CompareModels.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Method definition f(Any, Any) in module BeyondHulten at /home/franzs/Schreibtisch/BeyondHulten/src/cobbdouglas.jl:85 overwritten at /home/franzs/Schreibtisch/BeyondHulten/src/cobbdouglas.jl:94.\n",
      "ERROR: Method overwriting is not permitted during Module precompilation. Use `__precompile__(false)` to opt-out of precompilation.\n"
     ]
    }
   ],
   "source": [
    "using BeyondHulten"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Data(\u001b[1m84×87 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m Sektoren                          \u001b[0m\u001b[1m Erz. d. Landwirtschaft, Jagd und Die\u001b[0m ⋯\n",
       "     │\u001b[90m String                            \u001b[0m\u001b[90m Int64                               \u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ Erz. d. Landwirtschaft, Jagd und…                                       ⋯\n",
       "   2 │ Forstwirtschaftl. Erzeugnisse un…\n",
       "   3 │ Fische, Fischerei- und Aquakultu…\n",
       "   4 │ Kohle\n",
       "   5 │ Erdöl und Erdgas                                                        ⋯\n",
       "   6 │ Erze, Steine und Erden, sonstige…\n",
       "   7 │ Nahrungs- u. Futtermittel, Geträ…\n",
       "   8 │ Textilien, Bekleidung, Leder und…\n",
       "  ⋮  │                 ⋮                                          ⋮            ⋱\n",
       "  78 │ Bruttolöhne und -gehälter                                               ⋯\n",
       "  79 │ Sonst.Produktionsabgaben abzgl. …\n",
       "  80 │ Abschreibungen\n",
       "  81 │ Nettobetriebsüberschuss\n",
       "  82 │ Bruttowertschöpfung                                                     ⋯\n",
       "  83 │ Produktionswert\n",
       "  84 │ Produktionswert: firmenint. Lief…\n",
       "\u001b[36m                                                  86 columns and 69 rows omitted\u001b[0m, [0.2159974180360937 0.00021516365885801888 … 0.0 0.00010758182942900944; 0.019691780821917807 0.2842465753424658 … 0.0 0.003139269406392694; … ; 0.0 0.0 … 0.0 0.0; 0.0011100832562442183 9.250693802035152e-5 … 0.0002775208140610546 0.5422756706753007], [0.006120048021212256, 0.0012912676842368877, 6.607386224688323e-5, 0.000473058755967232, 0.00031377406272637646, 0.002030477061520479, 0.007970351966267742, 0.001390000282214634, 0.002146613750772613, 0.005501930189348169  …  0.050760944130289296, 0.009015282610099753, 0.04375683612201715, 0.036834026642969975, 0.006772918677978368, 0.007028597872660466, 0.004274779932152938, 0.010070606670276183, 0.0009947980616821822, 0.011541044567363445], [0.33869040952700935, 0.5536193029490617, 0.37474541751527496, 0.4088888888888889, 0.5505084745762712, 0.33076923076923076, 0.21807865892972275, 0.2916315205327414, 0.2540205538558092, 0.23447542319181677  …  0.627565017008669, 0.6781704551739395, 0.7656068719321731, 0.6808288921308839, 0.651309137981537, 0.6442910187978649, 0.5929179709852234, 0.7169902465955098, 0.6560055223193741, 0.6805914494572842], [0.017693930084304938, 0.0022174384325610048, 0.00016216298337614748, 0.000966042212576846, 0.00048714949181225545, 0.00467993782981672, 0.06403125947464477, 0.007439350713946478, 0.008419924843567217, 0.014594007962169461  …  0.08427322910425925, 0.011943254185026973, 0.05921095653701774, 0.0776496473698221, 0.03495355401150268, 0.011385096462204794, 0.009812016442203593, 0.014357534039364322, 0.0014353570789261444, 0.017891432047765086], [0.00599276442639551, 0.0012276167193668835, 6.0769834910816976e-5, 0.00039500392692031036, 0.00026817992362817043, 0.0015479794360162996, 0.013963851195811637, 0.0021695491604845464, 0.002138833972187232, 0.003421936192994428  …  0.05288693045618991, 0.0080995621269178, 0.04533231521841801, 0.05286612339314979, 0.022765569132622905, 0.007335315398745894, 0.005817720880185005, 0.010294211871387252, 0.0009416021702757565, 0.012176755670254946], [0.30598797924366294, 0.47810545129579984, 0.3910386965376782, 0.0071794871794871795, 0.6298305084745762, 0.07205363443895554, 0.7377949709864603, 0.7731853496115427, 0.43582803796971836, 0.46345161582330047  …  0.8235958050508693, 0.9108456390686356, 0.8401829540383757, 0.9399087231879681, 0.9917511551217484, 0.8382455326061731, 0.5555218957218351, 0.8031376518218624, 0.44201564657156006, 0.8004504171896921], [53574.0, 6714.0, 491.0, 2925.0, 1475.0, 14170.0, 193875.0, 22525.0, 25494.0, 44188.0  …  255164.0, 36162.0, 179280.0, 235109.0, 105833.0, 34472.0, 29709.0, 43472.0, 4346.0, 54172.0])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = Data(\"I-O_DE2019_formatiert.csv\") #reading in data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "CESElasticities(0.001, 0.5, 0.9)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cd_elasticities = CobbDouglasElasticities(data.factor_share, 1 .- data.factor_share) #setting elasticities for cobb douglas model, as factor shares\n",
    "ces_elasticities = CESElasticities(0.001, 0.5, 0.9) #setting elasticities for CES model as in B&F  Model\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Shocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Demand shock to sector Vorb.Baustellen-,Bauinstallations-,Ausbauarbeiten: 1.4097957577943152\n"
     ]
    }
   ],
   "source": [
    "demand_shock = ones(71)\n",
    "supply_shock = ones(71)\n",
    "shocks = Shocks(demand_shock, supply_shock)\n",
    "sector = [\"Vorb.Baustellen-,Bauinstallations-,Ausbauarbeiten\"]\n",
    "investment = [50000] \n",
    "calculate_investment!(shocks, data, investment, sector) #50 Billion Euro investment in construction sector\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>71×7 DataFrame</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">46 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">prices</th><th style = \"text-align: left;\">quantities</th><th style = \"text-align: left;\">sectors</th><th style = \"text-align: left;\">value_added_absolute</th><th style = \"text-align: left;\">value_added_nominal_absolute</th><th style = \"text-align: left;\">value_added_nominal_relative</th><th style = \"text-align: left;\">value_added_relative</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"String\" style = \"text-align: left;\">String</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">0.88314</td><td style = \"text-align: right;\">0.0179409</td><td style = \"text-align: left;\">Erz. d. Landwirtschaft, Jagd und Dienstleistungen</td><td style = \"text-align: right;\">110.338</td><td style = \"text-align: right;\">97.444</td><td style = \"text-align: right;\">0.0053703</td><td style = \"text-align: right;\">0.00608091</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: right;\">0.513333</td><td style = \"text-align: right;\">0.00312512</td><td style = \"text-align: left;\">Forstwirtschaftl. Erzeugnisse und Dienstleistungen</td><td style = \"text-align: right;\">6.05295</td><td style = \"text-align: right;\">3.10718</td><td style = \"text-align: right;\">0.000835936</td><td style = \"text-align: right;\">0.00162845</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: right;\">0.492164</td><td style = \"text-align: right;\">0.000209369</td><td style = \"text-align: left;\">Fische, Fischerei- und Aquakulturerzeugnisse, DL</td><td style = \"text-align: right;\">0.00738858</td><td style = \"text-align: right;\">0.00363639</td><td style = \"text-align: right;\">1.9763e-5</td><td style = \"text-align: right;\">4.01554e-5</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: right;\">0.663861</td><td style = \"text-align: right;\">0.00111863</td><td style = \"text-align: left;\">Kohle</td><td style = \"text-align: right;\">0.444275</td><td style = \"text-align: right;\">0.294937</td><td style = \"text-align: right;\">0.000246603</td><td style = \"text-align: right;\">0.000371467</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: right;\">0.564692</td><td style = \"text-align: right;\">0.000644021</td><td style = \"text-align: left;\">Erdöl und Erdgas</td><td style = \"text-align: right;\">0.23999</td><td style = \"text-align: right;\">0.135521</td><td style = \"text-align: right;\">0.000166897</td><td style = \"text-align: right;\">0.000295555</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: right;\">0.660186</td><td style = \"text-align: right;\">0.00537297</td><td style = \"text-align: left;\">Erze, Steine und Erden, sonstige Bergbauerz., DL</td><td style = \"text-align: right;\">6.99027</td><td style = \"text-align: right;\">4.61488</td><td style = \"text-align: right;\">0.000984613</td><td style = \"text-align: right;\">0.00149142</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: right;\">0.883434</td><td style = \"text-align: right;\">0.0650779</td><td style = \"text-align: left;\">Nahrungs- u. Futtermittel, Getränke, Tabakerzeugn.</td><td style = \"text-align: right;\">604.689</td><td style = \"text-align: right;\">534.203</td><td style = \"text-align: right;\">0.0126349</td><td style = \"text-align: right;\">0.014302</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: right;\">0.718889</td><td style = \"text-align: right;\">0.00780374</td><td style = \"text-align: left;\">Textilien, Bekleidung, Leder und Lederwaren</td><td style = \"text-align: right;\">13.3487</td><td style = \"text-align: right;\">9.59627</td><td style = \"text-align: right;\">0.00146084</td><td style = \"text-align: right;\">0.00203208</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: right;\">0.587437</td><td style = \"text-align: right;\">0.00966231</td><td style = \"text-align: left;\">Holz,Holz- u.Korkwaren (oh.Möbel),Flecht- u.Korbw.</td><td style = \"text-align: right;\">9.64255</td><td style = \"text-align: right;\">5.66439</td><td style = \"text-align: right;\">0.000874674</td><td style = \"text-align: right;\">0.00148897</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: right;\">0.823028</td><td style = \"text-align: right;\">0.0151875</td><td style = \"text-align: left;\">Papier, Pappe und Waren daraus</td><td style = \"text-align: right;\">35.6215</td><td style = \"text-align: right;\">29.3175</td><td style = \"text-align: right;\">0.0028296</td><td style = \"text-align: right;\">0.00343804</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: right;\">0.828518</td><td style = \"text-align: right;\">0.00593308</td><td style = \"text-align: left;\">Druckereileist., besp. Ton-, Bild- u. Datenträger</td><td style = \"text-align: right;\">13.8319</td><td style = \"text-align: right;\">11.46</td><td style = \"text-align: right;\">0.00177565</td><td style = \"text-align: right;\">0.00214316</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: right;\">0.798528</td><td style = \"text-align: right;\">0.0200146</td><td style = \"text-align: left;\">Kokerei- und Mineralölerzeugnisse</td><td style = \"text-align: right;\">1.09693</td><td style = \"text-align: right;\">0.87593</td><td style = \"text-align: right;\">0.000358694</td><td style = \"text-align: right;\">0.000449194</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: right;\">0.812201</td><td style = \"text-align: right;\">0.0568465</td><td style = \"text-align: left;\">Chemische Erzeugnisse</td><td style = \"text-align: right;\">423.629</td><td style = \"text-align: right;\">344.072</td><td style = \"text-align: right;\">0.00970256</td><td style = \"text-align: right;\">0.011946</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">60</td><td style = \"text-align: right;\">0.840595</td><td style = \"text-align: right;\">0.0121718</td><td style = \"text-align: left;\">DL v. Reisebüros, -veranstaltern u. sonst. Reserv.</td><td style = \"text-align: right;\">17.7148</td><td style = \"text-align: right;\">14.891</td><td style = \"text-align: right;\">0.00200364</td><td style = \"text-align: right;\">0.00238359</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">61</td><td style = \"text-align: right;\">0.872729</td><td style = \"text-align: right;\">0.0438678</td><td style = \"text-align: left;\">Wach-, Sicherheits-DL, wirtschaftliche DL a.n.g</td><td style = \"text-align: right;\">1886.24</td><td style = \"text-align: right;\">1646.18</td><td style = \"text-align: right;\">0.0219394</td><td style = \"text-align: right;\">0.0251389</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">62</td><td style = \"text-align: right;\">0.878166</td><td style = \"text-align: right;\">0.0851894</td><td style = \"text-align: left;\">DL d. öffentlichen Verwaltung und der Verteidigung</td><td style = \"text-align: right;\">8617.26</td><td style = \"text-align: right;\">7567.39</td><td style = \"text-align: right;\">0.0472572</td><td style = \"text-align: right;\">0.0538135</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">63</td><td style = \"text-align: right;\">0.876015</td><td style = \"text-align: right;\">0.0120428</td><td style = \"text-align: left;\">Dienstleistungen der Sozialversicherung</td><td style = \"text-align: right;\">200.17</td><td style = \"text-align: right;\">175.352</td><td style = \"text-align: right;\">0.00715021</td><td style = \"text-align: right;\">0.0081622</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">64</td><td style = \"text-align: right;\">0.881771</td><td style = \"text-align: right;\">0.0592313</td><td style = \"text-align: left;\">Erziehungs- und Unterrichtsdienstleistungen</td><td style = \"text-align: right;\">6222.74</td><td style = \"text-align: right;\">5487.03</td><td style = \"text-align: right;\">0.039976</td><td style = \"text-align: right;\">0.0453361</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">65</td><td style = \"text-align: right;\">0.89053</td><td style = \"text-align: right;\">0.0776011</td><td style = \"text-align: left;\">Dienstleistungen des Gesundheitswesens</td><td style = \"text-align: right;\">8450.28</td><td style = \"text-align: right;\">7525.23</td><td style = \"text-align: right;\">0.0470124</td><td style = \"text-align: right;\">0.0527915</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">66</td><td style = \"text-align: right;\">0.913467</td><td style = \"text-align: right;\">0.0349536</td><td style = \"text-align: left;\">Dienstleistungen von Heimen und des Sozialwesens</td><td style = \"text-align: right;\">1569.23</td><td style = \"text-align: right;\">1433.44</td><td style = \"text-align: right;\">0.0207956</td><td style = \"text-align: right;\">0.0227656</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">67</td><td style = \"text-align: right;\">0.879236</td><td style = \"text-align: right;\">0.0114712</td><td style = \"text-align: left;\">Dienstleist. der Kunst, Kultur u. des Glücksspiels</td><td style = \"text-align: right;\">164.571</td><td style = \"text-align: right;\">144.696</td><td style = \"text-align: right;\">0.00651492</td><td style = \"text-align: right;\">0.00740975</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">68</td><td style = \"text-align: right;\">0.873976</td><td style = \"text-align: right;\">0.00990453</td><td style = \"text-align: left;\">DL des Sports, der Unterhaltung und der Erholung</td><td style = \"text-align: right;\">103.378</td><td style = \"text-align: right;\">90.3502</td><td style = \"text-align: right;\">0.00512916</td><td style = \"text-align: right;\">0.00586877</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">69</td><td style = \"text-align: right;\">0.858006</td><td style = \"text-align: right;\">0.014671</td><td style = \"text-align: left;\">DL d. Interessenvertr., kirchl. u.sonst. Vereinig.</td><td style = \"text-align: right;\">327.573</td><td style = \"text-align: right;\">281.06</td><td style = \"text-align: right;\">0.00901729</td><td style = \"text-align: right;\">0.0105096</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">70</td><td style = \"text-align: right;\">0.75304</td><td style = \"text-align: right;\">0.00158896</td><td style = \"text-align: left;\">Reparaturarbeiten an DV-Geräten u. Gebrauchsgütern</td><td style = \"text-align: right;\">2.8717</td><td style = \"text-align: right;\">2.1625</td><td style = \"text-align: right;\">0.000758507</td><td style = \"text-align: right;\">0.00100726</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">71</td><td style = \"text-align: right;\">0.878103</td><td style = \"text-align: right;\">0.0179679</td><td style = \"text-align: left;\">Sonstige überwiegend persönliche Dienstleistungen</td><td style = \"text-align: right;\">451.259</td><td style = \"text-align: right;\">396.252</td><td style = \"text-align: right;\">0.0107476</td><td style = \"text-align: right;\">0.0122395</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccc}\n",
       "\t& prices & quantities & sectors & value\\_added\\_absolute & \\\\\n",
       "\t\\hline\n",
       "\t& Float64 & Float64 & String & Float64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & 0.88314 & 0.0179409 & Erz. d. Landwirtschaft, Jagd und Dienstleistungen & 110.338 & $\\dots$ \\\\\n",
       "\t2 & 0.513333 & 0.00312512 & Forstwirtschaftl. Erzeugnisse und Dienstleistungen & 6.05295 & $\\dots$ \\\\\n",
       "\t3 & 0.492164 & 0.000209369 & Fische, Fischerei- und Aquakulturerzeugnisse, DL & 0.00738858 & $\\dots$ \\\\\n",
       "\t4 & 0.663861 & 0.00111863 & Kohle & 0.444275 & $\\dots$ \\\\\n",
       "\t5 & 0.564692 & 0.000644021 & Erdöl und Erdgas & 0.23999 & $\\dots$ \\\\\n",
       "\t6 & 0.660186 & 0.00537297 & Erze, Steine und Erden, sonstige Bergbauerz., DL & 6.99027 & $\\dots$ \\\\\n",
       "\t7 & 0.883434 & 0.0650779 & Nahrungs- u. Futtermittel, Getränke, Tabakerzeugn. & 604.689 & $\\dots$ \\\\\n",
       "\t8 & 0.718889 & 0.00780374 & Textilien, Bekleidung, Leder und Lederwaren & 13.3487 & $\\dots$ \\\\\n",
       "\t9 & 0.587437 & 0.00966231 & Holz,Holz- u.Korkwaren (oh.Möbel),Flecht- u.Korbw. & 9.64255 & $\\dots$ \\\\\n",
       "\t10 & 0.823028 & 0.0151875 & Papier, Pappe und Waren daraus & 35.6215 & $\\dots$ \\\\\n",
       "\t11 & 0.828518 & 0.00593308 & Druckereileist., besp. Ton-, Bild- u. Datenträger & 13.8319 & $\\dots$ \\\\\n",
       "\t12 & 0.798528 & 0.0200146 & Kokerei- und Mineralölerzeugnisse & 1.09693 & $\\dots$ \\\\\n",
       "\t13 & 0.812201 & 0.0568465 & Chemische Erzeugnisse & 423.629 & $\\dots$ \\\\\n",
       "\t14 & 0.983511 & 0.013051 & Pharmazeutische Erzeugnisse & 57.9031 & $\\dots$ \\\\\n",
       "\t15 & 0.806775 & 0.027667 & Gummi- und Kunststoffwaren & 208.468 & $\\dots$ \\\\\n",
       "\t16 & 0.649188 & 0.00403675 & Glas und Glaswaren & 5.06307 & $\\dots$ \\\\\n",
       "\t17 & 0.677856 & 0.0142503 & Keramik, bearbeitete Steine und Erden & 43.3864 & $\\dots$ \\\\\n",
       "\t18 & 0.788287 & 0.0310953 & Roheisen, Stahl, Erz.d.erst. Bearb.v.Eisen u.Stahl & 31.253 & $\\dots$ \\\\\n",
       "\t19 & 0.764816 & 0.0151309 & NE-Metalle und Halbzeug daraus & 5.67152 & $\\dots$ \\\\\n",
       "\t20 & 0.846183 & 0.00653631 & Gießereierzeugnisse & 11.6336 & $\\dots$ \\\\\n",
       "\t21 & 0.851396 & 0.0465433 & Metallerzeugnisse & 1042.56 & $\\dots$ \\\\\n",
       "\t22 & 0.858954 & 0.0262827 & DV-Geräte, elektronische und optische Erzeugnisse & 374.961 & $\\dots$ \\\\\n",
       "\t23 & 0.778754 & 0.0338423 & Elektrische Ausrüstungen & 474.441 & $\\dots$ \\\\\n",
       "\t24 & 0.856561 & 0.0828286 & Maschinen & 2622.5 & $\\dots$ \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ &  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m71×7 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m prices   \u001b[0m\u001b[1m quantities  \u001b[0m\u001b[1m sectors                           \u001b[0m\u001b[1m value_added_a\u001b[0m ⋯\n",
       "     │\u001b[90m Float64  \u001b[0m\u001b[90m Float64     \u001b[0m\u001b[90m String                            \u001b[0m\u001b[90m Float64      \u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ 0.88314   0.0179409    Erz. d. Landwirtschaft, Jagd und…          110.3 ⋯\n",
       "   2 │ 0.513333  0.00312512   Forstwirtschaftl. Erzeugnisse un…            6.0\n",
       "   3 │ 0.492164  0.000209369  Fische, Fischerei- und Aquakultu…            0.0\n",
       "   4 │ 0.663861  0.00111863   Kohle                                        0.4\n",
       "   5 │ 0.564692  0.000644021  Erdöl und Erdgas                             0.2 ⋯\n",
       "   6 │ 0.660186  0.00537297   Erze, Steine und Erden, sonstige…            6.9\n",
       "   7 │ 0.883434  0.0650779    Nahrungs- u. Futtermittel, Geträ…          604.6\n",
       "   8 │ 0.718889  0.00780374   Textilien, Bekleidung, Leder und…           13.3\n",
       "  ⋮  │    ⋮           ⋮                       ⋮                           ⋮    ⋱\n",
       "  65 │ 0.89053   0.0776011    Dienstleistungen des Gesundheits…         8450.2 ⋯\n",
       "  66 │ 0.913467  0.0349536    Dienstleistungen von Heimen und …         1569.2\n",
       "  67 │ 0.879236  0.0114712    Dienstleist. der Kunst, Kultur u…          164.5\n",
       "  68 │ 0.873976  0.00990453   DL des Sports, der Unterhaltung …          103.3\n",
       "  69 │ 0.858006  0.014671     DL d. Interessenvertr., kirchl. …          327.5 ⋯\n",
       "  70 │ 0.75304   0.00158896   Reparaturarbeiten an DV-Geräten …            2.8\n",
       "  71 │ 0.878103  0.0179679    Sonstige überwiegend persönliche…          451.2\n",
       "\u001b[36m                                                   4 columns and 56 rows omitted\u001b[0m"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = Model(data, shocks, ces_elasticities)\n",
    "sol = solve(m) #solving CES Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: [18145, 3717, 184, 1196, 812, 4687, 42280, 6569, 6476, 10361, 6454, 2442, 35462, 13114, 25643, 3982, 12164, 10211, 4503, 6118, 56146, 33392, 38033, 88597, 104389, 13229, 22726, 19195, 40046, 6576, 7495, 26437, 25848, 19996, 108807, 60158, 160416, 111845, 50921, 5221, 6912, 48889, 20779, 50145, 19271, 16211, 26614, 90898, 66376, 28204, 18564, 341730, 96550, 45259, 75415, 12274, 15527, 61448, 28667, 7432, 75033, 160132, 24524, 137258, 160069, 68930, 22210, 17615, 31169, 2851, 36869]\n",
      "└ @ BeyondHulten /home/franzs/Schreibtisch/BeyondHulten/src/cobbdouglas.jl:69\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>71×7 DataFrame</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">46 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">prices</th><th style = \"text-align: left;\">quantities</th><th style = \"text-align: left;\">sectors</th><th style = \"text-align: left;\">value_added_absolute</th><th style = \"text-align: left;\">value_added_nominal_absolute</th><th style = \"text-align: left;\">value_added_nominal_relative</th><th style = \"text-align: left;\">value_added_relative</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"String\" style = \"text-align: left;\">String</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">0.736977</td><td style = \"text-align: right;\">0.0176939</td><td style = \"text-align: left;\">Erz. d. Landwirtschaft, Jagd und Dienstleistungen</td><td style = \"text-align: right;\">80.1379</td><td style = \"text-align: right;\">59.0598</td><td style = \"text-align: right;\">0.00325488</td><td style = \"text-align: right;\">0.00441653</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: right;\">0.736491</td><td style = \"text-align: right;\">0.00221744</td><td style = \"text-align: left;\">Forstwirtschaftl. Erzeugnisse und Dienstleistungen</td><td style = \"text-align: right;\">3.36065</td><td style = \"text-align: right;\">2.47509</td><td style = \"text-align: right;\">0.000665883</td><td style = \"text-align: right;\">0.000904129</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: right;\">0.73645</td><td style = \"text-align: right;\">0.000162163</td><td style = \"text-align: left;\">Fische, Fischerei- und Aquakulturerzeugnisse, DL</td><td style = \"text-align: right;\">0.00823472</td><td style = \"text-align: right;\">0.00606446</td><td style = \"text-align: right;\">3.2959e-5</td><td style = \"text-align: right;\">4.47539e-5</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: right;\">0.7413</td><td style = \"text-align: right;\">0.000966042</td><td style = \"text-align: left;\">Kohle</td><td style = \"text-align: right;\">0.350208</td><td style = \"text-align: right;\">0.25961</td><td style = \"text-align: right;\">0.000217065</td><td style = \"text-align: right;\">0.000292816</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: right;\">0.732626</td><td style = \"text-align: right;\">0.000487149</td><td style = \"text-align: left;\">Erdöl und Erdgas</td><td style = \"text-align: right;\">0.159538</td><td style = \"text-align: right;\">0.116882</td><td style = \"text-align: right;\">0.000143943</td><td style = \"text-align: right;\">0.000196476</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: right;\">0.736441</td><td style = \"text-align: right;\">0.00467994</td><td style = \"text-align: left;\">Erze, Steine und Erden, sonstige Bergbauerz., DL</td><td style = \"text-align: right;\">5.34316</td><td style = \"text-align: right;\">3.93492</td><td style = \"text-align: right;\">0.00083954</td><td style = \"text-align: right;\">0.00114</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: right;\">0.736841</td><td style = \"text-align: right;\">0.0640313</td><td style = \"text-align: left;\">Nahrungs- u. Futtermittel, Getränke, Tabakerzeugn.</td><td style = \"text-align: right;\">435.025</td><td style = \"text-align: right;\">320.544</td><td style = \"text-align: right;\">0.00758145</td><td style = \"text-align: right;\">0.0102891</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: right;\">0.737644</td><td style = \"text-align: right;\">0.00743935</td><td style = \"text-align: left;\">Textilien, Bekleidung, Leder und Lederwaren</td><td style = \"text-align: right;\">10.5127</td><td style = \"text-align: right;\">7.75466</td><td style = \"text-align: right;\">0.00118049</td><td style = \"text-align: right;\">0.00160036</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: right;\">0.735898</td><td style = \"text-align: right;\">0.00841992</td><td style = \"text-align: left;\">Holz,Holz- u.Korkwaren (oh.Möbel),Flecht- u.Korbw.</td><td style = \"text-align: right;\">10.193</td><td style = \"text-align: right;\">7.50101</td><td style = \"text-align: right;\">0.00115828</td><td style = \"text-align: right;\">0.00157396</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: right;\">0.735187</td><td style = \"text-align: right;\">0.014594</td><td style = \"text-align: left;\">Papier, Pappe und Waren daraus</td><td style = \"text-align: right;\">26.0658</td><td style = \"text-align: right;\">19.1632</td><td style = \"text-align: right;\">0.00184955</td><td style = \"text-align: right;\">0.00251576</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: right;\">0.735977</td><td style = \"text-align: right;\">0.00570378</td><td style = \"text-align: left;\">Druckereileist., besp. Ton-, Bild- u. Datenträger</td><td style = \"text-align: right;\">10.1249</td><td style = \"text-align: right;\">7.45172</td><td style = \"text-align: right;\">0.00115459</td><td style = \"text-align: right;\">0.00156879</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: right;\">0.733039</td><td style = \"text-align: right;\">0.0187442</td><td style = \"text-align: left;\">Kokerei- und Mineralölerzeugnisse</td><td style = \"text-align: right;\">1.44374</td><td style = \"text-align: right;\">1.05832</td><td style = \"text-align: right;\">0.000433381</td><td style = \"text-align: right;\">0.000591212</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: right;\">0.736386</td><td style = \"text-align: right;\">0.0548061</td><td style = \"text-align: left;\">Chemische Erzeugnisse</td><td style = \"text-align: right;\">305.845</td><td style = \"text-align: right;\">225.22</td><td style = \"text-align: right;\">0.00635103</td><td style = \"text-align: right;\">0.0086246</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">60</td><td style = \"text-align: right;\">0.733212</td><td style = \"text-align: right;\">0.0118168</td><td style = \"text-align: left;\">DL v. Reisebüros, -veranstaltern u. sonst. Reserv.</td><td style = \"text-align: right;\">13.3755</td><td style = \"text-align: right;\">9.8071</td><td style = \"text-align: right;\">0.00131958</td><td style = \"text-align: right;\">0.00179972</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">61</td><td style = \"text-align: right;\">0.736193</td><td style = \"text-align: right;\">0.0433517</td><td style = \"text-align: left;\">Wach-, Sicherheits-DL, wirtschaftliche DL a.n.g</td><td style = \"text-align: right;\">1368.88</td><td style = \"text-align: right;\">1007.76</td><td style = \"text-align: right;\">0.0134309</td><td style = \"text-align: right;\">0.0182437</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">62</td><td style = \"text-align: right;\">0.738251</td><td style = \"text-align: right;\">0.0842732</td><td style = \"text-align: left;\">DL d. öffentlichen Verwaltung und der Verteidigung</td><td style = \"text-align: right;\">6252.17</td><td style = \"text-align: right;\">4615.67</td><td style = \"text-align: right;\">0.0288241</td><td style = \"text-align: right;\">0.0390438</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">63</td><td style = \"text-align: right;\">0.736828</td><td style = \"text-align: right;\">0.0119433</td><td style = \"text-align: left;\">Dienstleistungen der Sozialversicherung</td><td style = \"text-align: right;\">146.359</td><td style = \"text-align: right;\">107.841</td><td style = \"text-align: right;\">0.00439737</td><td style = \"text-align: right;\">0.00596798</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">64</td><td style = \"text-align: right;\">0.734615</td><td style = \"text-align: right;\">0.059211</td><td style = \"text-align: left;\">Erziehungs- und Unterrichtsdienstleistungen</td><td style = \"text-align: right;\">4570.94</td><td style = \"text-align: right;\">3357.88</td><td style = \"text-align: right;\">0.024464</td><td style = \"text-align: right;\">0.0333018</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">65</td><td style = \"text-align: right;\">0.735326</td><td style = \"text-align: right;\">0.0776496</td><td style = \"text-align: left;\">Dienstleistungen des Gesundheitswesens</td><td style = \"text-align: right;\">6222.5</td><td style = \"text-align: right;\">4575.57</td><td style = \"text-align: right;\">0.028585</td><td style = \"text-align: right;\">0.0388738</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">66</td><td style = \"text-align: right;\">0.737614</td><td style = \"text-align: right;\">0.0349536</td><td style = \"text-align: left;\">Dienstleistungen von Heimen und des Sozialwesens</td><td style = \"text-align: right;\">1157.49</td><td style = \"text-align: right;\">853.779</td><td style = \"text-align: right;\">0.0123862</td><td style = \"text-align: right;\">0.0167922</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">67</td><td style = \"text-align: right;\">0.736204</td><td style = \"text-align: right;\">0.0113851</td><td style = \"text-align: left;\">Dienstleist. der Kunst, Kultur u. des Glücksspiels</td><td style = \"text-align: right;\">119.94</td><td style = \"text-align: right;\">88.3007</td><td style = \"text-align: right;\">0.00397572</td><td style = \"text-align: right;\">0.00540029</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">68</td><td style = \"text-align: right;\">0.734487</td><td style = \"text-align: right;\">0.00981202</td><td style = \"text-align: left;\">DL des Sports, der Unterhaltung und der Erholung</td><td style = \"text-align: right;\">75.2696</td><td style = \"text-align: right;\">55.2846</td><td style = \"text-align: right;\">0.00313849</td><td style = \"text-align: right;\">0.00427304</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">69</td><td style = \"text-align: right;\">0.735864</td><td style = \"text-align: right;\">0.0143575</td><td style = \"text-align: left;\">DL d. Interessenvertr., kirchl. u.sonst. Vereinig.</td><td style = \"text-align: right;\">236.11</td><td style = \"text-align: right;\">173.745</td><td style = \"text-align: right;\">0.00557428</td><td style = \"text-align: right;\">0.00757514</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">70</td><td style = \"text-align: right;\">0.733515</td><td style = \"text-align: right;\">0.00143536</td><td style = \"text-align: left;\">Reparaturarbeiten an DV-Geräten u. Gebrauchsgütern</td><td style = \"text-align: right;\">1.96913</td><td style = \"text-align: right;\">1.44438</td><td style = \"text-align: right;\">0.000506623</td><td style = \"text-align: right;\">0.000690679</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">71</td><td style = \"text-align: right;\">0.733684</td><td style = \"text-align: right;\">0.0178914</td><td style = \"text-align: left;\">Sonstige überwiegend persönliche Dienstleistungen</td><td style = \"text-align: right;\">329.384</td><td style = \"text-align: right;\">241.663</td><td style = \"text-align: right;\">0.00655465</td><td style = \"text-align: right;\">0.00893389</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccc}\n",
       "\t& prices & quantities & sectors & value\\_added\\_absolute & \\\\\n",
       "\t\\hline\n",
       "\t& Float64 & Float64 & String & Float64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & 0.736977 & 0.0176939 & Erz. d. Landwirtschaft, Jagd und Dienstleistungen & 80.1379 & $\\dots$ \\\\\n",
       "\t2 & 0.736491 & 0.00221744 & Forstwirtschaftl. Erzeugnisse und Dienstleistungen & 3.36065 & $\\dots$ \\\\\n",
       "\t3 & 0.73645 & 0.000162163 & Fische, Fischerei- und Aquakulturerzeugnisse, DL & 0.00823472 & $\\dots$ \\\\\n",
       "\t4 & 0.7413 & 0.000966042 & Kohle & 0.350208 & $\\dots$ \\\\\n",
       "\t5 & 0.732626 & 0.000487149 & Erdöl und Erdgas & 0.159538 & $\\dots$ \\\\\n",
       "\t6 & 0.736441 & 0.00467994 & Erze, Steine und Erden, sonstige Bergbauerz., DL & 5.34316 & $\\dots$ \\\\\n",
       "\t7 & 0.736841 & 0.0640313 & Nahrungs- u. Futtermittel, Getränke, Tabakerzeugn. & 435.025 & $\\dots$ \\\\\n",
       "\t8 & 0.737644 & 0.00743935 & Textilien, Bekleidung, Leder und Lederwaren & 10.5127 & $\\dots$ \\\\\n",
       "\t9 & 0.735898 & 0.00841992 & Holz,Holz- u.Korkwaren (oh.Möbel),Flecht- u.Korbw. & 10.193 & $\\dots$ \\\\\n",
       "\t10 & 0.735187 & 0.014594 & Papier, Pappe und Waren daraus & 26.0658 & $\\dots$ \\\\\n",
       "\t11 & 0.735977 & 0.00570378 & Druckereileist., besp. Ton-, Bild- u. Datenträger & 10.1249 & $\\dots$ \\\\\n",
       "\t12 & 0.733039 & 0.0187442 & Kokerei- und Mineralölerzeugnisse & 1.44374 & $\\dots$ \\\\\n",
       "\t13 & 0.736386 & 0.0548061 & Chemische Erzeugnisse & 305.845 & $\\dots$ \\\\\n",
       "\t14 & 0.735924 & 0.0129228 & Pharmazeutische Erzeugnisse & 41.7997 & $\\dots$ \\\\\n",
       "\t15 & 0.733871 & 0.0262651 & Gummi- und Kunststoffwaren & 159.378 & $\\dots$ \\\\\n",
       "\t16 & 0.73476 & 0.00346289 & Glas und Glaswaren & 3.84785 & $\\dots$ \\\\\n",
       "\t17 & 0.735074 & 0.0126054 & Keramik, bearbeitete Steine und Erden & 35.9215 & $\\dots$ \\\\\n",
       "\t18 & 0.739379 & 0.0302086 & Roheisen, Stahl, Erz.d.erst. Bearb.v.Eisen u.Stahl & 25.4609 & $\\dots$ \\\\\n",
       "\t19 & 0.734217 & 0.0141785 & NE-Metalle und Halbzeug daraus & 4.91698 & $\\dots$ \\\\\n",
       "\t20 & 0.735151 & 0.00635012 & Gießereierzeugnisse & 9.08794 & $\\dots$ \\\\\n",
       "\t21 & 0.73393 & 0.0455595 & Metallerzeugnisse & 764.121 & $\\dots$ \\\\\n",
       "\t22 & 0.733509 & 0.02581 & DV-Geräte, elektronische und optische Erzeugnisse & 270.122 & $\\dots$ \\\\\n",
       "\t23 & 0.733628 & 0.0319689 & Elektrische Ausrüstungen & 350.483 & $\\dots$ \\\\\n",
       "\t24 & 0.734891 & 0.0815359 & Maschinen & 1905.16 & $\\dots$ \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ &  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m71×7 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m prices   \u001b[0m\u001b[1m quantities  \u001b[0m\u001b[1m sectors                           \u001b[0m\u001b[1m value_added_a\u001b[0m ⋯\n",
       "     │\u001b[90m Float64  \u001b[0m\u001b[90m Float64     \u001b[0m\u001b[90m String                            \u001b[0m\u001b[90m Float64      \u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ 0.736977  0.0176939    Erz. d. Landwirtschaft, Jagd und…           80.1 ⋯\n",
       "   2 │ 0.736491  0.00221744   Forstwirtschaftl. Erzeugnisse un…            3.3\n",
       "   3 │ 0.73645   0.000162163  Fische, Fischerei- und Aquakultu…            0.0\n",
       "   4 │ 0.7413    0.000966042  Kohle                                        0.3\n",
       "   5 │ 0.732626  0.000487149  Erdöl und Erdgas                             0.1 ⋯\n",
       "   6 │ 0.736441  0.00467994   Erze, Steine und Erden, sonstige…            5.3\n",
       "   7 │ 0.736841  0.0640313    Nahrungs- u. Futtermittel, Geträ…          435.0\n",
       "   8 │ 0.737644  0.00743935   Textilien, Bekleidung, Leder und…           10.5\n",
       "  ⋮  │    ⋮           ⋮                       ⋮                           ⋮    ⋱\n",
       "  65 │ 0.735326  0.0776496    Dienstleistungen des Gesundheits…         6222.5 ⋯\n",
       "  66 │ 0.737614  0.0349536    Dienstleistungen von Heimen und …         1157.4\n",
       "  67 │ 0.736204  0.0113851    Dienstleist. der Kunst, Kultur u…          119.9\n",
       "  68 │ 0.734487  0.00981202   DL des Sports, der Unterhaltung …           75.2\n",
       "  69 │ 0.735864  0.0143575    DL d. Interessenvertr., kirchl. …          236.1 ⋯\n",
       "  70 │ 0.733515  0.00143536   Reparaturarbeiten an DV-Geräten …            1.9\n",
       "  71 │ 0.733684  0.0178914    Sonstige überwiegend persönliche…          329.3\n",
       "\u001b[36m                                                   4 columns and 56 rows omitted\u001b[0m"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m2 = Model(data, shocks, cd_elasticities)\n",
    "sol2 = solve(m2) #Solvin Cobb Douglas Model\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: 0.7424370511363053\n",
      "│   real_gdp(sol) = 1.0169796937061821\n",
      "└ @ Main /home/franzs/Schreibtisch/BeyondHulten/jl_notebook_cell_df34fa98e69747e1a8f8a730347b8e2f_X11sZmlsZQ==.jl:1\n"
     ]
    }
   ],
   "source": [
    "@info real_gdp(sol2) real_gdp(sol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5520672257928233"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nominal_gdp(sol2) #really low gdp in cb model, somethings off"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>71×8 DataFrame</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">46 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">prices</th><th style = \"text-align: left;\">quantities</th><th style = \"text-align: left;\">sectors</th><th style = \"text-align: left;\">value_added</th><th style = \"text-align: left;\">value_added_absolute</th><th style = \"text-align: left;\">value_added_nominal_absolute</th><th style = \"text-align: left;\">value_added_nominal_relative</th><th style = \"text-align: left;\">value_added_relative</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"String\" style = \"text-align: left;\">String</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0178303</td><td style = \"text-align: left;\">Erz. d. Landwirtschaft, Jagd und Dienstleistungen</td><td style = \"text-align: right;\">0.00612005</td><td style = \"text-align: right;\">327.875</td><td style = \"text-align: right;\">327.875</td><td style = \"text-align: right;\">0.00612005</td><td style = \"text-align: right;\">0.00612005</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.00223312</td><td style = \"text-align: left;\">Forstwirtschaftl. Erzeugnisse und Dienstleistungen</td><td style = \"text-align: right;\">0.00129127</td><td style = \"text-align: right;\">8.66957</td><td style = \"text-align: right;\">8.66957</td><td style = \"text-align: right;\">0.00129127</td><td style = \"text-align: right;\">0.00129127</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.000163302</td><td style = \"text-align: left;\">Fische, Fischerei- und Aquakulturerzeugnisse, DL</td><td style = \"text-align: right;\">6.60739e-5</td><td style = \"text-align: right;\">0.0324423</td><td style = \"text-align: right;\">0.0324423</td><td style = \"text-align: right;\">6.60739e-5</td><td style = \"text-align: right;\">6.60739e-5</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.000978868</td><td style = \"text-align: left;\">Kohle</td><td style = \"text-align: right;\">0.000473059</td><td style = \"text-align: right;\">1.3837</td><td style = \"text-align: right;\">1.3837</td><td style = \"text-align: right;\">0.000473059</td><td style = \"text-align: right;\">0.000473059</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.000488178</td><td style = \"text-align: left;\">Erdöl und Erdgas</td><td style = \"text-align: right;\">0.000313774</td><td style = \"text-align: right;\">0.462817</td><td style = \"text-align: right;\">0.462817</td><td style = \"text-align: right;\">0.000313774</td><td style = \"text-align: right;\">0.000313774</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.00471271</td><td style = \"text-align: left;\">Erze, Steine und Erden, sonstige Bergbauerz., DL</td><td style = \"text-align: right;\">0.00203048</td><td style = \"text-align: right;\">28.7719</td><td style = \"text-align: right;\">28.7719</td><td style = \"text-align: right;\">0.00203048</td><td style = \"text-align: right;\">0.00203048</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.064513</td><td style = \"text-align: left;\">Nahrungs- u. Futtermittel, Getränke, Tabakerzeugn.</td><td style = \"text-align: right;\">0.00797035</td><td style = \"text-align: right;\">1545.25</td><td style = \"text-align: right;\">1545.25</td><td style = \"text-align: right;\">0.00797035</td><td style = \"text-align: right;\">0.00797035</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.00750309</td><td style = \"text-align: left;\">Textilien, Bekleidung, Leder und Lederwaren</td><td style = \"text-align: right;\">0.00139</td><td style = \"text-align: right;\">31.3098</td><td style = \"text-align: right;\">31.3098</td><td style = \"text-align: right;\">0.00139</td><td style = \"text-align: right;\">0.00139</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.00847296</td><td style = \"text-align: left;\">Holz,Holz- u.Korkwaren (oh.Möbel),Flecht- u.Korbw.</td><td style = \"text-align: right;\">0.00214661</td><td style = \"text-align: right;\">54.7258</td><td style = \"text-align: right;\">54.7258</td><td style = \"text-align: right;\">0.00214661</td><td style = \"text-align: right;\">0.00214661</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0146723</td><td style = \"text-align: left;\">Papier, Pappe und Waren daraus</td><td style = \"text-align: right;\">0.00550193</td><td style = \"text-align: right;\">243.119</td><td style = \"text-align: right;\">243.119</td><td style = \"text-align: right;\">0.00550193</td><td style = \"text-align: right;\">0.00550193</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0057403</td><td style = \"text-align: left;\">Druckereileist., besp. Ton-, Bild- u. Datenträger</td><td style = \"text-align: right;\">0.00300352</td><td style = \"text-align: right;\">51.8708</td><td style = \"text-align: right;\">51.8708</td><td style = \"text-align: right;\">0.00300352</td><td style = \"text-align: right;\">0.00300352</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0187942</td><td style = \"text-align: left;\">Kokerei- und Mineralölerzeugnisse</td><td style = \"text-align: right;\">0.0116881</td><td style = \"text-align: right;\">663.348</td><td style = \"text-align: right;\">663.348</td><td style = \"text-align: right;\">0.0116881</td><td style = \"text-align: right;\">0.0116881</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.055187</td><td style = \"text-align: left;\">Chemische Erzeugnisse</td><td style = \"text-align: right;\">0.00719489</td><td style = \"text-align: right;\">1193.94</td><td style = \"text-align: right;\">1193.94</td><td style = \"text-align: right;\">0.00719489</td><td style = \"text-align: right;\">0.00719489</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">60</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0118505</td><td style = \"text-align: left;\">DL v. Reisebüros, -veranstaltern u. sonst. Reserv.</td><td style = \"text-align: right;\">0.00614398</td><td style = \"text-align: right;\">219.825</td><td style = \"text-align: right;\">219.825</td><td style = \"text-align: right;\">0.00614398</td><td style = \"text-align: right;\">0.00614398</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">61</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0436406</td><td style = \"text-align: left;\">Wach-, Sicherheits-DL, wirtschaftliche DL a.n.g</td><td style = \"text-align: right;\">0.028649</td><td style = \"text-align: right;\">3760.49</td><td style = \"text-align: right;\">3760.49</td><td style = \"text-align: right;\">0.028649</td><td style = \"text-align: right;\">0.028649</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">62</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0850579</td><td style = \"text-align: left;\">DL d. öffentlichen Verwaltung und der Verteidigung</td><td style = \"text-align: right;\">0.0507609</td><td style = \"text-align: right;\">12952.4</td><td style = \"text-align: right;\">12952.4</td><td style = \"text-align: right;\">0.0507609</td><td style = \"text-align: right;\">0.0507609</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">63</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0120326</td><td style = \"text-align: left;\">Dienstleistungen der Sozialversicherung</td><td style = \"text-align: right;\">0.00901528</td><td style = \"text-align: right;\">326.011</td><td style = \"text-align: right;\">326.011</td><td style = \"text-align: right;\">0.00901528</td><td style = \"text-align: right;\">0.00901528</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">64</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0594876</td><td style = \"text-align: left;\">Erziehungs- und Unterrichtsdienstleistungen</td><td style = \"text-align: right;\">0.0437568</td><td style = \"text-align: right;\">7844.73</td><td style = \"text-align: right;\">7844.73</td><td style = \"text-align: right;\">0.0437568</td><td style = \"text-align: right;\">0.0437568</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">65</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0780815</td><td style = \"text-align: left;\">Dienstleistungen des Gesundheitswesens</td><td style = \"text-align: right;\">0.036834</td><td style = \"text-align: right;\">8660.01</td><td style = \"text-align: right;\">8660.01</td><td style = \"text-align: right;\">0.036834</td><td style = \"text-align: right;\">0.036834</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">66</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0352518</td><td style = \"text-align: left;\">Dienstleistungen von Heimen und des Sozialwesens</td><td style = \"text-align: right;\">0.00677292</td><td style = \"text-align: right;\">716.798</td><td style = \"text-align: right;\">716.798</td><td style = \"text-align: right;\">0.00677292</td><td style = \"text-align: right;\">0.00677292</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">67</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0114613</td><td style = \"text-align: left;\">Dienstleist. der Kunst, Kultur u. des Glücksspiels</td><td style = \"text-align: right;\">0.0070286</td><td style = \"text-align: right;\">242.29</td><td style = \"text-align: right;\">242.29</td><td style = \"text-align: right;\">0.0070286</td><td style = \"text-align: right;\">0.0070286</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">68</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.00985596</td><td style = \"text-align: left;\">DL des Sports, der Unterhaltung und der Erholung</td><td style = \"text-align: right;\">0.00427478</td><td style = \"text-align: right;\">126.999</td><td style = \"text-align: right;\">126.999</td><td style = \"text-align: right;\">0.00427478</td><td style = \"text-align: right;\">0.00427478</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">69</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0144472</td><td style = \"text-align: left;\">DL d. Interessenvertr., kirchl. u.sonst. Vereinig.</td><td style = \"text-align: right;\">0.0100706</td><td style = \"text-align: right;\">437.789</td><td style = \"text-align: right;\">437.789</td><td style = \"text-align: right;\">0.0100706</td><td style = \"text-align: right;\">0.0100706</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">70</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.00144004</td><td style = \"text-align: left;\">Reparaturarbeiten an DV-Geräten u. Gebrauchsgütern</td><td style = \"text-align: right;\">0.000994798</td><td style = \"text-align: right;\">4.32339</td><td style = \"text-align: right;\">4.32339</td><td style = \"text-align: right;\">0.000994798</td><td style = \"text-align: right;\">0.000994798</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">71</td><td style = \"text-align: right;\">1.0</td><td style = \"text-align: right;\">0.0179536</td><td style = \"text-align: left;\">Sonstige überwiegend persönliche Dienstleistungen</td><td style = \"text-align: right;\">0.011541</td><td style = \"text-align: right;\">625.201</td><td style = \"text-align: right;\">625.201</td><td style = \"text-align: right;\">0.011541</td><td style = \"text-align: right;\">0.011541</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccc}\n",
       "\t& prices & quantities & sectors & value\\_added & \\\\\n",
       "\t\\hline\n",
       "\t& Float64 & Float64 & String & Float64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & 1.0 & 0.0178303 & Erz. d. Landwirtschaft, Jagd und Dienstleistungen & 0.00612005 & $\\dots$ \\\\\n",
       "\t2 & 1.0 & 0.00223312 & Forstwirtschaftl. Erzeugnisse und Dienstleistungen & 0.00129127 & $\\dots$ \\\\\n",
       "\t3 & 1.0 & 0.000163302 & Fische, Fischerei- und Aquakulturerzeugnisse, DL & 6.60739e-5 & $\\dots$ \\\\\n",
       "\t4 & 1.0 & 0.000978868 & Kohle & 0.000473059 & $\\dots$ \\\\\n",
       "\t5 & 1.0 & 0.000488178 & Erdöl und Erdgas & 0.000313774 & $\\dots$ \\\\\n",
       "\t6 & 1.0 & 0.00471271 & Erze, Steine und Erden, sonstige Bergbauerz., DL & 0.00203048 & $\\dots$ \\\\\n",
       "\t7 & 1.0 & 0.064513 & Nahrungs- u. Futtermittel, Getränke, Tabakerzeugn. & 0.00797035 & $\\dots$ \\\\\n",
       "\t8 & 1.0 & 0.00750309 & Textilien, Bekleidung, Leder und Lederwaren & 0.00139 & $\\dots$ \\\\\n",
       "\t9 & 1.0 & 0.00847296 & Holz,Holz- u.Korkwaren (oh.Möbel),Flecht- u.Korbw. & 0.00214661 & $\\dots$ \\\\\n",
       "\t10 & 1.0 & 0.0146723 & Papier, Pappe und Waren daraus & 0.00550193 & $\\dots$ \\\\\n",
       "\t11 & 1.0 & 0.0057403 & Druckereileist., besp. Ton-, Bild- u. Datenträger & 0.00300352 & $\\dots$ \\\\\n",
       "\t12 & 1.0 & 0.0187942 & Kokerei- und Mineralölerzeugnisse & 0.0116881 & $\\dots$ \\\\\n",
       "\t13 & 1.0 & 0.055187 & Chemische Erzeugnisse & 0.00719489 & $\\dots$ \\\\\n",
       "\t14 & 1.0 & 0.0130049 & Pharmazeutische Erzeugnisse & 0.000969912 & $\\dots$ \\\\\n",
       "\t15 & 1.0 & 0.0263622 & Gummi- und Kunststoffwaren & 0.0149927 & $\\dots$ \\\\\n",
       "\t16 & 1.0 & 0.00347958 & Glas und Glaswaren & 0.00164147 & $\\dots$ \\\\\n",
       "\t17 & 1.0 & 0.0126715 & Keramik, bearbeitete Steine und Erden & 0.0055122 & $\\dots$ \\\\\n",
       "\t18 & 1.0 & 0.030536 & Roheisen, Stahl, Erz.d.erst. Bearb.v.Eisen u.Stahl & 0.0035519 & $\\dots$ \\\\\n",
       "\t19 & 1.0 & 0.0142372 & NE-Metalle und Halbzeug daraus & 0.00434704 & $\\dots$ \\\\\n",
       "\t20 & 1.0 & 0.00638399 & Gießereierzeugnisse & 0.00327374 & $\\dots$ \\\\\n",
       "\t21 & 1.0 & 0.0457315 & Metallerzeugnisse & 0.0236329 & $\\dots$ \\\\\n",
       "\t22 & 1.0 & 0.0258936 & DV-Geräte, elektronische und optische Erzeugnisse & 0.0124483 & $\\dots$ \\\\\n",
       "\t23 & 1.0 & 0.0320774 & Elektrische Ausrüstungen & 0.0137374 & $\\dots$ \\\\\n",
       "\t24 & 1.0 & 0.0819444 & Maschinen & 0.0136583 & $\\dots$ \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ &  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m71×8 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m prices  \u001b[0m\u001b[1m quantities  \u001b[0m\u001b[1m sectors                           \u001b[0m\u001b[1m value_added \u001b[0m\u001b[1m v\u001b[0m ⋯\n",
       "     │\u001b[90m Float64 \u001b[0m\u001b[90m Float64     \u001b[0m\u001b[90m String                            \u001b[0m\u001b[90m Float64     \u001b[0m\u001b[90m F\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │     1.0  0.0178303    Erz. d. Landwirtschaft, Jagd und…  0.00612005     ⋯\n",
       "   2 │     1.0  0.00223312   Forstwirtschaftl. Erzeugnisse un…  0.00129127\n",
       "   3 │     1.0  0.000163302  Fische, Fischerei- und Aquakultu…  6.60739e-5\n",
       "   4 │     1.0  0.000978868  Kohle                              0.000473059\n",
       "   5 │     1.0  0.000488178  Erdöl und Erdgas                   0.000313774    ⋯\n",
       "   6 │     1.0  0.00471271   Erze, Steine und Erden, sonstige…  0.00203048\n",
       "   7 │     1.0  0.064513     Nahrungs- u. Futtermittel, Geträ…  0.00797035\n",
       "   8 │     1.0  0.00750309   Textilien, Bekleidung, Leder und…  0.00139\n",
       "  ⋮  │    ⋮          ⋮                       ⋮                       ⋮         ⋱\n",
       "  65 │     1.0  0.0780815    Dienstleistungen des Gesundheits…  0.036834       ⋯\n",
       "  66 │     1.0  0.0352518    Dienstleistungen von Heimen und …  0.00677292\n",
       "  67 │     1.0  0.0114613    Dienstleist. der Kunst, Kultur u…  0.0070286\n",
       "  68 │     1.0  0.00985596   DL des Sports, der Unterhaltung …  0.00427478\n",
       "  69 │     1.0  0.0144472    DL d. Interessenvertr., kirchl. …  0.0100706      ⋯\n",
       "  70 │     1.0  0.00144004   Reparaturarbeiten an DV-Geräten …  0.000994798\n",
       "  71 │     1.0  0.0179536    Sonstige überwiegend persönliche…  0.011541\n",
       "\u001b[36m                                                   4 columns and 56 rows omitted\u001b[0m"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = Model(data, shocks, LeontiefElasticies())\n",
    "sol3 = BeyondHulten.solve(m) #solving Leontief Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0149132071349458"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nominal_gdp(sol3) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Demand shock to sector Vorb.Baustellen-,Bauinstallations-,Ausbauarbeiten: 1.4097957577943152\n"
     ]
    }
   ],
   "source": [
    "demand_shock = ones(71)\n",
    "supply_shock = ones(71)\n",
    "shocks = Shocks(demand_shock, supply_shock)\n",
    "sector = [\"Vorb.Baustellen-,Bauinstallations-,Ausbauarbeiten\"]\n",
    "investment = [50000]\n",
    "calculate_investment!(shocks, data, investment, sector)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "elasticity_gradient (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "function elasticity_gradient(shock)\n",
    "\ta = []\n",
    "\tb = []\n",
    "\tc = []\n",
    "\n",
    "\ta_nominal = []\n",
    "\tb_nominal = []\n",
    "\tc_nominal = []\n",
    "\n",
    "\tfor i in range(0.9, 0.1, 100)\n",
    "\t\telasticities = CESELasticities(i, 0.5, 0.9)\n",
    "\t\tmodel = Model(data, shocks, elasticities)\n",
    "\t\tsol = solve(model)\n",
    "\t\tpush!(a, (i, sol |> real_gdp))\n",
    "\t\tpush!(a_nominal, (i, solve(model) |> nominal_gdp))\n",
    "\tend\n",
    "\n",
    "\tfor i in range(0.9, 0.1, 100)\n",
    "\t\telasticities = CESELasticities(0.01, i, 0.9)\n",
    "\t\tmodel = Model(data, shocks, elasticities)\n",
    "\t\tsol = solve(model)\n",
    "\t\tpush!(b, (i, sol |> real_gdp))\n",
    "\t\tpush!(b_nominal, (i, sol |> nominal_gdp))\n",
    "\tend\n",
    "\n",
    "\tfor i in range(0.9, 0.1, 100)\n",
    "\t\telasticities = CESELasticities(0.01, 0.5, i)\n",
    "\t\tmodel = Model(data, shocks, elasticities)\n",
    "\t\tsol = solve(model)\n",
    "\t\tpush!(c, (i, sol |> real_gdp))\n",
    "\t\tpush!(c_nominal, (i, sol |> nominal_gdp))\n",
    "\tend\n",
    "\t(a, b, c, a_nominal, b_nominal, c_nominal)\n",
    "end\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Demand shock to sector Vorb.Baustellen-,Bauinstallations-,Ausbauarbeiten: 1.2048978788971576\n",
      "Demand shock to sector Kokerei- und Mineralölerzeugnisse: 0.9285877513711152\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Error: Error watching manifest\n",
      "│   exception = (Revise.ReviseEvalException(\"/home/franzs/Schreibtisch/BeyondHulten/none:0\", ErrorException(\"expected return statement, got \\$(Expr(:method, :record))\"), Any[(top-level scope at none:0, 1)]), Union{Ptr{Nothing}, Base.InterpreterIP}[Ptr{Nothing} @0x00007f3fade7d830])\n",
      "└ @ Revise /home/franzs/.julia/packages/Revise/sCmwS/src/pkgs.jl:489\n",
      "┌ Warning: /usr/share/julia/stdlib/v1.10/SuiteSparse/src/SuiteSparse.jl/src is not an existing directory, Revise is not watching\n",
      "└ @ Revise /home/franzs/.julia/packages/Revise/sCmwS/src/packagedef.jl:573\n",
      "┌ Warning: /usr/share/julia/stdlib/v1.10/LazyArtifacts/src/LazyArtifacts.jl/src is not an existing directory, Revise is not watching\n",
      "└ @ Revise /home/franzs/.julia/packages/Revise/sCmwS/src/packagedef.jl:573\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(Any[(0.9, 0.9999624533723521), (0.8919191919191919, 0.9999625187181577), (0.8838383838383839, 0.9999625846993789), (0.8757575757575757, 0.9999626513286237), (0.8676767676767677, 0.9999627186188886), (0.8595959595959596, 0.9999627865835651), (0.8515151515151516, 0.9999628552364634), (0.8434343434343434, 0.9999629245918036), (0.8353535353535354, 0.9999629946642639), (0.8272727272727273, 0.999963065468973)  …  (0.17272727272727273, 0.9999752989859918), (0.16464646464646465, 0.9999756796135353), (0.15656565656565657, 0.9999760767450107), (0.1484848484848485, 0.9999764915642436), (0.1404040404040404, 0.9999769253688253), (0.13232323232323231, 0.99997737958383), (0.12424242424242424, 0.9999778557775761), (0.11616161616161616, 0.9999783556797058), (0.10808080808080808, 0.9999788812020877), (0.1, 0.999979434463014)], Any[(0.9, 0.9999736344194237), (0.8919191919191919, 0.9999738241382079), (0.8838383838383839, 0.9999740165961816), (0.8757575757575757, 0.9999742118616012), (0.8676767676767677, 0.9999744100050038), (0.8595959595959596, 0.9999746110993936), (0.8515151515151516, 0.9999748152202422), (0.8434343434343434, 0.9999750224456365), (0.8353535353535354, 0.999975232856432), (0.8272727272727273, 0.9999754465362983)  …  (0.17272727272727273, 1.0000310951872047), (0.16464646464646465, 1.0000335096066042), (0.15656565656565657, 1.0000360841992484), (0.1484848484848485, 1.0000388362346366), (0.1404040404040404, 1.0000417856570882), (0.13232323232323231, 1.0000449556424413), (0.12424242424242424, 1.0000483733037155), (0.11616161616161616, 1.000052070592965), (0.10808080808080808, 1.0000560854820073), (0.1, 1.0000604634938635)], Any[(0.9, 0.9999884369478454), (0.8919191919191919, 0.9999885753720239), (0.8838383838383839, 0.999988715335876), (0.8757575757575757, 0.999988856871834), (0.8676767676767677, 0.9999890000132072), (0.8595959595959596, 0.9999891447942061), (0.8515151515151516, 0.9999892912500009), (0.8434343434343434, 0.9999894394167419), (0.8353535353535354, 0.9999895893316192), (0.8272727272727273, 0.999989741032883)  …  (0.17272727272727273, 1.000012504826879), (0.16464646464646465, 1.0000126443241029), (0.15656565656565657, 1.000012700500974), (0.1484848484848485, 1.0000126525520088), (0.1404040404040404, 1.0000124743862917), (0.13232323232323231, 1.0000121330543579), (0.12424242424242424, 1.0000115866134096), (0.11616161616161616, 1.0000107857739509), (0.10808080808080808, 1.000009652335445), (0.1, 1.0000080983918218)], Any[(0.9, 1.0083246905806844), (0.8919191919191919, 1.0083246882354562), (0.8838383838383839, 1.0083246858691677), (0.8757575757575757, 1.0083246834815902), (0.8676767676767677, 1.0083246810723643), (0.8595959595959596, 1.0083246786411808), (0.8515151515151516, 1.0083246761877027), (0.8434343434343434, 1.0083246737116485), (0.8353535353535354, 1.0083246712126224), (0.8272727272727273, 1.0083246686902874)  …  (0.17272727272727273, 1.0083243294500248), (0.16464646464646465, 1.008324322276981), (0.15656565656565657, 1.008324314969492), (0.1484848484848485, 1.0083243075231512), (0.1404040404040404, 1.008324299933305), (0.13232323232323231, 1.008324292194977), (0.12424242424242424, 1.0083242843029874), (0.11616161616161616, 1.0083242762519347), (0.10808080808080808, 1.00832426803603), (0.1, 1.0083242596491089)], Any[(0.9, 1.0083244300014584), (0.8919191919191919, 1.0083244259798814), (0.8838383838383839, 1.0083244219127585), (0.8757575757575757, 1.0083244177992134), (0.8676767676767677, 1.008324413638423), (0.8595959595959596, 1.0083244094294423), (0.8515151515151516, 1.0083244051713143), (0.8434343434343434, 1.0083244008631713), (0.8353535353535354, 1.0083243965039288), (0.8272727272727273, 1.0083243920926543)  …  (0.17272727272727273, 1.008323640111017), (0.16464646464646465, 1.0083236188977573), (0.15656565656565657, 1.0083235969062032), (0.1484848484848485, 1.008323574081552), (0.1404040404040404, 1.0083235503626335), (0.13232323232323231, 1.0083235256808798), (0.12424242424242424, 1.0083234999591915), (0.11616161616161616, 1.008323473092049), (0.10808080808080808, 1.008323445000727), (0.1, 1.0083234155565048)], Any[(0.9, 1.0083241523875512), (0.8919191919191919, 1.0076948296985337), (0.8838383838383839, 1.0071533787334925), (0.8757575757575757, 1.0066825962492234), (0.8676767676767677, 1.0062694945433228), (0.8595959595959596, 1.0059040847556933), (0.8515151515151516, 1.0055785585711516), (0.8434343434343434, 1.0052867240025478), (0.8353535353535354, 1.0050236077433594), (0.8272727272727273, 1.0047851694091825)  …  (0.17272727272727273, 1.0009481304035912), (0.16464646464646465, 1.00093832295774), (0.15656565656565657, 1.0009287013333852), (0.1484848484848485, 1.0009192600561583), (0.1404040404040404, 1.0009099938323587), (0.13232323232323231, 1.0009008975354885), (0.12424242424242424, 1.0008919661916955), (0.11616161616161616, 1.0008831961459803), (0.10808080808080808, 1.000874580459506), (0.1, 1.0008661155697527)])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "demand_shock = ones(71)\n",
    "supply_shock = ones(71)\n",
    "shocks = Shocks(demand_shock, supply_shock)\n",
    "sector = [\"Vorb.Baustellen-,Bauinstallations-,Ausbauarbeiten\"]\n",
    "investment = [25000]\n",
    "calculate_investment!(shocks, data, investment, sector)\n",
    "\n",
    "(a, b, c, d, e, f) = elasticity_gradient(shocks)\n",
    "\n",
    "demand_shock = ones(71)\n",
    "supply_shock = ones(71)\n",
    "shocks = Shocks(demand_shock, supply_shock)\n",
    "sector = [\"Kokerei- und Mineralölerzeugnisse\"]\n",
    "investment = [-2500]\n",
    "calculate_investment!(shocks, data, investment, sector)\n",
    "\n",
    "(a1, b1, c1, d1, e1, f1) = elasticity_gradient(shocks)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 = plot(first.(a),last.(a), label=\"Goods\", title=\"Positive shock, real GDP\",ylims=[0.98,1.02])\n",
    "plot!(first.(b),last.(b), label =\"Goods with Labour\")\n",
    "plot!(first.(c),last.(c), label = \"Consumption\")\n",
    "p2 = plot(first.(d),last.(d), label=\"Goods\", title=\"Nominal GDP\",ylims=[0.98,1.02])\n",
    "plot!(first.(e),last.(e), label =\"Goods with Labour\", ylims=[0.98,1.02])\n",
    "plot!(first.(f),last.(f), label = \"Consumption\")\n",
    "p3 = plot(first.(a1),last.(a1), label=\"Goods\", title=\"Real GDP\")\n",
    "plot!(first.(b1),last.(b1), label =\"Goods with Labour\")\n",
    "plot!(first.(c1),last.(c1), label = \"Consumption\")\n",
    "p4 = plot(first.(d1),last.(d1), label=\"Goods\", ylims=[0.98,1.02], title=\"Nominal GDP\")\n",
    "plot!(first.(e1),last.(e1), label =\"Goods with Labour\") \n",
    "plot!(first.(f1),last.(f1), label = \"Consumption\")\n",
    "plot(p1,p2,p3,p4, legend = true, plot_title=\"Effect of different elasticities on real and nominal GDP\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Effects of labour market slack"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "l (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "l(α, model) = (1 - α) * full_demand_labor_allocation(model) + α * model.data.labor_share\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = Model(data, shocks, CESELasticities(0.01, 0.5, 0.9))\n",
    "sol = solve(model)\n",
    "labour_slack_gradient = []\n",
    "labour_slack_gradient_nominal = []\n",
    "for α in range(0, 1, 100)\n",
    "\tlabour_share(model) = l(α, model)\n",
    "\tsol = solve(model, labour_share, init = vcat(sol.prices, sol.quantities))\n",
    "\tpush!(labour_slack_gradient, sol |> real_gdp)\n",
    "\tpush!(labour_slack_gradient_nominal, sol |> nominal_gdp)\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(labour_slack_gradient)\n",
    "plot!(labour_slack_gradient_nominal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100-element Vector{Any}:\n",
       " (0.9, 0.94236264865166)\n",
       " (0.8919191919191919, 0.9423588589229357)\n",
       " (0.8838383838383839, 0.9423550225908941)\n",
       " (0.8757575757575757, 0.9423511387174726)\n",
       " (0.8676767676767677, 0.9423472063378524)\n",
       " (0.8595959595959596, 0.9423432244594783)\n",
       " (0.8515151515151516, 0.9423391920610025)\n",
       " (0.8434343434343434, 0.9423351080911995)\n",
       " (0.8353535353535354, 0.9423309714678136)\n",
       " (0.8272727272727273, 0.9423267810763813)\n",
       " ⋮\n",
       " (0.16464646464646465, 0.9414986656915038)\n",
       " (0.15656565656565657, 0.9414713458476859)\n",
       " (0.1484848484848485, 0.9414427115000606)\n",
       " (0.1404040404040404, 0.9414126493561066)\n",
       " (0.13232323232323231, 0.9413810312251129)\n",
       " (0.12424242424242424, 0.9413477111625854)\n",
       " (0.11616161616161616, 0.9413125218207686)\n",
       " (0.10808080808080808, 0.9412752696969224)\n",
       " (0.1, 0.9412357288199251)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999998"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "real_gdp(sol3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999998"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nominal_gdp(sol3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "file_extension": ".jl",
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