{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Filters" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "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": {}, "outputs": [], "source": [ "dta = sm.datasets.macrodata.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "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": {}, "outputs": [], "source": [ "dta.index = index\n", "del dta['year']\n", "del dta['quarter']" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "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": {}, "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": {}, "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": {}, "outputs": [], "source": [ "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(dta.realgdp)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "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": {}, "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": {}, "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": {}, "outputs": [ { "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-2.5364584673346355, 0.10685366457233492, 9)\n" ] } ], "source": [ "print(sm.tsa.stattools.adfuller(dta['unemp'])[:3])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-3.0545144962572377, 0.030107620863485774, 2)\n" ] } ], "source": [ "print(sm.tsa.stattools.adfuller(dta['infl'])[:3])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "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": {}, "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=(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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 }