"""EQ-MOM01 — Momentum cross-sectional settoriale (SPDR), backtest onesto. Prima ricerca del fronte equity (branch research/equities-ib). L'edge "noioso e robusto" piu' plausibile in un mercato efficiente: ruotare nei settori a momentum forte. Domanda chiave (come nel crypto col soffitto TP01): NON "fa soldi?" (un long-only equity cavalca il toro) ma **batte/ADDS a SPY buy&hold?** — il baseline vero in equity. Anche vs equal-weight 9 settori (isola il timing del momentum dal tilt equal-weight). DATI: cache su disco eq_*.parquet (ADJUSTED div+split), via eqlib (nessun IB). 9 settori CLASSICI dal 1998 (27.5y) per il backtest lungo; 11 settori (2018+) come robustezza. COSTRUZIONE (causale): ogni REB giorni, momentum = blend di lookback [63,126,252]g con SKIP recente (12-1 classico), z-score cross-sectional mediato. long-only: full-invested nei top-k (confronto like-for-like con SPY). long-short: dollar-neutral top-k vs bottom-k. Posizione decisa a <= i-1, tenuta da i (W[:-1]*dret[1:]). Netto fee sul turnover. Opz. vol-target. GIUDIZIO: standalone (FULL / pre-2015 / hold-out 2015+ / per-anno, CAGR, Sharpe, maxDD) vs SPY e EW-settori; marginale vs SPY (corr, uplift blend full+hold, edge in-sample, persistenza multi-cut); plateau su lookback/k/reb/skip; sweep fee. """ import sys from pathlib import Path import numpy as np, pandas as pd ROOT = Path(__file__).resolve().parents[2] sys.path.insert(0, str(ROOT / "scripts" / "research")) import eqlib from eqlib import panel, load_eq, SECTORS_CLASSIC, SECTORS ANN = np.sqrt(252.0) EQ_HOLDOUT = pd.Timestamp("2015-01-01", tz="UTC") # OOS lungo: ultimi ~11 anni (post-GFC, dove il momentum e' decaduto) def _sh(r): r = np.asarray(pd.Series(r).dropna(), float) return float(np.mean(r) / np.std(r) * ANN) if len(r) > 2 and np.std(r) > 0 else 0.0 def _cagr(r, idx): r = np.asarray(r, float); yrs = (idx[-1] - idx[0]).days / 365.25 return float(np.prod(1 + r) ** (1 / yrs) - 1) if yrs > 0 else 0.0 def _dd(r): eq = np.cumprod(1 + np.asarray(r, float)); pk = np.maximum.accumulate(eq) return float(np.max((pk - eq) / pk)) if len(eq) else 0.0 def momentum(universe=tuple(SECTORS_CLASSIC), lookbacks=(63, 126, 252), k=3, reb=21, skip=21, mode="long", target_vol=None, fee_side=0.0002): """Serie netta daily del book momentum settoriale. mode='long' (top-k full-invested) o 'ls' (dollar-neutral top-k vs bottom-k).""" P = panel(universe, how="inner") idx = P.index; px = P.values; n, A = px.shape dret = np.vstack([np.zeros(A), px[1:] / px[:-1] - 1.0]) mlb = max(lookbacks) + skip W = np.zeros((n, A)); w = np.zeros(A) for i in range(n): if i >= mlb and i % reb == 0: score = np.zeros(A); cnt = 0 for Lb in lookbacks: a, b = i - skip - Lb, i - skip rL = px[b] / px[a] - 1.0 sd = rL.std() if sd > 0: score += (rL - rL.mean()) / sd; cnt += 1 if cnt: score /= cnt order = np.argsort(score) w = np.zeros(A) if mode == "long": w[order[-k:]] = 1.0 / k # full-invested nei top-k else: w[order[-k:]] = 0.5 / k; w[order[:k]] = -0.5 / k W[i] = w gross = np.zeros(n); gross[1:] = np.sum(W[:-1] * dret[1:], axis=1) turn = np.zeros(n); turn[0] = np.abs(W[0]).sum(); turn[1:] = np.abs(np.diff(W, axis=0)).sum(axis=1) net = gross - turn * fee_side s = pd.Series(net, index=idx) if target_vol: rv = s.rolling(63, min_periods=20).std().shift(1) * ANN scale = np.clip(np.nan_to_num(target_vol / rv.replace(0, np.nan).values, nan=0.0), 0, 3.0) s = pd.Series(s.values * scale, index=idx) return s def spy_bh(): d = load_eq("SPY")["close"].astype(float) return pd.Series(d.values[1:] / d.values[:-1] - 1.0, index=d.index[1:]) def ew_sectors_bh(universe=tuple(SECTORS_CLASSIC)): P = panel(universe, how="inner"); dret = P.pct_change().dropna() return dret.mean(axis=1) def _line(name, r, idx=None, bench=None): idx = idx if idx is not None else r.index r = r.reindex(idx).fillna(0.0) if hasattr(r, "reindex") else pd.Series(r, index=idx) h = r[r.index >= EQ_HOLDOUT]; isamp = r[r.index < EQ_HOLDOUT] extra = "" if bench is not None: J = pd.concat({"r": r, "b": bench}, axis=1, join="inner").dropna() extra = f" corr_SPY {J['r'].corr(J['b']):+.2f}" print(f" {name:26} CAGR {_cagr(r.values, r.index)*100:>5.1f}% Sh {_sh(r):>5.2f} " f"(pre15 {_sh(isamp):>5.2f} | OOS15+ {_sh(h):>5.2f}) maxDD {_dd(r.values)*100:>4.0f}%{extra}") def main(): print("=" * 100) print(" EQ-MOM01 — Momentum cross-sectional settoriale (9 SPDR classici, 1998+)") print("=" * 100) spy = spy_bh(); ew = ew_sectors_bh() base = momentum() # long, lb[63,126,252], k=3, reb21, skip21 common = base.index print(f" periodo {common[0].date()}..{common[-1].date()} ({len(common)}g) hold-out OOS = {EQ_HOLDOUT.date()}+\n") print(" --- BASELINE da battere ---") _line("SPY buy&hold", spy, common) _line("EW 9 settori buy&hold", ew, common, bench=spy) print("\n --- EQ-MOM01 ---") _line("MOM long top-3", base, common, bench=spy) _line("MOM long top-3 vt15%", momentum(target_vol=0.15), common, bench=spy) _line("MOM long-short top-3", momentum(mode="ls"), common, bench=spy) # MARGINALE vs SPY (il test che conta in equity) print("\n --- MARGINALE vs SPY buy&hold (aggiunge al baseline?) ---") J = pd.concat({"spy": spy, "c": base}, axis=1, join="inner").dropna() JH = J[J.index >= EQ_HOLDOUT] print(f" corr(MOM,SPY) full {J['spy'].corr(J['c']):+.3f} | OOS {JH['spy'].corr(JH['c']):+.3f}") for wt in (0.25, 0.5): bf = _sh((1-wt)*J["spy"]+wt*J["c"]) - _sh(J["spy"]) bh = _sh((1-wt)*JH["spy"]+wt*JH["c"]) - _sh(JH["spy"]) print(f" blend {int((1-wt)*100)}/{int(wt*100)} SPY/MOM: uplift Sharpe FULL {bf:+.3f} OOS {bh:+.3f}") # per-decade (multi-cut onesto) print(" Sharpe MOM per blocco: ", {f"{y}s": round(_sh(base[(base.index.year>=y)&(base.index.year6} {'pre15':>6} {'OOS':>6} {'CAGR%':>6} {'DD%':>5}") for lbs in [(126,), (63,126,252), (252,)]: for k in (2, 3, 4): for reb in (21,): s = momentum(lookbacks=lbs, k=k, reb=reb) tag = f"lb{'-'.join(map(str,lbs))} k{k}" h=s[s.index>=EQ_HOLDOUT]; ii=s[s.index6.2f} {_sh(ii):>6.2f} {_sh(h):>6.2f} {_cagr(s.values,s.index)*100:>6.1f} {_dd(s.values)*100:>5.0f}") # sweep fee + robustezza 11 settori (2018+) print("\n --- ROBUSTEZZA ---") for fee in (0.0, 0.0002, 0.0005, 0.001): s = momentum(fee_side=fee); print(f" fee {fee*100:.2f}%/lato: Sh FULL {_sh(s):.2f} OOS {_sh(s[s.index>=EQ_HOLDOUT]):.2f}") s11 = momentum(universe=tuple(SECTORS)); spy11 = spy.reindex(s11.index) print(f" 11 settori (2018+): MOM Sh {_sh(s11):.2f} vs SPY {_sh(spy11):.2f} (periodo {s11.index[0].date()}+)") if __name__ == "__main__": main()