tsa_var.ipynb

{
 "metadata": {
  "name": "tsa_var"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Vector Autoregressions: inflation-unemployment-interest rate"
     ]
    },
    {
     "cell_type": "raw",
     "metadata": {},
     "source": [
      "Vector Autoregression (VAR), introduced by Nobel laureate Christopher Sims in 1980, is a powerful statistical tool in the macroeconomist's toolkit."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Formally a VAR model is\n",
      "\n",
      "$$Y_t = A_1 Y_{t-1} + \\ldots + A_p Y_{t-p} + u_t$$\n",
      "\n",
      "$$u_t \\sim {\\sf Normal}(0, \\Sigma_u)$$\n",
      "\n",
      "where $Y_t$ is of dimension $K$ and $A_i$ is a $K \\times K$ coefficient matrix."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dta = sm.datasets.macrodata.load_pandas().data\n",
      "endog = dta[[\"infl\", \"unemp\", \"tbilrate\"]]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "index = sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3')\n",
      "dta.index = pandas.Index(index)\n",
      "del dta['year']\n",
      "del dta['quarter']\n",
      "endog.index = pandas.Index(index) # DatetimeIndex or PeriodIndex in 0.8.0\n",
      "print endog.head(10)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "            infl  unemp  tbilrate\n",
        "1959-03-31  0.00    5.8      2.82\n",
        "1959-06-30  2.34    5.1      3.08\n",
        "1959-09-30  2.74    5.3      3.82\n",
        "1959-12-31  0.27    5.6      4.33\n",
        "1960-03-31  2.31    5.2      3.50\n",
        "1960-06-30  0.14    5.2      2.68\n",
        "1960-09-30  2.70    5.6      2.36\n",
        "1960-12-31  1.21    6.3      2.29\n",
        "1961-03-31 -0.40    6.8      2.37\n",
        "1961-06-30  1.47    7.0      2.29\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "endog.plot(subplots=True, figsize=(14,18));"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/usr/local/lib/python2.7/dist-packages/matplotlib/font_manager.py:1210: UserWarning: findfont: Font family ['monospace'] not found. Falling back to Bitstream Vera Sans\n",
        "  (prop.get_family(), self.defaultFamily[fontext]))\n"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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doLhM3SDd+MOVQ+Pp6Yno6Gh888038PHxkW+fP38+zpw5g8rKSo1J75Zc6Uyb68xQBQEY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\niIiI1Fr/A7ngr3wvqXzZAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# model only after Volcker appointment\n",
      "var_mod = sm.tsa.VAR(endog.ix['1979-12-31':]).fit(maxlags=4, ic=None)\n",
      "print var_mod.summary()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "  Summary of Regression Results   \n",
        "==================================\n",
        "Model:                         VAR\n",
        "Method:                        OLS\n",
        "Date:           Tue, 17, Jul, 2012\n",
        "Time:                     12:29:31\n",
        "--------------------------------------------------------------------\n",
        "No. of Equations:         3.00000    BIC:                   -1.38214\n",
        "Nobs:                     116.000    HQIC:                  -1.93210\n",
        "Log likelihood:          -320.932    FPE:                  0.0997509\n",
        "AIC:                     -2.30792    Det(Omega_mle):       0.0725307\n",
        "--------------------------------------------------------------------\n",
        "Results for equation infl\n",
        "==============================================================================\n",
        "                 coefficient       std. error           t-stat            prob\n",
        "------------------------------------------------------------------------------\n",
        "const               1.861765         0.975933            1.908           0.059\n",
        "L1.infl             0.043747         0.099137            0.441           0.660\n",
        "L1.unemp           -1.772916         1.068556           -1.659           0.100\n",
        "L1.tbilrate         1.068492         0.308544            3.463           0.001\n",
        "L2.infl            -0.047131         0.094792           -0.497           0.620\n",
        "L2.unemp            3.350585         1.947357            1.721           0.088\n",
        "L2.tbilrate        -0.801488         0.364698           -2.198           0.030\n",
        "L3.infl             0.130702         0.096459            1.355           0.178\n",
        "L3.unemp            0.483236         1.915270            0.252           0.801\n",
        "L3.tbilrate         0.767990         0.323361            2.375           0.019\n",
        "L4.infl            -0.118506         0.105590           -1.122           0.264\n",
        "L4.unemp           -2.109414         1.046155           -2.016           0.046\n",
        "L4.tbilrate        -0.709641         0.246646           -2.877           0.005\n",
        "==============================================================================\n",
        "\n",
        "Results for equation unemp\n",
        "==============================================================================\n",
        "                 coefficient       std. error           t-stat            prob\n",
        "------------------------------------------------------------------------------\n",
        "const               0.196149         0.091636            2.141           0.035\n",
        "L1.infl            -0.006733         0.009309           -0.723           0.471\n",
        "L1.unemp            1.543511         0.100333           15.384           0.000\n",
        "L1.tbilrate        -0.101861         0.028971           -3.516           0.001\n",
        "L2.infl             0.004712         0.008901            0.529           0.598\n",
        "L2.unemp           -0.434913         0.182848           -2.379           0.019\n",
        "L2.tbilrate         0.154581         0.034244            4.514           0.000\n",
        "L3.infl             0.009677         0.009057            1.068           0.288\n",
        "L3.unemp           -0.239875         0.179835           -1.334           0.185\n",
        "L3.tbilrate        -0.092268         0.030362           -3.039           0.003\n",
        "L4.infl             0.026235         0.009914            2.646           0.009\n",
        "L4.unemp            0.082838         0.098229            0.843           0.401\n",
        "L4.tbilrate         0.035650         0.023159            1.539           0.127\n",
        "==============================================================================\n",
        "\n",
        "Results for equation tbilrate\n",
        "==============================================================================\n",
        "                 coefficient       std. error           t-stat            prob\n",
        "------------------------------------------------------------------------------\n",
        "const              -0.210139         0.313916           -0.669           0.505\n",
        "L1.infl            -0.034879         0.031888           -1.094           0.277\n",
        "L1.unemp           -0.679575         0.343709           -1.977           0.051\n",
        "L1.tbilrate         1.151534         0.099246           11.603           0.000\n",
        "L2.infl             0.043524         0.030491            1.427           0.156\n",
        "L2.unemp            0.601872         0.626382            0.961           0.339\n",
        "L2.tbilrate        -0.448569         0.117308           -3.824           0.000\n",
        "L3.infl             0.023667         0.031027            0.763           0.447\n",
        "L3.unemp            0.748752         0.616061            1.215           0.227\n",
        "L3.tbilrate         0.558119         0.104012            5.366           0.000\n",
        "L4.infl             0.041376         0.033964            1.218           0.226\n",
        "L4.unemp           -0.586963         0.336504           -1.744           0.084\n",
        "L4.tbilrate        -0.373850         0.079336           -4.712           0.000\n",
        "==============================================================================\n",
        "\n",
        "Correlation matrix of residuals\n",
        "                infl     unemp  tbilrate\n",
        "infl        1.000000 -0.150786  0.258308\n",
        "unemp      -0.150786  1.000000 -0.389991\n",
        "tbilrate    0.258308 -0.389991  1.000000\n",
        "\n",
        "\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Diagnostics"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.abs(var_mod.roots)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "array([ 2.7821,  2.7821,  1.5472,  1.5472,  1.3908,  1.3908,  1.3806,\n",
        "        1.3806,  1.1395,  1.1395,  1.104 ,  1.104 ])"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "raw",
     "metadata": {},
     "source": [
      "var_mod.test_normality() and var_mod.test_whiteness() are also available. There are problems with this model..."
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Granger-Causality tests"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "var_mod.test_causality('unemp', 'tbilrate', kind='Wald')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Granger causality Wald-test\n",
        "=======================================================\n",
        "   Test statistic   Critical Value          p-value  df\n",
        "-------------------------------------------------------\n",
        "        22.700855         9.487729            0.000   4\n",
        "=======================================================\n",
        "H_0: ['tbilrate'] do not Granger-cause unemp\n",
        "Conclusion: reject H_0 at 5.00% significance level\n"
       ]
      },
      {
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "{'conclusion': 'reject',\n",
        " 'crit_value': 9.487729036781154,\n",
        " 'df': 4,\n",
        " 'pvalue': 0.00014529611487641404,\n",
        " 'signif': 0.05,\n",
        " 'statistic': 22.700854791605487}"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "table = pandas.DataFrame(np.zeros((9,3)), columns=['chi2', 'df', 'prob(>chi2)'])\n",
      "index = []\n",
      "variables = set(endog.columns.tolist())\n",
      "i = 0\n",
      "for vari in variables:\n",
      "    others = []\n",
      "    for j,ex_vari in enumerate(variables):\n",
      "        if vari == ex_vari: # don't want to test this\n",
      "            continue\n",
      "        others.append(ex_vari)\n",
      "        res = var_mod.test_causality(vari, ex_vari, kind='Wald', verbose=False)\n",
      "        table.ix[[i], ['chi2', 'df', 'prob(>chi2)']] = (res['statistic'], res['df'], res['pvalue'])\n",
      "        i += 1\n",
      "        index.append([vari, ex_vari])\n",
      "    res = var_mod.test_causality(vari, others, kind='Wald', verbose=False)\n",
      "    table.ix[[i], ['chi2', 'df', 'prob(>chi2)']] = res['statistic'], res['df'], res['pvalue']\n",
      "    index.append([vari, 'ALL'])\n",
      "    i += 1\n",
      "table.index = pandas.MultiIndex.from_tuples(index, names=['Equation', 'Excluded'])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print table"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "                     chi2  df  prob(>chi2)\n",
        "Equation Excluded                         \n",
        "unemp    infl      10.866   4        0.028\n",
        "         tbilrate  22.701   4        0.000\n",
        "         ALL       35.853   8        0.000\n",
        "infl     unemp     10.497   4        0.033\n",
        "         tbilrate  21.629   4        0.000\n",
        "         ALL       29.597   8        0.000\n",
        "tbilrate unemp     12.447   4        0.014\n",
        "         infl       6.119   4        0.190\n",
        "         ALL       16.362   8        0.037\n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "From this we reject the null that these variables do not Granger cause for all cases except for infl -> tbilrate. In other words, in almost all cases we can reject the null hypothesis that the lags of the *excluded* variable are jointly zero in *Equation*."
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Order Selection"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "var_mod.model.select_order()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "                 VAR Order Selection                  \n",
        "======================================================\n",
        "            aic          bic          fpe         hqic\n",
        "------------------------------------------------------\n",
        "0         3.821        3.895        45.63        3.851\n",
        "1        -2.693       -2.393      0.06769       -2.571\n",
        "2       -3.424*      -2.900*     0.03259*      -3.212*\n",
        "3        -3.335       -2.586      0.03567       -3.031\n",
        "4        -3.404       -2.429      0.03338       -3.009\n",
        "5        -3.289       -2.090      0.03754       -2.803\n",
        "6        -3.239       -1.815      0.03967       -2.661\n",
        "7        -3.199       -1.550      0.04156       -2.530\n",
        "8        -3.213       -1.340      0.04131       -2.454\n",
        "9        -3.255       -1.156      0.04006       -2.404\n",
        "10       -3.278      -0.9547      0.03969       -2.336\n",
        "11       -3.206      -0.6580      0.04339       -2.173\n",
        "12       -3.144      -0.3716      0.04711       -2.020\n",
        "13       -3.065     -0.06718      0.05231       -1.850\n",
        "======================================================\n",
        "* Minimum\n",
        "\n"
       ]
      },
      {
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "{'aic': 2, 'bic': 2, 'fpe': 2, 'hqic': 2}"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Impulse Response Functions"
     ]
    },
    {
     "cell_type": "raw",
     "metadata": {},
     "source": [
      "Suppose we want to examine what happens to each of the variables when a 1 unit increase in the current value of one of the VAR errors occurs (a \"shock\"). To isolate the effects of only one error while holding the others constant, we need the model to be in a form so that the contemporaneous errors are uncorrelated across equations. One such way to achieve this is the so-called recursive VAR. In the recursive VAR, the order of the variables is determined by how the econometrician views the economic processes as ocurring. Given this order, inflation is determined by the contemporaneous unemployment rate and tbilrate is determined by the contemporaneous inflation and unemployment rates. Unemployment is a function of only the past values of itself, inflation, and the T-bill rate.\n",
      "\n",
      "We achieve such a structure by using the Choleski decomposition."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "irf = var_mod.irf(24)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "irf.plot(orth=True, signif=.33, subplot_params = {'fontsize' : 18})"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
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XdsjIECE5+QQUCqCoiMONGxxyc0XIzBTh4kUxzp0To6iIQ1veamxra4t9+/Zh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\nn4AF7ZWEuUg3jFWkpJwwqC61GmJjJdy7J+POnfQV5p0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EysqKhQsXGs3oNYTPy4ULF+je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\nSKCBLyGEEEIIGRJo4EsIIYQQQoaE/wGhitvVE/cScQAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "raw",
     "metadata": {},
     "source": [
      "Note that inflation dynamics are not very persistent, but do appear to have a significant and immediate impact on interest rates and on unemployment in the medium run."
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Forecast Error Decompositions"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "var_mod.fevd(24).summary()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "FEVD for infl\n",
        "          infl     unemp  tbilrate\n",
        "0     1.000000  0.000000  0.000000\n",
        "1     0.852378  0.068321  0.079300\n",
        "2     0.821960  0.072742  0.105298\n",
        "3     0.800366  0.071008  0.128626\n",
        "4     0.782810  0.069296  0.147895\n",
        "5     0.778382  0.073392  0.148226\n",
        "6     0.774765  0.077698  0.147538\n",
        "7     0.773304  0.078759  0.147937\n",
        "8     0.772711  0.079996  0.147293\n",
        "9     0.771720  0.081095  0.147185\n",
        "10    0.770519  0.081963  0.147518\n",
        "11    0.769590  0.082942  0.147467\n",
        "12    0.768802  0.083723  0.147474\n",
        "13    0.768341  0.084163  0.147496\n",
        "14    0.768186  0.084338  0.147476\n",
        "15    0.768135  0.084354  0.147511\n",
        "16    0.768094  0.084314  0.147592\n",
        "17    0.768034  0.084282  0.147684\n",
        "18    0.767934  0.084280  0.147786\n",
        "19    0.767816  0.084301  0.147883\n",
        "20    0.767702  0.084342  0.147955\n",
        "21    0.767601  0.084394  0.148005\n",
        "22    0.767518  0.084444  0.148038\n",
        "23    0.767455  0.084490  0.148056\n",
        "\n",
        "FEVD for unemp\n",
        "          infl     unemp  tbilrate\n",
        "0     0.022736  0.977264  0.000000\n",
        "1     0.044880  0.930399  0.024721\n",
        "2     0.041784  0.930260  0.027956\n",
        "3     0.037486  0.930276  0.032238\n",
        "4     0.027721  0.931560  0.040719\n",
        "5     0.022468  0.934437  0.043095\n",
        "6     0.021990  0.936267  0.041743\n",
        "7     0.025581  0.935272  0.039147\n",
        "8     0.031058  0.931753  0.037189\n",
        "9     0.037851  0.924482  0.037667\n",
        "10    0.045527  0.913280  0.041193\n",
        "11    0.053402  0.898884  0.047714\n",
        "12    0.061321  0.882177  0.056503\n",
        "13    0.068823  0.864635  0.066542\n",
        "14    0.075418  0.847729  0.076853\n",
        "15    0.080988  0.832408  0.086604\n",
        "16    0.085516  0.819282  0.095202\n",
        "17    0.089098  0.808583  0.102320\n",
        "18    0.091923  0.800184  0.107893\n",
        "19    0.094151  0.793811  0.112038\n",
        "20    0.095907  0.789125  0.114968\n",
        "21    0.097291  0.785765  0.116944\n",
        "22    0.098382  0.783403  0.118215\n",
        "23    0.099239  0.781764  0.118996\n",
        "\n",
        "FEVD for tbilrate\n",
        "          infl     unemp  tbilrate\n",
        "0     0.066723  0.126097  0.807180\n",
        "1     0.046150  0.198100  0.755749\n",
        "2     0.056621  0.251998  0.691381\n",
        "3     0.081954  0.248844  0.669202\n",
        "4     0.099227  0.238387  0.662386\n",
        "5     0.108544  0.228719  0.662736\n",
        "6     0.113163  0.212939  0.673899\n",
        "7     0.117658  0.199234  0.683108\n",
        "8     0.120920  0.193892  0.685188\n",
        "9     0.122879  0.197398  0.679723\n",
        "10    0.124824  0.208597  0.666578\n",
        "11    0.126204  0.224548  0.649248\n",
        "12    0.126978  0.242303  0.630718\n",
        "13    0.127918  0.259257  0.612825\n",
        "14    0.129091  0.273537  0.597373\n",
        "15    0.130529  0.284485  0.584986\n",
        "16    0.132460  0.292021  0.575519\n",
        "17    0.134787  0.296476  0.568738\n",
        "18    0.137301  0.298526  0.564173\n",
        "19    0.139874  0.298875  0.561251\n",
        "20    0.142334  0.298162  0.559504\n",
        "21    0.144535  0.296922  0.558544\n",
        "22    0.146418  0.295511  0.558070\n",
        "23    0.147973  0.294149  0.557878\n",
        "\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "var_mod.fevd(24).plot(figsize=(12,12))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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wgWYbAAAAsIRmG67E3BxMkBOYIiswQU5gA802AAAAYAnNNlyJuTmYICcwRVZg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\nXt1Gt9rvK7t27dJXvvKVNK8IfjVy5EgFAgFlZ2frm9/8pt588810Lwk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      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "raw",
     "metadata": {},
     "source": [
      "There is some amount of interaction between the variables. For instance, at the 12 quarter horizon, 40% of the error in the forecast of the T-bill rate is attributed to the inflation and unemployment shocks in the recursive VAR."
     ]
    },
    {
     "cell_type": "raw",
     "metadata": {},
     "source": [
      "To make structural inferences - e.g., what is the effect on the rate of inflation and unemployment of an unexpected 100 basis point increase in the Federal Funds rate (proxied by the T-bill rate here), we might want to fit a structural VAR model based on economic theory of monetary policy. For instance, we might replace the VAR equation for the T-bill rate with a policy equation such as a Taylor rule and restrict coefficients. You can do so with the sm.tsa.SVAR class."
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Exercises"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Experiment with different VAR models. You can try to adjust the number of lags in the VAR model calculated above or the ordering of the variables and see how it affects the model."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You might also try adding variables to the VAR, say *M1* measure of money supply, or estimating a different model using measures of consumption (realcons), government spending (realgovt), or GDP (realgdp)."
     ]
    }
   ],
   "metadata": {}
  }
 ]
}