"""XL01 — Amihud Illiquidity Premium (cross-sectional). Score = rolling mean of |ret| / (close * volume) over W days (Amihud ratio). Higher score = more illiquid. We test both signs: - Long illiquid (higher score = long): illiquidity premium hypothesis - Short illiquid (higher score = short): liquidity premium, more liquid = better Grid (<=5 calls): 1. LS W=30, all universe 2. LS W=30, majors 3. LS W=30, short sign (liquidity premium, flip sign) 4. LS W=30, H=20 (slower rebal), all universe 5. LS W=60, all universe """ import sys sys.path.insert(0, "/opt/docker/PythagorasGoal/scripts/research/xsec") import xslib as xs import numpy as np def amihud_score(close, vol, ret, W=30): """Amihud illiquidity ratio: mean(|ret| / (close * volume)) over W days. Higher = more illiquid. Values at bar i use data <= i (causal). """ # dollar volume = close * volume (notional traded) dollar_vol = close * vol # (n, A) # |return| / dollar_vol abs_ret = np.abs(ret) # (n, A) # avoid division by zero dv_safe = np.where(dollar_vol > 0, dollar_vol, np.nan) amihud_raw = abs_ret / dv_safe # (n, A) # rolling mean (causal) score = xs.roll_mean(amihud_raw, W) return score def score_illiquid(W=30): """Long illiquid (high Amihud = illiquid -> buy).""" def fn(P): return amihud_score(P.close, P.vol, P.ret, W=W) return fn def score_liquid(W=30): """Long liquid (flip sign: low Amihud = liquid -> buy).""" def fn(P): return -amihud_score(P.close, P.vol, P.ret, W=W) return fn if __name__ == "__main__": print("XL01 — Amihud Illiquidity Premium") print("="*60) # 1. Baseline: long illiquid, W=30, all universe print("\n[1] Long ILLIQUID, W=30, universe=all, H=10, k=5, LS") r1 = xs.study_xs("XL01-ILL-30-all", score_illiquid(30), universe="all", H=10, k=5, long_short=True) print(xs.fmt(r1)) print("JSON:", xs.as_json(r1)) # 2. Long illiquid, W=30, majors only print("\n[2] Long ILLIQUID, W=30, universe=majors, H=10, k=5, LS") r2 = xs.study_xs("XL01-ILL-30-maj", score_illiquid(30), universe="majors", H=10, k=5, long_short=True) print(xs.fmt(r2)) print("JSON:", xs.as_json(r2)) # 3. Long LIQUID (flip sign), W=30, all universe print("\n[3] Long LIQUID (flip sign), W=30, universe=all, H=10, k=5, LS") r3 = xs.study_xs("XL01-LIQ-30-all", score_liquid(30), universe="all", H=10, k=5, long_short=True) print(xs.fmt(r3)) print("JSON:", xs.as_json(r3)) # 4. Long illiquid, W=30, H=20 (slower rebal), all print("\n[4] Long ILLIQUID, W=30, universe=all, H=20, k=5, LS") r4 = xs.study_xs("XL01-ILL-30-H20", score_illiquid(30), universe="all", H=20, k=5, long_short=True) print(xs.fmt(r4)) print("JSON:", xs.as_json(r4)) # 5. Long illiquid, W=60, all universe print("\n[5] Long ILLIQUID, W=60, universe=all, H=10, k=5, LS") r5 = xs.study_xs("XL01-ILL-60-all", score_illiquid(60), universe="all", H=10, k=5, long_short=True) print(xs.fmt(r5)) print("JSON:", xs.as_json(r5)) # Summary results = [r1, r2, r3, r4, r5] print("\n" + "="*60) print("SUMMARY — pick best by: earns_slot > holdout > distinctness") for r in results: es = r["earns_slot"] fsh = r["full"]["sharpe"] hsh = r["holdout"].get("sharpe", 0) cxs = r["corr_xs01"] v = r["marginal"]["verdict"] print(f" {r['name']:30s} FULL={fsh:+.2f} HOLD={hsh:+.2f} corr_xs01={cxs} " f"verdict={v} earns_slot={es}") # Pick best: prefer earns_slot, then hold sharpe best = max(results, key=lambda r: ( r["earns_slot"], r["holdout"].get("sharpe", -99), r["full"]["sharpe"], )) print(f"\nBEST CONFIG: {best['name']}") print(xs.fmt(best)) print("BEST JSON:", xs.as_json(best))