{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Python, Data and WRDS\n",
        "\n",
        "*Last modified: November 11, 2026*\n",
        "\n",
        "This notebook covers the data work the rest of the course builds on:\n",
        "loading data from a free public source and from WRDS, computing returns\n",
        "and their risk, drawing a figure, and running a regression. You used\n",
        "Python or R in the first half of the course; here the point is less the\n",
        "syntax, which Claude can write for you, than knowing where the data come\n",
        "from and what each step does to them.\n",
        "\n",
        "Run it in the course environment you set up for your class log. The WRDS\n",
        "part needs your WRDS account.\n",
        "\n",
        "## Packages"
      ],
      "id": "386f4463-f3f7-42c0-a23c-97798bacf263"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import os\n",
        "import platform\n",
        "from pathlib import Path\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import statsmodels.formula.api as smf\n",
        "import yfinance as yf"
      ],
      "id": "e80dd864"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Data from a public source: FRED\n",
        "\n",
        "The Federal Reserve Bank of St. Louis publishes thousands of economic\n",
        "series on [FRED](https://fred.stlouisfed.org). Any series downloads as a\n",
        "CSV file from a URL that contains its ID, with no account or key.\n",
        "`DGS10` is the 10-year Treasury yield, in percent."
      ],
      "id": "66ffecdc-5210-43ff-acc6-6a0a078fc292"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "url = \"https://fred.stlouisfed.org/graph/fredgraph.csv?id=DGS10\"\n",
        "dgs10 = pd.read_csv(url, parse_dates=[\"observation_date\"], index_col=\"observation_date\")\n",
        "dgs10.tail()"
      ],
      "id": "10cb23dd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The file has one row per business day. Days when markets were closed are\n",
        "missing values, which `dropna()` removes."
      ],
      "id": "f5e451f6-109c-46d9-94d0-4dd996feeffd"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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khBBCCCHlggJPQghEQprrSQghpOyJTfGkGRkZePnyJffYw8MDMpmswOMAYGVlBTc3t0Kv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\nLv4PdFldyftoZxQAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(figsize=(8, 3.5))\n",
        "dgs10[\"DGS10\"].dropna().plot(ax=ax, lw=0.8)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"Percent\")\n",
        "ax.set_title(\"10-year Treasury yield\")\n",
        "plt.show()"
      ],
      "id": "23975a6f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Data from WRDS\n",
        "\n",
        "[WRDS](https://wrds-www.wharton.upenn.edu) gives researchers and\n",
        "students access to the databases used in most academic finance: CRSP for\n",
        "stock prices and returns, Compustat for accounting data, OptionMetrics\n",
        "for options, and many more. WRDS keeps them in a PostgreSQL database, so\n",
        "we query them with SQL, the standard language for databases, through a\n",
        "small Python package called `psycopg`.\n",
        "\n",
        "### Your password, once\n",
        "\n",
        "The connection reads your WRDS username and password from a file called\n",
        "`pgpass`, which only you can read. Run the next cell once on your\n",
        "computer: it asks for your password and writes the file. On WRDS’s first\n",
        "connection you may also be asked to approve the login with Duo."
      ],
      "id": "464f949f-3c8a-4d3d-91ac-0c668ad47f1a"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "from getpass import getpass\n",
        "\n",
        "username = input(\"WRDS username: \")\n",
        "password = getpass(\"WRDS password: \")\n",
        "line = f\"wrds-pgdata.wharton.upenn.edu:9737:wrds:{username}:{password}\\n\"\n",
        "\n",
        "if platform.system() == \"Windows\":\n",
        "    pgpass = Path(os.environ[\"APPDATA\"]) / \"postgresql\" / \"pgpass.conf\"\n",
        "else:\n",
        "    pgpass = Path.home() / \".pgpass\"\n",
        "pgpass.parent.mkdir(exist_ok=True)\n",
        "pgpass.write_text(line)\n",
        "pgpass.chmod(0o600)\n",
        "print(\"Saved to\", pgpass)"
      ],
      "id": "a9cdb838"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### A function that runs a query\n",
        "\n",
        "The function below connects to WRDS, runs a query, and returns the\n",
        "result as a pandas DataFrame. It also saves the result as a file in a\n",
        "`data` folder, so that running the notebook again reads the file instead\n",
        "of querying WRDS. Delete the file to download the data again."
      ],
      "id": "3f6a03e7-7997-4a6d-99fb-65461b339347"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "import psycopg\n",
        "from psycopg.types.numeric import FloatLoader\n",
        "\n",
        "def wrds_username():\n",
        "    \"\"\"Your WRDS username, read from the pgpass file.\"\"\"\n",
        "    if platform.system() == \"Windows\":\n",
        "        pgpass = Path(os.environ[\"APPDATA\"]) / \"postgresql\" / \"pgpass.conf\"\n",
        "    else:\n",
        "        pgpass = Path.home() / \".pgpass\"\n",
        "    for line in pgpass.read_text().splitlines():\n",
        "        if line.startswith(\"wrds-pgdata\"):\n",
        "            return line.split(\":\")[3]\n",
        "\n",
        "DATA = Path(\"../_data\") if Path(\"../_data\").exists() else Path(\"data\")\n",
        "\n",
        "def wrds_query(name, sql):\n",
        "    \"\"\"Run a SQL query on WRDS and cache the result in DATA/<name>.parquet.\"\"\"\n",
        "    file = DATA / f\"{name}.parquet\"\n",
        "    if not file.exists():\n",
        "        with psycopg.connect(host=\"wrds-pgdata.wharton.upenn.edu\", port=9737,\n",
        "                             dbname=\"wrds\", user=wrds_username(),\n",
        "                             sslmode=\"require\") as conn:\n",
        "            # Return SQL numbers as floats rather than Python Decimals\n",
        "            conn.adapters.register_loader(\"numeric\", FloatLoader)\n",
        "            cur = conn.execute(sql)\n",
        "            df = pd.DataFrame(cur.fetchall(), columns=[c.name for c in cur.description])\n",
        "        DATA.mkdir(exist_ok=True)\n",
        "        df.to_parquet(file)\n",
        "    return pd.read_parquet(file)"
      ],
      "id": "51823543"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Monthly stock returns from CRSP\n",
        "\n",
        "CRSP identifies each stock by a permanent number, `permno`, because\n",
        "tickers change and are reused. The monthly stock file is `crsp.msf_v2`.\n",
        "Its column `mthret` is the monthly return including dividends, and\n",
        "`mthcaldt` is the last trading day of the month. We take three large\n",
        "stocks from 2015 to 2025."
      ],
      "id": "b6c38626-d1f0-4452-ab24-354f3a3bc626"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "stocks = wrds_query(\"crsp_msf_aapl_msft_jpm_2015_2025\", \"\"\"\n",
        "    SELECT permno, ticker, mthcaldt AS date, mthret AS ret\n",
        "    FROM crsp.msf_v2\n",
        "    WHERE permno IN (14593, 10107, 47896)\n",
        "      AND mthcaldt BETWEEN '2015-01-01' AND '2025-12-31'\n",
        "\"\"\")\n",
        "stocks.head()"
      ],
      "id": "385516fe"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The data come in long format: one row per stock and month. For most\n",
        "calculations a wide table, with one column per stock, is easier. `pivot`\n",
        "does the reshaping."
      ],
      "id": "d096ee10-77a2-4d37-9112-66c2414b4549"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "rets = stocks.pivot(index=\"date\", columns=\"ticker\", values=\"ret\")\n",
        "rets.index = pd.to_datetime(rets.index).to_period(\"M\")\n",
        "rets.tail()"
      ],
      "id": "a367b6f7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We also need the return on the market and the risk-free rate. The CRSP\n",
        "value-weighted index, which holds every stock in proportion to its\n",
        "market value, is index number 1000200 in `crsp.indmthseriesdata`. The\n",
        "one-month Treasury bill rate is in the Fama-French factors on WRDS, in\n",
        "`ff.factors_monthly`."
      ],
      "id": "ddf4a2cc-23ff-49a0-90bc-b1c32a7dae9c"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "mkt = wrds_query(\"crsp_vw_2015_2025\", \"\"\"\n",
        "    SELECT mthcaldt AS date, mthtotret AS mkt\n",
        "    FROM crsp.indmthseriesdata\n",
        "    WHERE indno = 1000200 AND mthcaldt BETWEEN '2015-01-01' AND '2025-12-31'\n",
        "\"\"\")\n",
        "rf = wrds_query(\"ff_rf_2015_2025\", \"\"\"\n",
        "    SELECT date, rf\n",
        "    FROM ff.factors_monthly\n",
        "    WHERE date BETWEEN '2015-01-01' AND '2025-12-31'\n",
        "\"\"\")\n",
        "mkt.index = pd.to_datetime(mkt.pop(\"date\")).dt.to_period(\"M\")\n",
        "rf.index = pd.to_datetime(rf.pop(\"date\")).dt.to_period(\"M\")\n",
        "\n",
        "df = rets.join(mkt).join(rf).dropna()\n",
        "df.tail()"
      ],
      "id": "efff62e4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Joining on monthly periods matters here: CRSP dates a month by its last\n",
        "trading day and the Fama-French file by its first day, so the raw dates\n",
        "never match.\n",
        "\n",
        "## Returns and risk\n",
        "\n",
        "The average monthly return and its standard deviation, the volatility,\n",
        "describe each asset. Multiplying the average by 12 and the standard\n",
        "deviation by $\\sqrt{12}$ puts them in annual terms, which assumes that\n",
        "monthly returns are independent over time."
      ],
      "id": "556c7f75-5bcb-49ff-b019-13d83a52c2f5"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "assets = [\"AAPL\", \"MSFT\", \"JPM\", \"mkt\"]\n",
        "summary = pd.DataFrame({\n",
        "    \"mean (annual)\": df[assets].mean() * 12,\n",
        "    \"volatility (annual)\": df[assets].std() * np.sqrt(12),\n",
        "})\n",
        "summary.round(3)"
      ],
      "id": "c2383ef9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The growth of one dollar invested at the start shows the same returns as\n",
        "a path. Compounding monthly returns gives the value of the investment at\n",
        "the end of each month."
      ],
      "id": "e6adcb23-a906-4ff2-af63-4e6e80e314b7"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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BEISXjEg2n5GRkYFWq8XNzU2URSoGZmZmGBkZcffuXdRqNSYmJoYOSRAEQRAEPRILhHKR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\nQmCC\n"
          }
        }
      ],
      "source": [
        "growth = (1 + df[assets]).cumprod()\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(8, 4))\n",
        "growth.rename(columns={\"mkt\": \"Market\"}).plot(ax=ax, logy=True)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"Value of $1 (log scale)\")\n",
        "ax.set_title(\"Growth of $1, 2015 to 2025\")\n",
        "plt.show()"
      ],
      "id": "02005913"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## A first regression\n",
        "\n",
        "How much does a stock move with the market? Regressing the stock’s\n",
        "excess return, its return above the risk-free rate, on the market’s\n",
        "excess return gives the stock’s beta, the slope of the line."
      ],
      "id": "78393875-5c5c-45f2-8844-b8f7d8f59a75"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "==============================================================================\n",
            "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
            "------------------------------------------------------------------------------\n",
            "Intercept      0.0098      0.005      1.815      0.072      -0.001       0.020\n",
            "mkt_ex         1.1389      0.121      9.425      0.000       0.900       1.378\n",
            "=============================================================================="
          ]
        }
      ],
      "source": [
        "df[\"aapl_ex\"] = df[\"AAPL\"] - df[\"rf\"]\n",
        "df[\"mkt_ex\"] = df[\"mkt\"] - df[\"rf\"]\n",
        "\n",
        "res = smf.ols(\"aapl_ex ~ mkt_ex\", data=df).fit()\n",
        "print(res.summary().tables[1])"
      ],
      "id": "7c4baf86"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The slope on `mkt_ex` is Apple’s beta and the intercept is its alpha,\n",
        "the average excess return the market does not explain. The p-value tests\n",
        "whether each coefficient is zero. To test whether the beta equals one,\n",
        "the beta of the market itself, use an F-test:"
      ],
      "id": "6cc214bf-6554-4e25-8e3a-de77987be75d"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "beta: 1.14\n",
            "p-value (H0: beta = 1): 0.252\n",
            "R-squared: 0.41"
          ]
        }
      ],
      "source": [
        "print(f\"beta: {res.params['mkt_ex']:.2f}\")\n",
        "print(f\"p-value (H0: beta = 1): {float(res.f_test('mkt_ex = 1').pvalue):.3f}\")\n",
        "print(f\"R-squared: {res.rsquared:.2f}\")"
      ],
      "id": "b4c937b2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Crypto from Yahoo Finance\n",
        "\n",
        "WRDS does not cover cryptocurrencies, but Yahoo Finance does. The\n",
        "`yfinance` package downloads Yahoo’s prices. It is not an official\n",
        "interface, so it can stop working without notice; save what you\n",
        "download."
      ],
      "id": "22b911f5-933b-4bed-82c4-451f52006677"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Bitcoin annual volatility: 0.72\n",
            "Market annual volatility:  0.15\n",
            "Correlation of monthly returns: 0.34"
          ]
        }
      ],
      "source": [
        "btc = yf.download(\"BTC-USD\", start=\"2015-01-01\", end=\"2026-01-01\",\n",
        "                  auto_adjust=True, progress=False)[\"Close\"]\n",
        "btc_ret = btc[\"BTC-USD\"].resample(\"ME\").last().pct_change().dropna()\n",
        "btc_ret.index = btc_ret.index.to_period(\"M\")\n",
        "\n",
        "both = pd.concat([btc_ret.rename(\"BTC\"), df[\"mkt\"]], axis=1).dropna()\n",
        "print(f\"Bitcoin annual volatility: {both['BTC'].std() * np.sqrt(12):.2f}\")\n",
        "print(f\"Market annual volatility:  {both['mkt'].std() * np.sqrt(12):.2f}\")\n",
        "print(f\"Correlation of monthly returns: {both.corr().iloc[0, 1]:.2f}\")"
      ],
      "id": "c57268da"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Bitcoin trades every day of the week, so its month ends on the last\n",
        "calendar day, while the stock market’s ends on the last trading day.\n",
        "With monthly returns the difference is small; with daily returns you\n",
        "would have to align the two calendars.\n",
        "\n",
        "## Try it\n",
        "\n",
        "1.  Add Nvidia (`permno` 86580) to the stock query and compute its beta.\n",
        "    Remember to give the cached file a new name, or delete the old one.\n",
        "2.  Download `DGS2`, the 2-year Treasury yield, from FRED and plot the\n",
        "    difference between the 10-year and the 2-year yield.\n",
        "3.  Compute the correlation between Bitcoin and the market separately\n",
        "    for 2015 to 2019 and for 2020 to 2025. What changed?"
      ],
      "id": "86f7664c-b5a5-4132-ba44-1865ca9c66ca"
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