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import pandas as pd |
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import numpy as np |
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import itertools |
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import logging |
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from utils import cluster_universe, rolling_cointegration_test, half_life |
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logger = logging.getLogger(__name__) |
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class PairSelector: |
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""" |
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From a universe of assets, cluster similar ones, then within each cluster |
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run rolling cointegration tests. For stable pairs, compute static hedge ratio |
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via OLS and half‐life of the spread. |
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""" |
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def __init__( |
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self, |
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prices: pd.DataFrame, |
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cluster_size: int = 20, |
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coint_pval_threshold: float = 0.05, |
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rolling_window: int = 252, |
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rolling_step: int = 63, |
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min_valid_periods: int = 2 |
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): |
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""" |
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:param prices: DataFrame of asset prices (aligned), columns = tickers. |
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""" |
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self.prices = prices |
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self.returns = prices.pct_change().dropna() |
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self.cluster_size = cluster_size |
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self.pval_threshold = coint_pval_threshold |
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self.rolling_window = rolling_window |
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self.rolling_step = rolling_step |
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self.min_valid_periods = min_valid_periods |
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def select_pairs(self) -> pd.DataFrame: |
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""" |
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Returns a DataFrame with columns: [ticker1, ticker2, beta_ols, half_life_days]. |
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Only includes pairs that pass the rolling cointegration test. |
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""" |
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clusters = cluster_universe(self.returns, self.cluster_size) |
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selected = [] |
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for cluster_id, tickers in clusters.items(): |
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if len(tickers) < 2: |
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continue |
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logger.info(f"Testing cluster {cluster_id} with {len(tickers)} tickers.") |
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for t1, t2 in itertools.combinations(tickers, 2): |
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s1 = self.prices[t1] |
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s2 = self.prices[t2] |
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try: |
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is_coint = rolling_cointegration_test( |
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s1, s2, |
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window=self.rolling_window, |
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step=self.rolling_step, |
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pval_threshold=self.pval_threshold, |
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min_valid_periods=self.min_valid_periods |
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) |
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except Exception as e: |
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logger.warning(f"Cointegration test failed for {t1}-{t2}: {e}") |
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continue |
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if not is_coint: |
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continue |
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X = np.vstack([np.ones(len(s2)), s2.values]).T |
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y = s1.values |
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ols_beta = np.linalg.lstsq(X, y, rcond=None)[0][1] |
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spread = s1 - ols_beta * s2 |
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hl = half_life(spread) |
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if np.isfinite(hl) and hl > 0 and hl < self.rolling_window: |
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selected.append({ |
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"ticker1": t1, |
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"ticker2": t2, |
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"beta_ols": ols_beta, |
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"half_life": hl |
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}) |
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logger.info(f"Selected pair {t1}-{t2}: beta={ols_beta:.4f}, half-life={hl:.1f} days.") |
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if not selected: |
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logger.warning("No cointegrated pairs found in the universe.") |
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return pd.DataFrame(columns=["ticker1", "ticker2", "beta_ols", "half_life"]) |
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return pd.DataFrame(selected) |
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