Upload hedging_engine.py
Browse files- hedging_engine.py +118 -0
hedging_engine.py
ADDED
|
@@ -0,0 +1,118 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""Dynamic Hedging System using Options Model."""
|
| 2 |
+
import numpy as np
|
| 3 |
+
import pandas as pd
|
| 4 |
+
from typing import Dict, Optional
|
| 5 |
+
import warnings
|
| 6 |
+
warnings.filterwarnings('ignore')
|
| 7 |
+
|
| 8 |
+
|
| 9 |
+
class DynamicHedgingEngine:
|
| 10 |
+
"""Dynamic hedging using options model integration."""
|
| 11 |
+
|
| 12 |
+
def __init__(self,
|
| 13 |
+
max_hedge_ratio: float = 0.5,
|
| 14 |
+
hedge_cost: float = 0.002,
|
| 15 |
+
delta_threshold: float = 0.1):
|
| 16 |
+
self.max_hedge_ratio = max_hedge_ratio
|
| 17 |
+
self.hedge_cost = hedge_cost
|
| 18 |
+
self.delta_threshold = delta_threshold
|
| 19 |
+
self.hedge_history = []
|
| 20 |
+
|
| 21 |
+
def compute_hedge_ratio(self,
|
| 22 |
+
portfolio_delta: float,
|
| 23 |
+
portfolio_gamma: float,
|
| 24 |
+
volatility: float,
|
| 25 |
+
risk_aversion: float = 2.0) -> float:
|
| 26 |
+
"""
|
| 27 |
+
Compute optimal hedge ratio.
|
| 28 |
+
|
| 29 |
+
Args:
|
| 30 |
+
portfolio_delta: Current delta exposure
|
| 31 |
+
portfolio_gamma: Current gamma exposure
|
| 32 |
+
volatility: Current volatility
|
| 33 |
+
risk_aversion: Risk aversion parameter
|
| 34 |
+
|
| 35 |
+
Returns:
|
| 36 |
+
Hedge ratio (0 to max_hedge_ratio)
|
| 37 |
+
"""
|
| 38 |
+
# Base hedge from delta
|
| 39 |
+
delta_hedge = abs(portfolio_delta) if portfolio_delta > self.delta_threshold else 0
|
| 40 |
+
|
| 41 |
+
# Gamma adjustment (more hedging when gamma is negative/high)
|
| 42 |
+
gamma_hedge = abs(portfolio_gamma) * volatility * 0.5 if portfolio_gamma > 0 else 0
|
| 43 |
+
|
| 44 |
+
# Combine with risk aversion
|
| 45 |
+
raw_hedge = (delta_hedge + gamma_hedge) * risk_aversion / 2.0
|
| 46 |
+
|
| 47 |
+
# Cap at max
|
| 48 |
+
hedge_ratio = np.clip(raw_hedge, 0, self.max_hedge_ratio)
|
| 49 |
+
|
| 50 |
+
self.hedge_history.append({
|
| 51 |
+
'hedge_ratio': hedge_ratio,
|
| 52 |
+
'delta_hedge': delta_hedge,
|
| 53 |
+
'gamma_hedge': gamma_hedge
|
| 54 |
+
})
|
| 55 |
+
|
| 56 |
+
return hedge_ratio
|
| 57 |
+
|
| 58 |
+
def compute_portfolio_greeks(self,
|
| 59 |
+
positions: Dict[str, float],
|
| 60 |
+
option_greeks: pd.DataFrame) -> Dict[str, float]:
|
| 61 |
+
"""Compute portfolio-level Greeks."""
|
| 62 |
+
total_delta = 0
|
| 63 |
+
total_gamma = 0
|
| 64 |
+
total_theta = 0
|
| 65 |
+
total_vega = 0
|
| 66 |
+
|
| 67 |
+
for ticker, position in positions.items():
|
| 68 |
+
if ticker in option_greeks.index:
|
| 69 |
+
row = option_greeks.loc[ticker]
|
| 70 |
+
total_delta += row.get('delta', 0) * position
|
| 71 |
+
total_gamma += row.get('gamma', 0) * position
|
| 72 |
+
total_theta += row.get('theta', 0) * position
|
| 73 |
+
total_vega += row.get('vega', 0) * position
|
| 74 |
+
else:
|
| 75 |
+
# Equity position: delta = 1 per share
|
| 76 |
+
total_delta += position
|
| 77 |
+
|
| 78 |
+
return {
|
| 79 |
+
'delta': total_delta,
|
| 80 |
+
'gamma': total_gamma,
|
| 81 |
+
'theta': total_theta,
|
| 82 |
+
'vega': total_vega
|
| 83 |
+
}
|
| 84 |
+
|
| 85 |
+
def compute_delta_neutral_weights(self,
|
| 86 |
+
portfolio_greeks: Dict[str, float],
|
| 87 |
+
hedge_instruments: Dict[str, float]) -> Dict[str, float]:
|
| 88 |
+
"""Compute delta-neutral hedge weights."""
|
| 89 |
+
total_delta = portfolio_greeks['delta']
|
| 90 |
+
|
| 91 |
+
if abs(total_delta) < 0.01:
|
| 92 |
+
return {k: 0 for k in hedge_instruments}
|
| 93 |
+
|
| 94 |
+
# Distribute hedge proportionally
|
| 95 |
+
hedge_weights = {}
|
| 96 |
+
total_hedge_delta = sum(abs(v) for v in hedge_instruments.values())
|
| 97 |
+
|
| 98 |
+
for instrument, delta in hedge_instruments.items():
|
| 99 |
+
if total_hedge_delta > 0:
|
| 100 |
+
hedge_weights[instrument] = -total_delta * abs(delta) / total_hedge_delta
|
| 101 |
+
else:
|
| 102 |
+
hedge_weights[instrument] = 0
|
| 103 |
+
|
| 104 |
+
return hedge_weights
|
| 105 |
+
|
| 106 |
+
def get_hedge_performance(self) -> Dict:
|
| 107 |
+
"""Get hedging performance statistics."""
|
| 108 |
+
if not self.hedge_history:
|
| 109 |
+
return {}
|
| 110 |
+
|
| 111 |
+
hedge_ratios = [h['hedge_ratio'] for h in self.hedge_history]
|
| 112 |
+
|
| 113 |
+
return {
|
| 114 |
+
'avg_hedge_ratio': np.mean(hedge_ratios),
|
| 115 |
+
'max_hedge_ratio': np.max(hedge_ratios),
|
| 116 |
+
'hedge_utilization': np.mean(hedge_ratios) / self.max_hedge_ratio,
|
| 117 |
+
'n_rebalances': len(self.hedge_history)
|
| 118 |
+
}
|