{ "cells": [ { "cell_type": "markdown", "id": "c7b3396f", "metadata": {}, "source": [ "# Does Risk Grow With the Square Root of Time?\n", "\n", "A bank's trading desk knows how much its positions can lose in a day. Its regulator asks how much they can lose in ten. The usual answer is one multiplication: the one-day number times the square root of ten, about 3.16. The reasoning is short. If each day's return has nothing to do with the day before, the variances of the days add up, so ten days have ten times the variance of one and $\\sqrt{10}$ times its standard deviation. By the same rule a year of 252 trading days is $\\sqrt{252} \\approx 15.9$ times as risky as a day.\n", "\n", "In January 1996 the rule went into the capital rules of the world's large banks. The Basle Committee on Banking Supervision's *Amendment to the Capital Accord to incorporate market risks* told banks to measure value-at-risk at the 99th percentile over a minimum \"holding period\" of ten trading days, and gave them a shortcut: \"Banks may use value-at-risk numbers calculated according to shorter holding periods scaled up to ten days by the square root of time.\"\n", "\n", "The shortcut is exact only if returns are uncorrelated from one day to the next. In 1988 Andrew Lo and Craig MacKinlay turned that condition into a test, the variance ratio: the variance of a return over $q$ periods divided by $q$ times the variance over one. Where the rule holds the ratio is 1. Where it is above 1, $\\sqrt{T}$ understates the risk, and the true scaling is $\\sqrt{\\mathrm{VR}\\cdot T}$. This notebook measures the ratio on a century of the US stock market, Kenneth French's value-weighted index of US-listed stocks with dividends, every trading day from July 1926 to August 2026, at horizons from two days to ten years; then splits the century by decade; then checks Basel's $\\sqrt{10}$ against the ten-day losses the market actually delivered.\n", "\n", "**Key findings**\n", "\n", "- Over 1926–2026 the square-root rule understated the market's risk at every horizon from 2 trading days to 6.8 years: the variance ratio is 1.122 at a month, 1.264 at a year and highest, 1.322, near a year and a half.\n", "- A century proves less than it seems: only the 2- and 3-day ratios lie more than two heteroskedasticity-robust standard errors from 1 (z* = 3.15 at 2 days), and at ten years the ratio of 0.882 has a robust standard error of 0.443: two of them either way span from about zero to about 1.8.\n", "- The sign flipped around 2000. A week's ratio was 1.152 over 1926–1999 (z* = 3.85) and 1.513 in the 1970s; over 2000–2026 it is 0.859 (z* = −2.37). A month's ratio fell from 1.294 to 0.782, and is below 1 in every ten-year window ending after December 1999.\n", "- Basel's $\\sqrt{10}$, measured on every overlapping ten-day window: the actual 99% ten-day loss was 1.082 times the rule's over the century, 1.121 and 1.118 in 1926–1962 and 1963–1999, and 0.975 since 2000." ] }, { "cell_type": "markdown", "id": "3cabc760", "metadata": {}, "source": [ "## A Century of the Market\n", "\n", "The data file holds one row per trading day: the return of French's market portfolio, which his Data Library describes as the \"value-weight return of all CRSP firms incorporated in the US and listed on the NYSE, AMEX, or NASDAQ\" with good share and price data. CRSP's returns include dividends. French publishes the market as an excess return over the one-month Treasury bill, so the file adds the bill back: total return = (Mkt-RF + RF) / 100. A second file holds the same for every month. The notebook works with log returns, $\\ln(1 + R)$, because they add up: the return over $q$ days is the sum of the $q$ daily ones." ] }, { "cell_type": "code", "execution_count": 1, "id": "d26466c5", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:45.291862Z", "iopub.status.busy": "2026-10-21T05:51:45.291781Z", "iopub.status.idle": "2026-10-21T05:51:45.441575Z", "shell.execute_reply": "2026-10-21T05:51:45.441045Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "daily: 26,317 trading days, 01 Jul 1926 to 31 Aug 2026\n", "monthly: 1,202 months, 1926-07 to 2026-08\n" ] } ], "source": [ "#| label: A Century of the Market\n", "import numpy as np\n", "import pandas as pd\n", "\n", "day = pd.read_csv(\"data/french_market_daily.csv\", index_col=\"date\",\n", " parse_dates=True)\n", "mon = pd.read_csv(\"data/french_market_monthly.csv\", index_col=\"month\")\n", "x = np.log1p(day[\"total_return\"].to_numpy()) # daily log returns\n", "xm = np.log1p(mon[\"total_return\"].to_numpy()) # monthly log returns\n", "yr = day.index.year.to_numpy() # each day's year\n", "DAYS = 252 # trading days in a year\n", "print(f\"daily: {len(x):,} trading days, {day.index[0]:%d %b %Y} to \"\n", " f\"{day.index[-1]:%d %b %Y}\")\n", "print(f\"monthly: {len(xm):,} months, {mon.index[0]} to {mon.index[-1]}\")" ] }, { "cell_type": "markdown", "id": "9115ff74", "metadata": {}, "source": [ "Two series, 26,317 trading days and 1,202 months, both running from July 1926 to August 2026.\n", "\n", "Before any test, the rule can be checked against the calendar. Multiply a day's standard deviation by the square root of the number of trading days in a year and compare it with the standard deviation of the 99 whole calendar years from 1927 to 2025. One detail matters: the daily file has rows for Saturdays until 1952, so a year in the early decades held more than 252 trading days. The cell counts them and uses the file's own average." ] }, { "cell_type": "code", "execution_count": 2, "id": "ad48e191", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:45.443126Z", "iopub.status.busy": "2026-10-21T05:51:45.443036Z", "iopub.status.idle": "2026-10-21T05:51:45.447276Z", "shell.execute_reply": "2026-10-21T05:51:45.446907Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saturday rows: 1,158, the last on 24 May 1952\n", "trading days in a year, 1927-2025: 262.6\n", "a day's spread x root 252: 17.2%\n", "a day's spread x root 262.6: 17.5%\n", "99 calendar years: 19.3%, 1.099 times the rule\n" ] } ], "source": [ "#| label: Root T Against the Calendar\n", "sat = day.index.dayofweek == 5 # rows that fall on a Saturday\n", "cal = (yr >= 1927) & (yr <= 2025) # whole calendar years only\n", "years = pd.Series(x[cal], index=yr[cal]).groupby(level=0).agg([\"sum\", \"size\"])\n", "per_year = years[\"size\"].mean() # trading days in a year\n", "sd = x[cal].std(ddof=1) # one day's spread\n", "actual = years[\"sum\"].std(ddof=1) # the spread of the years\n", "print(f\"Saturday rows: {sat.sum():,}, the last on \"\n", " f\"{day.index[sat][-1]:%d %b %Y}\")\n", "print(f\"trading days in a year, 1927-2025: {per_year:.1f}\")\n", "print(f\"a day's spread x root {DAYS}: {sd * np.sqrt(DAYS):.1%}\")\n", "print(f\"a day's spread x root {per_year:.1f}: {sd * np.sqrt(per_year):.1%}\")\n", "print(f\"{len(years)} calendar years: {actual:.1%}, \"\n", " f\"{actual / (sd * np.sqrt(per_year)):.3f} times the rule\")" ] }, { "cell_type": "markdown", "id": "8e2a0e33", "metadata": {}, "source": [ "The file has 1,158 Saturday rows, the last on 24 May 1952, and 262.6 trading days in an average year from 1927 to 2025. A day's standard deviation times $\\sqrt{262.6}$ says a year's should be 17.5%; times the usual $\\sqrt{252}$, 17.2%. The 99 calendar years actually spread by 19.3%, 1.099 times the rule. The square-root rule understated a year's risk by about a tenth. The variance ratio says where the difference comes from, horizon by horizon.\n", "\n", "## The Variance Ratio\n", "\n", "For a horizon of $q$ periods,\n", "\n", "$$\\mathrm{VR}(q) = \\frac{\\mathrm{Var}(r_{t-q+1} + \\dots + r_t)}{q\\,\\mathrm{Var}(r_t)}$$\n", "\n", "If returns are uncorrelated, the variance of the sum is the sum of the variances and $\\mathrm{VR}(q) = 1$: the square-root rule. In general, Lo and MacKinlay showed, the excess over 1 is close to a weighted sum of the first $q-1$ autocorrelations $\\rho(j)$, the weights falling in a straight line:\n", "\n", "$$\\mathrm{VR}(q) - 1 \\approx \\sum_{j=1}^{q-1} \\frac{2(q-j)}{q}\\,\\rho(j)$$\n", "\n", "Days that follow through, positive autocorrelation, push the ratio above 1, and $q$ days then carry $\\sqrt{\\mathrm{VR}(q)\\,q}$ days' worth of risk instead of $\\sqrt{q}$. Days that partly undo each other pull it below 1.\n", "\n", "Their estimator (in their working paper of 1987, equations 10 to 18 and footnote 8) uses every overlapping $q$-period sum, not only the separate ones, and corrects both variances for bias. With $T$ returns and their mean $\\hat\\mu$,\n", "\n", "$$\\begin{gathered} \\hat\\sigma_1^2 = \\frac{1}{T-1}\\sum_{t=1}^{T}(r_t - \\hat\\mu)^2, \\qquad \\hat\\sigma_q^2 = \\frac{1}{m}\\sum_{t=q}^{T}\\Big(\\sum_{i=0}^{q-1} r_{t-i} - q\\hat\\mu\\Big)^2, \\\\[4pt] m = q\\,(T-q+1)\\Big(1 - \\frac{q}{T}\\Big), \\qquad \\widehat{\\mathrm{VR}}(q) = \\frac{\\hat\\sigma_q^2}{\\hat\\sigma_1^2} \\end{gathered}$$\n", "\n", "If returns are uncorrelated with a constant variance, $\\sqrt{T}\\,(\\widehat{\\mathrm{VR}}(q) - 1)$ is approximately normal with variance $2(2q-1)(q-1)/(3q)$, which gives the statistic $z$. Market volatility is not constant, it comes in spells, so Lo and MacKinlay also gave a statistic $z^*$ that stays valid when the variance changes over time:\n", "\n", "$$\\begin{gathered} z^* = \\frac{\\sqrt{T}\\,\\big(\\widehat{\\mathrm{VR}}(q) - 1\\big)}{\\sqrt{\\hat\\theta(q)}}, \\qquad \\hat\\theta(q) = \\sum_{j=1}^{q-1}\\Big[\\frac{2(q-j)}{q}\\Big]^2\\hat\\delta(j), \\\\[4pt] \\hat\\delta(j) = \\frac{T\\sum_{t=j+1}^{T}(r_t - \\hat\\mu)^2\\,(r_{t-j} - \\hat\\mu)^2}{\\Big[\\sum_{t=1}^{T}(r_t - \\hat\\mu)^2\\Big]^2} \\end{gathered}$$\n", "\n", "The cell writes the estimator down and prints three of the $\\hat\\delta(j)$, each of which would be close to 1 if the variance were constant." ] }, { "cell_type": "code", "execution_count": 3, "id": "53e0a5ac", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:45.448369Z", "iopub.status.busy": "2026-10-21T05:51:45.448280Z", "iopub.status.idle": "2026-10-21T05:51:45.470032Z", "shell.execute_reply": "2026-10-21T05:51:45.469355Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "delta(1) 5.90, delta(21) 2.74, delta(252) 1.61\n" ] } ], "source": [ "#| label: The Variance Ratio\n", "def deltas(x, qmax): # delta(j) for j = 1 .. qmax - 1\n", " e2 = (x - x.mean()) ** 2\n", " d = [(e2[j:] * e2[:-j]).sum() for j in range(1, qmax)]\n", " return len(x) * np.array(d) / e2.sum() ** 2\n", "\n", "def vr(x, q, dl): # Lo and MacKinlay (1988)\n", " T, mu = len(x), x.mean()\n", " var1 = ((x - mu) ** 2).sum() / (T - 1)\n", " c = np.r_[0.0, np.cumsum(x)] # every overlapping q-period sum\n", " m = q * (T - q + 1) * (1 - q / T)\n", " V = ((c[q:] - c[:-q] - q * mu) ** 2).sum() / m / var1\n", " j = np.arange(1, q)\n", " phi = 2 * (2 * q - 1) * (q - 1) / (3 * q)\n", " theta = ((2 * (q - j) / q) ** 2 * dl[:q - 1]).sum()\n", " se, se_r = np.sqrt(phi / T), np.sqrt(theta / T)\n", " return V, (V - 1) / se, (V - 1) / se_r, se, se_r\n", "\n", "DL, DLm = deltas(x, 10 * DAYS), deltas(xm, 120) # up to ten years\n", "print(f\"delta(1) {DL[0]:.2f}, delta(21) {DL[20]:.2f}, delta(252) {DL[251]:.2f}\")" ] }, { "cell_type": "markdown", "id": "5de1feef", "metadata": {}, "source": [ "They are far from 1: $\\hat\\delta(1) = 5.90$, $\\hat\\delta(21) = 2.74$ and $\\hat\\delta(252) = 1.61$. A day's squared move and the squared move a day, a month or a year earlier tend to be large together: the market's variance changes, in spells that last from days to years, and $z^*$ is the stricter test for it. At $q = 2$ the approximation above has a single term, $\\mathrm{VR}(2) - 1 \\approx \\rho(1)$; the next cell checks it." ] }, { "cell_type": "code", "execution_count": 4, "id": "3a2bf6fb", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:45.471481Z", "iopub.status.busy": "2026-10-21T05:51:45.471407Z", "iopub.status.idle": "2026-10-21T05:51:45.473545Z", "shell.execute_reply": "2026-10-21T05:51:45.473193Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VR(2) = 1.0471; 1 + rho(1) = 1.0471\n" ] } ], "source": [ "#| label: Two Days, One Correlation\n", "e = x - x.mean()\n", "rho1 = (e[1:] * e[:-1]).sum() / (e * e).sum() # first autocorrelation\n", "print(f\"VR(2) = {vr(x, 2, DL)[0]:.4f}; 1 + rho(1) = {1 + rho1:.4f}\")" ] }, { "cell_type": "markdown", "id": "72f59cda", "metadata": {}, "source": [ "At two days the ratio is 1.0471 and $1 + \\rho(1)$ is 1.0471: over the century, one day's return and the next were positively correlated, and the variance ratio is that correlation in another form.\n", "\n", "## Over the Century\n", "\n", "The cell computes the ratio at ten horizons from daily returns and at eight from monthly returns, with both statistics, both standard errors (se for $z$, se* for $z^*$) and $\\sqrt{\\mathrm{VR}}$, the factor by which the square-root rule is off. Horizons are counted in trading days: 21 is a month and 252 a year in today's calendar; before 1952, with Saturday sessions, 252 trading days were about ten months." ] }, { "cell_type": "code", "execution_count": 5, "id": "69fa18f5", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:45.474651Z", "iopub.status.busy": "2026-10-21T05:51:45.474565Z", "iopub.status.idle": "2026-10-21T05:51:45.478926Z", "shell.execute_reply": "2026-10-21T05:51:45.478511Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "daily q VR z z* se se* root VR\n", "2 days 2 1.047 7.65 3.15 0.006 0.015 1.023\n", "week 5 1.055 4.06 1.66 0.014 0.033 1.027\n", "2 weeks 10 1.063 3.04 1.29 0.021 0.049 1.031\n", "month 21 1.122 3.88 1.75 0.031 0.070 1.059\n", "quarter 63 1.180 3.23 1.67 0.056 0.108 1.086\n", "half-year 126 1.171 2.15 1.22 0.079 0.140 1.082\n", "year 252 1.264 2.34 1.45 0.113 0.183 1.124\n", "2 years 504 1.313 1.96 1.30 0.160 0.240 1.146\n", "5 years 1260 1.186 0.74 0.54 0.253 0.343 1.089\n", "10 years 2520 0.882 -0.33 -0.27 0.357 0.443 0.939\n", "\n", "monthly q VR z z* se se* root VR\n", "2 months 2 1.087 3.01 1.76 0.029 0.049 1.043\n", "quarter 3 1.102 2.38 1.41 0.043 0.073 1.050\n", "half-year 6 1.083 1.17 0.70 0.071 0.119 1.041\n", "year 12 1.188 1.74 1.07 0.108 0.176 1.090\n", "2 years 24 1.196 1.24 0.77 0.158 0.254 1.094\n", "3 years 36 1.107 0.55 0.35 0.196 0.306 1.052\n", "5 years 60 0.971 -0.11 -0.08 0.255 0.375 0.985\n", "10 years 120 0.759 -0.66 -0.50 0.363 0.483 0.871\n" ] } ], "source": [ "#| label: Over the Century\n", "H = {\"2 days\": 2, \"week\": 5, \"2 weeks\": 10, \"month\": 21, \"quarter\": 63,\n", " \"half-year\": 126, \"year\": 252, \"2 years\": 504, \"5 years\": 1260,\n", " \"10 years\": 2520}\n", "M = {\"2 months\": 2, \"quarter\": 3, \"half-year\": 6, \"year\": 12,\n", " \"2 years\": 24, \"3 years\": 36, \"5 years\": 60, \"10 years\": 120}\n", "\n", "def table(x, horizons, dl, unit):\n", " print(f\"{unit:<10}{'q':>6}{'VR':>8}{'z':>8}{'z*':>8}{'se':>8}\"\n", " f\"{'se*':>8}{'root VR':>9}\")\n", " for name, q in horizons.items():\n", " V, z, zr, se, se_r = vr(x, q, dl)\n", " print(f\"{name:<10}{q:>6}{V:>8.3f}{z:>8.2f}{zr:>8.2f}{se:>8.3f}\"\n", " f\"{se_r:>8.3f}{np.sqrt(V):>9.3f}\")\n", "\n", "table(x, H, DL, \"daily\")\n", "print()\n", "table(xm, M, DLm, \"monthly\")" ] }, { "cell_type": "markdown", "id": "0f847cd7", "metadata": {}, "source": [ "From daily returns the ratio is above 1 at every horizon in the table up to two years: 1.047 at two days, 1.122 at a month, 1.264 at a year, 1.313 at two years. At 252 trading days $\\sqrt{\\mathrm{VR}}$ is 1.124: by this measure the rule misses a year's risk by about 12%, close to the calendar years' 1.099. Then the ratio turns down, to 1.186 at five years and 0.882 at ten. The monthly returns tell the same story at their own horizons: 1.188 at a year, 1.196 at two years, then 0.971 at five and 0.759 at ten. It is the shape James Poterba and Lawrence Summers described in 1988, returns \"positively serially correlated over short horizons, and negatively autocorrelated over long horizons\", and that Eugene Fama and Kenneth French found the same year, with \"large negative autocorrelations for return horizons beyond a year\".\n", "\n", "The statistics are less sure than the shape. Against the constant-variance errors, $z$ is above 2 out to a year. Against the robust errors, wider at every horizon because volatility comes in spells, only the two-day ratio in the table passes: $z^* = 3.15$. At ten years one standard error is 0.357 under constant variance and 0.443 under the robust formula. A century holds ten separate ten-year spans, and ten draws cannot pin a ratio down. The next cell runs the daily ratio at every horizon from 2 trading days to 2,520 and finds where it peaks, where it crosses 1, and where its robust band clears 1." ] }, { "cell_type": "code", "execution_count": 6, "id": "da9f945c", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:45.480441Z", "iopub.status.busy": "2026-10-21T05:51:45.480353Z", "iopub.status.idle": "2026-10-21T05:51:45.746700Z", "shell.execute_reply": "2026-10-21T05:51:45.746113Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "highest VR: 1.322 at 386 trading days (1.5 years)\n", "VR above 1 at every horizon up to 1709 trading days (6.8 years)\n", "horizons with VR below 1: 811 of 2519, all from 1710 days on: True\n", "robust bands clear of 1: 2 horizons, up to 3 days\n", "at 2520 days: VR 0.882 ± 0.887 (two robust standard errors)\n" ] } ], "source": [ "#| label: Every Horizon\n", "Q = np.arange(2, 10 * DAYS + 1) # every horizon, 2 days to 10 years\n", "R = np.array([vr(x, q, DL) for q in Q])\n", "VR_d, SE_d = R[:, 0], R[:, 4]\n", "top = Q[VR_d.argmax()]\n", "under = Q[VR_d < 1][0]\n", "print(f\"highest VR: {VR_d.max():.3f} at {top} trading days \"\n", " f\"({top / DAYS:.1f} years)\")\n", "print(f\"VR above 1 at every horizon up to {under - 1} trading days \"\n", " f\"({(under - 1) / DAYS:.1f} years)\")\n", "print(f\"horizons with VR below 1: {np.sum(VR_d < 1)} of {len(Q)}, \"\n", " f\"all from {under} days on: {bool(np.all(VR_d[Q >= under] < 1))}\")\n", "print(f\"robust bands clear of 1: {np.sum(np.abs(VR_d - 1) > 2 * SE_d)} \"\n", " f\"horizons, up to {Q[np.abs(VR_d - 1) > 2 * SE_d].max()} days\")\n", "print(f\"at {Q[-1]} days: VR {VR_d[-1]:.3f} ± {2 * SE_d[-1]:.3f} \"\n", " f\"(two robust standard errors)\")" ] }, { "cell_type": "markdown", "id": "bdb211eb", "metadata": {}, "source": [ "The daily ratio peaks at 1.322 at 386 trading days, about a year and a half, stays above 1 at every horizon up to 1,709 trading days, 6.8 years, and is below 1 at every horizon from 1,710 on. Of the 2,519 horizons, only 2 and 3 days have a robust band that clears 1. Read the long end as a band, not a number: at ten years the estimate is 0.882 ± 0.887, two robust standard errors either way, a band from about zero to about 1.8. Figure 1 draws both." ] }, { "cell_type": "code", "execution_count": 7, "id": "cd9438d4", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:45.747610Z", "iopub.status.busy": "2026-10-21T05:51:45.747532Z", "iopub.status.idle": "2026-10-21T05:51:46.087336Z", "shell.execute_reply": "2026-10-21T05:51:46.086859Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 561, "width": 1220 } }, "output_type": "display_data" } ], "source": [ "#| echo: false\n", "#| fig-cap: The variance ratio VR of the US stock market's log returns against the horizon in trading days (log scale), July 1926 to August 2026. White, from daily returns at every horizon from 2 trading days to 2,520 (ten years); sky blue, its band of ±2 heteroskedasticity-robust standard errors (Lo and MacKinlay's z*, available at every horizon); amber, from monthly returns, placed at 21 trading days a month, with the same ±2 robust bars. The dashed coral line at 1 is the √T rule. Look at the white line above the rule from 2 days to 6.8 years, highest at 1.32 near a year and a half, and at the band widening until, at ten years, it runs from about 0 to 1.8 (0.88 ± 0.89).\n", "import matplotlib.pyplot as plt\n", "TEAL, CORAL, GREY = \"#2a9d8f\", \"#e76f51\", \"#8a94a6\"\n", "SKY, AMBER, BG = \"#8ecae6\", \"#e9c46a\", \"#18191d\"\n", "plt.style.use(\"dark_background\")\n", "plt.rcParams[\"font.size\"] = 12\n", "\n", "def tidy(fig, ax):\n", " ax.set_facecolor(BG)\n", " fig.patch.set_facecolor(BG)\n", " for s in (\"top\", \"right\"):\n", " ax.spines[s].set_visible(False)\n", "\n", "Mq = np.array(list(M.values()))\n", "Rm = np.array([vr(xm, q, DLm) for q in Mq])\n", "fig, ax = plt.subplots(figsize=(12.4, 5.8))\n", "ax.fill_between(Q, VR_d - 2 * SE_d, VR_d + 2 * SE_d, color=SKY, alpha=0.28,\n", " lw=0, label=\"±2 robust standard errors\")\n", "ax.axhline(1, color=CORAL, lw=2.2, ls=\"--\")\n", "ax.text(2.2, 0.93, \"the √T rule: VR = 1\", color=CORAL, fontsize=13,\n", " fontweight=\"bold\", va=\"top\")\n", "ax.plot(Q, VR_d, color=\"white\", lw=2.4, label=\"from daily returns\")\n", "ax.errorbar(21 * Mq, Rm[:, 0], yerr=2 * Rm[:, 4], fmt=\"o\", color=AMBER,\n", " ms=8, capsize=4, lw=1.6, mec=\"white\", mew=1.0,\n", " label=\"from monthly returns\")\n", "k = VR_d.argmax()\n", "ax.annotate(f\"highest: {VR_d[k]:.2f}\\nat {Q[k]} trading days\", (Q[k], VR_d[k]),\n", " xytext=(-40, 46), textcoords=\"offset points\", ha=\"right\",\n", " color=\"white\", fontweight=\"bold\", fontsize=12.5,\n", " arrowprops=dict(arrowstyle=\"-\", color=\"white\", lw=1.2))\n", "ax.annotate(f\"10 years: {VR_d[-1]:.2f} ± {2 * SE_d[-1]:.2f}\",\n", " (Q[-1], VR_d[-1] - 2 * SE_d[-1]), xytext=(1900, -0.13),\n", " textcoords=\"data\", ha=\"right\", va=\"center\", color=SKY,\n", " fontweight=\"bold\", fontsize=12.5,\n", " arrowprops=dict(arrowstyle=\"-\", color=SKY, lw=1.2))\n", "ticks = [2, 5, 21, 63, 252, 504, 1260, 2520]\n", "ax.set_xscale(\"log\")\n", "ax.set_xticks(ticks)\n", "ax.set_xticklabels([\"2 days\", \"week\", \"month\", \"quarter\", \"year\", \"2 years\",\n", " \"5 years\", \"10 years\"])\n", "ax.minorticks_off()\n", "ax.set_xlim(1.7, 3300)\n", "ax.set_ylim(-0.25, 2.05)\n", "ax.set_xlabel(\"horizon (trading days, log scale; 21 a month, 252 a year)\")\n", "ax.set_ylabel(\"variance ratio VR\")\n", "ax.legend(loc=\"upper left\", frameon=False)\n", "tidy(fig, ax)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "51f7340a", "metadata": {}, "source": [ "## The Sign Flipped\n", "\n", "A century mixes several markets. The cell splits it into decades, with the first and last cut by the data (July 1926 to 1929, 2020 to August 2026), and for each prints the first-order autocorrelation $\\rho(1)$, the variance ratio at 5 and at 21 trading days and the robust $z^*$ of each. The last two rows pool the years before and after 2000." ] }, { "cell_type": "code", "execution_count": 8, "id": "484299e0", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:46.088798Z", "iopub.status.busy": "2026-10-21T05:51:46.088636Z", "iopub.status.idle": "2026-10-21T05:51:46.093882Z", "shell.execute_reply": "2026-10-21T05:51:46.093502Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " days rho(1) VR(5) z* VR(21) z*\n", "1926-29 1,037 +0.133 0.961 -0.13 1.260 0.45\n", "1930s 2,988 +0.052 1.094 1.57 1.240 1.82\n", "1940s 2,918 +0.157 1.204 2.64 1.424 2.61\n", "1950s 2,598 +0.127 1.100 1.60 1.250 1.88\n", "1960s 2,489 +0.202 1.374 3.83 1.678 3.68\n", "1970s 2,526 +0.289 1.513 8.42 1.686 4.98\n", "1980s 2,528 +0.131 1.160 1.29 1.239 0.97\n", "1990s 2,528 +0.078 1.102 1.53 1.020 0.14\n", "2000s 2,515 -0.062 0.837 -2.08 0.763 -1.26\n", "2010s 2,516 -0.038 0.921 -1.09 0.737 -1.68\n", "2020-26 1,674 -0.151 0.848 -1.02 0.846 -0.51\n", "\n", "1926-1999 19,612 +0.111 1.152 3.85 1.294 3.58\n", "2000-2026 6,705 -0.081 0.859 -2.37 0.782 -1.67\n" ] } ], "source": [ "#| label: Decade by Decade\n", "def ac1(x): # first-order autocorrelation\n", " e = x - x.mean()\n", " return (e[1:] * e[:-1]).sum() / (e * e).sum()\n", "\n", "spans = [(\"1926-29\", 1926, 1929)]\n", "spans += [(f\"{d}s\", d, d + 9) for d in range(1930, 2020, 10)]\n", "spans += [(\"2020-26\", 2020, 2026), (\"1926-1999\", 1926, 1999),\n", " (\"2000-2026\", 2000, 2026)]\n", "print(f\"{'':<11}{'days':>7}{'rho(1)':>8}{'VR(5)':>8}{'z*':>7}\"\n", " f\"{'VR(21)':>8}{'z*':>7}\")\n", "for name, lo, hi in spans:\n", " g = x[(yr >= lo) & (yr <= hi)]\n", " dl = deltas(g, 21)\n", " v5, v21 = vr(g, 5, dl), vr(g, 21, dl)\n", " print((\"\\n\" if name == \"1926-1999\" else \"\")\n", " + f\"{name:<11}{len(g):>7,}{ac1(g):>+8.3f}{v5[0]:>8.3f}\"\n", " f\"{v5[2]:>7.2f}{v21[0]:>8.3f}{v21[2]:>7.2f}\")" ] }, { "cell_type": "markdown", "id": "45eed4f7", "metadata": {}, "source": [ "Every decade from the 1920s to the 1990s had positive day-to-day autocorrelation, and every one but the first had a weekly ratio above 1. The 1960s and 1970s stand out: $\\rho(1)$ of +0.202 and +0.289, weekly ratios of 1.374 and 1.513, monthly ratios of 1.678 and 1.686, with $z^*$ between 3.68 and 8.42. The 1940s also clear two robust standard errors, at 2.64 and 2.61; the other decades before 2000 point the same way without clearing them, except the weekly ratio of 1926–29, 0.961. Since 2000 every decade's autocorrelation is negative, from −0.038 to −0.151, and every ratio is below 1: weekly 0.837, 0.921 and 0.848, monthly 0.763, 0.737 and 0.846. Decade by decade only the 2000s' weekly ratio clears two robust standard errors ($z^* = -2.08$). Pooled, the difference is plain: before 2000 the weekly ratio was 1.152 ($z^* = 3.85$) and the monthly 1.294 (3.58); since, 0.859 ($-2.37$) and 0.782 ($-1.67$). Before 2000 the square-root rule understated a week's and a month's risk; since 2000 it has overstated them, measurably for the week.\n", "\n", "Why the old index returns followed through is not settled here. One candidate is mechanical: the stocks in an index do not all trade at the close, so a stale price catches up the next day and the index looks correlated even when no stock is. Lo and MacKinlay modelled exactly this in 1990 and found it too small for what they had measured: the largest autocorrelation it implied for a weekly equal-weighted index was 7.5 percent, against the 30 percent they had reported, and in the working-paper version they concluded that the evidence gave \"little support for nonsynchronous-trading as an important source of spurious correlation in the returns of common stock.\" Their index was weekly and equal-weighted, not this daily value-weighted one, so the notebook leaves the cause open.\n", "\n", "The next cell follows the monthly ratio through time, over the ten calendar years ending each month, with its robust band, and counts the windows whose band lies wholly above or wholly below 1." ] }, { "cell_type": "code", "execution_count": 9, "id": "1907c1b3", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:46.094670Z", "iopub.status.busy": "2026-10-21T05:51:46.094597Z", "iopub.status.idle": "2026-10-21T05:51:46.275170Z", "shell.execute_reply": "2026-10-21T05:51:46.274885Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1,083 windows, ending Jun 1936 to Aug 2026\n", "highest VR(21) 1.771, ending Dec 1973; lowest 0.601, ending Sep 2018\n", "band above 1: 398 windows, the last ending Sep 1987; band below 1: 0\n", "VR(21) below 1 in every window ending after Dec 1999\n" ] } ], "source": [ "#| label: Ten Years at a Time\n", "ends = day.groupby(day.index.to_period(\"M\")).tail(1).index # month ends\n", "ends = ends[ends >= day.index[0] + pd.DateOffset(years=10, days=-1)]\n", "roll = []\n", "for end in ends: # the ten calendar years to each end\n", " g = x[(day.index > end - pd.DateOffset(years=10)) & (day.index <= end)]\n", " V, z, zr, se, se_r = vr(g, 21, deltas(g, 21))\n", " roll.append((end, V, se_r))\n", "roll = pd.DataFrame(roll, columns=[\"end\", \"VR\", \"se\"]).set_index(\"end\")\n", "up = roll[\"VR\"] - 2 * roll[\"se\"] > 1 # band wholly above 1\n", "down = roll[\"VR\"] + 2 * roll[\"se\"] < 1 # band wholly below 1\n", "since = roll.index[roll[\"VR\"] >= 1][-1]\n", "print(f\"{len(roll):,} windows, ending {roll.index[0]:%b %Y} to \"\n", " f\"{roll.index[-1]:%b %Y}\")\n", "print(f\"highest VR(21) {roll['VR'].max():.3f}, ending \"\n", " f\"{roll['VR'].idxmax():%b %Y}; lowest {roll['VR'].min():.3f}, \"\n", " f\"ending {roll['VR'].idxmin():%b %Y}\")\n", "print(f\"band above 1: {up.sum()} windows, the last ending \"\n", " f\"{roll.index[up][-1]:%b %Y}; band below 1: {down.sum()}\")\n", "print(f\"VR(21) below 1 in every window ending after {since:%b %Y}\")" ] }, { "cell_type": "markdown", "id": "4775d131", "metadata": {}, "source": [ "Over 1,083 windows the monthly ratio ran from 1.771, in the ten years to December 1973, down to 0.601, in the ten years to September 2018. In 398 windows its band lay wholly above 1, the last of them ending in September 1987; in none did it lie wholly below. The ratio is below 1 in every window ending after December 1999. Figure 2 shows the turn." ] }, { "cell_type": "code", "execution_count": 10, "id": "3619b608", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:46.276200Z", "iopub.status.busy": "2026-10-21T05:51:46.276120Z", "iopub.status.idle": "2026-10-21T05:51:46.409146Z", "shell.execute_reply": "2026-10-21T05:51:46.408845Z" } }, "outputs": [ { "data": { "image/png": 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PkBuuN463bNmqLVvsVys6iZhEXeCsmPz3322aOXO2cf7Wm69r6tRX1aXLeQoPD1NgYKDatGmt8eMf1Pfff62goCCZzWZNfOElrVy1yu6cLWxi0v4nUk9HTMKdOCMerdt9hIWFKSDA34E5Y41jT09Puy/Cs0fC3cXGxthUTFiy9O8SY845p7nN+WEHKvydPub0OSTn7GfW1yEm4Y5qMiadgZiEO3OXeBw6ZLBxnJaWro0bN9kdZxOPDlbrtV5rC5I2UcNcNSY9PDxUv36o4uJ6aerUVzV1yqvGfW+88ZZN9a/SruNqe6S302YGgCp2snqJJHXq2FHh4WFKSUktdfzZZ5+l5s3PNs6DgoLk4+OjwsJCu+Pvv+8etWvXVpI04fmJSk5JqfRaw8LqG8fHjx936DFJVuPq169f+kDARTg7Jsvj6+urG264Xpdf3k/33T9Wixb9VupYYhJ1gTNi0sPDw+aTOddce7UGDugvScrNzdWyZQk6dixRERHhio+PU2hoqDw9PTXm1tGKiIjQ3XffZ/faxCTqgpraJ4OCgnTllVcY5/Pnf1nuY4hJ1AXOjMmHH3lMmZmZuuuuO+Tt7a3hw4Zq+LChduddvWaNXpv2hn7/40+79/v7+ykgIMA4P37iRHlfmiTbmAwjJuHinBGP//yzRSaTSV5eXvLx8VGfPn30q1Wlv9N5enqqb98+NrfVDytZrZo9Eu7u2Wf+T97exW8DHTp0yO5rJ+Fhp6qTZGRkKC8vv9x5c3PzlJmZqXr16kkqufc4az8Ls1rrCQdj8rhVdTJiEjWtpmLSWYhJuDN3iMdGjRrpvvvuMc6/mDmr1AphYeHW8ejYvns8ib9b4TpcKSYnT35FN44YXsacuXrxxVc048OPSh3jynsklcQAuI1ly5YrMzNTkuTn56fx4x8sc/zjjz1a4rbg4CC7Y1u2aKH//a/4jeyEhOWaO7fsljzlCQo6dZ28vDyHHmM9zvrxgKtyZkwWFZm0aNFiPfLI4+p32ZVq1bq9Gjc5W+3ad9KQoSM0c9ZsFRQUSJJCQkL0/nvT1d2qJd7piEnUBc6IyZCQEHl6nvonw8kEsUWLFqt7j3jdPHK0Hn7kMd065g517dbLZv8cOKC/hg0bYvfaxCTqAmfuk2W55pqrjHZZhYWF+nLBV+U+hphEXeDMmLRYLHpuwkRdcMHF+vvvZaXOefjwYf3w/Y9asdJ+BTFJCgq0vUZlYjIwqGTLPMCVOCMe09PTtdIqth4aP9Z4g8GekSNvUuPGjW3nDCrZdoQ9Eu7shhsG65prrjLOX3zpFeO1FGuBlfg9P33s6b/rztrPbGOy/DcFJSmXmISLqMmYdBZiEu7KHeLR09NTb7wxzUhsSUpK0ltvTS91fJBV6/TcSv3dyr8jUXPcISZPWrVqtfpeeGmZCWKnX8fV9kiSxAC4jaysLH344cfG+a2jR+nxxx6Rn5+fzbigoCBNeuUlXXvt1SXm8Pe3325g8uRX5O/vr7y8PD3y6ONnvFbrNRU4WP2hoODUBlHaOgFX4syYvPqa/hp5y2h9/sVM/fPPFmVmZspkMik1NU1Ll/6thx56VAOvG6yU/yr++fv7a+qUSTbJLNaISdQFzojJwMCAEmM2btykW8fcbtPSR5Kys7M19sHx+u23xcZtYx/4n924JCZRFzhznyzLkBtOtSH448+/SsSqPcQk6gJnx+TVV1+ljz7+QOef31tFRUVavWaN5sydp5mzZmvZsgTl5+crNjZWzz77f1q65A916XKe3Xn8/G3XU1DgYEzmn3rxlJiEq3NWPL7+xlvGcceOHfXJxzPUsGFDmzEeHh4aefNNeu7Z/3NoTvZIuKvOnTrplZdfNM4XfvW1vvrqG7tj/a1+zytSxdb6jbvTf9edtZ/ZxmTJNw4ruk6gutR0TDoLMQl35C7x+NRTj+uCPudLksxmsx54YJzS09NLHe/nd+o6hQ7GYz7xCBfgijG5bFmCPvr4E3308Sf67LMv9P33P+rAgQOSpB49uuuvP3/TE48/Kh8fn1LncOU9knaTANzK1GmvK753vHr8VzHof/+7TzfeOFzLl69UamqqGjZsoLi4XgoNLW4R8MMPP+rqq09lHmdlZZeYc9SokerRo7sk6a233ym1d3BF5OfnGxUcfMvYIKz5+p7aLCqS/QzUJGfEpCSlpqaVe+316zfo7nvu19w5MyVJLVq00JVXXK4ffvypxFhiEnVFVcdkfn7JT7i89PIrKioqKnUNz098SZdeeokkqVmzpjr33M5at259iXmJSdQFztonS9O4cWP16tXTOJ83r/xWkxIxibrDWTH55JOP675775ZU/InSB8aO0759+23GNGrUSK+88qIuv6yfYmKiNWvmZ7ryqmu1d+8+m3H5p3261NfXwZj08zWOiUm4A2fE45IlS/XOu+/p7rvulCRdcsnFWrlimVasWKHDh48oMChQPbp3MyqIlZgzO6vEnOyRcEdNmjTRp59+pICA4jeWtmzZqkcffaLU8XlW/+4r642u0/n6lr73OGs/s/43qq+Pb4n7K7pOoDq4Qkw6CzEJd+Mu8Thy5E3G37SSNGXqa/rzryVlPiY//9R1fByMRz/iETXMVWPyq6++sZuo1rt3vF5+aaJatGih+++/Vx06tNfNI0fbbQPrynsklcQAuJXCwkINH36Tvv32e+O2iIgIXXPNVbr55ht1xRWXKzQ0VPn5+Xr22QlauPBrY5zJZDLaGZwUExOtJx4vbluwa9cuvfnm21WyzuzsUy9WOprpaz3O+vGAK6vqmKyoJUuW2rQUuejiC+2OIyZRV1R1TGZn59icZ2VlacmSv8tcw44dO2wSrrt361piDDGJuqK698kbBg8yqvelpKTq118XOfQ4YhJ1hTNicsCAa40EsR07dmrY8JtKJIhJUmJiosaMuUMJCcslSaGhoXp+wrMlxmXn2MZTZWIy57T9G3BFztojJ0x4QS+/PMn4BHZAgL8uuuhC3XTTCA26bqCRILZgwUI9+dQzNo/NSM8oMR97JNxNZGSk5s6ZqUaNIiVJ+/bt14gbRyorq2QS5Ek5lfg9P33s6b/rztrPbGPSr8T99gQQk6hBrhKTzkJMwp24SzwOGHCtXnzheeP8k08+09Spr5X7uOycU/tmQKX+buXfkahe7hKT1pYtS1D/AYO0f39xVbGLLrpQ99x9l92xrrxHkiQGwO3k5OTozrvuUf8BgzRz5mzt2rVLmZmZys3N1a7du/XhRx/rssuu0nvvz1B4eLjxuGPHjpWYa+Lzzxn9vB955HG7/Y0rw7oK0umtDUoTaTUuLS2t9IGAi6nKmKyMJUtPJay0bNnS7hhiEnVJVcZkfn6+cqxeYNi1a7csFku5a9i5a5dxHBUVVeJ+YhJ1SXXuk4MHX28cf/Pttw6XXScmUZdUdUyOHzfWOJ722uvKzc0t9domk0kvv/KqcX7RRRcqMjLSZkxeXr7NHA0bNHDo67KOyVRiEm7CWXvk62+8pd7nX6g335qujRs3KSUlVfn5+Tp8+LC+/fZ7DRt+o+67f6yCggJtHnf4yNESc7FHwp2EhdXX3DkzdfbZZ0mSjh1L1JChI5SUlFTm41JSU43jkJCQEq1f7QkI8DdeU5VK7j3O2s9SrdbawMGYbGi11xKTqE6uFJPOQkzCXbhLPF566SV64/Vp8vLykiQtXPiVnnjyaYcem5piHY+O7bsNI/m7FTXDXWLSntTUNL366hTj/I47xsjDw8POONfdI2k3CcBtrV69RqtXrylzTOvWrYzjDRs2lri/Q4f2kopLNj755ONlzmX94v2DYx/QyJtvkiQlJSXp1jF32IzdvXu3WrUqTlZp3Di2zHlPio2NMY537drt0GMAV1IVMVkZSYmn/mgMDw+zO4aYRF1UVTG5a9duderUUZLjn17Jtvq0T3BwcIn7iUnURc7eJ7t376bmzc82zh1tNSkRk6ibqiImG8fG2nxI4e+/E8q97po1a5Wbm6uAgAB5enqqY8cOWrz4d5sxu3bvVscOHYqv8V/Vo/IQk3BnztgjDx06pBdffFkvljVnq1NzpqSk6MCBAyXGsEfCXQQHB2v2rC/Upk1rSVJycrKGDh2hgwcPlvtY60rQUvHv+um3nS421jYe7I13xn62e/ceXXLJxcY6q2JOwBlcMSadgZiEO3CXeOzdO17vv/eO0W7u519+1f8eGOfQB3ZPv07jWEfj8dS4XVYf+gWcyV1isix/LVlqHDdo0EDNm59dYl5X3iOpJAagVutm1eJq9Zq1pY7z9/dX165dyvzPOhv5rLOaGbefTDSztnPnqT+m7N1/Oi8vL7Vt28bu44HaxNGYrIjAwADjODfHfklkYhKwz5GY3LZtu3EcFBTk0LxBVolhGZkl2/YQk4B9Z7JPDrlhsHG8Y8fOCiWZEZOAfeXFZFS0bbVM60+JlsZisSgtLd04DwmpV2JMRWOyUaNGNh9q2rlzZ7mPAdyNM/4t2a37qTnXrF1ndwx7JNxBQECAZn7xqTp37iRJSk9P14gRI7XDwf0gMzNTx44lGueO/K537NjBOD5y5KjdtkDO2M+s5+zowJzF406tdSdvgKMauGpMOgMxCVfnLvHYvXs3ffrJhwoIKG41t2Tp37rzzntkMpkcWqck7dx16mtq27aNUY2sLJ2s1srfragO7hKT5UlPT7c5DwsrWcDClfdIksQA1FrNmjXTued2liQVFhbq66+/rbZrL0tYbhx37dpFPj4+ZY4/99zOCgwsbnOQm5unNVX0gifgSpwVkx2s/mg6dsx+KVpiEijJ0Zj8++9lxvE55zS3Wzr5dC1btDCOj9hp20NMAiWdyT7p5+ena6652jifN9/xKmISMQnY40hM5uXl2ZzXr1+/3Hk9PDwUGhpinKenl0ymTlh2Kibj43uVO2dcXE/j+NChQ9q3b3+5jwHciTP+Lenh4aFrrfbOL79caHcceyRcnZ+fnz795CP16NFdUnEb15tHjtamzZsrNE9Cwql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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 540, "width": 1220 } }, "output_type": "display_data" } ], "source": [ "#| echo: false\n", "#| fig-cap: A month's variance ratio, VR(21) from daily returns, over the ten calendar years ending each month from June 1936 to August 2026 (white), with its band of ±2 heteroskedasticity-robust standard errors (sky blue); the dashed coral line at 1 is the √T rule. Each point covers the ten years before its date. Look at the white line, above the rule in every window until the one ending in December 1999 and below it in every window since; the band last cleared 1 from above in the window ending September 1987, and has never cleared it from below.\n", "fig, ax = plt.subplots(figsize=(12.4, 5.6))\n", "t = roll.index\n", "ax.fill_between(t, roll[\"VR\"] - 2 * roll[\"se\"], roll[\"VR\"] + 2 * roll[\"se\"],\n", " color=SKY, alpha=0.28, lw=0)\n", "ax.axhline(1, color=CORAL, lw=2.2, ls=\"--\")\n", "ax.plot(t, roll[\"VR\"], color=\"white\", lw=2.4)\n", "ax.text(pd.Timestamp(\"2003-01-01\"), 1.03, \"the √T rule\", color=CORAL,\n", " fontsize=13, fontweight=\"bold\", va=\"bottom\")\n", "for when, off in ((roll[\"VR\"].idxmax(), (-12, 14)),\n", " (roll[\"VR\"].idxmin(), (-12, -40))):\n", " v = roll.loc[when, \"VR\"]\n", " ax.plot(when, v, \"o\", color=AMBER, ms=11, mec=\"white\", mew=1.5, zorder=5)\n", " ax.annotate(f\"{v:.2f}, ten years to {when:%b %Y}\", (when, v), xytext=off,\n", " textcoords=\"offset points\", ha=\"right\", color=AMBER,\n", " fontweight=\"bold\", fontsize=12.5)\n", "ax.set_ylim(0.1, 2.45)\n", "ax.set_xlabel(\"end of the ten-year window\")\n", "ax.set_ylabel(\"VR(21), a month's variance ratio\")\n", "tidy(fig, ax)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d5ed8a3a", "metadata": {}, "source": [ "## Basel's Square Root of Ten\n", "\n", "The 1996 amendment states its standard in two lines: \"In calculating the value-at-risk, a 99th percentile, one-tailed confidence interval is to be used\", and \"the minimum ‘holding period’ will be ten trading days.\" The cell measures the shortcut in those terms. The one-day loss is the 1% quantile of the daily log returns, sign reversed; the rule multiplies it by $\\sqrt{10}$; the actual ten-day loss is the 1% quantile of every overlapping ten-day log return. It does this over the century and in three spans of about 37, 37 and 27 years, and prints beside each $\\sqrt{\\mathrm{VR}(10)}$, the ratio the correlation alone would give if the shape of the tails stayed the same. A last line repeats the century at the 99.9th percentile." ] }, { "cell_type": "code", "execution_count": 11, "id": "6b424597", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:46.411583Z", "iopub.status.busy": "2026-10-21T05:51:46.411401Z", "iopub.status.idle": "2026-10-21T05:51:46.417254Z", "shell.execute_reply": "2026-10-21T05:51:46.416979Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "99% 1 day x root 10 10 days actual/rule root VR(10)\n", "1926-2026 3.12% 9.86% 10.66% 1.082 1.031\n", "1926-1962 3.55% 11.24% 12.60% 1.121 1.073\n", "1963-1999 2.16% 6.84% 7.65% 1.118 1.139\n", "2000-2026 3.46% 10.94% 10.67% 0.975 0.892\n", "\n", "99.9%, 1926-2026: 22.75% against 21.57%, 1.055\n" ] } ], "source": [ "#| label: Basel's Square Root of Ten\n", "def losses(g, p): # the loss at probability p\n", " c = np.r_[0.0, np.cumsum(g)]\n", " ten = c[10:] - c[:-10] # every overlapping 10-day return\n", " one = -np.quantile(g, p)\n", " return one, np.sqrt(10) * one, -np.quantile(ten, p)\n", "\n", "SPANS = {\"1926-2026\": (1926, 2026), \"1926-1962\": (1926, 1962),\n", " \"1963-1999\": (1963, 1999), \"2000-2026\": (2000, 2026)}\n", "print(f\"{'99%':<11}{'1 day':>8}{'x root 10':>11}{'10 days':>9}\"\n", " f\"{'actual/rule':>13}{'root VR(10)':>13}\")\n", "basel = {}\n", "for name, (lo, hi) in SPANS.items():\n", " g = x[(yr >= lo) & (yr <= hi)]\n", " one, rule10, ten = losses(g, 0.01)\n", " basel[name] = (ten / rule10, np.sqrt(vr(g, 10, deltas(g, 10))[0]))\n", " print(f\"{name:<11}{one:>8.2%}{rule10:>11.2%}{ten:>9.2%}\"\n", " f\"{basel[name][0]:>13.3f}{basel[name][1]:>13.3f}\")\n", "_, rule10, ten = losses(x, 0.001)\n", "print(f\"\\n99.9%, 1926-2026: {ten:.2%} against {rule10:.2%}, {ten / rule10:.3f}\")" ] }, { "cell_type": "markdown", "id": "c77872d4", "metadata": {}, "source": [ "Over the century the market's one-day loss at 99% was 3.12%; $\\sqrt{10}$ times it is 9.86%, while the actual ten-day loss was 10.66%, 1.082 times the rule's number. At 99.9% the actual was 22.75% against the rule's 21.57%, 1.055 times. The actual ten-day loss exceeded the rule's number by 12.1% in 1926–1962 and by 11.8% in 1963–1999. Since 2000 it has run the other way: a ten-day loss of 10.67% against the rule's 10.94%, a ratio of 0.975. The correlation points the same way in every span, $\\sqrt{\\mathrm{VR}(10)}$ of 1.031, 1.073, 1.139 and 0.892, but it does not set the size: in the far tail the ten-day returns have a shape of their own. Figure 3 sets the four side by side." ] }, { "cell_type": "code", "execution_count": 12, "id": "792f4c50", "metadata": { "execution": { "iopub.execute_input": "2026-10-21T05:51:46.417974Z", "iopub.status.busy": "2026-10-21T05:51:46.417901Z", "iopub.status.idle": "2026-10-21T05:51:46.518025Z", "shell.execute_reply": "2026-10-21T05:51:46.517647Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 542, "width": 1223 } }, "output_type": "display_data" } ], "source": [ "#| echo: false\n", "#| fig-cap: Basel's √10 rule on the US market. Each bar is the actual 99% loss over ten trading days (every overlapping window of log returns) divided by √10 times the 99% one-day loss, over the century and in three spans; above the white line at 1 the rule's number was too small, below it too large. Amber diamonds, √VR(10), the ratio the day-to-day correlation alone would give. Look at the bars, 1.082 over the century and 1.121 and 1.118 before 2000, then 0.975 for 2000 to 2026; the diamonds point the same way in every span but do not set the size.\n", "names = list(basel)\n", "fig, ax = plt.subplots(figsize=(12.4, 5.6))\n", "ax.axhline(1, color=\"white\", lw=1.6)\n", "for i, n in enumerate(names):\n", " r, root = basel[n]\n", " ax.bar(i, r - 1, bottom=1, width=0.56, color=CORAL if r > 1 else TEAL)\n", " ax.text(i, r - 0.006, f\"{r:.3f}\", ha=\"center\", va=\"top\",\n", " color=\"white\" if r > 1 else TEAL,\n", " fontweight=\"bold\", fontsize=14)\n", " ax.plot(i, root, \"D\", color=AMBER, ms=12, mec=\"white\", mew=1.4,\n", " zorder=5, label=\"√VR(10), the correlation alone\" if i == 0\n", " else None)\n", "ax.text(len(names) - 0.55, 1.004, \"the √10 rule\", color=\"white\",\n", " fontsize=12.5, fontweight=\"bold\", va=\"bottom\", ha=\"right\")\n", "ax.set_xticks(range(len(names)))\n", "ax.set_xticklabels(names)\n", "ax.set_xlim(-0.6, len(names) - 0.4)\n", "ax.set_ylim(0.86, 1.17)\n", "ax.set_ylabel(\"actual 10-day 99% loss / (√10 × 1-day)\")\n", "ax.legend(loc=\"upper right\", frameon=False)\n", "tidy(fig, ax)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1066d783", "metadata": {}, "source": [ "## What the Numbers Show\n", "\n", "The square-root rule assumes that one day's return says nothing about the next, and the US market has not obliged for long in either direction. Before 2000 it followed through: a day's risk scaled by $\\sqrt{T}$ fell short of a week's and a month's, and the actual ten-day loss at 99% was about 12% larger than Basel's $\\sqrt{10}$ gave, in each half of 1926–1999. Since 2000 the days partly undo each other: the weekly and monthly ratios are below 1, and the market's ten-day loss at 99% came in 2.5% below the $\\sqrt{10}$ rule's. Over the whole century the two eras average out to a rule that understated risk out to 6.8 years, but only the shortest horizons are measured precisely. At ten years a century of data cannot tell mean reversion from the square-root rule.\n", "\n", "The variance ratio tests only one of the rule's assumptions. Francis Diebold, Andrew Hickman, Atsushi Inoue and Til Schuermann showed in 1997 that converting a one-day volatility estimate to $h$ days by scaling by $\\sqrt{h}$ \"produces overestimates of the variability of long-horizon volatility\". Jón Daníelsson and Jean-Pierre Zigrand showed in 2006 that when returns can jump, the rule understates the quantile, the more so the longer the horizon, the more frequent the jumps and the higher the confidence level.\n", "\n", "The one action the numbers support is a measurement. Before multiplying a daily number by $\\sqrt{T}$, compute the variance ratio at that horizon over the years being used: $\\sqrt{\\mathrm{VR}}$ is the factor by which the rule is off. Over the century it is 1.124 for a year. For a month the ratio was 1.294 before 2000 and is 0.782 since: the same multiplication was too small then and is too large now. These are one market's hundred years, and none of it is a forecast." ] }, { "cell_type": "markdown", "id": "09b9dc11", "metadata": {}, "source": [ "## Sources\n", "\n", "1. A. W. Lo and A. C. MacKinlay, \"Stock Market Prices Do Not Follow Random Walks: Evidence from a Simple Specification Test\", *The Review of Financial Studies* 1 (1988) 41–66, [doi:10.1093/rfs/1.1.41](https://doi.org/10.1093/rfs/1.1.41). The estimator and its two statistics are read in the working paper, [NBER Working Paper 2168](https://www.nber.org/papers/w2168) (February 1987).\n", "2. A. W. Lo and A. C. MacKinlay, \"An econometric analysis of nonsynchronous trading\", *Journal of Econometrics* 45 (1990) 181–211, [doi:10.1016/0304-4076(90)90098-E](https://doi.org/10.1016/0304-4076%2890%2990098-E). The 7.5 and 30 percent and the quoted conclusion are read in the working paper, [NBER Working Paper 2960](https://www.nber.org/papers/w2960) (May 1989).\n", "3. J. M. Poterba and L. H. Summers, \"Mean reversion in stock prices: Evidence and Implications\", *Journal of Financial Economics* 22 (1988) 27–59, [doi:10.1016/0304-405X(88)90021-9](https://doi.org/10.1016/0304-405X%2888%2990021-9); the quoted words are from the abstract of the working paper, [NBER Working Paper 2343](https://www.nber.org/papers/w2343) (1987).\n", "4. E. F. Fama and K. R. French, \"Permanent and Temporary Components of Stock Prices\", *Journal of Political Economy* 96 (1988) 246–273, [doi:10.1086/261535](https://doi.org/10.1086/261535).\n", "5. Basle Committee on Banking Supervision, [*Amendment to the Capital Accord to incorporate market risks*](https://www.bis.org/publ/bcbs24.htm), January 1996: Part B, section B.4, Quantitative standards, (b) and (c).\n", "6. F. X. Diebold, A. Hickman, A. Inoue and T. Schuermann, \"Converting 1-Day Volatility to h-Day Volatility: Scaling by √h is Worse than You Think\", Wharton Financial Institutions Center Working Paper 97-34 (1997), [RePEc](https://ideas.repec.org/p/wop/pennin/97-34.html); condensed as \"Scale Models\", *Risk* 11 (1998) 104–107.\n", "7. J. Daníelsson and J.-P. Zigrand, \"On time-scaling of risk and the square-root-of-time rule\", *Journal of Banking & Finance* 30 (2006) 2701–2713, [doi:10.1016/j.jbankfin.2005.10.002](https://doi.org/10.1016/j.jbankfin.2005.10.002).\n", "8. K. R. French, [Data Library](https://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library.html): the Fama/French 3 Factors, daily and monthly, built from the CRSP database of August 2026.\n", "\n", "*Every number in this notebook is computed by its own cells from the two data files.*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }