{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Filters" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "execution": { "iopub.execute_input": "2021-02-02T06:53:56.644241Z", "iopub.status.busy": "2021-02-02T06:53:56.642959Z", "iopub.status.idle": "2021-02-02T06:53:57.005289Z", "shell.execute_reply": "2021-02-02T06:53:57.006042Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:57.010737Z", "iopub.status.busy": "2021-02-02T06:53:57.009980Z", "iopub.status.idle": "2021-02-02T06:53:57.736489Z", "shell.execute_reply": "2021-02-02T06:53:57.736857Z" } }, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "import statsmodels.api as sm" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:57.742148Z", "iopub.status.busy": "2021-02-02T06:53:57.741398Z", "iopub.status.idle": "2021-02-02T06:53:57.748432Z", "shell.execute_reply": "2021-02-02T06:53:57.747768Z" } }, "outputs": [], "source": [ "dta = sm.datasets.macrodata.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:57.756097Z", "iopub.status.busy": "2021-02-02T06:53:57.755622Z", "iopub.status.idle": "2021-02-02T06:53:57.759617Z", "shell.execute_reply": "2021-02-02T06:53:57.759234Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DatetimeIndex(['1959-03-31', '1959-06-30', '1959-09-30', '1959-12-31',\n", " '1960-03-31', '1960-06-30', '1960-09-30', '1960-12-31',\n", " '1961-03-31', '1961-06-30',\n", " ...\n", " '2007-06-30', '2007-09-30', '2007-12-31', '2008-03-31',\n", " '2008-06-30', '2008-09-30', '2008-12-31', '2009-03-31',\n", " '2009-06-30', '2009-09-30'],\n", " dtype='datetime64[ns]', length=203, freq=None)\n" ] } ], "source": [ "index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n", "print(index)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:57.765016Z", "iopub.status.busy": "2021-02-02T06:53:57.763979Z", "iopub.status.idle": "2021-02-02T06:53:57.766314Z", "shell.execute_reply": "2021-02-02T06:53:57.765954Z" } }, "outputs": [], "source": [ "dta.index = index\n", "del dta['year']\n", "del dta['quarter']" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:57.770726Z", "iopub.status.busy": "2021-02-02T06:53:57.769751Z", "iopub.status.idle": "2021-02-02T06:53:57.772333Z", "shell.execute_reply": "2021-02-02T06:53:57.772679Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "::\n", " Number of Observations - 203\n", "\n", " Number of Variables - 14\n", "\n", " Variable name definitions::\n", "\n", " year - 1959q1 - 2009q3\n", " quarter - 1-4\n", " realgdp - Real gross domestic product (Bil. of chained 2005 US$,\n", " seasonally adjusted annual rate)\n", " realcons - Real personal consumption expenditures (Bil. of chained\n", " 2005 US$, seasonally adjusted annual rate)\n", " realinv - Real gross private domestic investment (Bil. of chained\n", " 2005 US$, seasonally adjusted annual rate)\n", " realgovt - Real federal consumption expenditures & gross investment\n", " (Bil. of chained 2005 US$, seasonally adjusted annual rate)\n", " realdpi - Real private disposable income (Bil. of chained 2005\n", " US$, seasonally adjusted annual rate)\n", " cpi - End of the quarter consumer price index for all urban\n", " consumers: all items (1982-84 = 100, seasonally adjusted).\n", " m1 - End of the quarter M1 nominal money stock (Seasonally\n", " adjusted)\n", " tbilrate - Quarterly monthly average of the monthly 3-month\n", " treasury bill: secondary market rate\n", " unemp - Seasonally adjusted unemployment rate (%)\n", " pop - End of the quarter total population: all ages incl. armed\n", " forces over seas\n", " infl - Inflation rate (ln(cpi_{t}/cpi_{t-1}) * 400)\n", " realint - Real interest rate (tbilrate - infl)\n", "\n" ] } ], "source": [ "print(sm.datasets.macrodata.NOTE)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:57.784860Z", "iopub.status.busy": "2021-02-02T06:53:57.775707Z", "iopub.status.idle": "2021-02-02T06:53:57.787205Z", "shell.execute_reply": "2021-02-02T06:53:57.786866Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " realgdp realcons realinv realgovt realdpi cpi m1 \\\n", "1959-03-31 2710.349 1707.4 286.898 470.045 1886.9 28.98 139.7 \n", "1959-06-30 2778.801 1733.7 310.859 481.301 1919.7 29.15 141.7 \n", "1959-09-30 2775.488 1751.8 289.226 491.260 1916.4 29.35 140.5 \n", "1959-12-31 2785.204 1753.7 299.356 484.052 1931.3 29.37 140.0 \n", "1960-03-31 2847.699 1770.5 331.722 462.199 1955.5 29.54 139.6 \n", "1960-06-30 2834.390 1792.9 298.152 460.400 1966.1 29.55 140.2 \n", "1960-09-30 2839.022 1785.8 296.375 474.676 1967.8 29.75 140.9 \n", "1960-12-31 2802.616 1788.2 259.764 476.434 1966.6 29.84 141.1 \n", "1961-03-31 2819.264 1787.7 266.405 475.854 1984.5 29.81 142.1 \n", "1961-06-30 2872.005 1814.3 286.246 480.328 2014.4 29.92 142.9 \n", "\n", " tbilrate unemp pop infl realint \n", "1959-03-31 2.82 5.8 177.146 0.00 0.00 \n", "1959-06-30 3.08 5.1 177.830 2.34 0.74 \n", "1959-09-30 3.82 5.3 178.657 2.74 1.09 \n", "1959-12-31 4.33 5.6 179.386 0.27 4.06 \n", "1960-03-31 3.50 5.2 180.007 2.31 1.19 \n", "1960-06-30 2.68 5.2 180.671 0.14 2.55 \n", "1960-09-30 2.36 5.6 181.528 2.70 -0.34 \n", "1960-12-31 2.29 6.3 182.287 1.21 1.08 \n", "1961-03-31 2.37 6.8 182.992 -0.40 2.77 \n", "1961-06-30 2.29 7.0 183.691 1.47 0.81 \n" ] } ], "source": [ "print(dta.head(10))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:57.801923Z", "iopub.status.busy": "2021-02-02T06:53:57.801431Z", "iopub.status.idle": "2021-02-02T06:53:58.091804Z", "shell.execute_reply": "2021-02-02T06:53:58.092189Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "dta.realgdp.plot(ax=ax);\n", "legend = ax.legend(loc = 'upper left');\n", "legend.prop.set_size(20);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hodrick-Prescott Filter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Hodrick-Prescott filter separates a time-series $y_t$ into a trend $\\tau_t$ and a cyclical component $\\zeta_t$ \n", "\n", "$$y_t = \\tau_t + \\zeta_t$$\n", "\n", "The components are determined by minimizing the following quadratic loss function\n", "\n", "$$\\min_{\\\\{ \\tau_{t}\\\\} }\\sum_{t}^{T}\\zeta_{t}^{2}+\\lambda\\sum_{t=1}^{T}\\left[\\left(\\tau_{t}-\\tau_{t-1}\\right)-\\left(\\tau_{t-1}-\\tau_{t-2}\\right)\\right]^{2}$$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:58.097812Z", "iopub.status.busy": "2021-02-02T06:53:58.096452Z", "iopub.status.idle": "2021-02-02T06:53:58.101990Z", "shell.execute_reply": "2021-02-02T06:53:58.102421Z" } }, "outputs": [], "source": [ "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(dta.realgdp)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:58.105198Z", "iopub.status.busy": "2021-02-02T06:53:58.104529Z", "iopub.status.idle": "2021-02-02T06:53:58.111994Z", "shell.execute_reply": "2021-02-02T06:53:58.112425Z" } }, "outputs": [], "source": [ "gdp_decomp = dta[['realgdp']].copy()\n", "gdp_decomp[\"cycle\"] = gdp_cycle\n", "gdp_decomp[\"trend\"] = gdp_trend" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:58.115154Z", "iopub.status.busy": "2021-02-02T06:53:58.114475Z", "iopub.status.idle": "2021-02-02T06:53:58.545700Z", "shell.execute_reply": "2021-02-02T06:53:58.546167Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "gdp_decomp[[\"realgdp\", \"trend\"]][\"2000-03-31\":].plot(ax=ax, fontsize=16);\n", "legend = ax.get_legend()\n", "legend.prop.set_size(20);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Baxter-King approximate band-pass filter: Inflation and Unemployment" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Explore the hypothesis that inflation and unemployment are counter-cyclical." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Baxter-King filter is intended to explicitly deal with the periodicity of the business cycle. By applying their band-pass filter to a series, they produce a new series that does not contain fluctuations at higher or lower than those of the business cycle. Specifically, the BK filter takes the form of a symmetric moving average \n", "\n", "$$y_{t}^{*}=\\sum_{k=-K}^{k=K}a_ky_{t-k}$$\n", "\n", "where $a_{-k}=a_k$ and $\\sum_{k=-k}^{K}a_k=0$ to eliminate any trend in the series and render it stationary if the series is I(1) or I(2).\n", "\n", "For completeness, the filter weights are determined as follows\n", "\n", "$$a_{j} = B_{j}+\\theta\\text{ for }j=0,\\pm1,\\pm2,\\dots,\\pm K$$\n", "\n", "$$B_{0} = \\frac{\\left(\\omega_{2}-\\omega_{1}\\right)}{\\pi}$$\n", "$$B_{j} = \\frac{1}{\\pi j}\\left(\\sin\\left(\\omega_{2}j\\right)-\\sin\\left(\\omega_{1}j\\right)\\right)\\text{ for }j=0,\\pm1,\\pm2,\\dots,\\pm K$$\n", "\n", "where $\\theta$ is a normalizing constant such that the weights sum to zero.\n", "\n", "$$\\theta=\\frac{-\\sum_{j=-K^{K}b_{j}}}{2K+1}$$\n", "\n", "$$\\omega_{1}=\\frac{2\\pi}{P_{H}}$$\n", "\n", "$$\\omega_{2}=\\frac{2\\pi}{P_{L}}$$\n", "\n", "$P_L$ and $P_H$ are the periodicity of the low and high cut-off frequencies. Following Burns and Mitchell's work on US business cycles which suggests cycles last from 1.5 to 8 years, we use $P_L=6$ and $P_H=32$ by default." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:58.549495Z", "iopub.status.busy": "2021-02-02T06:53:58.548759Z", "iopub.status.idle": "2021-02-02T06:53:58.555017Z", "shell.execute_reply": "2021-02-02T06:53:58.555475Z" } }, "outputs": [], "source": [ "bk_cycles = sm.tsa.filters.bkfilter(dta[[\"infl\",\"unemp\"]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* We lose K observations on both ends. It is suggested to use K=12 for quarterly data." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:58.558705Z", "iopub.status.busy": "2021-02-02T06:53:58.557980Z", "iopub.status.idle": "2021-02-02T06:53:59.063971Z", "shell.execute_reply": "2021-02-02T06:53:59.063263Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,10))\n", "ax = fig.add_subplot(111)\n", "bk_cycles.plot(ax=ax, style=['r--', 'b-']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Christiano-Fitzgerald approximate band-pass filter: Inflation and Unemployment" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Christiano-Fitzgerald filter is a generalization of BK and can thus also be seen as weighted moving average. However, the CF filter is asymmetric about $t$ as well as using the entire series. The implementation of their filter involves the\n", "calculations of the weights in\n", "\n", "$$y_{t}^{*}=B_{0}y_{t}+B_{1}y_{t+1}+\\dots+B_{T-1-t}y_{T-1}+\\tilde B_{T-t}y_{T}+B_{1}y_{t-1}+\\dots+B_{t-2}y_{2}+\\tilde B_{t-1}y_{1}$$\n", "\n", "for $t=3,4,...,T-2$, where\n", "\n", "$$B_{j} = \\frac{\\sin(jb)-\\sin(ja)}{\\pi j},j\\geq1$$\n", "\n", "$$B_{0} = \\frac{b-a}{\\pi},a=\\frac{2\\pi}{P_{u}},b=\\frac{2\\pi}{P_{L}}$$\n", "\n", "$\\tilde B_{T-t}$ and $\\tilde B_{t-1}$ are linear functions of the $B_{j}$'s, and the values for $t=1,2,T-1,$ and $T$ are also calculated in much the same way. $P_{U}$ and $P_{L}$ are as described above with the same interpretation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CF filter is appropriate for series that may follow a random walk." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:59.077429Z", "iopub.status.busy": "2021-02-02T06:53:59.076647Z", "iopub.status.idle": "2021-02-02T06:53:59.091291Z", "shell.execute_reply": "2021-02-02T06:53:59.092290Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-2.536458467334635, 0.10685366457233503, 9)\n" ] } ], "source": [ "print(sm.tsa.stattools.adfuller(dta['unemp'])[:3])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:59.096663Z", "iopub.status.busy": "2021-02-02T06:53:59.095301Z", "iopub.status.idle": "2021-02-02T06:53:59.117113Z", "shell.execute_reply": "2021-02-02T06:53:59.117702Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-3.0545144962572355, 0.030107620863485937, 2)\n" ] } ], "source": [ "print(sm.tsa.stattools.adfuller(dta['infl'])[:3])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:59.121958Z", "iopub.status.busy": "2021-02-02T06:53:59.120593Z", "iopub.status.idle": "2021-02-02T06:53:59.152206Z", "shell.execute_reply": "2021-02-02T06:53:59.153094Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " infl_cycle unemp_cycle\n", "1959-03-31 0.237927 -0.216867\n", "1959-06-30 0.770007 -0.343779\n", "1959-09-30 1.177736 -0.511024\n", "1959-12-31 1.256754 -0.686967\n", "1960-03-31 0.972128 -0.770793\n", "1960-06-30 0.491889 -0.640601\n", "1960-09-30 0.070189 -0.249741\n", "1960-12-31 -0.130432 0.301545\n", "1961-03-31 -0.134155 0.788992\n", "1961-06-30 -0.092073 0.985356\n" ] } ], "source": [ "cf_cycles, cf_trend = sm.tsa.filters.cffilter(dta[[\"infl\",\"unemp\"]])\n", "print(cf_cycles.head(10))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:53:59.157210Z", "iopub.status.busy": "2021-02-02T06:53:59.155966Z", "iopub.status.idle": "2021-02-02T06:53:59.440720Z", "shell.execute_reply": "2021-02-02T06:53:59.441598Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14,10))\n", "ax = fig.add_subplot(111)\n", "cf_cycles.plot(ax=ax, style=['r--','b-']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Filtering assumes *a priori* that business cycles exist. Due to this assumption, many macroeconomic models seek to create models that match the shape of impulse response functions rather than replicating properties of filtered series. See VAR notebook." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 1 }