ARMA_2_MA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "AUTOREGRESSIVE MOVING AVERAGE ARMA(P, Q) MODELS-PART II MA\n",
    "===============================================\n",
    "\n",
    "Ref: \n",
    "\n",
    "https://www.quantstart.com/articles/Autoregressive-Moving-Average-ARMA-p-q-Models-for-Time-Series-Analysis-Part-2\n",
    "\n",
    "MA(1)\n",
    "-----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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FnFAA0KjjNLXWSyY1D+HEtjkEjHLUJtNEhMBtCnZwkbpCy0RjPtrmr2oNvrilBh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PdGGWrQ1RUkENBxp11B2ltpL+OkDFH0Fjveu/MylFdm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\nRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Series  x”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "set.seed(1)\n",
    "x <- w <- rnorm(100)\n",
    "for (t in 2:100) x[t] <- w[t] + 0.6*w[t-1]\n",
    "layout(1:2)\n",
    "plot(x, type=\"l\")\n",
    "acf(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For k > q, all autocorrelations should be zero. Since q=1, we see a significant peak at k=1. However due to sampling bias we should expect to see 5% (marginally) significant peaks on a sample correlation plot. By taking a look at the correlogram of a particular series we can see how many sequential non-zero lags exist. If **q **such lags exist then we can legitimately attempt to fit a MA(q) model to a particular series.\n",
    "\n",
    "Unfortunately, there isn't an equivalent **ma** command to the autoregressive model ar command in R.\n",
    "\n",
    "Instead, we must use the more general **arima** command and set the autoregressive and integrated components to zero. We do this by creating a 3-vector and setting the first two components (the autogressive and integrated parameters, respectively) to zero:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = x, order = c(0, 0, 1))\n",
       "\n",
       "Coefficients:\n",
       "         ma1  intercept\n",
       "      0.6023     0.1681\n",
       "s.e.  0.0827     0.1424\n",
       "\n",
       "sigma^2 estimated as 0.7958:  log likelihood = -130.7,  aic = 267.39"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x.ma <- arima(x, order=c(0,0,1))\n",
    "x.ma"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1) Estimated beta1 = 0.602, which is very cloase to the true value.  \n",
    "\n",
    "2) The standard errors are calculated, making it straightforward to calculate confidence intervals. \n",
    "\n",
    "3) We receive an estimated variance, log-likelihood and Akaike Information Criterion. \n",
    "\n",
    "We can calculate confidence intervals for beta1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>0.440208</li>\n",
       "\t<li>0.764392</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 0.440208\n",
       "\\item 0.764392\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 0.440208\n",
       "2. 0.764392\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 0.440208 0.764392"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "0.6023 + c(-1.96,1.96)*0.0827 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the 95% CI contains the true parameter value of beta1=0.6 so we can judge the model a good fit.\n",
    "\n",
    "How about beta1 = -0.6? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ThBg79TwtUwA2bADIyRAb4ePXWMHWvp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\n9CdfkDZLmoJBdFB+Kq6kJw4zxhogHag+HiLJvyB9mc4LcJ0DXkt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wQyWdH2nBR1Kt8zblGh6wLUPB/PDVKECAlM9Z5K3nFZuxSRJ6JfoS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SD2oo9nptxtC873N3rWK2PnBhNEHp4fhEFdGDQKuDnR4GSa81ErhX87JxND+dFEg+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\nCCCAAAIIIIDAcApQI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NQCTw/11DFxCAyZAAXSkC0QJgcBBBBAAAEE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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Series  x”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "set.seed(1)\n",
    "x <- w <- rnorm(100)\n",
    "for (t in 2:100) x[t] <- w[t] - 0.6*w[t-1]\n",
    "layout(1:2)\n",
    "plot(x, type=\"l\")\n",
    "acf(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that at k=1 we have a significant peak which shows negative correlation. \n",
    "Let's fit a MA(1) model and estimate the parameter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = x, order = c(0, 0, 1))\n",
       "\n",
       "Coefficients:\n",
       "          ma1  intercept\n",
       "      -0.7298     0.0486\n",
       "s.e.   0.1008     0.0246\n",
       "\n",
       "sigma^2 estimated as 0.7841:  log likelihood = -130.11,  aic = 266.23"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x.ma <- arima(x, order=c(0,0,1))\n",
    "x.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>-0.925568</li>\n",
       "\t<li>-0.530432</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item -0.925568\n",
       "\\item -0.530432\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. -0.925568\n",
       "2. -0.530432\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] -0.925568 -0.530432"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "-0.728 + c(-1.96,1.96)*0.1008"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the true parameter value beta1=-0.6 is contained within the 95% CI, providing us with evidence of a good fit. \n",
    "\n",
    "MA(3)\n",
    "----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+7yLZXeWelnKv2rSvz5yxQ9rZjIfcFUY3hBYISAB8FcYByJb6rsOS9844PTP7Fb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6R5hjTQ8H3xEEXN+6lk8M/eHdbP+D/rG4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\nwakPJP3zYyGsG+VNez5wsKdNdNg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HEFs20/N2Sdi26XOsazOs22ueeQ+tV+WcMh2ZYyueo/6M5cmwr9bWTOaJveEQv0Xz9k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\nQIAAAQIECBAgQIAAAQIECExlgZcZAV/A5gLYygAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Series  x”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "set.seed(3)\n",
    "x <- w <- rnorm(1000)\n",
    "for (t in  4:1000) x[t] <- w[t] + 0.6*w[t-1] + 0.4*w[t-2] + 0.3*w[t-3]\n",
    "layout(1:2)\n",
    "plot(x,type=\"l\")\n",
    "acf(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected the first three peaks are significant. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = x, order = c(0, 0, 3))\n",
       "\n",
       "Coefficients:\n",
       "        ma1     ma2     ma3  intercept\n",
       "      0.608  0.3833  0.2736     0.0146\n",
       "s.e.  0.030  0.0349  0.0318     0.0714\n",
       "\n",
       "sigma^2 estimated as 0.9951:  log likelihood = -1416.74,  aic = 2843.48"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x.ma <- arima(x, order=c(0,0,3))\n",
    "x.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>0.5492</li>\n",
       "\t<li>0.6668</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 0.5492\n",
       "\\item 0.6668\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 0.5492\n",
       "2. 0.6668\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 0.5492 0.6668"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "0.608 + c(-1.96,1.96)*0.03"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>0.314896</li>\n",
       "\t<li>0.451704</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 0.314896\n",
       "\\item 0.451704\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 0.314896\n",
       "2. 0.451704\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 0.314896 0.451704"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "0.3833 + c(-1.96,1.96)*0.0349"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>0.211272</li>\n",
       "\t<li>0.335928</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 0.211272\n",
       "\\item 0.335928\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 0.211272\n",
       "2. 0.335928\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 0.211272 0.335928"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "0.2736 + c(-1.96,1.96)*0.0318"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Financial Data\n",
    "-------------\n",
    "**Amazon (AMZN)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "'AMZN'"
      ],
      "text/latex": [
       "'AMZN'"
      ],
      "text/markdown": [
       "'AMZN'"
      ],
      "text/plain": [
       "[1] \"AMZN\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library('TTR')\n",
    "require('quantmod')\n",
    "getSymbols(\"AMZN\",src='yahoo')\n",
    "amznrt = diff(log(Cl(AMZN)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**MA(1)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = amznrt, order = c(0, 0, 1))\n",
       "\n",
       "Coefficients:\n",
       "          ma1  intercept\n",
       "      -0.0229     0.0012\n",
       "s.e.   0.0217     0.0005\n",
       "\n",
       "sigma^2 estimated as 0.0006755:  log likelihood = 5410.44,  aic = -10814.88"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "amznrt.ma <- arima(amznrt, order=c(0,0,1))\n",
    "amznrt.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UfygqSufNRvnvvtBzLzF70Fd+9Nn5vp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\nCBAgQIAAAQIECBAgQIAAAQIE1meB/wAln8WuwvVf3AAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Series  amznrt.ma$res[-1]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot the residuals of the daily log returns and the fitted model:\n",
    "acf(amznrt.ma$res[-1]) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that we have a few significant peaks at lags k=2, 11, 16, indicating that the MA(1) model is unlikely to be a good fit for the behaviour of the AMZN log returns, since this does not look like a realisation of white noise. \n",
    "\n",
    "**MA(2)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = amznrt, order = c(0, 0, 2))\n",
       "\n",
       "Coefficients:\n",
       "          ma1      ma2  intercept\n",
       "      -0.0199  -0.0633     0.0012\n",
       "s.e.   0.0203   0.0206     0.0005\n",
       "\n",
       "sigma^2 estimated as 0.0006729:  log likelihood = 5415.12,  aic = -10822.24"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "amznrt.ma <- arima(amznrt, order=c(0,0,2))\n",
    "amznrt.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nZe0QgQIECAAAECBAjMS8BnkOYluQX3c6OcU30PUj2up9Vnnuo7lVbajsuGL0s2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\nYII=",
      "text/plain": [
       "Plot with title “Series  amznrt.ma$res[-1]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf(amznrt.ma$res[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, we have five marginally significant peaks at lags k=11, 16, 25. This is suggestive that the MA(2) model is capturing a lot of the autocorrelation, but not all of the long-memory effects.\n",
    "\n",
    "**MA(3)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = amznrt, order = c(0, 0, 3))\n",
       "\n",
       "Coefficients:\n",
       "          ma1      ma2     ma3  intercept\n",
       "      -0.0203  -0.0634  0.0111     0.0012\n",
       "s.e.   0.0203   0.0206  0.0201     0.0005\n",
       "\n",
       "sigma^2 estimated as 0.0006728:  log likelihood = 5415.27,  aic = -10820.55"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "amznrt.ma <- arima(amznrt, order=c(0,0,3))\n",
    "amznrt.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hEgQIAAAQIECBCYlYDvIM1KchPu5445p/o7SPW4llbfeaq/qTRtOy4b/kmy3rdd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\nAgQIECBAgAABAgQIbMoC/wEtz0ZIeggAUwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Series  amznrt.ma$res[-1]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf(amznrt.ma$res[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The MA(3) residuals plot looks almost identical to that of the MA(2) model. This is not surprising, as we're adding a new parameter to a model that has seemingly explained away much of the correlations at shorter lags, but that won't have much of an effect on the longer term lags. \n",
    "\n",
    "All of this evidence is suggestive of the fact that an MA(q) model is unlikely to be useful in explaining all of the serial correlation in isolation, at least for AMZN. \n",
    "\n",
    "**S&P500**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "'GSPC'"
      ],
      "text/latex": [
       "'GSPC'"
      ],
      "text/markdown": [
       "'GSPC'"
      ],
      "text/plain": [
       "[1] \"GSPC\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "getSymbols(\"^GSPC\")\n",
    "gspcrt=diff(log(Cl(GSPC)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's fit a MA(1), MA(2) and MA(3) model to the series.\n",
    "\n",
    "**MA(1)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = gspcrt, order = c(0, 0, 1))\n",
       "\n",
       "Coefficients:\n",
       "          ma1  intercept\n",
       "      -0.1170      2e-04\n",
       "s.e.   0.0212      2e-04\n",
       "\n",
       "sigma^2 estimated as 0.0001771:  log likelihood = 7033.51,  aic = -14061.02"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gspcrt.ma <- arima(gspcrt, order=c(0,0,1))\n",
    "gspcrt.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SbptulPf5Dlz0j6bSk+38gduv28un/n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\nECBAgAABAgQIbM8C/wEXnv7egSHJeAAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Series  gspcrt.ma$res[-1]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf(gspcrt.ma$res[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**MA(2)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = gspcrt, order = c(0, 0, 2))\n",
       "\n",
       "Coefficients:\n",
       "          ma1      ma2  intercept\n",
       "      -0.1083  -0.0550      2e-04\n",
       "s.e.   0.0204   0.0211      2e-04\n",
       "\n",
       "sigma^2 estimated as 0.0001766:  log likelihood = 7036.88,  aic = -14065.76"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gspcrt.ma <- arima(gspcrt, order=c(0,0,2))\n",
    "gspcrt.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XL6dNJt059eleXPSPptOT5fzxO6/by6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\nRK5CYII=",
      "text/plain": [
       "Plot with title “Series  gspcrt.ma$res[-1]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf(gspcrt.ma$res[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**MA(3)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = gspcrt, order = c(0, 0, 3))\n",
       "\n",
       "Coefficients:\n",
       "          ma1      ma2     ma3  intercept\n",
       "      -0.1082  -0.0553  0.0230      2e-04\n",
       "s.e.   0.0203   0.0210  0.0199      2e-04\n",
       "\n",
       "sigma^2 estimated as 0.0001765:  log likelihood = 7037.55,  aic = -14065.09"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gspcrt.ma <- arima(gspcrt, order=c(0,0,3))\n",
    "gspcrt.ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tbVbDmdlnTb9KffyvKnJ/02jc8X8oRu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\ngg==",
      "text/plain": [
       "Plot with title “Series  gspcrt.ma$res[-1]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf(gspcrt.ma$res[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We've now examined two major time series models in detail, namely the Autogressive model of order p, AR(p) and then Moving Average of order q, MA(q). We've seen that they're both capable of explaining away some of the autocorrelation in the residuals of first order differenced daily log prices of equities and indices, but volatility clustering and long-memory effects persist.\n",
    "\n",
    "It is finally time to turn our attention to the combination of these two models, namely the ** Autoregressive Moving Average of order p,q, ARMA(p,q)** to see if it will improve the situation any further."
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