{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Monetary Economics: Chapter 11"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preliminaries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This line configures matplotlib to show figures embedded in the notebook, \n",
    "# instead of opening a new window for each figure. More about that later. \n",
    "# If you are using an old version of IPython, try using '%pylab inline' instead.\n",
    "%matplotlib inline\n",
    "\n",
    "from pysolve.model import Model\n",
    "from pysolve.utils import is_close,round_solution\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model GROWTH"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Changes to the model:\n",
    "> In the GROWTH model, I've used the definition of the Tobin's Q from the INSOUT model in Chapter 10\n",
    "> \n",
    "> Original: Q = (Eks*Pe)/(K + IN + Lfd)\n",
    ">\n",
    "> Corrected : Q = (Eks*Pe + Lfd)/(K + IN)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_growth_model():\n",
    "    model = Model()\n",
    "        \n",
    "    model.set_var_default(0)\n",
    "    model.var('ADDl', desc='Spread between interest rate on loans and rate on deposits')\n",
    "    model.var('Bbd', desc='Government bills demanded by commercial banks')\n",
    "    model.var('Bbs', desc='Government bills supplied to commercial banks')\n",
    "    model.var('Bcbd', desc='Government bills demanded by Central bank')\n",
    "    model.var('Bcbs', desc='Government bills supplied by Central bank')\n",
    "    model.var('Bhd', desc='Demand for government bills from households')\n",
    "    model.var('Bhs', desc='Government bills supplied to households')\n",
    "    model.var('Bs', desc='Supply of government bills')\n",
    "    model.var('BLd', desc='Demand for government bonds')\n",
    "    model.var('BLs', desc='Supply of government bonds')\n",
    "    model.var('BLR', desc='Gross bank liquidity ratio')\n",
    "    model.var('BUR', desc='Burden of personal debt')\n",
    "    model.var('Ck', desc='Real consumption')\n",
    "    model.var('CAR', desc='Capital adequacy ratio of banks')\n",
    "    model.var('CG', desc='Capital gains on government bonds')\n",
    "    model.var('CONS', desc='Consumption at current prices')\n",
    "    model.var('Ekd', desc='Number of equities demanded')\n",
    "    model.var('Eks', desc='Number of equities supplied by firms')\n",
    "    model.var('ER', desc='Employment rate')\n",
    "    model.var('Fb', desc='Realized banks profits')\n",
    "    model.var('Fbt', desc='Target profits of banks')\n",
    "    model.var('Fcb', desc='Central bank \"profits\"')\n",
    "    model.var('Ff', desc='Realized entrepreneurial profits')\n",
    "    model.var('Fft', desc='Planned entrepreneurial profits')\n",
    "    model.var('FDb', desc='Dividends of banks')\n",
    "    model.var('FDf', desc='Dividends of firms')\n",
    "    model.var('FUb', desc='Retained earnings of banks')\n",
    "    model.var('FUbt', desc='Targt retained earnings of banks')\n",
    "    model.var('FUf', desc='Retained earnings of firms')\n",
    "    model.var('FUft', desc='Planned retained earnings of firms')\n",
    "    model.var('G', desc='Government expenditures')\n",
    "    model.var('Gk', desc='Real government expenditures')\n",
    "    model.var('GD', desc='Government debt')\n",
    "    model.var('GL', desc='Gross amount of new personal loans')\n",
    "    model.var('GRk', desc='growth_mod of real capital stock')\n",
    "    model.var('Hbd', desc='Cash required by banks')\n",
    "    model.var('Hbs', desc='Cash supplied to banks')\n",
    "    model.var('Hhd', desc='Households demand for cash')\n",
    "    model.var('Hhs', desc='Cash supplied to households')\n",
    "    model.var('Hs', desc='Total supply of cash')\n",
    "    model.var('HCe', desc='Expected historical costs')\n",
    "    model.var('INV', desc='Gross investment')\n",
    "    model.var('Ik', desc='Gross investment in real terms')\n",
    "    model.var('IN', desc='Stock of inventories at current costs')\n",
    "    model.var('INk', desc='Real inventories')\n",
    "    model.var('INke', desc='Expected real inventories')\n",
    "    model.var('INkt', desc='Target level of real inventories')\n",
    "    model.var('K', desc='Capital stock')\n",
    "    model.var('Kk', desc='Real capital stock')\n",
    "    model.var('Lfd', desc='Demand for loans by firms')\n",
    "    model.var('Lfs', desc='Supply of loans to firms')\n",
    "    model.var('Lhd', desc='Demand for loans by households')\n",
    "    model.var('Lhs', desc='Loans supplied to households')\n",
    "    model.var('Md', desc='Deposits demanded by households')\n",
    "    model.var('Ms', desc='Deposits supplied by banks')\n",
    "    model.var('N', desc='Employment level')\n",
    "    model.var('Nt', desc='Desired employment level')\n",
    "    model.var('NHUC', desc='Normal historic unit cost')\n",
    "    model.var('NL', desc='Net flow of new loans to the household sector')\n",
    "    model.var('NLk', desc='Real flow of new loans to the household sector')\n",
    "    model.var('NPL', desc='Non-Performing loans')\n",
    "    model.var('NPLke', desc='Expected proportion of Non-Performing Loans')\n",
    "    model.var('NUC', desc='Normal unit cost')\n",
    "    model.var('OFb', desc='Own funds of banks')\n",
    "    model.var('OFbe', desc='Short-run target for banks own funds')\n",
    "    model.var('OFbt', desc='Long-run target for banks own funds')\n",
    "    model.var('omegat', desc='Target real wage for workers')\n",
    "    model.var('P', desc='Price level')\n",
    "    model.var('Pbl', desc='Price of government bonds')\n",
    "    model.var('Pe', desc='Price of equities')\n",
    "    model.var('PE', desc='Price earnings ratio')\n",
    "    model.var('PI', desc='Price inflation')\n",
    "    model.var('PR', desc='Lobor productivity')\n",
    "    model.var('PSBR', desc='Government deficit')\n",
    "    model.var('Q', desc=\"Tobin's Q\")\n",
    "    model.var('Rb', desc='Interest rate on government bills')\n",
    "    model.var('Rbl', desc='Interest rate on bonds')\n",
    "    model.var('Rk', desc='Dividend yield of firms')\n",
    "    model.var('Rl', desc='Interest rate on loans')\n",
    "    model.var('Rm', desc='Interest rate on deposits')\n",
    "    model.var('REP', desc='Personal loans repayments')\n",
    "    model.var('RRl', desc='Real interest rate on loans')\n",
    "    model.var('S', desc='Sales at current prices')\n",
    "    model.var('Sk', desc='Real sales')\n",
    "    model.var('Ske', desc='Expected real sales')\n",
    "    model.var('T', desc='Taxes')\n",
    "    model.var('U', desc='Capital utilization proxy')\n",
    "    model.var('UC', desc='Unit costs')\n",
    "    model.var('V', desc='Wealth of households')\n",
    "    model.var('Vk', desc='Real wealth of households')\n",
    "    model.var('Vfma', desc='Investible wealth of households')\n",
    "    model.var('W', desc='Wage rate')\n",
    "    model.var('WB', desc='The wage bill')\n",
    "    model.var('Y', desc='Output at current prices (nominal GDP)')\n",
    "    model.var('Yk', desc='Real output')\n",
    "    model.var('YDhs', desc='Haig-Simons measure of disposable income')\n",
    "    model.var('YDr', desc='Regular disposable income')\n",
    "    model.var('YDkr', desc='Regular real disposable income')\n",
    "    model.var('YDkre', desc='Expected regular real disposable income')\n",
    "    model.var('YP', desc='Personal income')\n",
    "\n",
    "    model.var('eta', desc='Ratio of new loans to personal income')\n",
    "    model.var('phi', desc='Mark-up on unit costs')\n",
    "    model.var('phit', desc='Ideal mark-up on unit costs')\n",
    "    model.var('z1a', desc='Is one if bank liquidity ratio is below bottom range')\n",
    "    model.var('z1b', desc='Is one if bank liquidity ratio is below bottom range')\n",
    "    model.var('z2a', desc='Is one if bank liquidity ratio is above top range')\n",
    "    model.var('z2b', desc='Is one if bank liquidity ratio is above top range')\n",
    "    model.var('z3', desc='Parameter in wage aspiration equation')\n",
    "    model.var('z4', desc='Parameter in wage aspiration equation')\n",
    "    model.var('z5', desc='Parameter in wage aspiration equation')\n",
    "    model.var('sigmase', desc='Opening inventories to expected sales ratio')\n",
    "    \n",
    "    model.param('alpha1', desc='Propensity to consume out of income')\n",
    "    model.param('alpha2', desc='Propensity to consume out of wealth')\n",
    "    model.param('beta', desc='Parameter in expectation formations on real sales')\n",
    "    model.param('betab', desc='Spped of adjustment of banks own funds')\n",
    "    model.param('bot', desc='Bottom value for bank net liquidity ratio')\n",
    "    model.param('delta', desc='Rate of depreciation of fixed capital')\n",
    "    model.param('deltarep', desc='Ratio of personal loans repayments to stock of loans')\n",
    "    model.param('eps', desc='Parameter in expectation formations on real disposable income')\n",
    "    model.param('eps2', desc='Speed of adjustment of mark-up')\n",
    "    model.param('epsb', desc='Speed of adjustment in expected proportion of non-performing loans')\n",
    "    model.param('epsrb', desc='Speed of adjustment in the real interest rate on bills')\n",
    "    model.param('eta0', desc='Ratio of new loans to personal income - exogenous component')\n",
    "    model.param('etan', desc='Speed of adjustment of actual employment to desired employment')\n",
    "    model.param('etar', desc='Relation between the ratio of new loans to personal income and the interest rate on loans')\n",
    "    model.param('gamma', desc='Speed of adjustment of inventories to the target level')\n",
    "    model.param('gamma0', desc='Exogenous growth_mod in the real stock of capital')\n",
    "    model.param('gammar', desc='Relation between the real interest rate and growth_mod in the stock of capital')\n",
    "    model.param('gammau', desc='Relation between the utilization rate and growth_mod in the stock of capital')\n",
    "    model.param('lambda20', desc='Parameter in households demand for bills')\n",
    "    model.param('lambda21', desc='Parameter in households demand for bills')\n",
    "    model.param('lambda22', desc='Parameter in households demand for bills')\n",
    "    model.param('lambda23', desc='Parameter in households demand for bills')\n",
    "    model.param('lambda24', desc='Parameter in households demand for bills')\n",
    "    model.param('lambda25', desc='Parameter in households demand for bills')\n",
    "    model.param('lambda30', desc='Parameter in households demand for bonds')\n",
    "    model.param('lambda31', desc='Parameter in households demand for bonds')\n",
    "    model.param('lambda32', desc='Parameter in households demand for bonds')\n",
    "    model.param('lambda33', desc='Parameter in households demand for bonds')\n",
    "    model.param('lambda34', desc='Parameter in households demand for bonds')\n",
    "    model.param('lambda35', desc='Parameter in households demand for bonds')\n",
    "    model.param('lambda40', desc='Parameter in households demand for equities')\n",
    "    model.param('lambda41', desc='Parameter in households demand for equities')\n",
    "    model.param('lambda42', desc='Parameter in households demand for equities')\n",
    "    model.param('lambda43', desc='Parameter in households demand for equities')\n",
    "    model.param('lambda44', desc='Parameter in households demand for equities')\n",
    "    model.param('lambda45', desc='Parameter in households demand for equities')\n",
    "    model.param('lambdab', desc='Parameter determining dividends of banks')\n",
    "    model.param('lambdac', desc='Parameter in households demand for cash')\n",
    "    model.param('psid', desc='Ratio of dividends to gross profits')\n",
    "    model.param('psiu', desc='Ratio of retained earnings to investments')\n",
    "    model.param('ro', desc='Reserve requirement parameter')\n",
    "    model.param('sigman', desc='Parameter of influencing normal historic unit costs')\n",
    "    model.param('theta', desc='Income tax rate')\n",
    "    model.param('top', desc='Top value for bank net liquidity ratio')\n",
    "    model.param('xim1', desc='Parameter in the equation for setting interest rate on deposits')\n",
    "    model.param('xim2', desc='Parameter in the equation for setting interest rate on deposits')\n",
    "    model.param('omega0', desc='Parameter influencing the target real wage for workers')\n",
    "    model.param('omega1', desc='Parameter influencing the target real wage for workers')\n",
    "    model.param('omega2', desc='Parameter influencing the target real wage for workers')\n",
    "    model.param('omega3', desc='Speed of adjustment of wages to target value')\n",
    "\n",
    "\n",
    "    model.param('ADDbl', desc='Spread between long-term interest rate and rate on bills')\n",
    "    model.param('BANDb', desc='Lower range of the flat Phillips curve')\n",
    "    model.param('BANDt', desc='Upper range of the flat Phillips curve')\n",
    "    model.param('GRg', desc='growth_mod of real government expenditures')\n",
    "    model.param('GRpr', desc='growth_mod rate of productivity')\n",
    "    model.param('NCAR', desc='Normal capital adequacy ratio of banks')\n",
    "    model.param('Nfe', desc='Full employment level')\n",
    "    model.param('NPLk', desc='Proportion of Non-Performing loans')\n",
    "    model.param('RA', desc='Random shock to expectations on real sales')\n",
    "    model.param('Rbbar', desc='Interest rate on bills, set exogenously')\n",
    "    model.param('Rln', desc='Normal interest rate on loans')\n",
    "    model.param('RRb', desc='Real interest rate on bills')\n",
    "    model.param('sigmas', desc='Realized inventories to sales ratio')\n",
    "    model.param('sigmat', desc='Target inventories to sales ratio')\n",
    "\n",
    "\n",
    "    # Box 11.1 : Firms' equations\n",
    "    # ---------------------------\n",
    "    model.add('Yk = Ske + INke - INk(-1)')          # 11.1 : Real output\n",
    "    model.add('Ske = beta*Sk + (1-beta)*Sk(-1)*(1 + (GRpr + RA))') # 11.2 : Expected real sales\n",
    "    model.add('INke = INk(-1) + gamma*(INkt - INk(-1))')  # 11.3 : Long-run inventory target\n",
    "    model.add('INkt = sigmat*Ske')                  # 11.4 : Short-run inventory target\n",
    "    model.add('INk - INk(-1) = Yk - Sk - NPL/UC')   # 11.5 : Actual real inventories\n",
    "    model.add('Kk = Kk(-1)*(1 + GRk)')              # 11.6 : Real capital stock\n",
    "    model.add('GRk = gamma0 + gammau*U(-1) - gammar*RRl')  # 11.7 : Growth of real capital stock\n",
    "    model.add('U = Yk/Kk(-1)')                      # 11.8 : Capital utilization proxy\n",
    "    model.add('RRl = ((1 + Rl)/(1 + PI)) - 1')      # 11.9 : Real interest rate on loans\n",
    "    model.add('PI = (P - P(-1))/P(-1)')             # 11.10 : Rate of price inflation\n",
    "    model.add('Ik = d(Kk) + delta*Kk(-1)')          # 11.11 : Real gross investment\n",
    "\n",
    "    # Box 11.2 : Firms' equations\n",
    "    # ---------------------------\n",
    "    model.add('Sk = Ck + Gk + Ik')                  # 11.12 : Actual real sales\n",
    "    model.add('S = Sk*P')                           # 11.13 : Value of realized sales\n",
    "    model.add('IN = INk*UC')                        # 11.14 : Inventories valued at current cost\n",
    "    model.add('INV = Ik*P')                         # 11.15 : Nominal gross investment\n",
    "    model.add('K = Kk*P')                           # 11.16 : Nomincal value of fixed capital\n",
    "    model.add('Y = Sk*P + d(INk)*UC')               # 11.17 : Nomincal GDP\n",
    "\n",
    "    # Box 11.3 : Firms' equations\n",
    "    # ---------------------------\n",
    "    # 11.18 : Real wage aspirations\n",
    "    model.add('omegat = exp(omega0 + omega1*log(PR) + omega2*log(ER + z3*(1 - ER) - z4*BANDt + z5*BANDb))')\n",
    "    model.add('ER = N(-1)/Nfe(-1)')                 # 11.19 : Employment rate\n",
    "    # 11.20 : Switch variables\n",
    "    model.add('z3 = if_true(ER > (1-BANDb)) * if_true(ER <= (1+BANDt))')\n",
    "    model.add('z4 = if_true(ER > (1+BANDt))')\n",
    "    model.add('z5 = if_true(ER < (1-BANDb))')\n",
    "    model.add('W - W(-1) = omega3*(omegat*P(-1) - W(-1))')  # 11.21 : Nominal wage\n",
    "    model.add('PR = PR(-1)*(1 + GRpr)')             # 11.22 : Labor productivity\n",
    "    model.add('Nt = Yk/PR')                         # 11.23 : Desired employment\n",
    "    model.add('N - N(-1) = etan*(Nt - N(-1))')      # 11.24 : Actual employment\n",
    "    model.add('WB = N*W')                           # 11.25 : Nominal wage bill\n",
    "    model.add('UC = WB/Yk')                         # 11.26 : Actual unit cost\n",
    "    model.add('NUC = W/PR')                         # 11.27 : Normal unit cost\n",
    "    model.add('NHUC = (1 - sigman)*NUC + sigman*(1 + Rln(-1))*NUC(-1)')  # 11.28 : Normal historic unit cost\n",
    "\n",
    "    # Box 11.4 : Firms' equations\n",
    "    # ---------------------------\n",
    "    model.add('P = (1 + phi)*NHUC')                 # 11.29 : Normal-cost pricing\n",
    "    model.add('phi - phi(-1) = eps2*(phit(-1) - phi(-1))')  # 11.30 : Actual mark-up\n",
    "    # 11.31 : Ideal mark-up\n",
    "    model.add('phit = (FDf + FUft + Rl(-1)*(Lfd(-1) - IN(-1)))/((1 - sigmase)*Ske*UC + (1 + Rl(-1))*sigmase*Ske*UC(-1))')\n",
    "    model.add('HCe = (1 - sigmase)*Ske*UC + (1 + Rl(-1))*sigmase*Ske*UC(-1)')  # 11.32 : Expected historical costs\n",
    "    model.add('sigmase = INk(-1)/Ske')              # 11.33 : Opening inventories to expected sales ratio\n",
    "    model.add('Fft = FUft + FDf + Rl(-1)*(Lfd(-1) - IN(-1))')  # 11.34 : Planned entrepeneurial profits of firmss\n",
    "    model.add('FUft = psiu*INV(-1)')                # 11.35 : Planned retained earnings of firms\n",
    "    model.add('FDf = psid*Ff(-1)')                  # 11.36 : Dividends of firms\n",
    "\n",
    "    # Box 11.5 : Firms' equations\n",
    "    # ---------------------------\n",
    "    model.add('Ff = S - WB + d(IN) - Rl(-1)*IN(-1)')  # 11.37 : Realized entrepeneurial profits\n",
    "    model.add('FUf = Ff - FDf - Rl(-1)*(Lfd(-1) - IN(-1)) + Rl(-1)*NPL')  # 11.38 : Retained earnings of firms\n",
    "    # 11.39 : Demand for loans by firms\n",
    "    model.add('Lfd - Lfd(-1) = INV + d(IN) - FUf - d(Eks)*Pe - NPL')\n",
    "    model.add('NPL = NPLk*Lfs(-1)')                 # 11.40 : Defaulted loans\n",
    "    model.add('Eks - Eks(-1) = ((1 - psiu)*INV(-1))/Pe')  # 11.41 : Supply of equities issued by firms\n",
    "    model.add('Rk = FDf/(Pe(-1)*Ekd(-1))')          # 11.42 : Dividend yield of firms\n",
    "    model.add('PE = Pe/(Ff/Eks(-1))')               # 11.43 : Price earnings ratio\n",
    "    model.add('Q = (Eks*Pe + Lfd)/(K + IN)')        # 11.44 : Tobin's Q ratio\n",
    "\n",
    "    # Box 11.6 : Households' equations\n",
    "    # --------------------------------\n",
    "    model.add('YP = WB + FDf + FDb + Rm(-1)*Md(-1) + Rb(-1)*Bhd(-1) + BLs(-1)')  # 11.45 : Personal income\n",
    "    model.add('T = theta*YP')                       # 11.46 : Income taxes\n",
    "    model.add('YDr = YP - T - Rl(-1)*Lhd(-1)')      # 11.47 : Regular disposable income\n",
    "    model.add('YDhs = YDr + CG')                    # 11.48 : Haig-Simons disposable income\n",
    "    # !1.49 : Capital gains\n",
    "    model.add('CG = d(Pbl)*BLd(-1) + d(Pe)*Ekd(-1) + d(OFb)')\n",
    "    # 11.50 : Wealth\n",
    "    model.add('V - V(-1) = YDr - CONS + d(Pe)*Ekd(-1) + d(Pbl)*BLs(-1) + d(OFb)')\n",
    "    model.add('Vk = V/P')                           # 11.51 : Real staock of wealth\n",
    "    model.add('CONS = Ck*P')                        # 11.52 : Consumption\n",
    "    model.add('Ck = alpha1*(YDkre + NLk) + alpha2*Vk(-1)')  # 11.53 : Real consumption\n",
    "    model.add('YDkre = eps*YDkr + (1 - eps)*YDkr(-1)*(1 + GRpr)')  # 11.54 : Expected real regular disposable income\n",
    "    model.add('YDkr = YDr/P - d(P)*Vk(-1)/P')  # 11.55 : Real regular disposable income\n",
    "\n",
    "    # Box 11.7 : Households' equations\n",
    "    # --------------------------------\n",
    "    model.add('GL = eta*YDr')                       # 11.56 : Gross amount of new personal loans\n",
    "    model.add('eta = eta0 - etar*RRl')              # 11.57 : New loans to personal income ratio\n",
    "    model.add('NL = GL - REP')                      # 11.58 : Net amount of new personal loans\n",
    "    model.add('REP = deltarep*Lhd(-1)')             # 11.59 : Personal loans repayments\n",
    "    model.add('Lhd - Lhd(-1) = GL - REP')           # 11.60 : Demand for personal loans\n",
    "    model.add('NLk = NL/P')                         # 11.61 : Real amount of new personal loans\n",
    "    model.add('BUR = (REP + Rl(-1)*Lhd(-1))/YDr(-1)')  # 11.62 : Burden of personal debt\n",
    "\n",
    "    # Box 11.8 : Households equations - portfolio decisions\n",
    "    # -----------------------------------------------------\n",
    "\n",
    "    # 11.64 : Demand for bills\n",
    "    model.add('Bhd = Vfma(-1)*(lambda20 + lambda22*Rb(-1) - lambda21*Rm(-1) - lambda24*Rk(-1) - lambda23*Rbl(-1) - lambda25*YDr/V)')\n",
    "    # 11.65 : Demand for bonds\n",
    "    model.add('BLd = Vfma(-1)*(lambda30 - lambda32*Rb(-1) - lambda31*Rm(-1) - lambda34*Rk(-1) + lambda33*Rbl(-1) - lambda35*YDr/V)/Pbl')\n",
    "    # 11.66 : Demand for equities - normalized to get the price of equitities\n",
    "    model.add('Pe = Vfma(-1)*(lambda40 - lambda42*Rb(-1) - lambda41*Rm(-1) + lambda44*Rk(-1) - lambda43*Rbl(-1) - lambda45*YDr/V)/Ekd')\n",
    "    model.add('Md = Vfma - Bhd - Pe*Ekd - Pbl*BLd + Lhd')  # 11.67 : Money deposits - as a residual\n",
    "    model.add('Vfma = V - Hhd - OFb')               # 11.68 : Investible wealth\n",
    "    model.add('Hhd = lambdac*CONS')                 # 11.69 : Households' demand for cash\n",
    "    model.add('Ekd = Eks')                          # 11.70 : Stock market equilibrium\n",
    "\n",
    "    # Box 11.9 : Government's equations\n",
    "    # ---------------------------------\n",
    "    model.add('G = Gk*P')                           # 11.71 : Pure government expenditures\n",
    "    model.add('Gk = Gk(-1)*(1 + GRg)')              # 11.72 : Real government expenditures\n",
    "    model.add('PSBR = G + BLs(-1) + Rb(-1)*(Bbs(-1) + Bhs(-1)) - T')  # 11.73 : Government deficit\n",
    "    # 11.74 : New issues of bills\n",
    "    model.add('Bs - Bs(-1) = G - T - d(BLs)*Pbl + Rb(-1)*(Bhs(-1) + Bbs(-1)) + BLs(-1)')\n",
    "    model.add('GD = Bbs + Bhs + BLs*Pbl + Hs')      # 11.75 : Government debt\n",
    "\n",
    "    # Box 11.10 : The Central bank's equations\n",
    "    # ----------------------------------------\n",
    "    model.add('Fcb = Rb(-1)*Bcbd(-1)')              # 11.76 : Central bank profits\n",
    "    model.add('BLs = BLd')                          # 11.77 : Bonds are supplied on demand\n",
    "    model.add('Bhs = Bhd')                          # 11.78 : Household bills supplied on demand\n",
    "    model.add('Hhs = Hhd')                          # 11.79 : Cash supplied on demand\n",
    "    model.add('Hbs = Hbd')                          # 11.80 : Reserves supplied on demand\n",
    "    model.add('Hs = Hbs + Hhs')                     # 11.81 : Total supply of cash\n",
    "    model.add('Bcbd = Hs')                          # 11.82 : Central bankd \n",
    "    model.add('Bcbs = Bcbd')                        # 11.83 : Supply of bills to Central bank\n",
    "    model.add('Rb = Rbbar')                         # 11.84 : Interest rate on bills set exogenously\n",
    "    model.add('Rbl = Rb + ADDbl')                   # 11.85 : Long term interest rate\n",
    "    model.add('Pbl = 1/Rbl')                        # 11.86 : Price of long-term bonds\n",
    "\n",
    "    # Box 11.11 : Commercial Bank's equations\n",
    "    # ---------------------------------------\n",
    "    model.add('Ms = Md')                            # 11.87 : Bank deposits supplied on demand\n",
    "    model.add('Lfs = Lfd')                          # 11.88 : Loans to firms supplied on demand\n",
    "    model.add('Lhs = Lhd')                          # 11.89 : Personal loans supplied on demand\n",
    "    model.add('Hbd = ro*Ms')                        # 11.90 : Reserve requirements of banks\n",
    "    # 11.91 : Bills supplied to banks\n",
    "    model.add('Bbs - Bbs(-1) = d(Bs) - d(Bhs) - d(Bcbs)')\n",
    "    # 11.92 : Balance sheet constraint of banks\n",
    "    model.add('Bbd = Ms + OFb - Lfs - Lhs - Hbd') \n",
    "    model.add('BLR = Bbd/Ms')                       # 11.93 : Bank liquidity ratio\n",
    "    # 11.94 : Deposit interest rate\n",
    "    model.add('Rm - Rm(-1) = z1a*xim1 + z1b*xim2 - z2a*xim1 - z2b*xim2')\n",
    "    # 11.95-97 : Mechanism for determining changes to the interest rate on deposits\n",
    "    model.add('z2a = if_true(BLR(-1) > (top + .05))')\n",
    "    model.add('z2b = if_true(BLR(-1) > top)')\n",
    "    model.add('z1a = if_true(BLR(-1) <= bot)')\n",
    "    model.add('z1b = if_true(BLR(-1) <= (bot -.05))')\n",
    "\n",
    "    # Box 11.12 : Commercial bank's equations\n",
    "    # ---------------------------------------\n",
    "    model.add('Rl = Rm + ADDl')                     # 11.98 : Loan interest rate\n",
    "    model.add('OFbt = NCAR*(Lfs(-1) + Lhs(-1))')    # 11.99 : Long-run own funds target\n",
    "    model.add('OFbe = OFb(-1) + betab*(OFbt - OFb(-1))')  # 11.100 : Short-run own funds target\n",
    "    model.add('FUbt = OFbe - OFb(-1) + NPLke*Lfs(-1)')  # 11.101 : Target retained earnings of banks\n",
    "    model.add('NPLke = epsb*NPLke(-1) + (1 - epsb)*NPLk(-1)')  # 11.102 : Expected proportion of non-performaing loans\n",
    "    model.add('FDb = Fb - FUb')                     # 11.103 : Dividends of banks\n",
    "    model.add('Fbt = lambdab*Y(-1) + (OFbe - OFb(-1) + NPLke*Lfs(-1))')  # 11.104 : Target profits of banks\n",
    "    # 11.105 : Actual profits of banks\n",
    "    model.add('Fb = Rl(-1)*(Lfs(-1) + Lhs(-1) - NPL) + Rb(-1)*Bbd(-1) - Rm(-1)*Ms(-1)')\n",
    "    # 11.106 : Lending mark-up over deposit rate\n",
    "    model.add('ADDl = (Fbt - Rb(-1)*Bbd(-1) + Rm*(Ms(-1) - (1 - NPLke)*Lfs(-1) - Lhs(-1)))/((1 - NPLke)*Lfs(-1) + Lhs(-1))')\n",
    "    model.add('FUb = Fb - lambdab*Y(-1)')           # 11.107 : Actual retained earnings\n",
    "    model.add('OFb - OFb(-1) = FUb - NPL')          # 11.108 : Own funds of banks\n",
    "    model.add('CAR = OFb/(Lfs + Lhs)')              # 11.109 : Actual capital capacity ratio\n",
    "\n",
    "    return model\n",
    "\n",
    "growth_parameters = {'alpha1': 0.75,\n",
    "                     'alpha2': 0.064,\n",
    "                     'beta': 0.5,\n",
    "                     'betab': 0.4,\n",
    "                     'gamma': 0.15,\n",
    "                     'gamma0': 0.00122,\n",
    "                     'gammar': 0.1,\n",
    "                     'gammau': 0.05,\n",
    "                     'delta': 0.10667,\n",
    "                     'deltarep': 0.1,\n",
    "                     'eps': 0.5,\n",
    "                     'eps2': 0.8,\n",
    "                     'epsb': 0.25,\n",
    "                     'epsrb': 0.9,\n",
    "                     'eta': 0.04918,\n",
    "                     'eta0': 0.07416,\n",
    "                     'etan': 0.6,\n",
    "                     'etar': 0.4,\n",
    "                     'theta': 0.22844,\n",
    "                     'lambda20': 0.25,\n",
    "                     'lambda21': 2.2,\n",
    "                     'lambda22': 6.6,\n",
    "                     'lambda23': 2.2,\n",
    "                     'lambda24': 2.2,\n",
    "                     'lambda25': 0.1,\n",
    "                     'lambda30': -0.04341,\n",
    "                     'lambda31': 2.2,\n",
    "                     'lambda32': 2.2,\n",
    "                     'lambda33': 6.6,\n",
    "                     'lambda34': 2.2,\n",
    "                     'lambda35': 0.1,\n",
    "                     'lambda40': 0.67132,\n",
    "                     'lambda41': 2.2,\n",
    "                     'lambda42': 2.2,\n",
    "                     'lambda43': 2.2,\n",
    "                     'lambda44': 6.6,\n",
    "                     'lambda45': 0.1,\n",
    "                     'lambdab': 0.0153,\n",
    "                     'lambdac': 0.05,\n",
    "                     'xim1': 0.0008,\n",
    "                     'xim2': 0.0007,\n",
    "                     'ro': 0.05,\n",
    "                     'sigman': 0.1666,\n",
    "                     'sigmase': 0.16667,\n",
    "                     'sigmat': 0.2,\n",
    "                     'phi': 0.26417,\n",
    "                     'phit': 0.26417,\n",
    "                     'psid': 0.15255,\n",
    "                     'psiu': 0.92,\n",
    "                     'omega0': -0.20594,\n",
    "                     'omega1': 1,\n",
    "                     'omega2': 2,\n",
    "                     'omega3': 0.45621\n",
    "                     }\n",
    "\n",
    "growth_exogenous = [('ADDbl', 0.02),\n",
    "                    ('BANDt', 0.01),\n",
    "                    ('BANDb', 0.01),\n",
    "                    ('bot', 0.05),\n",
    "                    ('GRg', 0.03),\n",
    "                    ('GRpr', 0.03),\n",
    "                    ('Nfe', 87.181),\n",
    "                    ('NCAR', 0.1),\n",
    "                    ('NPLk', 0.02),\n",
    "                    ('Rbbar', 0.035),\n",
    "                    ('Rln', 0.07),\n",
    "                    ('RA', 0),\n",
    "                    ('top', 0.12),\n",
    "\n",
    "                    ('ADDl', 0.04592),\n",
    "                    ('BLR', 0.1091),\n",
    "                    ('BUR', 0.06324),\n",
    "                    ('Ck', 7334240),\n",
    "                    ('CAR', 0.09245),\n",
    "                    ('CONS', 52603100),\n",
    "                    ('ER', 1),\n",
    "                    ('Fb', 1744130),\n",
    "                    ('Fbt', 1744140),\n",
    "                    ('Ff', 18081100),\n",
    "                    ('Fft', 18013600),\n",
    "                    ('FDb', 1325090),\n",
    "                    ('FDf', 2670970),\n",
    "                    ('FUb', 419039),\n",
    "                    ('FUf', 15153800),\n",
    "                    ('FUft', 15066200),\n",
    "                    ('G', 16755600),\n",
    "                    ('Gk', 2336160),\n",
    "                    ('GL', 2775900),\n",
    "                    ('GRk', 0.03001),\n",
    "                    ('INV', 16911600),\n",
    "                    ('Ik', 2357910),\n",
    "                    ('N', 'Nfe'),\n",
    "                    ('Nt', 'Nfe'),\n",
    "                    ('NHUC', 5.6735),\n",
    "                    ('NL', 683593),\n",
    "                    ('NLk', 95311),\n",
    "                    ('NPL', 309158),\n",
    "                    ('NPLke', 0.02),\n",
    "                    ('NUC', 5.6106),\n",
    "                    ('omegat', 112852),\n",
    "                    ('P', 7.1723),\n",
    "                    ('Pbl', 18.182),\n",
    "                    ('Pe', 17937),\n",
    "                    ('PE', 5.07185),\n",
    "                    ('PI', 0.0026),\n",
    "                    ('PR', 138659),\n",
    "                    ('PSBR', 1894780),\n",
    "                    ('Q', 0.77443),\n",
    "                    ('Rb', 0.035),\n",
    "                    ('Rbl', 0.055),\n",
    "                    ('Rk', 0.03008),\n",
    "                    ('Rl', 0.06522),\n",
    "                    ('Rm', 0.0193),\n",
    "                    ('REP', 2092310),\n",
    "                    ('RRb', 0.03232),\n",
    "                    ('RRl', 0.06246),\n",
    "                    ('S', 86270300),\n",
    "                    ('Sk', 12028300),\n",
    "                    ('Ske', 'Sk'),\n",
    "                    ('T', 17024100),\n",
    "                    ('U', 0.70073),\n",
    "                    ('UC', 5.6106),\n",
    "                    ('W', 777968),\n",
    "                    ('WB', 67824000),\n",
    "                    ('Y', 86607700),\n",
    "                    ('Yk', 12088400),\n",
    "                    ('YDr', 56446400),\n",
    "                    ('YDkr', 7813270),\n",
    "                    ('YDkre', 7813290),\n",
    "                    ('YP', 73158700),\n",
    "                    ('z1a', 0),\n",
    "                    ('z1b', 0),\n",
    "                    ('z2a', 0),\n",
    "                    ('z2b', 0),\n",
    "                    ]\n",
    "\n",
    "                          \n",
    "growth_variables = [('Bbd', 4388930),\n",
    "                    ('Bbs', 4389790),\n",
    "                    ('Bcbd', 4655690),\n",
    "                    ('Bcbs', 4655690),\n",
    "                    ('Bhd', 33396900),\n",
    "                    ('Bhs', 'Bhd'),\n",
    "                    ('Bs', 42484800),\n",
    "                    ('BLd', 840742),\n",
    "                    ('BLs', 'BLd'),\n",
    "                    ('GD', 57728700),\n",
    "                    ('Ekd', 5112.6001),\n",
    "                    ('Eks', 'Ekd'),\n",
    "                    ('Hbd', 2025540),\n",
    "                    ('Hbs', 'Hbd'),\n",
    "                    ('Hhd', 2630150),\n",
    "                    ('Hhs', 'Hhd'),\n",
    "                    ('Hs', 'Hbd + Hhd'),\n",
    "                    ('IN', 11585400),\n",
    "                    ('INk', 2064890),\n",
    "                    ('INke', 2405660),\n",
    "                    ('INkt', 'INk'),\n",
    "                    ('K', 127444000),\n",
    "                    ('Kk', 17768900),\n",
    "                    ('Lfd', 15962900),\n",
    "                    ('Lfs', 'Lfd'),\n",
    "                    ('Lhd', 21606600),\n",
    "                    ('Lhs', 'Lhd'),\n",
    "                    ('Md', 40510800),\n",
    "                    ('Ms', 'Md'),\n",
    "                    ('OFb', 3473280),\n",
    "                    ('OFbe', 3782430),\n",
    "                    ('OFbt', 3638100),\n",
    "                    ('V', 165395000),\n",
    "                    ('Vfma', 159291000),\n",
    "                    ('Vk', 22576100),\n",
    "                    ]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, baseline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "baseline = create_growth_model()\n",
    "baseline.set_values(growth_parameters)\n",
    "baseline.set_values(growth_exogenous)\n",
    "baseline.set_values(growth_variables)\n",
    "\n",
    "for _ in range(100):\n",
    "    baseline.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, Increase in the target real wage rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "omega0 = create_growth_model()\n",
    "omega0.set_values(growth_parameters)\n",
    "omega0.set_values(growth_exogenous)\n",
    "omega0.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    omega0.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "omega0.set_values({'omega0': -0.15})\n",
    "\n",
    "for _ in range(90):\n",
    "    omega0.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.2A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.2A  Evolution of wage inflation and price inflation, following an autonomous\n",
    "    increase in the target real wage'''\n",
    "\n",
    "pidata = list()\n",
    "widata = list()\n",
    "for i in range(5, 80):\n",
    "    s = omega0.solutions[i]\n",
    "    s_1 = omega0.solutions[i-1]\n",
    "    pidata.append(s['PI']*100)\n",
    "    widata.append((s['W']/s_1['W'] - 1)*100)\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "#axes.set_ylim(0.975, 1.034)\n",
    "\n",
    "axes.plot(pidata, linestyle='-', color='b')\n",
    "axes.plot(widata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(12, 2.1, 'Price inflation percentage rate')\n",
    "plt.text(12, 5.5, 'Wage inflation percentage rate')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.2B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.2B  Evolution of real gross fixed investment, real output and real\n",
    "    consumption, all relative to the base line solution, following an autonomous\n",
    "    increase in the target real wage'''\n",
    "\n",
    "idata = list()\n",
    "ydata = list()\n",
    "cdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = omega0.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    idata.append(s['Ik']/base['Ik'])\n",
    "    ydata.append(s['Yk']/base['Yk'])\n",
    "    cdata.append(s['Ck']/base['Ck'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "#axes.set_ylim(0.975, 1.034)\n",
    "\n",
    "axes.plot(idata, linestyle='-', color='b')\n",
    "axes.plot(ydata, linestyle='--', color='g')\n",
    "axes.plot(cdata, linestyle=':', linewidth=2, color='r')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 1.005, 'Real fixed investment')\n",
    "plt.text(30, 0.975, 'Real output')\n",
    "plt.text(30, 0.945, 'Real consumption')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, increase in target real wage rate which does not affect long-run real interest rate on bills"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "omega0_rbbar = create_growth_model()\n",
    "omega0_rbbar.set_values(growth_parameters)\n",
    "omega0_rbbar.set_values(growth_exogenous)\n",
    "omega0_rbbar.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    omega0_rbbar.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "omega0_rbbar.set_values({'omega0': -.15, 'Rbbar': 'Rbbar+.011'})\n",
    "\n",
    "for _ in range(90):\n",
    "    omega0_rbbar.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.2C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.2C  Evolution of the real interest rate on bills, following an autonomous\n",
    "    increase in inflation, when the nominal bill rate is set so as to ensure a long-run\n",
    "    real rate which is no different from the real rate of the baseline solution'''\n",
    "\n",
    "data = [s['Rb'] - s['PI'] for s in omega0_rbbar.solutions[3:70]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "#axes.set_ylim(0.975, 1.034)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(20, .035, 'Real interest rate on bills')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.2D  Evolution of real output, relative to the baseline solution, following\n",
    "    an autonomous increase in inflation, when the nominal bill rate is set as to ensure\n",
    "    a long-run real rate which is no different from the real rate of the baseline solution'''\n",
    "\n",
    "data = list()\n",
    "for i in range(5, 70):\n",
    "    s = omega0_rbbar.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    data.append(s['Yk']/base['Yk'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.94, 1.01)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(20, 0.975, 'Real output')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in the growth rate of government expenditure for one year"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "grg_one = create_growth_model()\n",
    "grg_one.set_values(growth_parameters)\n",
    "grg_one.set_values(growth_exogenous)\n",
    "grg_one.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    grg_one.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "saved_grg = grg_one.parameters['GRg'].value\n",
    "grg_one.set_values({'GRg': 0.035})\n",
    "\n",
    "grg_one.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "grg_one.set_values({'GRg': saved_grg})\n",
    "\n",
    "for _ in range(89):\n",
    "    grg_one.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.3A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.3A  Evolution of real output and real government expenditures, relative\n",
    "    to the baseline solution, following an increase in the rate of growth of real pure \n",
    "    government expenditures for only one year'''\n",
    "\n",
    "ydata = list()\n",
    "gdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = grg_one.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    ydata.append(s['Yk']/base['Yk'])\n",
    "    gdata.append(s['Gk']/base['Gk'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.975, 1.034)\n",
    "\n",
    "axes.plot(ydata, linestyle='--', color='g')\n",
    "axes.plot(gdata, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 1.00, 'real pure government expenditure')\n",
    "plt.text(30, 1.01, 'real output')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.3B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.3B  Evolution of the employment rate, assumed to be at unity in the\n",
    "    baseline solution, following an increase in the rate of growth of real pure\n",
    "    government expenditures for only one year'''\n",
    "\n",
    "data = list()\n",
    "for i in range(5, 80):\n",
    "    s = grg_one.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    data.append(s['ER'] - base['ER'] + 1)\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.975, 1.03)\n",
    "axes.plot(data, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 1.00, 'employment rate')\n",
    "plt.hlines(0.99, 0, 80, linestyle=':')\n",
    "plt.hlines(1.01, 0, 80, linestyle=':')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.3C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.3C  Evolution of the government deficit and of the government debt, \n",
    "    relative to the baseline solution, following an increase in the rate of growth\n",
    "    of real pure government expenditures for only one year'''\n",
    "\n",
    "psbrdata = list()\n",
    "gdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = grg_one.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    psbrdata.append(s['PSBR']/base['PSBR'])\n",
    "    gdata.append(s['GD']/base['GD'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.965, 1.05)\n",
    "\n",
    "axes.plot(psbrdata, linestyle='-', color='b')\n",
    "axes.plot(gdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(12, 1.03, 'Government deficit')\n",
    "plt.text(40, 1.0, 'Government debt')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.3D  Evolution of the bank liquidity ratio and of the loan to inventories\n",
    "    ratio of firms, relative to the baseline solution, following an increase in the rate\n",
    "    of growth of real pure government expenditures for only one year'''\n",
    "\n",
    "blrdata = list()\n",
    "lidata = list()\n",
    "for i in range(5, 80):\n",
    "    s = grg_one.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    blrdata.append(s['BLR']/base['BLR'])\n",
    "    lidata.append((s['Lfd']/s['IN'])/(base['Lfd']/base['IN']))\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.5, 1.5)\n",
    "\n",
    "axes.plot(blrdata, linestyle='-', color='b')\n",
    "axes.plot(lidata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 1.2, 'Bank liquidity ratio')\n",
    "plt.text(39, 0.92, 'Loans to inventories ratio of firms')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, Decrease in the income tax rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = create_growth_model()\n",
    "theta.set_values(growth_parameters)\n",
    "theta.set_values(growth_exogenous)\n",
    "theta.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    theta.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "theta.set_values({'theta': 0.21844})\n",
    "\n",
    "for _ in range(89):\n",
    "    theta.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.3E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7fTd70veQWD2Rjg07AvD2/LfZm7GXvRl7SU1PZW/GXg5vfjgnH3oy+zL2ccv/bmFPxh5S01Nzzr+0x6X8oc8f+G3Xb3R5rgs79+0k02XmXPOJwU9w5zF38suWX+j0rG8arWJVSKyeSIOEBjxy4iNc0O0C1mxfw2PTHqN+jfo0SGiQsxzZ8kia12lOemY6GVkZJMQnROW1q2QKrFrSiJAVVGp6Kj1H98Qw5t4wlxpVawDwl6//wv1T7mfGtTM4ouURUc6lyIHW7VjHVR9fxZcrvqRNYhseGvgQl/a8tNx+UVc2zjlSM1LZuW8nO9N2Uq9GPRrVbMTW1K18sOgDtu/bztbUoKZkbwrX9r6WQe0HMXP9TE554xS27d22X9Dx/gXvc06Xc/h82ecMeWMINarWyAks6ifU5x8n/4M+LfowL3keHy7+MKevR/Zjr6a9qFWtljrBFk+BL1QkmickBq3ZvgbnHKNPH50TMADc1u82pq2dtl87qUi0pWems2b7Gjo06ECDhAZs3L2Rf5z8D67vez3Vq2pmxvLEzKgZX5Oa8TVpStOc7fUT6nPN4dcUeN4RLY9g892bcc6xM20nKakppKSm0K5eOwAObXAoj574KCmpKWxN3UrKXr8/uwPr7N9m88CUBw5I9+frfiapWRKjZ43mzol37hdwNEhowAunvUCz2s2YsX4GP/76Iw1rNsyp5WiY0JDWia3VlBJCNQ0VWHpmekR6hEvlkeWyqGJV+HLFlzz09UM0qtlov+XszmfTvn57Nu3exKLNi3K+HGpUrUFaZhptE9uSEJ/Ayq0rmbF+Bnsz9tKkVhNaJ7amdd3WJNZIzLlW8q5kPlv2GZ8u+5TPl31O/YT6rLhlBWamX4VSIhlZGTl9PbL7fvRv05/a1Wrz7Zpv+XDxh37f3q0+8EhNYdLlk2hcqzH3T76fv0z9ywFpbvvTNhJrJPLIN4/w5rw3aVizIY1qNqJhgn98+ISHqWJVWLBxATvTdub8rSRWTyzPn2HVNFQWzjle/PFFLu91OTXjaxZ43JY9W3h7/tvceMSN5fmDLQcpJTWFb1Z/w8QVE/li+RfcfezdXHv4tTm35S7dspTv133P5j2bycjKoEeTHrSv356vV3/N+e+ef0B631/zPf1a9WPyqslcM/7AX5XZdyk8OOVBRn49EoDmtZtzXtfzOLXjqTgchukzKSVStUrVnC/tvI5tcyzHtjm2wHPvHXAvN/S9IaeGY0vqFrbs2ZLTkbZlnZZ0atiJLalbWLJ5CVtSt7A3Yy+PnPgIAI9Oe5Q35r2xX14ObXAoi25aBMBT3z/F0i1LaVyzcU4eW9VtxfHtjgcgLTON+CrxMf/ZV9BQwfx77r+54b83UDO+Jpf3urzA495Z8A7D/zecQxscysmHnlyGOZRo2Zexj5TUFJrXac6+jH30HN2TpVuWAlAzviaD2g2iZR0/aGubxDY5t/EBOVXG1eN8U8GAtgP48rIvSc1IZU+67xhXLa4aHep3AGBo56H0a9WP6nHVSd6dzNrta1mzfQ3t67fPOf8vg/7CaR1PI6lZUsz/o5SKr1pcNZrXaU7zOs3z3X9F0hVckXTFfttCa+rvG3Afl/S4hM17NucsoZ/reRvn8ekvn7J5z+ac5uHuTboz74Z5AAx6fRA/b/h5v5q9I1seycMnPAz4MUDqVK8T0TKXhJonKpiT/3Mya7evZf6N8wtth0vLTKPTM51oXKsxM66doX/aFdSutF18vPhj3l7wNl8s/4KTDjmJ//7+vwDc9N+baJ3YmqNbHe2/4NV3QKTUZbkstqZuZUvqFtIy03LGyHj5p5dZvHkxW1K3sHnPZjbt3kTXxl159axX2Zexj47PdOSoVkdx/4D76dG0R2lnU3dPVBat/96aQe0GMfbssUUe+9rPr3H1+Kv56MKPOKvzWWWQOylLf570Z/4x/R+kZqTSqm4rzutyHoM7DObUjppUViQasrIgM3P/JXtb6GPeZXf6bt5e+zjPzvonO/bt4Nwu53L/8feX5ng76tNQGezYt4N1O9bRtXHXog8GLut1GfdNvo+xc8cqaKgAnHOMWzCOc7qcQ7W4arRJbMNVSVdxcY+LOab1MeoBLhWSc5CeDnv3Qmqqfyxs2bfvwMfsJS0t9zHvkp6+//OMDP+YvWRk5C6ZmQeuZ2YWXZaC1aJatYfo1ud24vr/g08X/4P3F73P9KtnclTrvpF6KcOioKECWZ6yHMPCDhqqVqnKhd0uZMOuIsfVkhi3dvtarhl/DRNXTOSVM1/h6t5Xc33f66OdLRH27YOdO3OXXbtyH3fv3n/Zs8cvqal+CX2evWQHB6HPD7bC3AyqV4dq1XIfs5/Hx+eux8dDzZq5z6tW9Y+hz+Pi/PPsJS6u6KVKlQMfQ5esLFi4EGbOrM+Pox8kNf026PEWJ47qw7i34bTTIvJWhfdaqXmiYklNT6WKVVH7dCXhnOO12a9x++e3k5mVyajfjeK6Ptepj4pEjHP+Cz4lBbZs8Y8pKbB1q19Cn2/fDtu27f+Ylhb+tapX91/KCQkHPiYkQI0aRT9mL9nr1avnbsvvefXq/su9vPzJZGXBkiUwc6ZfbrkFOnaM+GXUp0EKtyttF7Wr1Y52NqSY/vj5H/n79L9zfNvjefWsV3PmUBAJ5Zz/1b5t24FL3i//0MfsICE9veC0q1eHBg2gXj2/JCbmPiYmQt26UKfOgUvt2lCrll9q1vRLVdV9xwr1aagMRk4ZSWL1RG4/+vZinXfnF3fyzoJ3WH3bav1CLQd2p+1mX+Y+GiQ04PJel9OuXjuGHzlcfRYquH37/Jf4li2webNftm498Jd93mXHDr8U1aZeu7b/8m/QAOrXh86doWFDvzRokPsYutSv73/RS+WhoKECGTtnLEe1OqrY53Vr3I21O9Yy+7fZ9G7euxRyJpGQnpnOyz+9zENTH+KMTmfw0hkvkdQsiaRmSdHOmhyk3bth+XJYsQLWrfPL+vW5y4YNvh9AQeLi9v91n5gI7dvn/tLPfsyuDci71K/v2+NFiqKgoYLYnbabVdtWcVXSVcU+97ROp2EYnyz9REFDDMpyWby74F3unXwvy1KW0b9Nf67odUXRJ0pMycyElSthwQJYtAh++QWWLfOPG/L0Ra5aFVq0gFatoFcvGDIEGjeGRo380rChf8xuFqhZs/y0yUv5pqChgliyZQkOF/adE6Ga1GpCv1b9GL9kPPcff38p5E4Oxp8m/olR34+iR5MeTLh4Aqd2PFXNSDEsM9PXGCxc6AOE7MfFi31v/2zNmsGhh8LJJ/vHQw+FQw6BNm18gFBFrU0SgxQ0VBALNy0EoEvjLiU6/8zDzuSeSffw685faVGnRSSzFhEbd29kbvJcFm9enLNs3L2Rzy79LCbzGwnZE47dfezdJDVL4qLuF2l66BiRmembEFat8rUHK1fC0qU+QFiyxPc/yNa6NXTrBiec4B+7dvVL3bpRy75IiSloqCD2pO+hee3mHNrg0BKdf0G3C2iY0JBa8bUinLPIeOaHZ3j4Gz8Ge93qdenSqAtHtzqa5rX9OPFTV0/liBZHkBBf/ntlZWZl8sCUB/hmzTd8edmXNK7VmEt6XhLtbJVrzvkOhDt35o4FEDomQOhgPdmPe/fmdjTMvsNg61bflLB2rT8umxm0beuDgpNPzg0MOndWcCAVi265lJg1f+N8tuzZwvHtjmfplqWs37Gezo0606x2s/2q5zfv2Uyrp1rRsGZD7ul/D384/A/ldpyK5F3J/P6D3/PVyq+4pvc1PHvqs9SoWiPa2SpX1q+HOXN8v4HsZeFC/+VfEomJvqNg9tKkie9k2L49tGvnH9u08QP+iFQQGqdBirZp9yY+WPQBl/a8lFrVolvj8MuWXzjuteOoXa02i25aRHxc4V27p6yawgNTHmDq6qm0SWzD60NfZ2C7gWWT2Qj5bu13nP/u+aSkpvD8qc9zVe/id2qtrNavh3ffhXHjYPr03O2NG0OXLv5X/2GH+S/90EGDatb0A/xUq5Y7ol/2Y/XqvpYgTi1CUvkoaKjI9mXs46iXj+LPx/2ZC7pdUOJ0vlr5FSeOPZEPL/yQoZ2HRi6DxbR622qOe+04UjNSmXrl1LD7aTjn+GrlV9z46Y2s3LqSFbeuoFXdVqWc28jIyMqgxws9SM9M5/0L3qdXs17RzlLM27QpN1D45hvfBNGrF1x4IRx3nA8WGjaMdi5FyiUN7lSRLd2ylDnJc8jMOqgZUTiuzXEkVk/kkyWfRC1o+HXnr5w49kR2pu1k8hWTi9Wx08w48ZAT+WnYT3y18qucgCElNYUGCQ1KK8sRUbVKVf77+/9Sp1odGtdqHO3sxLQlS+DJJ2HsWN/hsGtXGDnSBwuHHRbt3IlUbLqppwLIvnOiJLdbhoqPi+eUjqcw4ZcJZLmsSGSt2J6f+TzJu5P57JLPSjxoUa1qtTjjsDMA+GL5F7T7RzvGzB5DLNaqfbT4I27+9GaccxxS/xAFDIX47js4+2xfgzB2LFx5Jcyd629nvP9+BQwiZUFBQwWwaPMiqlgVOjXsdNBpndHpDDbu3siM9TMikLPie2jQQ8y4dkaJRrbMT5dGXTi8+eFc9fFVnPvOuSzdsjQi6UbCOwve4bx3zmPWhlnsSd8T7ezEpPR0eP996N8fjj0Wpk6Fe++FNWtg9Gjo0SPaORSpXBQ0VAALNy3kkPqHROR2w1MOPYX4KvHMXD8zAjkL34SlE1iWsowqVqXEY03kp3ViayZdPolHT3yUL5Z/QdfnujLiyxERS7+k/jP3P1z8/sUc0/oYvrj0i6h3PI01q1f74KBNGzjvPN/R8emnfbDw0EP+DgYRKXvq01ABHNrg0Ih1+KufUJ8Nd2ygYc2y60G2afcmLv3gUvq36c+E30+IePpxVeIY0X8EV/e+mke/eZT29doDfvCkzXs207xO84hfszD/+vFfXDfhOga1H8T4i8YrYAjs2wdffOFrEP73P7/ttNPg+uv9MMq6i0Ek+nT3hETdsE+G8drs15h7/dyI1jIU5eWfXuaW/93CrUfdyoj+I0iskVhq19q2dxtVrAp1q9flkyWf8Ob8N3n1zFcrxGBUJbF7t++P8NNPucv8+X7ApObN4dpr/dKmTbRzKlIp6ZbLiirLZWFYROci2Juxl/PfPZ8T25/Ibf1ui1i6+flpw0/0fakvt/W7jadOfqpUr5XX8pTlPDDlAd6c9yYNEhpw34D7uOGIG6gWF7lRerambuUf0//BP3/4JzcfeTN/OeEvEUu7LDnnR0JcuBDS0vw0ynXq5C61avn+B7t3w65d/nH3bj8l89q1vrlh9WrfvLB6Nfz6q08T/MRLffrA4YfDMcf4ERU146JIVCloqKg+XPQh14y/hm+v/jaiv9KPH3M8v+78laXDl5ba5EjOOY577TiWblnK0puXUq9GvVK5TlF+3vAzd395N1+u+JIzOp3B+IvHlyidLJdFFfPdhJ7+4WkmrpjI1NVT2bFvB2d3Ppv7j7+/XExj7Rz8/LO/W2H+fH93woIFfgjlkoqP93MwtG3raw/at4ekJB8otGqlGRpFYozGaaioFm5ayNa9W2md2Dqi6V7b+1ou/+hypq6eyvHtjo9o2tnSMtPo07wP1/S+JmoBA0Dv5r2ZeNlEvlj+Rc6Qzdv3buc/c/9Dl8Zd6NyoM81rN98veErLTGNe8jxm/TqLmb/O5McNP7J973ZW3LoCgOnrprNy60rO6XIOt/e7nZ5Ne0albOFyDn780Q+W9N57fpZG8NMud+8OF1zg51Xo1s3XKuzc6Zddu3Ifq1Xz+2rX9o+1avlaiJYt/YyO6pMgUv6ppqGcu+SDS/h2zbesum1VRNPdk76H5k8258zDzuTfZ/87ommXB49+8yh//urPOet1q9elc6POvHnOm3Ro0IFb/3crT894GoCGCQ3p06IPSU2TeOTER4irEodzLuanr86uUXj7bR8srFrlh1A+6SR/x8KQIdCihWoBRCoh1TRUVAs3LSyVzoM142tySY9LeG32azw95GnqJ9SPaPqjZ42mS6MupVaLcbBG9B/B5b0u328q7sVbFueMLHl5r8vp36Y/fVv0pV29dgcECLEcMKxcCW++CW+84SdzqloVBg/2AySddRY0iO3BM0UkiooMGszsVeB0YKNzrns++w34J3AqsAe40jn3k5m1BsYCzYAs4CXn3D+DcxoA44B2wCrgAufcQbSYVk6ZWZks3ryYE9qdUCrpX9/3elrUaRHxL8DlKcu59bNbuaDbBTEbNJgZLeu2pGXdlpx4yIkH7O/Tog99WvSJQs5KZtcuHyT85z8wbZrfdtxx8OKLvlZBgYKIhCOcmoYxwLP4ACA/pwAdg+Uo4IXgMQO4Iwgg6gA/mtlE59xCYAQwyTn3mJmNCNb/dFAlqYT2Ze7jliNv4aRDTiqV9Hs27VkqbfF//OKPxFeJ5/GTHo942rK/vXt9YPDXv/oJnrp2hUcegd//3ndKFBEpjiKDBufcVDNrV8ghZwFjne8cMd3M6plZc+fcBmBDkMZOM1sEtAQWBucMDM5/HZiCgoZiqxlfk8cHl+4Xb1pmGh8v/pjuTbpHpBnk018+ZfyS8Tx24mO0qNMiAjmU/GRk+PkZRo70tzwOHAgPP+xvaYzhlhMRiXGRGEa6JbA2ZH1dsC1HEHT0Bn4INjUNggqCRw0KWwIbd29kd9ruUr3GnvQ9XPHRFTwz45mDTmtfxj5u/exWDmt4GLcffXsEcid5Oec7NXbvDtdc4+9amDgRvvrKz92ggEFEDkYkgob8/g3l3JJhZrWB94HbnHM7ip242TAzm2VmszZt2nQQ2ax47p54N4c9W7pT+9WrUY/zu53PG/PeOOhJleKqxHHTETfx3KnPRXQAJfEWLoRBg/ztkVWrwocfwg8/+LshKkKwEBcXR1JSEt27d+eMM85g27ZtJUpnzJgxDB8+/KDzs23bNp5//vmDSuOjjz5i4cKFB50XkUgK/d4NlmHZ+yIRNKwDQgcJaAX8Glw4Hh8wvOGc+yDkmGQzax4c0xzYWFDizrmXnHN9nXN9GzfWtMGhFm5aSOdGnUv9Otf2vpYd+3bw3sL3DiqdqlWqclu/2/LtWCglt2cP3HMP9Orlh2Z+8UWYMweGDq0YwUK2hIQEZs+ezfz582nQoAHPPfdcVPOjoEEqqtDv3WB5KXtfJIKG8cDl5vUDtjvnNgR3VbwCLHLO5R0feDxwRfD8CuDjCOSjUnHOsWjzIro27lrq1+rfpj+dGnbi5Z9eLnEaN/33Jt6a91YEcyUAn3ziOzc+9hhceiksWQLDhlX8gZSOPvpo1q9fD8Dy5csZMmQIffr04bjjjmPx4sUAfPLJJxx11FH07t2bk046ieTk5ELTTElJYejQofTs2ZN+/foxd+5cAEaOHMmoUaNyjuvevTurVq1ixIgRLF++nKSkJO666y6mTJnCgAEDOPvss+natSvXX389WVlZANSuXTvn/Pfee48rr7yS7777jvHjx3PXXXeRlJTE8uXLI/oaiZSGIoMGM3sL+B44zMzWmdk1Zna9mV0fHPIpsAJYBvwLuDHYfixwGXCCmc0OllODfY8Bg83sF2BwsC7FsG7HOnal7SqToMHMuLb3tSTvTmbnvp3FPv/LFV/y/KznWbF1RSnkrnLasgXOOQfOPNOPwDh1Krz2GlSGyrjMzEwmTZrEmWeeCcCwYcN45pln+PHHHxk1ahQ33uj/BfXv35/p06fz888/c9FFF/G3v/2t0HQfeOABevfuzdy5c3nkkUe4/PLLCz3+scceo0OHDsyePZsnnngCgBkzZvDkk08yb948li9fzgcffFDg+ccccwxnnnkmTzzxBLNnz6ZDhw7FeRlEoiKcuycuLmK/A27KZ/s0ChhVyjm3BVAd9UFYuMlXaZZF0ABwa79bufOYO4s9ZkNaZhrDPx1Oh/oduOOYO0opd5XLTz/Buef6SZ8eewz++MfKMcFTamoqSUlJrFq1ij59+jB48GB27drFd999x/nnn59z3L59+wBYt24dF154IRs2bCAtLY327dsXmv60adN4//33ATjhhBPYsmUL27dvL1YejzzySA455BAALr74YqZNm8Z5551XrDREYlkkmickCjo36swzpzxTZnMaVIurhpmRmp7Kvox9YZ/3z+n/ZMmWJTx9ytM58zpIyY0Z4++CyMyEb76BP/2pcgQMkNunYfXq1aSlpfHcc8+RlZVFvXr1mD17ds6yaNEiAG6++WaGDx/OvHnzePHFF9m7d2+h6ec3pL6ZUbVq1ZxmBqDQdAoaGTR0e1H5EIllChrKqbb12jL8yOFlOtHT8pTltHiqBWePOzusOyk27d7Eg18/yBmdzuDUjqcWebwUbN8+uP56uOoqP9bCjz/CkUdGO1fRkZiYyNNPP82oUaNISEigffv2vPvuu4D/4p8zZw4A27dvp2VLf/f366+/XmS6AwYM4I033gBgypQpNGrUiLp169KuXTt++uknAH766SdWrlwJQJ06ddi5c//muhkzZrBy5UqysrIYN24c/fv3B6Bp06YsWrSIrKwsPvzww5zj80tDJJYpaCinpq2Zxuptq8v0mh0adOCJwU/w2bLPGPKfIezYV/gdtI1qNuLNc9/kH0P+UTYZrKDWrYPjj/d3Rdx9N3z+eeXou1CY3r1706tXL95++23eeOMNXnnlFXr16kW3bt34+GPfr3rkyJGcf/75HHfccTRq1KjINEeOHMmsWbPo2bMnI0aMyAk0zj33XFJSUkhKSuKFF16gU6dOADRs2JBjjz2W7t27c9dddwG+g+aIESPo3r077du35+yzzwZ8/4fTTz+dE044gebNm+dc86KLLuKJJ56gd+/e6ggp5YJmuSynmo5qypmdzuRfZ/6rzK89bv44Lv3wUno17cVnl35Go5q5/5Cdc7z808tUi6vGFUlXFJKKhGPJEj/2ws6dvmni3HOjnSMpyJQpUxg1ahQTJkyIdlZEDlaBnddU01AOpaSmsHH3xjIZoyE/F3a/kI8u/IgFmxYwcsrInO2bdm9i6LihDJswjA8Xf5hvG7GE75dffMCQkQHff6+AQUSiT1Njl0NLNi8B4LBGpTsaZGFO63QaX1/5Nd2b+IlPP/3lU67++Gq27t3KU797ilv73RrT00PHumXLfMCQng6TJ/thoSW2DRw4kIEDB0Y7GyKlSkFDObRkiw8aolXTkO3Ilr4n3ra927jkg0toXbc1Ey+bSI+mPaKar/JuxQofMOzd6+eMUMAgIrFCQUM5tHjzYqrFVaNdvXbRzgoAW/Zs4cGBDzKszzDdVnmQVq3yAcOePTBpEvQsmztqRUTCoo6Q5dDqbatZsmUJv+vwu2hnRSJo9Wp/l8SOHT5g6N072jkSkUqqwLZl1TSUQ23rtaVtvbbRzoZE0IwZcPbZvobhyy8VMIhIbNLdE+VMemY6z898nmUpy6KdFYmQ116D446D6tXh66+hT59o50hEJH8KGsqZ5VuXc9OnN/H92u+jnRU5SOnpcMstcPXVPmiYOVN9GEQktiloKGcWb/bT/kbqzomNG/08BlK2Nm2CwYPhmWfgjjvgs8+gYcNo50pEpHAKGsqZSI3RkJEBf/0rtGwJF18M5ag/bLnmnL+Nsm9f+OEH+Pe/YdQoqKreRSJSDuhfVTmzeMtiWtRpQd3qdUucxi+/wOWXw/TpkJQE774L/fr5KZbLI+dg+XL/ZTxpkh96uWlTaNHCB0UtW/rn7dpBly5QrVrZ5zEzEz74AP72N5g1C9q0gWnT1H9BRMoXBQ3lzOLNizmsYclqGZyDF16Au+7yne7eegsuvBDOO89PhNS3LwwYEOEMl5L0dB/sTJzog4U1a/z2Fi18ILR5MyxYAL/9tn/zS9WqPnDo2dMvvXr5L+4w5jMqkT17/JwRTz7pB2069FAYPdoHbQkJpXNNEZHSonEaypkd+3awbe822iS2KdZ569f7DndffAEnnwyvvOJ/gYMfF6BvXz8p0k8/QcgkfDFp0ya44AKYMsX3Axg0CE44AU48ETp2hNDRqzMzfb+NX3/1NSxz5/plzhw/e2S2zp19Z8TspW3b/dMpjqws+O47H9S8+aYPYI46ygdmZ50FcXEHVXwRkdJW4H8/BQ2VxOGH+2r7J5+E66478Atx/nz/xdanj6/ij4+PTj6L8vPPMHSoDwRGj4bLLoMqJeyZk5LiA4jp0+Gbb+Dbb2H7dr+vVStf65K9dO5ceBCRHSi88w68/74PUqpXh9NOg9tug/79Sx6EiIiUMQUNFcH8jfN5c96b3HzkzTSvE351wIoV0KED/P3v/gusIG++CZdc4vs2PPnkwec30t58E6691jclfPhh5PsDZGb64Ombb2DqVP/4229+X+PGPng45hi/vmmTD1yyH1eu9I/Vq8Mpp8D558MZZ0CdOpHNo4hIGdCIkBXBt2u+5dFpj3Jdn+uKdd5//+sfzzij8ON+/3s/BfNTT/mOkeefX8KMRlhGBtxzj7/LYMAAX+3fpEnkrxMX5/s49OoFw4f7PiDLlvkAInt5/31/bNWqPg+NG/vHIUN8s48CBRGpyBQ0lCNLtiwhoWoCrRNbF+u8CRN89XqHDkUf++ST8OOPvv9DUpLvIxBNqam+OeKLL+Cmm3xtSVk1nZj58nfsCNdc47dt3OjvvkhMVHODiFQ+GqehHFm8eTGHNTqMKhb+27Zzp+8wePrp4R1frZpvlzfzv+6jyTm4/nofMLz0Ejz7bPT7WjRpAvXqKWAQkcpJQUM5snjz4mKPBDlxIqSlhR80gO8EeMcdvio+ml1IXngBxo6FkSPhD3+IXj5ERMRT0FBOpGems23vNjo3LF7QMGGC/2V87LHFu97tt/vbGe+9t3jnRcp338Gtt/pg5777opMHERHZn/o0lBPxcfFsuXsL6VnpYZ+TleU7QZ5ySvGHKa5b1zdP3Hmnn3nx+OOLmeGDsGGDH3CqbVs/zHJJb6kUEZHI0r/jcsTMqBYX/hjIs2b5jnvFaZoIdeONfoTFP/+57OamSEvzd21s3+5vq6xXr2yuKyIiRVPQUE689vNrXPHRFWS5rLDP+eQT/yt9yJCSXTMhAe6/3zcVfPppydIorjvv9IMsvfIK9OhRNtcUEZHwKGgoJ75c+SVfr/q6WHdOTJjg+zI0aFDy6159NRxyCPzf//nmjtL073/7qaL/+Ee46KLSvZaIiBSfgoZyYsnmJcW6c2LdOpg9u+RNE9ni4+Ghh/xcDe+8c3BpFWb+fD+89cCB8PjjpXcdEREpOQUN5YBzrtizW4Y7CmQ4Lr7YNxXcd5+fXTLSdu3y/RgSE+Htt4vfaVNERMqGgoZyYP3O9exO312smoYJE3yzQufi3aGZrypV4OGH/ZDKr79+8OmFcs53uFy61M8t0bRpZNMXEZHIKTJoMLNXzWyjmc0vYL+Z2dNmtszM5prZ4UWda2YjzWy9mc0OllMPvigVV0pqCt0ad6Nbk25hHb9nD3z5pW+aiNTIhWec4WfBfPBBP7RzpIwZ4/sy3H+/n+JaRERiVzg1DWOAwvrfnwJ0DJZhwAthnvt351xSsJRR3/zyqWfTnsy/cT4D2g4I6/ivvoK9ew++P0MoM9/XYN06uOWWyKQ5f76fT+KEE6I3iJSIiISvyKDBOTcVSCnkkLOAsc6bDtQzs+ZhniulYMIEqF3bzwgZSccf78dsePnlg2+m2L0bLrjADyL1xht+hkkREYltkejT0BJYG7K+LthWlOFBc8arZla/oIPMbJiZzTKzWZs2bTrYvJZLv3//99z035vCOtY5HzScfDJUrx75vDz4oG9GuOEGmDev5OncdBMsXuz7MTRrFrn8iYjIwQn93g2WYdn7IhE05NdqXtT4gS8AHYAkYAPwZEEHOudecs71dc71bdy4cYkzWZ59s+YbdqXvCuvYOXNg/frINk2EqlrVf9EnJsK558KOHcVP45VXfE3F/ff7pgkREYkdod+7wfJS9r5IBA3rgNYh662AX4vIULJzLtM5lwX8CzgyAvmokHbu28m6HevCvt3yk098/4NTTim9PDVrBuPGwYoVcO214Q8x7Rw88oifsfLEEzURlYhIeROJoGE8cHlwF0U/YLtzbkNhJ2T3eQicDeR7Z4bA0i1LAcK+3fKrr+Dww0v/1sUBA3wA8O678OyzRR+/e7cf5fH//s+P+zB+vPoxiIiUN+HccvkW8D1wmJmtM7NrzOx6M7s+OORTYAWwDF9rcGNh5wa7/mZm88xsLjAIuD1yRapYlqUsA6Bjg45FHpuRATNnwjHHlHauvDvv9Ldi3nEHTJ9e8HGrV0P//j7A+Nvf4D//gZo1yyaPIiISOUWOveecu7iI/Q7It5deQec65y4LK3dCg4QGnNbxNFrVbVXksfPn+1/0/fqVQcbwgz69/rqv2Tj1VN/kcMQRfunTx98Z8fXXfprr9PTcabpFRKR80oC9MW5wh8EM7jA4rGOzf+0ffXQpZiiP+vV9MPDggzBjBrz3nt9uBp06wfLl0KGDb47o1Kns8iUiIpGnoKECmT4dmjSBdu3K9rpdu/qOkQCbNsGsWX6ZOdPPsvnUU/5uCxERKd8UNMS4s8edzb6MfXx6SdGDZk6f7psmIjV0dEk0buybINQMISJS8WjCqhi3ZvsaLIwoICUFliwpu/4MIiJS+ShoiHHJu5JpWqvo+yd/+ME/lmV/BhERqVwUNMSwLJfFxt0bwwoapk/3dzP07VsGGRMRkUpJQUMM25q6lfSsdJrVLnpyhu+/hx49/ERVIiIipUFBQwxzOK7rcx2HNz+80OOysnzzhPoziIhIadLdEzGsUc1GjD59dJHHLV7sJ45SfwYRESlNqmmIYWmZaWRmZRZ5XPagTqppEBGR0qSgIYY9P/N5qj1cjZTUlEKP+/57PzJjx6KnpxARESkxBQ0xLHlXMnEWR70a9Qo9LntQpyp6N0VEpBTpayaG/bb7N5rUakIVK/ht2rEDFixQ04SIiJQ+BQ0xLHlXMk1rFz5Gw8yZ4JyCBhERKX0KGmJY8u7kIsdo+P57/3jkkWWQIRERqdR0y2UMu7LXldRPqF/oMdOn+1km69UrmzyJiEjlpaAhht181M2F7nfOBw1nnVVGGRIRkUpNzRMxKj0znfU71pORlVHgMcuXw5Yt6s8gIiJlQ0FDjPol5Rda/b0V7y54t8BjsvszKGgQEZGyoKAhRiXvSgYotCPk9OlQp47v0yAiIlLaFDTEqOTdPmgo7JbL6dP9XRNxcWWVKxERqcwUNMSo33b9BkDTWvkHDbt3w5w5apoQEZGyo6AhRiXvSia+SnyBt1z++CNkZipoEBGRsqNbLmPUaZ1Oo3md5gUOIf3DD/5RQYOIiJQVBQ0xqn+b/vRv07/A/fPmQatW0KhRGWZKREQqNTVPxKgFGxfk3EGRn4ULddeEiIiULQUNMerk/5zMiEkj8t2XlQWLFiloEBGRsqWgIQY559i4eyPNauU/RsPq1bBnj4IGEREpWwoaYtDWvVtJz0ovcIyGhQv9Y7duZZgpERGp9BQ0xKDsvgwFjdGQHTR06VJWORIREVHQEJOyB3YqaAjphQuheXOoX/is2SIiIhFVZNBgZq+a2UYzm1/AfjOzp81smZnNNbPDizrXzBqY2UQz+yV41NdfiC6NuzB26Fi6N+me7/4FC9SfQUREyl44NQ1jgCGF7D8F6Bgsw4AXwjh3BDDJOdcRmBSsS6BZ7WZc1usyGtdqfMA+53xNg/oziIhIWSsyaHDOTQVSCjnkLGCs86YD9cyseRHnngW8Hjx/HRhanExXdAs2LmD6uun57lu71s87oZoGEREpa5Ho09ASWBuyvi7YVpimzrkNAMFjk4IONLNhZjbLzGZt2rTpoDNbHjz5/ZOc+865+e7L7gSpoEFEREpD6PdusAzL3heJYaQtn20uAun6hJx7CXgJoG/fvhFLN5Yl704usBPkggX+UUGDiIiUhtDv3bwiUdOwDmgdst4K+LWIc5KzmzCCx40RyEeFkbwrudDbLZs2hYYNyzhTIiJS6UUiaBgPXB7cRdEP2J7d9FDEOVcEz68APo5APiqM5N3JhQ7spFoGERGJhnBuuXwL+B44zMzWmdk1Zna9mV0fHPIpsAJYBvwLuLGwc4NdjwGDzewXYHCwLvghpJN3Jec7hHT2nRMKGkREJBqK7NPgnLu4iP0OuKk45zrntgAnhpPBysbh+PzSz2lRp8UB+9avhx07FDSIiEh0RKIjpERQFavCoPaD8t2nOSdERCSaNIx0jFm3Yx3j5o9j295tB+zT7ZYiIhJNChpizLQ107jo/Yv4deeBN6AsXAiNGkHjAweKFBERKXUKGmJMYTNcas4JERGJJgUNMea3Xb9RtUpV6ifsP4eX5pwQEZFoU9AQY5J3J9OkVhOq2P5vzW+/wbZtqmkQEZHoUdAQYwoaQlqdIEVEJNp0y2WMeeG0F9i5b+cB2zXnhIiIRJuChhjTJrFNvtsXLoQGDfy8EyIiItGg5okY4pzjqe+f4ucNPx+wL3v4aMtvTlEREZEyoKAhhmzdu5U7vriDr1d/vd9253S7pYiIRJ+ChhhS0BgNGzdCSoqCBhERiS4FDTHkt12/ARwwLbbmnBARkVigoCGGJO/Ov6ZBt1uKiEgsUNAQQ3KaJ/KpaUhMhObNo5ErERERT0FDDLmu73WsuGUFDRIa7Lc9uxOk7pwQEZFoUtAQQ2pUrUH7+u0PGEJac06IiEgsUNAQQ17+6WXGzhm737ZNm/yi/gwiIhJtChpiyOhZo3l7/tv7bVu0yD8qaBARkWhT0BBDkncnH9AJMjto6NIlChkSEREJoaAhRjjn2Lh74wG3Wy5ZAgkJ0KpVlDImIiISUNAQI7bt3UZaZtoBQcPixdCpE1TROyUiIlGmr6IYsWnPJuDAMRqWLIHDDotGjkRERPanqbFjRKeGndj7f3v327ZvH6xaBZdeGp08iYiIhFLQEEOqV62+3/qyZZCVpZoGERGJDWqeiBHj5o/jj5//EedczrYlS/yjggYREYkFChpixGfLP+OdBe9gIWNFZwcNnTpFKVMiIiIhFDTEiLXb19Imsc1+25YsgRYtoE6dKGVKREQkhIKGGLFm+xpaJ7beb5vunBARkViioCEGOOdYs30Nbeq2CdmmoEFERGJLkUGDmb1qZhvNbH4B+83MnjazZWY218wOD9k3xMyWBPtGhGwfaWbrzWx2sJwameKUT9v2bqNejXr7NU9s3gxbtypoEBGR2BHOLZdjgGeBsQXsPwXoGCxHAS8AR5lZHPAcMBhYB8w0s/HOuYXBeX93zo06iLxXGPUT6vPbnb/pzgkREYlpRdY0OOemAimFHHIWMNZ504F6ZtYcOBJY5pxb4ZxLA94OjpUChN45sXixf1TQICIisSISfRpaAmtD1tcF2wranm140JzxqpnVLyhxMxtmZrPMbNamTZsikN3YM27+OM4Zdw6p6ak525YsgerVoW3bKGZMREQqndDv3WAZlr0vEkGD5bPNFbIdfBNGByAJ2AA8WVDizrmXnHN9nXN9GzdufJBZjU0z1s/gf8v+R42qNXK2LVkChx4KcXFRzJiIiFQ6od+7wfJS9r5IBA3rgNB7BVsBvxayHedcsnMu0zmXBfwL35RRaa3ZsYY2iW0OGNhJTRMiIhJLIhE0jAcuD+6i6Adsd85tAGYCHc2svZlVAy4KjiXo85DtbCDfOzMqi7wDO6Wnw4oVChpERCS2FHn3hJm9BQwEGpnZOuABIB7AOTca+BQ4FVgG7AGuCvZlmNlw4HMgDnjVObcgSPZvZpaEb65YBVwXsRKVQ2u2r+GUQ0/JWV+xAjIyoHPnKGZKREQkjyKDBufcxUXsd8BNBez7FB9U5N1+WbgZrOiyXBatE1vTrUm3nG263VJERGKRpsaOsipWhR+u/WG/bQoaREQkFmkY6Ri0ZAk0aQL16kU7JyIiIrkUNETZB4s+4Ih/HcGGnRtytunOCRERiUUKGqJs8ebFzPp1Fok1EnO2KWgQEZFYpKAhytZsX0Ojmo2oGV8TgJQU2LRJQYOIiMQeBQ1RtnbH/mM0qBOkiIjEKgUNUbZm+xoFDSIiUi7olsso692sN72a9spZX7IEqlaF9u2jmCkREZF8KGiIsrFnj91vfckS6NAB4uOjlCEREZECqHkixujOCRERiVUKGqLof7/8j2ajmjEveR4AmZmwbJmCBhERiU0KGqJo9fbVJO9OpkFCAwBWrYK0NAUNIiISmxQ0RNGa7WuoWqUqzWo3A3LvnNDsliIiEosUNETR2h1raVW3FXFV4gDdbikiIrFNQUMU5TdGQ4MG0KhRFDMlIiJSAN1yGUUntT+JOtXr5KwvXqxaBhERiV0KGqLovuPv2299yRIYMiRKmRERESmCmieiJCMrg7TMtJz1HTvgt99U0yAiIrFLQUOUzPp1FtUfrs4Xy78A4Lvv/Pbu3aOYKRERkUIoaIiSNdvXANC8dnMAXn8d6teHwYOjmSsREZGCKWiIkuygoXVia7Ztg48+gt//HqpXj2q2RERECqSgIUrWbl9LnWp1SKyeyDvvwN69cMUV0c6ViIhIwRQ0RMmaHX6MBjPj9deha1fo2zfauRIRESmYbrmMknO7nMvOfTtZutR3gnz8cTCLdq5EREQKpqAhSi7teSkA994LVarApZdGOUMiIiJFUPNEFGRkZbBy60r2pqXz+utw8snQokW0cyUiIlI4BQ1RsGLrCg55+hAeeO9t1q1TB0gRESkfFDREQfbtlj9PbkNiIpx1VpQzJCIiEgYFDVGwdvtaAKZOaM1FF0GNGlHOkIiISBgUNETBmu1rMIx9m1py5ZXRzo2IiEh4dPdEFKzdsZb4fc1of2h1jjoq2rkREREJT5E1DWb2qpltNLP5Bew3M3vazJaZ2VwzOzxk3xAzWxLsGxGyvYGZTTSzX4LH+pEpTvkwqOGlpP33ca64QmMziIhI+RFO88QYYEgh+08BOgbLMOAFADOLA54L9ncFLjazrsE5I4BJzrmOwKRgvdJY+sVAbN5lXHZZtHMiIiISviKbJ5xzU82sXSGHnAWMdc45YLqZ1TOz5kA7YJlzbgWAmb0dHLsweBwYnP86MAX4U8mKUHJLlsDZ943j1xYvHLCv24L3iE9vxG/NxvBbszEH7O8x91PismqyvsXzbGryzgH7k2ZPAWBt61FsaTghd4c59i4YzIAh19OqVaNIFUVERKTURaIjZEtgbcj6umBbQdsBmjrnNgAEj00KStzMhpnZLDObtWnTpghkN8qckdB1MhfcsDTaORERETlA6PdusAzL2ecrCIpMoB0wwTnXPZ99/wUedc5NC9YnAXcDhwAnO+euDbZfBhzpnLvZzLY55+qFpLHVOVdkv4a+ffu6WbNmFZlfERERKbECe9tFoqZhHdA6ZL0V8Gsh2wGSgyYMgseNEciHiIiIlKJIBA3jgcuDuyj6AduDJoeZQEcza29m1YCLgmOzz8kePPkK4OMI5ENERERKUZEdIc3sLXynxUZmtg54AIgHcM6NBj4FTgWWAXuAq4J9GWY2HPgciANedc4tCJJ9DHjHzK4B1gDnR7BMIiIiUgrC6tMQK9SnQUREpNSVap8GERERqQQUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWMIKGsxsiJktMbNlZjYin/31zexDM5trZjPMrHvIvlvNbL6ZLTCz20K2jzSz9WY2O1hOjUiJREREpFQUGTSYWRzwHHAK0BW42My65jnsz8Bs51xP4HLgn8G53YE/AEcCvYDTzaxjyHl/d84lBcunB10aERERKTXh1DQcCSxzzq1wzqUBbwNn5TmmKzAJwDm3GGhnZk2BLsB059we51wG8DVwdsRyLyIiImUmnKChJbA2ZH1dsC3UHOAcADM7EmgLtALmAwPMrKGZ1QROBVqHnDc8aNJ41czql7AMIiIiUgbCCRosn20uz/pjQH0zmw3cDPwMZDjnFgGPAxOBz/DBRUZwzgtAByAJ2AA8me/FzYaZ2Swzm7Vp06YwsisiIiIlFfq9GyzDcvY5l/f7/4CTjwZGOudODtbvAXDOPVrA8QasBHo653bk2fcIsM4593ye7e2ACc657hSib9++btasWYXmV0RERA5KfpUFQHg1DTOBjmbW3syqARcB4/dL3axesA/gWmBqdsBgZk2Cxzb4Joy3gvXmIUmcjW/KEBERkRhVtagDnHMZZjYc+ByIA151zi0ws+uD/aPxHR7HmlkmsBC4JiSJ982sIZAO3OSc2xps/5uZJeGbOlYB10WmSCIiIlIaimyeiCVqnhARESl1B9U8ISIiIqKgQURERMKjoEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwqKgQURERMKioEFERETCoqBBREREwhJW0GBmQ8xsiZktM7MR+eyvb2YfmtlcM5thZt1D9t1qZvPNbIGZ3RayvYGZTTSzX4LH+hEpkYiIiJSKIoMGM4sDngNOAboCF5tZ1zyH/RmY7ZzrCVwO/DM4tzvwB+BIoBdwupl1DM4ZAUxyznUEJgXrIiIiEqPCqWk4EljmnFvhnEsD3gbOynNMV/wXP865xUA7M2sKdAGmO+f2OOcygK+Bs4NzzgJeD56/Dgw9mIKIiIhI6aoaxjEtgbUh6+uAo/IcMwc4B5hmZkcCbYFWwHzgr2bWEEgFTgVmBec0dc5tAHDObTCzJvld3MyGAcOC1V1mtiSMPBdXI2BzKaQba1TOiqeylFXlrHgqS1nLYznnA3tD1l9yzr0E4QUNls82l2f9MeCfZjYbmAf8DGQ45xaZ2ePARGAXPrjIKE7Og4y+VJxzisvMZjnn+pbmNWKBylnxVJayqpwVT2Upa0UrZzhBwzqgdch6K+DX0AOcczuAqwDMzICVwYJz7hXglWDfI0F6AMlm1jyoZWgObDyIcoiIiEgpC6dPw0ygo5m1N7NqwEXA+NADzKxesA/gWmBqEEiQ3exgZm3wTRhvBceNB64Inl8BfHwwBREREZHSVWRNg3Muw8yGA58DccCrzrkFZnZ9sH80vsPjWDPLBBYC14Qk8X7QpyEduMk5tzXY/hjwjpldA6wBzo9UoUqgVJs/YojKWfFUlrKqnBVPZSlrhSqnOZe3e4KIiIjIgTQipIiIiIRFQYOIiIiEpVIHDUUNj12emdmrZrbRzOaHbKtwQ3ebWWszm2xmi4Khym8NtleosppZjWCI9jlBOR8MtleocmYzszgz+9nMJgTrFbWcq8xsnpnNNrNZwbYKV9ags/x7ZrY4+Fs9uoKW87DgvcxedpjZbRWprJU2aAhzeOzybAwwJM+2ijh0dwZwh3OuC9APuCl4HytaWfcBJzjnegFJwBAz60fFK2e2W4FFIesVtZwAg5xzSSH38lfEsv4T+Mw51xk/pcAiKmA5nXNLgvcyCegD7AE+pCKV1TlXKRfgaODzkPV7gHuina8Il7EdMD9kfQnQPHjeHFgS7TyWQpk/BgZX5LICNYGf8COzVrhy4seCmQScAEwItlW4cgZlWQU0yrOtQpUVqIsft8cqcjnzKffvgG8rWlkrbU0D+Q+P3TJKeSkr+w3dDeQ7dHd5ZWbtgN7AD1TAsgZV9rPxA6FNdM5VyHIC/wDuBrJCtlXEcoIfXfcLM/sxGDIfKl5ZDwE2Aa8FTU4vm1ktKl4587qI3HGJKkxZK3PQEM7w2FJOmFlt4H3gNhcMLFbROOcyna/2bAUcaSFT0FcUZnY6sNE592O081JGjnXOHY5vJr3JzAZEO0OloCpwOPCCc643sJvyXD0fhmCwwzOBd6Odl0irzEFDkcNjV0DJwZDdVKShu80sHh8wvOGc+yDYXCHLCuCc2wZMwfdZqWjlPBY408xW4WfUPcHM/kPFKycAzrlfg8eN+LbvI6l4ZV0HrAtqxgDewwcRFa2coU4BfnLOJQfrFaaslTloKHJ47Aqowg3dHcx18gqwyDn3VMiuClVWM2tsZvWC5wnAScBiKlg5nXP3OOdaOefa4f8mv3LOXUoFKyeAmdUyszrZz/Ft4POpYGV1zv0GrDWzw4JNJ+JHDq5Q5czjYnKbJqAClbVSjwhpZqfi20+zh8f+a3RzFDlm9hYwED8tazLwAPAR8A7QhmDobudcSpSyGBFm1h/4Bj+7anYb+J/x/RoqTFnNrCfwOv6zWgV4xzn3UDBEe4UpZygzGwjc6Zw7vSKW08wOwdcugK/Cf9M599cKWtYk4GWgGrACP8FhFSpYOQHMrCa+v9whzrntwbYK855W6qBBREREwleZmydERESkGBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWCp80GBmI81svZnNDpbHzOx6M7u8jPMx3MyWmZkzs0Yh2zub2fdmts/M7izk/FfMbI6ZzTWz94KpoDGzK81sU0j5ZptZ1yLyssrM5oUc/3QJyzTFzPoWcczQ0PyY2UNmdlJJrleMfL0VvE63RzjdK83s2UimGS1mVs/MbgxZb2Fm70UzT9nC+VyVMN0xZnZeBNJJCuatOZg0bgvmKIiIcMoWfH5bhKy/XNT/CpG8qkY7A2Xk7865UaWRsJnFOecywzj0W2ACfkrjUCnALcDQIs6/3Tm3I7jmU8Bw4LFg3zjn3PBw8xwY5JzbXMxzSmIovtwLAZxz95fmxcysGXCMc65tEcdVdc5llGZeYlw94EbgeciZovmgv1DLSjH+7kpDEtAX+PQg0rgN+A+wJ9wTIvCZvRI/i2b2dNzXHkRaUklV+JqG/AS1D3cGz48IfpV+b2ZPmNn8YPt+vyrNbEIw6x5mtiv4xfwDcLSZXWpmM4Jf7S+aWVzeazrnfnbOrcpn+0bn3EwgvbA8hwQMBiQAEZ1pzMy6mNmMkPV2ZjY3eH6imf0c1E68ambV8zl/V8jz84JfPscAZwJPBK9Nh9BfRAWlG9SEPGhmPwX7OudzvRpm9lqw/2czGxTs+gJoElzvuDznjDGzp8xsMvB4kJ/PzOxHM/sm+zpmdoaZ/RCk+6WZNS3itasdkpe5ZnZusP3iYNt8M3s89LUys7+arzmanp2+mZ0fHDvHzKYG24r6HD4e5P9LMzsy+JW+wszODDn/46CcS8zsgSCpx4AOwev0RPB+Z3/2831tg7Q+CNL6xcz+VsDrcb+ZzQzK8lLwmc2uQXg8+FtZmv3+mFmCmb0dvHbj8J/v/NJdFaQ9DTjfzH5n/u/2JzN713Jr3/K9fiHvX1LwPsw1sw/NrH5IfvsGzxsF168GPARcGLx2F5r/f/JvM/sqeF3+EJwz0MwmhFzn2eA1vAVoAUwOPouF5W2KmT1iZl8Dt5pZHzP7OnjPPzez5uG8/ub/5voCbwT5Tsgun5ndEPpeBnl8Jnhe5P82qVwqS9Bwu+VWxZ+cZ99rwPXOuaOBcH+51ALmO+eOArYAFwLHOueSgjQuiVC+92NmrwG/AZ2BZ0J2XWj7N0/k+083j8khx9/unFsEVDM/XS/4Mr1jZjWAMcCFzrke+NqpG8LJr3PuO/w88nc555Kcc8tDylJUupudc4cDLwD5NdvcFFyjB37u+teDNM8ElgfX+yaf8zoBJznn7gBeAm52zvUJrvF8cMw0oJ9zrjfwNnB3EUW9D9junOvhnOsJfGW+Gvhx4AT8L9MjzGxocHwtYLpzrhcwFfhDsP1+4ORg+5lFXDM7nSlB/ncCDwODgbPxX2zZjsR/JpPwX7Z9gRHkvk535Um3oNeWII0LgR74z13rfPL1rHPuCOdcd3wAcHrIvqrOuSPxv7SzA5gbgD3Ba/dXoE8hZd7rnOsPfAnci38vDwdmAX8M4/r5GQv8Kbj+vJB8HcA5l4Z/n8YFr924YFdP4DTgaOB+C2kGyCeNp/G/9gc55wYVdFyIes6544Gn8X/35wXv+av41yuvA8rvnHsP/xpdEuQ7NeT494BzQtYvBMaZWRfK6H+blB+VJWj4e/CHkuSc+zx7o5nVA+oEX24Ab4aZXibwfvD8RPw/uZlmNjtYP6SA8w6Kc+4q/C+URfg/5mzjQsqX9x9CQQaFHP/3YNs7wAXB8wuBccBhwErn3NJg++vAgIMuTNHpfhA8/gi0y+f8/sC/AZxzi4HV+ICgKO865zKDX6XHAO8G79uLQPavtlbA52Y2D7gL6FZEmicBz2WvOOe2Akfgv9A3BVXKb4SULw3fZJO3fN8CY4JfquH8oksDPguezwO+ds6lB8/bhRw30Tm3JfhcfIB/7QpT2Gs7yTm33Tm3F9/klF8z0CDzNTXz8EFT6OuX3/s6AF9Vj3NuLjC3kLxlf0n3A7oC3wbv3xUheSns+vsxs0T8l/LXwaaSfr4/ds6lBk1+k/GBWqRkl/kwoDswMSjzvfjPal5hlx/AObcJWGFm/cysYXCdbynD/21SflSWPg0FKazaMoP9g6oaIc/3hrSnGvC6c+6eSGcuP8EX3jj8l9lrEU5+HP5L9AN/KfeLmSWFm7WQ5zUKPCpXoVXGwL7gMZP8P6dFnV+Q3cFjFWBb8Asqr2eAp5xz4803BYwsIk3jwOaiwvKX7pzLPj6nfM65683sKPwv1tnBa1/Y5zA0nSyC18w5l2Vmoa9Z3rwV1bRVWN73hTw/4L0JaiSeB/o659aa2cg8eS7ofQ23uS37/TN8MHRxMa9fHKGvfVFp5PcaF/beFUdomRcEtaL5Oojyj8P/YFgMfOicc0GzTpn9b5PyobLUNOQr+EW408z6BZsuCtm9CkgysypBFWxBvxwmAeeZWRMAM2tgZoV2wiuuoE3y0OznwBn4P+6ICpoPMvHV7dm/bhYD7bKvD1wGfJ3P6cnm+0VUwVePZ9sJ1Mnn+HDTLchUgqpSM+sEtAGWhHty0EdkpZmdH6RhZtYr2J0IrA+eXxFGcl/gO6YSpFUf+AE43nxbeBy+mr/Q8plZB+fcD0Fn0c1Aa8L/HBZmcPC5TMB3TP2Wgt8XOLjXNvsLanNQmxNO58rQ63XHV/UXZTpwbMjfRc0gr8W6vnNuO7DVcvu/hH4OV5HbVBKaTn6v3Vnm+4I0BAYCM/E1NF3NrHpQo3FiQWmY2VgzK+q9XQI0NrOjg3PizSxvLUJh5S/sPf8A/9m4mNy//VL/3yblT6UOGgLXAC+Z2ff4SH57sP1bYCW+qncU8FN+JzvnFuKrCb8w33FwIrnV3DnM7BYzW4evTpxrZi8H25sF2/8I3Gtm68ysbrDv06Bt1PDtyvOC/DRn/zbrvH0ajgmj3KF9GsaGbB8HXIpvqiCohr4KXwMxD/+LdnQ+6Y3AV7l/BWwI2f42cJf5DnUdQl63cNMtyPNAXHDuOOBK59y+Is7J6xLgGjObAywAzgq2jwzy9Q3+y7soDwP1LejEiG/62QDcg6+qngP85Jz7uIh0nrCg4yT+i3QOYX4OizAN39wwG3jfOTfLObcFX7U/38yeyHN8iV9b59w24F9Bfj/Cf3kW5QWgdvD3czcwo4jjs6vUrwTeCs6bDnQu4fWvwL/2c/F9NrL/tkYBN5jZd0CjkOMn44OB2WaW3Uw4A/hvkI+/OOd+dc6txf8dzcU3T/0cksZLwP8styNkT/b/u8mvzGn4IODx4HM2G9/EFnrMNgou/xhgtOXT7yn4AbUQaOucmxFsC+t/m1Qullu7WTmZWW3n3K7g+QiguXPu1ihnSyQizOxKfFV1cW/JlTAFTQC7XAlv6w5+JLzinDs/ohkTKQWVvU8DwGlmdg/+tViN//UiIlImgqYyBQxSLlT6mgYREREJj/o0iIiISFgqfNBgeeY+KMk5dhBj4VvISHulwUJGnTOzM4N+GWXKwhv3fmBoB00rpfk/gg6ni8zsjUKOyRll0UJGBz2Ia5b5XCYVRUn+PkspH/uN3hjmObdZGPNHlCRtkVhV4YMG/G1Exf2nVJJzos45N94591jRR0bFQEJ6ejvnRjvnxhZ8eIndCJzqnCuzketKsSwRZ7E3DPBQyuHfWuA2IGKTThUlBt87qYQqdNBg+c99kO8484WdE+w63w4cMz/O/Lj9M4P0risgK1XN7HXLnaGyZnB+QWP032JmC4Pj3w621TI/P8PM4PbFs/JeJM8v6DFm9rSZfWd+LoLzQo67KyTPD+aTTlxw/vzgFsDbg+2FvnbBMassmMXT/Lj2U8ysHXA9ucN5H2f7z/+Rb7pWwFwFBTGz0fgR68ab2e3m7yv/KEh3upkVev9/fvkwsyZm9mOwv5f5WUrbBOvLzY8PEFqWfPMcHPdOkPY48yP2HVB7VdBnIs8xY8xstPn5Mpaa2ekh79sBn0fzv3Qnm9mbwLxg/esgP0vNz/x6SZDneRZ85q2AOTiC8r5qufNc3BKSt3znKrB85tuwgv/WstNqa2aTgrJMCnndS/zZDo453nJvN/7ZzLLHLqht/u9zsZm9kf3aWz5zpFgR80eY2ZAgnWmEDNFsBfwdB+/dKMudv+TmYPsqO4j5NqyE/0tECuScq9AL/t7k80LW5wLHB88fAv4RxjlTgCeD56cCXwbPhwH3Bs+r48d2b58nrXb40eGODdZfBe4MnjcIOe7fwBnB81+B6sHzesHjI8Cl2duApfi5BwYCE4LtV+LHnc8uw7v4wLArsCzY/jv8PeIW7JsADMiT5z740fbIk4d8X7vQ1ws/IE6j4Hlf/FDK4Mc+uDMkzZz1QtLN93Uv4v0Ovf4zwAPB8xOA2fm8TuHkYwFQFz+A00z8+A5tge/zSSPfPOPntngxeN4dP1pg33zyn+9nIp/P52fB+9cRWIcf1CffzyP+M7Kb4LMZrG/D33NfHT+Q1YPBvltDyl2f3M7S14aUayTwXXBuI/z8K/FAF+ATID447nng8uC5I/fz/beQfI4h5G8tTzk/Aa4Inl8NfHSwn+2QdLP/Hmvj75waiB+jpVVw7vf44bRrAGuBTsHxY4Hb8n7W8qSffU7HIC/vkPs3WtDf8Q34oemrhn4OgmvcHTxvhB+/o1aw/ifg/kj9Lynqb0uLFudcxa5pyMsObpz5/MbM/x1wuflx2X8AGuL/UeS11jn3bfD8P+SO/T/I8h8jfi5+NrpL8V8u2dcaEVxrCv4fU5si8vyRcy7L+UFasmdq/F2w/IwfKKhzPnleARxiZs+Y2RBgx0G+dgUKI92i5qAoTOgcCl8BDYPrFTcf3wHHBuuPBI/HAflNiFVQnvvjB7rCOTefgudXKOgzkdc7wXv7C/796kzhn8cZzrmVIefPdM5tcH7QpuX4US1h/3krCpuD47/OuX3Oz7WwEf/5KmyugoLm2yjM0eTOB/Nv9p8zo6SfbfADZj0V1BbUc7nTTc9wzq1zzmXhB05qR8nmXukcnPOLc84RzKsRksf8/o5PAkZn58U5lxJyzsHMtxGp/yUigMZpKI78xsw3/CyJn+d/So4DxqW3wseIPw3/j+lM4D7zQ8UacK5zbr/hfK3waZtDR/GzkMdHnXMvFphZ57aaH1L5ZPyMhxcAtxdynVDFGa8/HEXNQVGY/OZQKMk9xt/gg4S2wMf4X3iO3C/BvAr6rBSqiM9EXvnNdZDv59H8/Bm78xwf+tnIClnPCslzYXNw5DcHRWFzFeQ730YxhZY57M+2md1E7kyipzrnHjOz/+Jrgqab2Un5pBlappIo6HNW0N9xfvOXZDuY+TbC/l8iEo7KUNOQM966K3yc+XzPKcLn+GFm48GP029mtfI5ro0F48Xjx3afRgFjxJufu6G1c24yfkjdevgq1M+Bm0PaKnuHkb+C8nx1SFtoSwvGls9mvk9CFefc+/h5KA4vxmu3itzx+s8N2Z7va1qMdEPz19LMJhV2TCB0ToOB+Om2d+R3YBH5mIofWvuX4FdoCv4L59sDEirYNIIZRM3fLdAjn2OKM2/C+ebno+iA/zW/hPA/j+Eq7hwcJZmroLC/te/InQ/mEvxrWJh8P9vOuedc7oyuv5qf42Oec+5xfBNO50LSLGyOlMLmVWlvuX00Qr/kC/o7/gK43oKJxsysQT7pFmu+jTL4XyKVUGWoaXgb+FdQFXke/p/faPOdEVfg5z8o6pyCvIyvwvwp+APchO8Nntci4AozexH4BXjBObfHzLLHiF9F7hjxccB/gupyw0/rvc3M/gL8Az9vhQXnnB7OCxDKOfeFmXUBvg/+Z+zCfyFuDDmsJfBa8E8H/BwKEN5r9yDwipn9GV9Fnu0T4L2g09XNec4JJ91Qzcmtai3MyKAcc4E9FP3Fl28+nHOrgtdqanDcNKCV8+P1h+t5/Pwhc/HV53PJneeE4DrbCvhM5GcJ/surKXC9c26v+flM2lH05zFcI/FzcKzHf2G1L+xg59xCM8ueq6AKkI6vqVpdyGn7/a05P2latluAV83sLnxZCv1chPnZBrjNzAbhaxMWAv/DN4Xkl+ZeM8ueI6Uq/j3JniMle/6IDc65QXnOGQb818w24z8v3YPdBf0dv4yffnyumaXj5494Nk9eNpkfFvwtM6sebL7XObc0Gv9LpHLSiJBS7pjZcGCNc258tPMSLvN3EcQHXygd8L/KOzk/CVFx0xqD71j3XoSzKSJSqMpQ0yAVjHPu2aKPijk18bfnxeN/9d1QkoBBRCSaVNMgIiIiYakMHSFFREQkAip80GDFnBfA/FwRvw9ZzxllsYTXfyjklq6YYmb1zOzGKFw3rDH7RUQktlT4oMEVf16AdsDvizqoGNe/3zn3ZaTSi7B6+LkaIsq8wj5bt1GGY/aLiEhkVPigwcKYFyCPx4DjzI9Lnz2gUQsz+8zMfjGzv4Wkne848HmuP8aCsfHNjyP/YHD8PDPrHGyvbWavWe648+cG2y8Ots03s8dD0twVlONH83MCHGm58wCcGRwTzrwYjwEdgrI+EeRjUkj+ssfFPyJIo4b5cesXmFn30ISCGppFZvY8fjS+1mb2gpnNCo5/MDjugDH7w3kdRUQkBkR7HOvSXghjXoA8xw8kGCc+WL8Sf89+In4QldVAawoZBz5PemPYf16Gm4PnNwIvB88fJ2QODPyY/y2ANUBj/F0uXwFDg/0OOCV4/iF+YJh4oBe58yuEOy/G/JD1qkDd4HkjYBm5nWUfBkYBzwH35FPOdvjRBPuFbMsePz8ueO17hrwOjUKuU+TrqEWLFi1aor9UxlsuSzKXwSTnRwzEzBbihxOuR+448ADV8JPcFOf62bPfnUTuyHc4P4zzAPxkT5uC676BHw72I/w4/p8Fh88D9jnn0s2PO59dpt8BPS13BsBE/Dj8ofMP5GXAI8G1s/CDPDUFfsNP4DQT2IsfdCc/q51z00PWLwgGuamKH5CpKwfOuRA6nj6E/zqKiEgZq4xBQ0nmMihoTPoDxoEv4fXzG3e+sDHvQ8fxz5k3wDmXFYxal31+OPNihLoEX7PRJwhCVpE7RG0D/BC08cG2vHMZELrNzNrjZ3Y8IgiCxpD/PAolfR1FRKSMVfg+DSUQ7rwTBY0DXxJf4KddJkirPn4I5uPNrFEwmuDFFDEnQx7hzEOQt6yJwMYgYBhE7gx64IfMvQ94A9+cUpS6+CBiu/lJtU4p4LqRfB1FRKQUKWg40Fwgw8zmhHSEPEDQbHAlfhz4ufgvv8ImvinMw0D9oMPjHGCQc24Dfs6HycAc4Cfn3MfFSPNl/Lj6P5nZfOBF8tSsOOe24JsF5pvZE/iAoK+ZzcLXOiwGMH/LaoZz7k1858kjzOyEwi7unJuDn2NhAfAq+0/ulD1m/+QIv44iIlKKNCKkiIiIhEU1DSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhIWBQ0iIiISFgUNIiIiEhYFDSIiIhKW/wczmw2iYn8C1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.3E  Evolution of real consumption and real output, relative\n",
    "    to the baseline solution, following a permanent one-shot decrease\n",
    "    in the income tax rate'''\n",
    "\n",
    "ydata = list()\n",
    "ckdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = theta.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    ydata.append(s['Yk']/base['Yk'])\n",
    "    ckdata.append(s['Ck']/base['Ck'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.99, 1.03)\n",
    "\n",
    "axes.plot(ydata, linestyle='-', color='b')\n",
    "axes.plot(ckdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(40, 1.019, 'Real output')\n",
    "plt.text(40, 1.026, 'Real consumption')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, Permanent increase in the growth rate of government expenditure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "grg = create_growth_model()\n",
    "grg.set_values(growth_parameters)\n",
    "grg.set_values(growth_exogenous)\n",
    "grg.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    grg.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "grg.set_values({'GRg': 0.035})\n",
    "\n",
    "for _ in range(90):\n",
    "    grg.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.4A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.4A  Evolution of the employment rate and of the inflation\n",
    "    rate, with the growth rate of real pure government expenditure being\n",
    "    forever higher than in the baseline solution'''\n",
    "\n",
    "erdata = [s['ER'] for s in grg.solutions[5:80]]\n",
    "pidata = [s['PI'] for s in grg.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.set_ylim(0.99, 1.09)\n",
    "axes.plot(erdata, linestyle='-', color='b')\n",
    "\n",
    "plt.text(13, 1.03, 'Employment')\n",
    "plt.text(13, 1.026, 'rate')\n",
    "\n",
    "axes2 = axes.twinx()\n",
    "axes2.spines['top'].set_visible(False)\n",
    "axes2.set_ylim(0, 0.095)\n",
    "axes2.plot(pidata, linestyle='--', color='g')\n",
    "\n",
    "plt.text(65, 0.065, 'Inflation')\n",
    "plt.text(65, 0.061, 'rate')\n",
    "\n",
    "# add labels\n",
    "fig.text(0.1, 1.24, 'Employment rate')\n",
    "fig.text(1.05, 1.24, 'Inflation rate')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.4B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.4B  Evolution of the real rate of capital accumulation and of \n",
    "    the growth rate of real output, with the growth rate of real pure government \n",
    "    expenditures being forever higher than the baseline solution.'''\n",
    "\n",
    "grgdata = list()\n",
    "grkdata = list()\n",
    "ykdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = grg.solutions[i]\n",
    "    s_1 = grg.solutions[i-1]\n",
    "\n",
    "    grgdata.append(s['GRg'])\n",
    "    grkdata.append(s['GRk'])\n",
    "    ykdata.append((s['Yk']/s_1['Yk'])-1)\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.029, 0.036)\n",
    "\n",
    "axes.plot(grgdata, linestyle='-', color='b')\n",
    "axes.plot(grkdata, linestyle='--', color='g')\n",
    "axes.plot(ykdata, linestyle=':', linewidth=2, color='r')\n",
    "\n",
    "# add labels\n",
    "plt.text(15, 0.0353, 'Real pure government expenditures growth rate')\n",
    "plt.text(40, 0.033, 'Real rate of capital')\n",
    "plt.text(40, 0.0327, 'accumulation')\n",
    "plt.text(40, 0.0307, 'Real output growth rate')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.4C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.4C  Evolution of the government deficit to GDP ratio and of the government\n",
    "    debt to GDP ratio, with the growth rate of real pure government expenditures being\n",
    "    forever higher than in the baseline solution.'''\n",
    "\n",
    "gddata = [s['GD']/s['Y'] for s in grg.solutions[5:80]]\n",
    "psbrdata = [s['PSBR']/s['Y'] for s in grg.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.014, 0.09)\n",
    "axes.plot(psbrdata, linestyle='--', color='g')\n",
    "\n",
    "plt.text(14, 0.04, 'Debt to GDP ratio')\n",
    "\n",
    "axes2 = axes.twinx()\n",
    "axes2.spines['top'].set_visible(False)\n",
    "axes2.set_ylim(0.66, 0.78)\n",
    "axes2.plot(gddata, linestyle='-', color='b')\n",
    "\n",
    "plt.text(45, 0.695, 'Real output growth rate')\n",
    "\n",
    "# add labels\n",
    "fig.text(0, 1.28, 'Deficit to GDP ratio')\n",
    "fig.text(1.1, 1.28, 'Debt to GDP ratio')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in four steps in the nominal interest rate on government bills"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "rbbar_step = create_growth_model()\n",
    "rbbar_step.set_values(growth_parameters)\n",
    "rbbar_step.set_values(growth_exogenous)\n",
    "rbbar_step.set_values(growth_variables)\n",
    "\n",
    "for _ in range(15):\n",
    "    rbbar_step.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "for rate_step in [0.0375, 0.04, 0.0425, 0.045]:\n",
    "    rbbar_step.set_values({'Rbbar': rate_step})\n",
    "    for _ in range(2):\n",
    "        rbbar_step.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "for _ in range(77):\n",
    "    rbbar_step.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.5A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.5A  Evolution of the lending rate, the deposit rate, and the bond rate,\n",
    "    when the (nominal) bill rate is being hiked up in steps and then kept at this\n",
    "    higher level.'''\n",
    "\n",
    "rmdata = [s['Rm'] for s in rbbar_step.solutions[5:80]]\n",
    "rbdata = [s['Rb'] for s in rbbar_step.solutions[5:80]]\n",
    "rbldata = [s['Rbl'] for s in rbbar_step.solutions[5:80]]\n",
    "rldata = [s['Rl'] for s in rbbar_step.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.014, 0.09)\n",
    "\n",
    "axes.plot(rmdata, linestyle='-', color='k')\n",
    "axes.plot(rbdata, linestyle='--', color='g')\n",
    "axes.plot(rbldata, linestyle=':', linewidth=2, color='b')\n",
    "axes.plot(rldata, linestyle='-.', color='r')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 0.032, 'Deposit rate')\n",
    "plt.text(30, 0.048, 'Bill rate')\n",
    "plt.text(30, 0.06, 'Bond rate')\n",
    "plt.text(30, 0.077, 'Lending rate')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.5B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.5B  Evolution of the real rate of capital accumulation and of \n",
    "    the growth rate of real output, with the growth rate of real pure government \n",
    "    expenditures being forever higher than the baseline solution.'''\n",
    "\n",
    "ykdata = list()\n",
    "ckdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = rbbar_step.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    ykdata.append(s['Yk']/base['Yk'])\n",
    "    ckdata.append(s['Ck']/base['Ck'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.97, 1.05)\n",
    "\n",
    "axes.plot(ykdata, linestyle='-', color='b')\n",
    "axes.plot(ckdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(45, 1.022, 'Real output')\n",
    "plt.text(45, 1.039, 'Real consumption')\n",
    "\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.5C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.5C  Evolution of the government debt to GDP ratio, when the (nominal)\n",
    "    bill rate is set to a higher level'''\n",
    "\n",
    "gddata = [s['GD']/s['Y'] for s in rbbar_step.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(gddata, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(35, 0.71, 'Government debt to GDP ratio')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.5D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.5D  Evolution of the personal loans to regular disposable income ratio,\n",
    "    when the (nominal) bill rate is set at a higher level.'''\n",
    "\n",
    "data = [s['Lhs']/s['YDr'] for s in rbbar_step.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.35, 0.395)\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(25, 0.37, 'Personal loans to regular disposable income ratio')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.5E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.5E  Evolution of the burden of personal debut (the weight of interest\n",
    "    payments and principal repayment, as a fraction of personal income), when the\n",
    "    (nominal) bill rate is set at a higher level.'''\n",
    "\n",
    "data = [s['BUR'] for s in rbbar_step.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(25, 0.064, 'The burden of personal debt')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, Increase in the rate of growth in government expenditures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "alpha1 = create_growth_model()\n",
    "alpha1.set_values(growth_parameters)\n",
    "alpha1.set_values(growth_exogenous)\n",
    "alpha1.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    alpha1.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "alpha1.set_values({'alpha1': 0.8})\n",
    "\n",
    "for _ in range(90):\n",
    "    alpha1.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.7A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.7A  Evolution of real consumption and real output, relative to the\n",
    "    baseline solution, following a one-step permanent increase in the propensity\n",
    "    to consume out of regular income.'''\n",
    "\n",
    "ykdata = list()\n",
    "ckdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = alpha1.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    ykdata.append(s['Yk']/base['Yk'])\n",
    "    ckdata.append(s['Ck']/base['Ck'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.99, 1.08)\n",
    "\n",
    "axes.plot(ykdata, linestyle='-', color='b')\n",
    "axes.plot(ckdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(19, 1.005, 'Real output')\n",
    "plt.text(11, 1.06, 'Real consumption')\n",
    "\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.7B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.7B  Evolution of real household wealth, relative to the baseline solution,\n",
    "    following a one-step permanent increase in the propensity to consume out of\n",
    "    regular income.'''\n",
    "\n",
    "data = list()\n",
    "for i in range(5, 80):\n",
    "    s = alpha1.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    data.append(s['Vk']/base['Vk'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.7, 1.05)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(15, 0.9, 'Real household wealth')\n",
    "\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.7C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.7C  Evolution of the inflation rate, following a one-step permanent increase\n",
    "    in the propensity to consume out of regular income.'''\n",
    "\n",
    "data = [s['PI'] for s in alpha1.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(12, 0.028, 'Inflation rate')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.7D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.7D  Evolution of the costing margin of firms and of their normal historic\n",
    "    unit costs, relative to the baseline solution, following a one-step permanent increase\n",
    "    in the propensity to consume out of regular income.'''\n",
    "\n",
    "nhucdata = list()\n",
    "phidata = list()\n",
    "for i in range(5, 80):\n",
    "    s = alpha1.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    nhucdata.append(s['NHUC']/base['NHUC'])\n",
    "    phidata.append(s['phi']/base['phi'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.9, 1.35)\n",
    "\n",
    "axes.plot(nhucdata, linestyle='-', color='b')\n",
    "axes.plot(phidata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(20, 1.18, 'Normal historic unit costs')\n",
    "plt.text(20, 1.03, 'Costing margin')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.7E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.7E  Evolution of the retained earnings to gross fixed investment ratio and\n",
    "    of real inventories, relative to the baseline solution, following a one-step\n",
    "    permanent increase in the propensity to consume out of regular income.'''\n",
    "\n",
    "indata = list()\n",
    "fudata = list()\n",
    "for i in range(5, 80):\n",
    "    s = alpha1.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    indata.append(s['INk']/base['INk'])\n",
    "    fudata.append((s['FUf']/s['INV']) / (base['FUf']/base['INV']))\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "#axes.set_ylim(0.9, 1.35)\n",
    "\n",
    "axes.plot(indata, linestyle='-', color='b')\n",
    "axes.plot(fudata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(15, 1.05, 'Real inventories')\n",
    "plt.text(10, 1.08, 'Retained earnings to gross fixed investment ratio')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.7F"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.7F  Evolution of government deficit to GDP ratio and of the government\n",
    "    debt to GDP ratio, relative to the baseline solution, following a one-step\n",
    "    permanent increase in the propensity to consume out of regular income.'''\n",
    "\n",
    "gddata = list()\n",
    "psbrdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = alpha1.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    gddata.append((s['GD']/s['Y'])/(base['GD']/base['Y']))\n",
    "    psbrdata.append((s['PSBR']/s['Y'])/(base['PSBR']/base['Y']))\n",
    "    \n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.35, 1.05)\n",
    "\n",
    "axes.plot(gddata, linestyle='-', color='b')\n",
    "axes.plot(psbrdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(15, 0.8, 'Government debt to GDP ratio')\n",
    "plt.text(20, .5, 'Government deficit to GDP ratio')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.7G"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.7G  Evolution of Tobin's q ratio and of the price-earnings ratio, relative\n",
    "    to the baseline solution, following a one-step permanent increase in the propensity\n",
    "    to consume out of regular income.'''\n",
    "\n",
    "qdata = list()\n",
    "pedata = list()\n",
    "for i in range(5, 80):\n",
    "    s = alpha1.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    qdata.append(s['Q']/base['Q'])\n",
    "    pedata.append(s['PE']/base['PE'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(qdata, linestyle='-', color='b')\n",
    "axes.plot(pedata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(10, 1, \"Tobin's q ratio\")\n",
    "plt.text(15, .9, 'Price earnings ratio')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in the ratio of new loans to personal income"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "eta0 = create_growth_model()\n",
    "eta0.set_values(growth_parameters)\n",
    "eta0.set_values(growth_exogenous)\n",
    "eta0.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    eta0.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "eta0.set_values({'eta0': 0.08416})\n",
    "    \n",
    "for _ in range(90):\n",
    "    eta0.solve(iterations=200, threshold=1e-6)\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.8A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.8A  Evolution of the personal loans to personal income ratio and of the\n",
    "    burden of personal debt, following an increase in the gross new loans to personal\n",
    "    income ratio.'''\n",
    "\n",
    "data = list()\n",
    "burdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = eta0.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    data.append((s['Lhd']/s['YP']))\n",
    "    burdata.append(s['BUR'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.061, 0.082)\n",
    "\n",
    "axes.plot(burdata, linestyle='--', color='g')\n",
    "plt.text(30, 0.0753, 'Debt burden ratio')\n",
    "\n",
    "axes2 = axes.twinx()\n",
    "axes2.spines['top'].set_visible(False)\n",
    "axes2.set_ylim(0.28, 0.37)\n",
    "\n",
    "axes2.plot(data, linestyle='-', color='b')\n",
    "plt.text(30, 0.361, 'Personal loans to personal income ratio')\n",
    "\n",
    "# add labels\n",
    "fig.text(0.05, 1.25, 'Burden')\n",
    "fig.text(1.1, 1.25, 'Loans to income ratio')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.8B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.8B  Evolution of real output and real consumption, relative to the baseline\n",
    "    solution, following an increase int the groww new loans to personal income ratio.'''\n",
    "\n",
    "ykdata = list()\n",
    "ckdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = eta0.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    ykdata.append(s['Yk']/base['Yk'])\n",
    "    ckdata.append(s['Ck']/base['Ck'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(ykdata, linestyle='-', color='b')\n",
    "axes.plot(ckdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(35, 0.997, 'Real output')\n",
    "plt.text(40, 0.991, 'Real consumption')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.8C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.8C  Evolution of the bank capital adequacy ratio and of the bank liquidity\n",
    "    ratio, relative to the baseline solution, following an increase in the groww new loans\n",
    "    to personal income ratio.'''\n",
    "\n",
    "blrdata = list()\n",
    "cardata = list()\n",
    "for i in range(5, 80):\n",
    "    s = eta0.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    blrdata.append(s['BLR']/base['BLR'])\n",
    "    cardata.append(base['CAR']/base['CAR'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(blrdata, linestyle='-', color='b')\n",
    "axes.plot(cardata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(45, 0.9, 'Bank liquidity ratio')\n",
    "plt.text(33, 1.01, 'Bank capital adequacy ratio')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.8D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.8D  Evolution of the lending rate set by banks, following an increase\n",
    "    in the gross new loans to personal income ratio.'''\n",
    "\n",
    "data = [s['Rl'] for s in eta0.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(14, 0.062, 'Interest rate on loans')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.8E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.8E  Evolution of the government deficit to GDP ratio and of the \n",
    "    government debt to GDP ratio, relative to the baseline solution, following an\n",
    "    increase in the gross new loans to personal income ratio.'''\n",
    "\n",
    "gddata = list()\n",
    "psbrdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = eta0.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    gddata.append((s['GD']/s['Y'])/(base['GD']/base['Y']))\n",
    "    psbrdata.append((s['PSBR']/s['Y'])/(base['PSBR']/base['Y']))\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(gddata, linestyle='-', color='b')\n",
    "axes.plot(psbrdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(40, 0.97, 'Debt to GDP ratio')\n",
    "plt.text(18, 0.92, 'Deficit to GDP ratio')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in the desire to hold equities, offset by a drop in the desire to hold deposits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "lambda40 = create_growth_model()\n",
    "lambda40.set_values(growth_parameters)\n",
    "lambda40.set_values(growth_exogenous)\n",
    "lambda40.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    lambda40.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "lambda40.set_values({'lambda40': 0.77132})\n",
    "\n",
    "for _ in range(90):\n",
    "    lambda40.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.9A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.9A  Evolution of Tobin's q ratio, the price-earnings ratio and the share of\n",
    "    equities in household wealth held in the form of financial market assets, all relative\n",
    "    to the baseline solution, following an increase in the household desire to hold stock\n",
    "    market equities.'''\n",
    "\n",
    "eqdata = list()\n",
    "qdata = list()\n",
    "pedata = list()\n",
    "for i in range(5, 80):\n",
    "    s = lambda40.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    eqdata.append((s['Pe']*s['Ekd']/s['Vfma'])/(base['Pe']*base['Ekd']/base['Vfma']))\n",
    "    qdata.append(s['Q']/base['Q'])\n",
    "    pedata.append(s['PE']/base['PE'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.98, 1.3)\n",
    "\n",
    "axes.plot(eqdata, linestyle='-', color='b')\n",
    "axes.plot(qdata, linestyle='--', color='g')\n",
    "axes.plot(pedata, linestyle=':', linewidth=2, color='r')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 1.05, 'Share of equities in financial market assets')\n",
    "plt.text(40, 1.17, \"Tobin's q ratio\")\n",
    "plt.text(35, 1.11, 'Price-earnings ratio')\n",
    "fig.text(0.1, -.15, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.9B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.9B  Evolution of real wealth, real consumption, real output and\n",
    "    real gross investment, all relative to the baseline solution, following an\n",
    "    increase in the household desire to hold stock market equities.'''\n",
    "\n",
    "ykdata = list()\n",
    "ckdata = list()\n",
    "ikdata = list()\n",
    "vkdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = lambda40.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    ykdata.append(s['Yk']/base['Yk'])\n",
    "    ckdata.append(s['Ck']/base['Ck'])\n",
    "    ikdata.append(s['Ik']/base['Ik'])\n",
    "    vkdata.append(s['Vk']/base['Vk'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.92, 1.17)\n",
    "\n",
    "axes.plot(ykdata, linestyle='-', color='b')\n",
    "axes.plot(ckdata, linestyle='--', color='g')\n",
    "axes.plot(ikdata, linestyle=':', linewidth=2, color='r')\n",
    "axes.plot(vkdata, linestyle='-.', color='k')\n",
    "\n",
    "# add labels\n",
    "plt.text(40, 0.98, 'Real output')\n",
    "plt.text(28, 1.015, 'Real consumption')\n",
    "plt.text(20, 0.96, 'Real gross')\n",
    "plt.text(21, 0.95, 'investment')\n",
    "plt.text(11, 1.15, 'Real wealth')\n",
    "fig.text(0.1, -.15, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.9C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.9C  Evolution of the lending rate and the deposit rate, following an\n",
    "    increase in the household desire to hold stock market equities, when this desire\n",
    "    is offset by a drop in the desire to hold bank deposits.'''\n",
    "\n",
    "rldata = [s['Rl'] for s in lambda40.solutions[5:80]]\n",
    "rmdata = [s['Rm'] for s in lambda40.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(rldata, linestyle='-', color='b')\n",
    "axes.plot(rmdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 0.078, 'Lending rate')\n",
    "plt.text(30, 0.04, 'Deposit rate')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in the desire to hold equities, offset by a drop in the desire to hold bills and bonds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "lambdax0 = create_growth_model()\n",
    "lambdax0.set_values(growth_parameters)\n",
    "lambdax0.set_values(growth_exogenous)\n",
    "lambdax0.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    lambdax0.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "lambdax0.set_values({'lambda20': 0.20,\n",
    "                     'lambda30': -0.04341 - 0.05,\n",
    "                     'lambda40': 0.77132})\n",
    "\n",
    "for _ in range(90):\n",
    "    lambdax0.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.9D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.9D  Evolution of the lending rate and the deposit rate, following an\n",
    "    increase in the household desire to hold stock market equities, when this desire\n",
    "    is offset by a drop in the desire to hold bills and bonds.'''\n",
    "\n",
    "rldata = [s['Rl'] for s in lambdax0.solutions[5:80]]\n",
    "rmdata = [s['Rm'] for s in lambdax0.solutions[5:80]]\n",
    "rbdata = [s['Rb'] for s in lambdax0.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(rldata, linestyle='-', color='b')\n",
    "axes.plot(rmdata, linestyle='--', color='g')\n",
    "axes.plot(rbdata, linestyle=':', linewidth=2, color='r')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 0.066, 'Lending rate')\n",
    "plt.text(30, 0.021, 'Deposit rate')\n",
    "plt.text(30, 0.037, 'Bill rate')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in the target proportion of gross investment financed by retained earnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "psiu = create_growth_model()\n",
    "psiu.set_values(growth_parameters)\n",
    "psiu.set_values(growth_exogenous)\n",
    "psiu.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    psiu.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "psiu.set_values({'psiu': 1})\n",
    "\n",
    "for _ in range(90):\n",
    "    psiu.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.10A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.10A  Evolution of the costing margin of firms, following an increase in the\n",
    "    target proportion of gross investment being financed by gross retained earnings.'''\n",
    "\n",
    "data = [s['phi'] for s in psiu.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 0.307, 'Costing margin')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.10B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.10B  Evolution of the wage inflation rate, following an increase in the target\n",
    "    proportion of gross investment being financed by gross retained earnings.'''\n",
    "\n",
    "data = list()\n",
    "\n",
    "for i in range(5, 80):\n",
    "    s = psiu.solutions[i]\n",
    "    s_1 = psiu.solutions[i-1]\n",
    "    \n",
    "    data.append(((s['W']/s_1['W']) - 1)*100)\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(25, 4.2, 'Wage inflation rate')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.10C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.10C  Evolution of the employment rate and of real consumption, relative\n",
    "    to the baseline solution, following an increase in the target proportion of gross\n",
    "    investment being financed by gross retained earnings.'''\n",
    "\n",
    "ckdata = list()\n",
    "erdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = psiu.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    \n",
    "    ckdata.append(s['Ck']/base['Ck'])\n",
    "    erdata.append(s['ER']/base['ER'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.943, 1.003)\n",
    "\n",
    "axes.plot(ckdata, linestyle='-', color='b')\n",
    "axes.plot(erdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 0.97, 'Real consumption')\n",
    "plt.text(13, 0.985, 'Employment rate')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.10D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.10D  Evolution of Tobin's q ratio and of the price-earnings ratio,\n",
    "    relative to the baseline solution, following an increase in the target\n",
    "    proportion of gross investment being financed by gross retained earnings,\n",
    "    which also corresponds to a decrease in the proportion of investment being\n",
    "    financed by new equity issues.'''\n",
    "\n",
    "qdata = list()\n",
    "pedata = list()\n",
    "for i in range(5, 80):\n",
    "    s = psiu.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "    \n",
    "    qdata.append(s['Q']/base['Q'])\n",
    "    pedata.append(s['PE']/base['PE'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.97, 1.11)\n",
    "\n",
    "axes.plot(qdata, linestyle='-', color='b')\n",
    "axes.plot(pedata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(40, 1.08, \"Tobin's q ratio\")\n",
    "plt.text(40, 1.03, 'Price-earnings ratio')\n",
    "fig.text(0.1, -.2, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.10E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.10E  Evolution of the deflated averaged growth rate of the entrepreneurial\n",
    "    profits of firms and of the deflated growth rate of equity prices, following an\n",
    "    increase in the target proportion of gross investment being financed by gross\n",
    "    retained earnings and no new equity issues.'''\n",
    "\n",
    "pedata = list()\n",
    "prdata = list()\n",
    "for i in range(5, 80):\n",
    "    s = psiu.solutions[i]\n",
    "    s_1 = psiu.solutions[i-1]\n",
    "    \n",
    "    pedata.append(((s['Pe']/s['P'])/(s_1['Pe']/s_1['P'])) - 1)\n",
    "    prdata.append(((s['Ff']/s['P'])/(s_1['Ff']/s_1['P'])) - 1)\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(pedata, linestyle='-', color='b')\n",
    "axes.plot(prdata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 0.032, 'Growth rate of equiity prices (deflated)')\n",
    "plt.text(15, 0.05, 'Growth rate of firms profits (deflated)')\n",
    "fig.text(0.1, -.15, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in the percentage of defaulting loans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "nplk = create_growth_model()\n",
    "nplk.set_values(growth_parameters)\n",
    "nplk.set_values(growth_exogenous)\n",
    "nplk.set_values(growth_variables)\n",
    "    \n",
    "for _ in range(10):\n",
    "    nplk.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "nplk.set_values({'NPLk': 0.05})\n",
    "\n",
    "for _ in range(90):\n",
    "    nplk.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.11A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.11A  Evolution of the actual bank capital adequacy ratio, following an\n",
    "    increase in the percentage of non-performing loans (defaulting loans).'''\n",
    "\n",
    "data = [s['CAR'] for s in nplk.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(30, 0.091, 'Bank capital adequacy ratio')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.11B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.11B  Evolution of the lending rate and deposit rate, relative to the baseline\n",
    "    solution, following an increase in the percentage of non-performing loans (defaulting\n",
    "    loans).'''\n",
    "\n",
    "rmdata = list()\n",
    "rldata = list()\n",
    "for i in range(5, 80):\n",
    "    s = nplk.solutions[i]\n",
    "    base = baseline.solutions[i]\n",
    "\n",
    "    rmdata.append(s['Rm']/base['Rm'])\n",
    "    rldata.append(s['Rl']/base['Rl'])\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(rmdata, linestyle='-', color='b')\n",
    "axes.plot(rldata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(40, 0.81, 'Deposit rate')\n",
    "plt.text(40, 1.25, 'Lending rate')\n",
    "fig.text(0.1, -.1, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario: Model GROWTH, an increase in the normal adequacy ratio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "ncar = create_growth_model()\n",
    "ncar.set_values(growth_parameters)\n",
    "ncar.set_values(growth_exogenous)\n",
    "ncar.set_values(growth_variables)\n",
    "\n",
    "for _ in range(10):\n",
    "    ncar.solve(iterations=200, threshold=1e-6)\n",
    "\n",
    "ncar.set_values({'NCAR': 0.11})\n",
    "\n",
    "for _ in range(90):\n",
    "    ncar.solve(iterations=200, threshold=1e-6)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.11C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.11C  Evolution of the actual bank capital adequacy ratio, following a\n",
    "    one-time permanent increase in the normal capital adequacy ratio.'''\n",
    "\n",
    "ncardata = [s['NCAR'] for s in ncar.solutions[5:80]]\n",
    "cardata = [s['CAR'] for s in ncar.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "axes.set_ylim(0.09, 0.113)\n",
    "\n",
    "axes.plot(ncardata, linestyle='-', color='b')\n",
    "axes.plot(cardata, linestyle='--', color='g')\n",
    "\n",
    "# add labels\n",
    "plt.text(25, 0.111, 'Normal capital adequacy ratio')\n",
    "plt.text(24, 0.102, 'Actual capital adequacy ratio')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Figure 11.11D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "caption = '''\n",
    "    Figure 11.11D  Evolution of the interest rate on loans set by banks, following a\n",
    "    one-time permanent increase in the normal capital adequacy ratio.'''\n",
    "\n",
    "data = [s['Rl'] for s in ncar.solutions[5:80]]\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n",
    "axes.tick_params(top='off', right='off')\n",
    "axes.spines['top'].set_visible(False)\n",
    "axes.spines['right'].set_visible(False)\n",
    "\n",
    "axes.plot(data, linestyle='-', color='b')\n",
    "\n",
    "# add labels\n",
    "plt.text(10, 0.067, 'Interest rate on loans')\n",
    "fig.text(0.1, -.05, caption);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}