{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Trends and cycles in unemployment\n", "\n", "Here we consider three methods for separating a trend and cycle in economic data. Supposing we have a time series $y_t$, the basic idea is to decompose it into these two components:\n", "\n", "$$\n", "y_t = \\mu_t + \\eta_t\n", "$$\n", "\n", "where $\\mu_t$ represents the trend or level and $\\eta_t$ represents the cyclical component. In this case, we consider a *stochastic* trend, so that $\\mu_t$ is a random variable and not a deterministic function of time. Two of methods fall under the heading of \"unobserved components\" models, and the third is the popular Hodrick-Prescott (HP) filter. Consistent with e.g. Harvey and Jaeger (1993), we find that these models all produce similar decompositions.\n", "\n", "This notebook demonstrates applying these models to separate trend from cycle in the U.S. unemployment rate." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:31.998118Z", "iopub.status.busy": "2021-02-02T06:51:31.997462Z", "iopub.status.idle": "2021-02-02T06:51:32.233847Z", "shell.execute_reply": "2021-02-02T06:51:32.234227Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:32.239244Z", "iopub.status.busy": "2021-02-02T06:51:32.238463Z", "iopub.status.idle": "2021-02-02T06:51:33.028441Z", "shell.execute_reply": "2021-02-02T06:51:33.028809Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:33.034035Z", "iopub.status.busy": "2021-02-02T06:51:33.032802Z", "iopub.status.idle": "2021-02-02T06:51:33.443515Z", "shell.execute_reply": "2021-02-02T06:51:33.444102Z" } }, "outputs": [], "source": [ "from pandas_datareader.data import DataReader\n", "endog = DataReader('UNRATE', 'fred', start='1954-01-01')\n", "endog.index.freq = endog.index.inferred_freq" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hodrick-Prescott (HP) filter\n", "\n", "The first method is the Hodrick-Prescott filter, which can be applied to a data series in a very straightforward method. Here we specify the parameter $\\lambda=129600$ because the unemployment rate is observed monthly." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:33.447456Z", "iopub.status.busy": "2021-02-02T06:51:33.446760Z", "iopub.status.idle": "2021-02-02T06:51:33.454693Z", "shell.execute_reply": "2021-02-02T06:51:33.455121Z" } }, "outputs": [], "source": [ "hp_cycle, hp_trend = sm.tsa.filters.hpfilter(endog, lamb=129600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Unobserved components and ARIMA model (UC-ARIMA)\n", "\n", "The next method is an unobserved components model, where the trend is modeled as a random walk and the cycle is modeled with an ARIMA model - in particular, here we use an AR(4) model. The process for the time series can be written as:\n", "\n", "$$\n", "\\begin{align}\n", "y_t & = \\mu_t + \\eta_t \\\\\n", "\\mu_{t+1} & = \\mu_t + \\epsilon_{t+1} \\\\\n", "\\phi(L) \\eta_t & = \\nu_t\n", "\\end{align}\n", "$$\n", "\n", "where $\\phi(L)$ is the AR(4) lag polynomial and $\\epsilon_t$ and $\\nu_t$ are white noise." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:33.457960Z", "iopub.status.busy": "2021-02-02T06:51:33.457274Z", "iopub.status.idle": "2021-02-02T06:51:34.654373Z", "shell.execute_reply": "2021-02-02T06:51:34.655161Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "==============================================================================\n", "Dep. Variable: UNRATE No. Observations: 804\n", "Model: random walk Log Likelihood -459.536\n", " + AR(4) AIC 931.072\n", "Date: Tue, 02 Feb 2021 BIC 959.202\n", "Time: 06:51:34 HQIC 941.876\n", "Sample: 01-01-1954 \n", " - 12-01-2020 \n", "Covariance Type: opg \n", "================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "--------------------------------------------------------------------------------\n", "sigma2.level 0.0906 0.161 0.564 0.573 -0.224 0.405\n", "sigma2.ar 0.0890 0.164 0.541 0.588 -0.233 0.411\n", "ar.L1 1.0672 0.123 8.701 0.000 0.827 1.308\n", "ar.L2 -0.2113 0.397 -0.532 0.595 -0.990 0.567\n", "ar.L3 0.0904 0.216 0.419 0.675 -0.332 0.513\n", "ar.L4 -0.0082 0.081 -0.101 0.919 -0.166 0.150\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 0.01 Jarque-Bera (JB): 5940381.74\n", "Prob(Q): 0.94 Prob(JB): 0.00\n", "Heteroskedasticity (H): 9.45 Skew: 17.27\n", "Prob(H) (two-sided): 0.00 Kurtosis: 422.94\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] } ], "source": [ "mod_ucarima = sm.tsa.UnobservedComponents(endog, 'rwalk', autoregressive=4)\n", "# Here the powell method is used, since it achieves a\n", "# higher loglikelihood than the default L-BFGS method\n", "res_ucarima = mod_ucarima.fit(method='powell', disp=False)\n", "print(res_ucarima.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Unobserved components with stochastic cycle (UC)\n", "\n", "The final method is also an unobserved components model, but where the cycle is modeled explicitly.\n", "\n", "$$\n", "\\begin{align}\n", "y_t & = \\mu_t + \\eta_t \\\\\n", "\\mu_{t+1} & = \\mu_t + \\epsilon_{t+1} \\\\\n", "\\eta_{t+1} & = \\eta_t \\cos \\lambda_\\eta + \\eta_t^* \\sin \\lambda_\\eta + \\tilde \\omega_t \\qquad & \\tilde \\omega_t \\sim N(0, \\sigma_{\\tilde \\omega}^2) \\\\\n", "\\eta_{t+1}^* & = -\\eta_t \\sin \\lambda_\\eta + \\eta_t^* \\cos \\lambda_\\eta + \\tilde \\omega_t^* & \\tilde \\omega_t^* \\sim N(0, \\sigma_{\\tilde \\omega}^2)\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:34.662540Z", "iopub.status.busy": "2021-02-02T06:51:34.661777Z", "iopub.status.idle": "2021-02-02T06:51:35.792190Z", "shell.execute_reply": "2021-02-02T06:51:35.793214Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "=====================================================================================\n", "Dep. Variable: UNRATE No. Observations: 804\n", "Model: random walk Log Likelihood -461.513\n", " + damped stochastic cycle AIC 931.027\n", "Date: Tue, 02 Feb 2021 BIC 949.770\n", "Time: 06:51:35 HQIC 938.227\n", "Sample: 01-01-1954 \n", " - 12-01-2020 \n", "Covariance Type: opg \n", "===================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "-----------------------------------------------------------------------------------\n", "sigma2.level 0.1262 0.026 4.867 0.000 0.075 0.177\n", "sigma2.cycle 0.0435 0.025 1.772 0.076 -0.005 0.092\n", "frequency.cycle 0.3491 0.150 2.326 0.020 0.055 0.643\n", "damping.cycle 0.7870 0.048 16.377 0.000 0.693 0.881\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 1.38 Jarque-Bera (JB): 6086584.12\n", "Prob(Q): 0.24 Prob(JB): 0.00\n", "Heteroskedasticity (H): 9.22 Skew: 17.51\n", "Prob(H) (two-sided): 0.00 Kurtosis: 428.61\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] } ], "source": [ "mod_uc = sm.tsa.UnobservedComponents(\n", " endog, 'rwalk',\n", " cycle=True, stochastic_cycle=True, damped_cycle=True,\n", ")\n", "# Here the powell method gets close to the optimum\n", "res_uc = mod_uc.fit(method='powell', disp=False)\n", "# but to get to the highest loglikelihood we do a\n", "# second round using the L-BFGS method.\n", "res_uc = mod_uc.fit(res_uc.params, disp=False)\n", "print(res_uc.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graphical comparison\n", "\n", "The output of each of these models is an estimate of the trend component $\\mu_t$ and an estimate of the cyclical component $\\eta_t$. Qualitatively the estimates of trend and cycle are very similar, although the trend component from the HP filter is somewhat more variable than those from the unobserved components models. This means that relatively mode of the movement in the unemployment rate is attributed to changes in the underlying trend rather than to temporary cyclical movements." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:35.812011Z", "iopub.status.busy": "2021-02-02T06:51:35.802076Z", "iopub.status.idle": "2021-02-02T06:51:36.190825Z", "shell.execute_reply": "2021-02-02T06:51:36.189742Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, figsize=(13,5));\n", "axes[0].set(title='Level/trend component')\n", "axes[0].plot(endog.index, res_uc.level.smoothed, label='UC')\n", "axes[0].plot(endog.index, res_ucarima.level.smoothed, label='UC-ARIMA(2,0)')\n", "axes[0].plot(hp_trend, label='HP Filter')\n", "axes[0].legend(loc='upper left')\n", "axes[0].grid()\n", "\n", "axes[1].set(title='Cycle component')\n", "axes[1].plot(endog.index, res_uc.cycle.smoothed, label='UC')\n", "axes[1].plot(endog.index, res_ucarima.autoregressive.smoothed, label='UC-ARIMA(2,0)')\n", "axes[1].plot(hp_cycle, label='HP Filter')\n", "axes[1].legend(loc='upper left')\n", "axes[1].grid()\n", "\n", "fig.tight_layout();" ] } ], "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 }