"""GAMMA SCALPING (long-vol) — "scalping BTC/ETH con copertura in opzioni", valutato onestamente. Interpretazione rigorosa di "fare scalping con copertura in opzioni" = GAMMA SCALPING: compri un'opzione (la COPERTURA = long gamma), delta-hedgi il sottostante a cadenza fissa (lo SCALP), e il P&L netto e' ~ dollar-gamma * (vol realizzata^2 - vol implicita^2). E' lo SPECCHIO ESATTO del VRP01 (short-vol): VRP01 incassa IV-RV (positivo in media), il gamma scalping incassa RV-IV (negativo in media, ma CONVESSO -> paga nei crash). Modello (mirror della struttura VRP per comparabilita'): - long STRADDLE ATM, tenor settimanale (7g), strike = spot all'ingresso. - IV = DVOL Deribit (data/raw/dvol_*.parquet) — la stessa fonte IV del VRP. - delta-hedge GIORNALIERO sui prezzi certificati 1d (BTC/ETH). - P&L delta-hedged classico per step: DG_t * [(dS/S)^2 - sigma^2*dt], DG_t = dollar-gamma dello straddle = phi(d1)*S/(sigma*sqrt(tau)). - fee opzioni Deribit cap 12.5% del premio (come VRP) + fee perp sull'hedge turnover. - return-on-notional (pnl/S0), poi VOL-TARGET 20% annuo per apples-to-apples con gli altri sleeve. Varianti testate: NAKED -> sempre long gamma (baseline: deve perdere il premio in media). CHEAP-GATED -> entra solo quando IV-rank < gate (compri vol a sconto = specchio del gate VRP). RICH-SKIP -> entra sempre tranne quando IV-rank > skip (evita di pagare vol carissima). Output: metriche standalone + per-anno + SCORING MARGINALE vs TP01 (corr, blend uplift, is_hedge, has_insample_edge) + il muro di ESEGUIBILITA' a $600 (min size opzioni Deribit). uv run python scripts/research/options_gamma_scalp.py ONESTA': premio MODELLATO su DVOL ATM (skew non esplicito) — stesso caveat del VRP. Long-vol da modello: meno pericoloso dello short-vol (loss capped al premio), ma resta un LEAD da modello. """ from __future__ import annotations import sys from pathlib import Path PROJECT_ROOT = Path(__file__).resolve().parents[2] sys.path.insert(0, str(PROJECT_ROOT)) sys.path.insert(0, str(PROJECT_ROOT / "scripts" / "research" / "alt")) import numpy as np import pandas as pd from scipy.stats import norm from src.data.downloader import load_data from src.strategies.trend_portfolio import resample_1d from altlib import marginal_vs_tp01 # type: ignore RAW = PROJECT_ROOT / "data" / "raw" SQ365 = np.sqrt(365.25) DT = 1.0 / 365.25 # fee model (mirror VRP): opzioni Deribit cap 12.5% del premio; perp taker 0.05%/lato sull'hedge. OPT_FEE_FRAC = 0.125 HEDGE_FEE_SIDE = 0.0005 TENOR_D = 7 def _bs_straddle(S, K, T, sig): """Premio BS di uno straddle ATM (call+put), r=0.""" if T <= 0 or sig <= 0: return abs(S - K) d1 = (np.log(S / K) + 0.5 * sig ** 2 * T) / (sig * np.sqrt(T)) d2 = d1 - sig * np.sqrt(T) call = S * norm.cdf(d1) - K * norm.cdf(d2) put = K * norm.cdf(-d2) - S * norm.cdf(-d1) return call + put def _dvol(asset: str) -> pd.Series: dv = pd.read_parquet(RAW / f"dvol_{asset.lower()}.parquet") return pd.Series(dv["close"].values.astype(float), index=pd.to_datetime(dv["timestamp"], unit="ms", utc=True)) / 100.0 def _load(asset: str): df = resample_1d(load_data(asset, "1h")) s = pd.Series(df["close"].values.astype(float), index=pd.to_datetime(df["datetime"])) if s.index.tz is None: s.index = s.index.tz_localize("UTC") J = pd.concat({"px": s, "dvol": _dvol(asset)}, axis=1, join="inner").sort_index().dropna() return J["px"].values, J["dvol"].values / 1.0, J.index def _load_hourly(asset: str): df = load_data(asset, "1h") s = pd.Series(df["close"].values.astype(float), index=pd.to_datetime(df["timestamp"], unit="ms", utc=True)).sort_index() return s def rv_iv_diagnostic(asset: str): """Il CUORE strutturale: vol realizzata (a vari campionamenti) vs vol implicita (DVOL). Se RV < IV in media -> il long gamma PERDE gross, prima di ogni fee. E' il VRP, di segno opposto.""" px, dvf, idx = _load(asset) iv = float(np.mean(dvf)) rdaily = np.diff(np.log(px)) rv_daily = float(np.std(rdaily) * SQ365) h = _load_hourly(asset) rhour = np.diff(np.log(h.values)) rv_hour = float(np.std(rhour) * np.sqrt(365.25 * 24)) return dict(asset=asset, iv=iv, rv_daily=rv_daily, rv_hour=rv_hour, spread_daily=iv - rv_daily, spread_hour=iv - rv_hour) def gamma_scalp_hourly(asset: str, mode: str = "naked", gate_cheap: float = 0.30) -> pd.Series: """Gamma scalp a rehedge ORARIO (la 'vera' frequenza di scalping): cattura la RV intraday, ma paga 24x la fee di hedge. Tenor 7g = 168 step orari. IV costante nel giorno (DVOL).""" h = _load_hourly(asset) dv = _dvol(asset).reindex(h.index.normalize(), method="ffill") dv.index = h.index J = pd.concat({"px": h, "dvol": dv}, axis=1).dropna() px = J["px"].values; dvf = J["dvol"].values; idx = J.index n = len(px); STEPS = TENOR_D * 24; dt = 1.0 / (365.25 * 24) # IV-rank causale su DVOL giornaliero per il gate daily_iv = _dvol(asset) rets = {} i = 24 * 60 while i + STEPS < n: S0 = px[i]; sig = dvf[i]; K = S0 if mode == "cheap": day = idx[i].normalize() hist = daily_iv[daily_iv.index < day] if len(hist) >= 60 and float((hist < sig).mean()) > gate_cheap: rets[idx[i + STEPS]] = 0.0; i += STEPS; continue T = TENOR_D / 365.25 premium = _bs_straddle(S0, K, T, sig) gamma_pnl = 0.0; hedge_fee = 0.0; prev_delta = None for t in range(1, STEPS + 1): tau = max((STEPS - (t - 1)) * dt, dt) Sp = px[i + t - 1]; Sn = px[i + t] r = Sn / Sp - 1.0 d1 = (np.log(Sp / K) + 0.5 * sig ** 2 * tau) / (sig * np.sqrt(tau)) dollar_gamma = norm.pdf(d1) * Sp / (sig * np.sqrt(tau)) gamma_pnl += dollar_gamma * (r * r - sig * sig * dt) delta = 2.0 * norm.cdf(d1) - 1.0 if prev_delta is not None: hedge_fee += HEDGE_FEE_SIDE * abs(delta - prev_delta) * Sp prev_delta = delta pnl = gamma_pnl - OPT_FEE_FRAC * premium - hedge_fee rets[idx[i + STEPS]] = pnl / S0 i += STEPS out = pd.Series(rets) out.index = out.index.normalize() return out def gamma_scalp_asset(asset: str, mode: str = "naked", gate_cheap: float = 0.30, skip_rich: float = 0.90) -> pd.Series: """Rendimenti settimanali (return-on-notional) di una catena di long-straddle delta-hedged, lumpati sul giorno di scadenza. Causale: IV/strike/gate da dati <= entry; payoff sul path.""" px, dvf, idx = _load(asset) n = len(px) rets = {} i = 60 while i + TENOR_D < n: S0 = px[i]; sig = dvf[i]; K = S0 skip = False if i >= 60 and mode in ("cheap", "rich"): ivr = float((dvf[:i] < dvf[i]).mean()) # IV-rank espandente causale if mode == "cheap" and ivr > gate_cheap: # compra gamma solo se vol a SCONTO skip = True if mode == "rich" and ivr > skip_rich: # evita di pagare vol carissima skip = True if skip: rets[idx[i + TENOR_D]] = 0.0; i += TENOR_D; continue T = TENOR_D / 365.25 premium = _bs_straddle(S0, K, T, sig) gamma_pnl = 0.0; hedge_fee = 0.0; prev_delta = None for t in range(1, TENOR_D + 1): tau = (TENOR_D - (t - 1)) / 365.25 # tempo residuo a inizio step Sp = px[i + t - 1]; Sn = px[i + t] r = Sn / Sp - 1.0 d1 = (np.log(Sp / K) + 0.5 * sig ** 2 * tau) / (sig * np.sqrt(tau)) dollar_gamma = norm.pdf(d1) * Sp / (sig * np.sqrt(tau)) # DG straddle = phi(d1)*S/(sig*sqrt(tau)) gamma_pnl += dollar_gamma * (r * r - sig * sig * DT) delta = 2.0 * norm.cdf(d1) - 1.0 # delta straddle ATM if prev_delta is not None: hedge_fee += HEDGE_FEE_SIDE * abs(delta - prev_delta) * Sp prev_delta = delta opt_fee = OPT_FEE_FRAC * premium pnl = gamma_pnl - opt_fee - hedge_fee rets[idx[i + TENOR_D]] = pnl / S0 # return-on-notional i += TENOR_D return pd.Series(rets) def to_daily_voltgt(weekly_btc: pd.Series, weekly_eth: pd.Series, tgt_vol: float = 0.20) -> pd.Series: """Book 50/50 BTC+ETH su griglia giornaliera, poi scalato a tgt_vol annuo (apples-to-apples con gli altri sleeve, tutti vol-targeted ~20%).""" wk = pd.concat({"B": weekly_btc, "E": weekly_eth}, axis=1, join="inner").mean(axis=1).sort_index() if wk.empty: return wk days = pd.date_range(wk.index.min().normalize(), wk.index.max().normalize(), freq="1D", tz="UTC") daily = pd.Series(0.0, index=days) daily.loc[wk.index.normalize()] = wk.values sd = daily.std() if sd > 0: daily = daily * (tgt_vol / (sd * SQ365)) return daily def _metrics(daily: pd.Series) -> dict: r = daily.values sh = float(np.mean(r) / np.std(r) * SQ365) if np.std(r) > 0 else 0.0 eq = np.cumprod(1.0 + np.clip(r, -0.99, None)) pk = np.maximum.accumulate(eq) dd = float(np.max((pk - eq) / pk)) yrs = (daily.index[-1] - daily.index[0]).days / 365.25 cagr = eq[-1] ** (1 / yrs) - 1 if yrs > 0 and eq[-1] > 0 else -1.0 s = pd.Series(eq, index=daily.index) yearly = {} for y, g in s.groupby(s.index.year): if len(g) > 1: v = g.values; p = np.maximum.accumulate(v) yearly[int(y)] = (float(g.iloc[-1] / g.iloc[0] - 1), float(np.max((p - v) / p))) return dict(sharpe=sh, dd=dd, cagr=cagr, yearly=yearly) def main(): print("=" * 92) print(" GAMMA SCALPING (long-vol) — scalping BTC/ETH con copertura in opzioni") print(" Modello: long straddle ATM 7g, delta-hedge 1d, P&L = DG*(RV^2 - IV^2). Mirror del VRP01.") print("=" * 92) print("\n DIAGNOSTICA STRUTTURALE — vol implicita (DVOL) vs realizzata (il segno dell'edge):") for a in ("BTC", "ETH"): d = rv_iv_diagnostic(a) print(f" {a}: IV {d['iv']*100:5.1f}% | RV_1d {d['rv_daily']*100:5.1f}% " f"(IV-RV {d['spread_daily']*100:+.1f}pp) RV_1h {d['rv_hour']*100:5.1f}% " f"(IV-RV {d['spread_hour']*100:+.1f}pp)") print(" -> IV-RV > 0 = il mercato PAGA per essere short-vol (VRP). Il long gamma e' su questo lato" ", al ROVESCIO: paga il premio. RV_1h>RV_1d -> rehedge orario cattura piu' RV (test sotto).") variants = { "NAKED (sempre long gamma)": dict(mode="naked"), "CHEAP-GATED (IV-rank<0.30 = vol scont)": dict(mode="cheap", gate_cheap=0.30), "CHEAP-GATED (IV-rank<0.50)": dict(mode="cheap", gate_cheap=0.50), "RICH-SKIP (no entry se IV-rank>0.90)": dict(mode="rich", skip_rich=0.90), } series = {} for label, kw in variants.items(): wB = gamma_scalp_asset("BTC", **kw) wE = gamma_scalp_asset("ETH", **kw) daily = to_daily_voltgt(wB, wE) series[label] = daily m = _metrics(daily) ntr = int((wB != 0).sum() + (wE != 0).sum()) print(f"\n--- {label} ---") print(f" standalone (vol-tgt 20%): Sharpe {m['sharpe']:+.2f} CAGR {m['cagr']*100:+.1f}% " f"maxDD {m['dd']*100:.1f}% trade {ntr}") ys = " ".join(f"{y}:{p*100:+.0f}%" for y, (p, d) in sorted(m['yearly'].items())) print(f" per-anno PnL: {ys}") print("\n" + "=" * 92) print(" REHEDGE ORARIO (la 'vera' frequenza di scalping: cattura RV intraday, paga 24x hedge fee)") print("=" * 92) for label, kw in (("NAKED orario", dict(mode="naked")), ("CHEAP-GATED orario (IV-rank<0.30)", dict(mode="cheap", gate_cheap=0.30))): wB = gamma_scalp_hourly("BTC", **kw); wE = gamma_scalp_hourly("ETH", **kw) daily = to_daily_voltgt(wB, wE) m = _metrics(daily) ys = " ".join(f"{y}:{p*100:+.0f}%" for y, (p, d) in sorted(m['yearly'].items())) print(f"\n--- {label} ---") print(f" Sharpe {m['sharpe']:+.2f} CAGR {m['cagr']*100:+.1f}% maxDD {m['dd']*100:.1f}%") print(f" per-anno PnL: {ys}") print("\n" + "=" * 92) print(" SCORING MARGINALE vs TP01 (lo standard del progetto: un nuovo sleeve si giudica QUI)") print("=" * 92) for label, daily in series.items(): if daily.std() == 0: print(f"\n[{label}] flat — skip"); continue m = marginal_vs_tp01(daily) b25 = m.get("blends", {}).get("w25", {}) print(f"\n[{label}]") print(f" verdict={m.get('marginal_verdict')} corr->TP01 full={m.get('corr_full')} " f"hold={m.get('corr_hold')} is_hedge={m.get('is_hedge')} " f"has_insample_edge={m.get('has_insample_edge')} (cand IS Sharpe {m.get('cand_insample_sharpe')})") print(f" cand Sharpe full={m.get('cand_full_sharpe')} hold={m.get('cand_hold_sharpe')} | " f"blend25 full {b25.get('full')} (upl {b25.get('uplift_full')}) " f"hold {b25.get('hold')} (upl {b25.get('uplift_hold')}) DD {b25.get('dd')}") print(f" hedge-check: uplift TP01-up {m.get('uplift_tp01_up')} / TP01-down {m.get('uplift_tp01_down')} " f"yearly-corr {m.get('hedge_yearly_corr')}") print("\n" + "=" * 92) print(" ESEGUIBILITA' a ~$600 (Deribit options min size)") print("=" * 92) pxB = _load("BTC")[0][-1]; pxE = _load("ETH")[0][-1] for a, p, csz, minc in (("BTC", pxB, 1.0, 0.1), ("ETH", pxE, 1.0, 0.1)): notion = p * csz * minc print(f" {a}: spot ${p:,.0f} | contratto {csz} {a}, min {minc} {a} -> notional minimo " f"${notion:,.0f} ({'OK' if notion < 600 else 'OLTRE i $600 -> NON eseguibile'})") if __name__ == "__main__": main()