{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov switching dynamic regression models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook provides an example of the use of Markov switching models in statsmodels to estimate dynamic regression models with changes in regime. It follows the examples in the Stata Markov switching documentation, which can be found at http://www.stata.com/manuals14/tsmswitch.pdf." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:53.043132Z", "iopub.status.busy": "2023-12-14T14:44:53.042793Z", "iopub.status.idle": "2023-12-14T14:44:57.099454Z", "shell.execute_reply": "2023-12-14T14:44:57.098766Z" }, "jupyter": { "outputs_hidden": false } }, "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", "\n", "# NBER recessions\n", "from pandas_datareader.data import DataReader\n", "from datetime import datetime\n", "\n", "usrec = DataReader(\n", " \"USREC\", \"fred\", start=datetime(1947, 1, 1), end=datetime(2013, 4, 1)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Federal funds rate with switching intercept\n", "\n", "The first example models the federal funds rate as noise around a constant intercept, but where the intercept changes during different regimes. The model is simply:\n", "\n", "$$r_t = \\mu_{S_t} + \\varepsilon_t \\qquad \\varepsilon_t \\sim N(0, \\sigma^2)$$\n", "\n", "where $S_t \\in \\{0, 1\\}$, and the regime transitions according to\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00} & p_{10} \\\\\n", "1 - p_{00} & 1 - p_{10}\n", "\\end{bmatrix}\n", "$$\n", "\n", "We will estimate the parameters of this model by maximum likelihood: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\sigma^2$.\n", "\n", "The data used in this example can be found at https://www.stata-press.com/data/r14/usmacro." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:57.104644Z", "iopub.status.busy": "2023-12-14T14:44:57.103428Z", "iopub.status.idle": "2023-12-14T14:44:57.933963Z", "shell.execute_reply": "2023-12-14T14:44:57.933183Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the federal funds rate data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import fedfunds\n", "\n", "dta_fedfunds = pd.Series(\n", " fedfunds, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\")\n", ")\n", "\n", "# Plot the data\n", "dta_fedfunds.plot(title=\"Federal funds rate\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "# (a switching mean is the default of the MarkovRegession model)\n", "mod_fedfunds = sm.tsa.MarkovRegression(dta_fedfunds, k_regimes=2)\n", "res_fedfunds = mod_fedfunds.fit()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:57.939045Z", "iopub.status.busy": "2023-12-14T14:44:57.937770Z", "iopub.status.idle": "2023-12-14T14:44:58.001868Z", "shell.execute_reply": "2023-12-14T14:44:58.000829Z" }, "jupyter": { "outputs_hidden": false } }, "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: y No. Observations: 226
Model: MarkovRegression Log Likelihood -508.636
Date: Thu, 14 Dec 2023 AIC 1027.272
Time: 14:44:57 BIC 1044.375
Sample: 07-01-1954 HQIC 1034.174
- 10-01-2010
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 3.7088 0.177 20.988 0.000 3.362 4.055
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 9.5568 0.300 31.857 0.000 8.969 10.145
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 4.4418 0.425 10.447 0.000 3.608 5.275
\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] 0.9821 0.010 94.443 0.000 0.962 1.002
p[1->0] 0.0504 0.027 1.876 0.061 -0.002 0.103


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 226 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -508.636 \\\\\n", "\\textbf{Date:} & Thu, 14 Dec 2023 & \\textbf{ AIC } & 1027.272 \\\\\n", "\\textbf{Time:} & 14:44:57 & \\textbf{ BIC } & 1044.375 \\\\\n", "\\textbf{Sample:} & 07-01-1954 & \\textbf{ HQIC } & 1034.174 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 3.7088 & 0.177 & 20.988 & 0.000 & 3.362 & 4.055 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 9.5568 & 0.300 & 31.857 & 0.000 & 8.969 & 10.145 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 4.4418 & 0.425 & 10.447 & 0.000 & 3.608 & 5.275 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.9821 & 0.010 & 94.443 & 0.000 & 0.962 & 1.002 \\\\\n", "\\textbf{p[1-$>$0]} & 0.0504 & 0.027 & 1.876 & 0.061 & -0.002 & 0.103 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 226\n", "Model: MarkovRegression Log Likelihood -508.636\n", "Date: Thu, 14 Dec 2023 AIC 1027.272\n", "Time: 14:44:57 BIC 1044.375\n", "Sample: 07-01-1954 HQIC 1034.174\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 3.7088 0.177 20.988 0.000 3.362 4.055\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 9.5568 0.300 31.857 0.000 8.969 10.145\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 4.4418 0.425 10.447 0.000 3.608 5.275\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.9821 0.010 94.443 0.000 0.962 1.002\n", "p[1->0] 0.0504 0.027 1.876 0.061 -0.002 0.103\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the summary output, the mean federal funds rate in the first regime (the \"low regime\") is estimated to be $3.7$ whereas in the \"high regime\" it is $9.6$. Below we plot the smoothed probabilities of being in the high regime. The model suggests that the 1980's was a time-period in which a high federal funds rate existed." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:58.007133Z", "iopub.status.busy": "2023-12-14T14:44:58.005913Z", "iopub.status.idle": "2023-12-14T14:44:58.251066Z", "shell.execute_reply": "2023-12-14T14:44:58.250288Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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i6D3cvXu3ZsdsTEua4sm6dOmCFStWYOjQofUCUS2lpKTA6XQ2+N6F6/2Uy9Dj4+MbPW/0HqtevyMiIrPgHG0iIpO4/PLL4fV662Vyn3/+eUiSVG9eZm5ubtA860OHDuHjjz/GyJEjlWyV1Wqtl3n75z//WW8JJNkrr7yC6upq5fv58+ejpqYmpDmhpxMTE3PaAL9NmzYYPXo0/vWvf2Hx4sUYNWoU2rRpc8bnvPzyy7Fhw4agJcDKy8vxyiuvIDMzE7179272eJcuXRo0x3rDhg1Yv3698l6kpKRg+PDhePnll3Hs2LF6jz9+/Hizj11XTk4Ojhw5ErRkWGVlJV599VVVnj9Ucqf60/0um+L666+H1+vFU089Ve9nNTU1LXruxlitVowYMQJLly7F0aNHle27d++u1wNBK1lZWejSpQueffZZlJWV1fu5fN7oPVa9fkdERGbBjDYRkUmMGTMGF198Mf7nf/4H+/fvR79+/fDf//4XH3/8MR544IGghkwA0LdvX+Tk5AQt7wX41zeW/f73v8fbb7+NhIQE9O7dG7m5uVixYsVplyWqqqrCpZdeiuuvvx47d+7ESy+9hAsvvDCoEVdzZWVlYcWKFZgzZw7atWuHTp06Bc2vHj9+PK677joAaPDmviGPPfYY/v3vf2P06NG47777kJSUhDfffBP79u3Dhx9+2KLy/K5du+LCCy/E3XffDY/Hg7lz56J169Z45JFHlH3mzZuHCy+8EOeccw7uuOMOdO7cGfn5+cjNzcXhw4fx448/Nvv4skmTJuHFF1/EjTfeiPvvvx9t27bF4sWL4XQ6AaiTYQ5FdHQ0evfujSVLlqB79+5ISkpC3759Q5oLP2zYMEyaNAmzZ8/Gli1bMHLkSERFRWHXrl14//338cILLyjngtqeeOIJ/Pe//8XQoUNx9913Kx9u9e3bF1u2bNHkmHVZLBa89tprGD16NPr06YOJEyciPT0dR44cwerVqxEfH49PP/1U97Hq+TsiIjIDBtpERCZhsVjwySefYMaMGViyZAneeOMNZGZm4plnnsFDDz1Ub/9hw4YhOzsbs2bNwsGDB9G7d28sWrQoaE3jF154AVarFYsXL0ZlZSWGDh2KFStWnHZO8YsvvojFixdjxowZqK6uxo033oh//OMfqgRzc+bMwZ133onp06ejoqICEyZMCAq0x4wZg1atWsHn8zU5sE9NTcW6devw6KOP4p///CcqKytx7rnn4tNPP8UVV1zRovGOHz8eFosFc+fORUFBAQYNGoQXX3wRbdu2Vfbp3bs3Nm7ciFmzZmHRokU4efIkUlJSMGDAAMyYMaNFx5fFxsZi1apVuPfee/HCCy8gNjYW48ePx5AhQ3DttdcqAXc4vfbaa7j33nvx4IMPoqqqCjNnzgy56dyCBQuQlZWFl19+GX/5y19gs9mQmZmJP/3pTxg6dKhGI/d/4PP555/j4YcfxuOPP46MjAw8+eST2L59uzLlQGvDhw9Hbm4unnrqKbz44osoKytDWloaBg8ejEmTJhlmrHr9joiIzEAS4eioQkRE1EI1NTVo164dxowZg9dff13v4Rje3Llz8eCDD+Lw4cONdjanphk7dix+/vnnBufmG42ZxkpEFKk4R5uIiExh6dKlOH78OMaPH6/3UAynoqIi6PvKykq8/PLL6NatG4PsZvjt+7lr1y4sW7YMw4cP12dAjTDTWImIzibMaBMRkaGtX78eP/30E5566im0adMmqMEb+Y0ePRodOnRA//79UVxcjH/961/4+eefsXjxYvzxj3/Ue3im07ZtW9xyyy3o3LkzDhw4gPnz58Pj8WDz5s0Nrp+uJzONlYjobMI52kREZGjz58/Hv/71L/Tv3x+LFi3SeziGlJOTg9deew2LFy+G1+tF79698e677zZpCTSqb9SoUfj3v/+NvLw8OBwOZGdn4+mnnzZk4GqmsRIRnU2Y0SYiIiIiIiJSEedoExEREREREamIgTYRERERERGRikwxR9vn8+Ho0aOIi4tTZa1WIiIiIiIiosYIIVBaWop27drBYgktR22KQPvo0aPIyMjQexhERERERER0ljl06BDat28f0mNMEWjHxcUB8L/A+Ph4nUdDREREREREka6kpAQZGRlKPBoKUwTacrl4fHw8A20iIiIiIiIKm+ZMX2YzNCIiIiIiIiIVMdAmIiIiIiIiUhEDbSIiIiIiIiIVhRxof/311xgzZgzatWsHSZKwdOnSMz5mzZo1OO+88+BwONC1a1csWrSoGUMlIiIiIiIiMr6QA+3y8nL069cP8+bNa9L++/btwxVXXIGLL74YW7ZswQMPPIDbb78dX3zxRciDJSIiIiIiIjK6kLuOjx49GqNHj27y/gsWLECnTp3w3HPPAQB69eqFtWvX4vnnn0dOTk6ohyciIiIiIiIyNM2X98rNzcWIESOCtuXk5OCBBx7Q+tBEZEJCiGYtoWB2pZXVyCuuhKfGB0+ND1U1PviECOk54p1R6Jsef1a+f405WlSBwvIq+ISA1yfgE/7zTP7vprzPjb6jjfxQauSHjf2aGjteY7/f5j9nIz/U4DX4H9vwHhYJsFokRFktsFok2CwSbFYLbBYJVouE6CgrYhymWJ1UIYSAp8aH0soalHlqUFZZgyqvF/KpJ4DAfwsBoTwOCHwHWCSp9sv//snvlbw9wRWFNrF2OGzWsL4+IiKqT/O/VHl5eUhNTQ3alpqaipKSElRUVCA6OrreYzweDzwej/J9SUmJ1sMkIh24q2owe9kO7DtRjhNlHpwoq0JhuQftW7kwqm8acvqkYUBGIiyWyA4cT5Z5MPyZNSj11LT4ua44py3+ft25pgtEtODzCTzz352Yv2aP3kMhlWUkReOc9AT0TU9A//aJuKBza8NdJ/JLKvHVr8fx9a/HsXb3CRS5q8N27DinDclxDozum4b7L+0Ou429b4mIws2Qd2KzZ8/GrFmz9B4GEWnsjW/34+3vDtTbfrDQjVe+3otXvt6LlDgHJgzJxOSLu+owwvBYv68QpZ4aRFklJMXYYbdZYLdaYLNYzpBpDLbneBk+23oMuwpK8fLNA9GpTYx2gza4ymovHnrvR3y29RgAIDXeAaskQZL8WVGrRYIkAdbaTGBj73NjCe+62cbQHtfY8Rp5zkYe19gPtThec9+XMz3W5xOo8fkrDqq9Pnhrv5e3AcChwgocKqzAsq15AIBLeqZg3h/PQ7Rd30xujdeHT348itfX7sPPRxtOEsQ6bIh12GC3+f99Swhk96Xa/5FPR0kKrokQ8FdgCIHaigz/f/uEQLVXoLiiCtVegdLKGpRW1mDe6j346tfjeOGGAeiSHKvdCyciono0D7TT0tKQn58ftC0/Px/x8fENZrMBYNq0aZg6daryfUlJCTIyMjQdJxGFl6fGizfX7QcA3DWsC4Z0aY3WsXa0ctnx0+EiLN+Wh5XbC1BQ6sEzX+zEdVntkRrv1HfQGtl6pBgAcF1WBmZfc06zn2fTgVO4+1+b8Gt+Ga58cS1euKE/LumZeuYHRpgTZR7c8dZGbD5YhCirhL9ecy6uzWqv97BIBUIIlFTU4OejxfjpSDG2HinGil/ysWpHAW5+fT1en3A+ElxRYR+Xp8aLDzcdwfyvduNQYQUAf1n9uekJGNY9GcN6JKNbahxi7TZNM+9CCBRXVONEmQdbjxRj1qe/YNuREvz+H2sx68o++MPA9pxaQkQUJpoH2tnZ2Vi2bFnQti+//BLZ2dmnfYzD4YDD4dB6aESko0+2HEVBqQep8Q5MvSy4tLFdYjRG9W2Lqhofrpr3LbYfK8F3e0/iqv7pOo5YO9tqA+1z0hNa9DxZHVvh/+69EPcs/gEbD5zCbW9uxBu3nI/hPVLUGKYpHCmqwLiXc3H4VAUSoqOw4E9ZyO7SWu9hkUqk2nnIQ7q2wZCubQAA3+8vxK2LvsfGA6cw7pVcvHnroLB9KHekqALvbzyEdzccQl5JJQCgdYwdt13UCeMGZqB1bHjvZSRJQqLLjkSXHV1T4pDduQ0eXLIFuXtP4pEPf8LPR4sx66q+YR0TEdHZKuRJO2VlZdiyZQu2bNkCwL9815YtW3Dw4EEA/mz0+PHjlf3vuusu7N27F4888gh27NiBl156Ce+99x4efPBBdV4BEZmOEAKvr90HAJg4tNNp5w/abRYMrQ2SvttbGLbxhZMQQslotzTQBoCUeCfeueMCXNY7FUIAK7cXtPg5zWTRt/tw+FQFOiS58J97hjDIPgucn5mE9yZlIznOgR15pbh2/jrsP1Gu2fGqvT4s23oMExZuwIV/W4W5K3Yhr6QSafFOzPh9b6x99BLcM7xr2IPshqQlOPGv2wfjkVE9AABvfXcA5Sr0giAiojMLOdDeuHEjBgwYgAEDBgAApk6digEDBmDGjBkAgGPHjilBNwB06tQJn332Gb788kv069cPzz33HF577TUu7UV0Fvtm1wnsyCtFjN2KGwd1aHTfCzr7A6X1e0+GY2hhd/hUBYrc1YiySuieps4cSrvNggEdEgH45yqfTX455p8XO/niLpyTehbp1TYeH941BB1bu3D4VAUmvLEBRe4qVY/h8wl88uNRjHz+a9yz+Ad89etxCAEM6dIaL9zQH189Mhy3XthJ93niv2W1SLhneFekxjsgBLD9GBvMEhGFQ8il48OHD2+0ccqiRYsafMzmzZtDPRQRRahXv9kLALj+/AwkRDc+n/L8TkmQJGDviXIUlFQiJcLmacvZ7B5pcaouyeOsfa7KGp9qz2kGO/NKAQA90uJ1HgmFW4fWLrx/VzaunrcOB066MeWdzVg08XzYrC3ruC2EwOqdBXjmi1+VILV1jB03DuqAPwxsj46tzdF0sE+7BOSXFGDbkWIMzEzSezhERBGP6z0QUVhtP1aCb3adgEUCbh3a6Yz7J0RHoXdbf9D03b7IKx9Xs2y8LmdUbaB9FmW05SXiJAnonsps9tkoJc6J1yYMhMtuxdrdJ/C/y7a36Pn2nSjHn15fj1sXbcT2YyWIc9jw0GXd8fUjF+PhnB6mCbIBoG87/3X0dN3QiYhIXQy0iSisXvvGPzd79DltkZHkatJj5PLx7yKwfDzQCC1R1eeNtvsv72dToC1nszskueCyG3L1SgqDXm3jMef6fgD8Swi+t/FQyM9RVePDP1fuQs7cr/Ht7pNw2CyYNKwzvnn0Ytx7aTdTrlPfu53/wzwG2kRE4cFAm4jCJr+kEp/8eAQAcMdFnZv8uEgNtNVuhFaXUjp+FgXaO+Sy8dQ4nUdCehvVty0eGNENADD9o20hXTvW7TmBy//xDZ778ldU1fhwUbc2+PLBYZg2uhcSXXathqy5PrUZ7V0FpfDUnD3XBSIivZjvI1kiMq3Ptx5DtVcgq2Mr9M9IbPLjBmXWztM+HlnztLVohCYLlI6fPXO0d+b5M3U90xhoE3DfJd2wM68Un2/Lww2vfIfLz0nDfZd2Q8/TzN/fergYf/9iB77ZdQIA0CbWjsd/3xtX9msXEWtPt28VjYToKBRXVGNXfhn6qvzhHhERBWOgTURhU+iuBgD0ahtaIJTgikKvtHj8cqwE6/cVYky/dloML+y2adQIDQgE2hVnUUabjdCoLotFwnPX94PNasGnPx7Fsq15WLY1D6P7pmH0OW0RZZFgsUiQAHy85Sg+23oMAGCzSPjj4A6Yell3U2ewf0uSJPRpF491e07i56PFDLSJiDTGQJuIwkZev7U58xsv6NwavxwrwXd7T0ZMoP2TRmXjAOCMOrvmaPt8Ar/mlwHwf3BBBAAuuw3/vHEAJl/cBf9cuRvLth3D59vy8Pm2vHr7ShJwVb92ePCy7qZqchaKQKDNedpERFpjoE1EYaME2s1oVHVB5yQs/HZfRM3TljPaWmSWzrbS8YOFblRUe2G3WZDZumlN9ujs0TMtHvNuOg+/5pfila/34mChGz6fgE8IeAWQ0Soaky/uil5tI7saog8bohERhQ0DbSIKm7IWZLQH1a6nved4OQpKK5ESZ+552lo2QgOA6LNseS+5EVr31NgWr5tMkat7ahye/UM/vYehm77p/g8Sth8rgdcnYLWYf+45EZFR8W6EiMJGzmjHOkKfj5zositNjDZEwHradRuhaVHqfLato63Mz06N7IwkUUt0ahOL6Cgr3FVe7DtRrvdwiIgiGgNtIgqb8ip/0NfcNWgv6JwEIDKW+dKyERoQmKNd4xOo9kZ++fjOfHYcJzoTq0VCz9pmlD8fLdZ5NEREkY2BNhGFTUuaoQF119M2f0Zby7JxIJDRBs6OrLayhjYDbaJGyetp/8J52kREmmKgTURh05JmaAAwuHae9u6CMpwo86g5tLDbqmEjNABw2CyQl/6N9IZoldVe7K8tg2VGm6hxfdkQjYgoLBhoE1HYlHnk0vHmlUonuuxIjnUAAPKKK1UbV7hp3QgN8K+Z67CdHUt87S4og08ArVxRSI5z6D0cIkOTO49vO1oMIYTOoyEiilwMtIkobNxVcjO05i94ID9Wzo6bkdaN0GRnS+fxumXjksQuykSN6Z4WC5tFQpG7GkdN/IElEZHRMdAmorDw+QTcLWyGVvex5VXmDbTlDtldU7RphCY7W9bS3pknN0Jjx3GiM3HYrOiaEgsA+PkIG6IREWmFgTYRhUXdwLi5c7SBQNm5XIZuRiWV1QCANrF2TY+jBNo15n2vmoKN0IhCI/eG4DxtIiLtMNAmorAorw2MLVJg6anmkIN0M5eOy5l9l127bDYQCLQrqhhoE1GA3HmcS3wREWmHgTYRhYWc0Y5x2Fo0jzYmAuZoy3PVXS3I7DeF/IFGJM/RLiyvwvFSfwf6HqkMtImaog87jxMRaY6BNhGFhRwYt6QRGlA30DZv8ChntKO1zmjb5NLxyJ2jvaN2fnaHJFeL5v4TnU1612a0jxVXothdrfNoiIgiEwNtIgqLMo+cxW1ZcBlbO0fbzM3Q5FJuV5S2gbYcyFdGcOn4TpaNE4Us1mFDTO31oaiiSufREBFFJgbaRBQWcgZarYx2malLx8M1R7u2dDyCm6H9mu8PtHsy0CYKSbTd/NVBRERGxkCbiMLCXWeOdktEUjO0aK3naNsifx3t/BL//Oz2raJ1HgmRucgrOFRUm/daSkRkZAy0iSgs5Ax0iwPtCJijLd/Yap7RtstdxyN3jnZhub/sNSnGofNIiMzFxYw2EZGmGGgTUVio1wzNGvR8ZhT+ZmiReyN9yi0H2lE6j4TIXOQ52m4T97sgIjIyBtpEFBZlHnXmJcuBupmboYV9jnYEl47LGe1WLrvOIyEyF1cEVAcRERkZA20iCgu1MtpyuaOZm6FVhC3Qjuw52tVeH0or/edBUgwDbaJQMKNNRKQtBtpEFBZqNUNTMtomDrTl9yI6SttmaNFKoB2Zc7TlsnGLBMQ7WTpOFAp56kp5BC//R0SkJwbaRBQWcul4y5uh1WZhTFzuKGe05deilUgvHT9VXg3AXzZusUg6j4bIXOQVHNwm/tCSiMjIGGgTUVjIGegYFedoCyFaPC49uKvDUzruiJKX74nMQFuZn82ycaKQueQPLZnRJiLSBANtIgoLtZf38gnzBpByNl7rdbSjI3yOtlw63srFsnGiUMkZbZaOExFpg4E2EYWFPC+5pc3Q5OARMGdDtBqvD1Ve/5xpV1S4mqFF5hxtdhwnaj4Xm6EREWmqWYH2vHnzkJmZCafTicGDB2PDhg2N7j937lz06NED0dHRyMjIwIMPPojKyspmDZiIzKlcpTnaFosU6JZrwnna7jrZZc3X0Y74OdryGtoMtIlCFcPlvYiINBVyoL1kyRJMnToVM2fOxA8//IB+/fohJycHBQUFDe7/zjvv4LHHHsPMmTOxfft2vP7661iyZAn+8pe/tHjwRGQecvZZjXnJ8g2iGTPaciM0iwQ4bNoWFUV66Xihm3O0iZqLGW0iIm2FfJc3Z84c3HHHHZg4cSJ69+6NBQsWwOVyYeHChQ3uv27dOgwdOhR//OMfkZmZiZEjR+LGG288YxaciCKLWuto130OMy7x5VbW0LZBkrTtlB3ppeNKRpul40Qhc3GONhGRpkIKtKuqqrBp0yaMGDEi8AQWC0aMGIHc3NwGHzNkyBBs2rRJCaz37t2LZcuW4fLLL2/BsInITHw+oQSYLS0dBwLdcstNmIlR1tDWuGwcqFM6XhOZN9KF7trlvZjRJgqZPAWnwoTXUSIiMwjpjvfEiRPwer1ITU0N2p6amoodO3Y0+Jg//vGPOHHiBC688EIIIVBTU4O77rqr0dJxj8cDj8ejfF9SUhLKMInIYOrOS1Yjo610yzXh3MKKqvAs7QUEMtoVEZqxCszRZtdxolC5OEebiEhTmncdX7NmDZ5++mm89NJL+OGHH/Cf//wHn332GZ566qnTPmb27NlISEhQvjIyMrQeJhFpSC7xtkiBLGtLRELpeLTGHceBQKDtqfGZds3xxgSW92JGmyhUMZyjTUSkqZDueNu0aQOr1Yr8/Pyg7fn5+UhLS2vwMY8//jhuvvlm3H777TjnnHNw9dVX4+mnn8bs2bPh8zU8b3DatGkoLi5Wvg4dOhTKMInIYJQ1tFWal2zmZmhuHTLagD/YjjTsOk7UfEpGO0IrXoiI9BZSoG2325GVlYWVK1cq23w+H1auXIns7OwGH+N2u2GxBB/GavXf/J0uw+JwOBAfHx/0RUTm5VZpaS9ZjDxH24QljxXVcvd1dd6LxjjrdDWPtPLxymqvEiBwjjZR6OSMdlWND9XeyPsgjohIbyHf6U2dOhUTJkzAwIEDMWjQIMydOxfl5eWYOHEiAGD8+PFIT0/H7NmzAQBjxozBnDlzMGDAAAwePBi7d+/G448/jjFjxigBNxFFNiWj7VDn37wyR9uEJY/hzGjbrBZEWSVUe0XENUQrqm2EZrNIiFPpAxyis0ndD/vcVV4kRGs+m5CI6KwS8t3JuHHjcPz4ccyYMQN5eXno378/li9frjRIO3jwYFAGe/r06ZAkCdOnT8eRI0eQnJyMMWPG4H//93/VexVEZGhqLu0FBDLjZpyjHc5maADgtFlR7a2JuCW+CssDa2hrvUwaUSSy2yywWSTU+ATcVTVIiGZTQSIiNTXrrnfKlCmYMmVKgz9bs2ZN8AFsNsycORMzZ85szqGIKALImWe1yqXN3AxNLnePDkPpOAA47VaUemoirnRcboTGNbSJms9lt6KkskaptCEiIvWwToiINBcoHVc3o11mwjnabmWOdpgy2hG6lrac0U50MQtH1FzytdRtwmspEZHRMdAmIs3JN3Gxas3RVpqhmS+jrUfpOOBvHhZJlIw2G6ERNZt8HTJjvwsiIqNjoE1EmlM9o11bdm3G9V+VdbTDFGjLx4m0QLvuHG0iah4lo23CaykRkdEx0CYizZVrVjpuvptDJaMdFe6MdmQ1Q1PW0OYcbaJmUzLaLB0nIlIdA20i0pxclhijejM0890culVuDHcmDnmOdqRltGuX92JGm6j5XCauDiIiMjoG2kSkOTkgVmsdbZeJ52iHvXS8NnNeEWGBtpLRjmEzNKLmYkabiEg7DLSJSHNqr6OtZLSraiCEUOU5w0UOeMPXdTwyS8eVOdosHSdqNrnKKNI+iCMiMgIG2kSkOa2W9/IJ8wWQ4c5oOyO0dJxdx4lazszVQURERsdAm4g0p8zRVqt0vE4jMbM1RAss7xWeOdrRUZHXdVwIwYw2kQoCKzhEzvWBiMgoGGgTkebkdbTVaoZmsUiIsZszExNohhbu0vHIuZGuqPbCU+OvZGBGm6j5mNEmItIOA20i0pzapeMA4DLpEl/uqvDO0XZE4BztU7Udx+02S9jeR6JIxIw2EZF2GGgTkebUboZW97nMdIPo9QklExvu0vFIanZUdw1tSZJ0Hg2Recm9Isq5vBcRkeoYaBORpnw+gXI5i6vSHG0gMN/bTCWPddeqDV/peOQ1Q1PmZ7NsnKhFlIw2l/ciIlIdA20i0lTdTKqaGW35BtFMpeNyIzRJAhy28Fx+I3F5L7njeCsX19Amagn5w093tXmuo0REZsFAm4g0JWecLVKgjFkN8nxvc2W0azP7UdawlTxHYtdxZrSJ1MGMNhGRdhhoE5GmlEZodpuqwaUSaJtojnZgDe3wzM8GIrN0vO4cbSJqPhfnaBMRaYaBNhFpqtyj/vxsAIg14RztiurwLu0F1Ok6XhM5gXahmxltIjXIH1gyo01EpD4G2kSkKS2W9gICJY9mCrTDvbQXADhttV3HTZT5P5NT5f7lvZI4R5uoRepmtIUQOo+GiCiyMNAmIk3JnbbVbIQGBAJ3MzVDC5SOhy/Qlo8VSc3QOEebSB1yoO0TUJYeJCIidTDQJiJN1Z2jrSZ5eS8zraNdoUdGu3aOtieCSsflruNJDLSJWsRV57pspuogIiIzYKBNRJqS52irXjpu5ox2VBiboUVg6biS0WYzNKIWsVok5cM4M31oSURkBgy0iUhT5cocbbWboZlxjnb4m6EppeMRUhYqhGBGm0hFyhJfDLSJiFTFQJuINCUvG8NmaIGsstofOjRGzmh7fQLVXvMH22WeGlR7/U2bmNEmajl5RQgu8UVEpC4G2kSkKTkQVrsZmnxzaKbS8XIdSscdUYHLfEUErKUtdxyPjrKGtakcUaRSMtpc4ouISFUMtIlIU2XyHG2Vm6HJgbuZyh0rdCgdd9gskCT/f1dGQKBdyLJxIlVF25nRJiLSAgNtItKUVnO0Td0MLYyBtiRJSvm4JwKW+JLnZydyDW0iVQTmaJvnWkpEZAYMtIlIU26N5mjXbYYmhFD1ubXirg7/8l5AYImvyCgdZ0abSE3y9chM1UFERGbAQJuINKWso63R8l4+AVSaJFOrxzragH8+MxAhpeNc2otIVfK1lHO0iYjUxUCbiDQlr6Mdq3LpuCsq8HxmmVsoZ/ejVZ6vfiZOJdA2xwcSjeHSXkTqcnGONhGRJhhoE5Gm5DnaLpWDS4tFCtwgmmSetpLRjgpvRttRe7xIKB0vrO06zow2kTpiTNhYkojIDBhoE5Gm5CyJ2st7AeZriObWrXTcf6mPhNLxwBxtNkMjUoPZPrAkIjKLZgXa8+bNQ2ZmJpxOJwYPHowNGzY0un9RUREmT56Mtm3bwuFwoHv37li2bFmzBkxE5iKXjqs9Rxuo2xDNHAGkHl3Hgbql4+Z4nxojL+/ViqXjRKpgMzQiIm2EfOe7ZMkSTJ06FQsWLMDgwYMxd+5c5OTkYOfOnUhJSam3f1VVFS677DKkpKTggw8+QHp6Og4cOIDExEQ1xk9EBiaEUDLaai/vBZgvE1OhdB3Xa462+W+ki+TlvaIZaBOpQb4emeU6SkRkFiHf7c2ZMwd33HEHJk6cCABYsGABPvvsMyxcuBCPPfZYvf0XLlyIwsJCrFu3DlFR/lK/zMzMlo2aiEzBXeWFvPKWlqXjZmniIzdD06/ruPmboRVX+Odocx1tInXIH4JGQg8HIiIjCal0vKqqCps2bcKIESMCT2CxYMSIEcjNzW3wMZ988gmys7MxefJkpKamom/fvnj66afh9fKCThTp5AyJJAWCPTXVXUvb6Lw+oQS64Q60HRE0R7vI7Q+0E6IZaBOpgRltIiJthJRiOnHiBLxeL1JTU4O2p6amYseOHQ0+Zu/evVi1ahVuuukmLFu2DLt378Y999yD6upqzJw5s8HHeDweeDwe5fuSkpJQhklEBlFeO+cvxm6DJEmqP3+gGZrxA8i62SK9SsfNnrGqrPbCU+P/sCKBGW0iVcTY2XWciEgLmncd9/l8SElJwSuvvIKsrCyMGzcO//M//4MFCxac9jGzZ89GQkKC8pWRkaH1MIlIA3KGRIv52QAQY6I52nLZuCQBzqjwLvgQKaXjctm4RQJiw/xhBVGkcjm4jjYRkRZCuttr06YNrFYr8vPzg7bn5+cjLS2twce0bdsW3bt3h9UauNHu1asX8vLyUFVV1eBjpk2bhuLiYuXr0KFDoQyTiAyiTAm0tQmKzDRHW15DOzrKqkl2vzHOCCkdlwPthOgoWCzhfQ+JIpXSddwElUFERGYSUqBtt9uRlZWFlStXKtt8Ph9WrlyJ7OzsBh8zdOhQ7N69Gz5fIJPy66+/om3btrDbG+4a63A4EB8fH/RFROajZLQ1yj7GmGiOtl5raAOA0xYZXcfrBtpEpA75+myGDyyJiMwk5PrFqVOn4tVXX8Wbb76J7du34+6770Z5ebnShXz8+PGYNm2asv/dd9+NwsJC3H///fj111/x2Wef4emnn8bkyZPVexVEZEjKHG2NSsdj5ZJHE2Ri9FpDu+4xzR5oK43QXFzai0gtLntgaonXJ3QeDRFR5Ag5zTRu3DgcP34cM2bMQF5eHvr374/ly5crDdIOHjwIiyUQv2dkZOCLL77Agw8+iHPPPRfp6em4//778eijj6r3KojIkORMsxZLewF1m6EZPxMjl467osI/t9gRYXO0mdEmUk/dqT0V1V7NrtdERGebZl1Np0yZgilTpjT4szVr1tTblp2dje+++645hyIiEyvXeo620i3X+IG2PEY9MtpOm//DT7N3HS9y+/t6JDLQJlKNw2aBRQJ8AnB7ahhoExGpJLytb4norCJnmrVazsqMy3vpMUc7UkrHS5jRJlKdJEl15mmb+xpBRGQkDLSJSDPyvORYrZb3cphpeS8DNEOrMXfpeBEDbSJNuEx0LSUiMgsG2kSkGa2X94o1YdfxaB3Wf3bKc7RNnq2S52gnuhhoE6nJpUzDMfc1gojISBhoE5Fmyir9AXCcU5vASL45NEcztNoy+ig9Ssdr19GuMfdNtNx1PJ4ZbSJVyZU2XOKLiEg9DLSJSDOllf7AKE7jjLa7ygshjL0sjZ7LezkibB1tNkMjUpfSWNIE/S6IiMyCgTYRaUbONMc6tWqG5g8gvT4Bj8HnH7s1XlO8MXLpeIXJy0LZDI1IG/IcbTOs4EBEZBYMtIlIM6VK6bi2y3sBxi8fl29gterA3hil67jBP4w4kyJljrZd55EQRZYYztEmIlIdA20i0owcaGu1LqvFIgXmFho+0K4tHddhjra8jnZVjQ8+n7FL7E9HCKGUjjOjTaQuztEmIlIfA20i0oycZdYqow0EMsTlBp9bWKHn8l51gnuzNkQr89TAW/shAbuOE6lLvi5xjjYRkXoYaBORJoQQdQJt7QIjeY1uo2di9GyGFhRoV5uzfFzOZtttlqDXQ0Qt55KXSjT4dZSIyEwYaBORJiqqvUoGUqvScSCwRrfh52hXyxnt8M/Rtlok2K21S3yZtPO4vLQXy8aJ1BfDjDYRkeoYaBORJuQ1tC2StuXScqBt9BtEZR1tHTLaAOCI8l/uK0waaJdwaS8izcgfALpNen0gIjIiBtpEpImSOo3QJEnS7DgxJmnio2fpOBAoHzdtRpuN0Ig0Iy876DZ4ZRARkZkw0CYiTYRjfjYQmFto9BtEPZuhAYFu52afo81GaETqU5pKGvwDSyIiM2GgTUSaKNN4aS9ZIKNt7EytnNF2RYV/jjYAOKPMPUdbDrTjmdEmUp2S0Tb4dZSIyEwYaBORJkor/YGRlkt7AXXmFho4E+PzCWVuNEvHm0duhpYYbdd5JESRJzpKXibRuNdRIiKzYaBNRJoorb1hi9U40JYzMUZeR7vu2tV6lY47I6R0nHO0idTHjDYRkfoYaBORJsJVOm6GjHbdDwGidVoDWg60zdp1vLiiCgCQEK1P6T1RJFPmaDOjTUSkGgbaRKSJ0srwNEMzwxxtuRFadJQVFot2Hdgb47RFxhztRBdLx4nUJme0zfpBHBGRETHQJiJNlHnCNEfbYfxMjLta3zW0gcDccLMG2vIcbZaOE6lPzmhXewWqasw5vYSIyGgYaBORJuTlvbTvOi4v72XcAFLvNbQBwGkzd6CtzNHm8l5Eqqv7IaCRp+EQEZkJA20i0kSJUjqudUZbLh037s2h3mtoA3WX9zJntorN0Ii0E2W1wF47vcTI03CIiMyEgTYRaSJczdDk5zdyt9xARlu/Rl5OE5eOe31CmfOfyECbSBPyB4FuA0/DISIyEwbaRKQJuXRc62Zo8s2hoedo12bbXTp1HAcCpeNmbHZUUpvNBoB4BtpEmpCn4ZQZ+FpKRGQmDLSJSBOlleFphqbM0TZwRtsYpePmXUe7qDbQjnXYEGXlny0iLcQqjSWNey0lIjIT3rEQkSbCto52nTnaQghNj9VcRmiGFi3P0a4x300052cTaS++do36ksrqM+xJRERNwUCbiDRR6glPMzQ5oy2EcbO1cul4jI5ztOUgv8LAmf/TKXJXAWDZOJGW4mun+dSdqkFERM3HQJuIVOfzicDyXhoH2tF15j0btfN4WW0pZozG2f3GxDr8N9FypYGZyBltNkIj0o78QRYz2kRE6mCgTUSqc1d7IVdxxzm0DY4sFqlOt1xjZmvLlTXF9SsdlysLzHgTzdJxIu3Fy9eICvN9GEdEZEQMtIlIdXIjNJtFUtZv1pKrtiTbqBltOdDWM6MtB9qlZsxou2sz2i4G2kRaYUabiEhdDLSJSHVKIzSnDZIkaX68GIexl/gqM0Sg7b+JLjXhTTQz2kTa4xxtIiJ1NSvQnjdvHjIzM+F0OjF48GBs2LChSY979913IUkSxo4d25zDEpFJlHrC03FcFshoG7R0vCq870dD5LLQMo9xu7Ofjry8VwIz2kSaCXQdN+YHlkREZhNyoL1kyRJMnToVM2fOxA8//IB+/fohJycHBQUFjT5u//79ePjhh3HRRRc1e7BEZA5yebKcRdVajDJH25g3iEZohib/LnzCuB9InA4z2kTaY0abiEhdIQfac+bMwR133IGJEyeid+/eWLBgAVwuFxYuXHjax3i9Xtx0002YNWsWOnfu3KIBE5HxyaXjceHKaDsMntFWSsf1a4bmjLLAZvGX8ZutfFyeo81Am0g7nKNNRKSukALtqqoqbNq0CSNGjAg8gcWCESNGIDc397SPe/LJJ5GSkoLbbrut+SMlItMo8/hv1LRe2ksmd/N2G7wZmp6l45IkmbYhWmB5L7vOIyGKXIGMtrmuD0RERhXSXd+JEyfg9XqRmpoatD01NRU7duxo8DFr167F66+/ji1btjT5OB6PBx6PR/m+pKQklGESkc4CpeNhnqNt0OW9jNAMDfCXj59yV5suo11UUQWAGW0iLQXmaJvr+kBEZFSadh0vLS3FzTffjFdffRVt2rRp8uNmz56NhIQE5SsjI0PDURKR2uRAO1wZXGWOtgEz2kKIQOm4Xd9AW/59mK3ZkZLRZjM0Is3IGW13lRfVXp/OoyEiMr+Q7vratGkDq9WK/Pz8oO35+flIS0urt/+ePXuwf/9+jBkzRtnm8/kv3jabDTt37kSXLl3qPW7atGmYOnWq8n1JSQmDbSITkTO44SodV+ZoGzCjXVntg6+2ybeec7QBc66lXVntRWW1/+9GPDPaRJqpW4FUWlmDpBhO1SAiaomQMtp2ux1ZWVlYuXKlss3n82HlypXIzs6ut3/Pnj2xdetWbNmyRfm68sorcfHFF2PLli2nDZ4dDgfi4+ODvojIPOTS5Phwdx03YEa7rE4ndL0z2mZcS1vugGyRwtdcj+hsZLNalGspO48TEbVcyHctU6dOxYQJEzBw4EAMGjQIc+fORXl5OSZOnAgAGD9+PNLT0zF79mw4nU707ds36PGJiYkAUG87EUWOMq6jrZDLxl12Kyy1Xb/1Em/CjLZcNh4fHaX7+0cU6eKjo1Be5eU8bSIiFYR8Fzxu3DgcP34cM2bMQF5eHvr374/ly5crDdIOHjwIi0XTqd9EZHBhn6PtMO462kZphAbULR03z010kdJxnGXjRFqLd0bhWHElO48TEamgWXd+U6ZMwZQpUxr82Zo1axp97KJFi5pzSCIyEd26jhuwdNxdm2XXc2kvWaB03Hjv0+lwDW2i8GHncSIi9TD1TESqC3czNDmjbcRmaErHcZ0boQHmbIZWVKd0nIi0FVhLm4E2EVFLMdAmItWV1QZy4WqGZuSMdplBlvYCzNkMLbC0FzsgE2lN/kCLGW0iopZjoE1EqpMDufCto+0/jtvAGW1jlI6bL6Nd7K4CACRE6//+EUU6uWEi52gTEbUcA20iUpXXJ5Tu32EvHTdyRpuBdrMoGe1oZrSJtMaMNhGRehhoE5Gq6ga74WqGJgex7iovhBBhOWZTyfPGjRFo15aOe8xzEy0H2myGRqQ9ztEmIlIPA20iUpWcLbVbLXDYwtMAzGX3H8frE/DU+MJyzKaSP3iINUAzNDOuoy03Q0twMdAm0lqg67h5rhFEREbFQJuIVCU3QgtX2TgQaIYGBJbTMgpjlY4HlvcyWub/dJjRJgofZrSJiNTDQJuIVFVWW5YcrrJxALBaJDij/JczufmYURixGZrXJ1BRbawPJE6H62gThQ/naBMRqYeBNhGpSi45DHdgqXQeN1hGu9xAGW2X3QqrRQJgnvJxZrSJwieQ0TbH9YGIyMgYaBORqsp0CrRdBu08bqTScUmSlN+LGdbS9vkETtUu79U6hl3HibSWwIw2EZFqGGgTkarkTKk8HzhcjLqWttx13AjN0IBA+bgZmh0VVVTDVzuVvBUDbSLNyc3Q3FVeVHuN1ViSiMhsGGgTkar0mKMNBDqPlxl0jnaMXf+MNhDcEM3oTpZ5APi7pUdZ+eeKSGt1K5HMcI0gIjIy3rkQkar0Kh0PrKVtrJtDI5WOA4EPQMxQOn6y3F823ibWofNIiM4ONqtFuXaz8zgRUcsw0CYiVZUopeP6ZLTLDdoMzQhdxwFzraVdWBtoJ7FsnChs4pXpJQy0iYhagoE2EalKzuCGcx1toE5G20Cl4z6fUAJ/l2HmaMul48a/iT7JQJso7OQlvoqZ0SYiahEG2kSkKrl0PE6n5b2MlNF211mr2igZ7TgzZbTLajuOxzLQJgoXLvFFRKQOBtpEpKpSpRlaeLuOyxljI2W05bJxiwRERxklo22iQLvc3wyNGW2i8JE7j7N0nIioZRhoE5GqdGuGZsCMdlmdjuOSJOk8Gj/5AxAz3ESfUErH2QyNKFwCGW3jXyOIiIyMgTYRqarUo28zNCN1HS83WMdxwGQZ7TK56zgz2kThIs/RNsOHcURERsZAm4hUJQdwejVDK/cYMKNtkEZogLmaobHrOFH4KV3HOUebiKhFGGgTkaoCzdDCPEfbgBltd23Qb5RGaIC5MtrsOk4UfsxoExGpg4E2EammxutDRW2n7XCXjhtxjnZ5lfFKx82yjrbPJ3DKXdt1nHO0icKGc7SJiNTBQJuIVFNWp+N3uINLuet4uYG6jpcZco62OUrHSyqr4fUJAECrmPBWRxCdzQJdx41zLSUiMiMG2kSkGjlL6rBZYLeF9/IiZ7SNuLyXUUvHhRA6j+b0TtQ2Qotz2OCwGWeOO1GkY0abiEgdDLSJSDVlSsfx8Gcg5YZjRiodL6udo23EZmg1PoHKap/Oozk9uRFaa3YcJworztEmIlIHA20iUo2c0Q73/GwgUJ5tpGZoRlzeK8ZuhaV2SW8jl48XlnsAsBEaUbgFMtrGuZYSEZkRA20iUk2Zxx+46VEq7aotHa/2ClTVGCNTq5SO240TaEuSpPx+jDwHM9BxnI3QiMJJnqNdUe01zLWUiMiMGGgTkWr0zGjLy3sBxslqG7EZGmCOhmiFZXLHcWa0icKp7gelRr5GEBEZHQNtIlKNHGjrkdGOsgYasBllnrYRm6EB5lhLW8loc442UVjZrBZTVL0QERkdA20iUo2cwY3VIaMN+OcfA8bpPF6uNEMzVqAdr2S0jfE+NUQOtJnRJgq/+NprODuPExE1HwNtIlJNWW3gFq9D13EgME/bKBntQOm4cbqOA4GMtjyn3ojkZmjsOk4Ufuw8TkTUcs0KtOfNm4fMzEw4nU4MHjwYGzZsOO2+r776Ki666CK0atUKrVq1wogRIxrdn4jMS57Pp1eptBzQGiajXcXS8eY6WcZmaER6YedxIqKWCznQXrJkCaZOnYqZM2fihx9+QL9+/ZCTk4OCgoIG91+zZg1uvPFGrF69Grm5ucjIyMDIkSNx5MiRFg+eiIylVOfScaNltI24vBcQaIZm5PmXhSwdJ9KN3HmcGW0iouYLOdCeM2cO7rjjDkycOBG9e/fGggUL4HK5sHDhwgb3X7x4Me655x70798fPXv2xGuvvQafz4eVK1e2ePBEZCxlOnYdB+pktA3Wddy4GW1j3kQLIXDKLWe0GWgThVsgo23MawQRkRmEFGhXVVVh06ZNGDFiROAJLBaMGDECubm5TXoOt9uN6upqJCUlhTZSIjK8glL/vNoklz7BkZzRLjNA6XiN14fKav8atHWXHjOCOIM3QyuprEG1VwBgoE2kB87RJiJquZDSLCdOnIDX60VqamrQ9tTUVOzYsaNJz/Hoo4+iXbt2QcH6b3k8Hng8HuX7kpKSUIZJRDoQQmDv8TIAQKfkGF3GEOg6rn/peN3ydaOVjscaPKN9ssx//Y+xW+GMMtaHFERng0DXcWN+GEdEZAZh7Tr+17/+Fe+++y4++ugjOJ3O0+43e/ZsJCQkKF8ZGRlhHCURNccpd7Uy5zeztU6BtkOeo63/zaE8P9tmkeCwGWuBh3iDN0NT5mfHshEakR6Y0SYiarmQ7v7atGkDq9WK/Pz8oO35+flIS0tr9LHPPvss/vrXv+K///0vzj333Eb3nTZtGoqLi5WvQ4cOhTJMItLBvhP+bHZ6YrRuWUg50HYboBla3UZokiTpPJpgRu86Lq+hzbJxIn1wjjYRUcuFFGjb7XZkZWUFNTKTG5tlZ2ef9nF///vf8dRTT2H58uUYOHDgGY/jcDgQHx8f9EVExrb3eDkAoFMbfbLZQGAudLkB5mgbtREaUHeOtjFvotlxnEhfga7j+l9LiYjMKuQ7wKlTp2LChAkYOHAgBg0ahLlz56K8vBwTJ04EAIwfPx7p6emYPXs2AOBvf/sbZsyYgXfeeQeZmZnIy8sDAMTGxiI2NlbFl0JEetp3Qv9AO8ZupIy2fwxyJ3QjMXpGu5AZbSJdMaNNRNRyIQfa48aNw/HjxzFjxgzk5eWhf//+WL58udIg7eDBg7BYAony+fPno6qqCtddd13Q88ycORNPPPFEy0ZPRIZhhEDb5TBeRttojdAA43cdP1lWG2jHMtAm0gPnaBMRtVyz7gCnTJmCKVOmNPizNWvWBH2/f//+5hyCiExGCbR16jgOGCujLa/lbczScf+Yqrw+VFZ7DdfZ+2S5v+s4S8eJ9BHIaBvzwzgiIjMwVitcIjIln08ogXZnI8zRNlDXcTn4N5JYuw1yfzYjZrUDc7TZdZxID/Ic7YpqL6pqfDqPhojInBhoE1GLHSuphKfGhyirhPTEaN3GoXQdN8A62mXKHG3jBdoWi4RYu3HX0mbpOJG+6lbiGPEaQURkBgy0iajF9tV2HO+Q5ILNqt9lxYgZ7VgDNkMDjN0QjV3HifRls1qUYJudx4mImoeBNhG1mLyGdqc2+q4kIGeP2QztzIzaEE0Iwa7jRAYQX/thHDuPExE1DwNtImqxvfL8bB0boQF1M9r6l46XGz7QNmbpeJmnBlVe/5xQztEm0g87jxMRtQwDbSJqMSMs7QUEGo9V1fhQ7dW3gU+5gbuOA8YtHZfnZ0dHWRFtN2bZPdHZQO48XsyMNhFRszDQJqIWM0ygXSeo1XuJLyM3QwMCpeNGy1adlOdnsxEaka5SE5wAgEOFFTqPhIjInBhoE1GLVNX4cKjQDUDfpb0AwG6zIMrqX7fKrXNDNDZDax42QiMyhp5pcQCAHXklOo+EiMicGGgTUYscLHTDJ4AYuxXJcfrPqXXZ5YZo+ma0jT9H25jN0ArLPQDYCI1Ib0qgfaxU55EQEZkTA20iahGlbDw5BpIk6Twaf8AP6J/RNn7XcWM2QzupdBzX/0MborNZz7bxAIA9x8tQVaNvzwsiIjNioE1ELWKUpb1kLoexMtpGbYYWb9TS8TLO0SYygnYJTsQ5bajxCew5Xqb3cIiITIeBNhG1iFEaocmMktEuN0kztFKPUTPaDLSJ9CRJEnql+bPanKdNRBQ6BtpE1CJ7j9euoW2QQFuZo61j1/GqGp+yFnSMQZeoMmoztJNshkZkGD3bcp42EVFzMdAmohYxXEa7tsu326NfAFle59hGzWi3TYgGAOwpKIOnRt8y+7rkZmgsHSfSX8/ajPb2PAbaREShYqBNRM1W5qlBQak/MMo0SKCd6PIHaPklHt3GIDdC8y83ZszLbM+0OKTEOVBe5cX6vYV6D0chz9FmMzQi/fWo7Ty+k6XjREQhM+YdIBGZwv7abHabWDsSoqN0Ho1fr9pOuduOFus2hvIqYzdCAwCLRcKlvVIAACu35+s8Gj8hBEvHiQxEDrTzSzzKGvdERNQ0DLSJqNn2GqxsHAD6tqsNtI/oGGgrS3sZc3627NKeqQCAFdsLIITQeTRAcUU1PLXLCLEZGpH+Yh02dEhyAWBDNCKiUDHQJqJm23fceIF2n/QESBJwrLgSJ8r0KR8vkzuO242b0QaAoV3bwGGz4EhRBXbm6z8Hc+P+UwD8jfWMOred6GzTM40N0YiImoOBNhE1m9HW0Ab8GRg58Ncrq230NbRl0XYrhnZtAwBYub1A59EA3+09CQAY3Lm1ziMhIlnPtlzii4ioORhoE1Gz7TFgRhsA+rZLAAD8fFSfG8MypXTc2IE2AGWe9goDzNP+bp8/0L6gc5LOIyEiWU+lIRoz2kREoWCgTUTNcqjQjW1HiyFJwLntE/QeTpBz0v3j2XpYn4y22yQZbSAwT3vLoSLdSu0B//zsX2o/GBnciRltIqNQAu38Unh9+vdyICIyCwbaRNQsH/5wGEIAQ7u0QbvEaL2HE6RPur/UcatepeNVtXO0Dd4MDQDSEpzomx4PIYBVO/QrH9+4vxA+4a+OSEtw6jYOIgrWsXUMnFEWVFb7cOBkud7DISIyDQbaRBQyn0/g/Y2HAQB/GNhe59HU17c2o32kqAKndFiSxkyl40Agq63nMl/K/OxOLBsnMhKrRUKP1NqGaCwfJyJqMgbaRBSy3L0ncaSoAnFOG3L6pOk9nHrinVHIbO1fkkaP9bQLy/zBvRlKxwFgRC9/oP3NrhOorPbqMob1+woBABewERqR4fRMq22IdowN0YiImoqBNhGF7L2NhwAAV/VvB2eUMcuj+8jztMNcPl5V48OXtZnh8zq0Cuuxm6tvejxS4x1wV3mVzHI4lVRWKx3iB7MRGpHh9Kidp72dGW0ioiZjoE1EISmuqMbybXkAgOsHZug8mtOTG6L9fCS8GZg1OwtQWF6F5DgHLurWJqzHbi5JknCJUj4e/nna8vzszNYutE0w1nx/IgJ6tmXncSKiUDHQJqKQfPrjUXhqfOiRGqcEs0YkL/EV7oz2hz/4565fPSAdNqt5LrEjapf5+vKXfFTV+MJ67PV7/WXj7DZOZExy6fjBQrfSg4KIiBpnnrtAIjKE92vLxv8wsD0kSdJ5NKfXNz1wY1jsrg7LMQvLq5TO3deeZ7wmcY0Z2rUN2sQ6kFdSibdy94f12HK5+gVdWDZOZERJMXakxjsAMKtNRNRUDLSJqMl25JXgx8PFsFkkXD0gXe/hNCrRZUdGkr8M+ecwNUT7ZMsRVHsFzklPUOY0moUzyopHcnoAAF5YuQsnw7SmdmlltVJ1wIw2kXHJWe2th4v0HQgRkUkw0CaiJpOX9BrRKxWtYx06j+bMwl0+/kFt2fh1WebKZsuuzWqPPu3iUVpZg+dX/BqWY27cfwo+AXRIchluPXYiCpAbFc5bs0eXZROJiMyGgTYRNcm+E+VBZeNmIK+nve2o9g3RduSVYNuREkRZJVzZr53mx9OC1SLh8d/3BgC8s/5gWEpEv9tXWzbObuNEhnbr0E7omhKL46UezPjkZ72HQ0RkeM0KtOfNm4fMzEw4nU4MHjwYGzZsaHT/999/Hz179oTT6cQ555yDZcuWNWuwRKSP/JJK3Pz6epRU1uCc9AQM656s95CaRAm0w5DR/nCTP5t9ac9UtIqxa348rVzQuTVG902DTwBP/d8vEEJoerzv9nL9bCIzcEZZ8dwf+sFqkfDpj0fxfz8d1XtIRESGFnKgvWTJEkydOhUzZ87EDz/8gH79+iEnJwcFBQ0vCbNu3TrceOONuO2227B582aMHTsWY8eOxbZt21o8eCLSXnFFNSYs3IDDpyqQ2dqFhbecb5pu2nJX9H0nylFaqV1DtBqvDx9t9t90XmvSsvG6po3uBbvVgrW7TyjN3bSw9XBxnfWzGWgTGV2/jERMHt4FAPD40m0oKK3UeURERMYV8t3ynDlzcMcdd2DixIno3bs3FixYAJfLhYULFza4/wsvvIBRo0bhz3/+M3r16oWnnnoK5513Hl588cUWD56ItFVZ7cXtb36PHXmlSI5z4O3bBiM5zvhzs2VJMXakJ8oN0bQrH1+z8zhOlHnQOsaO4T3Mke1vTIfWLtx6YScAwPSl2/DGt/tQUKLeDXVecSUeeu9HXDlvLbw+gd5t45XfExEZ25RLuqF323icclfjL//ZpnnVCxGRWdlC2bmqqgqbNm3CtGnTlG0WiwUjRoxAbm5ug4/Jzc3F1KlTg7bl5ORg6dKlIQ923Z4TiIkNTyfcsx3/bobfmd7yptzMnHGPM+wgIFDkrkZBqQfHSz3YdOAUthwqQpzThrduHYSMJNcZx2A0fdrF40hRBWZ9+gv6ZySifatopCdGwxl1ps8ZG1+67HiZB1sOFmHLoVPYc7wcAHBV/3REmSTbfyaTL+6CT388qrx3T/3fL7igc2v8rnsyoqOssFok2CyS//+tEqwWC2wWCRZJQt1V34QAPDVeVFZ7UVntw+FTbvzru4OoqPYCAK7q3w6Pje6p06skolDZbRbMGdcPY/65Fiu252PcK9+hS3IsOiS5kJEUjRh7A7eWDVxOG7rCNrRk5G+3nG5VSSECf+KEEIE/d8L/t03ZRyiblb+rPgF4fQI1Pl/t/4vA/3t98IrAWCRJ/n8JltoNge1SnZ/7v0ed/eXtda+TUiOPb8yZbglCuY0LHE8Ken1Br7l2fF6fgFcI+Gr/3+sLfPmEgNeHwM99ApU1XpR7alDu8aK0ssb/31U1KPP4/9tT40OU1QK71YIomwVOmwVJMXYkxdjROsaOVjF2uOxWOGxWOKMssNsssDRhadGmLj/alL2a8lRSk56JzKi8rPn9akIKtE+cOAGv14vU1NSg7ampqdixY0eDj8nLy2tw/7y8vNMex+PxwOMJBNQlJf5M1J1vbYLFYb4bfSIzc9gseH3C+ejVNl7voTTL0K5t8N9f8rH9WAm2H9Muq90tJRa3DMnU7PnDLc4ZhU/vvRBLNx/Bpz8dxeaDRVi35yTW7TmpyvNndWyF6Vf0woAOrVR5PiIKn55p8Xgkpyf+d9l2bNhXiA37CvUeEhGRJnwed7MfG1KgHS6zZ8/GrFmz6m3vkRYHmzNGhxERhceZPg9t0qeqZ9jnTJ+6xkfbkBLnREqcA8lxDgzrnoxuqeZaE7qu8dkd0addPPaeKMeRUxU4fKoCR4sqUOPznfYxTanoiHHY0K99Avp3SES/9ommWO4sVEkxdtx6YSfcemEnHCp049OfjmLHsdI6mR/A6/MFZ398cuYo8CY6bFa47FY47Va4oqy4pGcKRvVNa3LGgYiM547fdUZ2l9bYkVeKg4VuHDxZjkOnKlBVU//aKk6TXz3dtbah7ae7LAsh6mVfgToZZeW/ofxAAoK2S5IUXKVjCVTpWK2SkkFVMuW1WXIhAJ8QSjZd1P4w8L1QttfNoAc/LrA/fvP96a6Qp7t0nvbve2OX2t8cs241QGBcgddhsUiwSv5VKiy171vd//b/f+DnDpsVcU4bYhxWxDqiEOuwIsZhQ2ztlyPKgqoagSqvD9U1PrirvThVXoWT5VUoLPfglLsalVVeeGp8/sqoGu+Zs/lNTOc3ZTdOjaCaSgsONfOxIQXabdq0gdVqRX5+ftD2/Px8pKWlNfiYtLS0kPYHgGnTpgWVm5eUlCAjIwMf3j0E8fHmzKoRkT4kScLAzCQMzOTyUS2RkeTCPcO76j0MIjKQvukJyuoORESRqKSkBAnTzrxfQ0KaTGi325GVlYWVK1cq23w+H1auXIns7OwGH5OdnR20PwB8+eWXp90fABwOB+Lj44O+iIiIiIiIiMwg5NLxqVOnYsKECRg4cCAGDRqEuXPnory8HBMnTgQAjB8/Hunp6Zg9ezYA4P7778ewYcPw3HPP4YorrsC7776LjRs34pVXXlH3lRAREREREREZQMiB9rhx43D8+HHMmDEDeXl56N+/P5YvX640PDt48CAslkCifMiQIXjnnXcwffp0/OUvf0G3bt2wdOlS9O3bV71XQURERERERGQQkjDBLP+SkhIkJCSguLiYZeRERERERESkuZbEoZGx4CsRERERERGRQTDQJiIiIiIiIlIRA20iIiIiIiIiFYXcDE0P8jTykpISnUdCREREREREZwM5/mxOWzNTBNqlpaUAgIyMDJ1HQkRERERERGeT0tJSJCQkhPQYU3Qd9/l8OHr0KOLi4iBJUoP7nH/++fj+++/DPLLIU1JSgoyMDBw6dIgd3luI56Q6eE6qi+dly/GcVBfPSXXwvFQPz0l18JxUF8/LlmvOOSmEQGlpKdq1axe0hHVTmCKjbbFY0L59+0b3sVqt/Eesovj4eL6fLcRzUl08J9XB81I9PCfVwXNSXTwvW47npLp4TqqD56V6Qj0nQ81kyyKmGdrkyZP1HgJREJ6TZEQ8L8loeE6S0fCcJCPieWk+pigdp/BpyaLsRFrgOUlGw3OSjIjnJRkNz0kymnCfkxGT0SZ1OBwOzJw5Ew6HQ++hEAHgOUnGw3OSjIjnJRkNz0kymnCfk8xoExEREREREamIGW0iIiIiIiIiFTHQJiIiIiIiIlIRA20iIiIiIiIiFTHQJiIiIiIiIlIRA+0I9PXXX2PMmDFo164dJEnC0qVLg36en5+PW265Be3atYPL5cKoUaOwa9eues+Tm5uLSy65BDExMYiPj8fvfvc7VFRUKD8vLCzETTfdhPj4eCQmJuK2225DWVmZ1i+PTKil5+T+/fshSVKDX++//76y38GDB3HFFVfA5XIhJSUFf/7zn1FTUxOul0kmosZ1Mi8vDzfffDPS0tIQExOD8847Dx9++GHQPrxOUijUOC/37NmDq6++GsnJyYiPj8f111+P/Pz8oH14XlJTzJ49G+effz7i4uKQkpKCsWPHYufOnUH7VFZWYvLkyWjdujViY2Nx7bXX1jvfmvK3ec2aNTjvvPPgcDjQtWtXLFq0SOuXRyal1nl53333ISsrCw6HA/3792/wWD/99BMuuugiOJ1OZGRk4O9//3tIY2WgHYHKy8vRr18/zJs3r97PhBAYO3Ys9u7di48//hibN29Gx44dMWLECJSXlyv75ebmYtSoURg5ciQ2bNiA77//HlOmTIHFEjhlbrrpJvz888/48ssv8X//93/4+uuvceedd4blNZK5tPSczMjIwLFjx4K+Zs2ahdjYWIwePRoA4PV6ccUVV6Cqqgrr1q3Dm2++iUWLFmHGjBlhfa1kDmpcJ8ePH4+dO3fik08+wdatW3HNNdfg+uuvx+bNm5V9eJ2kULT0vCwvL8fIkSMhSRJWrVqFb7/9FlVVVRgzZgx8Pp/yXDwvqSm++uorTJ48Gd999x2+/PJLVFdXY+TIkUHXwQcffBCffvop3n//fXz11Vc4evQorrnmGuXnTfnbvG/fPlxxxRW4+OKLsWXLFjzwwAO4/fbb8cUXX4T19ZI5qHFeym699VaMGzeuweOUlJRg5MiR6NixIzZt2oRnnnkGTzzxBF555ZWmD1ZQRAMgPvroI+X7nTt3CgBi27Ztyjav1yuSk5PFq6++qmwbPHiwmD59+mmf95dffhEAxPfff69s+/zzz4UkSeLIkSPqvgiKKM09J3+rf//+4tZbb1W+X7ZsmbBYLCIvL0/ZNn/+fBEfHy88Ho+6L4IiSnPPyZiYGPHWW28FPVdSUpKyD6+T1BLNOS+/+OILYbFYRHFxsbJPUVGRkCRJfPnll0IInpfUfAUFBQKA+Oqrr4QQ/nMrKipKvP/++8o+27dvFwBEbm6uEKJpf5sfeeQR0adPn6BjjRs3TuTk5Gj9kigCNOe8rGvmzJmiX79+9ba/9NJLolWrVkH3kI8++qjo0aNHk8fGjPZZxuPxAACcTqeyzWKxwOFwYO3atQCAgoICrF+/HikpKRgyZAhSU1MxbNgw5eeAP+OdmJiIgQMHKttGjBgBi8WC9evXh+nVUCRoyjn5W5s2bcKWLVtw2223Kdtyc3NxzjnnIDU1VdmWk5ODkpIS/PzzzxqNniJRU8/JIUOGYMmSJSgsLITP58O7776LyspKDB8+HACvk6SuppyXHo8HkiTB4XAo+zidTlgsFmUfnpfUXMXFxQCApKQkAP6/xdXV1RgxYoSyT8+ePdGhQwfk5uYCaNrf5tzc3KDnkPeRn4OoMc05L5siNzcXv/vd72C325VtOTk52LlzJ06dOtWk52CgfZaRT7Rp06bh1KlTqKqqwt/+9jccPnwYx44dAwDs3bsXAPDEE0/gjjvuwPLly3Heeefh0ksvVeaC5eXlISUlJei5bTYbkpKSkJeXF94XRabWlHPyt15//XX06tULQ4YMUbbl5eUF/SEHoHzPc5JC0dRz8r333kN1dTVat24Nh8OBSZMm4aOPPkLXrl0B8DpJ6mrKeXnBBRcgJiYGjz76KNxuN8rLy/Hwww/D6/Uq+/C8pObw+Xx44IEHMHToUPTt2xeA/1yy2+1ITEwM2jc1NVU5l5ryt/l0+5SUlAT1BiL6reael02hxn0lA+2zTFRUFP7zn//g119/RVJSElwuF1avXo3Ro0cr86/leVyTJk3CxIkTMWDAADz//PPo0aMHFi5cqOfwKQI15Zysq6KiAu+8805QNptITU09Jx9//HEUFRVhxYoV2LhxI6ZOnYrrr78eW7du1XH0FKmacl4mJyfj/fffx6efforY2FgkJCSgqKgI5513XoPXU6Kmmjx5MrZt24Z3331X76EQKYx+Xtr0HgCFX1ZWFrZs2YLi4mJUVVUhOTkZgwcPVsrI2rZtCwDo3bt30ON69eqFgwcPAgDS0tJQUFAQ9POamhoUFhYiLS0tDK+CIsmZzsm6PvjgA7jdbowfPz5oe1paGjZs2BC0Te4wyXOSQnWmc3LPnj148cUXsW3bNvTp0wcA0K9fP3zzzTeYN28eFixYwOskqa4p18qRI0diz549OHHiBGw2GxITE5GWlobOnTsD4N9vCt2UKVOUpnnt27dXtqelpaGqqgpFRUVB2cP8/HzlXGrK3+a0tLR6HaHz8/MRHx+P6OhoLV4SRYCWnJdNcbrzUv5ZU/DjzbNYQkICkpOTsWvXLmzcuBFXXXUVACAzMxPt2rWr1yr/119/RceOHQEA2dnZKCoqwqZNm5Sfr1q1Cj6fD4MHDw7fi6CIcrpzsq7XX38dV155JZKTk4O2Z2dnY+vWrUE3kF9++SXi4+PrfWhE1FSnOyfdbjcA1MsSWq1WpSqI10nSSlOulW3atEFiYiJWrVqFgoICXHnllQB4XlLTCSEwZcoUfPTRR1i1ahU6deoU9POsrCxERUVh5cqVyradO3fi4MGDyM7OBtC0v83Z2dlBzyHvIz8HUV1qnJdNkZ2dja+//hrV1dXKti+//BI9evRAq1atmjxYijClpaVi8+bNYvPmzQKAmDNnjti8ebM4cOCAEEKI9957T6xevVrs2bNHLF26VHTs2FFcc801Qc/x/PPPi/j4ePH++++LXbt2ienTpwun0yl2796t7DNq1CgxYMAAsX79erF27VrRrVs3ceONN4b1tZI5qHFOCiHErl27hCRJ4vPPP6/3s5qaGtG3b18xcuRIsWXLFrF8+XKRnJwspk2bpvnrI/Np6TlZVVUlunbtKi666CKxfv16sXv3bvHss88KSZLEZ599puzH6ySFQo1r5cKFC0Vubq7YvXu3ePvtt0VSUpKYOnVq0D48L6kp7r77bpGQkCDWrFkjjh07pny53W5ln7vuukt06NBBrFq1SmzcuFFkZ2eL7Oxs5edN+du8d+9e4XK5xJ///Gexfft2MW/ePGG1WsXy5cvD+nrJHNQ4L4Xw31Nu3rxZTJo0SXTv3l259spdxouKikRqaqq4+eabxbZt28S7774rXC6XePnll5s8VgbaEWj16tUCQL2vCRMmCCGEeOGFF0T79u1FVFSU6NChg5g+fXqDyx/Nnj1btG/fXrhcLpGdnS2++eaboJ+fPHlS3HjjjSI2NlbEx8eLiRMnitLS0nC8RDIZtc7JadOmiYyMDOH1ehs8zv79+8Xo0aNFdHS0aNOmjXjooYdEdXW1li+NTEqNc/LXX38V11xzjUhJSREul0uce+659Zb74nWSQqHGefnoo4+K1NRUERUVJbp16yaee+454fP5gvbheUlN0dC5CEC88cYbyj4VFRXinnvuEa1atRIul0tcffXV4tixY0HP05S/zatXrxb9+/cXdrtddO7cOegYRHWpdV4OGzaswefZt2+fss+PP/4oLrzwQuFwOER6err461//GtJYpdoBExEREREREZEKOEebiIiIiIiISEUMtImIiIiIiIhUxECbiIiIiIiISEUMtImIiIiIiIhUxECbiIiIiIiISEUMtImIiIiIiIhUxECbiIiIiIiISEUMtImIiIiIiIhUxECbiIiIiIiISEUMtImIiIiIiIhUxECbiIiIiIiISEUMtImIiIiIiIhU9P8BaDmH4dYpdDYAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_fedfunds.smoothed_marginal_probabilities[1].plot(\n", " title=\"Probability of being in the high regime\", figsize=(12, 3)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the estimated transition matrix we can calculate the expected duration of a low regime versus a high regime." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:58.256307Z", "iopub.status.busy": "2023-12-14T14:44:58.255055Z", "iopub.status.idle": "2023-12-14T14:44:58.263231Z", "shell.execute_reply": "2023-12-14T14:44:58.262282Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[55.85400626 19.85506546]\n" ] } ], "source": [ "print(res_fedfunds.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A low regime is expected to persist for about fourteen years, whereas the high regime is expected to persist for only about five years." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Federal funds rate with switching intercept and lagged dependent variable\n", "\n", "The second example augments the previous model to include the lagged value of the federal funds rate.\n", "\n", "$$r_t = \\mu_{S_t} + r_{t-1} \\beta_{S_t} + \\varepsilon_t \\qquad \\varepsilon_t \\sim N(0, \\sigma^2)$$\n", "\n", "where $S_t \\in \\{0, 1\\}$, and the regime transitions according to\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00} & p_{10} \\\\\n", "1 - p_{00} & 1 - p_{10}\n", "\\end{bmatrix}\n", "$$\n", "\n", "We will estimate the parameters of this model by maximum likelihood: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\beta_0, \\beta_1, \\sigma^2$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:58.269139Z", "iopub.status.busy": "2023-12-14T14:44:58.267472Z", "iopub.status.idle": "2023-12-14T14:44:58.722456Z", "shell.execute_reply": "2023-12-14T14:44:58.721444Z" } }, "outputs": [], "source": [ "# Fit the model\n", "mod_fedfunds2 = sm.tsa.MarkovRegression(\n", " dta_fedfunds.iloc[1:], k_regimes=2, exog=dta_fedfunds.iloc[:-1]\n", ")\n", "res_fedfunds2 = mod_fedfunds2.fit()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:58.726829Z", "iopub.status.busy": "2023-12-14T14:44:58.726516Z", "iopub.status.idle": "2023-12-14T14:44:58.786784Z", "shell.execute_reply": "2023-12-14T14:44:58.785987Z" }, "jupyter": { "outputs_hidden": false } }, "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: y No. Observations: 225
Model: MarkovRegression Log Likelihood -264.711
Date: Thu, 14 Dec 2023 AIC 543.421
Time: 14:44:58 BIC 567.334
Sample: 10-01-1954 HQIC 553.073
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7245 0.289 2.510 0.012 0.159 1.290
x1 0.7631 0.034 22.629 0.000 0.697 0.829
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Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0989 0.118 -0.835 0.404 -0.331 0.133
x1 1.0612 0.019 57.351 0.000 1.025 1.097
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Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.4783 0.050 9.642 0.000 0.381 0.576
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Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.6378 0.120 5.304 0.000 0.402 0.874
p[1->0] 0.1306 0.050 2.634 0.008 0.033 0.228


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 225 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -264.711 \\\\\n", "\\textbf{Date:} & Thu, 14 Dec 2023 & \\textbf{ AIC } & 543.421 \\\\\n", "\\textbf{Time:} & 14:44:58 & \\textbf{ BIC } & 567.334 \\\\\n", "\\textbf{Sample:} & 10-01-1954 & \\textbf{ HQIC } & 553.073 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7245 & 0.289 & 2.510 & 0.012 & 0.159 & 1.290 \\\\\n", "\\textbf{x1} & 0.7631 & 0.034 & 22.629 & 0.000 & 0.697 & 0.829 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0989 & 0.118 & -0.835 & 0.404 & -0.331 & 0.133 \\\\\n", "\\textbf{x1} & 1.0612 & 0.019 & 57.351 & 0.000 & 1.025 & 1.097 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.4783 & 0.050 & 9.642 & 0.000 & 0.381 & 0.576 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.6378 & 0.120 & 5.304 & 0.000 & 0.402 & 0.874 \\\\\n", "\\textbf{p[1-$>$0]} & 0.1306 & 0.050 & 2.634 & 0.008 & 0.033 & 0.228 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 225\n", "Model: MarkovRegression Log Likelihood -264.711\n", "Date: Thu, 14 Dec 2023 AIC 543.421\n", "Time: 14:44:58 BIC 567.334\n", "Sample: 10-01-1954 HQIC 553.073\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7245 0.289 2.510 0.012 0.159 1.290\n", "x1 0.7631 0.034 22.629 0.000 0.697 0.829\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0989 0.118 -0.835 0.404 -0.331 0.133\n", "x1 1.0612 0.019 57.351 0.000 1.025 1.097\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.4783 0.050 9.642 0.000 0.381 0.576\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.6378 0.120 5.304 0.000 0.402 0.874\n", "p[1->0] 0.1306 0.050 2.634 0.008 0.033 0.228\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds2.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several things to notice from the summary output:\n", "\n", "1. The information criteria have decreased substantially, indicating that this model has a better fit than the previous model.\n", "2. The interpretation of the regimes, in terms of the intercept, have switched. Now the first regime has the higher intercept and the second regime has a lower intercept.\n", "\n", "Examining the smoothed probabilities of the high regime state, we now see quite a bit more variability." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:58.790537Z", "iopub.status.busy": "2023-12-14T14:44:58.790255Z", "iopub.status.idle": "2023-12-14T14:44:59.283814Z", "shell.execute_reply": "2023-12-14T14:44:59.283007Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_fedfunds2.smoothed_marginal_probabilities[0].plot(\n", " title=\"Probability of being in the high regime\", figsize=(12, 3)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the expected durations of each regime have decreased quite a bit." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:59.287908Z", "iopub.status.busy": "2023-12-14T14:44:59.287418Z", "iopub.status.idle": "2023-12-14T14:44:59.292101Z", "shell.execute_reply": "2023-12-14T14:44:59.291354Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2.76105188 7.65529154]\n" ] } ], "source": [ "print(res_fedfunds2.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Taylor rule with 2 or 3 regimes\n", "\n", "We now include two additional exogenous variables - a measure of the output gap and a measure of inflation - to estimate a switching Taylor-type rule with both 2 and 3 regimes to see which fits the data better.\n", "\n", "Because the models can be often difficult to estimate, for the 3-regime model we employ a search over starting parameters to improve results, specifying 20 random search repetitions." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:59.295771Z", "iopub.status.busy": "2023-12-14T14:44:59.295336Z", "iopub.status.idle": "2023-12-14T14:45:04.331602Z", "shell.execute_reply": "2023-12-14T14:45:04.330904Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Get the additional data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import ogap, inf\n", "\n", "dta_ogap = pd.Series(ogap, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\"))\n", "dta_inf = pd.Series(inf, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\"))\n", "\n", "exog = pd.concat((dta_fedfunds.shift(), dta_ogap, dta_inf), axis=1).iloc[4:]\n", "\n", "# Fit the 2-regime model\n", "mod_fedfunds3 = sm.tsa.MarkovRegression(dta_fedfunds.iloc[4:], k_regimes=2, exog=exog)\n", "res_fedfunds3 = mod_fedfunds3.fit()\n", "\n", "# Fit the 3-regime model\n", "np.random.seed(12345)\n", "mod_fedfunds4 = sm.tsa.MarkovRegression(dta_fedfunds.iloc[4:], k_regimes=3, exog=exog)\n", "res_fedfunds4 = mod_fedfunds4.fit(search_reps=20)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:04.335391Z", "iopub.status.busy": "2023-12-14T14:45:04.335008Z", "iopub.status.idle": "2023-12-14T14:45:04.403496Z", "shell.execute_reply": "2023-12-14T14:45:04.402499Z" }, "jupyter": { "outputs_hidden": false } }, "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: y No. Observations: 222
Model: MarkovRegression Log Likelihood -229.256
Date: Thu, 14 Dec 2023 AIC 480.512
Time: 14:45:04 BIC 517.942
Sample: 07-01-1955 HQIC 495.624
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.6555 0.137 4.771 0.000 0.386 0.925
x1 0.8314 0.033 24.951 0.000 0.766 0.897
x2 0.1355 0.029 4.609 0.000 0.078 0.193
x3 -0.0274 0.041 -0.671 0.502 -0.107 0.053
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0945 0.128 -0.739 0.460 -0.345 0.156
x1 0.9293 0.027 34.309 0.000 0.876 0.982
x2 0.0343 0.024 1.429 0.153 -0.013 0.081
x3 0.2125 0.030 7.147 0.000 0.154 0.271
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.3323 0.035 9.526 0.000 0.264 0.401
\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] 0.7279 0.093 7.828 0.000 0.546 0.910
p[1->0] 0.2115 0.064 3.298 0.001 0.086 0.337


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 222 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -229.256 \\\\\n", "\\textbf{Date:} & Thu, 14 Dec 2023 & \\textbf{ AIC } & 480.512 \\\\\n", "\\textbf{Time:} & 14:45:04 & \\textbf{ BIC } & 517.942 \\\\\n", "\\textbf{Sample:} & 07-01-1955 & \\textbf{ HQIC } & 495.624 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.6555 & 0.137 & 4.771 & 0.000 & 0.386 & 0.925 \\\\\n", "\\textbf{x1} & 0.8314 & 0.033 & 24.951 & 0.000 & 0.766 & 0.897 \\\\\n", "\\textbf{x2} & 0.1355 & 0.029 & 4.609 & 0.000 & 0.078 & 0.193 \\\\\n", "\\textbf{x3} & -0.0274 & 0.041 & -0.671 & 0.502 & -0.107 & 0.053 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0945 & 0.128 & -0.739 & 0.460 & -0.345 & 0.156 \\\\\n", "\\textbf{x1} & 0.9293 & 0.027 & 34.309 & 0.000 & 0.876 & 0.982 \\\\\n", "\\textbf{x2} & 0.0343 & 0.024 & 1.429 & 0.153 & -0.013 & 0.081 \\\\\n", "\\textbf{x3} & 0.2125 & 0.030 & 7.147 & 0.000 & 0.154 & 0.271 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.3323 & 0.035 & 9.526 & 0.000 & 0.264 & 0.401 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7279 & 0.093 & 7.828 & 0.000 & 0.546 & 0.910 \\\\\n", "\\textbf{p[1-$>$0]} & 0.2115 & 0.064 & 3.298 & 0.001 & 0.086 & 0.337 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 222\n", "Model: MarkovRegression Log Likelihood -229.256\n", "Date: Thu, 14 Dec 2023 AIC 480.512\n", "Time: 14:45:04 BIC 517.942\n", "Sample: 07-01-1955 HQIC 495.624\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.6555 0.137 4.771 0.000 0.386 0.925\n", "x1 0.8314 0.033 24.951 0.000 0.766 0.897\n", "x2 0.1355 0.029 4.609 0.000 0.078 0.193\n", "x3 -0.0274 0.041 -0.671 0.502 -0.107 0.053\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0945 0.128 -0.739 0.460 -0.345 0.156\n", "x1 0.9293 0.027 34.309 0.000 0.876 0.982\n", "x2 0.0343 0.024 1.429 0.153 -0.013 0.081\n", "x3 0.2125 0.030 7.147 0.000 0.154 0.271\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.3323 0.035 9.526 0.000 0.264 0.401\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7279 0.093 7.828 0.000 0.546 0.910\n", "p[1->0] 0.2115 0.064 3.298 0.001 0.086 0.337\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds3.summary()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:04.407929Z", "iopub.status.busy": "2023-12-14T14:45:04.407536Z", "iopub.status.idle": "2023-12-14T14:45:04.496805Z", "shell.execute_reply": "2023-12-14T14:45:04.496168Z" }, "jupyter": { "outputs_hidden": false } }, "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: y No. Observations: 222
Model: MarkovRegression Log Likelihood -180.806
Date: Thu, 14 Dec 2023 AIC 399.611
Time: 14:45:04 BIC 464.262
Sample: 07-01-1955 HQIC 425.713
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const -1.0250 0.290 -3.531 0.000 -1.594 -0.456
x1 0.3277 0.086 3.812 0.000 0.159 0.496
x2 0.2036 0.049 4.152 0.000 0.107 0.300
x3 1.1381 0.081 13.977 0.000 0.978 1.298
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0259 0.087 -0.298 0.765 -0.196 0.144
x1 0.9737 0.019 50.265 0.000 0.936 1.012
x2 0.0341 0.017 2.030 0.042 0.001 0.067
x3 0.1215 0.022 5.606 0.000 0.079 0.164
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 2 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7346 0.130 5.632 0.000 0.479 0.990
x1 0.8436 0.024 35.198 0.000 0.797 0.891
x2 0.1633 0.025 6.515 0.000 0.114 0.212
x3 -0.0499 0.027 -1.835 0.067 -0.103 0.003
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.1660 0.018 9.240 0.000 0.131 0.201
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\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] 0.7214 0.117 6.177 0.000 0.493 0.950
p[1->0] 4.001e-08 nan nan nan nan nan
p[2->0] 0.0783 0.038 2.079 0.038 0.004 0.152
p[0->1] 0.1044 0.095 1.103 0.270 -0.081 0.290
p[1->1] 0.8259 0.054 15.208 0.000 0.719 0.932
p[2->1] 0.2288 0.073 3.150 0.002 0.086 0.371


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 222 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -180.806 \\\\\n", "\\textbf{Date:} & Thu, 14 Dec 2023 & \\textbf{ AIC } & 399.611 \\\\\n", "\\textbf{Time:} & 14:45:04 & \\textbf{ BIC } & 464.262 \\\\\n", "\\textbf{Sample:} & 07-01-1955 & \\textbf{ HQIC } & 425.713 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -1.0250 & 0.290 & -3.531 & 0.000 & -1.594 & -0.456 \\\\\n", "\\textbf{x1} & 0.3277 & 0.086 & 3.812 & 0.000 & 0.159 & 0.496 \\\\\n", "\\textbf{x2} & 0.2036 & 0.049 & 4.152 & 0.000 & 0.107 & 0.300 \\\\\n", "\\textbf{x3} & 1.1381 & 0.081 & 13.977 & 0.000 & 0.978 & 1.298 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0259 & 0.087 & -0.298 & 0.765 & -0.196 & 0.144 \\\\\n", "\\textbf{x1} & 0.9737 & 0.019 & 50.265 & 0.000 & 0.936 & 1.012 \\\\\n", "\\textbf{x2} & 0.0341 & 0.017 & 2.030 & 0.042 & 0.001 & 0.067 \\\\\n", "\\textbf{x3} & 0.1215 & 0.022 & 5.606 & 0.000 & 0.079 & 0.164 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7346 & 0.130 & 5.632 & 0.000 & 0.479 & 0.990 \\\\\n", "\\textbf{x1} & 0.8436 & 0.024 & 35.198 & 0.000 & 0.797 & 0.891 \\\\\n", "\\textbf{x2} & 0.1633 & 0.025 & 6.515 & 0.000 & 0.114 & 0.212 \\\\\n", "\\textbf{x3} & -0.0499 & 0.027 & -1.835 & 0.067 & -0.103 & 0.003 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.1660 & 0.018 & 9.240 & 0.000 & 0.131 & 0.201 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7214 & 0.117 & 6.177 & 0.000 & 0.493 & 0.950 \\\\\n", "\\textbf{p[1-$>$0]} & 4.001e-08 & nan & nan & nan & nan & nan \\\\\n", "\\textbf{p[2-$>$0]} & 0.0783 & 0.038 & 2.079 & 0.038 & 0.004 & 0.152 \\\\\n", "\\textbf{p[0-$>$1]} & 0.1044 & 0.095 & 1.103 & 0.270 & -0.081 & 0.290 \\\\\n", "\\textbf{p[1-$>$1]} & 0.8259 & 0.054 & 15.208 & 0.000 & 0.719 & 0.932 \\\\\n", "\\textbf{p[2-$>$1]} & 0.2288 & 0.073 & 3.150 & 0.002 & 0.086 & 0.371 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 222\n", "Model: MarkovRegression Log Likelihood -180.806\n", "Date: Thu, 14 Dec 2023 AIC 399.611\n", "Time: 14:45:04 BIC 464.262\n", "Sample: 07-01-1955 HQIC 425.713\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -1.0250 0.290 -3.531 0.000 -1.594 -0.456\n", "x1 0.3277 0.086 3.812 0.000 0.159 0.496\n", "x2 0.2036 0.049 4.152 0.000 0.107 0.300\n", "x3 1.1381 0.081 13.977 0.000 0.978 1.298\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0259 0.087 -0.298 0.765 -0.196 0.144\n", "x1 0.9737 0.019 50.265 0.000 0.936 1.012\n", "x2 0.0341 0.017 2.030 0.042 0.001 0.067\n", "x3 0.1215 0.022 5.606 0.000 0.079 0.164\n", " Regime 2 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7346 0.130 5.632 0.000 0.479 0.990\n", "x1 0.8436 0.024 35.198 0.000 0.797 0.891\n", "x2 0.1633 0.025 6.515 0.000 0.114 0.212\n", "x3 -0.0499 0.027 -1.835 0.067 -0.103 0.003\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.1660 0.018 9.240 0.000 0.131 0.201\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7214 0.117 6.177 0.000 0.493 0.950\n", "p[1->0] 4.001e-08 nan nan nan nan nan\n", "p[2->0] 0.0783 0.038 2.079 0.038 0.004 0.152\n", "p[0->1] 0.1044 0.095 1.103 0.270 -0.081 0.290\n", "p[1->1] 0.8259 0.054 15.208 0.000 0.719 0.932\n", "p[2->1] 0.2288 0.073 3.150 0.002 0.086 0.371\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds4.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to lower information criteria, we might prefer the 3-state model, with an interpretation of low-, medium-, and high-interest rate regimes. The smoothed probabilities of each regime are plotted below." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:04.500604Z", "iopub.status.busy": "2023-12-14T14:45:04.499966Z", "iopub.status.idle": "2023-12-14T14:45:06.887093Z", "shell.execute_reply": "2023-12-14T14:45:06.886112Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, figsize=(10, 7))\n", "\n", "ax = axes[0]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[0])\n", "ax.set(title=\"Smoothed probability of a low-interest rate regime\")\n", "\n", "ax = axes[1]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[1])\n", "ax.set(title=\"Smoothed probability of a medium-interest rate regime\")\n", "\n", "ax = axes[2]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[2])\n", "ax.set(title=\"Smoothed probability of a high-interest rate regime\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Switching variances\n", "\n", "We can also accommodate switching variances. In particular, we consider the model\n", "\n", "$$\n", "y_t = \\mu_{S_t} + y_{t-1} \\beta_{S_t} + \\varepsilon_t \\quad \\varepsilon_t \\sim N(0, \\sigma_{S_t}^2)\n", "$$\n", "\n", "We use maximum likelihood to estimate the parameters of this model: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\beta_0, \\beta_1, \\sigma_0^2, \\sigma_1^2$.\n", "\n", "The application is to absolute returns on stocks, where the data can be found at https://www.stata-press.com/data/r14/snp500." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:06.891515Z", "iopub.status.busy": "2023-12-14T14:45:06.890680Z", "iopub.status.idle": "2023-12-14T14:45:09.103828Z", "shell.execute_reply": "2023-12-14T14:45:09.103122Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the federal funds rate data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import areturns\n", "\n", "dta_areturns = pd.Series(\n", " areturns, index=pd.date_range(\"2004-05-04\", \"2014-5-03\", freq=\"W\")\n", ")\n", "\n", "# Plot the data\n", "dta_areturns.plot(title=\"Absolute returns, S&P500\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "mod_areturns = sm.tsa.MarkovRegression(\n", " dta_areturns.iloc[1:],\n", " k_regimes=2,\n", " exog=dta_areturns.iloc[:-1],\n", " switching_variance=True,\n", ")\n", "res_areturns = mod_areturns.fit()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:09.114333Z", "iopub.status.busy": "2023-12-14T14:45:09.106832Z", "iopub.status.idle": "2023-12-14T14:45:09.182327Z", "shell.execute_reply": "2023-12-14T14:45:09.181610Z" }, "jupyter": { "outputs_hidden": false } }, "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: y No. Observations: 520
Model: MarkovRegression Log Likelihood -745.798
Date: Thu, 14 Dec 2023 AIC 1507.595
Time: 14:45:09 BIC 1541.626
Sample: 05-16-2004 HQIC 1520.926
- 04-27-2014
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7641 0.078 9.761 0.000 0.611 0.918
x1 0.0791 0.030 2.620 0.009 0.020 0.138
sigma2 0.3476 0.061 5.694 0.000 0.228 0.467
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 1.9728 0.278 7.086 0.000 1.427 2.518
x1 0.5280 0.086 6.155 0.000 0.360 0.696
sigma2 2.5771 0.405 6.357 0.000 1.783 3.372
\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] 0.7531 0.063 11.871 0.000 0.629 0.877
p[1->0] 0.6825 0.066 10.301 0.000 0.553 0.812


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 520 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -745.798 \\\\\n", "\\textbf{Date:} & Thu, 14 Dec 2023 & \\textbf{ AIC } & 1507.595 \\\\\n", "\\textbf{Time:} & 14:45:09 & \\textbf{ BIC } & 1541.626 \\\\\n", "\\textbf{Sample:} & 05-16-2004 & \\textbf{ HQIC } & 1520.926 \\\\\n", "\\textbf{} & - 04-27-2014 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7641 & 0.078 & 9.761 & 0.000 & 0.611 & 0.918 \\\\\n", "\\textbf{x1} & 0.0791 & 0.030 & 2.620 & 0.009 & 0.020 & 0.138 \\\\\n", "\\textbf{sigma2} & 0.3476 & 0.061 & 5.694 & 0.000 & 0.228 & 0.467 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 1.9728 & 0.278 & 7.086 & 0.000 & 1.427 & 2.518 \\\\\n", "\\textbf{x1} & 0.5280 & 0.086 & 6.155 & 0.000 & 0.360 & 0.696 \\\\\n", "\\textbf{sigma2} & 2.5771 & 0.405 & 6.357 & 0.000 & 1.783 & 3.372 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7531 & 0.063 & 11.871 & 0.000 & 0.629 & 0.877 \\\\\n", "\\textbf{p[1-$>$0]} & 0.6825 & 0.066 & 10.301 & 0.000 & 0.553 & 0.812 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 520\n", "Model: MarkovRegression Log Likelihood -745.798\n", "Date: Thu, 14 Dec 2023 AIC 1507.595\n", "Time: 14:45:09 BIC 1541.626\n", "Sample: 05-16-2004 HQIC 1520.926\n", " - 04-27-2014 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7641 0.078 9.761 0.000 0.611 0.918\n", "x1 0.0791 0.030 2.620 0.009 0.020 0.138\n", "sigma2 0.3476 0.061 5.694 0.000 0.228 0.467\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 1.9728 0.278 7.086 0.000 1.427 2.518\n", "x1 0.5280 0.086 6.155 0.000 0.360 0.696\n", "sigma2 2.5771 0.405 6.357 0.000 1.783 3.372\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7531 0.063 11.871 0.000 0.629 0.877\n", "p[1->0] 0.6825 0.066 10.301 0.000 0.553 0.812\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_areturns.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first regime is a low-variance regime and the second regime is a high-variance regime. Below we plot the probabilities of being in the low-variance regime. Between 2008 and 2012 there does not appear to be a clear indication of one regime guiding the economy." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:09.189388Z", "iopub.status.busy": "2023-12-14T14:45:09.186419Z", "iopub.status.idle": "2023-12-14T14:45:10.187763Z", "shell.execute_reply": "2023-12-14T14:45:10.186883Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_areturns.smoothed_marginal_probabilities[0].plot(\n", " title=\"Probability of being in a low-variance regime\", figsize=(12, 3)\n", ")" ] } ], "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }