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回测引擎
Backtesting Engine (FIN 555, FIN 557, FIN 598)
"""
import pandas as pd
import numpy as np
from typing import Dict, List, Optional, Tuple, Union, Callable
import matplotlib.pyplot as plt
import seaborn as sns
from datetime import datetime, timedelta
import logging
from scipy import stats
from scipy.optimize import minimize_scalar
import warnings
warnings.filterwarnings('ignore')
try:
from nolitsa import dimension, lyapunov
NOLITSA_AVAILABLE = True
except ImportError:
NOLITSA_AVAILABLE = False
class BacktestEngine:
"""回测引擎主类"""
def __init__(self, initial_capital: float = 1000000,
transaction_cost: float = 0.001,
slippage: float = 0.0005,
max_leverage: float = 1.0):
self.initial_capital = initial_capital
self.transaction_cost = transaction_cost
self.slippage = slippage
self.max_leverage = max_leverage
# 回测历史
self.portfolio_history = []
self.trade_history = []
self.rebalance_history = []
# 当前状态
self.current_weights = None
self.current_capital = initial_capital
self.current_positions = None
# 性能统计
self.performance_stats = {}
self.logger = logging.getLogger(__name__)
def run_backtest(self, prices: pd.DataFrame,
signals: pd.DataFrame,
strategy_func: Callable,
rebalance_frequency: str = 'daily',
risk_management: Dict = None) -> Dict[str, any]:
"""
运行完整回测
Args:
prices: 资产价格数据 (index: 时间, columns: 资产)
signals: 交易信号数据
strategy_func: 策略函数,输入信号输出权重
rebalance_frequency: 再平衡频率 ('daily', 'weekly', 'monthly')
risk_management: 风险管理参数
Returns:
Dict: 回测结果
"""
# 数据对齐
common_index = prices.index.intersection(signals.index)
prices = prices.loc[common_index]
signals = signals.loc[common_index]
if len(common_index) == 0:
raise ValueError("No common dates between prices and signals")
# 初始化
self._initialize_backtest(prices.columns)
# 确定再平衡日期
rebalance_dates = self._get_rebalance_dates(common_index, rebalance_frequency)
# 主回测循环
portfolio_values = [self.initial_capital]
returns_series = []
for i, date in enumerate(common_index):
current_prices = prices.loc[date]
current_signals = signals.loc[date]
# 更新投资组合价值
if i > 0:
previous_prices = prices.loc[common_index[i-1]]
price_returns = (current_prices / previous_prices - 1).fillna(0)
# 计算投资组合收益
if self.current_weights is not None:
portfolio_return = np.dot(self.current_weights, price_returns)
self.current_capital *= (1 + portfolio_return)
returns_series.append(portfolio_return)
else:
returns_series.append(0.0)
# 检查是否需要再平衡
if date in rebalance_dates or i == 0:
# 计算目标权重
target_weights = strategy_func(current_signals, current_prices, date)
# 应用风险管理
if risk_management:
target_weights = self._apply_risk_management(
target_weights, current_prices, risk_management
)
# 执行再平衡
self._execute_rebalance(target_weights, current_prices, date)
# 记录投资组合状态
portfolio_values.append(self.current_capital)
self._record_portfolio_state(date, current_prices)
# 计算性能指标
returns_df = pd.Series(returns_series, index=common_index[1:])
portfolio_values_df = pd.Series(portfolio_values[1:], index=common_index)
performance_stats = self.calculate_performance_metrics(
returns_df, portfolio_values_df
)
# 汇总结果
backtest_results = {
'portfolio_values': portfolio_values_df,
'returns': returns_df,
'performance_stats': performance_stats,
'trade_history': pd.DataFrame(self.trade_history),
'rebalance_history': pd.DataFrame(self.rebalance_history),
'final_capital': self.current_capital,
'total_return': (self.current_capital - self.initial_capital) / self.initial_capital
}
return backtest_results
def _initialize_backtest(self, asset_names: List[str]):
"""初始化回测"""
n_assets = len(asset_names)
self.current_weights = np.zeros(n_assets)
self.current_positions = pd.Series(0.0, index=asset_names)
self.asset_names = asset_names
# 清空历史记录
self.portfolio_history.clear()
self.trade_history.clear()
self.rebalance_history.clear()
def _get_rebalance_dates(self, date_index: pd.DatetimeIndex, frequency: str) -> List[pd.Timestamp]:
"""获取再平衡日期"""
if frequency == 'daily':
return date_index.tolist()
elif frequency == 'weekly':
return date_index[date_index.weekday == 0].tolist() # 每周一
elif frequency == 'monthly':
return date_index.groupby([date_index.year, date_index.month]).first().tolist()
else:
raise ValueError(f"Unsupported rebalance frequency: {frequency}")
def _execute_rebalance(self, target_weights: np.ndarray,
current_prices: pd.Series, date: pd.Timestamp):
"""执行再平衡"""
if self.current_weights is None:
self.current_weights = np.zeros(len(target_weights))
# 计算权重变化
weight_changes = target_weights - self.current_weights
# 计算交易量
trade_values = np.abs(weight_changes) * self.current_capital
# 计算交易成本
transaction_costs = self._calculate_transaction_costs(
weight_changes, current_prices, self.current_capital
)
# 扣除交易成本
self.current_capital -= transaction_costs['total']
# 更新权重
self.current_weights = target_weights.copy()
# 更新持仓
self.current_positions = (self.current_weights * self.current_capital / current_prices).fillna(0)
# 记录交易
for i, asset in enumerate(self.asset_names):
if abs(weight_changes[i]) > 1e-6:
trade_record = {
'date': date,
'asset': asset,
'action': 'buy' if weight_changes[i] > 0 else 'sell',
'weight_change': weight_changes[i],
'value': abs(weight_changes[i]) * self.current_capital,
'price': current_prices[asset],
'shares': abs(weight_changes[i]) * self.current_capital / current_prices[asset]
}
self.trade_history.append(trade_record)
# 记录再平衡
rebalance_record = {
'date': date,
'previous_weights': self.current_weights - weight_changes,
'target_weights': target_weights.copy(),
'actual_weights': self.current_weights.copy(),
'transaction_costs': transaction_costs,
'portfolio_value': self.current_capital
}
self.rebalance_history.append(rebalance_record)
def _calculate_transaction_costs(self, weight_changes: np.ndarray,
prices: pd.Series, portfolio_value: float) -> Dict[str, float]:
"""计算交易成本"""
trade_values = np.abs(weight_changes) * portfolio_value
total_trade_value = np.sum(trade_values)
costs = {}
# 固定佣金成本
costs['commission'] = total_trade_value * self.transaction_cost
# 滑点成本
costs['slippage'] = total_trade_value * self.slippage
# 买卖价差成本(简化)
costs['bid_ask_spread'] = total_trade_value * 0.001
# 市场冲击成本(与交易量的平方根成正比)
market_impact_rate = 0.0001 * np.sqrt(total_trade_value / portfolio_value)
costs['market_impact'] = total_trade_value * market_impact_rate
costs['total'] = sum(costs.values())
return costs
def _apply_risk_management(self, target_weights: np.ndarray,
prices: pd.Series, risk_params: Dict) -> np.ndarray:
"""应用风险管理规则"""
adjusted_weights = target_weights.copy()
# 单一资产权重限制
if 'max_weight' in risk_params:
max_weight = risk_params['max_weight']
adjusted_weights = np.minimum(adjusted_weights, max_weight)
# 最小权重限制
if 'min_weight' in risk_params:
min_weight = risk_params['min_weight']
adjusted_weights = np.maximum(adjusted_weights, min_weight)
# 杠杆限制
if 'max_leverage' in risk_params:
max_leverage = risk_params['max_leverage']
total_exposure = np.sum(np.abs(adjusted_weights))
if total_exposure > max_leverage:
adjusted_weights *= max_leverage / total_exposure
# 换手率限制
if 'max_turnover' in risk_params and self.current_weights is not None:
max_turnover = risk_params['max_turnover']
weight_changes = adjusted_weights - self.current_weights
current_turnover = np.sum(np.abs(weight_changes))
if current_turnover > max_turnover:
# 按比例缩减权重变化
scale_factor = max_turnover / current_turnover
adjusted_weights = self.current_weights + weight_changes * scale_factor
# 再次归一化权重(如果需要)
if np.sum(adjusted_weights) > 0:
adjusted_weights = adjusted_weights / np.sum(adjusted_weights)
return adjusted_weights
def _record_portfolio_state(self, date: pd.Timestamp, prices: pd.Series):
"""记录投资组合状态"""
state = {
'date': date,
'portfolio_value': self.current_capital,
'weights': self.current_weights.copy() if self.current_weights is not None else None,
'positions': self.current_positions.copy(),
'prices': prices.copy()
}
self.portfolio_history.append(state)
def calculate_performance_metrics(self, returns: pd.Series,
portfolio_values: pd.Series,
risk_free_rate: float = 0.02) -> Dict[str, float]:
"""计算性能指标"""
metrics = {}
# 基本收益统计
total_return = (portfolio_values.iloc[-1] - portfolio_values.iloc[0]) / portfolio_values.iloc[0]
annualized_return = (1 + total_return) ** (252 / len(returns)) - 1
# 风险统计
volatility = returns.std() * np.sqrt(252)
downside_vol = returns[returns < 0].std() * np.sqrt(252)
# 风险调整指标
sharpe_ratio = (annualized_return - risk_free_rate) / volatility if volatility > 0 else 0
sortino_ratio = (annualized_return - risk_free_rate) / downside_vol if downside_vol > 0 else 0
# 回撤分析
drawdown_stats = self.calculate_drawdown_stats(portfolio_values)
# VaR和ES
var_95 = np.percentile(returns, 5)
var_99 = np.percentile(returns, 1)
es_95 = returns[returns <= var_95].mean()
es_99 = returns[returns <= var_99].mean()
# 其他指标
win_rate = (returns > 0).mean()
profit_factor = returns[returns > 0].sum() / abs(returns[returns < 0].sum()) if (returns < 0).any() else np.inf
# 偏度和峰度
skewness = stats.skew(returns)
kurtosis = stats.kurtosis(returns)
# Calmar比率
calmar_ratio = annualized_return / abs(drawdown_stats['max_drawdown']) if drawdown_stats['max_drawdown'] < 0 else np.inf
# 信息比率(这里简化处理,假设基准收益为0)
information_ratio = annualized_return / volatility if volatility > 0 else 0
metrics.update({
'total_return': total_return,
'annualized_return': annualized_return,
'volatility': volatility,
'downside_volatility': downside_vol,
'sharpe_ratio': sharpe_ratio,
'sortino_ratio': sortino_ratio,
'calmar_ratio': calmar_ratio,
'information_ratio': information_ratio,
'max_drawdown': drawdown_stats['max_drawdown'],
'max_drawdown_duration': drawdown_stats['max_drawdown_duration'],
'var_95': var_95,
'var_99': var_99,
'expected_shortfall_95': es_95,
'expected_shortfall_99': es_99,
'win_rate': win_rate,
'profit_factor': profit_factor,
'skewness': skewness,
'kurtosis': kurtosis,
'num_trades': len(self.trade_history),
'avg_trade_size': np.mean([t['value'] for t in self.trade_history]) if self.trade_history else 0
})
return metrics
def calculate_drawdown_stats(self, portfolio_values: pd.Series) -> Dict[str, float]:
"""计算回撤统计"""
# 计算累积最高点
cumulative_max = portfolio_values.expanding().max()
# 计算回撤
drawdowns = (portfolio_values - cumulative_max) / cumulative_max
# 最大回撤
max_drawdown = drawdowns.min()
# 最大回撤持续时间
drawdown_duration = 0
max_duration = 0
for dd in drawdowns:
if dd < 0:
drawdown_duration += 1
max_duration = max(max_duration, drawdown_duration)
else:
drawdown_duration = 0
# 平均回撤
avg_drawdown = drawdowns[drawdowns < 0].mean() if (drawdowns < 0).any() else 0
# 回撤频率
drawdown_periods = (drawdowns < -0.05).sum() # 大于5%回撤的期数
return {
'max_drawdown': max_drawdown,
'max_drawdown_duration': max_duration,
'avg_drawdown': avg_drawdown,
'drawdown_frequency': drawdown_periods / len(drawdowns)
}
def calculate_stability_metrics(self, returns: pd.Series) -> Dict[str, float]:
"""计算稳定性指标"""
stability_metrics = {}
if NOLITSA_AVAILABLE and len(returns) > 100:
try:
# Lyapunov指数分析
returns_array = returns.dropna().values
# 嵌入维数和延迟参数估计
embedding_dim = min(10, len(returns_array) // 20)
delay = 1
# 重构相空间
embedded = dimension.embed(returns_array, dim=embedding_dim, tau=delay)
# 计算最大Lyapunov指数
lle = lyapunov.mle(embedded, maxt=min(50, len(embedded)//4))
stability_metrics['lyapunov_exponent'] = float(lle) if not np.isnan(lle) else 0.0
stability_metrics['is_chaotic'] = lle > 0.01
stability_metrics['system_stability'] = 'unstable' if lle > 0.05 else 'stable'
except Exception as e:
self.logger.warning(f"Lyapunov analysis failed: {str(e)}")
stability_metrics['lyapunov_exponent'] = 0.0
stability_metrics['is_chaotic'] = False
stability_metrics['system_stability'] = 'unknown'
else:
# 简化稳定性分析
volatility_stability = returns.rolling(window=60).std().std() if len(returns) > 60 else np.nan
return_stability = returns.rolling(window=60).mean().std() if len(returns) > 60 else np.nan
stability_metrics.update({
'volatility_stability': volatility_stability,
'return_stability': return_stability,
'lyapunov_exponent': 0.0,
'is_chaotic': False,
'system_stability': 'stable' if volatility_stability < 0.01 else 'unstable'
})
# 计算Hurst指数
hurst_exponent = self._calculate_hurst_exponent(returns.values)
stability_metrics['hurst_exponent'] = hurst_exponent
stability_metrics['persistence_type'] = self._interpret_hurst(hurst_exponent)
return stability_metrics
def _calculate_hurst_exponent(self, series: np.ndarray) -> float:
"""计算Hurst指数"""
try:
n = len(series)
if n < 50:
return 0.5
# R/S分析
max_k = n // 4
rs_values = []
time_scales = []
for k in range(10, max_k, max(1, max_k // 20)):
n_subseries = n // k
rs_subseries = []
for i in range(n_subseries):
subseries = series[i*k:(i+1)*k]
if len(subseries) < 2:
continue
mean_sub = np.mean(subseries)
cumulative_deviations = np.cumsum(subseries - mean_sub)
R = np.max(cumulative_deviations) - np.min(cumulative_deviations)
S = np.std(subseries)
if S > 1e-10:
rs_subseries.append(R / S)
if rs_subseries:
rs_values.append(np.mean(rs_subseries))
time_scales.append(k)
if len(rs_values) >= 5:
log_rs = np.log(rs_values)
log_scales = np.log(time_scales)
# 线性回归
valid_indices = np.isfinite(log_rs) & np.isfinite(log_scales)
if np.sum(valid_indices) >= 5:
hurst, _ = np.polyfit(log_scales[valid_indices], log_rs[valid_indices], 1)
return max(0, min(1, hurst))
return 0.5
except Exception:
return 0.5
def _interpret_hurst(self, hurst: float) -> str:
"""解释Hurst指数"""
if hurst < 0.4:
return "Mean-reverting"
elif hurst > 0.6:
return "Trending"
else:
return "Random walk"
def generate_backtest_report(self, backtest_results: Dict,
save_path: Optional[str] = None) -> str:
"""生成回测报告"""
report_lines = []
# 标题
report_lines.append("=" * 60)
report_lines.append("PORTFOLIO BACKTEST REPORT")
report_lines.append("=" * 60)
report_lines.append(f"Generated: {datetime.now().strftime('%Y-%m-%d %H:%M:%S')}")
report_lines.append("")
# 基本信息
report_lines.append("BASIC INFORMATION")
report_lines.append("-" * 20)
report_lines.append(f"Initial Capital: ${self.initial_capital:,.2f}")
report_lines.append(f"Final Capital: ${backtest_results['final_capital']:,.2f}")
report_lines.append(f"Total Return: {backtest_results['total_return']:.2%}")
report_lines.append(f"Number of Trades: {len(backtest_results['trade_history'])}")
report_lines.append("")
# 性能指标
perf_stats = backtest_results['performance_stats']
report_lines.append("PERFORMANCE METRICS")
report_lines.append("-" * 20)
report_lines.append(f"Annualized Return: {perf_stats['annualized_return']:.2%}")
report_lines.append(f"Volatility: {perf_stats['volatility']:.2%}")
report_lines.append(f"Sharpe Ratio: {perf_stats['sharpe_ratio']:.3f}")
report_lines.append(f"Sortino Ratio: {perf_stats['sortino_ratio']:.3f}")
report_lines.append(f"Calmar Ratio: {perf_stats['calmar_ratio']:.3f}")
report_lines.append(f"Max Drawdown: {perf_stats['max_drawdown']:.2%}")
report_lines.append(f"Win Rate: {perf_stats['win_rate']:.2%}")
report_lines.append("")
# 风险指标
report_lines.append("RISK METRICS")
report_lines.append("-" * 20)
report_lines.append(f"VaR (95%): {perf_stats['var_95']:.2%}")
report_lines.append(f"VaR (99%): {perf_stats['var_99']:.2%}")
report_lines.append(f"Expected Shortfall (95%): {perf_stats['expected_shortfall_95']:.2%}")
report_lines.append(f"Skewness: {perf_stats['skewness']:.3f}")
report_lines.append(f"Kurtosis: {perf_stats['kurtosis']:.3f}")
report_lines.append("")
# 稳定性分析
stability_stats = self.calculate_stability_metrics(backtest_results['returns'])
report_lines.append("STABILITY ANALYSIS")
report_lines.append("-" * 20)
report_lines.append(f"Hurst Exponent: {stability_stats['hurst_exponent']:.3f}")
report_lines.append(f"Persistence Type: {stability_stats['persistence_type']}")
report_lines.append(f"Lyapunov Exponent: {stability_stats['lyapunov_exponent']:.6f}")
report_lines.append(f"System Stability: {stability_stats['system_stability']}")
report_lines.append("")
# 交易统计
if len(backtest_results['trade_history']) > 0:
trades_df = backtest_results['trade_history']
report_lines.append("TRADING STATISTICS")
report_lines.append("-" * 20)
report_lines.append(f"Average Trade Size: ${perf_stats['avg_trade_size']:,.2f}")
report_lines.append(f"Buy Trades: {(trades_df['action'] == 'buy').sum()}")
report_lines.append(f"Sell Trades: {(trades_df['action'] == 'sell').sum()}")
if 'value' in trades_df.columns:
report_lines.append(f"Total Trading Volume: ${trades_df['value'].sum():,.2f}")
report_lines.append("")
report_lines.append("=" * 60)
report_text = "\n".join(report_lines)
# 保存报告
if save_path:
with open(save_path, 'w', encoding='utf-8') as f:
f.write(report_text)
self.logger.info(f"Backtest report saved to {save_path}")
return report_text
def plot_results(self, backtest_results: Dict, save_path: Optional[str] = None):
"""绘制回测结果图表"""
fig, axes = plt.subplots(2, 2, figsize=(15, 12))
fig.suptitle('Portfolio Backtest Results', fontsize=16)
# 1. 组合价值曲线
portfolio_values = backtest_results['portfolio_values']
axes[0, 0].plot(portfolio_values.index, portfolio_values.values, linewidth=2, color='blue')
axes[0, 0].set_title('Portfolio Value Over Time')
axes[0, 0].set_ylabel('Portfolio Value ($)')
axes[0, 0].grid(True, alpha=0.3)
axes[0, 0].tick_params(axis='x', rotation=45)
# 2. 回撤曲线
cumulative_max = portfolio_values.expanding().max()
drawdowns = (portfolio_values - cumulative_max) / cumulative_max
axes[0, 1].fill_between(drawdowns.index, drawdowns.values, 0, color='red', alpha=0.3)
axes[0, 1].set_title('Drawdown Over Time')
axes[0, 1].set_ylabel('Drawdown (%)')
axes[0, 1].grid(True, alpha=0.3)
axes[0, 1].tick_params(axis='x', rotation=45)
# 3. 收益分布
returns = backtest_results['returns']
axes[1, 0].hist(returns.values, bins=50, density=True, alpha=0.7, color='green')
axes[1, 0].axvline(returns.mean(), color='red', linestyle='--', label=f'Mean: {returns.mean():.4f}')
axes[1, 0].set_title('Returns Distribution')
axes[1, 0].set_xlabel('Daily Returns')
axes[1, 0].set_ylabel('Density')
axes[1, 0].legend()
axes[1, 0].grid(True, alpha=0.3)
# 4. 滚动Sharpe比率
rolling_sharpe = (returns.rolling(window=60).mean() / returns.rolling(window=60).std()) * np.sqrt(252)
axes[1, 1].plot(rolling_sharpe.index, rolling_sharpe.values, linewidth=1.5, color='purple')
axes[1, 1].axhline(y=0, color='black', linestyle='-', alpha=0.3)
axes[1, 1].set_title('Rolling Sharpe Ratio (60-day)')
axes[1, 1].set_ylabel('Sharpe Ratio')
axes[1, 1].grid(True, alpha=0.3)
axes[1, 1].tick_params(axis='x', rotation=45)
plt.tight_layout()
if save_path:
plt.savefig(save_path, dpi=300, bbox_inches='tight')
self.logger.info(f"Backtest plots saved to {save_path}")
return fig
# 辅助函数和策略示例
def simple_momentum_strategy(signals: pd.Series, prices: pd.Series, date: pd.Timestamp) -> np.ndarray:
"""简单动量策略示例"""
# 基于信号的简单策略
if isinstance(signals, pd.Series):
# 标准化信号
signal_values = signals.fillna(0).values
# 转换为权重(简单线性变换)
weights = np.abs(signal_values)
# 归一化
if np.sum(weights) > 0:
weights = weights / np.sum(weights)
else:
weights = np.ones(len(signal_values)) / len(signal_values)
return weights
else:
# 如果信号是DataFrame,取第一列
return simple_momentum_strategy(signals.iloc[:, 0], prices, date)
def mean_reversion_strategy(signals: pd.Series, prices: pd.Series, date: pd.Timestamp) -> np.ndarray:
"""均值回归策略示例"""
# 计算价格相对于移动平均的偏离
if len(prices) > 20:
ma_20 = prices.rolling(20).mean().iloc[-1]
current_price = prices.iloc[-1]
# 偏离度
deviation = (ma_20 - current_price) / ma_20
# 基于偏离度分配权重
if abs(deviation) > 0.05: # 5%阈值
weights = np.array([1.0 if deviation > 0 else 0.0]) # 简化为单资产
else:
weights = np.array([0.0])
return weights
else:
return np.array([1.0])
# 使用示例和测试
if __name__ == "__main__":
print("Testing Backtesting Engine...")
# 创建示例数据
np.random.seed(42)
dates = pd.date_range('2022-01-01', '2023-12-31', freq='D')
n_assets = 3
# 生成模拟价格数据
returns = np.random.multivariate_normal(
mean=[0.0005, 0.0008, 0.0003], # 不同资产的预期收益
cov=[[0.0004, 0.0001, 0.00005],
[0.0001, 0.0009, 0.0002],
[0.00005, 0.0002, 0.0016]],
size=len(dates)
)
# 转换为价格
prices = pd.DataFrame(
100 * np.exp(np.cumsum(returns, axis=0)),
index=dates,
columns=[f'Asset_{i}' for i in range(n_assets)]
)
# 生成交易信号(简单示例)
signals = pd.DataFrame(
np.random.randn(len(dates), n_assets) * 0.1,
index=dates,
columns=[f'Signal_{i}' for i in range(n_assets)]
)
# 初始化回测引擎
backtest_engine = BacktestEngine(
initial_capital=1000000,
transaction_cost=0.001,
slippage=0.0005
)
# 风险管理参数
risk_management = {
'max_weight': 0.6,
'min_weight': 0.0,
'max_leverage': 1.0,
'max_turnover': 0.5
}
print("Running backtest...")
# 运行回测
results = backtest_engine.run_backtest(
prices=prices,
signals=signals,
strategy_func=simple_momentum_strategy,
rebalance_frequency='weekly',
risk_management=risk_management
)
print("Backtest completed!")
print(f"Final portfolio value: ${results['final_capital']:,.2f}")
print(f"Total return: {results['total_return']:.2%}")
# 显示性能指标
perf_stats = results['performance_stats']
print(f"\nPerformance Metrics:")
print(f"Annualized Return: {perf_stats['annualized_return']:.2%}")
print(f"Volatility: {perf_stats['volatility']:.2%}")
print(f"Sharpe Ratio: {perf_stats['sharpe_ratio']:.3f}")
print(f"Max Drawdown: {perf_stats['max_drawdown']:.2%}")
print(f"Win Rate: {perf_stats['win_rate']:.2%}")
# 稳定性分析
stability_stats = backtest_engine.calculate_stability_metrics(results['returns'])
print(f"\nStability Analysis:")
print(f"Hurst Exponent: {stability_stats['hurst_exponent']:.3f}")
print(f"System Stability: {stability_stats['system_stability']}")
# 生成报告
report = backtest_engine.generate_backtest_report(results)
print("\n" + "="*60)
print("SAMPLE REPORT:")
print("="*60)
print(report[:1000] + "..." if len(report) > 1000 else report)
print("\nBacktest engine tests completed!")
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