{ "cells": [ { "cell_type": "markdown", "id": "0aa1fc1b", "metadata": {}, "source": [ "# The Bet Samuelson's Colleague Refused\n", "\n", "A few years before 1963, Paul Samuelson offered some colleagues at lunch a bet on a coin: call a side, and if it came up he would pay \\$200; if it did not, they would pay him \\$100. One of them, in Samuelson's words a \"distinguished scholar\" who \"lays no claim to advanced mathematical skills,\" turned it down: \"I won't bet because I would feel the \\$100 loss more than the \\$200 gain. But I'll take you on if you promise to let me make 100 such bets.\" Samuelson wrote the exchange up in 1963 as \"Risk and Uncertainty: A Fallacy of Large Numbers\", with a theorem attached: a man who maximizes expected utility and would never take the single bet can never rationally take a long run of them.\n", "\n", "Twenty-two years later Rajnish Mehra and Edward Prescott found the same reluctance written across the stock market. Over the ninety years from 1889 to 1978, they reported, the S&P 500 had returned \"seven percent\" a year after inflation and short-term debt \"less than one percent\"; the economies they modelled could pay \"a maximum of four-tenths of a percent\" more for holding stocks, \"in sharp contrast to the six percent premium observed.\" Standard theory could not say why investors had been paid so much to hold stocks, and the question became the equity premium puzzle.\n", "\n", "In 1995 Shlomo Benartzi and Richard Thaler joined the two stories. People feel a loss more than a gain of the same size; Amos Tversky and Daniel Kahneman had measured the ratio, λ, at a median of 2.25. And people look at their investments often, even when they invest for decades. Benartzi and Thaler called the pair myopic loss aversion and found that the size of the premium fits \"if investors evaluate their portfolios annually.\" Looked at once a year, stocks feel barely better than bonds, and the premium is the price of the pain of looking. Samuelson's colleague had a point, and it was about how often he would have to watch the coin land.\n", "\n", "This notebook measures that point on 24,804 trading days of the S&P 500 with dividends, from January 1928 to October 2026: how often a look at the account shows a loss, from a look every day to one every twenty years; how a loss-averse investor feels each look; and, in closed form, how long the looks must be spaced before stocks feel like a gain at all. One cell takes your own λ." ] }, { "cell_type": "markdown", "id": "41ba7abe", "metadata": {}, "source": [ "## Ninety-Eight Years of Trading Days\n", "\n", "The file holds one row per trading day: the day's total return, which is the change in the S&P 500's closing price plus one trading day's share of the year's dividend from Robert Shiller's monthly series, and Shiller's consumer price index for the month, used once, at the end. The closes are Yahoo Finance prices from a public-domain Kaggle dataset." ] }, { "cell_type": "code", "execution_count": 1, "id": "c87be2aa", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:36.114552Z", "iopub.status.busy": "2026-10-10T10:05:36.114468Z", "iopub.status.idle": "2026-10-10T10:05:36.272354Z", "shell.execute_reply": "2026-10-10T10:05:36.271788Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "24,804 trading days, 03 Jan 1928 to 01 Oct 2026\n", "days that lost money: 46.0%\n", "a day: median log return 0.00063, mean 0.00039\n", "one dollar, dividends reinvested, became 14,790\n", "a year: mean log return 0.0975, spread 0.1893, mean return 0.1155\n" ] } ], "source": [ "#| label: Ninety-Eight Years of Trading Days\n", "import numpy as np\n", "import pandas as pd\n", "\n", "df = pd.read_csv(\"data/sp500_total_return_daily.csv\", index_col=\"date\",\n", " parse_dates=True)\n", "r = df[\"total_return\"].to_numpy() # simple daily return, dividends in\n", "lg = np.log1p(r) # daily log return\n", "L = np.r_[0.0, np.cumsum(lg)] # log wealth, one entry per close\n", "DAYS = 252 # trading days in a year\n", "mu, sigma = lg.mean() * DAYS, lg.std() * np.sqrt(DAYS)\n", "m = mu + sigma**2 / 2 # mean simple return over a year\n", "print(f\"{len(r):,} trading days, {df.index[0]:%d %b %Y} to \"\n", " f\"{df.index[-1]:%d %b %Y}\")\n", "print(f\"days that lost money: {np.mean(r < 0):.1%}\")\n", "print(f\"a day: median log return {np.median(lg):.5f}, mean {lg.mean():.5f}\")\n", "print(f\"one dollar, dividends reinvested, became {np.exp(L[-1]):,.0f}\")\n", "print(f\"a year: mean log return {mu:.4f}, spread {sigma:.4f}, \"\n", " f\"mean return {m:.4f}\")" ] }, { "cell_type": "markdown", "id": "3c95c0df", "metadata": {}, "source": [ "The market lost money on 46.0% of its days, and a dollar invested in January 1928 with every dividend reinvested became 14,790. Both are true at once: a single day is close to a coin toss, and the coin is slightly bent. A year of it has a mean log return of 0.0975, a spread of 0.1893 and a mean return of 0.1155, or 11.55%." ] }, { "cell_type": "markdown", "id": "56f4c7fa", "metadata": {}, "source": [ "## How Often a Look Shows a Loss\n", "\n", "Look at the account every $h$ trading days. Every window of $h$ consecutive days in the 98 years is one possible look, starting on any day, so the windows overlap; the share of windows that ended below where they began is the chance that a look shows a loss. If daily log returns were independent and normal, with mean $\\mu$ and spread $\\sigma$ a year, the log return over $T$ years would be normal with mean $\\mu T$ and spread $\\sigma\\sqrt{T}$, and\n", "\n", "$$\\Pr(\\text{loss over } T) = \\Phi\\!\\left(-\\frac{\\mu}{\\sigma}\\sqrt{T}\\right)$$\n", "\n", "where $\\Phi$ is the normal distribution function." ] }, { "cell_type": "code", "execution_count": 2, "id": "db4c98a1", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:36.273468Z", "iopub.status.busy": "2026-10-10T10:05:36.273368Z", "iopub.status.idle": "2026-10-10T10:05:36.620397Z", "shell.execute_reply": "2026-10-10T10:05:36.619848Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "look every measured normal formula\n", "day 46.0% 48.7%\n", "week 42.1% 47.1%\n", "month 37.2% 44.1%\n", "quarter 31.9% 39.8%\n", "half-year 28.4% 35.8%\n", "year 24.7% 30.3%\n", "5 years 10.5% 12.5%\n", "10 years 4.6% 5.2%\n", "20 years 0.0% 1.1%\n" ] } ], "source": [ "#| label: How Often a Look Shows a Loss\n", "from scipy.stats import norm\n", "\n", "LOOKS = {\"day\": 1, \"week\": 5, \"month\": 21, \"quarter\": 63,\n", " \"half-year\": 126, \"year\": 252, \"5 years\": 1260,\n", " \"10 years\": 2520, \"20 years\": 5040}\n", "\n", "def returns_over(h): # every window of h trading days\n", " return np.expm1(L[h:] - L[:-h])\n", "\n", "print(f\"{'look every':<11}{'measured':>10}{'normal formula':>16}\")\n", "for name, h in LOOKS.items():\n", " lost = np.mean(returns_over(h) < 0)\n", " formula = norm.cdf(-mu / sigma * np.sqrt(h / DAYS))\n", " print(f\"{name:<11}{lost:>10.1%}{formula:>16.1%}\")" ] }, { "cell_type": "markdown", "id": "47c063b3", "metadata": {}, "source": [ "A look every day shows a loss 46.0% of the time, every month 37.2%, every year 24.7% and every ten years 4.6%. No 20-year window since 1928 ended below its start, but the windows overlap: fewer than five separate 20-year spans fit in 98 years, so that 0.0% rests on a handful of independent stretches. The normal formula has the right shape and sits above the measured share at every interval, from 48.7% against 46.0% for a day to 1.1% against none for twenty years. Real daily returns are not normal: their median log return, 0.00063 a day, is above their mean, 0.00039, because a few large falls pull the mean down, so small gains are more common than the formula expects. Figure 1 shows both." ] }, { "cell_type": "code", "execution_count": 3, "id": "8f0d0a71", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:36.622386Z", "iopub.status.busy": "2026-10-10T10:05:36.622219Z", "iopub.status.idle": "2026-10-10T10:05:36.950011Z", "shell.execute_reply": "2026-10-10T10:05:36.949590Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 520, "width": 1209 } }, "output_type": "display_data" } ], "source": [ "#| echo: false\n", "#| fig-cap: The share of looks at the account that show a loss, against the interval between looks (log scale), for the S&P 500 with dividends, January 1928 to October 2026. Coral dots, the share of all windows of that length that ended below their start; teal line, the normal formula with the market's own mean and spread. The day, month, year and ten-year looks are labelled.\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", "grid = np.unique(np.geomspace(1, 5040, 60).round().astype(int))\n", "meas = [np.mean(returns_over(h) < 0) * 100 for h in grid]\n", "fine = np.geomspace(1, 5040, 400)\n", "form = norm.cdf(-mu / sigma * np.sqrt(fine / DAYS)) * 100\n", "fig, ax = plt.subplots(figsize=(12.4, 5.4))\n", "ax.plot(fine, form, color=TEAL, lw=2.4, label=\"normal formula\")\n", "ax.plot(grid, meas, \"o\", color=CORAL, ms=5,\n", " label=\"measured, every window since 1928\")\n", "for name, dx, dy, ha in ((\"day\", 14, 6, \"left\"), (\"month\", 12, 10, \"left\"),\n", " (\"year\", -14, -30, \"right\"),\n", " (\"10 years\", 12, 10, \"left\")):\n", " h = LOOKS[name]\n", " p = np.mean(returns_over(h) < 0) * 100\n", " ax.plot(h, p, \"o\", color=CORAL, ms=11, mec=\"white\", mew=1.6, zorder=5)\n", " ax.annotate(f\"{name}: {p:.1f}%\", (h, p), xytext=(dx, dy), ha=ha,\n", " textcoords=\"offset points\", color=\"white\",\n", " fontweight=\"bold\", fontsize=12.5)\n", "ax.set_xscale(\"log\")\n", "ticks = [1, 5, 21, 63, 252, 1260, 2520, 5040]\n", "ax.set_xticks(ticks)\n", "ax.set_xticklabels([\"day\", \"week\", \"month\", \"quarter\", \"year\", \"5 years\",\n", " \"10 years\", \"20 years\"])\n", "ax.minorticks_off()\n", "ax.set_xlim(0.8, 6500)\n", "ax.set_ylim(0, 54)\n", "ax.set_xlabel(\"interval between looks (trading days, log scale)\")\n", "ax.set_ylabel(\"looks that show a loss (%)\")\n", "ax.legend(loc=\"lower left\", frameon=False)\n", "tidy(fig, ax)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4023ebef", "metadata": {}, "source": [ "## How a Loss Feels\n", "\n", "Tversky and Kahneman had 25 graduate students from Berkeley and Stanford choose, gamble after gamble, between a risky prospect and a series of sure amounts, and fitted a value function to each student's choices. \"The median λ was 2.25, indicating pronounced loss aversion.\" Score the return $R$ of each look the way such an investor feels it, with a loss weighted $\\lambda$ times a gain of the same size,\n", "\n", "$$v(R) = \\max(R, 0) + \\lambda\\,\\min(R, 0)$$\n", "\n", "and average it over every window. A positive average means the looks, taken together, feel like gains; a negative one means the losses outweigh them even though the money grew. Tversky and Kahneman also bent the value function, raising each gain and loss to a power α, whose median \"was 0.88 for both gains and losses\"; the last column below is that version, as a check." ] }, { "cell_type": "code", "execution_count": 4, "id": "ff253072", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:36.951527Z", "iopub.status.busy": "2026-10-10T10:05:36.951361Z", "iopub.status.idle": "2026-10-10T10:05:36.955411Z", "shell.execute_reply": "2026-10-10T10:05:36.955045Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "look every felt with alpha 0.88\n", "day -0.0040 -0.0068\n", "week -0.0076 -0.0115\n", "month -0.0085 -0.0115\n", "quarter +0.0022 +0.0032\n", "half-year +0.0242 +0.0296\n", "year +0.0783 +0.0889\n" ] } ], "source": [ "#| label: How a Loss Feels\n", "LAM, ALPHA = 2.25, 0.88\n", "\n", "def felt(R, lam=LAM): # loss aversion, straight lines\n", " return np.where(R >= 0, R, lam * R).mean()\n", "\n", "def felt_bent(R, lam=LAM, a=ALPHA): # with the curvature alpha\n", " return np.where(R >= 0, np.abs(R)**a, -lam * np.abs(R)**a).mean()\n", "\n", "print(f\"{'look every':<11}{'felt':>9}{'with alpha 0.88':>17}\")\n", "for name in (\"day\", \"week\", \"month\", \"quarter\", \"half-year\", \"year\"):\n", " R = returns_over(LOOKS[name])\n", " print(f\"{name:<11}{felt(R):>+9.4f}{felt_bent(R):>+17.4f}\")" ] }, { "cell_type": "markdown", "id": "b236a8d7", "metadata": {}, "source": [ "Looked at every day, every week or every month, stocks feel like a loss: −0.0040, −0.0076, −0.0085. The feeling gets worse from a day to a month before it gets better, because the size of a typical loss grows with the square root of the interval while the drift grows in proportion to it, and at first the square root wins. Looked at every quarter, stocks feel like a small gain, +0.0022; every year, +0.0783. The curvature changes the numbers but not the sign of any of them." ] }, { "cell_type": "markdown", "id": "440fcd3a", "metadata": {}, "source": [ "## The Break-Even\n", "\n", "Somewhere between a month and a quarter the average feeling crosses zero. Since $\\max(R,0) = R - \\min(R,0)$, the felt value is the plain return plus an extra weight on the losses alone,\n", "\n", "$$\\mathbb{E}[v] = \\mathbb{E}[R] + (\\lambda - 1)\\,\\mathbb{E}\\big[R\\,\\mathbf{1}_{R<0}\\big]$$\n", "\n", "so two averages per interval, computed once, give the felt value for any $\\lambda$." ] }, { "cell_type": "code", "execution_count": 5, "id": "0cd8af8f", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:36.956398Z", "iopub.status.busy": "2026-10-10T10:05:36.956314Z", "iopub.status.idle": "2026-10-10T10:05:37.093175Z", "shell.execute_reply": "2026-10-10T10:05:37.092731Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "measured break-even, lambda 2.25: 56 trading days (11.2 weeks)\n", "with alpha 0.88: 55 trading days\n" ] } ], "source": [ "#| label: The Break-Even\n", "H = np.arange(1, 1261) # every interval up to five years\n", "ER = np.array([returns_over(h).mean() for h in H])\n", "EN = np.array([np.minimum(returns_over(h), 0).mean() for h in H])\n", "\n", "def measured_break_even(lam): # the interval after which the\n", " v = ER + (lam - 1) * EN # felt value stays above zero\n", " neg = np.flatnonzero(v < 0)\n", " if neg.size == 0:\n", " return 1\n", " return H[neg[-1]] + 1 if neg[-1] + 1 < H.size else np.nan\n", "\n", "bent = np.array([felt_bent(returns_over(h)) for h in H[:252]])\n", "T_meas = measured_break_even(LAM)\n", "print(f\"measured break-even, lambda {LAM}: {T_meas} trading days \"\n", " f\"({T_meas / 5:.1f} weeks)\")\n", "print(f\"with alpha {ALPHA}: {np.flatnonzero(bent < 0)[-1] + 2} trading days\")" ] }, { "cell_type": "markdown", "id": "bfbf7869", "metadata": {}, "source": [ "A loss-averse investor with λ = 2.25 feels the S&P 500 as a loss when he looks more often than every 56 trading days, about eleven weeks, and as a gain when he looks less often. The curved value function moves the crossing by one day, to 55." ] }, { "cell_type": "markdown", "id": "2e4533b2", "metadata": {}, "source": [ "## The Break-Even in Closed Form\n", "\n", "Suppose the return over $T$ years is normal with mean $mT$ and spread $\\sigma\\sqrt{T}$, where $m$ is the mean yearly return, and write $z = mT/(\\sigma\\sqrt{T})$ for the mean measured in spreads. The normal partial expectation gives the average of the losses alone, and with it the felt value:\n", "\n", "$$\\begin{gathered} \\mathbb{E}\\big[R\\,\\mathbf{1}_{R<0}\\big] = mT\\,\\Phi(-z) - \\sigma\\sqrt{T}\\,\\varphi(z) \\\\[4pt] \\mathbb{E}[v] = \\sigma\\sqrt{T}\\,\\Big[z + (\\lambda-1)\\big(z\\,\\Phi(-z) - \\varphi(z)\\big)\\Big] \\end{gathered}$$\n", "\n", "with $\\varphi$ the normal density. The bracket depends on $z$ and $\\lambda$ alone; it is negative at $z = 0$ and rises through zero at a single value $z^*$. With $S = m/\\sigma$, the ratio of the market's mean return to its spread, $z = S\\sqrt{T}$, and the felt value crosses zero at\n", "\n", "$$\\begin{gathered} z^* + (\\lambda-1)\\big(z^*\\,\\Phi(-z^*) - \\varphi(z^*)\\big) = 0 \\\\[4pt] T^* = \\left(\\frac{z^*}{S}\\right)^2 \\end{gathered}$$\n", "\n", "The investor enters only through $z^*$, the market only through $S$." ] }, { "cell_type": "code", "execution_count": 6, "id": "eb956eb8", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:37.094406Z", "iopub.status.busy": "2026-10-10T10:05:37.094312Z", "iopub.status.idle": "2026-10-10T10:05:37.097310Z", "shell.execute_reply": "2026-10-10T10:05:37.096983Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z* = 0.3227, S = 0.1155 / 0.1893 = 0.610\n", "closed form: 0.280 years = 71 trading days\n", "measured: 0.222 years = 56 trading days\n" ] } ], "source": [ "#| label: The Break-Even in Closed Form\n", "from scipy.optimize import brentq\n", "\n", "def z_star(lam): # the root of the bracket, lam >= 1\n", " g = lambda z: z + (lam - 1) * (z * norm.cdf(-z) - norm.pdf(z))\n", " return brentq(g, 0.0, 10.0)\n", "\n", "S = m / sigma\n", "zs = z_star(LAM)\n", "T_cf = (zs / S) ** 2\n", "print(f\"z* = {zs:.4f}, S = {m:.4f} / {sigma:.4f} = {S:.3f}\")\n", "print(f\"closed form: {T_cf:.3f} years = {T_cf * DAYS:.0f} trading days\")\n", "print(f\"measured: {T_meas / DAYS:.3f} years = {T_meas} trading days\")" ] }, { "cell_type": "markdown", "id": "d1008de3", "metadata": {}, "source": [ "For λ = 2.25, $z^* = 0.3227$. With the market's $S = 0.610$, the closed form puts the break-even at 0.280 years, 71 trading days; the data put it at 56. The gap is what the normal curve leaves out of the real market, its fat tails and its skew. Figure 2 shows the two curves side by side, and they share their shape: down first, then up through zero." ] }, { "cell_type": "code", "execution_count": 7, "id": "066c83f2", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:37.098206Z", "iopub.status.busy": "2026-10-10T10:05:37.098123Z", "iopub.status.idle": "2026-10-10T10:05:37.227830Z", "shell.execute_reply": "2026-10-10T10:05:37.227402Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 520, "width": 1222 } }, "output_type": "display_data" } ], "source": [ "#| echo: false\n", "#| fig-cap: How a loss-averse investor with λ = 2.25 feels the S&P 500 on average, against the interval between looks. White, measured over every window since January 1928; teal dashed, the normal closed form with the market's own mean and spread. The felt value crosses zero after 56 trading days in the data (sky blue) and after 71 in the closed form (amber).\n", "hh = np.arange(1, 253)\n", "v_meas = ER[:252] + (LAM - 1) * EN[:252]\n", "Ty = hh / DAYS\n", "z = S * np.sqrt(Ty)\n", "v_cf = sigma * np.sqrt(Ty) * (z + (LAM - 1) * (z * norm.cdf(-z)\n", " - norm.pdf(z)))\n", "fig, ax = plt.subplots(figsize=(12.4, 5.4))\n", "ax.axhline(0, color=GREY, lw=1.3)\n", "ax.plot(hh, v_cf, color=TEAL, lw=2.4, ls=\"--\",\n", " label=\"normal closed form\")\n", "ax.plot(hh, v_meas, color=\"white\", lw=2.4,\n", " label=\"measured, every window since 1928\")\n", "top = max(v_meas.max(), v_cf.max())\n", "ax.axvline(T_meas, color=SKY, lw=3.4)\n", "ax.axvline(T_cf * DAYS, color=AMBER, lw=3.4)\n", "ax.text(T_meas - 3, 0.93 * top, f\"measured: {T_meas} days\", color=SKY,\n", " fontweight=\"bold\", ha=\"right\", fontsize=13)\n", "ax.text(T_cf * DAYS + 3, 0.93 * top, f\"closed form: {T_cf * DAYS:.0f} days\",\n", " color=AMBER, fontweight=\"bold\", ha=\"left\", fontsize=13)\n", "ax.set_xlim(0, 253)\n", "ax.set_xticks([1, 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252])\n", "ax.set_xlabel(\"interval between looks (trading days; 21 is about a month, \"\n", " \"252 a year)\")\n", "ax.set_ylabel(\"average felt value of a look\")\n", "ax.legend(loc=\"lower right\", frameon=False)\n", "tidy(fig, ax)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "003df758", "metadata": {}, "source": [ "## Your Own λ\n", "\n", "Tversky and Kahneman's 2.25 is a median of 25 students. Put your own value in the first line and run the cell; it gives $z^*$, the closed-form break-even and the measured one, and the same three for five values of λ (any λ of at least 1)." ] }, { "cell_type": "code", "execution_count": 8, "id": "27e42ed1", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:37.229067Z", "iopub.status.busy": "2026-10-10T10:05:37.228980Z", "iopub.status.idle": "2026-10-10T10:05:37.234535Z", "shell.execute_reply": "2026-10-10T10:05:37.234223Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lambda 2.25: z* = 0.3227, break-even 71 trading days in closed form, 56 measured\n", "\n", " lambda z* closed form measured\n", " 1.50 0.1617 18 13\n", " 2.00 0.2760 52 40\n", " 2.25 0.3227 71 56\n", " 2.50 0.3644 90 74\n", " 3.00 0.4363 129 115\n" ] } ], "source": [ "#| label: Your Own Lambda\n", "LAMBDA = 2.25 # how much worse a loss feels than an equal gain\n", "\n", "zs = z_star(LAMBDA)\n", "print(f\"lambda {LAMBDA}: z* = {zs:.4f}, break-even \"\n", " f\"{(zs / S) ** 2 * DAYS:.0f} trading days in closed form, \"\n", " f\"{measured_break_even(LAMBDA)} measured\")\n", "print()\n", "print(f\"{'lambda':>7}{'z*':>9}{'closed form':>13}{'measured':>10}\")\n", "for lam in (1.5, 2.0, 2.25, 2.5, 3.0):\n", " z = z_star(lam)\n", " print(f\"{lam:>7.2f}{z:>9.4f}{(z / S) ** 2 * DAYS:>13.0f}\"\n", " f\"{measured_break_even(lam):>10}\")" ] }, { "cell_type": "markdown", "id": "13897993", "metadata": {}, "source": [ "The more a loss hurts, the longer the gap between looks has to be: 13 trading days for λ = 1.5, 40 for 2, 56 for 2.25, 74 for 2.5 and 115 for 3, measured. The closed form follows the same curve, between 5 and 16 trading days later throughout." ] }, { "cell_type": "markdown", "id": "3f78c0c4", "metadata": {}, "source": [ "## In Real Terms\n", "\n", "Benartzi and Thaler gave most weight to nominal returns, because that is how returns are reported. In money of constant value a loss shows more often. Shiller's consumer price index is monthly, so each month's inflation is spread evenly over its trading days, and only looks of a month or longer are counted." ] }, { "cell_type": "code", "execution_count": 9, "id": "cab8a1eb", "metadata": { "execution": { "iopub.execute_input": "2026-10-10T10:05:37.235562Z", "iopub.status.busy": "2026-10-10T10:05:37.235472Z", "iopub.status.idle": "2026-10-10T10:05:37.241433Z", "shell.execute_reply": "2026-10-10T10:05:37.241135Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "month nominal 37.2% real 39.6%\n", "year nominal 24.7% real 29.9%\n", "10 years nominal 4.6% real 13.6%\n", "20 years nominal 0.0% real 0.0%\n" ] } ], "source": [ "#| label: In Real Terms\n", "month = df.index.to_period(\"M\")\n", "cpi = df[\"cpi\"].groupby(month).first()\n", "infl = np.log(cpi).diff().fillna(0.0) # log inflation of each month\n", "per_day = (infl / month.value_counts()).reindex(month).to_numpy()\n", "Lr = np.r_[0.0, np.cumsum(lg - per_day)] # log wealth after inflation\n", "\n", "for name in (\"month\", \"year\", \"10 years\", \"20 years\"):\n", " h = LOOKS[name]\n", " nominal = np.mean(returns_over(h) < 0)\n", " real = np.mean(Lr[h:] - Lr[:-h] < 0)\n", " print(f\"{name:<9} nominal {nominal:6.1%} real {real:6.1%}\")" ] }, { "cell_type": "markdown", "id": "5fbb1dba", "metadata": {}, "source": [ "After inflation a monthly look shows a loss 39.6% of the time and a yearly one 29.9%; a look every ten years shows one 13.6% of the time, three times as often as in dollars. No 20-year window lost money after inflation either." ] }, { "cell_type": "markdown", "id": "0e14cec7", "metadata": {}, "source": [ "## What the Numbers Show\n", "\n", "The money and the feeling answer different questions. Over 98 years the market lost on 46% of its days and still turned a dollar into 14,790. A loss-averse investor who looks every day feels that history as a loss; one who looks every quarter feels it as a gain. Between them sits the break-even, 56 trading days in the data and 71 for a normal market with the same mean and spread, and nothing about the market changes there, only the number of looks.\n", "\n", "Benartzi and Thaler's own figure already shows the crossing. In the working-paper version of their Figure 1, built with Tversky and Kahneman's cumulative prospect theory on monthly CRSP returns from 1926 to 1990, the prospective utility of stocks alone, in nominal terms, is below zero for evaluation periods up to five months and above it from six. What this notebook adds is the measurement day by day over 98 years with dividends, the closed form $T^* = (z^*/S)^2$, which splits the break-even into the investor's $z^*$ and the market's $S$, and a cell for your own λ.\n", "\n", "Samuelson proved his colleague inconsistent, and under expected utility he was. Benartzi and Thaler read the same answer as a statement about watching: with losses weighted two and a half times, they noted, the colleague \"would turn down one bet but accept two or more as long as he didn't have to watch the bet being played out.\" Ninety-eight years of the stock market put a length on the watching: about eleven weeks." ] }, { "cell_type": "markdown", "id": "abcd8470", "metadata": {}, "source": [ "## Sources\n", "\n", "1. P. A. Samuelson, \"Risk and Uncertainty: A Fallacy of Large Numbers\", *Scientia* 98 (1963) 108–113; reprinted in the Casualty Actuarial Society *Forum* (Spring 1994), from which it is quoted.\n", "2. R. Mehra and E. C. Prescott, \"The equity premium: A puzzle\", *Journal of Monetary Economics* 15 (1985) 145–161, doi:10.1016/0304-3932(85)90061-3.\n", "3. S. Benartzi and R. H. Thaler, \"Myopic Loss Aversion and the Equity Premium Puzzle\", *Quarterly Journal of Economics* 110 (1995) 73–92, doi:10.2307/2118511. The passage on Samuelson's colleague and Figure 1 are read in the working paper, NBER Working Paper 4369 (1993), doi:10.3386/w4369.\n", "4. A. Tversky and D. Kahneman, \"Advances in prospect theory: Cumulative representation of uncertainty\", *Journal of Risk and Uncertainty* 5 (1992) 297–323, doi:10.1007/BF00122574.\n", "5. paveljurke, \"S&P 500 (^GSPC) Historical Data\", Kaggle dataset (CC0), daily closes from Yahoo Finance.\n", "6. R. J. Shiller, monthly stock market data: S&P Composite price, dividends and the consumer price index, 1871 to the present (ie_data.xls), shillerdata.com.\n", "\n", "*Every number in this notebook is computed by its own cells from the one data file.*" ] } ], "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 }