{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Filters" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:53.132508Z", "iopub.status.busy": "2022-11-02T17:10:53.129660Z", "iopub.status.idle": "2022-11-02T17:10:53.627286Z", "shell.execute_reply": "2022-11-02T17:10:53.626584Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:53.631248Z", "iopub.status.busy": "2022-11-02T17:10:53.630673Z", "iopub.status.idle": "2022-11-02T17:10:54.408680Z", "shell.execute_reply": "2022-11-02T17:10:54.407964Z" } }, "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": "2022-11-02T17:10:54.412942Z", "iopub.status.busy": "2022-11-02T17:10:54.412559Z", "iopub.status.idle": "2022-11-02T17:10:54.421219Z", "shell.execute_reply": "2022-11-02T17:10:54.420494Z" } }, "outputs": [], "source": [ "dta = sm.datasets.macrodata.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:54.424808Z", "iopub.status.busy": "2022-11-02T17:10:54.424560Z", "iopub.status.idle": "2022-11-02T17:10:54.433376Z", "shell.execute_reply": "2022-11-02T17:10:54.432761Z" } }, "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": "2022-11-02T17:10:54.437778Z", "iopub.status.busy": "2022-11-02T17:10:54.436661Z", "iopub.status.idle": "2022-11-02T17:10:54.441829Z", "shell.execute_reply": "2022-11-02T17:10:54.441280Z" } }, "outputs": [], "source": [ "dta.index = index\n", "del dta[\"year\"]\n", "del dta[\"quarter\"]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:54.446234Z", "iopub.status.busy": "2022-11-02T17:10:54.445096Z", "iopub.status.idle": "2022-11-02T17:10:54.451047Z", "shell.execute_reply": "2022-11-02T17:10:54.450473Z" } }, "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": "2022-11-02T17:10:54.455316Z", "iopub.status.busy": "2022-11-02T17:10:54.454220Z", "iopub.status.idle": "2022-11-02T17:10:54.467431Z", "shell.execute_reply": "2022-11-02T17:10:54.466806Z" } }, "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": "2022-11-02T17:10:54.471087Z", "iopub.status.busy": "2022-11-02T17:10:54.470466Z", "iopub.status.idle": "2022-11-02T17:10:54.657372Z", "shell.execute_reply": "2022-11-02T17:10:54.656641Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:54.661011Z", "iopub.status.busy": "2022-11-02T17:10:54.660592Z", "iopub.status.idle": "2022-11-02T17:10:54.668505Z", "shell.execute_reply": "2022-11-02T17:10:54.667886Z" } }, "outputs": [], "source": [ "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(dta.realgdp)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:54.671459Z", "iopub.status.busy": "2022-11-02T17:10:54.671073Z", "iopub.status.idle": "2022-11-02T17:10:54.677523Z", "shell.execute_reply": "2022-11-02T17:10:54.676909Z" } }, "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": "2022-11-02T17:10:54.680448Z", "iopub.status.busy": "2022-11-02T17:10:54.680215Z", "iopub.status.idle": "2022-11-02T17:10:55.015522Z", "shell.execute_reply": "2022-11-02T17:10:55.014835Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:55.020338Z", "iopub.status.busy": "2022-11-02T17:10:55.019572Z", "iopub.status.idle": "2022-11-02T17:10:55.026250Z", "shell.execute_reply": "2022-11-02T17:10:55.025674Z" } }, "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": "2022-11-02T17:10:55.029736Z", "iopub.status.busy": "2022-11-02T17:10:55.029261Z", "iopub.status.idle": "2022-11-02T17:10:55.381899Z", "shell.execute_reply": "2022-11-02T17:10:55.381218Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:55.387489Z", "iopub.status.busy": "2022-11-02T17:10:55.386166Z", "iopub.status.idle": "2022-11-02T17:10:55.400144Z", "shell.execute_reply": "2022-11-02T17:10:55.399364Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-2.5364584673346373, 0.10685366457233453, 9)\n" ] } ], "source": [ "print(sm.tsa.stattools.adfuller(dta[\"unemp\"])[:3])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:55.404210Z", "iopub.status.busy": "2022-11-02T17:10:55.403698Z", "iopub.status.idle": "2022-11-02T17:10:55.416878Z", "shell.execute_reply": "2022-11-02T17:10:55.416298Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-3.054514496257237, 0.030107620863485812, 2)\n" ] } ], "source": [ "print(sm.tsa.stattools.adfuller(dta[\"infl\"])[:3])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:55.420724Z", "iopub.status.busy": "2022-11-02T17:10:55.420228Z", "iopub.status.idle": "2022-11-02T17:10:55.437607Z", "shell.execute_reply": "2022-11-02T17:10:55.437032Z" } }, "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": "2022-11-02T17:10:55.443114Z", "iopub.status.busy": "2022-11-02T17:10:55.440916Z", "iopub.status.idle": "2022-11-02T17:10:55.668283Z", "shell.execute_reply": "2022-11-02T17:10:55.667630Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }