{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "id": "a6be4a95", "metadata": { "id": "a6be4a95" }, "source": [ "# Running the First Regression in Python" ] }, { "cell_type": "markdown", "id": "b7890b49", "metadata": { "id": "b7890b49" }, "source": [ "Suppose this is your first time to write the code. Perhaps, you want to run a simple regression using two series of asset prices to fin the equity beta. Let's use a step-by-step approach to complete the task.\n", "\n", " Step 1: Download two assets' prices from the web\n", " Step 2: Put them onto a matrix form\n", " Step 3: Run the OLS\n", " Step 4: Plot data" ] }, { "cell_type": "markdown", "id": "d844db66", "metadata": { "id": "d844db66" }, "source": [ "### Step 1: Download data\n", "We will use yahoo finance package (https://pypi.org/project/yfinance/) to download Yahoo Finance data from the web. We need to (1) install and (2) import this package." ] }, { "cell_type": "code", "execution_count": 1, "id": "47c20bb7", "metadata": { "id": "47c20bb7" }, "outputs": [], "source": [ "!pip install yfinance -q # to install, remove # and run the cell\n", "import yfinance as yf # to import" ] }, { "cell_type": "code", "execution_count": 2, "id": "479eb94a", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "479eb94a", "outputId": "40940da6-cf99-4f08-c050-224ecdfce62c" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "YF.download() has changed argument auto_adjust default to True\n" ] }, { "output_type": "stream", "name": "stderr", "text": [ "[*********************100%***********************] 1 of 1 completed\n", "[*********************100%***********************] 1 of 1 completed\n" ] } ], "source": [ "# download\n", "mystock = yf.download(\"TSLA\", start=\"2011-01-01\", end=\"2022-05-31\", interval='1mo')['Close']\n", "index = yf.download(\"SPY\", start=\"2011-01-01\", end=\"2022-05-31\", interval='1mo')['Close']" ] }, { "cell_type": "code", "source": [ "mystock" ], "metadata": { "id": "heFPJAtXjqSe", "outputId": "1df5f728-d635-4b82-ce3b-85f853585486", "colab": { "base_uri": "https://localhost:8080/", "height": 455 } }, "id": "heFPJAtXjqSe", "execution_count": 14, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Ticker TSLA\n", "Date \n", "2011-01-01 1.606667\n", "2011-02-01 1.592667\n", "2011-03-01 1.850000\n", "2011-04-01 1.840000\n", "2011-05-01 2.009333\n", "... ...\n", "2022-01-01 312.239990\n", "2022-02-01 290.143341\n", "2022-03-01 359.200012\n", "2022-04-01 290.253326\n", "2022-05-01 252.753326\n", "\n", "[137 rows x 1 columns]" ], "text/html": [ "\n", "
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\n" ], "application/vnd.google.colaboratory.intrinsic+json": { "type": "dataframe", "variable_name": "data3", "summary": "{\n \"name\": \"data3\",\n \"rows\": 136,\n \"fields\": [\n {\n \"column\": \"Date\",\n \"properties\": {\n \"dtype\": \"date\",\n \"min\": \"2011-02-01 00:00:00\",\n \"max\": \"2022-05-01 00:00:00\",\n \"num_unique_values\": 136,\n \"samples\": [\n \"2017-03-01 00:00:00\",\n \"2014-11-01 00:00:00\",\n \"2016-02-01 00:00:00\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"TSLA\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.1772389896653605,\n \"min\": -0.22426582233190806,\n \"max\": 0.8107057457667728,\n \"num_unique_values\": 136,\n \"samples\": [\n 0.11324450226739402,\n 0.011667339604856775,\n 0.003817939286909544\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"SPY\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.04027497648924596,\n \"min\": -0.1299870383279288,\n \"max\": 0.1336103459712208,\n \"num_unique_values\": 136,\n \"samples\": [\n -0.0030871885065767435,\n 0.02747207318472422,\n -0.0008260769520120892\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" } }, "metadata": {}, "execution_count": 4 } ], "source": [ "# combine two asset prices onto one matrix called pandas dataframe\n", "data = pd.concat([mystock, index], axis=1)\n", "\n", "# drop missing observations\n", "data2 = data.dropna()\n", "\n", "# compute monthly returns and drop the first observation\n", "data3 = data2.pct_change().dropna()\n", "data3" ] }, { "cell_type": "markdown", "source": [ "### Let's plot data." ], "metadata": { "id": "9VCMsnGjz0E4" }, "id": "9VCMsnGjz0E4" }, { "cell_type": "code", "source": [ "# need to import matplotlib. You already have this in your Jupyter environment, so no need to install.\n", "import matplotlib.pyplot as plt\n", "\n", "data3.plot(subplots=False, figsize=(10, 6)) # plot returns to see volatility levels\n", "\n", "(data2 / data2.iloc[0] * 100).plot(figsize = (10, 6), subplots=False) # plot the wealth change of $100 investment over time" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "WWRly7sfzPiD", "outputId": "d41b8331-ca59-4914-db6b-7d60a3478c7c" }, "id": "WWRly7sfzPiD", "execution_count": 5, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 5 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "data3.plot.hist(bins=50, alpha=0.7, edgecolor='black', subplots=False, figsize=(10,6))\n", "data3.plot.scatter(x='SPY', y='TSLA', c='blue',figsize=(10,6))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "GPcFjGUw5gVF", "outputId": "2920ca03-8290-48a3-fae4-83641dbcb3e5" }, "id": "GPcFjGUw5gVF", "execution_count": 6, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 6 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "id": "68175734", "metadata": { "id": "68175734" }, "source": [ "### Step 3: Run OLS\n", "We need to install and import statsmodels module. https://www.statsmodels.org/stable/index.html" ] }, { "cell_type": "code", "execution_count": 7, "id": "5dcb73ad", "metadata": { "id": "5dcb73ad" }, "outputs": [], "source": [ "#!pip install statsmodels\n", "import statsmodels.formula.api as smf\n", "import statsmodels.api as sm" ] }, { "cell_type": "code", "execution_count": 8, "id": "ddfd0025", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ddfd0025", "outputId": "9d0ee029-f829-4d72-9fd3-89a5a6441527" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TSLA R-squared: 0.159\n", "Model: OLS Adj. R-squared: 0.153\n", "Method: Least Squares F-statistic: 25.35\n", "Date: Mon, 10 Mar 2025 Prob (F-statistic): 1.51e-06\n", "Time: 01:56:36 Log-Likelihood: 54.624\n", "No. Observations: 136 AIC: -105.2\n", "Df Residuals: 134 BIC: -99.42\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.0319 0.015 2.198 0.030 0.003 0.061\n", "SPY 1.7553 0.349 5.035 0.000 1.066 2.445\n", "==============================================================================\n", "Omnibus: 43.834 Durbin-Watson: 1.592\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 109.883\n", "Skew: 1.285 Prob(JB): 1.38e-24\n", "Kurtosis: 6.576 Cond. No. 24.9\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "# run OLS\n", "formula = 'TSLA ~ SPY' # set dep var and indep var\n", "results = smf.ols(formula, data3).fit() # run OLS\n", "print(results.summary()) # print" ] }, { "cell_type": "markdown", "id": "6839b273", "metadata": { "id": "6839b273" }, "source": [ "### beta of TSLA = 1.7553" ] }, { "cell_type": "markdown", "id": "a3f1572a", "metadata": { "id": "a3f1572a" }, "source": [ "### Step 4: Plot the result\n", "We need to install and import matplotlib module. https://matplotlib.org/" ] }, { "cell_type": "code", "execution_count": 9, "id": "0b0e60bb", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 586 }, "id": "0b0e60bb", "outputId": "04f66781-9de2-40ef-cbfa-ba3d24a92189" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "#!pip install matplotlib #again, if you installed Anaconda, you have this already.\n", "import matplotlib.pyplot as plt\n", "\n", "fig, ax=plt.subplots(figsize=(10,6))\n", "fig = sm.graphics.plot_partregress_grid(results, fig=fig)" ] }, { "cell_type": "markdown", "id": "f58ce303", "metadata": { "id": "f58ce303" }, "source": [ "### Extra 1: using scipy module, we can get the same beta!" ] }, { "cell_type": "code", "execution_count": 10, "id": "69ce9117", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "69ce9117", "outputId": "9532126f-bd2a-4a29-f8aa-e4a8b1465f88" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "1.7553\n", "0.0319\n", "0.4\n", "0.0\n" ] } ], "source": [ "#!pip install scipy # Again, you probabaly have this installed in your Jupyter environment already\n", "from scipy import stats\n", "\n", "beta,alpha,r_value,p_value,std_err = stats.linregress(data3['SPY'],data3[\"TSLA\"])\n", "\n", "print(beta.round(4))\n", "print(alpha.round(4))\n", "print(r_value.round(2))\n", "print(p_value.round(4))" ] }, { "cell_type": "markdown", "id": "b192016a", "metadata": { "id": "b192016a" }, "source": [ "### Extra 2: using a beta formula, we can get the same beta.\n", "\n", "$$\n", "\\beta_{tsla} = \\frac{\\sigma_{tsla,spy}}{\\sigma_{spy}^2}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "642827eb", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "642827eb", "outputId": "787b0520-8172-4b7f-a5f8-7b1019fbb5e0" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Ticker TSLA SPY\n", "Ticker \n", "TSLA 0.376964 0.034166\n", "SPY 0.034166 0.019465\n", "\n", "\n", "1.7553\n" ] } ], "source": [ "# find covariance matrix\n", "cov = data3.cov() * 12\n", "print(cov)\n", "print('\\n') # to give a space\n", "print(round(cov.iloc[0,1]/cov.iloc[1,1], 4))" ] }, { "cell_type": "markdown", "id": "e3ff4c65", "metadata": { "id": "e3ff4c65" }, "source": [ "### Extra3: using linear algebra, we can get the same beta.\n", "Need to install numpy and import it. You probably have this alreay. So skip installation. Just import it. https://numpy.org/\n", "\n", "$$\n", "b=\\begin{bmatrix} b_0 \\\\ b_1 \\\\ \\vdots \\\\ b_{k} \\end{bmatrix}= (X^{'}X)^{-1}X^{'}Y\n", "$$\n", "\n", "\n", "So, a beta estimate form OLS is equal to X matrix transpose times X matrix and take an inverse times X transpose times times Y vector.\n" ] }, { "cell_type": "code", "source": [ "# warnings are annoying, so I include below to supress them. You do not need to do this.\n", "import warnings\n", "warnings.simplefilter(action='ignore', category=FutureWarning)" ], "metadata": { "id": "ApyNN1N27OM9" }, "id": "ApyNN1N27OM9", "execution_count": 12, "outputs": [] }, { "cell_type": "code", "execution_count": 13, "id": "c7903709", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "c7903709", "outputId": "f9a12c8b-e750-49b4-f872-446ef9c9680c" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "1.7553\n" ] } ], "source": [ "import numpy as np\n", "\n", "X = data3['SPY']\n", "y = data3['TSLA']\n", "X_ols = sm.add_constant(X) # add a constant vector\n", "#print(X_ols)\n", "\n", "# compute beta using matrix operation\n", "beta = np.linalg.inv(X_ols.T.dot(X_ols)).dot(X_ols.T.dot(y))\n", "print(round(beta[1], 4))" ] }, { "cell_type": "code", "source": [], "metadata": { "id": "66huY1CAla_1" }, "id": "66huY1CAla_1", "execution_count": 13, "outputs": [] }, { "cell_type": "code", "source": [], "metadata": { "id": "4jWegIranW6y" }, "id": "4jWegIranW6y", "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "#sklearn" ], "metadata": { "id": "n_9I-25MnqNA" }, "id": "n_9I-25MnqNA" }, { "cell_type": "code", "source": [ "type(y)" ], "metadata": { "id": "gik_dhRSla89", "outputId": "4eeeba71-177b-4428-b958-e4e788c1ea76", "colab": { "base_uri": "https://localhost:8080/" } }, "id": "gik_dhRSla89", "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "pandas.core.series.Series" ] }, "metadata": {}, "execution_count": 57 } ] }, { "cell_type": "code", "source": [ "x = np.array(X).reshape((-1, 1))\n", "x.shape" ], "metadata": { "id": "16P2lHyPltcl", "outputId": "a073c056-9d66-44a1-9e6c-73493b154a37", "colab": { "base_uri": "https://localhost:8080/" } }, "id": "16P2lHyPltcl", "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "(136, 1)" ] }, "metadata": {}, "execution_count": 52 } ] }, { "cell_type": "code", "source": [ "y=np.array(y).reshape((-1,1))\n", "y.shape" ], "metadata": { "id": "FHorwTR9ltWi", "outputId": "76082e4d-615c-427f-90c8-6ad28b601c22", "colab": { "base_uri": "https://localhost:8080/" } }, "id": "FHorwTR9ltWi", "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "(136, 1)" ] }, "metadata": {}, "execution_count": 53 } ] }, { "cell_type": "code", "source": [ "from sklearn.linear_model import LinearRegression\n", "model = LinearRegression().fit(x,y)" ], "metadata": { "id": "NYe0IYAfj-Wa" }, "id": "NYe0IYAfj-Wa", "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "r_sq = model.score(x, y)\n", "print(f\"coefficient of determination: {r_sq}\")\n", "print(f\"intercept: {model.intercept_}\")\n", "print(f\"slope: {model.coef_}\")" ], "metadata": { "id": "e6v-eWcPnaev", "outputId": "491779c1-bcf9-4905-df6f-8c574c268a19", "colab": { "base_uri": "https://localhost:8080/" } }, "id": "e6v-eWcPnaev", "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "coefficient of determination: 0.1590925668519182\n", "intercept: [0.03187907]\n", "slope: [[1.75529024]]\n" ] } ] }, { "cell_type": "code", "source": [], "metadata": { "id": "epZdGEUQj-SJ" }, "id": "epZdGEUQj-SJ", "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [], "metadata": { "id": "90WYkmAaj-OP" }, "id": "90WYkmAaj-OP", "execution_count": null, "outputs": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" }, "colab": { "name": "OLS_beta.ipynb", "provenance": [], "include_colab_link": true } }, "nbformat": 4, "nbformat_minor": 5 }