{ "cells": [ { "cell_type": "markdown", "id": "1df8206b", "metadata": {}, "source": [ "# How Often Should You Look at Your Portfolio?\n", "\n", "Two people own the same fund: the S&P 500, with every dividend reinvested. One opens the account every evening. The other looks once a year, when the annual statement comes. Over the 98 years since January 1928 the fund did the same thing for both of them and turned each dollar into 14,790. What they saw was not the same. The daily looker saw a loss on 46.0% of the days he looked; the yearly one in about a quarter of the years.\n", "\n", "That matters because a loss does not feel like a gain of the same size. In their 1992 update of prospect theory, Amos Tversky and Daniel Kahneman put a number on the difference, the coefficient of loss aversion λ, and estimated it at 2.25: a loss weighs about two and a quarter times an equal gain. Three years later Shlomo Benartzi and Richard Thaler joined the two facts. They called the combination of loss aversion and frequent looking *myopic loss aversion*, and offered it as the answer to the equity premium puzzle, \"the empirical fact that stocks have outperformed bonds over the last century by a surprisingly large margin.\" With Tversky and Kahneman's parameters, they found, the size of that margin fits \"if investors evaluate their portfolios annually.\"\n", "\n", "This notebook measures both halves of the argument on 24,804 trading days of the S&P 500, from January 1928 to October 2026, and on a 10-year bond, month by month: how often a look shows a loss, from a look a day to one every twenty years; how far apart the looks must be before a loss-averse investor feels them as gains; and, with Benartzi and Thaler's own model and parameters, how often he can look and still prefer stocks to bonds. An earlier notebook here, *The Bet Samuelson's Colleague Refused*, measured the break-even against holding nothing; this one adds the comparison Benartzi and Thaler actually made, stocks against bonds, and runs it to 2026.\n", "\n", "**Key findings**\n", "\n", "- A daily look at the S&P 500 with dividends showed a loss on 46.0% of days, a yearly look in 24.7% of years and a ten-year look 4.6% of the time.\n", "- With a loss weighing 2.25 times an equal gain, the daily look is a net pain on average; the felt value turns positive, and stays positive, only when the looks are at least 56 trading days apart, about eleven weeks.\n", "- Benartzi and Thaler's stocks-against-bonds model, rebuilt with their parameters, puts stocks ahead of bonds from an evaluation period of 11 months on 1928–1990 (theirs, on 1926–1990: 11 to 12 months) and from 9 months on 1928–2026.\n", "- That 9 rests on drawing months independently, as they did: kept in history's order, the same months put stocks ahead only from 18 months.\n", "- After inflation the long look comforts less: a ten-year look showed a loss 13.6% of the time, three times the 4.6% in dollars, and the break-even doubles to 115 trading days." ] }, { "cell_type": "markdown", "id": "6731b202", "metadata": {}, "source": [ "## Two Investors, One Fund\n", "\n", "The data 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. The closes are Yahoo Finance prices from a public-domain Kaggle dataset. A look is a window of $h$ consecutive trading days, and every window in the 98 years counts, starting on any day, so the windows overlap." ] }, { "cell_type": "code", "execution_count": 1, "id": "03eac3d0", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:55.727668Z", "iopub.status.busy": "2026-10-19T01:48:55.727413Z", "iopub.status.idle": "2026-10-19T01:48:55.887921Z", "shell.execute_reply": "2026-10-19T01:48:55.887503Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "24,804 trading days, 03 Jan 1928 to 01 Oct 2026\n", "one dollar, dividends reinvested, became 14,790\n", "looking every day 24,804 possible looks, 46.0% show a loss\n", "looking once a year 24,553 possible looks, 24.7% show a loss\n" ] } ], "source": [ "#| label: Two Investors, One Fund\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", "print(f\"{len(r):,} trading days, {df.index[0]:%d %b %Y} to \"\n", " f\"{df.index[-1]:%d %b %Y}\")\n", "print(f\"one dollar, dividends reinvested, became {np.exp(L[-1]):,.0f}\")\n", "\n", "def returns_over(h, logw=L): # every window of h trading days\n", " return np.expm1(logw[h:] - logw[:-h])\n", "\n", "for name, h in ((\"every day\", 1), (\"once a year\", DAYS)):\n", " R = returns_over(h)\n", " print(f\"looking {name:<12}{len(R):>7,} possible looks, \"\n", " f\"{np.mean(R < 0):.1%} show a loss\")" ] }, { "cell_type": "markdown", "id": "49224cfb", "metadata": {}, "source": [ "A dollar invested in January 1928 became 14,790 with every dividend reinvested. Of the 24,804 daily looks, 46.0% showed a loss; of the 24,553 possible yearly looks, a year being 252 trading days from any starting day, 24.7% did. Same fund, same history: the daily looker sees red almost every other day, the yearly one about one year in four.\n", "\n", "## How Often a Look Shows a Loss\n", "\n", "The cell counts the losing looks at ten intervals, from a day to twenty years, in dollars and after inflation. Shiller's consumer price index is monthly, so each month's inflation is spread evenly over its trading days." ] }, { "cell_type": "code", "execution_count": 2, "id": "66911efc", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:55.889067Z", "iopub.status.busy": "2026-10-19T01:48:55.888965Z", "iopub.status.idle": "2026-10-19T01:48:55.895555Z", "shell.execute_reply": "2026-10-19T01:48:55.895209Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "look every loss, nominal loss, real\n", "day 46.0% 46.9%\n", "week 42.1% 43.4%\n", "month 37.2% 39.6%\n", "quarter 31.9% 35.8%\n", "half-year 28.4% 33.4%\n", "year 24.7% 29.9%\n", "2 years 17.0% 25.7%\n", "5 years 10.5% 21.8%\n", "10 years 4.6% 13.6%\n", "20 years 0.0% 0.0%\n" ] } ], "source": [ "#| label: How Often a Look Shows a Loss\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", "LOOKS = {\"day\": 1, \"week\": 5, \"month\": 21, \"quarter\": 63,\n", " \"half-year\": 126, \"year\": 252, \"2 years\": 504,\n", " \"5 years\": 1260, \"10 years\": 2520, \"20 years\": 5040}\n", "print(f\"{'look every':<11}{'loss, nominal':>15}{'loss, real':>12}\")\n", "for name, h in LOOKS.items():\n", " print(f\"{name:<11}{np.mean(returns_over(h) < 0):>15.1%}\"\n", " f\"{np.mean(returns_over(h, Lr) < 0):>12.1%}\")" ] }, { "cell_type": "markdown", "id": "a83ce699", "metadata": {}, "source": [ "In dollars the share falls steadily with the interval: 42.1% for a weekly look, 37.2% monthly, 31.9% quarterly, 24.7% yearly, 10.5% every five years and 4.6% every ten. No twenty-year window since 1928 ended below its start, but the windows overlap and fewer than five separate twenty-year spans fit in 98 years, so that 0.0% rests on a handful of independent stretches. After inflation every share is higher; Figure 1 shows both curves, and the section *After Inflation* comes back to them." ] }, { "cell_type": "code", "execution_count": 3, "id": "97a454ae", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:55.896477Z", "iopub.status.busy": "2026-10-19T01:48:55.896385Z", "iopub.status.idle": "2026-10-19T01:48:56.232784Z", "shell.execute_reply": "2026-10-19T01:48:56.232397Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 540, "width": 1206 } }, "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 reinvested, January 1928 to October 2026, coral in dollars and sky blue after inflation. Look at the two investors on the coral line, 46.0% for a daily look and 24.7% for a yearly one; at ten years a look still shows a loss after inflation 13.6% of the time, against 4.6% in dollars.\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, 70).round().astype(int))\n", "nom = [np.mean(returns_over(h) < 0) * 100 for h in grid]\n", "real = [np.mean(returns_over(h, Lr) < 0) * 100 for h in grid]\n", "fig, ax = plt.subplots(figsize=(12.4, 5.6))\n", "ax.plot(grid, real, color=SKY, lw=2.6, label=\"after inflation\")\n", "ax.plot(grid, nom, color=CORAL, lw=2.6, label=\"in dollars\")\n", "spots = ((\"every day\", 1, returns_over, CORAL, (14, 4), \"left\"),\n", " (\"once a year\", DAYS, returns_over, CORAL, (-14, -26), \"right\"),\n", " (\"every 10 years\", 2520, returns_over, CORAL, (-12, -24), \"right\"))\n", "for name, h, f, col, off, ha in spots:\n", " p = np.mean(f(h) < 0) * 100\n", " ax.plot(h, p, \"o\", color=col, ms=12, mec=\"white\", mew=1.6, zorder=5)\n", " ax.annotate(f\"{name}: {p:.1f}%\", (h, p), xytext=off, ha=ha,\n", " textcoords=\"offset points\", color=\"white\",\n", " fontweight=\"bold\", fontsize=12.5)\n", "p = np.mean(returns_over(2520, Lr) < 0) * 100\n", "ax.plot(2520, p, \"o\", color=SKY, ms=12, mec=\"white\", mew=1.6, zorder=5)\n", "ax.annotate(f\"after inflation:\\n{p:.1f}%\", (2520, p), xytext=(12, 6),\n", " textcoords=\"offset points\", color=SKY, fontweight=\"bold\",\n", " 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, 7000)\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": "81c3a5a0", "metadata": {}, "source": [ "## How a Look Feels\n", "\n", "Score the return $R$ of each look the way a loss-averse investor feels it, a gain at face value and a loss $\\lambda$ times as heavy, with Tversky and Kahneman's $\\lambda = 2.25$,\n", "\n", "$$v(R) = \\max(R, 0) + \\lambda\\,\\min(R, 0)$$\n", "\n", "and average it over every window of the same length. A positive average means the looks, taken together, feel like gains; a negative one means the losses outweigh them, although the money grew. These are straight lines, the simplest form of loss aversion; Benartzi and Thaler's curved version comes in the next section. The cell scores every interval up to two years, in dollars and after inflation, and finds the break-even: the interval from which the felt value stays above zero." ] }, { "cell_type": "code", "execution_count": 4, "id": "574f3552", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:56.233982Z", "iopub.status.busy": "2026-10-19T01:48:56.233822Z", "iopub.status.idle": "2026-10-19T01:48:56.286560Z", "shell.execute_reply": "2026-10-19T01:48:56.285920Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "look every felt, nominal felt, real\n", "day -0.40% -0.42%\n", "week -0.76% -0.86%\n", "month -0.85% -1.24%\n", "quarter +0.22% -0.90%\n", "half-year +2.42% +0.24%\n", "year +7.83% +3.47%\n", "\n", "worst interval: 14 trading days, -0.89%\n", "break-even: 56 trading days (11.2 weeks) nominal, 115 (23.0 weeks) after inflation\n" ] } ], "source": [ "#| label: How a Look Feels\n", "LAM = 2.25 # a loss weighs 2.25 equal gains\n", "\n", "def felt(R, lam=LAM): # the average felt value of a look\n", " return np.where(R >= 0, R, lam * R).mean()\n", "\n", "def break_even(v, H): # from here on, always above zero\n", " return H[np.flatnonzero(v < 0)[-1] + 1]\n", "\n", "H = np.arange(1, 505) # every interval up to two years\n", "F = np.array([felt(returns_over(h)) for h in H])\n", "Fr = np.array([felt(returns_over(h, Lr)) for h in H])\n", "print(f\"{'look every':<11}{'felt, nominal':>15}{'felt, real':>12}\")\n", "for name in (\"day\", \"week\", \"month\", \"quarter\", \"half-year\", \"year\"):\n", " h = LOOKS[name]\n", " print(f\"{name:<11}{F[h - 1]:>+15.2%}{Fr[h - 1]:>+12.2%}\")\n", "T_be, T_real = break_even(F, H), break_even(Fr, H)\n", "print(f\"\\nworst interval: {H[F.argmin()]} trading days, {F.min():+.2%}\")\n", "print(f\"break-even: {T_be} trading days ({T_be / 5:.1f} weeks) nominal, \"\n", " f\"{T_real} ({T_real / 5:.1f} weeks) after inflation\")" ] }, { "cell_type": "markdown", "id": "80063a0f", "metadata": {}, "source": [ "Looked at every day, the S&P 500 feels like a loss, −0.40% of the account per look on average, and the feeling gets worse before it gets better: −0.76% for a weekly look, −0.85% for a monthly one, worst at 14 trading days, −0.89%. The 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. From 56 trading days on, about eleven weeks, the felt value is positive and stays there: +0.22% for a quarterly look, +2.42% for a half-yearly one and +7.83% for a yearly one. Figure 2 marks the break-even." ] }, { "cell_type": "code", "execution_count": 5, "id": "4fa0d5c9", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:56.287487Z", "iopub.status.busy": "2026-10-19T01:48:56.287398Z", "iopub.status.idle": "2026-10-19T01:48:56.409850Z", "shell.execute_reply": "2026-10-19T01:48:56.409484Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 540, "width": 1221 } }, "output_type": "display_data" } ], "source": [ "#| echo: false\n", "#| fig-cap: The average felt value of a look at the S&P 500, in percent of the account, for an investor who weighs a loss 2.25 times an equal gain, against the interval between looks, over every window since January 1928; white in dollars, sky blue dashed after inflation. Look at the thick amber line, the break-even, where the white curve crosses zero at 56 trading days, about eleven weeks; after inflation the crossing waits until 115 trading days (dotted).\n", "hh = np.arange(1, DAYS + 1)\n", "fig, ax = plt.subplots(figsize=(12.4, 5.6))\n", "ax.axhline(0, color=GREY, lw=1.3)\n", "ax.plot(hh, Fr[:DAYS] * 100, color=SKY, lw=2.2, ls=\"--\",\n", " label=\"after inflation\")\n", "ax.plot(hh, F[:DAYS] * 100, color=\"white\", lw=2.6, label=\"in dollars\")\n", "ax.axvline(T_be, color=AMBER, lw=7, alpha=0.9, zorder=1)\n", "ax.axvline(T_real, color=SKY, lw=2.2, ls=\":\", zorder=1)\n", "top = F[:DAYS].max() * 100\n", "ax.text(T_be - 5, 0.9 * top, f\"break-even:\\n{T_be} trading days\\n\"\n", " f\"(about {T_be / 5:.0f} weeks)\", color=AMBER, fontweight=\"bold\",\n", " fontsize=14, va=\"top\", ha=\"right\")\n", "ax.text(T_real + 4, -0.25, f\"after inflation:\\n{T_real} days\",\n", " color=SKY, fontweight=\"bold\", fontsize=12.5, va=\"top\")\n", "ax.set_xlim(0, DAYS + 1)\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": "6393251f", "metadata": {}, "source": [ "## Benartzi and Thaler's Comparison\n", "\n", "The break-even above sets stocks against holding nothing. Benartzi and Thaler set them against bonds, the choice an investor actually makes, and used Tversky and Kahneman's full cumulative prospect theory rather than straight lines. Their parameters, as their paper states them (the working paper of 1993, pages 9 and 10): a gain $x$ is valued at $x^\\alpha$ and a loss at $-\\lambda(-x)^\\beta$, and \"They have estimated α and β to be 0.88 and λ to be 2.25.\" Probabilities are bent as well. Each outcome's decision weight is $w(P_i) - w(P_i^*)$, where $P_i$ is the chance of an outcome at least as good as it and $P_i^*$ the chance of one strictly better, \"applied separately for gains and losses\" (for a loss, read *as bad* and *strictly worse*), with\n", "\n", "$$w(p) = \\frac{p^\\gamma}{\\big(p^\\gamma + (1-p)^\\gamma\\big)^{1/\\gamma}}$$\n", "\n", "and γ estimated \"to be .61 in the domain of gains and .69 in the domain of losses.\" With γ below 1 the rare outcomes at either end weigh more than their chance. The prospective utility of an asset is the sum, over its outcomes, of value times decision weight.\n", "\n", "Their returns were monthly, from CRSP, 1926 to 1990: the CRSP stock index against 5-year bonds. Here the stocks are the S&P 500, month by month from the daily file, and the bond is a 10-year bond priced from the long-term interest rate in Shiller's monthly data, a column he labels GS10, the name of the Federal Reserve's 10-year Treasury yield. His workbook carries a monthly total return for that bond, and the column matches, in every month, a bond bought at par at month $t$'s long-term yield $y_t$, paying $y_t/12$ a month, and sold a month later, with 119 months still to run, at month $t+1$'s yield:\n", "\n", "$$\\begin{gathered} 1 + R_t = \\frac{y_t}{12} + \\frac{y_t}{y_{t+1}}\\,(1 - k) + k \\\\[4pt] k = \\Big(1 + \\frac{y_{t+1}}{12}\\Big)^{-119} \\end{gathered}$$\n", "\n", "Before April 1953 the workbook's yield moves in equal steps from one January to the next, an annual series spread over the months, so the bond's monthly returns are smoother there than a traded bond's would have been. The cell checks the formula against the file and sets the two assets side by side." ] }, { "cell_type": "code", "execution_count": 6, "id": "3b5a4b59", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:56.411406Z", "iopub.status.busy": "2026-10-19T01:48:56.411326Z", "iopub.status.idle": "2026-10-19T01:48:56.417603Z", "shell.execute_reply": "2026-10-19T01:48:56.417007Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "stocks: 1185 months, 1928-01 to 2026-09\n", "bonds: 1185 months, 1927-12 to 2026-08 (each to the next month)\n", "bond formula against the file: largest gap 0.0000000000\n", "stocks mean 11.47% a year, spread 18.52%, months that lost 37.4%\n", "bonds mean 4.75% a year, spread 5.55%, months that lost 30.1%\n" ] } ], "source": [ "#| label: Stocks and Bonds, Month by Month\n", "mo = pd.Series(lg, index=df.index).groupby(month).sum()\n", "stocks = np.expm1(mo).loc[:\"2026-09\"] # October 2026 has one day only\n", "bd = pd.read_csv(\"data/shiller_bond_monthly.csv\", index_col=\"month\")\n", "bonds = bd[\"bond_return\"].dropna() # month t's yield to month t+1's\n", "\n", "y = bd[\"gs10\"].to_numpy() / 100 # the yield, as a fraction\n", "y0, y1 = y[:-1], y[1:]\n", "k = (1 + y1 / 12) ** -119 # 119 months still to run\n", "sold = y0 / y1 * (1 - k) + k # the bond's price a month later\n", "gap = np.abs(y0 / 12 + sold - 1 - bonds.to_numpy()).max()\n", "print(f\"stocks: {len(stocks)} months, {stocks.index[0]} to \"\n", " f\"{stocks.index[-1]}\")\n", "print(f\"bonds: {len(bonds)} months, {bonds.index[0]} to \"\n", " f\"{bonds.index[-1]} (each to the next month)\")\n", "print(f\"bond formula against the file: largest gap {gap:.10f}\")\n", "for name, x in ((\"stocks\", stocks), (\"bonds\", bonds)):\n", " print(f\"{name:<7} mean {x.mean() * 12:6.2%} a year, spread \"\n", " f\"{x.std() * np.sqrt(12):6.2%}, months that lost \"\n", " f\"{np.mean(x < 0):.1%}\")" ] }, { "cell_type": "markdown", "id": "a70cb4e1", "metadata": {}, "source": [ "The formula gives back the file's bond return in all 1,185 months. Over those months stocks returned 11.47% a year on average with a yearly spread of 18.52%, the bond 4.75% with 5.55%; stocks lost money in 37.4% of months, the bond in 30.1%.\n", "\n", "Then Benartzi and Thaler drew: \"distributions of returns are generated for various time horizons by drawing 10,000 n-month returns (with replacement) from the CRSP time series.\" The returns were ranked and read at 20 intervals along the distribution, and the prospective utility of each asset computed for evaluation periods of 1 to 18 months. The notebook reads the draw as $n$ months picked independently from the history and compounded, and instead of 10,000 random draws it computes the distribution those draws come from: the distribution of one month's log return, on a grid of 0.0005, convolved with itself $n$ times. No random number is used and no intervals are needed; Benartzi and Thaler found 100 intervals instead of 20 gave results \"substantially the same\". The comparison runs twice, on every month from 1928 to 2026 and on 1928 to 1990, the years closest to theirs." ] }, { "cell_type": "code", "execution_count": 7, "id": "de216d0e", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:56.419079Z", "iopub.status.busy": "2026-10-19T01:48:56.418995Z", "iopub.status.idle": "2026-10-19T01:48:56.420969Z", "shell.execute_reply": "2026-10-19T01:48:56.420692Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a 1% chance weighs as 5.5% for a gain, 4.0% for a loss\n", "a 5% chance weighs as 13.2% for a gain, 11.1% for a loss\n", "a 50% chance weighs as 42.1% for a gain, 45.4% for a loss\n" ] } ], "source": [ "#| label: The Weights\n", "A, LOSS = 0.88, 2.25 # value: x**A, or -LOSS * (-x)**A\n", "G_GAIN, G_LOSS = 0.61, 0.69 # how probabilities are weighted\n", "\n", "def w(p, g): # Tversky and Kahneman's weights\n", " p = np.minimum(p, 1.0)\n", " return p**g / (p**g + (1 - p)**g) ** (1 / g)\n", "\n", "for q in (0.01, 0.05, 0.5):\n", " print(f\"a {q:.0%} chance weighs as {w(q, G_GAIN):.1%} for a gain, \"\n", " f\"{w(q, G_LOSS):.1%} for a loss\")" ] }, { "cell_type": "markdown", "id": "05769484", "metadata": {}, "source": [ "Read on cumulative chances, the weighting lifts the ends of the distribution and flattens its middle: the best 1% of outcomes weigh as 5.5% (the worst 1% as 4.0%), the best 5% as 13.2% (the worst as 11.1%), while a 50% chance counts as only 42.1% (45.4%). The next cell builds every $n$-month return with its probability and the prospective utility of a distribution, and checks the grid." ] }, { "cell_type": "code", "execution_count": 8, "id": "13bb66c8", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:56.421926Z", "iopub.status.busy": "2026-10-19T01:48:56.421848Z", "iopub.status.idle": "2026-10-19T01:48:56.493838Z", "shell.execute_reply": "2026-10-19T01:48:56.493450Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12 months of stocks drawn on the grid: mean 12.094%; exact: 12.093%\n" ] } ], "source": [ "#| label: Prospective Utility\n", "STEP = 0.0005 # grid for monthly log returns\n", "\n", "def n_months(x, n): # every n-month return made of n\n", " k = np.round(np.log1p(x) / STEP).astype(int) # months drawn with\n", " p1 = np.bincount(k - k.min()) / len(k) # replacement, and\n", " p = p1 # its probability\n", " for _ in range(n - 1):\n", " p = np.convolve(p, p1)\n", " R = np.expm1((np.arange(len(p)) + n * k.min()) * STEP)\n", " return R[p > 0], p[p > 0]\n", "\n", "def prospect(R, p): # cumulative prospect theory\n", " up, dn = R > 0, R < 0\n", " Pg = np.cumsum(p[up][::-1]) # chance of a gain at least this\n", " Pl = np.cumsum(p[dn]) # chance of a loss at least this\n", " gain = np.diff(np.r_[0, w(Pg, G_GAIN)]) * R[up][::-1] ** A\n", " loss = np.diff(np.r_[0, w(Pl, G_LOSS)]) * (-R[dn]) ** A\n", " return gain.sum() - LOSS * loss.sum()\n", "\n", "R, p = n_months(stocks.to_numpy(), 12)\n", "print(f\"12 months of stocks drawn on the grid: mean {(p * R).sum():.3%}; \"\n", " f\"exact: {(1 + stocks.mean()) ** 12 - 1:.3%}\")" ] }, { "cell_type": "markdown", "id": "f383374a", "metadata": {}, "source": [ "The grid costs nothing that shows: twelve months drawn on it have a mean return of 12.094%, against 12.093% exactly. The next cell runs the two functions for evaluation periods of 1 to 24 months, for stocks and for the bond, on both periods, and finds the shortest evaluation period from which stocks stay ahead of the bond." ] }, { "cell_type": "code", "execution_count": 9, "id": "033ec7b6", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:48:56.495191Z", "iopub.status.busy": "2026-10-19T01:48:56.495068Z", "iopub.status.idle": "2026-10-19T01:49:01.825801Z", "shell.execute_reply": "2026-10-19T01:49:01.825187Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "months 1928-2026 1928-1990\n", " stocks bonds stocks bonds\n", " 1 -0.0255 -0.0037 -0.0279 -0.0010\n", " 2 -0.0239 -0.0017 -0.0276 0.0014\n", " 3 -0.0190 0.0015 -0.0238 0.0048\n", " 4 -0.0125 0.0052 -0.0182 0.0086\n", " 5 -0.0051 0.0092 -0.0115 0.0127\n", " 6 0.0031 0.0134 -0.0040 0.0170\n", " 7 0.0117 0.0177 0.0041 0.0213\n", " 8 0.0208 0.0221 0.0126 0.0257\n", " 9 0.0302 0.0265 0.0215 0.0302\n", " 10 0.0399 0.0310 0.0308 0.0348\n", " 11 0.0499 0.0355 0.0404 0.0393\n", " 12 0.0600 0.0401 0.0502 0.0439\n", " 13 0.0704 0.0447 0.0602 0.0485\n", " 14 0.0810 0.0493 0.0705 0.0531\n", " 15 0.0917 0.0540 0.0809 0.0578\n", " 16 0.1026 0.0586 0.0915 0.0624\n", " 17 0.1137 0.0633 0.1023 0.0671\n", " 18 0.1248 0.0680 0.1132 0.0717\n", "\n", "stocks ahead of bonds from 9 months (1928-2026), 11 months (1928-1990)\n" ] } ], "source": [ "#| label: Stocks Against Bonds\n", "N = np.arange(1, 25) # evaluation periods, in months\n", "\n", "def utilities(st, bo, value=prospect):\n", " us = np.array([value(*n_months(st, n)) for n in N])\n", " ub = np.array([value(*n_months(bo, n)) for n in N])\n", " return us, ub\n", "\n", "def crossing(us, ub): # stocks ahead from here on\n", " return N[np.flatnonzero(us < ub)[-1] + 1]\n", "\n", "full = utilities(stocks.to_numpy(), bonds.to_numpy())\n", "old = utilities(stocks[:\"1990-12\"].to_numpy(), bonds[:\"1990-11\"].to_numpy())\n", "print(f\"{'months':>6}{'1928-2026':>20}{'1928-1990':>20}\")\n", "print(f\"{'':>6}{'stocks':>10}{'bonds':>10}{'stocks':>10}{'bonds':>10}\")\n", "for i in range(18):\n", " print(f\"{N[i]:>6}{full[0][i]:>10.4f}{full[1][i]:>10.4f}\"\n", " f\"{old[0][i]:>10.4f}{old[1][i]:>10.4f}\")\n", "print(f\"\\nstocks ahead of bonds from {crossing(*full)} months (1928-2026),\"\n", " f\" {crossing(*old)} months (1928-1990)\")" ] }, { "cell_type": "markdown", "id": "e020d049", "metadata": {}, "source": [ "Looked at every month, stocks have a prospective utility of −0.0255 and the bond −0.0037: both feel like losses, stocks far more. Both rise with the evaluation period, stocks faster. On 1928–1990 stocks pass the bond at 11 months, inside Benartzi and Thaler's 11 to 12 months on 1926–1990, from a different index, a different bond and different data: their result reproduces. With the years since 1990 added, stocks pass the bond two months sooner, at 9 months. Stocks alone, against nothing, feel like a gain from 6 months on in 1928–2026, as in the nominal panel of Benartzi and Thaler's own Figure 1, which is below zero up to five months and above it from six. Figure 3 shows the four curves." ] }, { "cell_type": "code", "execution_count": 10, "id": "46d3453d", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:49:01.826882Z", "iopub.status.busy": "2026-10-19T01:49:01.826797Z", "iopub.status.idle": "2026-10-19T01:49:01.981282Z", "shell.execute_reply": "2026-10-19T01:49:01.980493Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 581, "width": 1222 } }, "output_type": "display_data" } ], "source": [ "#| echo: false\n", "#| fig-cap: The prospective utility of a look at stocks (coral) and at the 10-year bond (teal) under cumulative prospect theory with Benartzi and Thaler's parameters, against the evaluation period; solid lines, every month from 1928 to 2026; dashed, 1928 to 1990. Look at the amber dots, where stocks pass bonds, at 9 months on the full history and at 11 months on 1928 to 1990, beside Benartzi and Thaler's 11 to 12 months on 1926 to 1990 (grey band).\n", "def meet(us, ub): # where the two lines cross\n", " n = crossing(us, ub)\n", " a, b = us[n - 2] - ub[n - 2], us[n - 1] - ub[n - 1]\n", " t = a / (a - b)\n", " return n - 1 + t, us[n - 2] + t * (us[n - 1] - us[n - 2])\n", "\n", "fig, ax = plt.subplots(figsize=(12.4, 6.0))\n", "ax.axhline(0, color=GREY, lw=1.0)\n", "ax.axvspan(11, 12, color=GREY, alpha=0.28, lw=0)\n", "ax.text(11.5, 0.125, \"Benartzi and\\nThaler,\\n1926-1990:\\n11-12 months\",\n", " ha=\"center\", va=\"center\", color=GREY, fontsize=11.5,\n", " fontweight=\"bold\")\n", "ax.plot(N, full[0], color=CORAL, lw=2.8, marker=\"o\", ms=5,\n", " label=\"stocks, 1928-2026\")\n", "ax.plot(N, full[1], color=TEAL, lw=2.8, marker=\"o\", ms=5,\n", " label=\"bonds, 1928-2026\")\n", "ax.plot(N, old[0], color=CORAL, lw=1.8, ls=\"--\", alpha=0.85,\n", " label=\"stocks, 1928-1990\")\n", "ax.plot(N, old[1], color=TEAL, lw=1.8, ls=\"--\", alpha=0.85,\n", " label=\"bonds, 1928-1990\")\n", "for (us, ub), span, dx, dy, ha in ((full, \"1928-2026\", -16, 10, \"right\"),\n", " (old, \"1928-1990\", 16, -34, \"left\")):\n", " x, v = meet(us, ub)\n", " ax.plot(x, v, \"o\", color=AMBER, ms=15, mec=\"white\", mew=1.8,\n", " zorder=6)\n", " ax.annotate(f\"{span}: stocks ahead\\nfrom {crossing(us, ub)} months\",\n", " (x, v), xytext=(dx, dy), textcoords=\"offset points\",\n", " ha=ha, color=AMBER, fontweight=\"bold\", fontsize=13)\n", "ax.set_xlim(0.5, 24.5)\n", "ax.set_xticks(range(1, 25))\n", "ax.set_xlabel(\"evaluation period (months)\")\n", "ax.set_ylabel(\"prospective utility of a look\")\n", "ax.legend(loc=\"upper left\", frameon=False, ncol=2)\n", "tidy(fig, ax)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3517f64b", "metadata": {}, "source": [ "## Why Our Number Differs\n", "\n", "Benartzi and Thaler asked which part of the model drives the answer. With true probabilities in place of the weighting function, their crossing fell \"from 11-12 months to 10 months\"; with true probabilities and straight lines, $v(x) = x$ for gains and $2.25\\,x$ for losses, it was \"8 months\". The cell runs the same two versions on both periods." ] }, { "cell_type": "code", "execution_count": 11, "id": "c5645130", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:49:01.982488Z", "iopub.status.busy": "2026-10-19T01:49:01.982389Z", "iopub.status.idle": "2026-10-19T01:49:17.776590Z", "shell.execute_reply": "2026-10-19T01:49:17.776017Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "model 1928-2026 1928-1990 theirs\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "full model 9 11 11-12\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "true chances 6 9 10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "straight lines 5 7 8\n" ] } ], "source": [ "#| label: Which Part Matters\n", "def plain(R, p, a=A): # the same value, true chances\n", " v = np.abs(R) ** a\n", " return (p * np.where(R > 0, v, -LOSS * v)).sum()\n", "\n", "def straight(R, p): # straight lines, true chances\n", " return plain(R, p, a=1.0)\n", "\n", "periods = {\"1928-2026\": (stocks, bonds),\n", " \"1928-1990\": (stocks.loc[:\"1990-12\"], bonds.loc[:\"1990-11\"])}\n", "theirs = {\"full model\": \"11-12\", \"true chances\": \"10\",\n", " \"straight lines\": \"8\"}\n", "print(f\"{'model':<16}{'1928-2026':>11}{'1928-1990':>11}{'theirs':>9}\")\n", "for name, value in ((\"full model\", prospect), (\"true chances\", plain),\n", " (\"straight lines\", straight)):\n", " got = [crossing(*utilities(s.to_numpy(), b.to_numpy(), value))\n", " for s, b in periods.values()]\n", " print(f\"{name:<16}{got[0]:>11}{got[1]:>11}{theirs[name]:>9}\")" ] }, { "cell_type": "markdown", "id": "199b9446", "metadata": {}, "source": [ "On 1928–1990 each version lands within a month of theirs and never later: 11 against their 11 to 12 for the full model, 9 against 10 with true probabilities, 7 against 8 with straight lines. The data are close to theirs but not the same: the S&P 500 with Shiller's dividends instead of the CRSP index; a 10-year bond priced from its yield instead of the returns of CRSP's 5-year bonds, with a yield interpolated within each year before April 1953; and 1928 to 1990 instead of 1926 to 1990. The years since 1990 move every version earlier, to 9, 6 and 5 months. The shape of the value matters less than the weighting: on 1928–2026 the curve in the value function adds one month (5 to 6) and the weighting of probabilities three more (6 to 9).\n", "\n", "The next cell keeps the months in history's order instead of drawing them, every run of $n$ consecutive months counted once, as in the first half of the notebook, and compares the yearly spread of each asset before and after 1990." ] }, { "cell_type": "code", "execution_count": 12, "id": "ecbdfae7", "metadata": { "execution": { "iopub.execute_input": "2026-10-19T01:49:17.777573Z", "iopub.status.busy": "2026-10-19T01:49:17.777492Z", "iopub.status.idle": "2026-10-19T01:49:17.784687Z", "shell.execute_reply": "2026-10-19T01:49:17.784256Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "months kept in history's order: stocks ahead from 18 months\n", "1928-1990: spread a year, stocks 20.4%, bonds 5.2%\n", "1991-2026: spread a year, stocks 14.6%, bonds 6.2%\n" ] } ], "source": [ "#| label: History's Order\n", "def windows(x, n): # every run of n months, in order\n", " W = np.r_[0.0, np.cumsum(np.log1p(x))]\n", " R = np.sort(np.expm1(W[n:] - W[:-n]))\n", " return R, np.full(R.size, 1 / R.size)\n", "\n", "us = np.array([prospect(*windows(stocks.to_numpy(), n)) for n in N])\n", "ub = np.array([prospect(*windows(bonds.to_numpy(), n)) for n in N])\n", "print(f\"months kept in history's order: stocks ahead from \"\n", " f\"{crossing(us, ub)} months\")\n", "for span, s, b in ((\"1928-1990\", stocks.loc[:\"1990-12\"],\n", " bonds.loc[:\"1990-11\"]),\n", " (\"1991-2026\", stocks.loc[\"1991-01\":],\n", " bonds.loc[\"1990-12\":])):\n", " print(f\"{span}: spread a year, stocks {s.std() * np.sqrt(12):.1%}, \"\n", " f\"bonds {b.std() * np.sqrt(12):.1%}\")" ] }, { "cell_type": "markdown", "id": "cefc5db4", "metadata": {}, "source": [ "Stocks' yearly spread fell from 20.4% before 1991 to 14.6% after, while the bond's rose from 5.2% to 6.2%: in the years that move every version earlier, the gap in risk between the two narrowed.\n", "\n", "One choice is Benartzi and Thaler's and matters more than any of these: drawing the months independently. Kept in history's order, the same 98 years put stocks ahead of the bond only from 18 months. Both answers use the same months; only their order differs. So the 9 describes a market whose months are independent of each other, which is what the draw assumes.\n", "\n", "## After Inflation\n", "\n", "Benartzi and Thaler gave most weight to nominal returns, because that is how returns are reported, and their real comparisons came out alike: the crossing was \"always between 9 and 12 months\". The plain counts are less forgiving. After inflation a yearly look showed a loss 29.9% of the time against 24.7% in dollars, a five-year look 21.8% against 10.5%, and a ten-year look 13.6% against 4.6%, three times as often. The felt value needs twice the patience: in real money it turns positive only from 115 trading days, about 23 weeks, against 56 in dollars. A longer gap between looks removes most of the losses on the statement, but fewer of the losses in what the money buys.\n", "\n", "## What the Numbers Show\n", "\n", "The two investors held the same fund through the same 98 years and saw different histories: the daily one a loss on 46.0% of his looks, the yearly one on 24.7%. For an investor who feels a loss 2.25 times as much as a gain, the daily history feels like a loss and the yearly one like a gain, and the turn comes at 56 trading days in dollars, 115 after inflation. Benartzi and Thaler's model, run on nearly the years they used, gives their answer back within a month, 11 months against their 11 to 12; with the years since, 9 months; with history's own order, 18.\n", "\n", "Experiments found the same in people. Uri Gneezy and Jan Potters (1997) found that \"the more frequently returns are evaluated, the more risk averse investors will be.\" In the experiment of Thaler, Tversky, Kahneman and Alan Schwartz (1997), \"The investors who got the most frequent feedback (and thus the most information) took the least risk and earned the least money.\"\n", "\n", "The one action the numbers support is to look less often, and they say how much less. For the S&P 500 to feel like a gain on average to an investor with λ = 2.25, the looks need to be at least 56 trading days apart, about once a quarter; for it to feel better than a 10-year bond in Benartzi and Thaler's model, about nine months, and longer if months are not independent. These are 98 years of one index and one bond, λ is Tversky and Kahneman's 1992 estimate, and none of it is a forecast." ] }, { "cell_type": "markdown", "id": "8e90089a", "metadata": {}, "source": [ "## Sources\n", "\n", "1. S. Benartzi and R. H. Thaler, \"Myopic Loss Aversion and the Equity Premium Puzzle\", *The Quarterly Journal of Economics* 110 (1995) 73–92, [doi:10.2307/2118511](https://doi.org/10.2307/2118511). The abstract is quoted from the journal version; the parameters, the simulation, the sensitivity results and Figure 1 are read in the working paper, [NBER Working Paper 4369](https://www.nber.org/papers/w4369) (May 1993), doi:10.3386/w4369.\n", "2. 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](https://doi.org/10.1007/BF00122574).\n", "3. U. Gneezy and J. Potters, \"An Experiment on Risk Taking and Evaluation Periods\", *The Quarterly Journal of Economics* 112 (1997) 631–645, [doi:10.1162/003355397555217](https://doi.org/10.1162/003355397555217).\n", "4. R. H. Thaler, A. Tversky, D. Kahneman and A. Schwartz, \"The Effect of Myopia and Loss Aversion on Risk Taking: An Experimental Test\", *The Quarterly Journal of Economics* 112 (1997) 647–661, [doi:10.1162/003355397555226](https://doi.org/10.1162/003355397555226).\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 (ie_data.xls), [shillerdata.com](https://shillerdata.com/): the S&P Composite dividend, the consumer price index, the long-term interest rate and the monthly total bond return.\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 }