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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
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"display_name": "Python 3.7.7 64-bit ('base': conda)"
},
"colab": {
"name": "RatingByMachLearn.ipynb",
"provenance": [],
"include_colab_link": true
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/DavidY1058/a6be1451adfcd2b5de541f229a04cabd/ratingbymachlearn.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "JLoFzuxY8WbC"
},
"source": [
"# Credit Rating Assignment by Supervised Learning\n",
"Various supervised learning algorithms are tested. The universe is top 1000 listed US companies in terms of market capitialisation. Non-rated companies, companies listed with the last 3 years, those with debt to asset ratio of less than 20% are filtered off.\n",
"\n",
"The goal is to train model to assign credit ratings using widely avaiable financial numbers (such as sales, EBITDA etc) and compare that to S&P ratings\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "1az0DVi28WbH"
},
"source": [
"import math\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from scipy import stats\n",
"from scipy.stats import norm, skew \n",
"from scipy.special import boxcox1p"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Ex6ztBnA8WbI"
},
"source": [
"rawdata = pd.read_excel('USRatingData.xlsx', sheet_name='data', skiprows=6, usecols='B:AP', index_col=0)\n",
"targetCol, rndSeed, CVFold, pctTestData = 'SnPRtgScale', 123456, 5, 0.33\n",
"#set skewnessThres to None if do not use Box-Cox transformation\n",
"skewnessThres, boxCoxLambda = 3.0, 0.5"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "NukrthrJ8WbI",
"outputId": "d4c0bbaa-e821-4eaa-f710-ef54f49b27a8"
},
"source": [
"# The business models of financial companies are very different\n",
"# from those of industrial companies. Different ratios need to\n",
"# be tracked. We are likely to need different models. \n",
" \n",
"# Financial (GICS=40) and real estate (GICS=60) are dropped \n",
"# from the dataset in the meantime. companies tend to have \n",
"# a quite different set of ratios. \n",
"data = rawdata.copy()\n",
"data = data.loc[~data.GICSSctrCode.isin([40,60]),:]\n",
"print(f\"Number of samples: {data.shape[0]}\")\n",
"print(\"Field names: \")\n",
"print(data.columns)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of samples: 451\n",
"Field names: \n",
"Index(['SnPIssuerRating', 'SnPIssuerNoWatch', 'SnPRtgScale', 'GICSIndustry',\n",
" 'GICSSctrCode', 'GICSIndCode', 'MktCap', 'NetDebt', 'TotalDebt', 'EV',\n",
" 'TotalAsset', 'ComEqty', 'Sales_T12', 'NetInc_T12', 'FCF_T12',\n",
" 'CFO_T12', 'InterestExpense', 'EBITDA_T12', 'DeprAmort_T12',\n",
" 'TotalEquity', 'QuickRatio', 'CashConvCycle', 'GrossMargin_T12',\n",
" 'TobinQ', 'QtrSalesSD', 'Sales_Dec20', 'Sales_Dec19', 'Sales_Dec18',\n",
" 'Sales_Dec17', 'Sales_Dec16', 'Sales_Dec15', 'Sales_Dec14',\n",
" 'EBITDA_Dec20', 'EBITDA_Dec19', 'EBITDA_Dec18', 'EBITDA_Dec17',\n",
" 'EBITDA_Dec16', 'EBITDA_Dec15', 'EBITDA_Dec14', 'PXVOL_260D'],\n",
" dtype='object')\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NUoAyQwk8WbK",
"outputId": "64491217-2e7f-4d0a-82da-836e437c99c3"
},
"source": [
"print('Sample data')\n",
"data.loc[['MSFT', 'WMT', 'XOM', 'GE', 'F']]"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Sample data\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
" SnPIssuerRating SnPIssuerNoWatch SnPRtgScale \\\n",
"Ticker \n",
"MSFT AAA AAA 1 \n",
"WMT AA AA 3 \n",
"XOM AA- AA- 4 \n",
"GE BBB+ *- BBB+ 8 \n",
"F BB+ BB+ 11 \n",
"\n",
" GICSIndustry GICSSctrCode GICSIndCode MktCap \\\n",
"Ticker \n",
"MSFT Software & Services 45 4510 1966.557339 \n",
"WMT Food & Staples Retailing 30 3010 396.108451 \n",
"XOM Energy 10 1010 239.871400 \n",
"GE Capital Goods 20 2010 117.626481 \n",
"F Automobiles & Components 25 2510 48.812358 \n",
"\n",
" NetDebt TotalDebt EV ... Sales_Dec15 Sales_Dec14 \\\n",
"Ticker ... \n",
"MSFT -54417.0 82110.0 1.629195e+06 ... 90072.0 93456.0 \n",
"WMT 45505.0 63246.0 4.484333e+05 ... 482130.0 485651.0 \n",
"XOM 68442.0 72806.0 2.499063e+05 ... 236810.0 363516.0 \n",
"GE -30342.0 78039.0 6.585332e+04 ... 115159.0 130550.0 \n",
"F -7216.0 162998.0 2.787773e+04 ... 149558.0 144077.0 \n",
"\n",
" EBITDA_Dec20 EBITDA_Dec19 EBITDA_Dec18 EBITDA_Dec17 EBITDA_Dec16 \\\n",
"Ticker \n",
"MSFT 74284.0 63174.0 51563.0 41410.0 34492.0 \n",
"WMT 33700.0 33564.0 32635.0 30966.0 32844.0 \n",
"XOM 15356.0 31588.0 39584.0 31967.0 23244.0 \n",
"GE 1659.0 6690.0 -15374.0 -5543.0 15262.0 \n",
"F 3049.0 13056.0 13715.0 13334.0 14503.0 \n",
"\n",
" EBITDA_Dec15 EBITDA_Dec14 PXVOL_260D \n",
"Ticker \n",
"MSFT 24359.0 33022.0 29.326150 \n",
"WMT 33559.0 36320.0 21.682393 \n",
"XOM 30931.0 51379.0 44.334305 \n",
"GE 13271.0 18726.0 50.132095 \n",
"F 14947.0 7755.0 45.047843 \n",
"\n",
"[5 rows x 40 columns]"
],
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>SnPIssuerRating</th>\n",
" <th>SnPIssuerNoWatch</th>\n",
" <th>SnPRtgScale</th>\n",
" <th>GICSIndustry</th>\n",
" <th>GICSSctrCode</th>\n",
" <th>GICSIndCode</th>\n",
" <th>MktCap</th>\n",
" <th>NetDebt</th>\n",
" <th>TotalDebt</th>\n",
" <th>EV</th>\n",
" <th>...</th>\n",
" <th>Sales_Dec15</th>\n",
" <th>Sales_Dec14</th>\n",
" <th>EBITDA_Dec20</th>\n",
" <th>EBITDA_Dec19</th>\n",
" <th>EBITDA_Dec18</th>\n",
" <th>EBITDA_Dec17</th>\n",
" <th>EBITDA_Dec16</th>\n",
" <th>EBITDA_Dec15</th>\n",
" <th>EBITDA_Dec14</th>\n",
" <th>PXVOL_260D</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Ticker</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>MSFT</th>\n",
" <td>AAA</td>\n",
" <td>AAA</td>\n",
" <td>1</td>\n",
" <td>Software &amp; Services</td>\n",
" <td>45</td>\n",
" <td>4510</td>\n",
" <td>1966.557339</td>\n",
" <td>-54417.0</td>\n",
" <td>82110.0</td>\n",
" <td>1.629195e+06</td>\n",
" <td>...</td>\n",
" <td>90072.0</td>\n",
" <td>93456.0</td>\n",
" <td>74284.0</td>\n",
" <td>63174.0</td>\n",
" <td>51563.0</td>\n",
" <td>41410.0</td>\n",
" <td>34492.0</td>\n",
" <td>24359.0</td>\n",
" <td>33022.0</td>\n",
" <td>29.326150</td>\n",
" </tr>\n",
" <tr>\n",
" <th>WMT</th>\n",
" <td>AA</td>\n",
" <td>AA</td>\n",
" <td>3</td>\n",
" <td>Food &amp; Staples Retailing</td>\n",
" <td>30</td>\n",
" <td>3010</td>\n",
" <td>396.108451</td>\n",
" <td>45505.0</td>\n",
" <td>63246.0</td>\n",
" <td>4.484333e+05</td>\n",
" <td>...</td>\n",
" <td>482130.0</td>\n",
" <td>485651.0</td>\n",
" <td>33700.0</td>\n",
" <td>33564.0</td>\n",
" <td>32635.0</td>\n",
" <td>30966.0</td>\n",
" <td>32844.0</td>\n",
" <td>33559.0</td>\n",
" <td>36320.0</td>\n",
" <td>21.682393</td>\n",
" </tr>\n",
" <tr>\n",
" <th>XOM</th>\n",
" <td>AA-</td>\n",
" <td>AA-</td>\n",
" <td>4</td>\n",
" <td>Energy</td>\n",
" <td>10</td>\n",
" <td>1010</td>\n",
" <td>239.871400</td>\n",
" <td>68442.0</td>\n",
" <td>72806.0</td>\n",
" <td>2.499063e+05</td>\n",
" <td>...</td>\n",
" <td>236810.0</td>\n",
" <td>363516.0</td>\n",
" <td>15356.0</td>\n",
" <td>31588.0</td>\n",
" <td>39584.0</td>\n",
" <td>31967.0</td>\n",
" <td>23244.0</td>\n",
" <td>30931.0</td>\n",
" <td>51379.0</td>\n",
" <td>44.334305</td>\n",
" </tr>\n",
" <tr>\n",
" <th>GE</th>\n",
" <td>BBB+ *-</td>\n",
" <td>BBB+</td>\n",
" <td>8</td>\n",
" <td>Capital Goods</td>\n",
" <td>20</td>\n",
" <td>2010</td>\n",
" <td>117.626481</td>\n",
" <td>-30342.0</td>\n",
" <td>78039.0</td>\n",
" <td>6.585332e+04</td>\n",
" <td>...</td>\n",
" <td>115159.0</td>\n",
" <td>130550.0</td>\n",
" <td>1659.0</td>\n",
" <td>6690.0</td>\n",
" <td>-15374.0</td>\n",
" <td>-5543.0</td>\n",
" <td>15262.0</td>\n",
" <td>13271.0</td>\n",
" <td>18726.0</td>\n",
" <td>50.132095</td>\n",
" </tr>\n",
" <tr>\n",
" <th>F</th>\n",
" <td>BB+</td>\n",
" <td>BB+</td>\n",
" <td>11</td>\n",
" <td>Automobiles &amp; Components</td>\n",
" <td>25</td>\n",
" <td>2510</td>\n",
" <td>48.812358</td>\n",
" <td>-7216.0</td>\n",
" <td>162998.0</td>\n",
" <td>2.787773e+04</td>\n",
" <td>...</td>\n",
" <td>149558.0</td>\n",
" <td>144077.0</td>\n",
" <td>3049.0</td>\n",
" <td>13056.0</td>\n",
" <td>13715.0</td>\n",
" <td>13334.0</td>\n",
" <td>14503.0</td>\n",
" <td>14947.0</td>\n",
" <td>7755.0</td>\n",
" <td>45.047843</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5 rows × 40 columns</p>\n",
"</div>"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Douf9P9Y8WbL"
},
"source": [
"## Feature Engineering\n",
"In the dataset, most of the data fields are quantitative data available from financial reports\n",
"such as total asset, EV, FCF for last 12 months, annual sales and EBITDA from 2014 to 2020, \n",
"along with 260-day price volatility and sector classification for each company in the data set.\n",
"\n",
"Financial ratios help standardising the numbers with respect to the company sizes. They are \n",
"expected to be more useful features. The data was collected in Apr 2021. The covid impact was\n",
"severe for many companies for FY20. To discern the long term financial performance, avg between \n",
"FY18 and FY19 sales and EBITDA are taken as pre-covid figures. While the adjustment may seem \n",
"a bit ad hoc, it is difficult to avoid. Rating agencies rely on similar adjustment as well \n",
"for impacts deemed one-off."
]
},
{
"cell_type": "code",
"metadata": {
"tags": [],
"id": "Y10u_Ut88WbL"
},
"source": [
"def growthFn(t, x0_arr, xn_arr):\n",
" ansArr = []\n",
" for x0, xn in zip(x0_arr, xn_arr): \n",
" if math.isnan(x0) or math.isnan(xn):\n",
" ansArr.append(float('nan')) \n",
" continue\n",
" if xn>=0.0 and x0<=0.0:\n",
" ans = 1.0\n",
" elif xn<=0.0 and x0>=0.0:\n",
" ans = -1.0\n",
" elif xn<=0.0 and x0<=0.0: \n",
" ans = math.exp(1.0/t*(math.log(-x0)-math.log(-xn)))-1.0\n",
" else:\n",
" ans = math.exp(1.0/t*(math.log(xn)-math.log(x0)))-1.0\n",
" ansArr.append(ans)\n",
" return ansArr\n",
"\n",
"def calcMargin(earning, sale):\n",
" m = earning/ sale\n",
" m = np.where(m>1.0, 1.0, m) \n",
" return np.where(m<-1.0, -1.0, m) \n",
"\n",
"origFields = data.columns\n",
"\n",
"# PreCvd = pre-covid data = avg between 2018 and 2019 \n",
"data['MktCap'] = data['MktCap'] *1000.0\n",
"data['EBIT_T12'] = data['EBITDA_T12']-data['DeprAmort_T12']\n",
"data['PreCvdSales'] = (data['Sales_Dec19'] + data['Sales_Dec18'])*0.5\n",
"data['PreCvdEbitda'] = (data['EBITDA_Dec19'] + data['EBITDA_Dec18'])*0.5\n",
"\n",
"# generate sales and EBITDA growth for different timeframes\n",
"data['SaleGrowth5Y'] = growthFn(5.0, data['Sales_Dec15'], data['Sales_Dec20']) \n",
"data['SaleGrowth3Y'] = growthFn(3.0, data['Sales_Dec17'], data['Sales_Dec20'])\n",
"data['SaleGrowth1Y'] = growthFn(1.0, data['Sales_Dec19'], data['Sales_Dec20'])\n",
"data['PreCvdSaleGrowth3Y'] = growthFn(3.0, data['Sales_Dec16'], data['Sales_Dec19'])\n",
"\n",
"data['EbitdaGrowth5Y'] = growthFn(5.0, data['EBITDA_Dec15'], data['EBITDA_Dec20']) \n",
"data['EbitdaGrowth3Y'] = growthFn(3.0, data['EBITDA_Dec17'], data['EBITDA_Dec20'])\n",
"data['EbitdaGrowth1Y'] = growthFn(1.0, data['EBITDA_Dec19'], data['EBITDA_Dec20'])\n",
"data['PreCvdEbitdaGrow3Y'] = growthFn(3.0, data['EBITDA_Dec16'], data['EBITDA_Dec19'])\n",
"\n",
"data['logMktCap'] = np.log10(data['MktCap']/1e3) #10bn:1, 100bn:2, 1tr:3\n",
"data['logEV'] = np.log10(data['EV']/1e3) #10bn:1, 100bn:2, 1tr:3\n",
"\n",
"# Generate financial ratios form profit margin, FCF yield to leverage\n",
"data['NetDebtToMktCap'] = data['NetDebt']/data['MktCap']\n",
"data['TotDebtToMktCap'] = data['TotalDebt']/data['MktCap']\n",
"data['EarningYield'] = data['NetInc_T12']/data['MktCap'] #inverse of P/E\n",
"data['SalesToPrice'] = data['Sales_T12']/data['MktCap'] #inverse of P/S\n",
"data['PreCvdSalesToPx'] = data['PreCvdSales']/data['MktCap'] #inverse of P/S\n",
"data['EbitdaToPrice'] = data['EBITDA_T12']/data['MktCap'] \n",
"data['PreCvdEbitdaToPx'] = data['PreCvdEbitda']/data['MktCap'] \n",
"data['BVToPrice'] = data['ComEqty']/data['MktCap'] #inverse of P/B\n",
"data['FCFYield'] = data['FCF_T12']/data['MktCap'] \n",
"\n",
"data['EbitMargin'] = calcMargin(data['EBIT_T12'], data['Sales_T12'])\n",
"data['EbitdaMargin'] = calcMargin(data['EBITDA_T12'], data['Sales_T12'])\n",
"data['PreCvdEbitdaMarg'] = calcMargin(data['PreCvdEbitda'], data['PreCvdSales'])\n",
"data['ProfitMargin'] = calcMargin(data['NetInc_T12'], data['Sales_T12'])\n",
"\n",
"data['EbitdaToEV'] = data['EBITDA_T12']/data['EV']\n",
"data['PreCvdEbitdaToEV'] = data['PreCvdEbitda']/data['EV']\n",
"data['NetDebtToEV'] = data['NetDebt']/data['EV']\n",
"data['TotDebtToEV'] = data['TotalDebt']/data['EV']\n",
"data['FCFToEV'] = data['FCF_T12']/data['EV']\n",
"\n",
"data['NetDebtToAsset'] = data['NetDebt']/data['TotalAsset']\n",
"data['TotalDebtToAsset'] = data['TotalDebt']/data['TotalAsset']\n",
"data['ReturnOnAsset'] = data['NetInc_T12']/data['TotalAsset']\n",
"\n",
"data['InvGrossLev'] = data['EBITDA_T12']/data['TotalDebt'] #inverse of gross leverage\n",
"data['PreCvdInvGrossLev'] = data['PreCvdEbitda']/data['TotalDebt']\n",
"\n",
"inv_net_lev = data['EBITDA_T12']/data['NetDebt'] #inverse of net leverage\n",
"data['InvNetLev'] = np.where(data['NetDebt']<=0.0, max(inv_net_lev), inv_net_lev)\n",
"inv_net_lev = data['PreCvdEbitda']/data['NetDebt'] #inverse of net leverage\n",
"data['PreCvdInvNetLev'] = np.where(data['NetDebt']<=0.0, max(inv_net_lev), inv_net_lev)\n",
"\n",
"data['TotDebtToComEqy'] = data['TotalDebt']/data['ComEqty']\n",
"data['EBITtoIntExp'] = data['EBIT_T12']/data['InterestExpense'] #inverse of intersest coverage\n",
"data['CFOToTotalDebt'] = data['CFO_T12']/data['TotalDebt']\n",
"daToCFO = data['DeprAmort_T12']/data['CFO_T12']\n",
"data['DeprAmortToCFO'] = np.where((daToCFO<0.0)|(daToCFO>1.0), 1.0, daToCFO)\n",
"\n",
"data['RevVolAdjGrossLev'] = data['PreCvdInvGrossLev']/data['QtrSalesSD']\n",
"data['Px1YHisVolRel'] = data['PXVOL_260D']/np.median(data['PXVOL_260D'])\n",
"data['PxVolAdjGrossLev'] = data['PreCvdInvGrossLev']/data['Px1YHisVolRel']\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"tags": [],
"id": "wcX6cEZc8WbO"
},
"source": [
"# Create new feature by comparing ratio to the sector mean.\n",
"sctrMean = data.groupby('GICSSctrCode').mean()\n",
"invGrossLevBySctr = dict(sctrMean.PreCvdInvGrossLev)\n",
"data['InvGrossLevVsSctr'] = data.apply(lambda x: x.PreCvdInvGrossLev-invGrossLevBySctr[x.GICSSctrCode], axis=1)\n",
"\n",
"roABySctr = dict(sctrMean.ReturnOnAsset)\n",
"data['RoAVsSctr'] = data.apply(lambda x: x.ReturnOnAsset-roABySctr[x.GICSSctrCode], axis=1)\n",
"\n",
"ebitdaToEVBySctr = dict(sctrMean.EbitdaToEV)\n",
"data['ebitdaToEVVsSctr'] = data.apply(lambda x: x.EbitdaToEV-ebitdaToEVBySctr[x.GICSSctrCode], axis=1)\n",
"\n",
"ebitdaMargBySctr = dict(sctrMean.PreCvdEbitdaMarg)\n",
"data['ebitdaMargVsSctr'] = data.apply(lambda x: x.PreCvdEbitdaMarg-ebitdaMargBySctr[x.GICSSctrCode], axis=1)\n",
"\n",
"ebitdaGrowBySctr = dict(sctrMean.EbitdaGrowth5Y)\n",
"data['ebitdaGrowVsSctr'] = data.apply(lambda x: x.EbitdaGrowth5Y-ebitdaGrowBySctr[x.GICSSctrCode], axis=1)\n",
"\n",
"salesGrowBySctr = dict(sctrMean.SaleGrowth5Y)\n",
"data['salesGrowVsSctr'] = data.apply(lambda x: x.SaleGrowth5Y-salesGrowBySctr[x.GICSSctrCode], axis=1)\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "kaglEDCV8WbO"
},
"source": [
"# Drop unused or data fields already used to generate other ratios\n",
"colToKeep = ['CashConvCycle', 'GICSSctrCode', 'GrossMargin_T12', 'QtrSalesSD', 'QuickRatio', 'SnPRtgScale', 'TobinQ']\n",
"colToRemove = set(origFields)-set(colToKeep)\n",
"colToRemove = list(colToRemove) + ['EBIT_T12','PreCvdSales','PreCvdEbitda']\n",
"data.drop(colToRemove, axis=1, inplace=True)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "syotvfNb8WbP"
},
"source": [
"## Missing Data\n",
"Features with missing data news to be filled or dropped. A number of algorithms to be used do not accept None or NA.\n",
"\n",
"There are two main sets of features with missing data. In the case of the 3Y and 5Y growth rate features, some of the companies do not have full set of historical annual report (e.g. listed in the last 5 years). The most appropriate assumption is to set the growth rates to zero.\n",
"\n",
"CashConvCycle and GrossMargin are not avaiable for companies in some sectors. Gross Margin needs COGS and COGS is hard to define for e.g. financial and transport companies. In the case of CashConvCycle, the inventory turnover is required and this is not avaialble for many companies e.g. service oriented ones. The ones with missing data are replaced by the group median. A new field (e.g. HasCashConvCycle) is created to track those of which the data is missing. "
]
},
{
"cell_type": "code",
"metadata": {
"id": "_CZ2eOY88WbP",
"outputId": "08f13303-2fdc-4722-9ce2-03c248db237e"
},
"source": [
"data_na = data.isnull().mean().sort_values(ascending=False)\n",
"print(\"Fields with highest proportion of missing data\")\n",
"data_na.head(min(10,sum(data_na > 0.0)))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Fields with highest proportion of missing data\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"CashConvCycle 0.221729\n",
"GrossMargin_T12 0.064302\n",
"ebitdaGrowVsSctr 0.057650\n",
"EbitdaGrowth5Y 0.057650\n",
"SaleGrowth5Y 0.053215\n",
"salesGrowVsSctr 0.053215\n",
"PreCvdEbitdaGrow3Y 0.033259\n",
"PreCvdSaleGrowth3Y 0.031042\n",
"EbitdaGrowth3Y 0.022173\n",
"SaleGrowth3Y 0.017738\n",
"dtype: float64"
]
},
"metadata": {
"tags": []
},
"execution_count": 8
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "D-R3M6-x8WbQ"
},
"source": [
"for col in ('EbitdaGrowth5Y', 'SaleGrowth5Y', 'PreCvdEbitdaGrow3Y', 'PreCvdSaleGrowth3Y','EbitdaGrowth3Y', 'SaleGrowth3Y', 'ebitdaGrowVsSctr', 'salesGrowVsSctr'):\n",
" data[col] = data[col].fillna(0.0)\n",
"\n",
"data['HasCashConvCycle'] = np.where(data.loc[:,'CashConvCycle'].isnull(), 0, 1)\n",
"data['CashConvCycle'] = data['CashConvCycle'].fillna(data.CashConvCycle.median())\n",
"\n",
"data['HasGrossMargin'] = np.where(data.loc[:,'GrossMargin_T12'].isnull(), 0, 1)\n",
"data['GrossMargin_T12'] = data['GrossMargin_T12'].fillna(data.GrossMargin_T12.median())"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "O5J-fWsz8WbR",
"outputId": "d974ec5e-1677-4027-9b99-4876434bc31f"
},
"source": [
"#Now there should be no missing data\n",
"data_na = data.isnull().mean().sort_values(ascending=False)\n",
"print(\"Missing Data\")\n",
"data_na.head(min(10,sum(data_na > 0.0)))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Missing Data\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Series([], dtype: float64)"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cbNlqkbW8WbR"
},
"source": [
"## Correction for skewness"
]
},
{
"cell_type": "code",
"metadata": {
"id": "btkR8D9g8WbS",
"outputId": "9e5f9a46-0499-4f77-d18b-e222d0ec6e77"
},
"source": [
"#The columns that are target or indicators do not need to be correct for skewness\n",
"#Their types are int32 or int64\n",
"data.dtypes[ (data.dtypes == \"int32\") | (data.dtypes == \"int64\") ]"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"SnPRtgScale int64\n",
"GICSSctrCode int64\n",
"HasCashConvCycle int32\n",
"HasGrossMargin int32\n",
"dtype: object"
]
},
"metadata": {
"tags": []
},
"execution_count": 11
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "BnhMuB5H8WbS",
"outputId": "15709eb9-3a30-47c5-8c39-be9a900e0e55"
},
"source": [
"#Some features have high degree of skewness\n",
"featuresToChck = data.dtypes[data.dtypes == \"float\"].index\n",
"skewCalc = data[featuresToChck].apply(lambda x: skew(x.dropna())).sort_values(ascending=False)\n",
"def boxcoxFn(x, lmbda=0.25):\n",
" #BoxCox is applicable for positive number only. The data set need to be shifted if some numbers are negative\n",
" adj = -min(x) if min(x) < 0.0 else 0.0\n",
" return boxcox1p(x+adj, lmbda)\n",
"\n",
"appliedBoxCox = []\n",
"if skewnessThres is not None:\n",
" for s in skewCalc.index:\n",
" #if abs(skewCalc.loc[s])>skewnessThres:\n",
" if skewCalc.loc[s]>skewnessThres:\n",
" data[s] = boxcoxFn(data[s], boxCoxLambda) \n",
" appliedBoxCox.append(s)\n",
"print(f\"Applied Box-Cox on: {appliedBoxCox}\")"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Applied Box-Cox on: ['CashConvCycle', 'TotDebtToEV', 'EBITtoIntExp', 'TotDebtToComEqy', 'EbitdaGrowth3Y', 'EbitdaGrowth1Y', 'SalesToPrice', 'Px1YHisVolRel', 'TobinQ', 'RevVolAdjGrossLev', 'PreCvdSalesToPx', 'PreCvdInvNetLev', 'InvNetLev', 'TotDebtToMktCap', 'QtrSalesSD', 'NetDebtToMktCap']\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "cLp5_eg18WbT",
"outputId": "e730971e-f344-4a67-daff-fe646c6e2146"
},
"source": [
"print(\"Skew distribution for different features\")\n",
"fig, ax = plt.subplots(1,2, figsize=(12,5))\n",
"skewCalc.plot(kind='box', label='', ax=ax[0], title='Prior to Transform')\n",
"postskewCalc = data[featuresToChck].apply(lambda x: skew(x.dropna())).sort_values(ascending=False)\n",
"postskewCalc.plot(kind='box', label='', ax=ax[1], title='Post Box-Cox Transform')"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Skew distribution for different features\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x290478aa048>"
]
},
"metadata": {
"tags": []
},
"execution_count": 13
},
{
"output_type": "display_data",
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G/lrSaZLutP12SftrigBCz0Y90bNRFIZDAEBa1klaZ3uTpN2SLpw8FAIAUkAIBoCERMRuSecXXQcAFI27Q6AZrSm6AADAtNGzUYhCLowDAAAAisSZYAAAACSHEAwAAIDkEIIBAACQHEIwAAAAkkMIBgAAQHL+H/XECggut6oBAAAAAElFTkSuQmCC\n"
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "0IhoL05r8WbT"
},
"source": [
"## Data Visualisation\n",
"### Target distribution"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Mw2BCflA8WbT",
"outputId": "c20775f7-cdc8-44a0-c638-4b9e9dc22884"
},
"source": [
"fig, ax = plt.subplots(1,2, figsize=(12,5))\n",
"sns.distplot(data.loc[:,targetCol], fit=norm, ax=ax[0])\n",
"res = stats.probplot(data.loc[:,targetCol], plot=ax[1])\n",
"print('S&P Rating Scale is AAA:1, BBB-:10, CCC+:17')"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"S&P Rating Scale is AAA:1, BBB-:10, CCC+:17\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 864x360 with 2 Axes>"
],
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\n"
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2ZdwKmiu8WbU"
},
"source": [
"### Correlation matrix for the features\n",
"Note the first row/column is the target (SnPRtgScale)."
]
},
{
"cell_type": "code",
"metadata": {
"id": "JAiwZxXX8WbU",
"outputId": "7e837c6a-99f8-44de-e793-3e2413edc23e"
},
"source": [
"corrmat = data.corr()\n",
"plt.subplots(figsize=(12,9))\n",
"sns.heatmap(corrmat, vmax=0.9, square=True, cmap='vlag')"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x29048175d88>"
]
},
"metadata": {
"tags": []
},
"execution_count": 15
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 864x648 with 2 Axes>"
],
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