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import numpy as np
import pandas as pd
from typing import Dict, List, Optional, Callable
import warnings
warnings.filterwarnings('ignore')
class BacktestEngine:
"""Portfolio backtest engine with transaction costs and slippage"""
def __init__(self,
initial_capital: float = 1_000_000,
transaction_cost: float = 0.0003,
slippage: float = 0.0001,
benchmark: str = 'SPY'):
self.initial_capital = initial_capital
self.transaction_cost = transaction_cost
self.slippage = slippage
self.benchmark = benchmark
self.portfolio_values = []
self.weights_history = []
self.returns_history = []
self.dates = []
self.trades = []
def run_backtest(self,
returns_df: pd.DataFrame,
weights_df: pd.DataFrame,
rebalance_dates: Optional[List[pd.Timestamp]] = None) -> Dict:
"""
Run portfolio backtest
Args:
returns_df: DataFrame of asset returns (dates x assets)
weights_df: DataFrame of portfolio weights (dates x assets)
rebalance_dates: List of dates to rebalance (if None, rebalance daily)
Returns:
Dict with performance metrics
"""
# Align dates
common_dates = returns_df.index.intersection(weights_df.index)
returns_df = returns_df.loc[common_dates]
weights_df = weights_df.loc[common_dates]
capital = self.initial_capital
current_weights = np.zeros(len(returns_df.columns))
portfolio_values = [capital]
for i, date in enumerate(common_dates[1:], 1):
# Get target weights
target_weights = weights_df.iloc[i].values
# Check if rebalance needed
if rebalance_dates is None or date in rebalance_dates:
# Calculate turnover
turnover = np.sum(np.abs(target_weights - current_weights))
# Transaction costs
tc = turnover * self.transaction_cost * capital
capital -= tc
# Record trade
if turnover > 0.001:
self.trades.append({
'date': date,
'turnover': turnover,
'cost': tc,
'old_weights': current_weights.copy(),
'new_weights': target_weights.copy()
})
current_weights = target_weights.copy()
# Apply slippage to returns
daily_returns = returns_df.iloc[i].values
slippage_cost = np.sum(np.abs(current_weights)) * self.slippage
# Portfolio return
port_return = np.dot(current_weights, daily_returns) - slippage_cost
capital *= (1 + port_return)
portfolio_values.append(capital)
self.returns_history.append(port_return)
self.weights_history.append(current_weights.copy())
self.dates.append(date)
self.portfolio_values = np.array(portfolio_values)
self.returns_history = np.array(self.returns_history)
return self.compute_metrics()
def compute_metrics(self, benchmark_returns: Optional[np.ndarray] = None) -> Dict:
"""Compute comprehensive performance metrics"""
returns = self.returns_history
if len(returns) == 0:
return {}
# Basic metrics
total_return = (self.portfolio_values[-1] / self.initial_capital) - 1
annualized_return = (1 + total_return) ** (252 / len(returns)) - 1
# Volatility
volatility = np.std(returns) * np.sqrt(252)
# Sharpe ratio
excess_returns = returns - 0.04 / 252 # Assuming 4% risk-free rate
sharpe = np.mean(excess_returns) / np.std(returns) * np.sqrt(252) if np.std(returns) > 0 else 0
# Sortino ratio
downside_returns = returns[returns < 0]
downside_std = np.std(downside_returns) * np.sqrt(252) if len(downside_returns) > 0 else 1e-8
sortino = (annualized_return - 0.04) / downside_std
# Max drawdown
cumulative = np.cumprod(1 + returns)
running_max = np.maximum.accumulate(cumulative)
drawdown = (cumulative - running_max) / running_max
max_drawdown = np.min(drawdown)
# Calmar ratio
calmar = annualized_return / abs(max_drawdown) if max_drawdown != 0 else 0
# Win rate
win_rate = np.sum(returns > 0) / len(returns)
# Profit factor
gross_profit = np.sum(returns[returns > 0])
gross_loss = abs(np.sum(returns[returns < 0]))
profit_factor = gross_profit / gross_loss if gross_loss > 0 else np.inf
# Alpha and Beta (vs benchmark)
alpha, beta = 0, 0
if benchmark_returns is not None and len(benchmark_returns) == len(returns):
cov = np.cov(returns, benchmark_returns)[0, 1]
bench_var = np.var(benchmark_returns)
beta = cov / bench_var if bench_var > 0 else 0
alpha = (np.mean(returns) - beta * np.mean(benchmark_returns)) * 252
# Information ratio
if benchmark_returns is not None:
tracking_error = np.std(returns - benchmark_returns) * np.sqrt(252)
info_ratio = (annualized_return - np.mean(benchmark_returns) * 252) / tracking_error if tracking_error > 0 else 0
else:
info_ratio = 0
# Turnover statistics
avg_turnover = np.mean([t['turnover'] for t in self.trades]) if self.trades else 0
total_cost = sum([t['cost'] for t in self.trades]) if self.trades else 0
metrics = {
'total_return': total_return,
'annualized_return': annualized_return,
'volatility': volatility,
'sharpe_ratio': sharpe,
'sortino_ratio': sortino,
'max_drawdown': max_drawdown,
'calmar_ratio': calmar,
'win_rate': win_rate,
'profit_factor': profit_factor,
'alpha': alpha,
'beta': beta,
'information_ratio': info_ratio,
'avg_turnover': avg_turnover,
'total_transaction_costs': total_cost,
'final_capital': self.portfolio_values[-1],
'n_trades': len(self.trades),
'n_days': len(returns)
}
return metrics
def get_equity_curve(self) -> pd.DataFrame:
"""Get equity curve"""
return pd.DataFrame({
'date': [self.dates[0]] + list(self.dates),
'portfolio_value': self.portfolio_values,
'cumulative_return': (self.portfolio_values / self.initial_capital) - 1
})
def get_drawdown_series(self) -> pd.Series:
"""Get drawdown series"""
cumulative = np.cumprod(1 + self.returns_history)
running_max = np.maximum.accumulate(cumulative)
drawdown = (cumulative - running_max) / running_max
return pd.Series(drawdown, index=self.dates)
def get_monthly_returns(self) -> pd.DataFrame:
"""Get monthly returns"""
returns_series = pd.Series(self.returns_history, index=self.dates)
monthly = returns_series.resample('M').apply(lambda x: np.prod(1 + x) - 1)
return monthly
def get_rolling_metrics(self, window: int = 63) -> pd.DataFrame:
"""Get rolling performance metrics"""
returns_series = pd.Series(self.returns_history, index=self.dates)
rolling_sharpe = (
returns_series.rolling(window).mean() /
returns_series.rolling(window).std() * np.sqrt(252)
)
rolling_vol = returns_series.rolling(window).std() * np.sqrt(252)
return pd.DataFrame({
'rolling_sharpe': rolling_sharpe,
'rolling_volatility': rolling_vol
})
def compute_information_coefficient(predictions: pd.Series,
actuals: pd.Series,
by_date: bool = True) -> Dict:
"""
Compute Information Coefficient (rank correlation)
Args:
predictions: Series of predicted returns
actuals: Series of actual returns
by_date: If True, compute IC per date and return mean/std
Returns:
Dict with IC metrics
"""
from scipy.stats import spearmanr
if by_date and hasattr(predictions, 'index') and hasattr(actuals, 'index'):
# Group by date
ic_by_date = []
pred_df = pd.DataFrame({'pred': predictions, 'actual': actuals})
pred_df = pred_df.dropna()
if hasattr(pred_df.index, 'date'):
dates = pred_df.index.date
else:
dates = pred_df.index
for date in np.unique(dates):
mask = dates == date
if mask.sum() > 3:
p = pred_df.loc[mask, 'pred']
a = pred_df.loc[mask, 'actual']
ic, _ = spearmanr(p, a)
if not np.isnan(ic):
ic_by_date.append(ic)
if len(ic_by_date) > 0:
return {
'mean_ic': np.mean(ic_by_date),
'ic_std': np.std(ic_by_date),
'ic_ir': np.mean(ic_by_date) / np.std(ic_by_date) if np.std(ic_by_date) > 0 else 0,
'ic_pct_positive': np.sum(np.array(ic_by_date) > 0) / len(ic_by_date),
'n_periods': len(ic_by_date)
}
# Overall IC
mask = ~(np.isnan(predictions) | np.isnan(actuals))
ic, pvalue = spearmanr(predictions[mask], actuals[mask])
return {
'mean_ic': ic if not np.isnan(ic) else 0,
'ic_std': 0,
'ic_ir': 0,
'ic_pct_positive': 1 if ic > 0 else 0,
'n_periods': 1,
'p_value': pvalue
}
class RegimeDetector:
"""Detect market regimes using Hidden Markov Model or simple heuristics"""
def __init__(self, method: str = 'simple'):
self.method = method
self.regimes = []
def detect_regimes(self, returns: pd.Series,
volatility_window: int = 21) -> pd.Series:
"""
Detect market regimes:
- Bull: positive trend, low vol
- Bear: negative trend, high vol
- High Vol: high volatility regardless of trend
"""
# Trend
trend = returns.rolling(63).mean()
# Volatility
vol = returns.rolling(volatility_window).std() * np.sqrt(252)
vol_median = vol.median()
regimes = pd.Series(index=returns.index, dtype='object')
for i, date in enumerate(returns.index):
if pd.isna(trend.loc[date]) or pd.isna(vol.loc[date]):
regimes.loc[date] = 'unknown'
continue
t = trend.loc[date]
v = vol.loc[date]
if v > vol_median * 1.5:
regimes.loc[date] = 'high_vol'
elif t > 0.001:
regimes.loc[date] = 'bull'
elif t < -0.001:
regimes.loc[date] = 'bear'
else:
regimes.loc[date] = 'neutral'
self.regimes = regimes
return regimes
def get_regime_stats(self, returns: pd.Series) -> pd.DataFrame:
"""Get performance statistics by regime"""
if len(self.regimes) == 0:
self.detect_regimes(returns)
stats = []
for regime in self.regimes.unique():
mask = self.regimes == regime
regime_returns = returns[mask]
if len(regime_returns) > 0:
stats.append({
'regime': regime,
'n_days': len(regime_returns),
'mean_return': regime_returns.mean() * 252,
'volatility': regime_returns.std() * np.sqrt(252),
'sharpe': (regime_returns.mean() / regime_returns.std()) * np.sqrt(252) if regime_returns.std() > 0 else 0,
'max_drawdown': (regime_returns.cumsum() - regime_returns.cumsum().cummax()).min()
})
return pd.DataFrame(stats)
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