{ "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": "2026-07-29T17:38:30.353440Z", "iopub.status.busy": "2026-07-29T17:38:30.353248Z", "iopub.status.idle": "2026-07-29T17:38:31.276044Z", "shell.execute_reply": "2026-07-29T17:38:31.274979Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-29T17:38:31.278498Z", "iopub.status.busy": "2026-07-29T17:38:31.277881Z", "iopub.status.idle": "2026-07-29T17:38:33.033303Z", "shell.execute_reply": "2026-07-29T17:38:33.032193Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "\n", "import statsmodels.api as sm" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-07-29T17:38:33.036409Z", "iopub.status.busy": "2026-07-29T17:38:33.035922Z", "iopub.status.idle": "2026-07-29T17:38:33.304608Z", "shell.execute_reply": "2026-07-29T17:38:33.302098Z" } }, "outputs": [], "source": [ "from pandas_datareader.data import DataReader\n", "\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": "2026-07-29T17:38:33.307383Z", "iopub.status.busy": "2026-07-29T17:38:33.307095Z", "iopub.status.idle": "2026-07-29T17:38:33.319480Z", "shell.execute_reply": "2026-07-29T17:38:33.315032Z" } }, "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": "2026-07-29T17:38:33.321678Z", "iopub.status.busy": "2026-07-29T17:38:33.321453Z", "iopub.status.idle": "2026-07-29T17:38:40.656340Z", "shell.execute_reply": "2026-07-29T17:38:40.655321Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "==============================================================================\n", "Dep. Variable: UNRATE No. Observations: 870\n", "Model: random walk Log Likelihood -464.940\n", " + AR(4) AIC 941.879\n", "Date: Wed, 29 Jul 2026 BIC 970.484\n", "Time: 17:38:40 HQIC 952.825\n", "Sample: 01-01-1954 \n", " - 06-01-2026 \n", "Covariance Type: opg \n", "================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "--------------------------------------------------------------------------------\n", "sigma2.level 3.463e-05 0.012 0.003 0.998 -0.024 0.024\n", "sigma2.ar 0.1718 0.016 10.688 0.000 0.140 0.203\n", "ar.L1 1.0250 0.019 54.140 0.000 0.988 1.062\n", "ar.L2 -0.1043 0.016 -6.467 0.000 -0.136 -0.073\n", "ar.L3 0.0730 0.023 3.138 0.002 0.027 0.119\n", "ar.L4 -0.0237 0.019 -1.258 0.208 -0.061 0.013\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 7215913.08\n", "Prob(Q): 0.96 Prob(JB): 0.00\n", "Heteroskedasticity (H): 8.98 Skew: 17.71\n", "Prob(H) (two-sided): 0.00 Kurtosis: 448.01\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": "2026-07-29T17:38:40.659425Z", "iopub.status.busy": "2026-07-29T17:38:40.659125Z", "iopub.status.idle": "2026-07-29T17:38:41.768533Z", "shell.execute_reply": "2026-07-29T17:38:41.767488Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unobserved Components Results \n", "=====================================================================================\n", "Dep. Variable: UNRATE No. Observations: 870\n", "Model: random walk Log Likelihood -471.775\n", " + damped stochastic cycle AIC 951.550\n", "Date: Wed, 29 Jul 2026 BIC 970.610\n", "Time: 17:38:41 HQIC 958.844\n", "Sample: 01-01-1954 \n", " - 06-01-2026 \n", "Covariance Type: opg \n", "===================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "-----------------------------------------------------------------------------------\n", "sigma2.level 0.1366 0.020 6.964 0.000 0.098 0.175\n", "sigma2.cycle 0.0275 0.019 1.474 0.141 -0.009 0.064\n", "frequency.cycle 0.3491 0.204 1.708 0.088 -0.052 0.750\n", "damping.cycle 0.7585 0.072 10.604 0.000 0.618 0.899\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 1.55 Jarque-Bera (JB): 7342101.07\n", "Prob(Q): 0.21 Prob(JB): 0.00\n", "Heteroskedasticity (H): 9.09 Skew: 17.83\n", "Prob(H) (two-sided): 0.00 Kurtosis: 452.41\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.14.6/x64/lib/python3.14/site-packages/statsmodels/tsa/statespace/mlemodel.py:736: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n", " mlefit = super().fit(\n" ] } ], "source": [ "mod_uc = sm.tsa.UnobservedComponents(\n", " endog,\n", " \"rwalk\",\n", " cycle=True,\n", " stochastic_cycle=True,\n", " 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": "2026-07-29T17:38:41.775894Z", "iopub.status.busy": "2026-07-29T17:38:41.775584Z", "iopub.status.idle": "2026-07-29T17:38:42.466361Z", "shell.execute_reply": "2026-07-29T17:38:42.464707Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "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 (ipykernel)", "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }