{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "edd6645b",
   "metadata": {},
   "source": [
    "# How to Calculate Real Wage Growth Using CPI Data\n",
    "\n",
    "## Complete US BLS analysis\n",
    "\n",
    "This notebook reproduces the calculations used in the article. It compares average hourly earnings with CPI U so you can see whether pay rose faster or slower than consumer prices.\n",
    "\n",
    "### Exact formula\n",
    "\n",
    "\\[\n",
    "\\left(\\frac{W_1/W_0}{CPI_1/CPI_0}-1\\right)\\times 100\n",
    "\\]\n",
    "\n",
    "### Quick approximation\n",
    "\n",
    "\\[\n",
    "\\text{Nominal wage growth} - \\text{CPI inflation}\n",
    "\\]\n",
    "\n",
    "The exact ratio method is preferred when you want the most accurate result from the displayed values.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2785eed",
   "metadata": {},
   "source": [
    "## Data sources\n",
    "\n",
    "1. BLS Current Employment Statistics series CES0500000003, average hourly earnings of all employees in the total private sector.\n",
    "\n",
    "2. BLS CPI U series CUSR0000SA0, US city average, All items, seasonally adjusted.\n",
    "\n",
    "3. Analysis window: January 2024 through July 2026.\n",
    "\n",
    "4. October 2025 CPI is kept missing because the source snapshot has no published value for that month.\n",
    "\n",
    "Bulk data:\n",
    "\n",
    "https://download.bls.gov/pub/time.series/ce/ce.data.05b.TotalPrivate.AllEmployeeHoursAndEarnings\n",
    "\n",
    "https://download.bls.gov/pub/time.series/cu/cu.data.1.AllItems\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7b6943d4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:55.548986Z",
     "iopub.status.busy": "2026-08-21T07:54:55.548863Z",
     "iopub.status.idle": "2026-08-21T07:54:55.862796Z",
     "shell.execute_reply": "2026-08-21T07:54:55.862372Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>label</th>\n",
       "      <th>wage</th>\n",
       "      <th>cpi</th>\n",
       "      <th>nominalGrowth</th>\n",
       "      <th>inflation</th>\n",
       "      <th>realGrowth</th>\n",
       "      <th>approxGrowth</th>\n",
       "      <th>nominalIndex</th>\n",
       "      <th>cpiIndex</th>\n",
       "      <th>realIndex</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2024-01-01</td>\n",
       "      <td>Jan 2024</td>\n",
       "      <td>34.47</td>\n",
       "      <td>309.698</td>\n",
       "      <td>4.391</td>\n",
       "      <td>3.088</td>\n",
       "      <td>1.264</td>\n",
       "      <td>1.303</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2024-02-01</td>\n",
       "      <td>Feb 2024</td>\n",
       "      <td>34.52</td>\n",
       "      <td>310.967</td>\n",
       "      <td>4.133</td>\n",
       "      <td>3.157</td>\n",
       "      <td>0.946</td>\n",
       "      <td>0.976</td>\n",
       "      <td>100.145</td>\n",
       "      <td>100.410</td>\n",
       "      <td>99.736</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2024-03-01</td>\n",
       "      <td>Mar 2024</td>\n",
       "      <td>34.65</td>\n",
       "      <td>312.345</td>\n",
       "      <td>4.148</td>\n",
       "      <td>3.487</td>\n",
       "      <td>0.639</td>\n",
       "      <td>0.661</td>\n",
       "      <td>100.522</td>\n",
       "      <td>100.855</td>\n",
       "      <td>99.670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2024-04-01</td>\n",
       "      <td>Apr 2024</td>\n",
       "      <td>34.76</td>\n",
       "      <td>313.023</td>\n",
       "      <td>3.978</td>\n",
       "      <td>3.361</td>\n",
       "      <td>0.598</td>\n",
       "      <td>0.618</td>\n",
       "      <td>100.841</td>\n",
       "      <td>101.074</td>\n",
       "      <td>99.770</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2024-05-01</td>\n",
       "      <td>May 2024</td>\n",
       "      <td>34.89</td>\n",
       "      <td>313.175</td>\n",
       "      <td>4.149</td>\n",
       "      <td>3.244</td>\n",
       "      <td>0.877</td>\n",
       "      <td>0.905</td>\n",
       "      <td>101.218</td>\n",
       "      <td>101.123</td>\n",
       "      <td>100.095</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date     label   wage  ...  nominalIndex  cpiIndex  realIndex\n",
       "0 2024-01-01  Jan 2024  34.47  ...       100.000   100.000    100.000\n",
       "1 2024-02-01  Feb 2024  34.52  ...       100.145   100.410     99.736\n",
       "2 2024-03-01  Mar 2024  34.65  ...       100.522   100.855     99.670\n",
       "3 2024-04-01  Apr 2024  34.76  ...       100.841   101.074     99.770\n",
       "4 2024-05-01  May 2024  34.89  ...       101.218   101.123    100.095\n",
       "\n",
       "[5 rows x 11 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import display, HTML\n",
    "from matplotlib.animation import FuncAnimation\n",
    "\n",
    "DATA = [{'date': '2024-01-01', 'label': 'Jan 2024', 'wage': 34.47, 'cpi': 309.698, 'nominalGrowth': 4.391, 'inflation': 3.088, 'realGrowth': 1.264, 'approxGrowth': 1.303, 'nominalIndex': 100.0, 'cpiIndex': 100.0, 'realIndex': 100.0}, {'date': '2024-02-01', 'label': 'Feb 2024', 'wage': 34.52, 'cpi': 310.967, 'nominalGrowth': 4.133, 'inflation': 3.157, 'realGrowth': 0.946, 'approxGrowth': 0.976, 'nominalIndex': 100.145, 'cpiIndex': 100.41, 'realIndex': 99.736}, {'date': '2024-03-01', 'label': 'Mar 2024', 'wage': 34.65, 'cpi': 312.345, 'nominalGrowth': 4.148, 'inflation': 3.487, 'realGrowth': 0.639, 'approxGrowth': 0.661, 'nominalIndex': 100.522, 'cpiIndex': 100.855, 'realIndex': 99.67}, {'date': '2024-04-01', 'label': 'Apr 2024', 'wage': 34.76, 'cpi': 313.023, 'nominalGrowth': 3.978, 'inflation': 3.361, 'realGrowth': 0.598, 'approxGrowth': 0.618, 'nominalIndex': 100.841, 'cpiIndex': 101.074, 'realIndex': 99.77}, {'date': '2024-05-01', 'label': 'May 2024', 'wage': 34.89, 'cpi': 313.175, 'nominalGrowth': 4.149, 'inflation': 3.244, 'realGrowth': 0.877, 'approxGrowth': 0.905, 'nominalIndex': 101.218, 'cpiIndex': 101.123, 'realIndex': 100.095}, {'date': '2024-06-01', 'label': 'Jun 2024', 'wage': 35.01, 'cpi': 313.044, 'nominalGrowth': 3.918, 'inflation': 2.97, 'realGrowth': 0.92, 'approxGrowth': 0.948, 'nominalIndex': 101.567, 'cpiIndex': 101.08, 'realIndex': 100.481}, {'date': '2024-07-01', 'label': 'Jul 2024', 'wage': 35.08, 'cpi': 313.569, 'nominalGrowth': 3.634, 'inflation': 2.941, 'realGrowth': 0.672, 'approxGrowth': 0.692, 'nominalIndex': 101.77, 'cpiIndex': 101.25, 'realIndex': 100.513}, {'date': '2024-08-01', 'label': 'Aug 2024', 'wage': 35.22, 'cpi': 314.062, 'nominalGrowth': 3.924, 'inflation': 2.607, 'realGrowth': 1.284, 'approxGrowth': 1.317, 'nominalIndex': 102.176, 'cpiIndex': 101.409, 'realIndex': 100.756}, {'date': '2024-09-01', 'label': 'Sep 2024', 'wage': 35.34, 'cpi': 314.732, 'nominalGrowth': 3.911, 'inflation': 2.426, 'realGrowth': 1.449, 'approxGrowth': 1.484, 'nominalIndex': 102.524, 'cpiIndex': 101.625, 'realIndex': 100.884}, {'date': '2024-10-01', 'label': 'Oct 2024', 'wage': 35.46, 'cpi': 315.631, 'nominalGrowth': 4.049, 'inflation': 2.579, 'realGrowth': 1.433, 'approxGrowth': 1.47, 'nominalIndex': 102.872, 'cpiIndex': 101.916, 'realIndex': 100.938}, {'date': '2024-11-01', 'label': 'Nov 2024', 'wage': 35.6, 'cpi': 316.528, 'nominalGrowth': 4.185, 'inflation': 2.719, 'realGrowth': 1.427, 'approxGrowth': 1.465, 'nominalIndex': 103.278, 'cpiIndex': 102.205, 'realIndex': 101.05}, {'date': '2024-12-01', 'label': 'Dec 2024', 'wage': 35.69, 'cpi': 317.604, 'nominalGrowth': 4.083, 'inflation': 2.871, 'realGrowth': 1.178, 'approxGrowth': 1.212, 'nominalIndex': 103.539, 'cpiIndex': 102.553, 'realIndex': 100.962}, {'date': '2025-01-01', 'label': 'Jan 2025', 'wage': 35.84, 'cpi': 318.961, 'nominalGrowth': 3.974, 'inflation': 2.991, 'realGrowth': 0.955, 'approxGrowth': 0.983, 'nominalIndex': 103.974, 'cpiIndex': 102.991, 'realIndex': 100.955}, {'date': '2025-02-01', 'label': 'Feb 2025', 'wage': 35.94, 'cpi': 319.679, 'nominalGrowth': 4.114, 'inflation': 2.802, 'realGrowth': 1.276, 'approxGrowth': 1.312, 'nominalIndex': 104.265, 'cpiIndex': 103.223, 'realIndex': 101.009}, {'date': '2025-03-01', 'label': 'Mar 2025', 'wage': 36.11, 'cpi': 319.785, 'nominalGrowth': 4.214, 'inflation': 2.382, 'realGrowth': 1.789, 'approxGrowth': 1.832, 'nominalIndex': 104.758, 'cpiIndex': 103.257, 'realIndex': 101.453}, {'date': '2025-04-01', 'label': 'Apr 2025', 'wage': 36.12, 'cpi': 320.302, 'nominalGrowth': 3.913, 'inflation': 2.325, 'realGrowth': 1.551, 'approxGrowth': 1.587, 'nominalIndex': 104.787, 'cpiIndex': 103.424, 'realIndex': 101.318}, {'date': '2025-05-01', 'label': 'May 2025', 'wage': 36.28, 'cpi': 320.62, 'nominalGrowth': 3.984, 'inflation': 2.377, 'realGrowth': 1.569, 'approxGrowth': 1.607, 'nominalIndex': 105.251, 'cpiIndex': 103.527, 'realIndex': 101.666}, {'date': '2025-06-01', 'label': 'Jun 2025', 'wage': 36.36, 'cpi': 321.435, 'nominalGrowth': 3.856, 'inflation': 2.68, 'realGrowth': 1.145, 'approxGrowth': 1.176, 'nominalIndex': 105.483, 'cpiIndex': 103.79, 'realIndex': 101.631}, {'date': '2025-07-01', 'label': 'Jul 2025', 'wage': 36.47, 'cpi': 322.169, 'nominalGrowth': 3.962, 'inflation': 2.743, 'realGrowth': 1.187, 'approxGrowth': 1.22, 'nominalIndex': 105.802, 'cpiIndex': 104.027, 'realIndex': 101.707}, {'date': '2025-08-01', 'label': 'Aug 2025', 'wage': 36.62, 'cpi': 323.291, 'nominalGrowth': 3.975, 'inflation': 2.939, 'realGrowth': 1.007, 'approxGrowth': 1.036, 'nominalIndex': 106.237, 'cpiIndex': 104.389, 'realIndex': 101.77}, {'date': '2025-09-01', 'label': 'Sep 2025', 'wage': 36.7, 'cpi': 324.245, 'nominalGrowth': 3.848, 'inflation': 3.023, 'realGrowth': 0.802, 'approxGrowth': 0.826, 'nominalIndex': 106.469, 'cpiIndex': 104.697, 'realIndex': 101.693}, {'date': '2025-10-01', 'label': 'Oct 2025', 'wage': 36.85, 'cpi': None, 'nominalGrowth': 3.92, 'inflation': None, 'realGrowth': None, 'approxGrowth': None, 'nominalIndex': 106.905, 'cpiIndex': None, 'realIndex': None}, {'date': '2025-11-01', 'label': 'Nov 2025', 'wage': 37.0, 'cpi': 325.063, 'nominalGrowth': 3.933, 'inflation': 2.696, 'realGrowth': 1.204, 'approxGrowth': 1.236, 'nominalIndex': 107.34, 'cpiIndex': 104.961, 'realIndex': 102.266}, {'date': '2025-12-01', 'label': 'Dec 2025', 'wage': 37.02, 'cpi': 326.031, 'nominalGrowth': 3.727, 'inflation': 2.653, 'realGrowth': 1.045, 'approxGrowth': 1.073, 'nominalIndex': 107.398, 'cpiIndex': 105.274, 'realIndex': 102.017}, {'date': '2026-01-01', 'label': 'Jan 2026', 'wage': 37.15, 'cpi': 326.588, 'nominalGrowth': 3.655, 'inflation': 2.391, 'realGrowth': 1.234, 'approxGrowth': 1.264, 'nominalIndex': 107.775, 'cpiIndex': 105.454, 'realIndex': 102.201}, {'date': '2026-02-01', 'label': 'Feb 2026', 'wage': 37.27, 'cpi': 327.46, 'nominalGrowth': 3.701, 'inflation': 2.434, 'realGrowth': 1.237, 'approxGrowth': 1.267, 'nominalIndex': 108.123, 'cpiIndex': 105.735, 'realIndex': 102.258}, {'date': '2026-03-01', 'label': 'Mar 2026', 'wage': 37.35, 'cpi': 330.293, 'nominalGrowth': 3.434, 'inflation': 3.286, 'realGrowth': 0.143, 'approxGrowth': 0.148, 'nominalIndex': 108.355, 'cpiIndex': 106.65, 'realIndex': 101.599}, {'date': '2026-04-01', 'label': 'Apr 2026', 'wage': 37.41, 'cpi': 332.407, 'nominalGrowth': 3.571, 'inflation': 3.779, 'realGrowth': -0.2, 'approxGrowth': -0.208, 'nominalIndex': 108.529, 'cpiIndex': 107.333, 'realIndex': 101.115}, {'date': '2026-05-01', 'label': 'May 2026', 'wage': 37.49, 'cpi': 333.979, 'nominalGrowth': 3.335, 'inflation': 4.167, 'realGrowth': -0.798, 'approxGrowth': -0.831, 'nominalIndex': 108.761, 'cpiIndex': 107.84, 'realIndex': 100.854}, {'date': '2026-06-01', 'label': 'Jun 2026', 'wage': 37.6, 'cpi': 332.568, 'nominalGrowth': 3.41, 'inflation': 3.464, 'realGrowth': -0.051, 'approxGrowth': -0.053, 'nominalIndex': 109.08, 'cpiIndex': 107.385, 'realIndex': 101.579}, {'date': '2026-07-01', 'label': 'Jul 2026', 'wage': 37.62, 'cpi': 332.813, 'nominalGrowth': 3.153, 'inflation': 3.304, 'realGrowth': -0.146, 'approxGrowth': -0.151, 'nominalIndex': 109.138, 'cpiIndex': 107.464, 'realIndex': 101.558}]\n",
    "\n",
    "df = pd.DataFrame(DATA)\n",
    "df[\"date\"] = pd.to_datetime(df[\"date\"])\n",
    "\n",
    "numeric_cols = [\n",
    "    \"wage\", \"cpi\", \"nominalGrowth\", \"inflation\", \"realGrowth\",\n",
    "    \"approxGrowth\", \"nominalIndex\", \"cpiIndex\", \"realIndex\"\n",
    "]\n",
    "for col in numeric_cols:\n",
    "    df[col] = pd.to_numeric(df[col], errors=\"coerce\")\n",
    "\n",
    "display(df.head())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a86a5ebe",
   "metadata": {},
   "source": [
    "## Data quality check\n",
    "\n",
    "This section confirms the date range, number of monthly rows, duplicate dates, and missing values.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ff239a76",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:55.864132Z",
     "iopub.status.busy": "2026-08-21T07:54:55.863960Z",
     "iopub.status.idle": "2026-08-21T07:54:55.870405Z",
     "shell.execute_reply": "2026-08-21T07:54:55.869965Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Check</th>\n",
       "      <th>Result</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>First month</td>\n",
       "      <td>January 2024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Last month</td>\n",
       "      <td>July 2026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Monthly rows</td>\n",
       "      <td>31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Duplicate months</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Missing wage values</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Missing CPI values</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 Check        Result\n",
       "0          First month  January 2024\n",
       "1           Last month     July 2026\n",
       "2         Monthly rows            31\n",
       "3     Duplicate months             0\n",
       "4  Missing wage values             0\n",
       "5   Missing CPI values             1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quality = pd.DataFrame({\n",
    "    \"Check\": [\n",
    "        \"First month\",\n",
    "        \"Last month\",\n",
    "        \"Monthly rows\",\n",
    "        \"Duplicate months\",\n",
    "        \"Missing wage values\",\n",
    "        \"Missing CPI values\"\n",
    "    ],\n",
    "    \"Result\": [\n",
    "        df[\"date\"].min().strftime(\"%B %Y\"),\n",
    "        df[\"date\"].max().strftime(\"%B %Y\"),\n",
    "        len(df),\n",
    "        int(df[\"date\"].duplicated().sum()),\n",
    "        int(df[\"wage\"].isna().sum()),\n",
    "        int(df[\"cpi\"].isna().sum())\n",
    "    ]\n",
    "})\n",
    "display(quality)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64dbeebc",
   "metadata": {},
   "source": [
    "## Recalculate year over year growth\n",
    "\n",
    "The next cell rebuilds nominal wage growth, CPI inflation, exact real wage growth, and the subtraction approximation from the raw levels.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0b70d935",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:55.871739Z",
     "iopub.status.busy": "2026-08-21T07:54:55.871637Z",
     "iopub.status.idle": "2026-08-21T07:54:55.886000Z",
     "shell.execute_reply": "2026-08-21T07:54:55.885531Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>wage</th>\n",
       "      <th>cpi</th>\n",
       "      <th>wage_12m_ago</th>\n",
       "      <th>cpi_12m_ago</th>\n",
       "      <th>nominal_growth_calc</th>\n",
       "      <th>inflation_calc</th>\n",
       "      <th>real_growth_exact_calc</th>\n",
       "      <th>real_growth_approx_calc</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2025-08-01</td>\n",
       "      <td>36.62</td>\n",
       "      <td>323.291</td>\n",
       "      <td>35.22</td>\n",
       "      <td>314.062</td>\n",
       "      <td>3.975</td>\n",
       "      <td>2.939</td>\n",
       "      <td>1.007</td>\n",
       "      <td>1.036</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2025-09-01</td>\n",
       "      <td>36.70</td>\n",
       "      <td>324.245</td>\n",
       "      <td>35.34</td>\n",
       "      <td>314.732</td>\n",
       "      <td>3.848</td>\n",
       "      <td>3.023</td>\n",
       "      <td>0.802</td>\n",
       "      <td>0.826</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2025-10-01</td>\n",
       "      <td>36.85</td>\n",
       "      <td>NaN</td>\n",
       "      <td>35.46</td>\n",
       "      <td>315.631</td>\n",
       "      <td>3.920</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>2025-11-01</td>\n",
       "      <td>37.00</td>\n",
       "      <td>325.063</td>\n",
       "      <td>35.60</td>\n",
       "      <td>316.528</td>\n",
       "      <td>3.933</td>\n",
       "      <td>2.696</td>\n",
       "      <td>1.204</td>\n",
       "      <td>1.236</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>2025-12-01</td>\n",
       "      <td>37.02</td>\n",
       "      <td>326.031</td>\n",
       "      <td>35.69</td>\n",
       "      <td>317.604</td>\n",
       "      <td>3.727</td>\n",
       "      <td>2.653</td>\n",
       "      <td>1.045</td>\n",
       "      <td>1.073</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2026-01-01</td>\n",
       "      <td>37.15</td>\n",
       "      <td>326.588</td>\n",
       "      <td>35.84</td>\n",
       "      <td>318.961</td>\n",
       "      <td>3.655</td>\n",
       "      <td>2.391</td>\n",
       "      <td>1.234</td>\n",
       "      <td>1.264</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>2026-02-01</td>\n",
       "      <td>37.27</td>\n",
       "      <td>327.460</td>\n",
       "      <td>35.94</td>\n",
       "      <td>319.679</td>\n",
       "      <td>3.701</td>\n",
       "      <td>2.434</td>\n",
       "      <td>1.237</td>\n",
       "      <td>1.267</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2026-03-01</td>\n",
       "      <td>37.35</td>\n",
       "      <td>330.293</td>\n",
       "      <td>36.11</td>\n",
       "      <td>319.785</td>\n",
       "      <td>3.434</td>\n",
       "      <td>3.286</td>\n",
       "      <td>0.143</td>\n",
       "      <td>0.148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2026-04-01</td>\n",
       "      <td>37.41</td>\n",
       "      <td>332.407</td>\n",
       "      <td>36.12</td>\n",
       "      <td>320.302</td>\n",
       "      <td>3.571</td>\n",
       "      <td>3.779</td>\n",
       "      <td>-0.200</td>\n",
       "      <td>-0.208</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2026-05-01</td>\n",
       "      <td>37.49</td>\n",
       "      <td>333.979</td>\n",
       "      <td>36.28</td>\n",
       "      <td>320.620</td>\n",
       "      <td>3.335</td>\n",
       "      <td>4.167</td>\n",
       "      <td>-0.798</td>\n",
       "      <td>-0.831</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2026-06-01</td>\n",
       "      <td>37.60</td>\n",
       "      <td>332.568</td>\n",
       "      <td>36.36</td>\n",
       "      <td>321.435</td>\n",
       "      <td>3.410</td>\n",
       "      <td>3.464</td>\n",
       "      <td>-0.051</td>\n",
       "      <td>-0.053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>2026-07-01</td>\n",
       "      <td>37.62</td>\n",
       "      <td>332.813</td>\n",
       "      <td>36.47</td>\n",
       "      <td>322.169</td>\n",
       "      <td>3.153</td>\n",
       "      <td>3.304</td>\n",
       "      <td>-0.146</td>\n",
       "      <td>-0.151</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         date   wage  ...  real_growth_exact_calc  real_growth_approx_calc\n",
       "19 2025-08-01  36.62  ...                   1.007                    1.036\n",
       "20 2025-09-01  36.70  ...                   0.802                    0.826\n",
       "21 2025-10-01  36.85  ...                     NaN                      NaN\n",
       "22 2025-11-01  37.00  ...                   1.204                    1.236\n",
       "23 2025-12-01  37.02  ...                   1.045                    1.073\n",
       "24 2026-01-01  37.15  ...                   1.234                    1.264\n",
       "25 2026-02-01  37.27  ...                   1.237                    1.267\n",
       "26 2026-03-01  37.35  ...                   0.143                    0.148\n",
       "27 2026-04-01  37.41  ...                  -0.200                   -0.208\n",
       "28 2026-05-01  37.49  ...                  -0.798                   -0.831\n",
       "29 2026-06-01  37.60  ...                  -0.051                   -0.053\n",
       "30 2026-07-01  37.62  ...                  -0.146                   -0.151\n",
       "\n",
       "[12 rows x 9 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "calc = df[[\"date\", \"wage\", \"cpi\"]].copy()\n",
    "calc[\"wage_12m_ago\"] = calc[\"wage\"].shift(12)\n",
    "calc[\"cpi_12m_ago\"] = calc[\"cpi\"].shift(12)\n",
    "\n",
    "calc[\"nominal_growth_calc\"] = (calc[\"wage\"] / calc[\"wage_12m_ago\"] - 1) * 100\n",
    "calc[\"inflation_calc\"] = (calc[\"cpi\"] / calc[\"cpi_12m_ago\"] - 1) * 100\n",
    "calc[\"real_growth_exact_calc\"] = (\n",
    "    (calc[\"wage\"] / calc[\"wage_12m_ago\"]) /\n",
    "    (calc[\"cpi\"] / calc[\"cpi_12m_ago\"]) - 1\n",
    ") * 100\n",
    "calc[\"real_growth_approx_calc\"] = (\n",
    "    calc[\"nominal_growth_calc\"] - calc[\"inflation_calc\"]\n",
    ")\n",
    "\n",
    "display(calc.tail(12).round(3))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "200cc00a",
   "metadata": {},
   "source": [
    "## Worked BLS example: July 2025 to July 2026\n",
    "\n",
    "The article uses these displayed values:\n",
    "\n",
    "July 2025 hourly wage: $36.47\n",
    "\n",
    "July 2026 hourly wage: $37.62\n",
    "\n",
    "July 2025 CPI U: 322.169\n",
    "\n",
    "July 2026 CPI U: 332.813\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "342c6ef5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:55.887422Z",
     "iopub.status.busy": "2026-08-21T07:54:55.887290Z",
     "iopub.status.idle": "2026-08-21T07:54:55.894789Z",
     "shell.execute_reply": "2026-08-21T07:54:55.894390Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Measure</th>\n",
       "      <th>Value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Earlier hourly wage</td>\n",
       "      <td>$36.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Current hourly wage</td>\n",
       "      <td>$37.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Earlier CPI U</td>\n",
       "      <td>322.169</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Current CPI U</td>\n",
       "      <td>332.813</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Nominal wage growth percent</td>\n",
       "      <td>3.1533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>CPI inflation percent</td>\n",
       "      <td>3.3039</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Exact real wage growth percent</td>\n",
       "      <td>-0.1458</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Approximate real wage growth percent</td>\n",
       "      <td>-0.1506</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                Measure    Value\n",
       "0                   Earlier hourly wage   $36.47\n",
       "1                   Current hourly wage   $37.62\n",
       "2                         Earlier CPI U  322.169\n",
       "3                         Current CPI U  332.813\n",
       "4           Nominal wage growth percent   3.1533\n",
       "5                 CPI inflation percent   3.3039\n",
       "6        Exact real wage growth percent  -0.1458\n",
       "7  Approximate real wage growth percent  -0.1506"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "start = df.loc[df[\"date\"].eq(pd.Timestamp(\"2025-07-01\"))].iloc[0]\n",
    "end = df.loc[df[\"date\"].eq(pd.Timestamp(\"2026-07-01\"))].iloc[0]\n",
    "\n",
    "wage_factor = end[\"wage\"] / start[\"wage\"]\n",
    "cpi_factor = end[\"cpi\"] / start[\"cpi\"]\n",
    "\n",
    "nominal_growth = (wage_factor - 1) * 100\n",
    "cpi_inflation = (cpi_factor - 1) * 100\n",
    "exact_real_growth = (wage_factor / cpi_factor - 1) * 100\n",
    "approx_real_growth = nominal_growth - cpi_inflation\n",
    "\n",
    "worked = pd.DataFrame({\n",
    "    \"Measure\": [\n",
    "        \"Earlier hourly wage\",\n",
    "        \"Current hourly wage\",\n",
    "        \"Earlier CPI U\",\n",
    "        \"Current CPI U\",\n",
    "        \"Nominal wage growth percent\",\n",
    "        \"CPI inflation percent\",\n",
    "        \"Exact real wage growth percent\",\n",
    "        \"Approximate real wage growth percent\"\n",
    "    ],\n",
    "    \"Value\": [\n",
    "        f\"${start['wage']:.2f}\",\n",
    "        f\"${end['wage']:.2f}\",\n",
    "        f\"{start['cpi']:.3f}\",\n",
    "        f\"{end['cpi']:.3f}\",\n",
    "        f\"{nominal_growth:.4f}\",\n",
    "        f\"{cpi_inflation:.4f}\",\n",
    "        f\"{exact_real_growth:.4f}\",\n",
    "        f\"{approx_real_growth:.4f}\"\n",
    "    ]\n",
    "})\n",
    "display(worked)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f8e754d",
   "metadata": {},
   "source": [
    "## Interpretation\n",
    "\n",
    "A positive result means wages rose faster than CPI.\n",
    "\n",
    "A result near zero means wages and prices moved at almost the same pace.\n",
    "\n",
    "A negative result means prices rose faster than wages.\n",
    "\n",
    "For July 2025 to July 2026, the exact result from the displayed values is about minus 0.15 percent. Pay rose in dollar terms, but broad consumer prices rose a little faster.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b77f9880",
   "metadata": {},
   "source": [
    "## Indexed trend chart\n",
    "\n",
    "This chart rebases nominal wages, CPI U, and real wages to 100 in January 2024.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "87eba61c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:55.896153Z",
     "iopub.status.busy": "2026-08-21T07:54:55.895958Z",
     "iopub.status.idle": "2026-08-21T07:54:56.104201Z",
     "shell.execute_reply": "2026-08-21T07:54:56.103643Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(11, 6))\n",
    "ax.plot(df[\"date\"], df[\"nominalIndex\"], label=\"Nominal wage index\")\n",
    "ax.plot(df[\"date\"], df[\"cpiIndex\"], label=\"CPI U index\")\n",
    "ax.plot(df[\"date\"], df[\"realIndex\"], label=\"Real wage index\")\n",
    "ax.set_title(\"US Wages, CPI U, and Real Wages, January 2024 = 100\")\n",
    "ax.set_xlabel(\"Month\")\n",
    "ax.set_ylabel(\"Index\")\n",
    "ax.legend()\n",
    "ax.grid(True, alpha=0.25)\n",
    "plt.xticks(rotation=45)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8ebea9a",
   "metadata": {},
   "source": [
    "## Year over year wage growth and inflation\n",
    "\n",
    "This chart shows when nominal wage growth was above or below CPI inflation.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e4a7cee9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:56.105440Z",
     "iopub.status.busy": "2026-08-21T07:54:56.105317Z",
     "iopub.status.idle": "2026-08-21T07:54:56.248879Z",
     "shell.execute_reply": "2026-08-21T07:54:56.248352Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(11, 6))\n",
    "ax.plot(df[\"date\"], df[\"nominalGrowth\"], label=\"Nominal wage growth\")\n",
    "ax.plot(df[\"date\"], df[\"inflation\"], label=\"CPI inflation\")\n",
    "ax.plot(df[\"date\"], df[\"realGrowth\"], label=\"Exact real wage growth\")\n",
    "ax.axhline(0, linewidth=1)\n",
    "ax.set_title(\"US Year Over Year Wage Growth, CPI Inflation, and Real Wage Growth\")\n",
    "ax.set_xlabel(\"Month\")\n",
    "ax.set_ylabel(\"Percent\")\n",
    "ax.legend()\n",
    "ax.grid(True, alpha=0.25)\n",
    "plt.xticks(rotation=45)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d199018",
   "metadata": {},
   "source": [
    "## Exact method compared with the shortcut\n",
    "\n",
    "The subtraction method is useful for a quick estimate. The ratio method is the better final answer because it handles compounding correctly.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8dbd0883",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:56.250118Z",
     "iopub.status.busy": "2026-08-21T07:54:56.250016Z",
     "iopub.status.idle": "2026-08-21T07:54:56.406332Z",
     "shell.execute_reply": "2026-08-21T07:54:56.405921Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>realGrowth</th>\n",
       "      <th>approxGrowth</th>\n",
       "      <th>difference_points</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2025-08-01</td>\n",
       "      <td>1.007</td>\n",
       "      <td>1.036</td>\n",
       "      <td>0.029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2025-09-01</td>\n",
       "      <td>0.802</td>\n",
       "      <td>0.826</td>\n",
       "      <td>0.024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2025-10-01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>2025-11-01</td>\n",
       "      <td>1.204</td>\n",
       "      <td>1.236</td>\n",
       "      <td>0.032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>2025-12-01</td>\n",
       "      <td>1.045</td>\n",
       "      <td>1.073</td>\n",
       "      <td>0.028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2026-01-01</td>\n",
       "      <td>1.234</td>\n",
       "      <td>1.264</td>\n",
       "      <td>0.030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>2026-02-01</td>\n",
       "      <td>1.237</td>\n",
       "      <td>1.267</td>\n",
       "      <td>0.030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2026-03-01</td>\n",
       "      <td>0.143</td>\n",
       "      <td>0.148</td>\n",
       "      <td>0.005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2026-04-01</td>\n",
       "      <td>-0.200</td>\n",
       "      <td>-0.208</td>\n",
       "      <td>-0.008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2026-05-01</td>\n",
       "      <td>-0.798</td>\n",
       "      <td>-0.831</td>\n",
       "      <td>-0.033</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2026-06-01</td>\n",
       "      <td>-0.051</td>\n",
       "      <td>-0.053</td>\n",
       "      <td>-0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>2026-07-01</td>\n",
       "      <td>-0.146</td>\n",
       "      <td>-0.151</td>\n",
       "      <td>-0.005</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         date  realGrowth  approxGrowth  difference_points\n",
       "19 2025-08-01       1.007         1.036              0.029\n",
       "20 2025-09-01       0.802         0.826              0.024\n",
       "21 2025-10-01         NaN           NaN                NaN\n",
       "22 2025-11-01       1.204         1.236              0.032\n",
       "23 2025-12-01       1.045         1.073              0.028\n",
       "24 2026-01-01       1.234         1.264              0.030\n",
       "25 2026-02-01       1.237         1.267              0.030\n",
       "26 2026-03-01       0.143         0.148              0.005\n",
       "27 2026-04-01      -0.200        -0.208             -0.008\n",
       "28 2026-05-01      -0.798        -0.831             -0.033\n",
       "29 2026-06-01      -0.051        -0.053             -0.002\n",
       "30 2026-07-01      -0.146        -0.151             -0.005"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "comparison = df[[\"date\", \"realGrowth\", \"approxGrowth\"]].copy()\n",
    "comparison[\"difference_points\"] = comparison[\"approxGrowth\"] - comparison[\"realGrowth\"]\n",
    "display(comparison.tail(12).round(4))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(11, 6))\n",
    "ax.plot(comparison[\"date\"], comparison[\"realGrowth\"], label=\"Exact real wage growth\")\n",
    "ax.plot(comparison[\"date\"], comparison[\"approxGrowth\"], label=\"Approximation\")\n",
    "ax.axhline(0, linewidth=1)\n",
    "ax.set_title(\"Exact Real Wage Growth Compared with the Approximation\")\n",
    "ax.set_xlabel(\"Month\")\n",
    "ax.set_ylabel(\"Percent\")\n",
    "ax.legend()\n",
    "ax.grid(True, alpha=0.25)\n",
    "plt.xticks(rotation=45)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb067926",
   "metadata": {},
   "source": [
    "## Purchasing power example\n",
    "\n",
    "You can also convert a current wage into earlier period dollars.\n",
    "\n",
    "\\[\n",
    "\\text{Real wage in base period dollars}\n",
    "=\n",
    "\\text{Current nominal wage}\n",
    "\\times\n",
    "\\frac{\\text{Base CPI}}{\\text{Current CPI}}\n",
    "\\]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9e2759df",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:56.407820Z",
     "iopub.status.busy": "2026-08-21T07:54:56.407712Z",
     "iopub.status.idle": "2026-08-21T07:54:56.413661Z",
     "shell.execute_reply": "2026-08-21T07:54:56.413340Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Measure</th>\n",
       "      <th>Value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>July 2025 nominal hourly wage</td>\n",
       "      <td>$36.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>July 2026 nominal hourly wage</td>\n",
       "      <td>$37.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>July 2026 wage in July 2025 dollars</td>\n",
       "      <td>$36.42</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               Measure   Value\n",
       "0        July 2025 nominal hourly wage  $36.47\n",
       "1        July 2026 nominal hourly wage  $37.62\n",
       "2  July 2026 wage in July 2025 dollars  $36.42"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "real_wage_in_july_2025_dollars = end[\"wage\"] * (start[\"cpi\"] / end[\"cpi\"])\n",
    "\n",
    "purchasing_power = pd.DataFrame({\n",
    "    \"Measure\": [\n",
    "        \"July 2025 nominal hourly wage\",\n",
    "        \"July 2026 nominal hourly wage\",\n",
    "        \"July 2026 wage in July 2025 dollars\"\n",
    "    ],\n",
    "    \"Value\": [\n",
    "        f\"${start['wage']:.2f}\",\n",
    "        f\"${end['wage']:.2f}\",\n",
    "        f\"${real_wage_in_july_2025_dollars:.2f}\"\n",
    "    ]\n",
    "})\n",
    "display(purchasing_power)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6fea09e5",
   "metadata": {},
   "source": [
    "## Animated plot\n",
    "\n",
    "Run this cell in Jupyter Notebook or JupyterLab. It animates nominal wages, CPI U, and real wages month by month.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "80524d20",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:56.414738Z",
     "iopub.status.busy": "2026-08-21T07:54:56.414640Z",
     "iopub.status.idle": "2026-08-21T07:54:58.742916Z",
     "shell.execute_reply": "2026-08-21T07:54:58.742252Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img2476f20db94547cbab9f95aebcc8d8e9\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider2476f20db94547cbab9f95aebcc8d8e9\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim2476f20db94547cbab9f95aebcc8d8e9.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim2476f20db94547cbab9f95aebcc8d8e9.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select2476f20db94547cbab9f95aebcc8d8e9\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_2476f20db94547cbab9f95aebcc8d8e9\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_2476f20db94547cbab9f95aebcc8d8e9\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_2476f20db94547cbab9f95aebcc8d8e9\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_2476f20db94547cbab9f95aebcc8d8e9\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_2476f20db94547cbab9f95aebcc8d8e9\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_2476f20db94547cbab9f95aebcc8d8e9\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img2476f20db94547cbab9f95aebcc8d8e9\";\n",
       "    var slider_id = \"_anim_slider2476f20db94547cbab9f95aebcc8d8e9\";\n",
       "    var loop_select_id = \"_anim_loop_select2476f20db94547cbab9f95aebcc8d8e9\";\n",
       "    var frames = new Array(31);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABEwAAAJYCAYAAAB4lnMNAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim2476f20db94547cbab9f95aebcc8d8e9 = new Animation(frames, img_id, slider_id, 180.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_df = df.copy()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(11, 6))\n",
    "ax.set_xlim(plot_df[\"date\"].min(), plot_df[\"date\"].max())\n",
    "\n",
    "valid_values = pd.concat([\n",
    "    plot_df[\"nominalIndex\"],\n",
    "    plot_df[\"cpiIndex\"],\n",
    "    plot_df[\"realIndex\"]\n",
    "]).dropna()\n",
    "\n",
    "ax.set_ylim(valid_values.min() - 1, valid_values.max() + 1)\n",
    "ax.set_xlabel(\"Month\")\n",
    "ax.set_ylabel(\"Index, January 2024 = 100\")\n",
    "ax.grid(True, alpha=0.25)\n",
    "\n",
    "line_wage, = ax.plot([], [], label=\"Nominal wage index\")\n",
    "line_cpi, = ax.plot([], [], label=\"CPI U index\")\n",
    "line_real, = ax.plot([], [], label=\"Real wage index\")\n",
    "ax.legend()\n",
    "\n",
    "def update(frame):\n",
    "    current = plot_df.iloc[:frame + 1]\n",
    "    line_wage.set_data(current[\"date\"], current[\"nominalIndex\"])\n",
    "    line_cpi.set_data(current[\"date\"], current[\"cpiIndex\"])\n",
    "    line_real.set_data(current[\"date\"], current[\"realIndex\"])\n",
    "    ax.set_title(f\"US Wages, CPI U, and Real Wages | {current.iloc[-1]['label']}\")\n",
    "    return line_wage, line_cpi, line_real\n",
    "\n",
    "anim = FuncAnimation(fig, update, frames=len(plot_df), interval=180, blit=False)\n",
    "plt.close(fig)\n",
    "HTML(anim.to_jshtml())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff12d8ec",
   "metadata": {},
   "source": [
    "## Key findings\n",
    "\n",
    "1. Nominal wage growth and real wage growth are not the same.\n",
    "\n",
    "2. The July 2025 to July 2026 exact result is about minus 0.15 percent from displayed BLS values.\n",
    "\n",
    "3. A larger paycheck can still lose purchasing power when CPI rises faster.\n",
    "\n",
    "4. Matching months and using a consistent seasonal adjustment basis are essential.\n",
    "\n",
    "5. CPI describes an average consumer price change. A household can experience a different personal cost change.\n",
    "\n",
    "6. Recent BLS payroll values can be revised, so a live article should be refreshed after new monthly releases.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ea9ca69",
   "metadata": {},
   "source": [
    "## Monthly refresh checklist\n",
    "\n",
    "1. Replace the wage and CPI snapshot after new BLS releases.\n",
    "\n",
    "2. Match wage and CPI periods.\n",
    "\n",
    "3. Keep missing official observations missing.\n",
    "\n",
    "4. Recalculate exact and approximate real wage growth.\n",
    "\n",
    "5. Update charts and the worked example.\n",
    "\n",
    "6. Update the article modified date only when the content changes in a meaningful way.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "34b55fcb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-21T07:54:58.755423Z",
     "iopub.status.busy": "2026-08-21T07:54:58.755262Z",
     "iopub.status.idle": "2026-08-21T07:54:58.760891Z",
     "shell.execute_reply": "2026-08-21T07:54:58.760434Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saved real_wage_growth_analysis.csv\n"
     ]
    }
   ],
   "source": [
    "export_cols = [\n",
    "    \"date\", \"wage\", \"cpi\", \"nominalGrowth\",\n",
    "    \"inflation\", \"realGrowth\", \"approxGrowth\",\n",
    "    \"nominalIndex\", \"cpiIndex\", \"realIndex\"\n",
    "]\n",
    "df[export_cols].to_csv(\"real_wage_growth_analysis.csv\", index=False)\n",
    "print(\"Saved real_wage_growth_analysis.csv\")\n"
   ]
  }
 ],
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