not in prices:
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continue
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X = prices[t1] # independent
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Y = prices[t2] # dependent
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result = trader.step(X, Y)
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if result["signal"] != 0 and self.daily_trades < self.config.max_daily_trades:
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# Apply risk checks
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if self._check_risk():
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signal = {
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"pair": list(key),
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"signal": result["signal"],
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"spread": result["spread"],
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"z_score": result["z_score"],
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"alpha": result["alpha"],
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"beta": result["beta"],
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"position": result["position"],
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"trade_size": self.config.trade_size_usd,
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}
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signals.append(signal)
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self.daily_trades += 1
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# Update equity (simplified — full PnL in backtester)
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total_equity = self.capital + total_pnl
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self.peak_capital = max(self.peak_capital, total_equity)
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dd_pct = (self.peak_capital - total_equity) / self.peak_capital if self.peak_capital > 0 else 0.0
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self.equity_curve.append({
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"t": now,
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"equity": round(total_equity, 2),
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"dd": round(dd_pct, 4),
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})
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return {
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"signals": signals,
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"equity": round(total_equity, 2),
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"drawdown_pct": round(dd_pct, 4),
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"positions": {str(k): t.position for k, t in self.traders.items()},
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"alpha": {str(k): t.alpha for k, t in self.traders.items()},
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"beta": {str(k): t.beta for k, t in self.traders.items()},
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}
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def _check_risk(self) -> bool:
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"""Return False if any risk limit is breached."""
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if self.peak_capital > 0:
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dd = (self.peak_capital - self.capital) / self.peak_capital
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if dd > self.config.max_drawdown_pct:
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return False
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return True
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def get_state(self) -> dict:
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"""Return current system state for monitoring/dashboard."""
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return {
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"capital": round(self.capital, 2),
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"peak_capital": round(self.peak_capital, 2),
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"drawdown_pct": round(
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(self.peak_capital - self.capital) / self.peak_capital * 100
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if self.peak_capital > 0 else 0, 2
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),
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"active_pairs": len(self.traders),
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"daily_trades": self.daily_trades,
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"positions": {str(k): t.position for k, t in self.traders.items()},
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"alpha": {str(k): round(t.alpha, 6) for k, t in self.traders.items()},
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"beta": {str(k): round(t.beta, 6) for k, t in self.traders.items()},
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}
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