{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov switching autoregression models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook provides an example of the use of Markov switching models in statsmodels to replicate a number of results presented in Kim and Nelson (1999). It applies the Hamilton (1989) filter the Kim (1994) smoother.\n", "\n", "This is tested against the Markov-switching models from E-views 8, which can be found at http://www.eviews.com/EViews8/ev8ecswitch_n.html#MarkovAR or the Markov-switching models of Stata 14 which can be found at http://www.stata.com/manuals14/tsmswitch.pdf." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:13.794058Z", "iopub.status.busy": "2021-02-02T06:52:13.793142Z", "iopub.status.idle": "2021-02-02T06:52:16.162809Z", "shell.execute_reply": "2021-02-02T06:52:16.163999Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "import requests\n", "from io import BytesIO\n", "\n", "# NBER recessions\n", "from pandas_datareader.data import DataReader\n", "from datetime import datetime\n", "usrec = DataReader('USREC', 'fred', start=datetime(1947, 1, 1), end=datetime(2013, 4, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hamilton (1989) switching model of GNP\n", "\n", "This replicates Hamilton's (1989) seminal paper introducing Markov-switching models. The model is an autoregressive model of order 4 in which the mean of the process switches between two regimes. It can be written:\n", "\n", "$$\n", "y_t = \\mu_{S_t} + \\phi_1 (y_{t-1} - \\mu_{S_{t-1}}) + \\phi_2 (y_{t-2} - \\mu_{S_{t-2}}) + \\phi_3 (y_{t-3} - \\mu_{S_{t-3}}) + \\phi_4 (y_{t-4} - \\mu_{S_{t-4}}) + \\varepsilon_t\n", "$$\n", "\n", "Each period, the regime transitions according to the following matrix of transition probabilities:\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00} & p_{10} \\\\\n", "p_{01} & p_{11}\n", "\\end{bmatrix}\n", "$$\n", "\n", "where $p_{ij}$ is the probability of transitioning *from* regime $i$, *to* regime $j$.\n", "\n", "The model class is `MarkovAutoregression` in the time-series part of `statsmodels`. In order to create the model, we must specify the number of regimes with `k_regimes=2`, and the order of the autoregression with `order=4`. The default model also includes switching autoregressive coefficients, so here we also need to specify `switching_ar=False` to avoid that.\n", "\n", "After creation, the model is `fit` via maximum likelihood estimation. Under the hood, good starting parameters are found using a number of steps of the expectation maximization (EM) algorithm, and a quasi-Newton (BFGS) algorithm is applied to quickly find the maximum." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:16.169453Z", "iopub.status.busy": "2021-02-02T06:52:16.167960Z", "iopub.status.idle": "2021-02-02T06:52:20.605578Z", "shell.execute_reply": "2021-02-02T06:52:20.606559Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Get the RGNP data to replicate Hamilton\n", "dta = pd.read_stata('https://www.stata-press.com/data/r14/rgnp.dta').iloc[1:]\n", "dta.index = pd.DatetimeIndex(dta.date, freq='QS')\n", "dta_hamilton = dta.rgnp\n", "\n", "# Plot the data\n", "dta_hamilton.plot(title='Growth rate of Real GNP', figsize=(12,3))\n", "\n", "# Fit the model\n", "mod_hamilton = sm.tsa.MarkovAutoregression(dta_hamilton, k_regimes=2, order=4, switching_ar=False)\n", "res_hamilton = mod_hamilton.fit()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:20.616542Z", "iopub.status.busy": "2021-02-02T06:52:20.610054Z", "iopub.status.idle": "2021-02-02T06:52:20.640896Z", "shell.execute_reply": "2021-02-02T06:52:20.641986Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: rgnp No. Observations: 131
Model: MarkovAutoregression Log Likelihood -181.263
Date: Tue, 02 Feb 2021 AIC 380.527
Time: 06:52:20 BIC 406.404
Sample: 04-01-1951 HQIC 391.042
- 10-01-1984
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const -0.3588 0.265 -1.356 0.175 -0.877 0.160
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 1.1635 0.075 15.614 0.000 1.017 1.310
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.5914 0.103 5.761 0.000 0.390 0.793
ar.L1 0.0135 0.120 0.112 0.911 -0.222 0.249
ar.L2 -0.0575 0.138 -0.418 0.676 -0.327 0.212
ar.L3 -0.2470 0.107 -2.310 0.021 -0.457 -0.037
ar.L4 -0.2129 0.111 -1.926 0.054 -0.430 0.004
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.7547 0.097 7.819 0.000 0.565 0.944
p[1->0] 0.0959 0.038 2.542 0.011 0.022 0.170


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "================================================================================\n", "Dep. Variable: rgnp No. Observations: 131\n", "Model: MarkovAutoregression Log Likelihood -181.263\n", "Date: Tue, 02 Feb 2021 AIC 380.527\n", "Time: 06:52:20 BIC 406.404\n", "Sample: 04-01-1951 HQIC 391.042\n", " - 10-01-1984 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.3588 0.265 -1.356 0.175 -0.877 0.160\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 1.1635 0.075 15.614 0.000 1.017 1.310\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.5914 0.103 5.761 0.000 0.390 0.793\n", "ar.L1 0.0135 0.120 0.112 0.911 -0.222 0.249\n", "ar.L2 -0.0575 0.138 -0.418 0.676 -0.327 0.212\n", "ar.L3 -0.2470 0.107 -2.310 0.021 -0.457 -0.037\n", "ar.L4 -0.2129 0.111 -1.926 0.054 -0.430 0.004\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7547 0.097 7.819 0.000 0.565 0.944\n", "p[1->0] 0.0959 0.038 2.542 0.011 0.022 0.170\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_hamilton.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the filtered and smoothed probabilities of a recession. Filtered refers to an estimate of the probability at time $t$ based on data up to and including time $t$ (but excluding time $t+1, ..., T$). Smoothed refers to an estimate of the probability at time $t$ using all the data in the sample.\n", "\n", "For reference, the shaded periods represent the NBER recessions." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:20.646961Z", "iopub.status.busy": "2021-02-02T06:52:20.645323Z", "iopub.status.idle": "2021-02-02T06:52:21.161254Z", "shell.execute_reply": "2021-02-02T06:52:21.160473Z" } }, "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=(7,7))\n", "ax = axes[0]\n", "ax.plot(res_hamilton.filtered_marginal_probabilities[0])\n", "ax.fill_between(usrec.index, 0, 1, where=usrec['USREC'].values, color='k', alpha=0.1)\n", "ax.set_xlim(dta_hamilton.index[4], dta_hamilton.index[-1])\n", "ax.set(title='Filtered probability of recession')\n", "\n", "ax = axes[1]\n", "ax.plot(res_hamilton.smoothed_marginal_probabilities[0])\n", "ax.fill_between(usrec.index, 0, 1, where=usrec['USREC'].values, color='k', alpha=0.1)\n", "ax.set_xlim(dta_hamilton.index[4], dta_hamilton.index[-1])\n", "ax.set(title='Smoothed probability of recession')\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the estimated transition matrix we can calculate the expected duration of a recession versus an expansion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:21.168472Z", "iopub.status.busy": "2021-02-02T06:52:21.167645Z", "iopub.status.idle": "2021-02-02T06:52:21.172506Z", "shell.execute_reply": "2021-02-02T06:52:21.173261Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4.07604747 10.42589381]\n" ] } ], "source": [ "print(res_hamilton.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, it is expected that a recession will last about one year (4 quarters) and an expansion about two and a half years." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Kim, Nelson, and Startz (1998) Three-state Variance Switching\n", "\n", "This model demonstrates estimation with regime heteroskedasticity (switching of variances) and no mean effect. The dataset can be reached at http://econ.korea.ac.kr/~cjkim/MARKOV/data/ew_excs.prn.\n", "\n", "The model in question is:\n", "\n", "$$\n", "\\begin{align}\n", "y_t & = \\varepsilon_t \\\\\n", "\\varepsilon_t & \\sim N(0, \\sigma_{S_t}^2)\n", "\\end{align}\n", "$$\n", "\n", "Since there is no autoregressive component, this model can be fit using the `MarkovRegression` class. Since there is no mean effect, we specify `trend='nc'`. There are hypothesized to be three regimes for the switching variances, so we specify `k_regimes=3` and `switching_variance=True` (by default, the variance is assumed to be the same across regimes)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:21.186205Z", "iopub.status.busy": "2021-02-02T06:52:21.185203Z", "iopub.status.idle": "2021-02-02T06:52:26.305187Z", "shell.execute_reply": "2021-02-02T06:52:26.306499Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Get the dataset\n", "ew_excs = requests.get('http://econ.korea.ac.kr/~cjkim/MARKOV/data/ew_excs.prn').content\n", "raw = pd.read_table(BytesIO(ew_excs), header=None, skipfooter=1, engine='python')\n", "raw.index = pd.date_range('1926-01-01', '1995-12-01', freq='MS')\n", "\n", "dta_kns = raw.loc[:'1986'] - raw.loc[:'1986'].mean()\n", "\n", "# Plot the dataset\n", "dta_kns[0].plot(title='Excess returns', figsize=(12, 3))\n", "\n", "# Fit the model\n", "mod_kns = sm.tsa.MarkovRegression(dta_kns, k_regimes=3, trend='nc', switching_variance=True)\n", "res_kns = mod_kns.fit()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:26.311490Z", "iopub.status.busy": "2021-02-02T06:52:26.309996Z", "iopub.status.idle": "2021-02-02T06:52:26.340777Z", "shell.execute_reply": "2021-02-02T06:52:26.342029Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: 0 No. Observations: 732
Model: MarkovRegression Log Likelihood 1001.895
Date: Tue, 02 Feb 2021 AIC -1985.790
Time: 06:52:26 BIC -1944.428
Sample: 01-01-1926 HQIC -1969.834
- 12-01-1986
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.0012 0.000 7.136 0.000 0.001 0.002
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.0040 0.000 8.489 0.000 0.003 0.005
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Regime 2 parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.0311 0.006 5.461 0.000 0.020 0.042
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Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.9747 0.000 7857.416 0.000 0.974 0.975
p[1->0] 0.0195 0.010 1.949 0.051 -0.000 0.039
p[2->0] 2.354e-08 nan nan nan nan nan
p[0->1] 0.0253 3.97e-05 637.835 0.000 0.025 0.025
p[1->1] 0.9688 0.013 75.528 0.000 0.944 0.994
p[2->1] 0.0493 0.032 1.551 0.121 -0.013 0.112


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: 0 No. Observations: 732\n", "Model: MarkovRegression Log Likelihood 1001.895\n", "Date: Tue, 02 Feb 2021 AIC -1985.790\n", "Time: 06:52:26 BIC -1944.428\n", "Sample: 01-01-1926 HQIC -1969.834\n", " - 12-01-1986 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.0012 0.000 7.136 0.000 0.001 0.002\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.0040 0.000 8.489 0.000 0.003 0.005\n", " Regime 2 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.0311 0.006 5.461 0.000 0.020 0.042\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.9747 0.000 7857.416 0.000 0.974 0.975\n", "p[1->0] 0.0195 0.010 1.949 0.051 -0.000 0.039\n", "p[2->0] 2.354e-08 nan nan nan nan nan\n", "p[0->1] 0.0253 3.97e-05 637.835 0.000 0.025 0.025\n", "p[1->1] 0.9688 0.013 75.528 0.000 0.944 0.994\n", "p[2->1] 0.0493 0.032 1.551 0.121 -0.013 0.112\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_kns.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we plot the probabilities of being in each of the regimes; only in a few periods is a high-variance regime probable." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:26.347504Z", "iopub.status.busy": "2021-02-02T06:52:26.346002Z", "iopub.status.idle": "2021-02-02T06:52:27.086341Z", "shell.execute_reply": "2021-02-02T06:52:27.087292Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, figsize=(10,7))\n", "\n", "ax = axes[0]\n", "ax.plot(res_kns.smoothed_marginal_probabilities[0])\n", "ax.set(title='Smoothed probability of a low-variance regime for stock returns')\n", "\n", "ax = axes[1]\n", "ax.plot(res_kns.smoothed_marginal_probabilities[1])\n", "ax.set(title='Smoothed probability of a medium-variance regime for stock returns')\n", "\n", "ax = axes[2]\n", "ax.plot(res_kns.smoothed_marginal_probabilities[2])\n", "ax.set(title='Smoothed probability of a high-variance regime for stock returns')\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Filardo (1994) Time-Varying Transition Probabilities\n", "\n", "This model demonstrates estimation with time-varying transition probabilities. The dataset can be reached at http://econ.korea.ac.kr/~cjkim/MARKOV/data/filardo.prn.\n", "\n", "In the above models we have assumed that the transition probabilities are constant across time. Here we allow the probabilities to change with the state of the economy. Otherwise, the model is the same Markov autoregression of Hamilton (1989).\n", "\n", "Each period, the regime now transitions according to the following matrix of time-varying transition probabilities:\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00,t} & p_{10,t} \\\\\n", "p_{01,t} & p_{11,t}\n", "\\end{bmatrix}\n", "$$\n", "\n", "where $p_{ij,t}$ is the probability of transitioning *from* regime $i$, *to* regime $j$ in period $t$, and is defined to be:\n", "\n", "$$\n", "p_{ij,t} = \\frac{\\exp\\{ x_{t-1}' \\beta_{ij} \\}}{1 + \\exp\\{ x_{t-1}' \\beta_{ij} \\}}\n", "$$\n", "\n", "Instead of estimating the transition probabilities as part of maximum likelihood, the regression coefficients $\\beta_{ij}$ are estimated. These coefficients relate the transition probabilities to a vector of pre-determined or exogenous regressors $x_{t-1}$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:27.092601Z", "iopub.status.busy": "2021-02-02T06:52:27.090913Z", "iopub.status.idle": "2021-02-02T06:52:29.312445Z", "shell.execute_reply": "2021-02-02T06:52:29.313532Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Get the dataset\n", "filardo = requests.get('http://econ.korea.ac.kr/~cjkim/MARKOV/data/filardo.prn').content\n", "dta_filardo = pd.read_table(BytesIO(filardo), sep=' +', header=None, skipfooter=1, engine='python')\n", "dta_filardo.columns = ['month', 'ip', 'leading']\n", "dta_filardo.index = pd.date_range('1948-01-01', '1991-04-01', freq='MS')\n", "\n", "dta_filardo['dlip'] = np.log(dta_filardo['ip']).diff()*100\n", "# Deflated pre-1960 observations by ratio of std. devs.\n", "# See hmt_tvp.opt or Filardo (1994) p. 302\n", "std_ratio = dta_filardo['dlip']['1960-01-01':].std() / dta_filardo['dlip'][:'1959-12-01'].std()\n", "dta_filardo['dlip'][:'1959-12-01'] = dta_filardo['dlip'][:'1959-12-01'] * std_ratio\n", "\n", "dta_filardo['dlleading'] = np.log(dta_filardo['leading']).diff()*100\n", "dta_filardo['dmdlleading'] = dta_filardo['dlleading'] - dta_filardo['dlleading'].mean()\n", "\n", "# Plot the data\n", "dta_filardo['dlip'].plot(title='Standardized growth rate of industrial production', figsize=(13,3))\n", "plt.figure()\n", "dta_filardo['dmdlleading'].plot(title='Leading indicator', figsize=(13,3));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time-varying transition probabilities are specified by the `exog_tvtp` parameter.\n", "\n", "Here we demonstrate another feature of model fitting - the use of a random search for MLE starting parameters. Because Markov switching models are often characterized by many local maxima of the likelihood function, performing an initial optimization step can be helpful to find the best parameters.\n", "\n", "Below, we specify that 20 random perturbations from the starting parameter vector are examined and the best one used as the actual starting parameters. Because of the random nature of the search, we seed the random number generator beforehand to allow replication of the result." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:29.318696Z", "iopub.status.busy": "2021-02-02T06:52:29.317182Z", "iopub.status.idle": "2021-02-02T06:52:39.856903Z", "shell.execute_reply": "2021-02-02T06:52:39.858169Z" } }, "outputs": [], "source": [ "mod_filardo = sm.tsa.MarkovAutoregression(\n", " dta_filardo.iloc[2:]['dlip'], k_regimes=2, order=4, switching_ar=False,\n", " exog_tvtp=sm.add_constant(dta_filardo.iloc[1:-1]['dmdlleading']))\n", "\n", "np.random.seed(12345)\n", "res_filardo = mod_filardo.fit(search_reps=20)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:39.863030Z", "iopub.status.busy": "2021-02-02T06:52:39.861457Z", "iopub.status.idle": "2021-02-02T06:52:39.895417Z", "shell.execute_reply": "2021-02-02T06:52:39.896467Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: dlip No. Observations: 514
Model: MarkovAutoregression Log Likelihood -586.572
Date: Tue, 02 Feb 2021 AIC 1195.144
Time: 06:52:39 BIC 1241.808
Sample: 03-01-1948 HQIC 1213.433
- 04-01-1991
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const -0.8659 0.153 -5.658 0.000 -1.166 -0.566
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Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 0.5173 0.077 6.706 0.000 0.366 0.668
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Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.4844 0.037 13.172 0.000 0.412 0.556
ar.L1 0.1895 0.050 3.761 0.000 0.091 0.288
ar.L2 0.0793 0.051 1.552 0.121 -0.021 0.180
ar.L3 0.1109 0.052 2.136 0.033 0.009 0.213
ar.L4 0.1223 0.051 2.418 0.016 0.023 0.221
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Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0].tvtp0 1.6494 0.446 3.702 0.000 0.776 2.523
p[1->0].tvtp0 -4.3595 0.747 -5.833 0.000 -5.824 -2.895
p[0->0].tvtp1 -0.9945 0.566 -1.758 0.079 -2.103 0.114
p[1->0].tvtp1 -1.7702 0.508 -3.484 0.000 -2.766 -0.775


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "================================================================================\n", "Dep. Variable: dlip No. Observations: 514\n", "Model: MarkovAutoregression Log Likelihood -586.572\n", "Date: Tue, 02 Feb 2021 AIC 1195.144\n", "Time: 06:52:39 BIC 1241.808\n", "Sample: 03-01-1948 HQIC 1213.433\n", " - 04-01-1991 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.8659 0.153 -5.658 0.000 -1.166 -0.566\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.5173 0.077 6.706 0.000 0.366 0.668\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.4844 0.037 13.172 0.000 0.412 0.556\n", "ar.L1 0.1895 0.050 3.761 0.000 0.091 0.288\n", "ar.L2 0.0793 0.051 1.552 0.121 -0.021 0.180\n", "ar.L3 0.1109 0.052 2.136 0.033 0.009 0.213\n", "ar.L4 0.1223 0.051 2.418 0.016 0.023 0.221\n", " Regime transition parameters \n", "=================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "---------------------------------------------------------------------------------\n", "p[0->0].tvtp0 1.6494 0.446 3.702 0.000 0.776 2.523\n", "p[1->0].tvtp0 -4.3595 0.747 -5.833 0.000 -5.824 -2.895\n", "p[0->0].tvtp1 -0.9945 0.566 -1.758 0.079 -2.103 0.114\n", "p[1->0].tvtp1 -1.7702 0.508 -3.484 0.000 -2.766 -0.775\n", "=================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_filardo.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we plot the smoothed probability of the economy operating in a low-production state, and again include the NBER recessions for comparison." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:39.901316Z", "iopub.status.busy": "2021-02-02T06:52:39.899669Z", "iopub.status.idle": "2021-02-02T06:52:40.179309Z", "shell.execute_reply": "2021-02-02T06:52:40.180428Z" } }, "outputs": [ { "data": { "text/plain": [ "[Text(0.5, 1.0, 'Smoothed probability of a low-production state')]" ] }, "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, ax = plt.subplots(figsize=(12,3))\n", "\n", "ax.plot(res_filardo.smoothed_marginal_probabilities[0])\n", "ax.fill_between(usrec.index, 0, 1, where=usrec['USREC'].values, color='gray', alpha=0.2)\n", "ax.set_xlim(dta_filardo.index[6], dta_filardo.index[-1])\n", "ax.set(title='Smoothed probability of a low-production state');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the time-varying transition probabilities, we can see how the expected duration of a low-production state changes over time:\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:52:40.185592Z", "iopub.status.busy": "2021-02-02T06:52:40.183807Z", "iopub.status.idle": "2021-02-02T06:52:40.669370Z", "shell.execute_reply": "2021-02-02T06:52:40.670451Z" } }, "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": [ "res_filardo.expected_durations[0].plot(\n", " title='Expected duration of a low-production state', figsize=(12,3));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "During recessions, the expected duration of a low-production state is much higher than in an expansion." ] } ], "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 }