{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "FRED.ipynb", "provenance": [], "collapsed_sections": [], "authorship_tag": "ABX9TyNwoK7Y+vksrm98RUMsaF3u", "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "source": [ "#Using the FRED API to get and display key macro series\n", "FRED, a database maintained by the Federal Reserve Bank of St. Louis, is a realiable source of macroecononomic and financial data. The first step is to install the FRED API. https://fred.stlouisfed.org/docs/api/fred/" ], "metadata": { "id": "w3KtULyNxMTj" } }, { "cell_type": "code", "source": [ "pip install fredapi " ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "D5xCDRIew5qi", "outputId": "0bbc8c57-f383-4016-a718-af2656388916" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n", "Requirement already satisfied: fredapi in /usr/local/lib/python3.7/dist-packages (0.5.0)\n", "Requirement already satisfied: pandas in /usr/local/lib/python3.7/dist-packages (from fredapi) (1.3.5)\n", "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas->fredapi) (2.8.2)\n", "Requirement already satisfied: numpy>=1.17.3 in /usr/local/lib/python3.7/dist-packages (from pandas->fredapi) (1.21.6)\n", "Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas->fredapi) (2022.1)\n", "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.7.3->pandas->fredapi) (1.15.0)\n" ] } ] }, { "cell_type": "code", "source": [ "from fredapi import Fred " ], "metadata": { "id": "DAmdMgssw5nK" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Next we will download the FRED API, ask the FED for an ID (go here https://research.stlouisfed.org/useraccount/apikeys), and enter it." ], "metadata": { "id": "h5nj0YCexQI0" } }, { "cell_type": "code", "source": [ "############## please get your own API KEY instead of using mine ####################\n", "fred = Fred(api_key='52b55ac11946f5749148befd9094e6bf') # this key won't work. get your own key please." ], "metadata": { "id": "0B0MVtSOw5kv" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import pandas as pd\n", "import statsmodels.formula.api as smf \n", "import matplotlib.pyplot as plt \n", "%matplotlib inline " ], "metadata": { "id": "czhiWug3xGZn" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "cVlyJG6GwkmB" }, "outputs": [], "source": [ "gdp = fred.get_series('GDPC1', observation_start='1995-1-1') # Seasonally adjusted real GDP # seasonally ajusted non-fram employment in thousands\n", "empl = fred.get_series('PAYEMS', observation_start='1995-1-1') # seasonally ajusted non-farm employment in thousands \n", "unemp =fred.get_series('UNRATE', observation_start='1995-1-1') # seasonally ajusted unemployment rate in percent\n", "SP500=fred.get_series('SP500', observation_start='1995-1-1') # only starts in 2010 at Fred for some reason\n", "consumer_confidence=fred.get_series('UMCSENT', observation_start='1995-1-1') \n", "dollar_euro=fred.get_series('DEXUSEU', observation_start='1995-1-1') \n", "civilian_labor_force=fred.get_series('CLF16OV', observation_start='1995-1-1') \n", "PPI = fred.get_series('PPIACO', observation_start='1995-1-1') \n", "CO2_emission = fred.get_series('EMISSCO2TOTVTTTOUSA', observation_start='1995-1-1') " ] }, { "cell_type": "code", "source": [ "fig, axs = plt.subplots(3, 3,figsize=(20, 15))\n", "fig.suptitle('US Economy since January 1995')\n", "\n", "# plt.subplot(221)\n", "\n", "axs[0][0].plot(gdp.index,gdp.values)\n", "axs[0][0].set_title(\"Real GDP, SA\")\n", "axs[0,0].set_ylabel(\"2012 $bn\")\n", "\n", "axs[0][1].plot(empl.index,empl.values)\n", "axs[0][1].set_title(\"Non-farm employment, SA\")\n", "axs[0,1].set_ylabel(\"thousands\")\n", "\n", "axs[0][2].plot(unemp.index,unemp.values)\n", "axs[0][2].set_title(\"Unemployment, SA\")\n", "axs[0,2].set_ylabel(\"%\")\n", "\n", "axs[1][0].plot(SP500.index,SP500.values)\n", "axs[1][0].set_title(\"S&P500\")\n", "\n", "axs[1][1].plot(consumer_confidence.index,consumer_confidence.values)\n", "axs[1][1].set_title(\"Consumer Sentiment, SA\")\n", "\n", "axs[1][2].plot(dollar_euro.index,dollar_euro.values)\n", "axs[1][2].set_title(\"Dollar to Euro Spot Exchange Rate, NSA\")\n", "\n", "axs[2][0].plot(civilian_labor_force.index, civilian_labor_force.values)\n", "axs[2][0].set_title(\"Civilian Labor Force, NSA\")\n", "\n", "axs[2][1].plot(PPI.index,PPI.values)\n", "axs[2][1].set_title(\"PPI, SA\")\n", "\n", "axs[2][2].plot(CO2_emission.index,CO2_emission.values)\n", "axs[2][2].set_title(\"CO2_emission, NSA\")\n", "\n", "\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 902 }, "id": "ktVrfkUjXRsv", "outputId": "20ea3255-db7f-4a64-ff23-40ad9b5fbacf" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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"execution_count": 19 } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import statsmodels.tsa.api as tsa\n", "import statsmodels.graphics.tsaplots as tsaplt" ], "metadata": { "id": "3gk6PFRgqqnL" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "dmbp = pd.read_csv(\"http://web.pdx.edu/~crkl/ceR/data/dmbp.txt\",sep='\\s+',\n", " header=None,names=['xrate','friday'],nrows=1974)\n", "dmbp" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 424 }, "id": "IwuGSYG0cYyF", "outputId": "db38ace5-bcac-41a6-afe2-7c4a3b3a5547" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " xrate friday\n", "0 0.125333 0.0\n", "1 0.028874 0.0\n", "2 0.063462 0.0\n", "3 0.226719 1.0\n", "4 -0.214267 0.0\n", "... ... ...\n", "1969 -0.408540 1.0\n", "1970 -0.030468 1.0\n", "1971 -0.117546 1.0\n", "1972 -0.231271 0.0\n", "1973 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convert index into a column and convert it to DataFrame\n", "print(dollar_euro2)\n", "print(type(dollar_euro2))\n", "dollar_euro2.info()\n", "dollar_euro2.rename(columns={'index': \"date\", 0:'xrate'}, inplace=True)\n", "dollar_euro2.info()\n", "dollar_euro2['weekday']=pd.to_datetime(dollar_euro2['date']).dt.weekday\n", "\n", "\n", "\n", "print(dollar_euro2)\n", "dollar_euro2.info()\n", "print(dollar_euro2)\n", "dollar_euro2['friday'] = np.where(dollar_euro2['weekday'] == 4, 1, 0)\n", "dollar_euro2.info()\n", "print(dollar_euro2)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "pu09jUZiooCN", "outputId": "1f502142-4ae3-4854-d74c-feaf3fb54c42" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " index 0\n", "0 1999-01-04 1.1812\n", "1 1999-01-05 1.1760\n", "2 1999-01-06 1.1636\n", "3 1999-01-07 1.1672\n", "4 1999-01-08 1.1554\n", "... ... ...\n", "5863 2022-05-16 1.0420\n", "5864 2022-05-17 1.0532\n", "5865 2022-05-18 1.0494\n", "5866 2022-05-19 1.0587\n", "5867 2022-05-20 1.0559\n", "\n", "[5868 rows x 2 columns]\n", "\n", "\n", "RangeIndex: 5868 entries, 0 to 5867\n", "Data columns (total 2 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 index 5868 non-null datetime64[ns]\n", " 1 0 5868 non-null float64 \n", "dtypes: datetime64[ns](1), float64(1)\n", "memory usage: 91.8 KB\n", "\n", "RangeIndex: 5868 entries, 0 to 5867\n", "Data columns (total 2 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 date 5868 non-null datetime64[ns]\n", " 1 xrate 5868 non-null float64 \n", "dtypes: datetime64[ns](1), float64(1)\n", "memory usage: 91.8 KB\n", " date xrate weekday\n", "0 1999-01-04 1.1812 0\n", "1 1999-01-05 1.1760 1\n", "2 1999-01-06 1.1636 2\n", "3 1999-01-07 1.1672 3\n", "4 1999-01-08 1.1554 4\n", "... ... ... ...\n", "5863 2022-05-16 1.0420 0\n", "5864 2022-05-17 1.0532 1\n", "5865 2022-05-18 1.0494 2\n", "5866 2022-05-19 1.0587 3\n", "5867 2022-05-20 1.0559 4\n", "\n", "[5868 rows x 3 columns]\n", "\n", "RangeIndex: 5868 entries, 0 to 5867\n", "Data columns (total 3 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 date 5868 non-null datetime64[ns]\n", " 1 xrate 5868 non-null float64 \n", " 2 weekday 5868 non-null int64 \n", "dtypes: datetime64[ns](1), float64(1), int64(1)\n", "memory usage: 137.7 KB\n", " date xrate weekday\n", "0 1999-01-04 1.1812 0\n", "1 1999-01-05 1.1760 1\n", "2 1999-01-06 1.1636 2\n", "3 1999-01-07 1.1672 3\n", "4 1999-01-08 1.1554 4\n", "... ... ... ...\n", "5863 2022-05-16 1.0420 0\n", "5864 2022-05-17 1.0532 1\n", "5865 2022-05-18 1.0494 2\n", "5866 2022-05-19 1.0587 3\n", "5867 2022-05-20 1.0559 4\n", "\n", "[5868 rows x 3 columns]\n", "\n", "RangeIndex: 5868 entries, 0 to 5867\n", "Data columns (total 4 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 date 5868 non-null datetime64[ns]\n", " 1 xrate 5868 non-null float64 \n", " 2 weekday 5868 non-null int64 \n", " 3 friday 5868 non-null int64 \n", "dtypes: datetime64[ns](1), float64(1), int64(2)\n", "memory usage: 183.5 KB\n", " date xrate weekday friday\n", "0 1999-01-04 1.1812 0 0\n", "1 1999-01-05 1.1760 1 0\n", "2 1999-01-06 1.1636 2 0\n", "3 1999-01-07 1.1672 3 0\n", "4 1999-01-08 1.1554 4 1\n", "... ... ... ... ...\n", "5863 2022-05-16 1.0420 0 0\n", "5864 2022-05-17 1.0532 1 0\n", "5865 2022-05-18 1.0494 2 0\n", "5866 2022-05-19 1.0587 3 0\n", "5867 2022-05-20 1.0559 4 1\n", "\n", "[5868 rows x 4 columns]\n" ] } ] }, { "cell_type": "markdown", "source": [ "### Source code: Econometric Analysis by Examples\n", "#### Copyright© 2020 by Kuan-Pin Lin and WISER-Club" ], "metadata": { "id": "9s73A4ND3j_B" } }, { "cell_type": "code", "source": [ "lm2 = sm.OLS.from_formula('xrate~friday',data=dmbp).fit()\n", "print(lm2.summary())\n", "\n", "lm1 = sm.OLS.from_formula('xrate~1',data=dmbp).fit()\n", "print(lm1.summary())\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "iImAWioSc-Q2", "outputId": "e4546458-d06e-4b63-d8b3-380cc2a9f711" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: xrate R-squared: 0.000\n", "Model: OLS Adj. R-squared: -0.000\n", "Method: Least Squares F-statistic: 0.4440\n", "Date: Mon, 30 May 2022 Prob (F-statistic): 0.505\n", "Time: 21:20:09 Log-Likelihood: -1310.9\n", "No. Observations: 1974 AIC: 2626.\n", "Df Residuals: 1972 BIC: 2637.\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0126 0.012 -1.041 0.298 -0.036 0.011\n", "friday -0.0167 0.025 -0.666 0.505 -0.066 0.033\n", "==============================================================================\n", "Omnibus: 190.536 Durbin-Watson: 1.979\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 1101.300\n", "Skew: -0.242 Prob(JB): 7.17e-240\n", "Kurtosis: 6.627 Cond. No. 2.52\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: xrate R-squared: 0.000\n", "Model: OLS Adj. R-squared: 0.000\n", "Method: Least Squares F-statistic: nan\n", "Date: Mon, 30 May 2022 Prob (F-statistic): nan\n", "Time: 21:20:09 Log-Likelihood: -1311.1\n", "No. Observations: 1974 AIC: 2624.\n", "Df Residuals: 1973 BIC: 2630.\n", "Df Model: 0 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0164 0.011 -1.552 0.121 -0.037 0.004\n", "==============================================================================\n", "Omnibus: 191.764 Durbin-Watson: 1.981\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 1102.882\n", "Skew: -0.250 Prob(JB): 3.25e-240\n", "Kurtosis: 6.628 Cond. No. 1.00\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ] }, { "cell_type": "code", "source": [ "lm2 = sm.OLS.from_formula('xrate~friday',data=dollar_euro2).fit()\n", "print(lm2.summary())\n", "\n", "lm1 = sm.OLS.from_formula('xrate~1',data=dollar_euro2).fit()\n", "print(lm1.summary())" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "R5X39hSo2v1D", "outputId": "10ce96b5-ef59-47a8-952e-a1542eed1562" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: xrate R-squared: 0.000\n", "Model: OLS Adj. R-squared: -0.000\n", "Method: Least Squares F-statistic: 0.04123\n", "Date: Mon, 30 May 2022 Prob (F-statistic): 0.839\n", "Time: 21:24:35 Log-Likelihood: 2475.2\n", "No. Observations: 5868 AIC: -4946.\n", "Df Residuals: 5866 BIC: -4933.\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 1.1978 0.002 515.720 0.000 1.193 1.202\n", "friday -0.0010 0.005 -0.203 0.839 -0.011 0.009\n", "==============================================================================\n", "Omnibus: 54.378 Durbin-Watson: 0.002\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 41.518\n", "Skew: -0.116 Prob(JB): 9.65e-10\n", "Kurtosis: 2.659 Cond. No. 2.60\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: xrate R-squared: -0.000\n", "Model: OLS Adj. R-squared: -0.000\n", "Method: Least Squares F-statistic: nan\n", "Date: Mon, 30 May 2022 Prob (F-statistic): nan\n", "Time: 21:24:35 Log-Likelihood: 2475.2\n", "No. Observations: 5868 AIC: -4948.\n", "Df Residuals: 5867 BIC: -4942.\n", "Df Model: 0 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 1.1976 0.002 578.041 0.000 1.194 1.202\n", "==============================================================================\n", "Omnibus: 54.365 Durbin-Watson: 0.002\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 41.511\n", "Skew: -0.116 Prob(JB): 9.68e-10\n", "Kurtosis: 2.659 Cond. No. 1.00\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ] }, { "cell_type": "code", "source": [ "\n", "e = lm1.resid\n", "e2 = e**2\n" ], "metadata": { "id": "yAUASUzJca90" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "\n", "\n", "# time series analysis: identification\n", "tsaplt.plot_acf(e, zero=False, lags=30)\n", "tsaplt.plot_pacf(e, zero=False, lags=30)\n", "tsaplt.plot_acf(e2, zero=False, lags=30)\n", "tsaplt.plot_pacf(e2, zero=False, lags=30)\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "NGGLt3Auccj6", "outputId": "91ea3544-0b5f-4c0e-d046-c74597a2ca07" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.7/dist-packages/statsmodels/graphics/tsaplots.py:353: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n", " FutureWarning,\n", "/usr/local/lib/python3.7/dist-packages/statsmodels/graphics/tsaplots.py:353: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n", " FutureWarning,\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "
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\n" }, "metadata": {}, "execution_count": 78 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" 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\n" 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "pip install arch" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ov5aTmrmjX3n", "outputId": "a997cb8c-fa63-45a4-8728-9ba60eda3d6d" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n", "Requirement already satisfied: arch in /usr/local/lib/python3.7/dist-packages (5.2.0)\n", "Requirement already satisfied: property-cached>=1.6.4 in /usr/local/lib/python3.7/dist-packages (from arch) (1.6.4)\n", "Requirement already satisfied: statsmodels>=0.11 in /usr/local/lib/python3.7/dist-packages (from arch) (0.13.2)\n", "Requirement already satisfied: pandas>=1.0 in /usr/local/lib/python3.7/dist-packages (from arch) (1.3.5)\n", "Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.7/dist-packages (from arch) (1.21.6)\n", "Requirement already satisfied: scipy>=1.3 in /usr/local/lib/python3.7/dist-packages (from arch) (1.4.1)\n", "Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=1.0->arch) (2022.1)\n", "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=1.0->arch) (2.8.2)\n", "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.7.3->pandas>=1.0->arch) (1.15.0)\n", "Requirement already satisfied: patsy>=0.5.2 in /usr/local/lib/python3.7/dist-packages (from statsmodels>=0.11->arch) (0.5.2)\n", "Requirement already satisfied: packaging>=21.3 in /usr/local/lib/python3.7/dist-packages (from statsmodels>=0.11->arch) (21.3)\n", "Requirement already satisfied: pyparsing!=3.0.5,>=2.0.2 in /usr/local/lib/python3.7/dist-packages (from packaging>=21.3->statsmodels>=0.11->arch) (3.0.9)\n" ] } ] }, { "cell_type": "code", "source": [ "\n", "# https://arch.readthedocs.io/en/latest/univariate/introduction.html\n", "from arch import arch_model\n", "\n", "# GARCH(1,1), a common model\n", "# default model: p=1,q=1, normal distribution\n", "garch1 = arch_model(dollar_euro2.xrate).fit()\n", "print(garch1.summary())\n", "garch1.plot()\n", "garch1.arch_lm_test(lags=10,standardized=True)\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "sygETCJHceEI", "outputId": "d71cd28d-7a9d-4398-9457-51a5b17966a3" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Iteration: 1, Func. Count: 6, Neg. LLF: -4962.314514188438\n", "Iteration: 2, Func. Count: 18, Neg. LLF: -4977.472467550329\n", "Iteration: 3, Func. Count: 31, Neg. LLF: -4977.638241929397\n", "Optimization terminated successfully. (Exit mode 0)\n", " Current function value: -4977.638290276602\n", " Iterations: 7\n", " Function evaluations: 31\n", " Gradient evaluations: 3\n", " Constant Mean - GARCH Model Results \n", "==============================================================================\n", "Dep. Variable: xrate R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: GARCH Log-Likelihood: 4977.64\n", "Distribution: Normal AIC: -9947.28\n", "Method: Maximum Likelihood BIC: -9920.57\n", " No. Observations: 5868\n", "Date: Mon, May 30 2022 Df Residuals: 5867\n", "Time: 21:25:36 Df Model: 1\n", " Mean Model \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "mu 1.1831 4.390e-03 269.481 0.000 [ 1.174, 1.192]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 5.0548e-04 1.364e-05 37.067 9.520e-301 [4.788e-04,5.322e-04]\n", "alpha[1] 0.2000 5.057e-03 39.549 0.000 [ 0.190, 0.210]\n", "beta[1] 0.7800 5.124e-03 152.214 0.000 [ 0.770, 0.790]\n", "============================================================================\n", "\n", "Covariance estimator: robust\n" ] }, { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.7/dist-packages/arch/univariate/base.py:310: DataScaleWarning: y is poorly scaled, which may affect convergence of the optimizer when\n", "estimating the model parameters. The scale of y is 0.02518. Parameter\n", "estimation work better when this value is between 1 and 1000. The recommended\n", "rescaling is 10 * y.\n", "\n", "This warning can be disabled by either rescaling y before initializing the\n", "model or by setting rescale=False.\n", "\n", " data_scale_warning.format(orig_scale, rescale), DataScaleWarning\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "ARCH-LM Test\n", "H0: Standardized residuals are homoskedastic.\n", "ARCH-LM Test\n", "H1: Standardized residuals are conditionally heteroskedastic.\n", "Statistic: 5334.8713\n", "P-value: 0.0000\n", "Distributed: chi2(10)\n", "WaldTestStatistic, id: 0x7fe3839320d0" ] }, "metadata": {}, "execution_count": 80 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "\n", "# Other modelspecifications are possible:\n", "# GJR-GARCH(1,1) model, set o=1\n", "garch2 = arch_model(dollar_euro2.xrate,p=1,o=1,q=1).fit()\n", "print(garch2.summary())\n", "garch2.plot()\n", "# TARCH/ZARCH model, set power=1\n", "garch3 = arch_model(dollar_euro2.xrate,p=1,o=1,q=1,power=1).fit()\n", "print(garch3.summary())\n", "garch3.plot()\n", "# using Stdent's t distribution\n", "garch4 = arch_model(dollar_euro2.xrate,dist='StudentsT').fit()\n", "print(garch4.summary())\n", "garch4.plot()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "oUSca3YpcfTc", "outputId": "aea1fd08-3bfb-40eb-dea1-b8b6bda4fef7" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.7/dist-packages/arch/univariate/base.py:310: DataScaleWarning: y is poorly scaled, which may affect convergence of the optimizer when\n", "estimating the model parameters. The scale of y is 0.02518. Parameter\n", "estimation work better when this value is between 1 and 1000. The recommended\n", "rescaling is 10 * y.\n", "\n", "This warning can be disabled by either rescaling y before initializing the\n", "model or by setting rescale=False.\n", "\n", " data_scale_warning.format(orig_scale, rescale), DataScaleWarning\n", "/usr/local/lib/python3.7/dist-packages/arch/univariate/base.py:310: DataScaleWarning: y is poorly scaled, which may affect convergence of the optimizer when\n", "estimating the model parameters. The scale of y is 0.02518. Parameter\n", "estimation work better when this value is between 1 and 1000. The recommended\n", "rescaling is 10 * y.\n", "\n", "This warning can be disabled by either rescaling y before initializing the\n", "model or by setting rescale=False.\n", "\n", " data_scale_warning.format(orig_scale, rescale), DataScaleWarning\n" ] }, { "output_type": "stream", "name": "stdout", "text": [ "Iteration: 1, Func. Count: 7, Neg. LLF: -5020.327718598877\n", "Iteration: 2, Func. Count: 20, Neg. LLF: -5033.742504521877\n", "Iteration: 3, Func. Count: 33, Neg. LLF: -5035.578939260673\n", "Optimization terminated successfully. (Exit mode 0)\n", " Current function value: -5035.578969695771\n", " Iterations: 7\n", " Function evaluations: 33\n", " Gradient evaluations: 3\n", " Constant Mean - GJR-GARCH Model Results \n", "==============================================================================\n", "Dep. Variable: xrate R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: GJR-GARCH Log-Likelihood: 5035.58\n", "Distribution: Normal AIC: -10061.2\n", "Method: Maximum Likelihood BIC: -10027.8\n", " No. Observations: 5868\n", "Date: Mon, May 30 2022 Df Residuals: 5867\n", "Time: 21:26:28 Df Model: 1\n", " Mean Model \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "mu 1.1827 4.234e-03 279.319 0.000 [ 1.174, 1.191]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 5.0668e-04 1.226e-05 41.334 0.000 [4.827e-04,5.307e-04]\n", "alpha[1] 0.2000 5.368e-03 37.262 6.885e-304 [ 0.189, 0.211]\n", "gamma[1] 0.1000 9.161e-03 10.915 9.811e-28 [8.203e-02, 0.118]\n", "beta[1] 0.7300 8.104e-03 90.075 0.000 [ 0.714, 0.746]\n", "============================================================================\n", "\n", "Covariance estimator: robust\n", "Iteration: 1, Func. Count: 7, Neg. LLF: -5419.928643095245\n", "Iteration: 2, Func. Count: 21, Neg. LLF: -5485.103600690492\n", "Iteration: 3, Func. Count: 35, Neg. LLF: -5485.929735485458\n", "Iteration: 4, Func. Count: 49, Neg. LLF: -5485.939764174315\n", "Iteration: 5, Func. Count: 58, Neg. LLF: -5524.733030633241\n", "Iteration: 6, Func. Count: 72, Neg. LLF: -5524.760797715954\n", "Optimization terminated successfully. (Exit mode 0)\n", " Current function value: -5524.760802474538\n", " Iterations: 10\n", " Function evaluations: 72\n", " Gradient evaluations: 6\n", " Constant Mean - TARCH/ZARCH Model Results \n", "==============================================================================\n", "Dep. Variable: xrate R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: TARCH/ZARCH Log-Likelihood: 5524.76\n", "Distribution: Normal AIC: -11039.5\n", "Method: Maximum Likelihood BIC: -11006.1\n", " No. Observations: 5868\n", "Date: Mon, May 30 2022 Df Residuals: 5867\n", "Time: 21:26:28 Df Model: 1\n", " Mean Model \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "mu 1.1804 8.792e-04 1342.615 0.000 [ 1.179, 1.182]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 3.1183e-03 2.212e-04 14.100 3.793e-45 [2.685e-03,3.552e-03]\n", "alpha[1] 0.1964 7.907e-03 24.833 3.911e-136 [ 0.181, 0.212]\n", "gamma[1] 9.7850e-03 1.277e-03 7.661 1.838e-14 [7.282e-03,1.229e-02]\n", "beta[1] 0.7609 1.123e-02 67.783 0.000 [ 0.739, 0.783]\n", "============================================================================\n", "\n", "Covariance estimator: robust\n" ] }, { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.7/dist-packages/arch/univariate/base.py:310: DataScaleWarning: y is poorly scaled, which may affect convergence of the optimizer when\n", "estimating the model parameters. The scale of y is 0.02518. Parameter\n", "estimation work better when this value is between 1 and 1000. The recommended\n", "rescaling is 10 * y.\n", "\n", "This warning can be disabled by either rescaling y before initializing the\n", "model or by setting rescale=False.\n", "\n", " data_scale_warning.format(orig_scale, rescale), DataScaleWarning\n" ] }, { "output_type": "stream", "name": "stdout", "text": [ "Iteration: 1, Func. Count: 7, Neg. LLF: -4821.794788001211\n", "Iteration: 2, Func. Count: 24, Neg. LLF: -4841.7585110206655\n", "Optimization terminated successfully. (Exit mode 0)\n", " Current function value: -4841.758510811218\n", " Iterations: 6\n", " Function evaluations: 24\n", " Gradient evaluations: 2\n", " Constant Mean - GARCH Model Results \n", "====================================================================================\n", "Dep. Variable: xrate R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: GARCH Log-Likelihood: 4841.76\n", "Distribution: Standardized Student's t AIC: -9673.52\n", "Method: Maximum Likelihood BIC: -9640.13\n", " No. Observations: 5868\n", "Date: Mon, May 30 2022 Df Residuals: 5867\n", "Time: 21:26:28 Df Model: 1\n", " Mean Model \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "mu 1.1815 4.579e-03 258.032 0.000 [ 1.172, 1.190]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 5.0369e-04 1.462e-05 34.452 4.262e-260 [4.750e-04,5.323e-04]\n", "alpha[1] 0.2000 4.353e-03 45.941 0.000 [ 0.191, 0.209]\n", "beta[1] 0.7800 5.365e-03 145.383 0.000 [ 0.769, 0.791]\n", " Distribution \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "nu 12.0001 7.637e-02 157.137 0.000 [ 11.850, 12.150]\n", "========================================================================\n", "\n", "Covariance estimator: robust\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "
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\n" }, "metadata": {}, "execution_count": 81 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" 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\n" 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "" ], "metadata": { "id": "dLErR897qqkT" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "" ], "metadata": { "id": "klv3WEAEqqhe" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "#https://fred.stlouisfed.org/docs/api/fred/#General_Documentation" ], "metadata": { "id": "U_aaWnMurFHd" } }, { "cell_type": "markdown", "source": [ "Search for data series\n", "You can always search for data series on the FRED website. But sometimes it can be more convenient to search programmatically. fredapi provides a search() method that does a fulltext search and returns a DataFrame of results." ], "metadata": { "id": "EME8q5NQrFEh" } }, { "cell_type": "code", "source": [ "fred.search('consumer confidence')" ], "metadata": { "id": "g_Jn5Mp-znvv", "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "outputId": "b61541dc-4627-4d27-8142-949149f01cf2" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " id realtime_start realtime_end \\\n", "series id \n", "UMCSENT UMCSENT 2022-04-07 2022-04-07 \n", "MICH MICH 2022-04-07 2022-04-07 \n", "CSCICP03USM665S CSCICP03USM665S 2022-04-07 2022-04-07 \n", "CSCICP03EZM665S CSCICP03EZM665S 2022-04-07 2022-04-07 \n", "UMCSENT1 UMCSENT1 2022-04-07 2022-04-07 \n", "... ... ... ... \n", "CCDIOA17460Q156N CCDIOA17460Q156N 2022-04-07 2022-04-07 \n", "CCDIOA26420Q156N CCDIOA26420Q156N 2022-04-07 2022-04-07 \n", "CCDIOA37100Q156N CCDIOA37100Q156N 2022-04-07 2022-04-07 \n", "CCDIOA40140Q156N CCDIOA40140Q156N 2022-04-07 2022-04-07 \n", "CCDIOA35300Q156N CCDIOA35300Q156N 2022-04-07 2022-04-07 \n", "\n", " title \\\n", "series id \n", "UMCSENT University of Michigan: Consumer Sentiment \n", "MICH University of Michigan: Inflation Expectation \n", "CSCICP03USM665S Consumer Opinion Surveys: Confidence Indicator... \n", "CSCICP03EZM665S Consumer Opinion Surveys: Confidence Indicator... \n", "UMCSENT1 University of Michigan: Consumer Sentiment (DI... \n", "... ... \n", "CCDIOA17460Q156N CredAbility Consumer Distress Index for Clevel... \n", "CCDIOA26420Q156N CredAbility Consumer Distress Index for Housto... \n", "CCDIOA37100Q156N CredAbility Consumer Distress Index for Oxnard... \n", "CCDIOA40140Q156N CredAbility Consumer Distress Index for Rivers... \n", "CCDIOA35300Q156N CredAbility Consumer Distress Index for New Ha... \n", "\n", " observation_start observation_end frequency \\\n", "series id \n", "UMCSENT 1952-11-01 2022-02-01 Monthly \n", "MICH 1978-01-01 2022-02-01 Monthly \n", "CSCICP03USM665S 1960-01-01 2022-02-01 Monthly \n", "CSCICP03EZM665S 1973-01-01 2022-02-01 Monthly \n", "UMCSENT1 1952-11-01 1977-11-01 Not Applicable \n", "... ... ... ... \n", "CCDIOA17460Q156N 2005-01-01 2013-01-01 Quarterly \n", "CCDIOA26420Q156N 2005-01-01 2013-01-01 Quarterly \n", "CCDIOA37100Q156N 2005-01-01 2013-01-01 Quarterly \n", "CCDIOA40140Q156N 2005-01-01 2013-01-01 Quarterly \n", "CCDIOA35300Q156N 2005-01-01 2013-01-01 Quarterly \n", "\n", " frequency_short units \\\n", "series id \n", "UMCSENT M Index 1966:Q1=100 \n", "MICH M Percent \n", "CSCICP03USM665S M Normalised (Normal=100) \n", "CSCICP03EZM665S M Normalised (Normal=100) \n", "UMCSENT1 NA Index 1966:Q1=100 \n", "... ... ... \n", "CCDIOA17460Q156N Q Percent \n", "CCDIOA26420Q156N Q Percent \n", "CCDIOA37100Q156N Q Percent \n", "CCDIOA40140Q156N Q Percent \n", "CCDIOA35300Q156N Q Percent \n", "\n", " units_short seasonal_adjustment \\\n", "series id \n", "UMCSENT Index 1966:Q1=100 Not Seasonally Adjusted \n", "MICH % Not Seasonally Adjusted \n", "CSCICP03USM665S Normalised (Normal = 100) Seasonally Adjusted \n", "CSCICP03EZM665S Normalised (Normal = 100) Seasonally Adjusted \n", "UMCSENT1 Index 1966:Q1=100 Not Seasonally Adjusted \n", "... ... ... \n", "CCDIOA17460Q156N % Not Seasonally Adjusted \n", "CCDIOA26420Q156N % Not Seasonally Adjusted \n", "CCDIOA37100Q156N % Not Seasonally Adjusted \n", "CCDIOA40140Q156N % Not Seasonally Adjusted \n", "CCDIOA35300Q156N % Not Seasonally Adjusted \n", "\n", " seasonal_adjustment_short last_updated \\\n", "series id \n", "UMCSENT NSA 2022-03-25 10:01:02-05:00 \n", "MICH NSA 2022-03-25 10:01:12-05:00 \n", "CSCICP03USM665S SA 2022-03-10 10:39:06-06:00 \n", "CSCICP03EZM665S SA 2022-03-10 10:47:08-06:00 \n", "UMCSENT1 NSA 2004-01-12 12:08:18-06:00 \n", "... ... ... \n", "CCDIOA17460Q156N NSA 2013-05-17 14:01:30-05:00 \n", "CCDIOA26420Q156N NSA 2013-05-17 14:01:32-05:00 \n", "CCDIOA37100Q156N NSA 2013-05-17 14:01:50-05:00 \n", "CCDIOA40140Q156N NSA 2013-05-17 14:01:19-05:00 \n", "CCDIOA35300Q156N NSA 2013-05-17 14:01:42-05:00 \n", "\n", " popularity notes \n", "series id \n", "UMCSENT 78 At the request of the source, the data is dela... \n", "MICH 70 Median expected price change next 12 months, S... \n", "CSCICP03USM665S 49 OECD descriptor ID: CSCICP03 OECD unit ID: IXN... \n", "CSCICP03EZM665S 22 OECD descriptor ID: CSCICP03 OECD unit ID: IXN... \n", "UMCSENT1 22 Please see FRED data series UMCSENT for monthl... \n", "... ... ... \n", "CCDIOA17460Q156N 1 Overview of the Index The Index is a quarterly... \n", "CCDIOA26420Q156N 1 Overview of the Index The Index is a quarterly... \n", "CCDIOA37100Q156N 1 Overview of the Index The Index is a quarterly... \n", "CCDIOA40140Q156N 1 Overview of the Index The Index is a quarterly... \n", "CCDIOA35300Q156N 1 Overview of the Index The Index is a quarterly... \n", "\n", "[297 rows x 15 columns]" ], "text/html": [ "\n", "
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idrealtime_startrealtime_endtitleobservation_startobservation_endfrequencyfrequency_shortunitsunits_shortseasonal_adjustmentseasonal_adjustment_shortlast_updatedpopularitynotes
series id
UMCSENTUMCSENT2022-04-072022-04-07University of Michigan: Consumer Sentiment1952-11-012022-02-01MonthlyMIndex 1966:Q1=100Index 1966:Q1=100Not Seasonally AdjustedNSA2022-03-25 10:01:02-05:0078At the request of the source, the data is dela...
MICHMICH2022-04-072022-04-07University of Michigan: Inflation Expectation1978-01-012022-02-01MonthlyMPercent%Not Seasonally AdjustedNSA2022-03-25 10:01:12-05:0070Median expected price change next 12 months, S...
CSCICP03USM665SCSCICP03USM665S2022-04-072022-04-07Consumer Opinion Surveys: Confidence Indicator...1960-01-012022-02-01MonthlyMNormalised (Normal=100)Normalised (Normal = 100)Seasonally AdjustedSA2022-03-10 10:39:06-06:0049OECD descriptor ID: CSCICP03 OECD unit ID: IXN...
CSCICP03EZM665SCSCICP03EZM665S2022-04-072022-04-07Consumer Opinion Surveys: Confidence Indicator...1973-01-012022-02-01MonthlyMNormalised (Normal=100)Normalised (Normal = 100)Seasonally AdjustedSA2022-03-10 10:47:08-06:0022OECD descriptor ID: CSCICP03 OECD unit ID: IXN...
UMCSENT1UMCSENT12022-04-072022-04-07University of Michigan: Consumer Sentiment (DI...1952-11-011977-11-01Not ApplicableNAIndex 1966:Q1=100Index 1966:Q1=100Not Seasonally AdjustedNSA2004-01-12 12:08:18-06:0022Please see FRED data series UMCSENT for monthl...
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CCDIOA17460Q156NCCDIOA17460Q156N2022-04-072022-04-07CredAbility Consumer Distress Index for Clevel...2005-01-012013-01-01QuarterlyQPercent%Not Seasonally AdjustedNSA2013-05-17 14:01:30-05:001Overview of the Index The Index is a quarterly...
CCDIOA26420Q156NCCDIOA26420Q156N2022-04-072022-04-07CredAbility Consumer Distress Index for Housto...2005-01-012013-01-01QuarterlyQPercent%Not Seasonally AdjustedNSA2013-05-17 14:01:32-05:001Overview of the Index The Index is a quarterly...
CCDIOA37100Q156NCCDIOA37100Q156N2022-04-072022-04-07CredAbility Consumer Distress Index for Oxnard...2005-01-012013-01-01QuarterlyQPercent%Not Seasonally AdjustedNSA2013-05-17 14:01:50-05:001Overview of the Index The Index is a quarterly...
CCDIOA40140Q156NCCDIOA40140Q156N2022-04-072022-04-07CredAbility Consumer Distress Index for Rivers...2005-01-012013-01-01QuarterlyQPercent%Not Seasonally AdjustedNSA2013-05-17 14:01:19-05:001Overview of the Index The Index is a quarterly...
CCDIOA35300Q156NCCDIOA35300Q156N2022-04-072022-04-07CredAbility Consumer Distress Index for New Ha...2005-01-012013-01-01QuarterlyQPercent%Not Seasonally AdjustedNSA2013-05-17 14:01:42-05:001Overview of the Index The Index is a quarterly...
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297 rows × 15 columns

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\n", " " ] }, "metadata": {}, "execution_count": 7 } ] }, { "cell_type": "markdown", "source": [ "You can also search by release id and category id with various options" ], "metadata": { "id": "6uCzg0T0raXG" } }, { "cell_type": "code", "source": [ "df1 = fred.search_by_release(11)\n", "df2 = fred.search_by_category(101, limit=10, order_by='popularity', sort_order='desc')" ], "metadata": { "id": "-CffO5vxrbii" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "df1" ], "metadata": { "id": "f7PR7ck6ra9X" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "df2" ], "metadata": { "id": "6Gadtol2rj4i" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "info = fred.get_series_info('PAYEMS')\n", "info['title']" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "id": "F7N2TbI2tiY5", "outputId": "7adecc52-f33a-45c8-be60-0510da7d28c1" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "'All Employees, Total Nonfarm'" ], "application/vnd.google.colaboratory.intrinsic+json": { "type": "string" } }, "metadata": {}, "execution_count": 12 } ] }, { "cell_type": "code", "source": [ "s = fred.get_series('SP500', observation_start='1/31/2014')\n", "s.tail()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "XSb4vhjJto46", "outputId": "c95093b2-e309-455d-8050-23f68bc27e29" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "2022-03-30 4602.45\n", "2022-03-31 4530.41\n", "2022-04-01 4545.86\n", "2022-04-04 4582.64\n", "2022-04-05 4525.12\n", "dtype: float64" ] }, "metadata": {}, "execution_count": 13 } ] }, { "cell_type": "code", "source": [ "s = fred.get_series('SP500', observation_start='2014-09-02', observation_end='2014-09-05')\n", "s.tail()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "WH28ptTztwB6", "outputId": "3d4edc1f-d42a-4aa8-da32-03b1887ba7a0" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "2014-09-02 2002.28\n", "2014-09-03 2000.72\n", "2014-09-04 1997.65\n", "2014-09-05 2007.71\n", "dtype: float64" ] }, "metadata": {}, "execution_count": 14 } ] }, { "cell_type": "markdown", "source": [ "You can also get a set of series IDs programmatically by release or category IDs. Several sorting options are also available. On the FRED website I know that the release ID 175 contains some personal income data. Let's fetch 5 most popular series in that set." ], "metadata": { "id": "SrtodlhGt5Az" } }, { "cell_type": "code", "source": [ "personal_income_series = fred.search_by_release(175, limit=10, order_by='popularity', sort_order='desc')\n", "personal_income_series['title']" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "MvEHCblAt51D", "outputId": "f7a9cad8-0d4c-4e8d-f3fb-7544c0ca5662" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "series id\n", "PCPI06037 Per Capita Personal Income in Los Angeles Coun...\n", "SEAT653PCPI Per Capita Personal Income in Seattle-Tacoma-B...\n", "DALL148PCPI Per Capita Personal Income in Dallas-Fort Wort...\n", "ATLA013PCPI Per Capita Personal Income in Atlanta-Sandy Sp...\n", "SANF806PCPI Per Capita Personal Income in San Francisco-Oa...\n", "PCPI06073 Per Capita Personal Income in San Diego County...\n", "PCPI12086 Per Capita Personal Income in Miami-Dade Count...\n", "HOUS448PCPI Per Capita Personal Income in Houston-The Wood...\n", "SANA748PCPI Per Capita Personal Income in San Antonio-New ...\n", "PHOE004PCPI Per Capita Personal Income in Phoenix-Mesa-Sco...\n", "Name: title, dtype: object" ] }, "metadata": {}, "execution_count": 19 } ] }, { "cell_type": "code", "source": [ "import pandas as pd\n", "df = {}\n", "df['SF'] = fred.get_series('PCPI06075')\n", "df['NY'] = fred.get_series('PCPI36061')\n", "df['DC'] = fred.get_series('PCPI11001')\n", "df = pd.DataFrame(df)\n", "df.plot()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 286 }, "id": "fO5vBBFSuAoi", "outputId": "257ae040-8764-44b4-8530-43daedd94b13" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 21 }, { "output_type": "display_data", "data": { "text/plain": [ "
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YBTgCn2mt95iXeApYqJR6FdgBzDHL5wBfKKUSMAYPjG/0txVCiOZ0dCOsfBq6jIFLnq67fiuhWttNQFRUlI6OjrZ1GEKI811BKsy+BNy84L5fjHc7tTEhm4sjA2K01lHWaK91zMYRQgh7UlUOX0+CqjKjo96Ok0p+aSUPLthu1TYlsQghhDVpDcufgNQYuH0BBHS1dURn9e6agxSVV1m1TVkrTAghrCl6DuyYDyOfhO7X2jqaszqUVcwXm45y+6A/T9NoDEksQghhLUc3wYqnIHI0jHrG1tHU6fXl+3FzduQvV3axaruSWIQQorG0hm1zYP7N4N0JbvoEHOz71+vGhGx+3pfBQ5deSICnq1Xblj4WIYRojIIUY5mWQ79AxCgY9yG4e9s6qrOy1Ghe+Wkfwd7u3H2x9VclkcQihBANoTXs/ApWPA011XDNTGP9r4atldusFscksy+tkPfu6I+bs6PV25fEIoQQ56ooA5bNgAPLIfQiuOED8I2wdVT1UlxRzVv/i2dAqDfX9gmq+4QGkMQihBDnImkLfDXeWPJ+9Gsw9EFwsP7/9TeVj9cdIquogv9MGkgDdyKpkyQWIYSor/xkWDjB6EO5e6Xdz1E5VWp+GZ9sOMz1fS9gQKhPk11HEosQQtRHZamRVCyVcMciCLDuEN3m8K+V+wF4amy3Jr2OfY+HE0IIe6A1LH0Y0uPg5k9bZFL5NT6L72OPce+IcIK93Zv0WnLHIoQQdfntbdizBC5/AbpcZetozomlRvPh2gTe+TmeCP+2PDiqc5NfUxKLEEKczYGVsOYV6HULDH/c1tGck8yich5fFMvvCTlc3/cCXruxFx6uTf9rXxKLEEKcSdYB+PZeCOoD17/XIuaoHLfhYBaPL4qluKKaN2/uzW1RHZtsFNipJLEIIcTplOUZw4qd3WD8ly1m58dqSw1vr47no/WH6BzgwZf3DaVLoGezxiCJRQghTqU1fHufMbx4yo/gFWLriOqlsrqGSXO2sCUxl/GDOvLCdT1xd2n+OTaSWIQQ4lQ7F0LCahj7L+g0zNbR1Nt/1h9iS2Iub97c2+pL4Z+LOocbK6U+U0plKqV21yr7l1Jqv1Jql1LqO6WUt1keppQqU0rFmq+Pa50zUCkVp5RKUErNUubDPqWUr1JqtVLqoPnuY5Yrs16CeZ0B1v/6QghxitJc+N9zEDIYBt1r62jqLSGzmPd+SeCaPkE2TSpQv3ksnwNjTilbDfTSWvcB4oHaGw8c0lr3M18P1Cr/CLgPiDRfx9t8GlijtY4E1pg/A4ytVXeaeb4QQjStn1+Esny49h27X/r+uJoazbNL4nB3ceTF63raOpy6E4vW+lcg95Sy/2mtq80fNwNnfQCplAoC2mmtN2utNTAPuME8PA6Ya36ee0r5PG3YDHib7QghRNNI2gLb58Kwh6BDL1tHU29fbUti65Fcnru6u9X3VmkIa6Tju4EVtX4OV0rtUEqtV0qNMMuCgZRadVLMMoBArXWa+TkdCKx1TvIZzhFCCOuyVMGyx6FdCFzydN317URGYTlvLN/PRRf6cWuUfQwyaFTnvVLqOaAaWGAWpQGhWuscpdRA4HulVL3vy7TWWimlGxDHNIzHZYSG2vbZohCihdr8EWTuMYYWu3rYOpp6+8fS3VRaavjnjb2bbZ5KXRp8x6KUugu4FrjTfLyF1rpCa51jfo4BDgFdgFROflwWYpYBZBx/xGW+Z5rlqUDHM5xzEq31bK11lNY6KiAgoKFfSQhh79Lj4I1OxrpdBaf9ddAw+cmw7nXoejV0u8Z67TaxlbvTWLUngxlXdCHMv62twzmhQYlFKTUGeBK4XmtdWqs8QCnlaH6OwOh4P2w+6ipUSg01R4NNBpaap/0ATDE/TzmlfLI5OmwoUFDrkZkQ4nz061tQXQG7vob3BsDqfxgTGRtrxVPG+9g3G99WMykoq+IfS/fQPagd946w/vbCjVGf4cZfAZuArkqpFKXUPcD7gCew+pRhxSOBXUqpWGAx8IDW+njH/0PAp0ACxp3M8X6ZN4ArlVIHgSvMnwGWA4fN+p+Y5wshzlfZCbB3qbGx1vRo6HED/D4L3u0Lv78LVWUNa3f/T3DgJxj1NHi3nEfpb67cT3ZxBW/e3BtnR/savabMp1itRlRUlI6OjrZ1GEIIa1s6HeK+gRlx4NHeKEvfDWtegoP/g3bBcNVr0PPG+rdZUQwfDAG3dnD/r+Do3DSxW9nmwzmMn72Ze4eH8/y1PazSplIqRmsdZY227CvNCSHE6RSkGrPh+0/8I6mAMST4zm9gyjKj/Ju7YOei+rVZY4EfH4PCFGPOSgtJKvEZRTw4P4ZOfm34y2j73BdGEosQwv5t/hB0DVz06OmPh4+AqSsh/BL4/kHj8dbZ1Fjguwdg92Jjj5XQodaPuQkk5ZQy8dMtODs6MO/uwbRxsc9VuSSxCCHsW2kuRP8Xet8CPp3OXO/4KsQX9DfuXA6vO32940kl7mu47O8w4i9NEbXVpReUM+HTzVRaaph/7xA6+dnPKLBTSWIRQti3rbOhqgQunlF3XVcP49GYXyR8NQGSt518/NSkMvKvTROzleUUVzBxzhbyS6uYO3Vwsy+Df64ksQgh7FdFMWz5GLqMhcB6dlK38YVJ34FnICy42ejghxabVArLq5jy360k55YyZ0oUfTt62zqkOkliEULYr+3zjHkq5/q4yjMQJi8FFw/44kbIim+RSaWs0sI9n29jf1oRH08cyJAIP1uHVC+SWIQQ9qm6Eja9D52GQ8fB536+dyhM+h60BT6+uMUllcrqGh6YH0PM0Tz+Pb4fl3ZrX/dJdkISixDCPu1aBIWpMOLxhrcR0AUmLgGPQLjixRaTVLTWPPtdHOvjs3j9pt5c2+cCW4d0TuxzrJoQ4vxWY4Hf/w0d+sCFlzeurQv6weO7665nR97/JYHFMSk8dnmkzTftagi5YxFC2J/9yyAnAYY/DnayYm9zWRqbyszV8dzUP5gZV0TaOpwGkcQihLAvWsNv74BvBPQYZ+tomtXWxFz+9s0uhoT78vrN9rMM/rmSxCKEsC9HfoNjO4xZ9g6Oto6m2RzOKmbaF9GE+Loze1IUrk4t97tLYhFC2JeNs6CNP/Qdb+tImk1OcQVTP9+Go1J8ftdgvNq0jHXLzkQSixDCfmTuM1YqHnI/OLvbOppmUV5lYdoXMaQXlPPplChC/drYOqRGk1FhQgj7sfE9cG4Dg+61dSTNQmvNk4t3sT0pjw8nDKB/qI+tQ7IKuWMRQtiHwmPGzpD9JxrLspwH5vyWyA87j/HX0V0Z2zvI1uFYjSQWIYR92PKxMUt+2MO2jqRZbD6cw+sr9nNVz0AeGnWhrcOxqnolFqXUZ0qpTKXU7lplvkqp1Uqpg+a7j1mulFKzlFIJSqldSqkBtc6ZYtY/qJSaUqt8oFIqzjxnljLH2J3pGkKIVqa80Fgav8c48AmzdTRNLr2gnOlfbqeTXxveurVvix1WfCb1vWP5HBhzStnTwBqtdSSwxvwZYCwQab6mAR+BkSSAF4AhwGDghVqJ4iPgvlrnjanjGkKI1mT7XKgoPPNGXq1IRbWFBxfEUFpp4T8TB+Lp1rJHgJ1OvRKL1vpXIPeU4nHAXPPzXOCGWuXztGEz4K2UCgKuAlZrrXO11nnAamCMeayd1nqz1loD805p63TXEEK0FpYq2PwRhI2A4AF112/hXlm2lx1J+bx1a18i7XxflYZqTB9LoNY6zfycDgSan4OB5Fr1Usyys5WnnKb8bNcQQrQWu5cYi02eB3cri2NSmL85iftHRnB1K+qsP5VVOu/NOw1tjbYacg2l1DSlVLRSKjorK6spwxBCWJPWxoTIgG4QeaWto2lSu1MLeO67OIZF+PG3q7raOpwm1ZjEkmE+xsJ8zzTLU4GOteqFmGVnKw85TfnZrnESrfVsrXWU1joqICCgEV9JCNGsDv0CGbvhokda9WKT+aWVPDA/Bt+2Lrw3oT9Ojq17QG5jvt0PwPGRXVOApbXKJ5ujw4YCBebjrFXAaKWUj9lpPxpYZR4rVEoNNUeDTT6lrdNdQwjRGmycBR4doPetto6kSb34wx7SC8r58M4B+Hu42jqcJlevmfdKqa+AUYC/UioFY3TXG8DXSql7gKPAbWb15cDVQAJQCkwF0FrnKqVeAbaZ9V7WWh8fEPAQxsgzd2CF+eIs1xBCtHRJW+DwOmMDLqfW+8t21Z50vo89xowrIlvNzPq6KKProvWIiorS0dHRtg5DCHE2mfvhv2PB1QMe+A3cvGwdUZPILalk9Dvrae/pxtLpF+Nsx4/AlFIxWusoa7Qla4UJIZpX3hH44gZwdDb2pG+lSQXghR/2UFBWxRf3DLHrpGJt5883FULUrcYC6/8PvroD4hZDVbl12y9Mg3njoKrMSCp+rWspk9qWx6Xx485jPHpZJN2D2tk6nGYldyxCCENJDnx7DxxeC20D4MBycPeBPuNh4BRo371x7Zfmwhc3Qkk2TP4BAntYJ247lF1cwfPf76Z3sBcPtLJ1wOpDEosQwtixcdFkKM6A69+DfhMhcT1snwfRc2DLRxAyGAZMhl43gUvbc2u/ogjm3wy5h2HiYggZ2DTfw078Y+luisureevWvufVI7DjJLEIcb7b/gX89AR4tIe7V/6xrMqFlxqvkhzYtRBi5sIP02HVs9DnNhg4FTr0qrv9qjL4cjyk7YTxCyB8ZNN+HxtbtusYy+PSeXJMV7p2aJ1LttRFRoUJcb6qroAVT0LM5xB+CdzyX2jrd+b6WkPyFmMV4j3fgaUCQgYZCabnjeBi7nxYXQk5ByFjL2TugUNrjaRy0yfQp3XPV8kqqmD0O+sJ9WvLtw8Ma1ETIa05KkwSixDno7I8mH8LpEbDxTPgsr+D4zk8wCjNhZ0LIfozI4m4eUGn4cajrpyDUFNt1HNwAv8uxjpg/e5omu9iQ/mllcRnFBOfUcTBjCI2HsrhaG4pyx8dTuf2LetuRYYbCyEazlIN30w17iJum2fsgXKu2vjCsIdg6INw9HfjLubYDvCPhK5jIbAntO8Bfp3BycX638GG9qUV8s/l+9ifXkRWUcWJ8rYujnQO9OStW/u2uKRibZJYhDjfrP67MfLr+vcallRqUwrChhuv80BmUTl3f76NKksNl3RpT5dAD7oEehIZ6EGwt3uL3bDr+4TvrdqeJBYhzifbv4DNH8KQB4wRXqLeKqotPPBFDPmlVSx+cBg9L2gdEzs/3/05M2NmWrXNltOzJIRonKTNsOxxiLgURr9m62haFK01z323m+1J+bx9W99WkVS01ry7/V1mxszkqrCrrNq2JBYhzgf5ybBoIniHwq3/PbeOesFnvx9hcUwKj10eydhWsEGXpcbCK5tf4dO4T7m1y628OeJNq7Yvf7uEaO0qS4wlWqor4K6Fxmx6UW+/xmfx2k97GdOzA49dHmnrcBqtylLFs789y8ojK7m397082v9Rq/cNSWIRojWrqYHvHjDmk0z4GgK62DqiFiUxu4TpX26nS6AnM2/ri4NDy+ycP66suozH1z3O76m/88TAJ7ir111Nch1JLEK0VlrD2ldh3w8w+tVWv/WvtRWWV3Hv3G04OTrwyeQo2rq2rF+XWmuKqorIL88nryKP/PJ85uyew86snbx00UvcFHlTk127Zf1JCSHqR2v43/Ow6X1j9New6baOqEUpLK/i4QXbOZpTyvx7h9DRt42tQ6pTZmkmKxJXsOrIKlKLUymoKMCiLSfVcXZw5l8j/8XosNFNGoskFiFamxoL/PgY7PgCBk+DMW+26v3krW17Uh6PfrWDtIJyXr+pN0MjzrLMjY2VVJXw89GfWXZ4GVvStqDR9PLrxeWhl+Pt6o23qzc+bj4nPgd7BuPr5tvkcUliEaI1qa6EJffB3u9h5N/g0uckqdSTpUbz8fpDvL06niAvN76+fxgDO9nfQIeMkgxiMmJYl7yOtclrKbeUE+IRwv197+ea8GsI8wqzdYgNTyxKqa7AolpFEcA/AG/gPiDLLH9Wa73cPOcZ4B7AAjyqtV5llo8B3gUcgU+11m+Y5eHAQsAPiAEmaa0rGxqzEK1aZSl8PQkSfoYrX4GLH7V1RC1GekE5j86ThZAAACAASURBVC+KZdPhHK7tE8Q/b+pNOzdnW4eF1pqUohSiM6KJyYghJiOGlOIUALxcvRjXeRzXRlxL34C+djXr3yqLUCqlHIFUYAgwFSjWWr91Sp0ewFfAYOAC4Gfg+BCVeOBKIAXYBtyhtd6rlPoaWKK1XqiU+hjYqbX+6GyxyCKU4rxUXgBf3m5Mgrzu3zDwLltH1GL8vDeDvy3eSXlVDS+N68mtA0Ns/ks6Pi+eHw/9yIrEFWSUZgDg7erNwMCBJ15dfLrg5GC9h072uAjl5cAhrfXRs/wHGQcs1FpXAIlKqQSMJAOQoLU+DKCUWgiMU0rtAy4DJph15gIvAmdNLEKcd0pyYP6NkLEHbpkDvW62dURNJjW/jKWxqVRW1+CgFA4KlFI4OhifLwzw4LJu7euVGIrKq/jn8v18tTWJHkHteG9Cfy4M8GiGb3F62WXZLD+8nB8P/8j+3P04KSeGhwxnWp9pDAwcSIRXhM0TXn1ZK7GMx7gbOW66UmoyEA08obXOA4KBzbXqpJhlAMmnlA/BePyVr7WuPk19IQRAcRbMu95Yrn78V9ClaUf72MrhrGI+Xn+IJdtTqa45+1OWoRG+vHBdz7PuM7/2QCbPLokjo7Cc+0aE89eruuLq5GjtsOtlY+pG5u+bz8ZjG7FoC738evHM4GcYGz4WHzf76+Opj0YnFqWUC3A98IxZ9BHwCqDN95nA3Y29Th0xTAOmAYSGhjblpYSwH0UZRlLJOwp3LDR2e2xl9h4r5IN1CSyPS8PF0YGJQzsxbWQEQV5u1Gio0RpLjUZrqK6pYWnsMd763wGumbWBCUNCeeLKrvi0/WPZ/vzSSl5etpcl21OJbO/Bhw9eRP9Q2/zyzirN4s1tb7LqyCrat2nP1F5TuS7iOiK8I2wSjzVZ445lLLBda50BcPwdQCn1CbDM/DEV6FjrvBCzjDOU5wDeSikn866ldv2TaK1nA7PB6GNp7BcSwu4VpcPc66AgBe78utVt97vnWAEz/xfPL/sz8XB14oFLLuSe4eH4e7ieqOOowBGF84kbDUcmDu3EtX2CeGd1PPO3JPHjzjSeGN2FCYND+XlfJs9/v5u80koeuawz0y/rbJO7FEuNhW/iv+Hd7e9Saalker/pTO01FRfH1rNvTaM7780+kVVa6/+aPwdprdPMz48DQ7TW45VSPYEv+aPzfg0QCSiMzvvLMRLHNmCC1nqPUuob4Ntanfe7tNYfni0e6bwXrV7hMSOpFKbBnd9A2MW2jsiqdqcWcPt/NuHs5MDdF4czZVgYXm3OfYTWgfQiXvpxDxsP5RDg6UpWUQU9gtrxf7f0oVewbVYnPpB7gJc3vcyu7F0MCRrC34f+nU7tOtkkllPZzdbESqm2QBIQobUuMMu+APphPAo7AtxfK9E8h/FYrBqYobVeYZZfDfwbY7jxZ1rr18zyCIzhxr7ADmCi2fl/RpJYRKtWkAKfXwslWTDxWwgdauuIrCopp5SbPtqIq5MD3z54ER283BrVntaaVXvS+XDdIa7q2YFpIyNwtsE+9CVVJXy882O+2PsFXq5e/G3Q37gm/Bq76oy3m8RijySxiFYrP8lIKmV5RlLpOLjuc1qQnOIKbvl4E7kllXz74LBWsb1vdU01Sw4u4YPYD8gtz+XmyJt5fODjeLna334u9jjcWAjRlFKi4evJUFEMk76HkIG2jsiqSiuruXtuNMfyy1hw75AWn1S01vya8iszY2aSWJDIwMCBfHD5B/Ty72Xr0JqFJBYh7JnWEP0ZrHgK2gXBXcsgqI+to7KqaksN07/cQVxKPh9NHEhUWNOvZdUQNbqGjJIMjhQeIbssG29XbwLaBODv7o+Pqw+ODsZAgD05e5gZPZNt6dsIaxfGu5e+y6UdL7Wrx15NTRKLEPaqshR++gvs/Ao6Xwk3zYY29vlLt6G01jz7XRy/7M/k1Rt6cVXPDrYOCTCSyNrktcRlxZFUlMSRwiMkFSZRYTl9F6+DcsDXzRdvV28S8hPwcfXhuSHPcXOXm3F2sP3SMM1NEosQ9ij3MCyaZMymH/UMjHwSHFrfTuLvrI7n6+gUHrmsMxOH2sfoqC1pW5gZPZN9uftwUk6EeIYQ1i6Mi4IuopNXJ8LaheHv7k9BRQHZZdlklWWRXZZ94nVZ6GXc1fMuPF1a9uO8xpDEIoS9ObASlkwzViW+85tWu0HXf9YfYtYvCdwWFcJfrrT9zpaH8g/xdszb/JryK0Ftg3h9xOuMCRtj1fW4zhfyJyaEvdAaNrwFv7wKQX3htnngE2brqKxOa83bq+N575cErukTxGs39rZp/0N2WTYfxH7AkoNLaOPUhscHPs6d3e/E1dG17pPFaUliEcIeVFfCshkQuwD63A7XvQvO7raOyupqajQvL9vL5xuPcHtUR/55U28cbbSPfGFlIfP2zGPe3nlUWaq4o9sd3N/n/ha7Ppc9kcQihK2V5Rn9KUc2GP0plzzVKjfnqrbU8PSSOBbHpHDP8HCev6a7Te5USqpKWLBvAZ/v+ZyiyiKu7HQljw14zG5mwLcGkliEsKW8I7DgVshNhBv/A33H2zqiJlFZXcOMRTtYHpfOjCsieezySKsmFa01GaUZlFaV0qFtB9o4/3mP+rLqMhbuX8hnuz8jvyKfUSGjeLj/w3Tz7Wa1OIRBEosQtpK8Db4aDzVVMOk7CB9h64iaRFmlhQfmx7A+Povnr+nOvSMat3pvfnk+8XnxHMw/SEJ+Agl5CSTkJ1BcVXyijperFxe0vYCgtkFc4HEB7k7uLDm4hJzyHC664CKm95tO74Dejf1q4gwksQhhC3u+h+/uB88OMOEbCLD9qKimcDCjiL8t3sXOlHzeuKk34wc3fFuLsuoy3t/xPvP3zadG1wBGAon0juSaiGuI9I6krUtb0kvSSStO41jJMY4WHmVT2ibKqsuICozi7VFvMyBwgLW+njgDSSxCNKfqSvj5Bdj8IYQMhju+grb+to7K6soqLbz3y0Fm/3qYtq5OfDhhAGN7BzW4va1pW3lh4wukFKdwS5dbGN1pNJE+kfi5+dX5SE1rTVl1Ge5O7ufV7HdbksQiRHPJOQSL74a0WBg8Da58BZwbt3pvYxSUVVFRZcHFyQFnRwdcnBxwclCN/uX7y/4M/rF0Dyl5Zdw8IIRnr+6Gn0fDhu4WVRYxM3om3x78llDPUD676jMGdRh0Tm0opU7b5yKajiQWIZpD3GL4cQY4OMLtC6D7tTYNZ+3+TO7/IoZKS81J5UqBs6MDAR6uDAn3ZeiFfgyL8KOjb92/mI/ll/HSj3tYtSeDzu09WDhtKEMj/BoeY9JaXt38Ktnl2UztOZWH+j2Em5PtErGoP0ksQjSlyhJY8STsmA8dh8LNn4J3x7rPa0IJmcU8+tUOOrf3YMKQUKosNVRW15x4r7RoknNLWR+fxZIdxqatIT7uDI3wY0i4Ly5ODuSWVJJXWkVeSSV5pcZrR1I+NVrz5Jiu3Ds8Ahenhi1BE5cVxydxn7A2eS2RPpHMumwWPf17WvOPQDQxSSxCNIWidEjaBGtfh+x4GPFXY46Ko23/yRWUVTFtXjSuzg58MiWKYO8zT8LUWhOfUcymQ9lsOpzDz/syWByTcuK4UuDl7oxvGxd82rowtlcQM66IrNfdzemu9Vvqb3y2+zOiM6LxdPHkkf6PMLXnVJwdz79FHFs6SSxCNFaNBTL3QvIWSNoCyZuNTbkAPDoYQ4kvvNS2MQKWGs2jX+0gOa+UL+8betakAkbfRNcOnnTt4MldF4dTU6M5lFWMUgrfti54uTs3etZ8VU0VKxNX8t89/+Vg3kEC2wTyt6i/cXOXm2nr3LZRbQvbaXRiUUodAYoAC1CttY5SSvkCi4AwjO2Jb9Na5ymjV/Bd4GqgFLhLa73dbGcK8LzZ7Kta67lm+UDgc8AdWA48plvbtpei5SnLh4Sf4cByOPgzVBQY5R6B0HEIDL7f2Da4Qx9wcrFtrKb/W7mf9fFZ/PPG3gxqwJ4nDg6KyEDrrNhbWlXKtwe/Zd7eeaSXpNPZuzOvDX+NsWFj5Q6lFbDWHculWuvsWj8/DazRWr+hlHra/PkpYCwQab6GAB8BQ8xE9AIQBWggRin1g9Y6z6xzH7AFI7GMAVZYKW4h6i83EQ6sgPgVcHQj1FRD2wDocR2EjYTQIeDdyS6XY/l+Ryr/+fUwk4Z2YsKQhs8laazssmy+3Pcliw4sorCykIGBA/n70L8zIniEDAVuRZrqUdg4YJT5eS6wDiOxjAPmmXccm5VS3kqpILPuaq11LoBSajUwRim1Dmintd5sls8DbkASi2hOpbnw3QNwcJXxc0B3uOhR6Ho1BA+0+31SdqXk89S3uxgS7ss/ruthkxiSCpOYu2cu3yd8T1VNFZeHXs7UXlPpE9C6dsMUBmskFg38Tymlgf9orWcDgVrrNPN4OhBofg4Gkmudm2KWna085TTlQjRMjQXWvAwOTjD8cXD1OHv9tF2waCIUHoNLn4feN4Nv45YkaU6ZReVMmxeDv4crH945AGfH5k2C2WXZ/Gvbv1iRuAInByeuv/B6pvScQrhXeLPGIZqXNRLLcK11qlKqPbBaKbW/9kGttTaTTpNRSk0DpgGEhtruNl/YuepKWHIf7P3e+HnnVzDmdeh+/ekfX+1cCD8+Bu6+cPdKCIlq3ngbKTY5nye+jqWgrIrFDw5r8CTFhtBa81PiT7yx9Q1Kq0qZ2msqE7tPJKBNQLPFIGyn0f/7orVONd8zge+AwUCG+YgL8z3TrJ4K1B7EH2KWna085DTlp8YwW2sdpbWOCgiQv7jiNKrKYOEEI6mMfhXuXgXuPvD1ZJh/kzEr/rjqSlj+N2Mtr+AouH99i0oqFdUW3ly5n5s+/J3SSgtz7oqi5wVezXb9zNJMHv3lUZ7Z8Ayd2nVi8XWLeXzg45JUziONSixKqbZKKc/jn4HRwG7gB2CKWW0KsNT8/AMwWRmGAgXmI7NVwGillI9SysdsZ5V5rFApNdQcUTa5VltC1E95Icy/xRjFde2/4aJHjBFb09bDmDchJRo+HAprXjE66OdeB1tnw7DpMPl78Ghv629QbzuT87l21m98tO4Qtw7syKrHR3LRhc2zFpnWmu8OfscN39/AprRN/DXqr8wbM48I75bz6FBYR2MfhQUC35mjOZyAL7XWK5VS24CvlVL3AEeB28z6yzGGGidgDDeeCqC1zlVKvQJsM+u9fLwjH3iIP4Ybr0A67sW5KM2F+TdD2k5j1nvvW/445ugEQx+AnjfA6n8Y2wJveAuc28DNc06ua+cqqi28+/NB/vPrYQI8XPnv1EFc2rXpE2JpVSnJRckkFyWz+OBifk/9nQHtB/DyxS/LxlnnMdXapoRERUXp6OhoW4ch7EFRBnxxg/GY69bPodvVZ69/5DeImQvDZ0Bgy1lCJD6jiOlfbic+o5hbB4bw/LU98HJv+FyQ7LJsUopSKK0qpay6jNJq872qlJLqEtKK00guSiapKInssj9mGbg7uTNjwAzGdxuPg7LvkXLiz5RSMVprqzzzlZn3onU6FguLpxpLq9z5NUSMqvucsOHGqwVZuTudJ76Oxd3Fif/eNYhLu53bXUqlpZJ9ufuIy4pjV9YudmXvIrX4T92YJ2nv3p6O7ToyIngEHT070rFdR0I9QwlrFyarCAtAEotobdJ2wro34cBPxmiuSd8bExdbmZoazb/XHGTWmoP07ejNfyYOpINX/Vf+3ZK2hQ9jPyQuO46qmioAAtsE0iegD3d0u4MIrwg8XDxwd3LH3cmdNk5tTnx2dHBsqq8lWglJLKJ1SI+DdW/A/mXg6gWjnjX6T9yabzRUcykqr+LxRbH8vC+T26JCeHlcL9yc6/fLPqMkg5nRM1lxZAXBHsFM7D6RPgF96O3fm8C2gXU3IEQ9SGIRLVvGXlj3T9j3o5lQnoEhD4C7t60jaxKHsoqZNi+aozmlvDyuJ5OGdqrXUihVNVV8ue9LPoz9kOqaah7q+xBTe02V/U1Ek5DEIlquw+tgwW3g5AqXPA1DH2y1CaWkoppVe9J5YekeXJwcmH/vkHpvorUtfRuvbX6NQwWHGBkykqcHPU3HdrbdE0a0bpJYRMt05Hf4cjz4dYYpP7S6feO1NpaoX3cgi7UHMtmWmEelpYZewe34z6S691FJyE9g07FN/Jb6G5vSNhHsEcx7l73HqI6jmu9LiPOWJBbR8iRvgy9vM3ZinLy01SSVmhrNlsRcfoo7xroDWaTklQHQJdCDuy4OY1TXAAaF+Z52va/ssmw2HdvEpmOb2Jy2mayyLADCvcJ5qN9DTO0pj71E85HEIlqWYzuMCY8e7WHyD+DR8pcJScwuYcn2FJZsTyU1v4w2Lo5c3NmfB0ddyKiu7c94d1JeXc6apDV8l/AdW9K2AODt6s2woGEMu8B4dWjboTm/ihCAJBbRkqTHwRc3grsXTPkR2gXZOqIGKyirYtmuY3wbk8L2pHwcFAyPDODJMV0Z3aMD7i5nHuW1N2cvSw4uYXnicooqiwj2COahvg9xScdL6ObbTSYnCpuTxCJahsz9MO8GY7mVKT+CV0jd59ihw1nFzPktkW+3p1BeVUOXQA+eGduNG/oHE9juzI+qkguTWZu8lh8P/8j+3P24OrpyRacruLHzjQzqMEiSibArkliE/cvcB/PGgYOjkVR8wmwd0TnR2ug7+XRDImv2Z+Ds4MCN/YOZOLQTvYLbnXa4sKXGwq7sXaxLXsf65PUcKjBWX+7u253nhjzH2PCxeLm2vjk6onWQxCLsl6UaNr5rTHx084Ipy8DvQltHVW/FFdWs2ZfBpxsSiUstwKeNM49c2plJw8II8Pzz3ihFlUVsOraJ9Snr2ZCygbyKPJyUEwM7DOSWLrdwScdL6Ogpw4SF/ZPEIuxTehwsfdhYoqXHOLj6Lbtavl5rTWFZNZlF5aQXlpOSV0ZSbinJ5ispt5S8UmOplAj/trx2Yy9u6h9yUt/J8WHBG1I3sCFlAzsyd2DRFtq5tGNEyAhGhYzi4uCL8XTxtNXXFKJBJLEI+1JdaS5fP9PYiOvWucay9jZQVmkhIbOY+Iwi4jOKSM4rJaOwgsyicjILK6iorjmpvpODItjHnVDfNoztHUSobxt6BLVjQKc2ZJZnsCN7CxklGaSXpJNSnMLW9K2kl6QD0NWnK1N7TWVkyEh6+/fGyUH+aYqWS/72CvuRGgNLp0PmXuhzO4x5A9r4Nsuly6ssxBzNY9OhHPanF3Ews4ik3FKO7yrh4uhAiK87gZ5uDAj1IbCdG+09XQnwdKW9pxshPm5oxzyOFiVyuGA/h/IPsSH/EPO3H6VgU8Gfrufv7k8f/z7c3+d+hgcPl2HBolWRxCJsq6oM9v4A2+fC0d/B8wK4YxF0HdOkl9VaczCzmF/js9hwMJstiTmUV9Xg6KCI8G9Lrwu8uLF/MF0DPYkM9CTMrw1O5sRES42FxIJEdufsIi57N3tT93Io/xCl1aUn2vd186Wzd2dGdxpNUNsgOrTtcOIV2CYQF0eXJv1+QtiSJBZhG+lxsH0e7FoE5QXgEw6XvwCD7mmSFYmNJVJKiD6Sy9YjuWxMyCG9sByACwPaMn5QKCO7+DMk3I+2rif/s8grz2Ndyi/EZsayO2c3+3L2nUgibZ3b0t23Ozd0voELvS/kQu8LifCKwMfNx+rfQYiWQhKLaD6VJRC3GGL+a8ygd3SFHtfDgMnQaTg4WG8uRkW1hb3HCok+ksfWI7nEHM0jt6QSAL+2LgyN8GNkF3+GRwb8aWZ7bnkuMRkxbEvfxrb0bSTkJwDg4uBCN99ujOs8jl7+vejl14swrzCZQyLEKRqcWJRSHYF5GPvea2C21vpdpdSLwH1Alln1Wa31cvOcZ4B7AAvwqNZ6lVk+BngXcAQ+1Vq/YZaHAwsBPyAGmKS1rmxozMJGshMgeg7sWAAVBdC+B4x5E/rcZpU+lIpqCwfSi4hLLWB3agG7UgqIzyiiymJ0kIT5teHybu0ZFOZLVJgP4f5tT8wd0VpztPAosZmx7MzayY7MHScSibuTO/3b9+eaiGuICoyip19PnB0bvuWvEOeLxtyxVANPaK23K6U8gRil1Grz2Dta67dqV1ZK9QDGAz2BC4CflVJdzMMfAFcCKcA2pdQPWuu9wJtmWwuVUh9jJKWPGhGzaC6WaohfCds+MZa3d3A27k4G3QehQ6Eee4icTU2N5n970/nstyPsSM47kUS82zjTO9iLe0dE0CfYi4FhPrT3/GNGu6XGws6snURnRLMzcyc7s3aSV5EHgIezB30C+kgiEaKRGpxYtNZpQJr5uUgptQ8IPssp44CFWusKIFEplQAMNo8laK0PAyilFgLjzPYuAyaYdeYCLyKJxX6VF8Dh9XDoF4hfBUXHoF0wXPq88bjLs/E7FFZUW/hueyqzfz3M4ewSQn3bcPfwcPqGeNM72IsQH/c/zWQvrixm47GNJ008BAhrF8YlHS+hb0Bf+gX0I8I7Qh5rCWEFVuljUUqFAf2BLcDFwHSl1GQgGuOuJg8j6WyudVoKfySi5FPKh2A8/srXWlefpr6wBzUWo68kYQ0cWgMp0aAt4OIJ4SOh3/9Bl7Hg2Pi/ZoXlVSzYnMRnvyeSVVRBzwva8d4d/Rnbq8OJ0VrHaa1JLEhkU9om1ievZ1vGNqprqk+aeDg0aCjebq1zUzAhbK3R/+KVUh7At8AMrXWhUuoj4BWMfpdXgJnA3Y29Th0xTAOmAYSGhjblpYTWxmz4XYuMjviSTEDBBf1hxF/gwssgZBA08BGS1pqs4goOZ5WQmF3C4axiDmeVsDUxl6KKaoZ39ued2/pxcWe/k/pJkouS2Zq+la3pW9mWvo3ssmzA2I9kUvdJjAwZSb/2/WTioRDNoFH/ypRSzhhJZYHWegmA1jqj1vFPgGXmj6lA7YWOQswyzlCeA3grpZzMu5ba9U+itZ4NzAaIiorSjflO4gzykyDuG9i5CLIPgKMLdLkKetwAEZdC2/ptk1tbUXkV+9OL2HuskH1phexLL+JwZjFFFdUn6rg6ORDu35bRPTtw10Vh9A4xhiJX11Sz9dhWVh5ZycZjG8koNf7a+bv7M6jDIAZ3GMyQDkNkC14hbKAxo8IUMAfYp7V+u1Z5kNn/AnAjsNv8/APwpVLqbYzO+0hgK6CASHMEWCpGB/8ErbVWSq0FbsEYGTYFWNrQeMU5qrEYdyaJv8LB/xmTFwFCh8G1/zaWWXGve65GRbWFtPxykvNKSckrIzm3lENZxexLM2a2H+fTxpnuQe24aUAwEQEehPu3JSKgLRd4uePg8MedSWxmLCsSV7DyyEpyy3PxcPZg2AXDGNJhCIOCBhHeLvy0qwULIZpPY+5YLgYmAXFKqViz7FngDqVUP4xHYUeA+wG01nuUUl8DezFGlD2stbYAKKWmA6swhht/prXeY7b3FLBQKfUqsAMjkYmmoLWxPH3ir8bryG/G0GCAgO5GB3yfW8+6ZH1ldQ07kvL4PSGbLYm5HM0pJaOo/MSyKGCspxXq24beIV7cPqgjPYLa0T2oHYHtXE+bEHLKcojPi2db+jaWJy4ntTgVFwcXLul4CVeHX82IkBG4Ov55pWAhhO0orVvXk6OoqCgdHR1t6zBaBkuVkUD2/Qj7f4JiY0FEfMKMzvfwSyBsxBlHc2mtic8o5reEbH47mMWWxFxKKy04KOgd7EXn9p6E+LjT0bfNifcO7dxwdPhzAimuLOZo0VES8hKIz4vnYN5B4vPiySnPAcBROTI0aChXR1zNZR0vw8PFo6n+VIQ4LymlYrTWUdZoS3oyzzdVZcZw4H3L4MByKM83dmWMvBIiRxsJxfv0AyDySyuJTc5nZ3IBscl57EwpODGbPcK/LTcPCGF4pD9DI/zwcv9z531JVQn7cvdwpPAIyYXJJBUlkVSUREpRCrnluSfquTi40NmnMyNCRtDFpwuRPpF09+0uG1sJ0UJIYmntqsogdTskbYSkzXB0E1SVGOtxdb0aul9njORy/mNZk7JKC0dyjFFZidklHMwoYmdKAYnZJYAxtzGyvQeXd2tPVJjPn5ZFKa8uZ0fmbhLyEzicf5jDBcbr+BLxAApFh7YdCPUM5dKOl9LRsyMdPTvS2aczoZ6hMnpLiBZM/vW2NkXpRiJJ3mwkkmM7wGKughPQHfrdAd2uMR5xOTpTXmVha+L/t3fmsXEd9x3//Ja7vPYiKR67PLWUbDmy5Sgyk6iG4chF4zo2YAcInBORWxcN0ANIjaaoi6Z/FQXSoijaogEKw3XgAEUDtAlQG0iTulVdB3GcmLYlWaYsiYckLg+RIvfkTe70jxlKK1pkvCypPfT7AIM3O++92ZnvzuOP8+Y3M7P87/kR3p9MMzI9x3hq8YYso+FaDnWEebKvk8OdDRzqDBOsvd4jSSwmOHH5Z7wz9Q5vT73NwMwAqznr2VXnrSMWjtHX1se+hn3EwjFioRidwU5d4VdRKhQ1LOVM5oo1HBMnYfykja+Pk3h8dm7J0d+xnlxdn7y2Llc8Mc+rb47z6rkpfjo4w8LKGjVeD3dFQxzt3UOs2U+sxU+s2c/ePX78NV5yJsfVhauMZi5xIh4nno0zmhllYGaAkdQIAD6Pj3ua7+H4weMcbjnMgaYDRPwRnc2uKLcZaljKicwkjPwELjrPrcRFd0Kg+U7o/ZQ1JtHD0H4YfHWs5QxD01lODiQ5NTrGL0ZmuTCVBaCrqY4n+zp56EArR3v3UFddxeLqIhfTFxlKvsOJK8MMnxtmJDVCPBtnaW3pWlE84iFSH2F/434e3/c4R1qPcHfz3eqhpSiKGpaSxRhIj8NYvzUmI6/ZiYkANWHY+4Bd0LHjCEQOQU0QYwzxxALvjqU49d5FTo4mOTOWYm55DYBgjZfD3Q184eNd3H9HCLxTDKWGOJl8he//ZIih5BBj2TEM1lOwSqro9yjR9QAACoNJREFUCnYRC8d4oOMBOoOddAW76Ax20u5v1wUaFUW5KepuXCrMz9qxkfG3rx+zbhEDnx96fsW5AD8IkXvBU8VUepHT8RSn40lOu+Xi1720qqs8fKQ9xKGOOqItGer8V8msxRlODTOYHCSejZMzds92r8fL3tBeu1FVeB+9Db30hnvpCfXoOIii3Caou3E5srIAiUt2aZTUZXtMjkJq1B6z1z2m7Guth2xvpP0Ia5F7GUmscHYizcDpNAM/eouzE2mmMvbVlEdy7IvkOHzHPHsasvhqZ0ivjTGSGubldJxcyhkQ8dId6uZA0wEe632MfQ372N+wn+5QNz6P9j4URdkZ1LDsFMbAQsIajMRFmB12YQQSI5DesMyZxwfhTmjogv2/Bs37yUU/xoT/Ls6nPFy4kuHC5Szn+7OcmzzB4soq4kviq5mhbc8cLT1JIjUzLDHNzNIEk2tLTC4BVz5oQHobetkf3k9PqEdfXymKsuuoYfllrK1YgzE/a48LszY+fzWvx3EZUnFYzt54r78VmnrtDPamXmiKMV/fwTjNjC4HGUstMZZcYDy5wMWTc1z4zwwLuRN4qq/iqb6KP5Cg3j9L051XmTNT5NwOAklgkVo6qzu5K9hLd+jYtXkgXcEuIv6IzgNRFKVo3L5/fdZW7BhGZhIyE/aYHnfxCUi7tPX1sm5GbYPtcTTtg95jdsZ6uIvVcA+jtDGYEgansgxNZxk8k2X4aobM8iXEdwqPL4n4knh9KerqM1QFElQHr1DFdc8rX1UtkVAXPcGDdIceoTvYTXeom+5gN631rbrYoqIoJUllGpb5WfvqKT1hj5n146Sd+5GZsD2OjXi8EIhAMAItzn3X32JX8XXB1DWx4A0xkwsSn69iPLlwrdcxNr5APJlkLNtPrmoGqZ7F45ultj6J1z+LBGYIsHrDV9ZW1RINRGkPdBELPUhPqIeeUA+xcIzW+ladA6IoStlReV5hHT7T/9v1G1IFAm3WYASjdlHFYNR+DkRYqW9jtmoPV9YCTGdXmM4s2ZBdYmZumcTcMjNziyQX0ySXkqyQxVOVRXwJ1/NIUF2bQnwJcjJ3wzcHfIFrLrqdgU6igShRf5SIP0LUHyVUHdKeh6IoRUe9wrbC38zKp79J2tfCtGcPk7km4qtBpuZyJOeXScyvkJxaJnVphdn5RVJLCebWLiHeLJ6qDOJNI94s4s3gq85S5Z3H+ObINc4Dhmog3wG3pqqW9kA7HYG9tPvvJxqI2vkeAWtMdOFERVFuNyrOsAxkg9zxcg94FvB4LyHeM4g3g8eXobY2i686g/hSmECSlWAKWMO/IY+AL0hLXQst9a001jbSUNNwLYRrwjTWNtJY20i7v52GmgbtcSiKouRRcYZFaiYIf+TPyG0YywCo9dbRVt9GW30brfV301rfSpu/jda6Vprrm2mus0GXJVEURdk+FWdYQjUBfuOe49eMRH4I+ALau1AURdllSt6wiMgjwN9hty1+3hjzra2u7wh08Mx9z9ySsimKoigfpKR9WUWkCvg28BngIPAlETlY3FIpiqIoW1HShgX4BDBojBk2xiwD3wOeKHKZFEVRlC0odcPSAYzmfY67NEVRFKVEKXXD8qEQka+JSL+I9E9PTxe7OIqiKLc1pW5YxoCuvM+dLu0GjDHPGWP6jDF9LS0tt6xwiqIoygcpdcPyJnCHiMREpBr4IvBSkcukKIqibEFJuxsbY1ZF5PeBH2PdjV8wxrxX5GIpiqIoW1DShgXAGPND4IfFLoeiKIry4ai41Y1FZBq4tMnpZuAm6+XfMsLAFhu83BKKrQGoDuuoDqrBOqWgwwFjTHAnMir5HkuhGGM2Hb0Xkf6dWhZ6O4jIc8aYrxXr+10ZiqqBK4PqgOrgvv+218CVoSR02Km8Sn3wvtJ4udgFKBFUB4vqoBqsU1E6qGG5hRhjKqrxbBfVwaI6qAbrVJoOt5thea7YBSgBVAOL6mBRHVSDdXZMh4obvFcURVGKy+3WY1EURVF2mbI2LCLygohMiciZvLSPisjPRORdEXlZREIu/SsicjIv5ETksDt3n7t+UET+XspsN7ACdfCJyIsu/ayI/EnePY+IyDmnw7PFqMt2KVCDahH5jks/JSLH8u4p97bQJSL/IyIDIvKeiHzdpTeJyCsicsEdG126uHoOishpETmSl9dT7voLIvJUsepUKNvQ4C7XTpZE5Bsb8irnZ6JQHb7i2sC7IvK6iHw0L6/CdDDGlG0AHgSOAGfy0t4EPuXiTwN/fpP7DgFDeZ9/ARwFBPgP4DPFrttu6QB8Gfiei9cDF4G92JUNhoBeoBo4BRwsdt12SYPfA77j4q3AW4CnQtpCFDji4kHgPHYvo78CnnXpzwJ/6eKPunqKq/fPXXoTMOyOjS7eWOz67ZIGrcDHgb8AvpGXT7k/E4XqcP/6b4zdA2u9LRSsQ1n3WIwxrwGzG5LvBF5z8VeAz93k1i9h93ZBRKJAyBjzhrEqfhf47O6UeHcoUAcD+EXEC9QBy0CaMt/7pkANDgIn3H1TQBLoq5C2MGGMedvFM8BZ7FYTTwAvuste5Hq9ngC+ayxvAA1Oh18HXjHGzBpjElj9HrmFVdk2hWpgjJkyxrwJrGzIqtyfiUJ1eN391gBvYBf9hW3oUNaGZRPe43qln+TG1ZHX+QLwLy7egd3nZZ1K2fNlMx3+DZgDJoDLwF8bY2apzL1vNtPgFPC4iHhFJAbc585VVFsQkb3Ax4CfA23GmAl3ahJoc/HNfveKaA8fUoPNqAgNYFs6/Ba2Jwvb0KESDcvTwO+KyFvY7t9y/kkR+SQwb4w5c7ObK4jNdPgEsAa0AzHgD0WktzhF3HU20+AF7MPRD/wt8DpWk4pBRALA94E/MMak88+53ljFu4OqBpZCdRCRh7CG5Y+3+52VuKTL+8DDACJyJ/DYhku+yPXeCtj9XTrzPt90z5dyYwsdvgz8yBizAkyJyE+BPux/JL9075tyYjMNjDGrwDPr14nI69j3zwkqoC2IiA/7h+SfjTE/cMlXRCRqjJlwr7qmXPpmex6NAcc2pL+6m+XeSQrUYDM+1H5QpUyhOojIvcDz2LHFGZdcsA4V12MRkVZ39ADfBP4x75wH+DxufAXse0ggLSJHnQfQceDfb2mhd4EtdLgM/Ko758cO2L5PBe59s5kGIlLv6o6IfBpYNcYMVEJbcOX+J+CsMeZv8k69BKx7dj3F9Xq9BBx33mFHgZTT4cfAwyLS6LyGHnZpJc82NNiMsn4mCtVBRLqBHwBfNcacz7u+cB2K7bnw/wnYnscEdtAtju2+fR373+d54Fu4SaDu+mPAGzfJpw84g/V8+If8e8ohFKIDEAD+FTv+MAD8UV4+j7rrh4A/LXa9dlGDvcA57GDmfwE9FdQWHsC+2jgNnHThUWAP8N/ABVfnJne9AN929X0X6MvL62lg0IXfLHbddlGDiGszaawjRxzrxFHuz0ShOjyP7bWvX9ufl1dBOujMe0VRFGVHqbhXYYqiKEpxUcOiKIqi7ChqWBRFUZQdRQ2LoiiKsqOoYVEURVF2FDUsiqIoyo6ihkVRFEXZUdSwKIqiKDvK/wES51af1N4SZgAAAABJRU5ErkJggg==\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "" ], "metadata": { "id": "WZgA167hu2oF" }, "execution_count": null, "outputs": [] } ] }