| Overall Statistics |
|
Total Orders 1623 Average Win 0.24% Average Loss -0.18% Compounding Annual Return 10.298% Drawdown 15.500% Expectancy 0.382 Start Equity 100000 End Equity 167276.97 Net Profit 67.277% Sharpe Ratio 0.412 Sortino Ratio 0.502 Probabilistic Sharpe Ratio 27.606% Loss Rate 41% Win Rate 59% Profit-Loss Ratio 1.35 Alpha 0.021 Beta 0.293 Annual Standard Deviation 0.089 Annual Variance 0.008 Information Ratio -0.142 Tracking Error 0.127 Treynor Ratio 0.125 Total Fees $0.00 Estimated Strategy Capacity $16000000.00 Lowest Capacity Asset NVS RULY784EQ6AT Portfolio Turnover 2.62% Drawdown Recovery 683 |
from AlgorithmImports import *
import pandas as pd
import numpy as np
from scipy.cluster.hierarchy import dendrogram, linkage
from scipy.spatial.distance import squareform
from sklearn.covariance import OAS
# ==============================================================================
# MARCOS LÓPEZ DE PRADO HRP CLASSES (with Shrinkage & Modifications)
# ==============================================================================
class HierarchicalRiskParity:
def __init__(self):
self.weights = list()
self.seriated_correlations = None
self.seriated_distances = None
self.ordered_indices = None
self.clusters = None
@staticmethod
def _tree_clustering(correlation, method='single'):
distances = np.sqrt((1 - correlation).round(5) / 2)
clusters = linkage(squareform(distances.values), method=method)
return distances, clusters
def _quasi_diagnalization(self, num_assets, curr_index):
if curr_index < num_assets:
return [curr_index]
left = int(self.clusters[curr_index - num_assets, 0])
right = int(self.clusters[curr_index - num_assets, 1])
return (self._quasi_diagnalization(num_assets, left) + self._quasi_diagnalization(num_assets, right))
def _get_seriated_matrix(self, assets, distances, correlations):
ordering = assets[self.ordered_indices]
seriated_distances = distances.loc[ordering, ordering]
seriated_correlations = correlations.loc[ordering, ordering]
return seriated_distances, seriated_correlations
def _recursive_bisection(self, covariances, assets):
self.weights = pd.Series(1.0, index=self.ordered_indices)
clustered_alphas = [self.ordered_indices]
while clustered_alphas:
clustered_alphas = [cluster[start:end]
for cluster in clustered_alphas
for start, end in ((0, len(cluster) // 2), (len(cluster) // 2, len(cluster)))
if len(cluster) > 1]
for subcluster in range(0, len(clustered_alphas), 2):
left_cluster = clustered_alphas[subcluster]
right_cluster = clustered_alphas[subcluster + 1]
left_subcovar = covariances.iloc[left_cluster, left_cluster]
inv_diag = 1 / np.diag(left_subcovar.values)
parity_w = inv_diag * (1 / np.sum(inv_diag))
left_cluster_var = np.dot(parity_w, np.dot(left_subcovar, parity_w))
right_subcovar = covariances.iloc[right_cluster, right_cluster]
inv_diag = 1 / np.diag(right_subcovar.values)
parity_w = inv_diag * (1 / np.sum(inv_diag))
right_cluster_var = np.dot(parity_w, np.dot(right_subcovar, parity_w))
alloc_factor = 1 - left_cluster_var / (left_cluster_var + right_cluster_var)
self.weights[left_cluster] *= alloc_factor
self.weights[right_cluster] *= 1 - alloc_factor
self.weights.index = assets[self.ordered_indices]
self.weights = pd.DataFrame(self.weights).T
@staticmethod
def _calculate_returns(asset_prices, resample_by):
if resample_by is not None:
asset_prices = asset_prices.resample(resample_by).last()
asset_returns = asset_prices.pct_change()
asset_returns = asset_returns.dropna(how='all')
return asset_returns
@staticmethod
def _shrink_covariance(covariance):
oas = OAS()
oas.fit(covariance)
shrinked_covariance = oas.covariance_
return pd.DataFrame(shrinked_covariance, index=covariance.columns, columns=covariance.columns)
@staticmethod
def _cov2corr(covariance):
d_matrix = np.zeros_like(covariance)
diagnoal_sqrt = np.sqrt(np.diag(covariance))
np.fill_diagonal(d_matrix, diagnoal_sqrt)
d_inv = np.linalg.inv(d_matrix)
corr = np.dot(np.dot(d_inv, covariance), d_inv)
corr = pd.DataFrame(corr, index=covariance.columns, columns=covariance.columns)
return corr
class HierarchicalRiskParityModified(HierarchicalRiskParity):
def allocate(self, asset_prices, covariance, resample_by='B', use_shrinkage=False):
if not isinstance(asset_prices, pd.DataFrame):
raise ValueError("Asset prices matrix must be a dataframe")
if not isinstance(asset_prices.index, pd.DatetimeIndex):
raise ValueError("Asset prices dataframe must be indexed by date.")
asset_returns = self._calculate_returns(asset_prices, resample_by=resample_by)
num_assets = asset_returns.shape[1]
assets = asset_returns.columns
cov = pd.DataFrame(covariance, columns=assets, index=assets)
if use_shrinkage:
cov = self._shrink_covariance(covariance=cov)
corr = self._cov2corr(covariance=cov)
distances, self.clusters = self._tree_clustering(correlation=corr)
self.ordered_indices = self._quasi_diagnalization(num_assets, 2 * num_assets - 2)
self.seriated_distances, self.seriated_correlations = self._get_seriated_matrix(assets=assets, distances=distances, correlations=corr)
self._recursive_bisection(covariances=cov, assets=assets)
# ==============================================================================
# CUSTOM SECURITY INITIALIZER (For Slippage & Brokerage Models)
# ==============================================================================
class CustomSecurityInitializer(BrokerageModelSecurityInitializer):
def __init__(self, brokerage_model, security_seeder):
super().__init__(brokerage_model, security_seeder)
def Initialize(self, security):
# 1. Apply the default Alpaca brokerage models (fees, margin, etc.)
super().Initialize(security)
# 2. Apply our custom 0.1% slippage penalty on top
security.SetSlippageModel(ConstantSlippageModel(0.001))
# ==============================================================================
# QUANTCONNECT ALGORITHM
# ==============================================================================
class UltimateFactorHRP(QCAlgorithm):
def Initialize(self):
self.SetStartDate(2021, 1, 1)
self.SetCash(100000)
# 1. Environment & Universe
self.UniverseSettings.Resolution = Resolution.Minute
self.AddUniverse(self.FundamentalSelection)
self.spy = self.AddEquity("SPY", Resolution.Minute).Symbol
# 2. Strategy Variables
self.max_candidates = 50
self.final_count = 30 # Increased to 30 stocks
self.candidates = []
# 3. State Variables
self.next_universe_time = self.Time
self.pending_weights = {}
self.pending_liquidations = []
self.SetWarmUp(60)
# 4. Brokerage & Custom Security Initializer
self.SetBrokerageModel(BrokerageName.ALPACA)
self.SetSecurityInitializer(CustomSecurityInitializer(self.BrokerageModel, SecuritySeeder.Null))
# 5. Scheduling (Weekly Rebalance)
self.Schedule.On(self.DateRules.MonthStart(self.spy),
self.TimeRules.AfterMarketOpen(self.spy, 30),
self.QueueTrades)
def FundamentalSelection(self, fundamental):
"""Locks universe updates to a weekly cycle"""
if self.Time < self.next_universe_time:
return Universe.Unchanged
self.next_universe_time = self.Time + timedelta(days=7)
filtered = [f for f in fundamental if f.HasFundamentalData and f.Price > 5 and f.MarketCap > 1e8]
sorted_by_cap = sorted(filtered, key=lambda x: x.MarketCap, reverse=True)
self.candidates = [x.Symbol for x in sorted_by_cap[:self.max_candidates]]
return self.candidates
def QueueTrades(self):
"""Calculates weekly targets and pushes them into the execution queues"""
if self.IsWarmingUp or not self.candidates: return
# Risk-Off Check
spy_history = self.History(self.spy, 200, Resolution.Daily)
if not spy_history.empty:
spy_current = spy_history['close'].iloc[-1]
spy_sma = spy_history['close'].mean()
if spy_current < spy_sma:
self.Liquidate()
self.pending_weights.clear()
self.Debug("Market Risk-Off: Liquidating to Cash")
return
# Fetch candidate history
history = self.History(self.candidates, 60, Resolution.Daily)
if history.empty: return
prices = history['close'].unstack(level=0).ffill().dropna(axis=1)
if prices.empty or len(prices.columns) < self.final_count: return
# Target Top 25 Momentum Stocks
mom_scores = (prices.iloc[-1] / prices.iloc[0]) - 1
top_symbols = mom_scores.sort_values(ascending=False).head(self.final_count).index.tolist()
target_prices = prices[top_symbols]
target_prices.index = pd.to_datetime(target_prices.index)
try:
# HRP Math & Allocation
target_returns = target_prices.pct_change().dropna(how='all')
target_cov = target_returns.cov()
hrp = HierarchicalRiskParityModified()
hrp.allocate(asset_prices=target_prices, covariance=target_cov, resample_by='B', use_shrinkage=True)
hrp_weights_series = hrp.weights.iloc[0]
# Queue Liquidations
current_holdings = [x.Key for x in self.Portfolio if x.Value.Invested]
self.pending_liquidations = [sym for sym in current_holdings if sym not in hrp_weights_series.index]
# Set Target Weights Directly (Buffer Removed)
self.pending_weights = hrp_weights_series.to_dict()
# Trigger first attempt
self.ExecutePendingTrades()
except Exception as e:
self.Debug(f"Trade Execution Error: {e}")
def OnData(self, data):
"""Fallback loop: Retries stuck trades every 10 minutes"""
if not self.pending_weights and not self.pending_liquidations: return
if self.Time.minute % 10 == 0:
self.ExecutePendingTrades()
def ExecutePendingTrades(self):
"""Safely processes the queues only if valid live price data exists"""
completed_liquidations = []
for symbol in self.pending_liquidations:
if self.Securities.ContainsKey(symbol) and self.Securities[symbol].Price > 0:
self.SetHoldings(symbol, 0)
completed_liquidations.append(symbol)
for symbol in completed_liquidations:
self.pending_liquidations.remove(symbol)
completed_allocations = []
for symbol, weight in self.pending_weights.items():
if self.Securities.ContainsKey(symbol) and self.Securities[symbol].Price > 0:
self.SetHoldings(symbol, weight)
completed_allocations.append(symbol)
for symbol in completed_allocations:
del self.pending_weights[symbol]from AlgorithmImports import *
import pandas as pd
import numpy as np
from scipy.cluster.hierarchy import dendrogram, linkage
from scipy.spatial.distance import squareform
from sklearn.covariance import OAS
# ==============================================================================
# MARCOS LÓPEZ DE PRADO HRP CLASSES (with Shrinkage & Modifications)
# ==============================================================================
class HierarchicalRiskParity:
def __init__(self):
self.weights = list()
self.seriated_correlations = None
self.seriated_distances = None
self.ordered_indices = None
self.clusters = None
@staticmethod
def _tree_clustering(correlation, method='single'):
distances = np.sqrt((1 - correlation).round(5) / 2)
clusters = linkage(squareform(distances.values), method=method)
return distances, clusters
def _quasi_diagnalization(self, num_assets, curr_index):
if curr_index < num_assets:
return [curr_index]
left = int(self.clusters[curr_index - num_assets, 0])
right = int(self.clusters[curr_index - num_assets, 1])
return (self._quasi_diagnalization(num_assets, left) + self._quasi_diagnalization(num_assets, right))
def _get_seriated_matrix(self, assets, distances, correlations):
ordering = assets[self.ordered_indices]
seriated_distances = distances.loc[ordering, ordering]
seriated_correlations = correlations.loc[ordering, ordering]
return seriated_distances, seriated_correlations
def _recursive_bisection(self, covariances, assets):
self.weights = pd.Series(1.0, index=self.ordered_indices)
clustered_alphas = [self.ordered_indices]
while clustered_alphas:
clustered_alphas = [cluster[start:end]
for cluster in clustered_alphas
for start, end in ((0, len(cluster) // 2), (len(cluster) // 2, len(cluster)))
if len(cluster) > 1]
for subcluster in range(0, len(clustered_alphas), 2):
left_cluster = clustered_alphas[subcluster]
right_cluster = clustered_alphas[subcluster + 1]
left_subcovar = covariances.iloc[left_cluster, left_cluster]
inv_diag = 1 / np.diag(left_subcovar.values)
parity_w = inv_diag * (1 / np.sum(inv_diag))
left_cluster_var = np.dot(parity_w, np.dot(left_subcovar, parity_w))
right_subcovar = covariances.iloc[right_cluster, right_cluster]
inv_diag = 1 / np.diag(right_subcovar.values)
parity_w = inv_diag * (1 / np.sum(inv_diag))
right_cluster_var = np.dot(parity_w, np.dot(right_subcovar, parity_w))
alloc_factor = 1 - left_cluster_var / (left_cluster_var + right_cluster_var)
self.weights[left_cluster] *= alloc_factor
self.weights[right_cluster] *= 1 - alloc_factor
self.weights.index = assets[self.ordered_indices]
self.weights = pd.DataFrame(self.weights).T
@staticmethod
def _calculate_returns(asset_prices, resample_by):
if resample_by is not None:
asset_prices = asset_prices.resample(resample_by).last()
asset_returns = asset_prices.pct_change()
asset_returns = asset_returns.dropna(how='all')
return asset_returns
@staticmethod
def _shrink_covariance(covariance):
oas = OAS()
oas.fit(covariance)
shrinked_covariance = oas.covariance_
return pd.DataFrame(shrinked_covariance, index=covariance.columns, columns=covariance.columns)
@staticmethod
def _cov2corr(covariance):
d_matrix = np.zeros_like(covariance)
diagnoal_sqrt = np.sqrt(np.diag(covariance))
np.fill_diagonal(d_matrix, diagnoal_sqrt)
d_inv = np.linalg.inv(d_matrix)
corr = np.dot(np.dot(d_inv, covariance), d_inv)
corr = pd.DataFrame(corr, index=covariance.columns, columns=covariance.columns)
return corr
class HierarchicalRiskParityModified(HierarchicalRiskParity):
def allocate(self, asset_prices, covariance, resample_by='B', use_shrinkage=False):
if not isinstance(asset_prices, pd.DataFrame):
raise ValueError("Asset prices matrix must be a dataframe")
if not isinstance(asset_prices.index, pd.DatetimeIndex):
raise ValueError("Asset prices dataframe must be indexed by date.")
asset_returns = self._calculate_returns(asset_prices, resample_by=resample_by)
num_assets = asset_returns.shape[1]
assets = asset_returns.columns
cov = pd.DataFrame(covariance, columns=assets, index=assets)
if use_shrinkage:
cov = self._shrink_covariance(covariance=cov)
corr = self._cov2corr(covariance=cov)
distances, self.clusters = self._tree_clustering(correlation=corr)
self.ordered_indices = self._quasi_diagnalization(num_assets, 2 * num_assets - 2)
self.seriated_distances, self.seriated_correlations = self._get_seriated_matrix(assets=assets, distances=distances, correlations=corr)
self._recursive_bisection(covariances=cov, assets=assets)
# ==============================================================================
# CUSTOM SECURITY INITIALIZER (For Slippage & Brokerage Models)
# ==============================================================================
class CustomSecurityInitializer(BrokerageModelSecurityInitializer):
def __init__(self, brokerage_model, security_seeder):
super().__init__(brokerage_model, security_seeder)
def Initialize(self, security):
# 1. Apply the default Alpaca brokerage models (fees, margin, etc.)
super().Initialize(security)
# 2. Apply our custom 0.1% slippage penalty on top
security.SetSlippageModel(ConstantSlippageModel(0.001))
# ==============================================================================
# QUANTCONNECT ALGORITHM
# ==============================================================================
class UltimateFactorHRP(QCAlgorithm):
def Initialize(self):
self.SetStartDate(2021, 1, 1)
self.SetCash(100000)
# 1. Environment & Universe
self.UniverseSettings.Resolution = Resolution.Minute
self.AddUniverse(self.FundamentalSelection)
self.spy = self.AddEquity("SPY", Resolution.Minute).Symbol
# 2. Strategy Variables
self.max_candidates = 50
self.final_count = 15
self.candidates = []
self.weight_buffer = 0.02 # 2% weight delta buffer
# 3. State Variables
self.next_universe_time = self.Time
self.pending_weights = {}
self.pending_liquidations = []
self.SetWarmUp(60)
# 4. Brokerage & Custom Security Initializer
self.SetBrokerageModel(BrokerageName.ALPACA)
self.SetSecurityInitializer(CustomSecurityInitializer(self.BrokerageModel, SecuritySeeder.Null))
# 5. Scheduling (Daily Rebalance)
self.Schedule.On(self.DateRules.EveryDay(self.spy),
self.TimeRules.AfterMarketOpen(self.spy, 30),
self.QueueTrades)
def FundamentalSelection(self, fundamental):
"""Locks universe updates to a weekly cycle"""
if self.Time < self.next_universe_time:
return Universe.Unchanged
self.next_universe_time = self.Time + timedelta(days=7)
filtered = [f for f in fundamental if f.HasFundamentalData and f.Price > 5 and f.MarketCap > 1e8]
sorted_by_cap = sorted(filtered, key=lambda x: x.MarketCap, reverse=True)
self.candidates = [x.Symbol for x in sorted_by_cap[:self.max_candidates]]
return self.candidates
def QueueTrades(self):
"""Calculates daily targets and pushes them into the execution queues"""
if self.IsWarmingUp or not self.candidates: return
# Risk-Off Check
spy_history = self.History(self.spy, 200, Resolution.Daily)
if not spy_history.empty:
spy_current = spy_history['close'].iloc[-1]
spy_sma = spy_history['close'].mean()
if spy_current < spy_sma:
self.Liquidate()
self.pending_weights.clear()
self.Debug("Market Risk-Off: Liquidating to Cash")
return
# Fetch candidate history
history = self.History(self.candidates, 60, Resolution.Daily)
if history.empty: return
prices = history['close'].unstack(level=0).ffill().dropna(axis=1)
if prices.empty or len(prices.columns) < self.final_count: return
# Target Top 15 Momentum Stocks
mom_scores = (prices.iloc[-1] / prices.iloc[0]) - 1
top_symbols = mom_scores.sort_values(ascending=False).head(self.final_count).index.tolist()
target_prices = prices[top_symbols]
target_prices.index = pd.to_datetime(target_prices.index)
try:
# HRP Math & Allocation
target_returns = target_prices.pct_change().dropna(how='all')
target_cov = target_returns.cov()
hrp = HierarchicalRiskParityModified()
hrp.allocate(asset_prices=target_prices, covariance=target_cov, resample_by='B', use_shrinkage=True)
hrp_weights_series = hrp.weights.iloc[0]
# Queue Liquidations
current_holdings = [x.Key for x in self.Portfolio if x.Value.Invested]
self.pending_liquidations = [sym for sym in current_holdings if sym not in hrp_weights_series.index]
# Apply Weight Delta Filter
self.pending_weights.clear()
for symbol, target_weight in hrp_weights_series.items():
current_weight = 0
if self.Portfolio.ContainsKey(symbol) and self.Portfolio[symbol].Invested:
current_weight = self.Portfolio[symbol].HoldingsValue / self.Portfolio.TotalPortfolioValue
weight_delta = abs(target_weight - current_weight)
if weight_delta >= self.weight_buffer:
self.pending_weights[symbol] = target_weight
# Trigger first attempt
self.ExecutePendingTrades()
except Exception as e:
self.Debug(f"Trade Execution Error: {e}")
def OnData(self, data):
"""Fallback loop: Retries stuck trades every 10 minutes"""
if not self.pending_weights and not self.pending_liquidations: return
if self.Time.minute % 10 == 0:
self.ExecutePendingTrades()
def ExecutePendingTrades(self):
"""Safely processes the queues only if valid live price data exists"""
completed_liquidations = []
for symbol in self.pending_liquidations:
if self.Securities.ContainsKey(symbol) and self.Securities[symbol].Price > 0:
self.SetHoldings(symbol, 0)
completed_liquidations.append(symbol)
for symbol in completed_liquidations:
self.pending_liquidations.remove(symbol)
completed_allocations = []
for symbol, weight in self.pending_weights.items():
if self.Securities.ContainsKey(symbol) and self.Securities[symbol].Price > 0:
self.SetHoldings(symbol, weight)
completed_allocations.append(symbol)
for symbol in completed_allocations:
del self.pending_weights[symbol]