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import pandas as pd
import numpy as np
from datetime import datetime, timedelta
def calculate_momentum_signals(prices, start_date):
"""
Calculates 9 momentum signals for each ticker at the given start date.
"""
lookbacks = {"1M": 21, "3M": 63, "6M": 126} # Approximate trading days
tickers = prices.columns[1:] # Exclude the 'Dates' column
start_date = pd.to_datetime(start_date)
# Ensure prices are sorted
prices = prices.sort_values('Dates')
# Ensure start_date is within the available range
if start_date < prices['Dates'].min() or start_date > prices['Dates'].max():
raise ValueError(f"Start date {start_date.strftime('%m/%d/%Y')} is outside the date range of the price data. "
f"Available date range: {prices['Dates'].min().strftime('%m/%d/%Y')} to {prices['Dates'].max().strftime('%m/%d/%Y')}")
# Find nearest available date on or after the start_date
start_date = prices.loc[prices['Dates'] >= start_date, 'Dates'].min()
# Set index to Date
prices = prices.set_index('Dates')
signals_list = []
for date in prices.loc[start_date:].index:
if prices.index.get_loc(date) < max(lookbacks.values()):
continue
pt = prices.loc[date, tickers]
signals = {"Dates": date}
for label, lb in lookbacks.items():
pt_n = prices.iloc[prices.index.get_loc(date) - lb][tickers]
# Total Return Momentum
total_return = (pt - pt_n) / pt_n
# Price Minus Moving Average
sma = prices[tickers].iloc[prices.index.get_loc(date)-lb : prices.index.get_loc(date)].mean()
price_sma = (pt / sma) - 1
# Risk-Adjusted Momentum
log_returns = np.log(prices[tickers] / prices[tickers].shift(1))
log_returns_sum = log_returns.iloc[prices.index.get_loc(date)-lb : prices.index.get_loc(date)].abs().sum()
log_momentum = np.log(pt / pt_n) / np.where(log_returns_sum == 0, np.nan, log_returns_sum)
# Store results
for ticker in tickers:
signals[f'TotalReturn_{label}_{ticker}'] = total_return[ticker]
signals[f'PriceMinusSMA_{label}_{ticker}'] = price_sma[ticker]
signals[f'RiskAdjusted_{label}_{ticker}'] = log_momentum[ticker]
signals_list.append(signals)
signals_df = pd.DataFrame(signals_list)
return signals_df.set_index("Dates")
def rebalance_portfolio(prices, start_date, end_date, rebalance_frequency, initial_aum=100_000_000):
"""
Implements the momentum-based strategy with periodic rebalancing.
"""
start_date = pd.to_datetime(start_date)
end_date = pd.to_datetime(end_date)
rebalance_dates = pd.date_range(start=start_date, end=end_date, freq=f'{rebalance_frequency}M')
portfolio_history = []
current_aum = initial_aum
for rebalance_date in rebalance_dates:
rebalance_date = pd.to_datetime(rebalance_date)
# Find nearest trading day on or after rebalance_date
nearest_dates = prices.index[prices.index >= rebalance_date]
if nearest_dates.empty:
continue
rebalance_date = nearest_dates.min()
signals_df = calculate_momentum_signals(prices, rebalance_date.strftime('%m/%d/%Y'))
ranked_df = rank_momentum_signals(signals_df)
top_assets = ranked_df.iloc[-1].filter(like='Rank_').nsmallest(6).index.str.split('_').str[-1]
equal_allocation = current_aum / 6
try:
prices_on_date = prices.loc[rebalance_date, top_assets]
quantities = equal_allocation / prices_on_date
except KeyError:
continue # Skip this rebalancing if any asset price is missing
portfolio_history.append({
'Date': rebalance_date,
'AUM': current_aum,
'Top_Assets': list(top_assets),
'Quantities': list(quantities)
})
next_date = prices.index[prices.index > rebalance_date].min()
if pd.isnull(next_date):
break
current_aum = sum(quantities * prices.loc[next_date, top_assets])
return pd.DataFrame(portfolio_history)
def export_to_excel(prices, start_date, end_date, rebalance_frequency, output_file="momentum_strategy.xlsx"):
"""
Runs the backtest and exports the results to an Excel file.
"""
portfolio_df = rebalance_portfolio(prices, start_date, end_date, rebalance_frequency)
portfolio_df.to_excel(output_file, index=False)
print(f"Momentum strategy results saved to {output_file}")
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