From c646e80e35194760aeb091d527222b26b92337f5 Mon Sep 17 00:00:00 2001 From: Claude Date: Thu, 1 Oct 2026 05:21:59 +0000 Subject: [PATCH] feat: Vol Forecast & Regime engine (HAR-RV, GJR-GARCH, gradient boosting, HMM) - core/vol_forecast.py: forecasts average variance over the next 1D/1W/1M with HAR-RV (weekend dummy for 24/7 crypto), GJR-GARCH(1,1) QMLE with a vectorised filter, HistGradientBoosting on HAR/return/calendar features, and EWMA as benchmark. Garman-Klass + overnight-gap proxy scaled to close-to-close on pre-backtest data only. - Rolling out-of-sample backtest (refit every 21 days, no look-ahead), QLIKE / RMSE / bias per model (Patton 2011), inverse-QLIKE ensemble. - 2-state Gaussian HMM (Baum-Welch) regime probabilities and durations. - For BTC/ETH: ensemble forecast vs Deribit ATM implied -> rich/cheap view. - GET /api/vol/forecast/{pair} (cached 30 min; 503 when history is short or sources are down); scikit-learn added (models degrade gracefully without it). - Vol Forecast tab: KPIs, forecast term structure vs implied, HMM regime history, OOS backtest vs realised (+DVOL), model leaderboard per horizon. - 7 new tests on simulations with known answers (proxy bias, GARCH and HMM parameter recovery, weekend effect, look-ahead check, endpoint). Co-Authored-By: Claude Opus 5.5 Claude-Session: https://claude.ai/code/session_01FpiqUMAyo4RL5DdQHMWbwE --- README.md | 1 + backend/app/core/vol_forecast.py | 437 ++++++++++++++++++++++++ backend/app/routers/vol.py | 78 +++++ backend/requirements.txt | 1 + backend/tests/test_vol_forecast.py | 123 +++++++ backend/tests/vol_sim.py | 41 +++ frontend/src/api/client.js | 1 + frontend/src/components/VolForecast.jsx | 250 ++++++++++++++ frontend/src/pages/Dashboard.jsx | 2 + screenshots/vol-forecast-btc.png | Bin 0 -> 516278 bytes screenshots/vol-forecast-xag.png | Bin 0 -> 199619 bytes 11 files changed, 934 insertions(+) create mode 100644 backend/app/core/vol_forecast.py create mode 100644 backend/tests/test_vol_forecast.py create mode 100644 backend/tests/vol_sim.py create mode 100644 frontend/src/components/VolForecast.jsx create mode 100644 screenshots/vol-forecast-btc.png create mode 100644 screenshots/vol-forecast-xag.png diff --git a/README.md b/README.md index 693390b..62301e6 100644 --- a/README.md +++ b/README.md @@ -39,6 +39,7 @@ NEXUS TERMINAL is a Bloomberg-style web application for professional forex optio | **Strategy Library** | Pre-built multi-leg strategies: straddle, strangle, bull/bear spreads, iron condor, butterfly | | **Vol Smile (Vanna-Volga)** | Builds the FX smile from ATM / 25Δ risk reversal / 25Δ butterfly quotes (Castagna-Mercurio) and reprices each leg off the smile vs flat vol | | **Vol Lab** | Live Deribit BTC/ETH surface with a raw-SVI fit per expiry (Durrleman butterfly-arb check), ATM / 25Δ RR / 25Δ BF term structure, DVOL, vol risk premium, and a Burghardt-Lane realised-vol cone for every pair. Tests: `cd backend && python -m pytest tests` | +| **Vol Forecast & Regime (AI)** | HAR-RV (weekend-aware for crypto), GJR-GARCH and gradient-boosting forecasts of 1D/1W/1M vol, rolling out-of-sample QLIKE leaderboard with an inverse-QLIKE ensemble, 2-state HMM regime detection, and a forecast-vs-Deribit-implied rich/cheap signal | ### Live Intelligence diff --git a/backend/app/core/vol_forecast.py b/backend/app/core/vol_forecast.py new file mode 100644 index 0000000..407c81e --- /dev/null +++ b/backend/app/core/vol_forecast.py @@ -0,0 +1,437 @@ +""" +vol_forecast.py — Volatility forecasting & regime engine for volatile assets. + +Forecasts the average variance over the next h days (1D, 1W, 1M) with four +models, scores them on a rolling out-of-sample backtest and blends them: + + 1. HAR-RV (Corsi 2009): heterogeneous autoregression of log realised variance + log RV(t+1..t+h) = b0 + b_d·log RV_d + b_w·log RV_w + b_m·log RV_m [+ b_we·weekend] + with a weekend dummy for 24/7 crypto (intraweek seasonality, cf. Brauneis et al.). + 2. GJR-GARCH(1,1) (Glosten, Jagannathan & Runkle 1993), Gaussian QMLE: + σ²_t = ω + (α + γ·1[r_{t−1}<0])·r²_{t−1} + β·σ²_{t−1} + with the closed-form multi-step variance term structure. + 3. Gradient boosting (scikit-learn HistGradientBoostingRegressor) on HAR features + plus returns, ranges and calendar features — the ML benchmark of the + recent realised-vol literature. + 4. EWMA RiskMetrics (λ = 0.94) — naive benchmark. + + Daily variance proxy: Garman-Klass (1980) range estimator plus the squared + overnight gap, falling back to squared close-to-close returns without OHLC. + Discretely sampled highs/lows bias range estimators down, so the proxy is + rescaled to the mean squared close-to-close return (Hansen & Lunde 2005 style) + — forecasts are then on the same scale as close-to-close and implied vol. + + Evaluation: QLIKE and MSE are the loss functions whose rankings are robust to + noise in the variance proxy (Patton 2011): + QLIKE(y, f) = y/f − ln(y/f) − 1 + The ensemble weights each model by inverse out-of-sample QLIKE. + + Regimes: 2-state Gaussian hidden Markov model on daily returns (Hamilton 1989), + fitted by Baum-Welch EM with scaled forward-backward recursions. + +References: + Corsi, F. (2009). J. Financial Econometrics, 7(2), 174–196. + Glosten, L., Jagannathan, R. & Runkle, D. (1993). J. Finance, 48(5), 1779–1801. + Garman, M. & Klass, M. (1980). J. Business, 53(1), 67–78. + Patton, A. (2011). J. Econometrics, 160(1), 246–256. + Hamilton, J. (1989). Econometrica, 57(2), 357–384. + Brauneis, A., Mestel, R. et al. (2024). Crypto volatility forecasting. +""" + +import warnings + +import numpy as np +from scipy.optimize import minimize +from scipy.signal import lfilter + +try: + from sklearn.ensemble import HistGradientBoostingRegressor + SKLEARN_AVAILABLE = True +except ImportError: # the engine still runs with the econometric models + SKLEARN_AVAILABLE = False + +MODELS = ["HAR-RV", "GJR-GARCH", "Gradient Boosting", "EWMA"] + + +# ─── variance proxy & features ──────────────────────────────────────────────── + +def daily_variance(o, h, l, c, calib_end=None): + """Garman-Klass daily variance + squared overnight gap (fallback: r²), scaled so + its mean matches the mean squared close-to-close return over [0, calib_end).""" + c = np.asarray(c, dtype=float) + r = np.diff(np.log(c)) + if o is None or h is None or l is None: + return np.maximum(r ** 2, 1e-12), r + o, h, l = (np.asarray(x, dtype=float)[1:] for x in (o, h, l)) + cc = c[1:] + gk = 0.5 * np.log(h / l) ** 2 - (2 * np.log(2) - 1) * np.log(cc / o) ** 2 + gap = np.log(o / c[:-1]) ** 2 + v = np.maximum(gk, 0) + gap + bad = ~np.isfinite(v) | (v <= 0) + v[bad] = r[bad] ** 2 + k = slice(0, calib_end) # calibrate on in-sample data only + v *= np.mean(r[k] ** 2) / np.mean(v[k]) # scale to close-to-close variance + return np.maximum(v, 1e-12), r + + +def _rolling_mean(x, w): + cs = np.concatenate([[0.0], np.cumsum(x)]) + out = np.full(len(x), np.nan) + out[w - 1:] = (cs[w:] - cs[:-w]) / w + return out + + +def _forward_mean(x, h): + """Mean of x[t+1 .. t+h] aligned at t (NaN where unavailable).""" + cs = np.concatenate([[0.0], np.cumsum(x)]) + out = np.full(len(x), np.nan) + n = len(x) + idx = np.arange(n - h) + out[idx] = (cs[idx + 1 + h] - cs[idx + 1]) / h + return out + + +def build_features(v, r, ppy, weekday=None): + """HAR + ML feature matrix aligned at each day t (information up to t).""" + w_w = max(2, round(7 * ppy / 365)) + w_m = max(5, round(30 * ppy / 365)) + lv = np.log(v) + rv_w, rv_m = _rolling_mean(v, w_w), _rolling_mean(v, w_m) + har = np.column_stack([lv, np.log(rv_w), np.log(rv_m)]) + extra = np.column_stack([ + r, np.abs(r), np.minimum(r, 0) ** 2 / v.mean(), + np.log(rv_w) - np.log(rv_m), + _rolling_mean(r, w_m) * np.sqrt(w_m) / np.sqrt(np.maximum(rv_m, 1e-12)), + ]) + cal = None + if weekday is not None: + nxt = (np.asarray(weekday) + 1) % 7 # weekday of t+1 + cal = (nxt >= 5).astype(float)[:, None] # next day is Sat/Sun + return har, extra, cal, w_w, w_m + + +# ─── models ─────────────────────────────────────────────────────────────────── + +def _ols(X, y): + X1 = np.column_stack([np.ones(len(X)), X]) + beta, *_ = np.linalg.lstsq(X1, y, rcond=None) + resid = y - X1 @ beta + return beta, float(np.var(resid)) + + +class HAR: + def __init__(self, use_weekend): + self.use_weekend = use_weekend + + def _X(self, har, cal, h): + if self.use_weekend and cal is not None and h == 1: + return np.column_stack([har, cal]) + return har + + def fit(self, har, cal, y, h): + self.h = h + self.beta, self.s2 = _ols(self._X(har, cal, h), np.log(y)) + return self + + def predict(self, har, cal): + X = self._X(har, cal, self.h) + # log-normal bias correction: E[RV] = exp(μ + s²/2) + return np.exp(self.beta[0] + X @ self.beta[1:] + 0.5 * self.s2) + + +class GBM: + def fit(self, X, y): + self.m = HistGradientBoostingRegressor(max_iter=150, learning_rate=0.05, max_depth=3, + min_samples_leaf=25, l2_regularization=1.0, + random_state=0) + ly = np.log(y) + self.m.fit(X, ly) + self.s2 = float(np.var(ly - self.m.predict(X))) + return self + + def predict(self, X): + return np.exp(self.m.predict(X) + 0.5 * self.s2) + + +def _gjr_filter(params, r, var0): + """σ²[0] = var0, σ²[t+1] = ω + (α + γ·1[r_t<0])·r_t² + β·σ²[t] (vectorised AR(1) filter).""" + omega, alpha, gamma, beta = params + r = np.asarray(r, dtype=float) + x = omega + (alpha + gamma * (r < 0)) * r ** 2 + tail = lfilter([1.0], [1.0, -beta], x, zi=[beta * var0])[0] if len(r) else np.array([]) + return np.concatenate([[var0], tail]) + + +def fit_gjr_garch(r): + """Gaussian QMLE of GJR-GARCH(1,1) on demeaned returns. Returns params + filtered σ².""" + r = np.asarray(r, dtype=float) - np.mean(r) + var0 = float(np.var(r)) + + def unpack(x): + # positivity + stationarity via smooth transforms + a, g, b = np.exp(x[1:4]) + tot = a + 0.5 * g + b + scale = 0.999 / tot if tot >= 0.999 else 1.0 + a, g, b = a * scale, g * scale, b * scale + omega = var0 * (1 - a - 0.5 * g - b) * np.exp(x[0]) + return omega, a, g, b + + def nll(x): + p = unpack(x) + s2 = _gjr_filter(p, r, var0)[:-1] + s2 = np.maximum(s2, 1e-14) + return 0.5 * np.sum(np.log(s2) + r ** 2 / s2) + + best = None + for x0 in ([0.0, np.log(0.05), np.log(0.05), np.log(0.85)], + [0.0, np.log(0.10), np.log(0.01), np.log(0.80)]): + res = minimize(nll, x0, method="L-BFGS-B") + if best is None or res.fun < best.fun: + best = res + params = unpack(best.x) + return params, _gjr_filter(params, r, var0), var0 + + +def gjr_avg_variance(params, s2_next, h): + """Average conditional variance over the next h days (closed form).""" + omega, a, g, b = params + persist = a + 0.5 * g + b + vl = omega / max(1 - persist, 1e-9) + k = np.arange(h) + return float(np.mean(vl + persist ** k * (s2_next - vl))) + + +# ─── 2-state Gaussian HMM ───────────────────────────────────────────────────── + +def fit_hmm(r, n_iter=200, tol=1e-7): + """Baum-Welch EM for a 2-state Gaussian HMM. State 1 = high-vol regime.""" + x = np.asarray(r, dtype=float) + n = len(x) + q = np.quantile(np.abs(x), 0.75) + calm = np.abs(x) <= q + mu = np.array([x[calm].mean(), x[~calm].mean()]) + sd = np.array([x[calm].std() + 1e-9, x[~calm].std() + 1e-9]) + A = np.array([[0.97, 0.03], [0.06, 0.94]]) + pi = np.array([0.7, 0.3]) + ll_old = -np.inf + for _ in range(n_iter): + B = np.exp(-0.5 * ((x[:, None] - mu) / sd) ** 2) / (sd * np.sqrt(2 * np.pi)) + 1e-300 + alpha = np.empty((n, 2)); c = np.empty(n) + alpha[0] = pi * B[0]; c[0] = alpha[0].sum(); alpha[0] /= c[0] + for t in range(1, n): + alpha[t] = (alpha[t - 1] @ A) * B[t] + c[t] = alpha[t].sum(); alpha[t] /= c[t] + beta = np.ones((n, 2)) + for t in range(n - 2, -1, -1): + beta[t] = (A @ (B[t + 1] * beta[t + 1])) / c[t + 1] + gamma = alpha * beta + gamma /= gamma.sum(axis=1, keepdims=True) + xi = (alpha[:-1, :, None] * A[None] * (B[1:] * beta[1:])[:, None, :]) / c[1:, None, None] + pi = gamma[0] + A = xi.sum(0) / gamma[:-1].sum(0)[:, None] + A /= A.sum(1, keepdims=True) + w = gamma.sum(0) + mu = (gamma * x[:, None]).sum(0) / w + sd = np.sqrt((gamma * (x[:, None] - mu) ** 2).sum(0) / w) + 1e-9 + ll = float(np.log(c).sum()) + if abs(ll - ll_old) < tol * abs(ll): + break + ll_old = ll + if sd[0] > sd[1]: # order states: 0 = calm, 1 = turbulent + order = [1, 0] + mu, sd, A = mu[order], sd[order], A[np.ix_(order, order)] + alpha, gamma = alpha[:, order], gamma[:, order] + return {"mu": mu, "sd": sd, "A": A, "filtered": alpha, "smoothed": gamma, "loglik": ll} + + +# ─── backtest & report ──────────────────────────────────────────────────────── + +def qlike(y, f): + ratio = np.asarray(y) / np.asarray(f) + return float(np.mean(ratio - np.log(ratio) - 1)) + + +def ewma_series(r, lam=0.94): + """EWMA variance after observing r[0..t], for every t (RiskMetrics).""" + r = np.asarray(r, dtype=float) + s0 = float(np.var(r[:30])) if len(r) >= 30 else float(np.var(r)) + return lfilter([1 - lam], [1.0, -lam], r ** 2, zi=[lam * s0])[0] + + +def _garch_state(r, last, cache): + """GJR-GARCH fitted on r[..last], filter rolled forward without re-estimation, so + s2_full[t+1] uses returns up to t only. Cached: one fit serves every horizon.""" + if last not in cache: + params, s2, _ = fit_gjr_garch(r[: last + 1]) + rr = r - np.mean(r[: last + 1]) + s2_full = np.empty(len(r) + 1) + s2_full[: last + 2] = s2 + s2_full[last + 1:] = _gjr_filter(params, rr[last + 1:], s2[-1]) + cache[last] = (params, s2_full) + return cache[last] + + +def _model_forecasts(fit_idx, pred_idx, h, v, r, har, X_ml, cal, use_weekend, + ewma, garch_cache, garch_last): + """Fit every model on targets known at fit_idx; forecast at pred_idx.""" + y = _forward_mean(v, h) + train = fit_idx[np.isfinite(y[fit_idx]) & np.all(np.isfinite(X_ml[fit_idx]), axis=1)] + out = {} + har_m = HAR(use_weekend).fit(har[train], None if cal is None else cal[train], y[train], h) + out["HAR-RV"] = har_m.predict(har[pred_idx], None if cal is None else cal[pred_idx]) + if SKLEARN_AVAILABLE: + with warnings.catch_warnings(): + warnings.simplefilter("ignore") + out["Gradient Boosting"] = GBM().fit(X_ml[train], y[train]).predict(X_ml[pred_idx]) + params, s2_full = _garch_state(r, garch_last, garch_cache) + out["GJR-GARCH"] = np.array([gjr_avg_variance(params, s2_full[t + 1], h) for t in pred_idx]) + out["EWMA"] = ewma[pred_idx] + return out, params + + +def forecast_report(o, h, l, c, dates=None, ppy=252, n_test=250, refit_every=21, + implied=None): + """ + Full report: current forecasts per model and horizon, out-of-sample scores, + ensemble, backtest series, HMM regime and (optionally) comparison to implied vols. + implied: {"1W": σ, "1M": σ} annualised implied vols (e.g. Deribit ATM). + """ + n_ret = len(c) - 1 + w_m_est = max(5, round(30 * ppy / 365)) + n_test_est = int(min(n_test, max(60, n_ret - (w_m_est + 5) - 250))) + # Calibrate the proxy scale on data before the first backtest origin (no look-ahead). + v, r = daily_variance(o, h, l, c, calib_end=n_ret - w_m_est - n_test_est) + weekday = None + if dates is not None and ppy == 365: + weekday = np.array([d.weekday() for d in dates[1:]]) + har, extra, cal, w_w, w_m = build_features(v, r, ppy, weekday) + X_ml = np.column_stack([har, extra] + ([cal] if cal is not None else [])) + n = len(v) + first_valid = w_m + 5 + horizons = [("1D", 1), ("1W", w_w), ("1M", w_m)] + n_test = int(min(n_test, max(60, n - first_valid - 250))) + if n - first_valid < 300: + raise ValueError("need at least ~300 days of history for a fair backtest") + use_weekend = cal is not None + + ewma = ewma_series(r) + garch_cache = {} + max_h = w_m + start = n - max_h - n_test # common origins for every horizon + scores, backtest, current = {}, {}, {} + for label, hz in horizons: + y = _forward_mean(v, hz) + preds = {m: [] for m in MODELS if m != "Gradient Boosting" or SKLEARN_AVAILABLE} + origins = [] + for blk in range(start, n - max_h, refit_every): + pred_idx = np.arange(blk, min(blk + refit_every, n - max_h)) + # Only targets fully realised by the block start may be used for fitting; + # GARCH (no target) is estimated on returns up to the block start. + fit_idx = np.arange(first_valid, blk - hz + 1) + f, _ = _model_forecasts(fit_idx, pred_idx, hz, v, r, har, X_ml, cal, use_weekend, + ewma, garch_cache, blk) + for m in preds: + preds[m].extend(f[m]) + origins.extend(pred_idx) + origins = np.array(origins) + realised = y[origins] + model_scores = {m: {"qlike": qlike(realised, np.array(p)), + "rmse_vol": float(np.sqrt(np.mean((np.sqrt(np.array(p) * ppy) + - np.sqrt(realised * ppy)) ** 2))), + "bias_vol": float(np.mean(np.sqrt(np.array(p) * ppy) + - np.sqrt(realised * ppy)))} + for m, p in preds.items()} + inv = {m: 1 / s["qlike"] for m, s in model_scores.items() if m != "EWMA"} + tot = sum(inv.values()) + weights = {m: w / tot for m, w in inv.items()} + ens = sum(weights[m] * np.array(preds[m]) for m in weights) + model_scores["Ensemble"] = { + "qlike": qlike(realised, ens), + "rmse_vol": float(np.sqrt(np.mean((np.sqrt(ens * ppy) - np.sqrt(realised * ppy)) ** 2))), + "bias_vol": float(np.mean(np.sqrt(ens * ppy) - np.sqrt(realised * ppy))), + } + ewma_q = model_scores["EWMA"]["qlike"] + for s in model_scores.values(): + s["qlike_vs_ewma_pct"] = (1 - s["qlike"] / ewma_q) * 100 + scores[label] = {"days": hz, "weights": weights, "models": model_scores, + "n_forecasts": int(len(origins))} + + # Current forecast: fit on everything realised so far, predict from today. + fit_idx = np.arange(first_valid, n - hz) + f, gparams = _model_forecasts(fit_idx, np.array([n - 1]), hz, v, r, har, X_ml, cal, + use_weekend, ewma, garch_cache, n - 1) + cur = {m: float(np.sqrt(f[m][0] * ppy)) for m in f} + cur["Ensemble"] = float(np.sqrt(sum(weights[m] * f[m][0] for m in weights) * ppy)) + current[label] = cur + + if label == "1M": + backtest = { + "origin_index": origins.tolist(), + "dates": [str(dates[1:][i])[:10] for i in origins] if dates is not None else None, + "realised": np.sqrt(realised * ppy).tolist(), + "forecasts": {m: np.sqrt(np.array(p) * ppy).tolist() for m, p in preds.items()}, + "ensemble": np.sqrt(ens * ppy).tolist(), + } + garch = dict(zip(["omega", "alpha", "gamma", "beta"], map(float, gparams))) + garch["persistence"] = garch["alpha"] + 0.5 * garch["gamma"] + garch["beta"] + garch["long_run_vol"] = float(np.sqrt(garch["omega"] / max(1 - garch["persistence"], 1e-9) * ppy)) + garch["half_life_days"] = float(np.log(0.5) / np.log(garch["persistence"])) \ + if 0 < garch["persistence"] < 1 else None + + hmm = fit_hmm(r[-min(len(r), 1000):]) + A = hmm["A"] + p_now = hmm["filtered"][-1] + p_next = p_now @ A + regime = { + "state_vol": (hmm["sd"] * np.sqrt(ppy)).tolist(), + "state_mean_ann": (hmm["mu"] * ppy).tolist(), + "transition": A.tolist(), + "expected_duration_days": (1 / np.maximum(1 - np.diag(A), 1e-9)).tolist(), + "p_turbulent_now": float(p_now[1]), + "p_turbulent_next": float(p_next[1]), + "current": "TURBULENT" if p_now[1] > 0.5 else "CALM", + "history_p_turbulent": hmm["smoothed"][-min(365, len(r)):, 1].tolist(), + "history_dates": [str(x)[:10] for x in dates[1:][-min(365, len(r)):]] if dates is not None else None, + } + + signals = {} + if implied: + for label in ("1W", "1M"): + iv = implied.get(label) + if iv: + fc = current[label]["Ensemble"] + spread = iv - fc + signals[label] = { + "implied": iv, "forecast": fc, "spread": spread, + "ratio": iv / fc, + "view": "IMPLIED RICH" if spread > 0.1 * fc else + "IMPLIED CHEAP" if spread < -0.1 * fc else "FAIR", + } + + rv_now = {lbl: float(np.sqrt(np.nanmean(v[-hz:]) * ppy)) for lbl, hz in horizons} + return _clean({ + "periods_per_year": ppy, + "n_obs": int(n), + "horizons": {lbl: hz for lbl, hz in horizons}, + "ml_available": SKLEARN_AVAILABLE, + "realised_now": rv_now, + "current": current, + "scores": scores, + "backtest": backtest, + "garch": garch, + "regime": regime, + "implied_signals": signals, + }) + + +def _clean(obj, nd=6): + if isinstance(obj, (float, np.floating)): + x = float(obj) + return round(x, nd) if np.isfinite(x) else None + if isinstance(obj, (np.integer,)): + return int(obj) + if isinstance(obj, dict): + return {k: _clean(v, nd) for k, v in obj.items()} + if isinstance(obj, (list, tuple)): + return [_clean(v, nd) for v in obj] + return obj diff --git a/backend/app/routers/vol.py b/backend/app/routers/vol.py index 635bd8a..5fdaee4 100644 --- a/backend/app/routers/vol.py +++ b/backend/app/routers/vol.py @@ -123,3 +123,81 @@ def get_crypto_vol(currency: str): _cache.pop(f"crypto:{currency}", None) raise HTTPException(503, f"Deribit data unavailable: {e}") return {"currency": currency, "source": "Deribit public API", **report} + + +# ─── Vol forecast & regime engine ───────────────────────────────────────────── + +def _yf_ohlc(sym: str, period: str = "3y"): + hist = yf.download(sym, period=period, interval="1d", progress=False, auto_adjust=True) + if hist.empty: + return None + if hasattr(hist.columns, "droplevel"): + try: + hist.columns = hist.columns.droplevel(1) + except Exception: + pass + hist = hist[["Open", "High", "Low", "Close"]].dropna() + hist = hist[(hist > 0).all(axis=1)] + return {"dates": [d.date() for d in hist.index], + **{k: hist[col].to_numpy(dtype=float) for k, col in + (("o", "Open"), ("h", "High"), ("l", "Low"), ("c", "Close"))}} + + +def _crypto_ohlc(currency: str): + """Daily OHLC of the Deribit perpetual (3y); falls back to yfinance spot.""" + now = int(time.time() * 1000) + try: + res = _deribit("get_tradingview_chart_data", instrument_name=f"{currency}-PERPETUAL", + start_timestamp=now - 1100 * _DAY_MS, end_timestamp=now, resolution="1D") + if res.get("status", "ok") == "ok" and len(res.get("close", [])) > 400: + from datetime import datetime, timezone + arr = {k: np.asarray(res[src], dtype=float) for k, src in + (("o", "open"), ("h", "high"), ("l", "low"), ("c", "close"))} + ok = np.all([arr[k] > 0 for k in arr], axis=0) + return {"dates": [datetime.fromtimestamp(t / 1000, tz=timezone.utc).date() + for t, keep in zip(res["ticks"], ok) if keep], + **{k: a[ok] for k, a in arr.items()}} + except Exception: + pass + return _yf_ohlc(f"{currency}-USD") + + +@router.get("/forecast/{pair}") +def get_vol_forecast(pair: str): + """ + HAR-RV / GJR-GARCH / gradient-boosting vol forecasts (1D, 1W, 1M) with a rolling + out-of-sample QLIKE backtest, inverse-QLIKE ensemble, 2-state HMM regime and, + for BTC/ETH, a comparison against Deribit implied vols. + """ + from ..core.vol_forecast import forecast_report + + pair = pair.upper() + if pair not in PAIRS: + raise HTTPException(404, f"Unknown pair '{pair}'.") + meta = PAIRS[pair] + crypto = meta["asset_class"] == "crypto" + + def load(): + data = _crypto_ohlc(pair[:3]) if crypto else _yf_ohlc(meta["sym"]) + if not data or len(data["c"]) < 400: + raise ValueError("not enough daily OHLC history (need ~400 days)") + implied, dvol = None, None + if crypto: + try: + surf = get_crypto_vol(pair[:3]) + ts = {r["tenor"]: r["atm_vol"] for r in surf.get("atm_term_structure", [])} + implied = {"1W": ts.get("1W"), "1M": surf.get("iv_30d")} + dvol = surf.get("dvol") + except HTTPException: + pass + rep = forecast_report(data["o"], data["h"], data["l"], data["c"], dates=data["dates"], + ppy=meta["periods_per_year"], implied=implied) + return {**rep, "dvol": dvol, "last_price": float(data["c"][-1]), + "last_date": str(data["dates"][-1])} + + try: + report = _cached(f"forecast:{pair}", 1800, load) + except Exception as e: + _cache.pop(f"forecast:{pair}", None) + raise HTTPException(503, f"Vol forecast unavailable: {e}") + return {"pair": pair, "asset_class": meta["asset_class"], **report} diff --git a/backend/requirements.txt b/backend/requirements.txt index 13dc19c..e00e99c 100644 --- a/backend/requirements.txt +++ b/backend/requirements.txt @@ -7,3 +7,4 @@ yfinance>=0.2.38 pydantic>=2.0,<3.0 reportlab>=4.0,<5.0 httpx>=0.27,<1.0 +scikit-learn>=1.3,<2.0 diff --git a/backend/tests/test_vol_forecast.py b/backend/tests/test_vol_forecast.py new file mode 100644 index 0000000..40b2630 --- /dev/null +++ b/backend/tests/test_vol_forecast.py @@ -0,0 +1,123 @@ +"""Validation of the vol forecast & regime engine on simulations with known answers. + +Run from backend/: python -m pytest tests -q +""" +import numpy as np +from fastapi.testclient import TestClient + +import app.core.vol_forecast as vf +from app.main import app +from app.routers import vol as vol_router +from tests.vol_sim import dates, gjr_garch, ohlc_from_daily_vols, regime_vols + + +def _sv_path(n, base, phi, eta, rng): + """AR(1) log-vol stochastic-volatility path (daily sd).""" + lv = np.empty(n) + lv[0] = np.log(base) + for t in range(1, n): + lv[t] = np.log(base) + phi * (lv[t - 1] - np.log(base)) + eta * rng.standard_normal() + return np.exp(lv) + + +def _crypto_sample(seed=9, n=1300, weekend=0.5): + rng = np.random.default_rng(seed) + d = dates(n) + wk = np.array([weekend if x.weekday() >= 5 else 1.0 for x in d[1:]]) + o, h, l, c = ohlc_from_daily_vols(_sv_path(n, 0.03, 0.97, 0.12, rng) * wk, rng, s0=83000) + return o, h, l, c, d + + +def test_scaled_range_proxy_is_unbiased(): + rng = np.random.default_rng(0) + o, h, l, c = ohlc_from_daily_vols(np.full(3000, 0.02), rng) + v, r = vf.daily_variance(o, h, l, c) + assert abs(v.mean() / 0.02 ** 2 - 1) < 0.03 + assert np.var(r ** 2) / np.var(v) > 3 # range proxy is far less noisy + + +def test_vectorised_gjr_filter_matches_recursion(): + p = (2e-5, 0.05, 0.08, 0.88) + r = np.random.default_rng(1).standard_normal(400) * 0.02 + s = np.empty(401); s[0] = 4e-4 + for t in range(400): + s[t + 1] = p[0] + (p[1] + p[2] * (r[t] < 0)) * r[t] ** 2 + p[3] * s[t] + assert np.allclose(vf._gjr_filter(p, r, 4e-4), s, rtol=1e-12) + + +def test_gjr_garch_recovers_parameters(): + _, r = gjr_garch(4000, 2e-5, 0.05, 0.08, 0.88, np.random.default_rng(1)) + omega, a, g, b = vf.fit_gjr_garch(r)[0] + assert abs(a - 0.05) < 0.03 and abs(g - 0.08) < 0.05 and abs(b - 0.88) < 0.04 + assert abs((a + g / 2 + b) - 0.97) < 0.015 + + +def test_hmm_recovers_regimes(): + rng = np.random.default_rng(0) + vols, states = regime_vols(2000, [0.01, 0.035], [0.98, 0.95], rng) + m = vf.fit_hmm(vols * rng.standard_normal(2000)) + assert np.allclose(m["sd"], [0.01, 0.035], rtol=0.1) + assert ((m["smoothed"][:, 1] > 0.5) == states).mean() > 0.93 + + +def test_models_beat_ewma_and_weekend_feature_helps(): + o, h, l, c, d = _crypto_sample() + rep = vf.forecast_report(o, h, l, c, dates=d, ppy=365) + for hz in ("1D", "1W", "1M"): + m = rep["scores"][hz]["models"] + assert m["HAR-RV"]["qlike"] < m["EWMA"]["qlike"] + assert m["Ensemble"]["qlike"] < m["EWMA"]["qlike"] + assert abs(sum(rep["scores"][hz]["weights"].values()) - 1) < 1e-9 + assert rep["horizons"] == {"1D": 1, "1W": 7, "1M": 30} + assert 0 <= rep["regime"]["p_turbulent_now"] <= 1 + with_dummy = rep["scores"]["1D"]["models"]["HAR-RV"]["qlike"] + no_dates = vf.forecast_report(o, h, l, c, dates=None, ppy=365) + assert with_dummy < 0.8 * no_dates["scores"]["1D"]["models"]["HAR-RV"]["qlike"] + + +def test_backtest_has_no_look_ahead(): + o, h, l, c, d = _crypto_sample(n=1200) + v, r = vf.daily_variance(o, h, l, c, calib_end=900) + wd = np.array([x.weekday() for x in d[1:]]) + har, extra, cal, _, w_m = vf.build_features(v, r, 365, wd) + X = np.column_stack([har, extra, cal]) + blk, hz = 1000, 30 + fit, pred = np.arange(w_m + 5, blk - hz + 1), np.arange(blk, blk + 21) + before, _ = vf._model_forecasts(fit, pred, hz, v, r, har, X, cal, True, vf.ewma_series(r), {}, blk) + # Scramble everything after the last prediction origin: forecasts must not move. + cut = pred[-1] + 1 + v2, r2 = v.copy(), r.copy() + v2[cut:] *= 7.0 + r2[cut:] *= -3.0 + har2, extra2, cal2, _, _ = vf.build_features(v2, r2, 365, wd) + X2 = np.column_stack([har2, extra2, cal2]) + after, _ = vf._model_forecasts(fit, pred, hz, v2, r2, har2, X2, cal2, True, vf.ewma_series(r2), {}, blk) + for m in before: + assert np.allclose(before[m], after[m]), m + + +def test_implied_signal_and_endpoint(monkeypatch): + o, h, l, c, d = _crypto_sample(n=1100) + data = {"dates": d, "o": o, "h": h, "l": l, "c": c} + monkeypatch.setattr(vol_router, "_crypto_ohlc", lambda ccy: data) + monkeypatch.setattr(vol_router, "_yf_ohlc", lambda sym, period="3y": data) + monkeypatch.setattr(vol_router, "get_crypto_vol", lambda ccy: { + "atm_term_structure": [{"tenor": "1W", "atm_vol": 2.0}], "iv_30d": 0.05, + "dvol": {"last": 0.4, "series": []}}) + vol_router._cache.clear() + client = TestClient(app) + res = client.get("/api/vol/forecast/btcusd") + assert res.status_code == 200 + j = res.json() + assert j["implied_signals"]["1W"]["view"] == "IMPLIED RICH" # 200% implied + assert j["implied_signals"]["1M"]["view"] == "IMPLIED CHEAP" # 5% implied + assert len(j["backtest"]["dates"]) == len(j["backtest"]["realised"]) > 100 + xag = client.get("/api/vol/forecast/XAGUSD").json() + assert xag["periods_per_year"] == 252 and xag["horizons"]["1M"] == 21 + assert xag["implied_signals"] == {} + assert client.get("/api/vol/forecast/NOPE").status_code == 404 + + short = {k: (v[:200] if k != "dates" else v[:200]) for k, v in data.items()} + monkeypatch.setattr(vol_router, "_yf_ohlc", lambda sym, period="3y": short) + vol_router._cache.clear() + assert client.get("/api/vol/forecast/EURUSD").status_code == 503 diff --git a/backend/tests/vol_sim.py b/backend/tests/vol_sim.py new file mode 100644 index 0000000..01ea180 --- /dev/null +++ b/backend/tests/vol_sim.py @@ -0,0 +1,41 @@ +"""Simulators with known volatility dynamics for validating vol_forecast.""" +from datetime import date, timedelta +import numpy as np + + +def ohlc_from_daily_vols(daily_sd, rng, s0=100.0, steps=48): + """Intraday Brownian paths -> daily O/H/L/C with exact daily variance daily_sd².""" + n = len(daily_sd) + o, h, l, c = (np.empty(n + 1) for _ in range(4)) + o[0] = h[0] = l[0] = c[0] = s0 + px = s0 + for t in range(n): + inc = rng.standard_normal(steps) * daily_sd[t] / np.sqrt(steps) + path = px * np.exp(np.concatenate([[0.0], np.cumsum(inc)])) + o[t + 1], h[t + 1], l[t + 1], c[t + 1] = path[0], path.max(), path.min(), path[-1] + px = path[-1] + return o, h, l, c + + +def gjr_garch(n, omega, alpha, gamma, beta, rng): + """Returns (conditional sd path, returns) of a GJR-GARCH(1,1) with N(0,1) shocks.""" + s2 = omega / (1 - alpha - 0.5 * gamma - beta) + sds, rets = np.empty(n), np.empty(n) + for t in range(n): + sds[t] = np.sqrt(s2) + rets[t] = sds[t] * rng.standard_normal() + s2 = omega + (alpha + gamma * (rets[t] < 0)) * rets[t] ** 2 + beta * s2 + return sds, rets + + +def regime_vols(n, vols, p_stay, rng): + state, out, states = 0, [], [] + for _ in range(n): + out.append(vols[state]); states.append(state) + if rng.random() > p_stay[state]: + state = 1 - state + return np.array(out), np.array(states) + + +def dates(n, start=date(2023, 1, 2)): + return [start + timedelta(days=i) for i in range(n + 1)] diff --git a/frontend/src/api/client.js b/frontend/src/api/client.js index b03f259..e08c62a 100644 --- a/frontend/src/api/client.js +++ b/frontend/src/api/client.js @@ -25,6 +25,7 @@ export const computeSmile = (p) => api.post('/smile', p).then(r=> // Vol Lab export const fetchVolCone = (pair) => api.get(`/vol/cone/${pair}`).then(r=>r.data) export const fetchCryptoVol = (currency) => api.get(`/vol/crypto/${currency}`).then(r=>r.data) +export const fetchVolForecast = (pair) => api.get(`/vol/forecast/${pair}`).then(r=>r.data) export const exportCSV = (p) => api.post('/export/csv', p, {responseType:'blob'}).then(r=>r.data) // Institutional flow diff --git a/frontend/src/components/VolForecast.jsx b/frontend/src/components/VolForecast.jsx new file mode 100644 index 0000000..92b0963 --- /dev/null +++ b/frontend/src/components/VolForecast.jsx @@ -0,0 +1,250 @@ +import { useEffect, useState } from 'react' +import _Plot from 'react-plotly.js' +const Plot = _Plot?.default ?? _Plot +import { usePortfolioStore, isCrypto } from '../store/portfolio' +import { fetchVolForecast } from '../api/client' + +const pct = (v, d = 1) => (v == null ? '—' : (v * 100).toFixed(d) + '%') +const MODEL_COLORS = { + 'Ensemble': '#00ff88', 'HAR-RV': '#00d4ff', 'GJR-GARCH': '#ffd700', + 'Gradient Boosting': '#c084fc', 'EWMA': '#94a3b8', +} +const HORIZONS = ['1D', '1W', '1M'] +const VIEW_COLOR = { 'IMPLIED RICH': 'var(--amber)', 'IMPLIED CHEAP': 'var(--green)', 'FAIR': 'var(--cyan)' } + +const LAYOUT = { + paper_bgcolor:'transparent', plot_bgcolor:'#080d18', + font:{ color:'#94a3b8', size:11 }, + margin:{ l:52, r:16, t:12, b:44 }, + legend:{ bgcolor:'transparent', font:{ size:9 }, orientation:'h', x:0, y:-0.22 }, + hoverlabel:{ bgcolor:'#0f172a', font:{ color:'#e2e8f0' }, bordercolor:'rgba(0,212,255,0.15)' }, +} +const axis = (title, extra = {}) => ({ title:{ text:title }, gridcolor:'#1e293b', color:'#475569', zeroline:false, ...extra }) + +export default function VolForecast() { + const { pair } = usePortfolioStore() + const [nonce, setNonce] = useState(0) + const [response, setResponse] = useState({ key:null, data:null, error:null }) + const [horizon, setHorizon] = useState('1M') + const requestKey = `${pair}:${nonce}` + + useEffect(() => { + let stale = false + fetchVolForecast(pair) + .then(data => { if (!stale) setResponse({ key:requestKey, data, error:null }) }) + .catch(e => { if (!stale) setResponse({ key:requestKey, data:null, + error: e?.response?.data?.detail ?? e?.message ?? 'Forecast unavailable' }) }) + return () => { stale = true } + }, [pair, requestKey]) + + const loading = response.key !== requestKey + const d = response.key?.startsWith(`${pair}:`) ? response.data : null + const error = response.key === requestKey ? response.error : null + + return ( +
+
+
+
Vol Forecast & Regime — {pair}
+
+ HAR-RV · GJR-GARCH · Gradient Boosting (ML) · HMM regimes · out-of-sample QLIKE backtest + {d && <> · {d.periods_per_year}-day vol · data to {d.last_date}} +
+
+ +
+ + {error && ( +
{error}
+ )} + {!d && loading && ( +
+
+ Fitting 4 models across 3 horizons and running a rolling out-of-sample backtest (first load can take ~10–20s)… +
+
+
+ )} + + {d && ( +
+ +
+ + +
+ + +
+ Forecast target: average variance over the next h days, proxy = Garman-Klass range + overnight gap scaled to + close-to-close (calibrated before the backtest window). HAR-RV (Corsi 2009){isCrypto(pair) ? ' with a weekend dummy for 24/7 crypto' : ''}; + GJR-GARCH(1,1) Gaussian QMLE (Glosten-Jagannathan-Runkle 1993); gradient boosting on HAR, return and calendar features. + Models refit every 21 days on data available at each origin; scored with QLIKE, robust to proxy noise (Patton 2011); + ensemble weights ∝ 1/QLIKE. Regimes: 2-state Gaussian HMM (Hamilton 1989). +
+
+ )} +
+ ) +} + +function Kpis({ d, pair }) { + const sig = d.implied_signals?.['1M'] + const reg = d.regime + const items = [ + { label:'Forecast 1M (ensemble)', value: pct(d.current['1M'].Ensemble) }, + { label:'Realised 1M', value: pct(d.realised_now['1M']) }, + ...(isCrypto(pair) ? [ + { label:'Implied 1M (Deribit)', value: pct(sig?.implied) }, + { label:'Implied − forecast', value: sig ? `${sig.spread >= 0 ? '+' : ''}${(sig.spread * 100).toFixed(1)} vol` : '—', + sub: sig?.view, color: sig ? VIEW_COLOR[sig.view] : undefined }, + ] : []), + { label:'Regime (HMM)', value: reg.current, sub:`P(turbulent) ${pct(reg.p_turbulent_now, 0)}`, + color: reg.current === 'TURBULENT' ? 'var(--red)' : 'var(--green)' }, + // Persistence ≳ 0.995 is effectively IGARCH: shocks barely decay and the "long-run vol" is not meaningful. + d.garch?.persistence >= 0.995 + ? { label:'GARCH persistence', value: d.garch.persistence.toFixed(3), sub:'near-integrated (IGARCH-like)', color:'var(--amber)' } + : { label:'GARCH half-life', value: d.garch?.half_life_days ? `${d.garch.half_life_days.toFixed(0)}d` : '—', + sub:`long-run σ ${pct(d.garch?.long_run_vol)}` }, + ] + return ( +
+ {items.map(k => ( +
+
{k.label}
+
{k.value}
+ {k.sub &&
{k.sub}
} +
+ ))} +
+ ) +} + +function Card({ title, children }) { + return ( +
+
{title}
+ {children} +
+ ) +} + +function TermChart({ d }) { + const models = Object.keys(d.current['1M']) + const x = HORIZONS.map(h => d.horizons[h]) + const traces = models.map(m => ({ + x, y:HORIZONS.map(h => d.current[h][m] * 100), type:'scatter', mode:'lines+markers', name:m, + line:{ color:MODEL_COLORS[m], width: m === 'Ensemble' ? 3 : 1.5, dash: m === 'EWMA' ? 'dot' : 'solid' }, + marker:{ size: m === 'Ensemble' ? 8 : 5 }, + })) + traces.push({ x, y:HORIZONS.map(h => d.realised_now[h] * 100), type:'scatter', mode:'markers', + name:'Trailing realised', marker:{ color:'#ffffff', size:7, symbol:'x' } }) + const iv = HORIZONS.filter(h => d.implied_signals?.[h]) + if (iv.length) traces.push({ x:iv.map(h => d.horizons[h]), y:iv.map(h => d.implied_signals[h].implied * 100), + type:'scatter', mode:'markers', name:'Deribit implied ATM', marker:{ color:'#ff3d5a', size:11, symbol:'diamond' } }) + return ( + + + + ) +} + +function RegimeChart({ d }) { + const r = d.regime + const x = r.history_dates ?? r.history_p_turbulent.map((_, i) => i) + return ( + + p * 100), type:'scatter', mode:'lines', fill:'tozeroy', + name:'P(turbulent)', line:{ color:'#ff3d5a', width:1.5 }, fillcolor:'rgba(255,61,90,0.15)' }]} + layout={{ ...LAYOUT, showlegend:false, xaxis:axis(''), yaxis:axis('P(turbulent) %', { range:[0, 100] }), + shapes:[{ type:'line', xref:'paper', x0:0, x1:1, y0:50, y1:50, line:{ color:'rgba(255,255,255,0.2)', dash:'dot', width:1 } }] }} + config={{ responsive:true, displayModeBar:false }} style={{ width:'100%', height:280 }} /> + + ) +} + +function BacktestChart({ d }) { + const b = d.backtest + if (!b?.realised?.length) return null + const x = b.dates ?? b.origin_index + const traces = [ + { x, y:b.realised.map(v => v * 100), type:'scatter', mode:'lines', name:'Realised next 1M', + line:{ color:'#ffffff', width:2 } }, + { x, y:b.ensemble.map(v => v * 100), type:'scatter', mode:'lines', name:'Ensemble forecast', + line:{ color:MODEL_COLORS.Ensemble, width:2 } }, + ...Object.entries(b.forecasts).map(([m, ys]) => ({ + x, y:ys.map(v => v * 100), type:'scatter', mode:'lines', name:m, visible:'legendonly', + line:{ color:MODEL_COLORS[m], width:1.2 } })), + ] + if (d.dvol?.series?.length) traces.push({ + x:d.dvol.series.map(p => new Date(p[0]).toISOString().slice(0, 10)), y:d.dvol.series.map(p => p[1] * 100), + type:'scatter', mode:'lines', name:'DVOL (implied 30d)', line:{ color:'#ff3d5a', width:1.5, dash:'dot' } }) + return ( +
+ + + +
+ ) +} + +function Leaderboard({ d, horizon, setHorizon }) { + const s = d.scores[horizon] + const rows = Object.entries(s.models).sort((a, b) => a[1].qlike - b[1].qlike) + const best = rows[0][0] + return ( +
+
+ Model leaderboard · {s.n_forecasts} out-of-sample forecasts + {HORIZONS.map(h => ( + + ))} +
+
+ + + + {['Model', 'QLIKE', 'vs EWMA', 'RMSE (vol pts)', 'Bias (vol pts)', 'Ensemble weight', `Forecast ${horizon}`].map((h, i) => ( + + ))} + + + + {rows.map(([m, v]) => ( + + + + = 0 ? '+' : ''}${v.qlike_vs_ewma_pct.toFixed(1)}%`} + color={m === 'EWMA' ? undefined : v.qlike_vs_ewma_pct >= 0 ? 'var(--green)' : 'var(--red)'} /> + + = 0 ? '+' : ''}${(v.bias_vol * 100).toFixed(2)}`} /> + + + + ))} + +
{h}
{m}{m === best ? ' ★' : ''}
+
+
+ Lower QLIKE is better. "vs EWMA" = QLIKE reduction against the RiskMetrics benchmark. Positive bias = over-forecasting. + {!d.ml_available && ' Gradient boosting unavailable (scikit-learn not installed on the server).'} +
+
+ ) +} + +const Num = ({ v, color }) => ( + {v} +) diff --git a/frontend/src/pages/Dashboard.jsx b/frontend/src/pages/Dashboard.jsx index 9dd5e50..0b4d40e 100644 --- a/frontend/src/pages/Dashboard.jsx +++ b/frontend/src/pages/Dashboard.jsx @@ -10,6 +10,7 @@ import InstitutionalFlow from '../components/InstitutionalFlow' import EconomicCalendar from '../components/EconomicCalendar' import VolSmile from '../components/VolSmile' import VolLab from '../components/VolLab' +import VolForecast from '../components/VolForecast' const IVSurface = lazy(() => import('../components/IVSurface')) const WorldMap = lazy(() => import('../components/WorldMap')) @@ -41,6 +42,7 @@ const TABS = [ { id:'chart', icon:'📈', label:'Chart', component: CandlestickChart }, { id:'signals', icon:'⚡', label:'AI Signals', component: QuantSignals }, { id:'vollab', icon:'🔬', label:'Vol Lab', component: VolLab }, + { id:'volforecast', icon:'🤖', label:'Vol Forecast', component: VolForecast }, { id:'smile', icon:'〰', label:'Vol Smile', component: VolSmile }, { id:'surfaces', icon:'🗻', label:'3D Surfaces', component: SurfacePlot }, { id:'breakeven', icon:'🎯', label:'Breakeven', component: BreakevenChart }, diff --git a/screenshots/vol-forecast-btc.png b/screenshots/vol-forecast-btc.png new file mode 100644 index 0000000000000000000000000000000000000000..23a6e005602a33440dd40300050242e8cdc8a6eb GIT binary patch literal 516278 zcmZ5{19W6t({?zqIq}4r*tYFVtcfPJC$^1A$DY`n*yz}{IyU~i-@W(y{`=Niz0T>g zx=-!1t9DiGdY%)mq#%g|j|UG128JXpC8h!f2A%WqS%ro8xS~VaNdX3i3MMTktmd9| z>I2LHcDCMjzP#qz)TonRkNGV}DR)SexDq9F(Cgx-ph8V3Hqn$wJhqHw zXSQ1*5cV(!*f6pr z(<}}&PdWVSmaqkqVET@m4ftV^BAeE2{-~)Es<=$*&_G@HZ{CIqoB@a(pX5Odp{2e; z^Ck&o(YZr^QsToeNdZtpE1RN1|B^o#j7ZQhjewUanm&x8wV<`4Uis>Fa#1HEJZ+|1 zsDY5YK5q(+8?v&mba(XoYh&cgjtba8+7}e~IM zEUye#@pP}%7-zVb><{Cr78)!5v}r{$>iaJRpBRy$CAmb{q5VnZqWtsRi-q}&7HqXB zKlJrF*g{LEa4P+1#hWAbz#$Oh&$W<2%}}Y86Zz9jE-sQ`3~`cykRp*l&xredj+Rmqgp< zK844hLM7Y)$fbE@dn&$;;Z7yt$lZ4n#XG--j%p^$M7Q$sGg 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