{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bf0ecb26",
   "metadata": {},
   "source": [
    "# Time Series for Finance\n",
    "\n",
    "Companion notebook to [Data Science Module 3](https://rodoslay.com/data-science/03-time-series-for-finance) at **rodoslay.com**.\n",
    "\n",
    "Four experiments: (1) AR(1) vs random walk, with ADF and KPSS output; (2) the **spurious\n",
    "regression** factory — unrelated random walks producing beautiful t-statistics; (3) ACF/PACF\n",
    "reading practice; (4) **GARCH(1,1) from scratch** — the likelihood is ten lines, the fit is one\n",
    "`scipy.optimize` call, and after this it will never be a black box again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f590e2b9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-14T02:01:32.648986Z",
     "iopub.status.busy": "2026-07-14T02:01:32.648800Z",
     "iopub.status.idle": "2026-07-14T02:01:34.218346Z",
     "shell.execute_reply": "2026-07-14T02:01:34.216743Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import minimize\n",
    "from statsmodels.tsa.stattools import adfuller, kpss, acf, pacf\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")   # kpss emits an interpolation warning at extreme p-values\n",
    "\n",
    "rng = np.random.default_rng(3)\n",
    "plt.rcParams[\"figure.figsize\"] = (10, 4.5)\n",
    "plt.rcParams[\"axes.grid\"] = True\n",
    "plt.rcParams[\"grid.alpha\"] = 0.3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddc17029",
   "metadata": {},
   "source": [
    "## 1. Persistence vs. unit root — and what the tests say"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a3ed64f7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-14T02:01:34.220906Z",
     "iopub.status.busy": "2026-07-14T02:01:34.220570Z",
     "iopub.status.idle": "2026-07-14T02:01:34.461530Z",
     "shell.execute_reply": "2026-07-14T02:01:34.460529Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>phi</th>\n",
       "      <th>ADF p (null: unit root)</th>\n",
       "      <th>KPSS p (null: stationary)</th>\n",
       "      <th>joint read</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.1000</td>\n",
       "      <td>stationary</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.95</td>\n",
       "      <td>0.0094</td>\n",
       "      <td>0.1000</td>\n",
       "      <td>stationary</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.00</td>\n",
       "      <td>0.6694</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>unit root</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    phi ADF p (null: unit root) KPSS p (null: stationary)  joint read\n",
       "0  0.50                  0.0000                    0.1000  stationary\n",
       "1  0.95                  0.0094                    0.1000  stationary\n",
       "2  1.00                  0.6694                    0.0100   unit root"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T = 400\n",
    "eps = rng.standard_normal(T)\n",
    "\n",
    "def ar1(phi):\n",
    "    y = np.zeros(T)\n",
    "    for t in range(1, T):\n",
    "        y[t] = phi * y[t - 1] + eps[t]     # same shocks for every phi\n",
    "    return y\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for phi in [0.5, 0.95, 1.0]:\n",
    "    ax.plot(ar1(phi), label=f\"phi = {phi}\", lw=1.2)\n",
    "ax.legend(); ax.set_title(\"Same 400 shocks, three persistence levels\"); plt.show()\n",
    "\n",
    "rows = []\n",
    "for phi in [0.5, 0.95, 1.0]:\n",
    "    y = ar1(phi)\n",
    "    adf_p = adfuller(y)[1]\n",
    "    kpss_p = kpss(y, regression=\"c\", nlags=\"auto\")[1]\n",
    "    rows.append([phi, f\"{adf_p:.4f}\", f\"{kpss_p:.4f}\",\n",
    "                 \"stationary\" if adf_p < 0.05 and kpss_p > 0.05 else\n",
    "                 \"unit root\" if adf_p > 0.05 and kpss_p < 0.05 else \"ambiguous\"])\n",
    "pd.DataFrame(rows, columns=[\"phi\", \"ADF p (null: unit root)\", \"KPSS p (null: stationary)\", \"joint read\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e331252a",
   "metadata": {},
   "source": [
    "Note the φ = 0.95 row: strongly persistent but stationary, and depending on the draw the tests\n",
    "can already start disagreeing — this is the near-unit-root fog the article warns about. Rerun with\n",
    "a different seed and watch that row wobble while 0.5 and 1.0 stay solid.\n",
    "\n",
    "## 2. The spurious regression factory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a2b40042",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-14T02:01:34.464274Z",
     "iopub.status.busy": "2026-07-14T02:01:34.463988Z",
     "iopub.status.idle": "2026-07-14T02:01:34.861935Z",
     "shell.execute_reply": "2026-07-14T02:01:34.860945Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "share of |t| > 1.96 (should be ~5% if inference were valid): 82%\n",
      "median |t|: 6.3    median R^2: 0.17\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def spurious_experiment(n_reps=200, T=200):\n",
    "    t_stats, r2s = [], []\n",
    "    for _ in range(n_reps):\n",
    "        x = np.cumsum(rng.standard_normal(T))       # random walk 1\n",
    "        y = np.cumsum(rng.standard_normal(T))       # totally unrelated random walk 2\n",
    "        X = np.column_stack([np.ones(T), x])\n",
    "        beta, res, *_ = np.linalg.lstsq(X, y, rcond=None)\n",
    "        resid = y - X @ beta\n",
    "        s2 = resid @ resid / (T - 2)\n",
    "        se = np.sqrt(s2 * np.linalg.inv(X.T @ X)[1, 1])\n",
    "        t_stats.append(abs(beta[1] / se))\n",
    "        r2s.append(1 - resid.var() / y.var())\n",
    "    return np.array(t_stats), np.array(r2s)\n",
    "\n",
    "t_stats, r2s = spurious_experiment()\n",
    "print(f\"share of |t| > 1.96 (should be ~5% if inference were valid): {(t_stats > 1.96).mean():.0%}\")\n",
    "print(f\"median |t|: {np.median(t_stats):.1f}    median R^2: {np.median(r2s):.2f}\")\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4))\n",
    "ax1.hist(t_stats, bins=40, color=\"#b3541e\", alpha=0.8)\n",
    "ax1.axvline(1.96, color=\"k\", ls=\"--\"); ax1.set_title(\"|t| stats, unrelated random walks\")\n",
    "ax2.hist(r2s, bins=40, color=\"#1f4d3a\", alpha=0.8); ax2.set_title(\"R² of nonsense\")\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ece789b6",
   "metadata": {},
   "source": [
    "Roughly three quarters of regressions between *unrelated* random walks are \"significant.\"\n",
    "Difference both series and rerun — the rejection rate falls back to ~5%, where honest inference lives.\n",
    "\n",
    "## 3. ACF / PACF reading practice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4bba3342",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-14T02:01:34.864179Z",
     "iopub.status.busy": "2026-07-14T02:01:34.863927Z",
     "iopub.status.idle": "2026-07-14T02:01:35.405902Z",
     "shell.execute_reply": "2026-07-14T02:01:35.404510Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_ar = ar1(0.7)                                   # AR(1): ACF decays, PACF cuts off at lag 1\n",
    "r = rng.standard_normal(T)\n",
    "y_ma = r[1:] + 0.8 * r[:-1]                       # MA(1): ACF cuts off at lag 1, PACF decays\n",
    "\n",
    "fig, axes = plt.subplots(2, 2, figsize=(11, 6))\n",
    "for row, (y, name) in enumerate([(y_ar, \"AR(1), phi=0.7\"), (y_ma, \"MA(1), theta=0.8\")]):\n",
    "    axes[row, 0].stem(acf(y, nlags=15)); axes[row, 0].set_title(f\"ACF — {name}\")\n",
    "    axes[row, 1].stem(pacf(y, nlags=15)); axes[row, 1].set_title(f\"PACF — {name}\")\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1c74318",
   "metadata": {},
   "source": [
    "The identification rules in one glance: **AR(p)** — ACF decays geometrically, PACF cuts off after\n",
    "lag p. **MA(q)** — the mirror image. Real financial series rarely read this cleanly; when both decay,\n",
    "keep the model small and let out-of-sample fit arbitrate.\n",
    "\n",
    "## 4. GARCH(1,1) from scratch\n",
    "\n",
    "$$r_t = \\sigma_t \\varepsilon_t, \\qquad \\sigma^2_t = \\omega + \\alpha r^2_{t-1} + \\beta \\sigma^2_{t-1}$$\n",
    "\n",
    "The Gaussian log-likelihood is a running recursion over the variance — that's the whole model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4b76835a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-14T02:01:35.408332Z",
     "iopub.status.busy": "2026-07-14T02:01:35.408024Z",
     "iopub.status.idle": "2026-07-14T02:01:36.216324Z",
     "shell.execute_reply": "2026-07-14T02:01:36.214961Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "true:   omega=0.05, alpha=0.08, beta=0.9\n",
      "fitted: omega=0.0627, alpha=0.0933, beta=0.8825   (persistence 0.976)\n"
     ]
    }
   ],
   "source": [
    "def garch_sim(omega, alpha, beta, T=2000, seed=11):\n",
    "    r = np.zeros(T); s2 = omega / (1 - alpha - beta)\n",
    "    g = np.random.default_rng(seed)\n",
    "    for t in range(T):\n",
    "        r[t] = np.sqrt(s2) * g.standard_normal()\n",
    "        s2 = omega + alpha * r[t] ** 2 + beta * s2\n",
    "    return r\n",
    "\n",
    "def garch_negloglik(params, r):\n",
    "    omega, alpha, beta = params\n",
    "    if omega <= 0 or alpha < 0 or beta < 0 or alpha + beta >= 0.9999:\n",
    "        return 1e10\n",
    "    T = len(r)\n",
    "    s2 = r.var()                                   # initialize at sample variance\n",
    "    nll = 0.0\n",
    "    for t in range(T):\n",
    "        nll += 0.5 * (np.log(2 * np.pi) + np.log(s2) + r[t] ** 2 / s2)\n",
    "        s2 = omega + alpha * r[t] ** 2 + beta * s2\n",
    "    return nll\n",
    "\n",
    "true = (0.05, 0.08, 0.90)\n",
    "r = garch_sim(*true)\n",
    "fit = minimize(garch_negloglik, x0=[0.1, 0.1, 0.8], args=(r,), method=\"Nelder-Mead\",\n",
    "               options={\"xatol\": 1e-6, \"fatol\": 1e-6, \"maxiter\": 5000})\n",
    "omega, alpha, beta = fit.x\n",
    "print(f\"true:   omega={true[0]}, alpha={true[1]}, beta={true[2]}\")\n",
    "print(f\"fitted: omega={omega:.4f}, alpha={alpha:.4f}, beta={beta:.4f}   (persistence {alpha+beta:.3f})\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "94e84b41",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-14T02:01:36.218408Z",
     "iopub.status.busy": "2026-07-14T02:01:36.218148Z",
     "iopub.status.idle": "2026-07-14T02:01:36.540313Z",
     "shell.execute_reply": "2026-07-14T02:01:36.538360Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# conditional volatility path + forecast decay to the long-run level\n",
    "s2 = np.empty(len(r)); s2[0] = r.var()\n",
    "for t in range(1, len(r)):\n",
    "    s2[t] = omega + alpha * r[t-1]**2 + beta * s2[t-1]\n",
    "\n",
    "h = np.arange(1, 250)\n",
    "uncond = omega / (1 - alpha - beta)\n",
    "fcast = uncond + (alpha + beta) ** h * (s2[-1] - uncond)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "ax1.plot(r, lw=0.5, color=\"#5c5c5c\"); ax1.plot(2*np.sqrt(s2), color=\"#1f4d3a\"); ax1.plot(-2*np.sqrt(s2), color=\"#1f4d3a\")\n",
    "ax1.set_title(\"Returns with fitted ±2σ envelope — clustering, captured\")\n",
    "ax2.plot(h, np.sqrt(fcast), color=\"#1f4d3a\"); ax2.axhline(np.sqrt(uncond), color=\"k\", ls=\"--\", lw=0.8)\n",
    "ax2.set_title(f\"Vol forecast decays to long-run level (half-life ≈ {np.log(0.5)/np.log(alpha+beta):.0f} days)\")\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "257ad7ca",
   "metadata": {},
   "source": [
    "## Exercises\n",
    "\n",
    "1. **Fat tails from clustering alone.** Compute the kurtosis of the simulated GARCH returns —\n",
    "   the shocks were Gaussian, yet kurtosis exceeds 3. How much of the excess survives after you\n",
    "   standardize by the fitted $\\sigma_t$?\n",
    "2. **t-innovations.** Swap the Gaussian likelihood for a Student-t and refit. Does ν come out\n",
    "   finite even *after* GARCH has absorbed the clustering? (For daily equity data, it does —\n",
    "   volatility clustering explains part of the fat tail, not all of it.)\n",
    "3. **Real data.** Fit the model to any daily return series you have. Compare α + β to the 0.98\n",
    "   folk value.\n",
    "4. **Merton hookup.** Take your fitted 1-year-ahead volatility forecast and run it through the\n",
    "   Merton notebook from [credit Module 4](https://rodoslay.com/credit-models/04-structural-models).\n",
    "   How much does a volatility regime shift move a firm's PD?"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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