{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Monetary Economics: Chapter 12" ] }, { "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 OPENFLEX" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def create_openflex_model():\n", " model = Model()\n", " \n", " model.set_var_default(0)\n", " model.set_param_default(0)\n", " model.var('BdUKUK', desc='Bills issued by the UK acquired by the UK: demand')\n", " model.var('BsUKUK', desc='Bills issued by the UK acquired by the UK: supply')\n", " model.var('BcbdUKUS', desc='Bills issued by the US, demanded by the UK central bank')\n", " model.var('BcbdUKUK', desc='Bills issued by the UK, demanded by the UK central bank')\n", " model.var('BcbsUKUK', desc='Bills issued by the UK, supplied to the UK central bank')\n", " model.var('BsUK', desc='Bills issued by the UK - total supply')\n", " model.var('BdUKUS', desc='Bills issued by the US acquired by the UK: demand')\n", " model.var('BsUKUS', desc='Bills issued by the US acquired by the UK: supply')\n", " model.var('BdUSUK', desc='Bills issued by the UK acquired by the US: demand')\n", " model.var('BsUSUK', desc='Bills issued by the UK acquired by the US: supply')\n", " model.var('BsUS', desc='Bills issued by the US - total supply')\n", " model.var('BdUSUS', desc='Bills issued by the US acquired by the US: demand')\n", " model.var('BsUSUS', desc='Bills issued by the US acquired by the US: supply')\n", " model.var('BcbdUSUS', desc='Bills issued by the US, demanded by the US central bank')\n", " model.var('BcbsUSUS', desc='Bills issued by the US, supplied to the US central bank')\n", " model.var('CkUK', desc='Real consumption in the UK')\n", " model.var('CkUS', desc='Real consumption in the US')\n", " model.var('CABUK', desc='Current account balance in the UK')\n", " model.var('CABUS', desc='Current account balance in the US')\n", " model.var('CONSUK', desc='Consumption in the UK')\n", " model.var('CONSUS', desc='Consumption in the US')\n", " model.var('DSUK', desc='Domestic sales in the UK')\n", " model.var('DSUS', desc='Domestic sales in the US')\n", " model.var('DSkUK', desc='Real domestic sales in the UK')\n", " model.var('DSkUS', desc='Real domestic sales in the US')\n", " model.var('FcbUK', desc='Profits of the central bank in the UK')\n", " model.var('FcbUS', desc='Profits of the central bank in the US')\n", " model.var('GUK', desc='Government expenditure in the UK')\n", " model.var('GUS', desc='Government expenditure in the US')\n", " model.var('HdUK', desc='Demand for cash of the UK')\n", " model.var('HsUK', desc='Supply of cash for the UK')\n", " model.var('HdUS', desc='Demand for cash of the US')\n", " model.var('HsUS', desc='Supply for cash for the US')\n", " model.var('IMUK', desc='Imports of the UK from the US')\n", " model.var('IMUS', desc='Imports of the US from the UK')\n", " model.var('IMkUK', desc='Real imports of the UK from the US')\n", " model.var('IMkUS', desc='Real imports of the US from the UK')\n", " model.var('KABUK', desc='Current account balance in the UK')\n", " model.var('KABUS', desc='Current account balance in the US')\n", " model.var('KABPUK', desc='Capital account balance in the UK, excluding official transactions')\n", " model.var('KABPUS', desc='Capital account balance in the US, excluding official transactions')\n", " model.var('NAFAUK', desc='Net accumulation of financial assets in the UK')\n", " model.var('NAFAUS', desc='Net accumulation of financial assets in the US')\n", " model.var('NUK', desc='Employment in the UK')\n", " model.var('NUS', desc='Employment in the US')\n", " model.var('PDSUK', desc='Price of domestic sales in the UK')\n", " model.var('PDSUS', desc='Price of domestic sales in the US')\n", " model.var('PGUK', desc='Price of gold in the UK')\n", " model.var('PMUK', desc='Price of imports in the UK')\n", " model.var('PMUS', desc='Price of imports in the US')\n", " model.var('PSUK', desc='Price of sales in the UK')\n", " model.var('PSUS', desc='Price of sales in the US')\n", " model.var('PSBRUK', desc='Government deficit in the UK')\n", " model.var('PSBRUS', desc='Government deficit in the US')\n", " model.var('PYUK', desc='Price of output in the UK')\n", " model.var('PYUS', desc='Price of output in the US')\n", " model.var('PXUK', desc='Price of exports in the UK')\n", " model.var('PXUS', desc='Price of exports in the US')\n", " model.var('SUK', desc='Real sales in the UK')\n", " model.var('SUS', desc='Real sales in the US')\n", " model.var('SkUK', desc='Real sales in the UK')\n", " model.var('SkUS', desc='Real sales in the US')\n", " model.var('TUK', desc='Tax revenue in the UK')\n", " model.var('TUS', desc='Tax revenue in the US')\n", " model.var('VUK', desc='Net financial assets of the UK')\n", " model.var('VUS', desc='Net financial assets of the US')\n", " model.var('VkUK', desc='Real net financial assets of the UK')\n", " model.var('VkUS', desc='Real net financial assets of the US')\n", " model.var('XUK', desc='Exports from the UK to the US')\n", " model.var('XUS', desc='Exports from the US to the UK')\n", " model.var('XkUK', desc='Real exports from the U to the UK')\n", " model.var('XkUS', desc='Real exports from the U to the US')\n", " model.var('XRUK', desc='Exchange rate: units of UK currency against 1 unit of US currency')\n", " model.var('XRUS', desc='Exchange rate: units of US currency against 1 unit of UK currency')\n", " model.var('YDrUK', desc='Disposable income in the UK')\n", " model.var('YDrUS', desc='Disposable income in the US')\n", " model.var('YDhsUK', desc='Haig-Simons disposable income in the UK')\n", " model.var('YDhsUS', desc='Haig-Simons disposable income in the US')\n", " model.var('YDhskUK', desc='Real Haig-Simons disposable income in the UK')\n", " model.var('YDhskUS', desc='Real Haig-Simons disposable income in the US')\n", " model.var('YDhsekUK', desc='Expected real Haig-Simons disposable income in the UK')\n", " model.var('YDhsekUS', desc='Expected real Haig-Simons disposable income in the US')\n", " model.var('YUK', desc='Income in the UK')\n", " model.var('YUS', desc='Income in the US')\n", " model.var('YkUK', desc='Real income in the UK')\n", " model.var('YkUS', desc='Real income in the US')\n", "\n", " model.param('BcbsUKUS', desc='Bills issued by the US, supplied to the UK central bank')\n", " model.param('DXREUK', desc='Expected change in the exchange rate of the UK (measured as units of the UK currency against 1 unit of the US currency)')\n", " model.param('DXREUS', desc='Expected change in the exchange rate of the US (measured as units of the US currency against 1 unit of the UK currency)')\n", " model.param('GkUK', desc='Real government expenditure in the UK')\n", " model.param('GkUS', desc='Real government expenditure in the US')\n", " model.param('ORUK', desc='Gold reserves in the UK')\n", " model.param('ORUS', desc='Gold reserves in the US')\n", " model.param('PGUS', desc='Price of gold in the US')\n", " model.param('PRUK', desc='Productivity in the UK')\n", " model.param('PRUS', desc='Productivity in the US')\n", " model.param('RUK', desc='Interest rate on the UK bills')\n", " model.param('RUS', desc='Interest rate on the US bills')\n", " model.param('WUK', desc='Nominal wage rate in the UK')\n", " model.param('WUS', desc='Nominal wage rate in the US')\n", " model.param('XREUK', desc='Expected exchange rate: units of UK currency against 1 unit of US currency')\n", " model.param('XREUS', desc='Expected exchange rate: units of US currency against 1 unit of UK currency')\n", "\n", "\n", " model.param('alpha1UK', desc='Propensity to consume out of income in the UK')\n", " model.param('alpha2UK', desc='Propensity to consume out of wealth in the UK')\n", " model.param('alpha1US', desc='Propensity to consume out of income in the US')\n", " model.param('alpha2US', desc='Propensity to consume out of wealth in the US')\n", " model.param('eps0', desc='Parameter determining real exports in the UK')\n", " model.param('eps1', desc='Parameter determining real exports in the UK')\n", " model.param('eps2', desc='Parameter determining real exports in the UK')\n", " model.param('lambda10', desc='Parameter in asset demand function')\n", " model.param('lambda11', desc='Parameter in asset demand function')\n", " model.param('lambda12', desc='Parameter in asset demand function')\n", " model.param('lambda20', desc='Parameter in asset demand function')\n", " model.param('lambda21', desc='Parameter in asset demand function')\n", " model.param('lambda22', desc='Parameter in asset demand function')\n", " model.param('lambda30', desc='Parameter in asset demand function')\n", " model.param('lambda31', desc='Parameter in asset demand function')\n", " model.param('lambda32', desc='Parameter in asset demand function')\n", " model.param('lambda40', desc='Parameter in asset demand function')\n", " model.param('lambda41', desc='Parameter in asset demand function')\n", " model.param('lambda42', desc='Parameter in asset demand function')\n", " model.param('lambda50', desc='Parameter in asset demand function')\n", " model.param('lambda51', desc='Parameter in asset demand function')\n", " model.param('lambda52', desc='Parameter in asset demand function')\n", " model.param('mu0', desc='Parameter determining real imports in the UK')\n", " model.param('mu1', desc='Parameter determining real imports in the UK')\n", " model.param('mu2', desc='Parameter determining real imports in the UK')\n", " model.param('nu0m', desc='Parameter determining import prices in the UK')\n", " model.param('nu1m', desc='Parameter determining import prices in the UK')\n", " model.param('nu0x', desc='Parameter determining import prices in the UK')\n", " model.param('nu1x', desc='Parameter determining import prices in the UK')\n", " model.param('thetaUK', desc='Tax rate in the UK')\n", " model.param('thetaUS', desc='Tax rate in the US')\n", " model.param('phiUK', desc='mark-up in the UK')\n", " model.param('phiUS', desc='mark-up in the US')\n", "\n", "\n", " # Accounting Identities\n", " # ---------------------\n", " # 12.1 : Disposable income in the UK\n", " model.add('YDrUK = (YUK + RUK(-1)*BdUKUK(-1) + XRUS*RUS(-1)*BsUKUS(-1))*(1 - thetaUK) + d(XRUS)*BsUKUS(-1)')\n", " model.add('YDhsUK = YDrUK + d(XRUS)*BsUKUS(-1)') # 12.2 : Haig-Simons disposable income in the UK\n", " model.add('VUK - VUK(-1) = YDrUK - CONSUK') # 12.3 : Wealth accumulation in the UK\n", " # 12.4 : Disposable income in the US\n", " model.add('YDrUS = (YUS + RUS(-1)*BdUSUS(-1) + XRUK*RUK(-1)*BsUSUK(-1))*(1 - thetaUS) + d(XRUK)*BsUSUK(-1)')\n", " model.add('YDhsUS = YDrUS + d(XRUK)*BsUSUK(-1)') # 12.5 : Haig-Simons disposable income in the US\n", " model.add('VUS - VUS(-1) = YDrUS - CONSUS') # 12.6 : Wealth accumulation in the US\n", " model.add('TUK = thetaUK*(YUK + RUK(-1)*BdUKUK(-1) + XRUS*RUS(-1)*BsUKUS(-1))') # 12.7 : Taxes in the UK\n", " model.add('TUS = thetaUS*(YUS + RUS(-1)*BdUSUS(-1) + XRUK*RUK(-1)*BsUSUK(-1))') # 12.8 : Taxes in the US\n", "\n", " # Equations 12.9 and 12.10 dropped in favor on 12.53 and 12.54\n", "\n", " model.add('FcbUK = RUK(-1)*BcbdUKUK(-1) + RUS(-1)*BcbsUKUS(-1)*XRUS') # 12.11 : UK central bank profits\n", " model.add('FcbUS = RUS(-1)*BcbdUSUS(-1)') # 12.12 : US central bank profits\n", " model.add('BsUK = BsUK(-1) + GUK + RUK(-1)*BsUK(-1) - TUK - FcbUK') # 12.13 : UK Govt budget constraint\n", " model.add('BsUS = BsUS(-1) + GUS + RUS(-1)*BsUS(-1) - TUS - FcbUS') # 12.14 : US Govt budget constraint\n", " # 12.15 : UK Current account balance\n", " model.add('CABUK = XUK - IMUK + XRUS*RUS(-1)*BsUKUS(-1) - RUK(-1)*BsUSUK(-1) + RUS(-1)*BcbsUKUS(-1)*XRUS')\n", " # 12.16 : UK Capital account balance\n", " model.add('KABUK = KABPUK - (XRUS*d(BcbsUKUS) + PGUK*d(ORUK))')\n", " # 12.17 : US Current acount balance\n", " model.add('CABUS = XUS - IMUS + XRUK*RUK(-1)*BsUSUK(-1) - RUS(-1)*BsUKUS(-1) - RUS(-1)*BcbsUKUS(-1)')\n", " # 12.18 : US Capital account balance\n", " model.add('KABUS = KABPUS + d(BcbsUKUS) - PGUS*d(ORUS)')\n", " model.add('KABPUK = -d(BsUKUS)*XRUS + d(BsUSUK)') # 12.19 : UK capital account balance, net of official transactions\n", " model.add('KABPUS = -d(BsUSUK)*XRUK + d(BsUKUS)') # 12.20 : US capital account balance, net of official transactions\n", "\n", " # Trade\n", " # -----\n", " # 12.21 : Import prices in UK\n", " model.add('PMUK = exp(nu0m + nu1m*log(PYUS) + (1 - nu1m)*log(PYUK) - nu1m*log(XRUK))')\n", " # 12.22 : Export prices in UK\n", " model.add('PXUK = exp(nu0x + nu1x*log(PYUS) + (1 - nu1x)*log(PYUK) - nu1x*log(XRUK))')\n", " model.add('PXUS = PMUK*XRUK') # 12.23 : Export prices in US\n", " model.add('PMUS = PXUK*XRUK') # 12.24 : Import prices in US\n", " # 12.25 : Real exports from UK, depends on current relative price \n", " model.add('XkUK = exp(eps0 - eps1*log(PMUS/PYUS) + eps2*log(YkUS))')\n", " # 12.26 : Real imports of UK\n", " model.add('IMkUK = exp(mu0 - mu1*log(PMUK(-1)/PYUK(-1)) + mu2*log(YkUK))')\n", " model.add('XkUS = IMkUK') # 12.27 : Real exports from US\n", " model.add('IMkUS = XkUK') # 12.28 : Real imports of US\n", " model.add('XUK = XkUK*PXUK') # 12.29 : Exports of UK\n", " model.add('XUS = XkUS*PXUS') # 12.30 : Exports of US\n", " model.add('IMUK = IMkUK*PMUK') # 12.31 : Imports of UK\n", " model.add('IMUS = IMkUS*PMUS') # 12.32 : Imports of US\n", "\n", " # Income and expenditure\n", " # ----------------------\n", " model.add('VkUK = VUK/PDSUK') # 12.33 : Real wealth in UK\n", " model.add('VkUS = VUS/PDSUS') # 12.34 : Real wealth in US\n", " # 12.35 : Real Haig-Simons disposable income in UK\n", " model.add('YDhskUK = YDrUK/PDSUK - VkUK(-1)*d(PDSUK)/PDSUK')\n", " # 12.36 : Real Haig-Simons disposable income in US\n", " model.add('YDhskUS = YDrUS/PDSUS - VkUS(-1)*d(PDSUS)/PDSUS') \n", " # 12.37 : Real consumption in UK\n", " model.add('CkUK = alpha1UK*YDhsekUK + alpha2UK*VkUK(-1)')\n", " # 12.38 : Real consumption in US\n", " model.add('CkUS = alpha1US*YDhsekUS + alpha2US*VkUS(-1)')\n", " # 12.39 Expected real Haig-Simons disposable income in UK\n", " model.add('YDhsekUK = (YDhskUK + YDhskUK(-1))/2')\n", " # 12.40 Expected real Haig-Simons disposable income in US\n", " model.add('YDhsekUS = (YDhskUS + YDhskUS(-1))/2')\n", " model.add('SkUK = CkUK + GkUK + XkUK') # 12.41 : Real sales in UK\n", " model.add('SkUS = CkUS + GkUS + XkUS') # 12.42 : Real sales in US\n", " model.add('SUK = SkUK*PSUK') # 12.43 : Value of sales in UK\n", " model.add('SUS = SkUS*PSUS') # 12.44 : Value of sales in US\n", " model.add('PSUK = (1 + phiUK)*(WUK*NUK + IMUK)/SkUK') # 12.45 : Price of sales in UK\n", " model.add('PSUS = (1 + phiUS)*(WUS*NUS + IMUS)/SkUS') # 12.46 : Price of sales in US\n", " model.add('PDSUK = (SUK - XUK)/(SkUK - XkUK)') # 12.47 : Price of domestic sales in UK\n", " model.add('PDSUS = (SUS - XUS)/(SkUS - XkUS)') # 12.48 : Price of domestic sales in US\n", " model.add('DSUK = SUK - XUK') # 12.49 : Domestic sales in UK\n", " model.add('DSUS = SUS - XUS') # 12.50 : Domestic sales in US\n", " model.add('DSkUK = CkUK + GkUK') # 12.51 : Real domestic sales in UK\n", " model.add('DSkUS = CkUS + GkUS') # 12.52 : Real domestic sales in US\n", " model.add('YUK = SUK - IMUK') # 12.53 : Value of output in UK\n", " model.add('YUS = SUS - IMUS') # 12.54 : Value of output in US\n", " model.add('YkUK = SkUK - IMkUK') # 12.55 : Value of real output in UK\n", " model.add('YkUS = SkUS - IMkUS') # 12.56 : Value of real output in US\n", " model.add('PYUK = YUK/YkUK') # 12.57 : Price of output in UK\n", " model.add('PYUS = YUS/YkUS') # 12.58 : Price of output in US\n", " model.add('CONSUK = CkUK*PDSUK') # 12.59 : Consumption in UK\n", " model.add('CONSUS = CkUS*PDSUS') # 12.60 : Consumption in US\n", " model.add('GUK = GkUK*PDSUK') # 12.61 : Govt expenditure in UK\n", " model.add('GUS = GkUS*PDSUS') # 12.62 : Govt expenditure in US\n", "\n", " # Note : tax definitions in the book as eqns 12.63 and 12.64 are\n", " # already defined here as eqns 12.7 and 12.8\n", "\n", " model.add('NUK = YkUK/PRUK') # 12.65 : Employment in UK\n", " model.add('NUS = YkUS/PRUS') # 12.66 : Employment in US\n", "\n", " # Asset Demands\n", " # -------------\n", " # 12.67 : Demand for UK bills in UK\n", " model.add('BdUKUK = VUK*(lambda10 + lambda11*RUK - lambda12*(RUS + DXREUS))')\n", " # 12.68 : Demand for US bills in UK\n", " model.add('BdUKUS = VUK*(lambda20 - lambda21*RUK + lambda22*(RUS + DXREUS))')\n", " model.add('HdUK = VUK - BdUKUK - BdUKUS') # 12.69 : Demand for money in UK\n", " # 12.70 : Demand for US bills in US\n", " model.add('BdUSUS = VUS*(lambda40 + lambda41*RUS - lambda42*(RUK + DXREUK))')\n", " # 12.71 : Demand for UK bills in US\n", " model.add('BdUSUK = VUS*(lambda50 - lambda51*RUS + lambda52*(RUK + DXREUK))')\n", " model.add('HdUS = VUS - BdUSUS - BdUSUK') # 12.72 : Demand for money in US\n", "\n", " # Asset Supplies\n", " # --------------\n", " model.add('HsUS = HdUS') # 12.77 : Supply of cash in US\n", " model.add('BsUSUS = BdUSUS') # 12.78 : Supply of US bills to US\n", " model.add('BcbsUSUS = BcbdUSUS') # 12.79 : Supply of US bills to US central bank\n", " model.add('HsUK = HdUK') # 12.80 : Supply of cash in UK\n", " model.add('BsUKUK = BdUKUK') # 12.81 : Bills issued by UK acquired by UK\n", " model.add('BcbsUKUK = BcbdUKUK') # 12.82 : Supply of UK bills to UK central bank\n", " # model.add('BcbsUKUK = BsUK - BsUKUK - BsUSUK')\n", " # 12.83 : Balance sheet of US central bank\n", " model.add('BcbdUSUS = BcbdUSUS(-1) + d(HsUS) - d(ORUS)*PGUS ')\n", " # 12.84 : Balance sheet of UK central bank\n", " model.add('BcbdUKUK = BcbdUKUK(-1) + d(HsUK) - d(BcbsUKUS)*XRUS - d(ORUK)*PGUK')\n", " model.add('PGUK = PGUS/XRUK') # 12.85 : Price of gold is equal in US and UK\n", " model.add('XRUS = 1/XRUK') # 12.86 : US exchange rate\n", " model.add('BsUSUK = BdUSUK*XRUS') # 12.87 : Equilibrium condition for bills issued by UK acquired by US\n", " model.add('BcbdUKUS = BcbsUKUS*XRUS') # 12.88 : Equilibrium conditioin for bills issued by US acquired by UK central bank\n", " # 12.89FL : UK Exchange rate\n", " model.add('XRUK = BsUKUS/BdUKUS') # 12.89FL : \n", " # 12.90FL: Supply of UK bills to US\n", " model.add('BsUKUS = BsUS - BsUSUS - BcbdUSUS - BcbsUKUS')\n", " # 12.90F : Supply of UK bills to us\n", " # model.add('BcbsUKUS = BsUS - BsUSUS - BcbdUSUS - BsUKUS') \n", " # Government deficits in the UK\n", " model.add('PSBRUK = GUK + RUK(-1)*BsUK(-1) - TUK - FcbUK')\n", " # Government deficits in the US\n", " model.add('PSBRUS = GUS + RUS(-1)*BsUS(-1) - TUS - FcbUS')\n", " model.add('NAFAUK = PSBRUK + CABUK') # Net accumulation of financial assets in the UK\n", " model.add('NAFAUS = PSBRUS + CABUS') # Net accumulation of financial assets in the US\n", "\n", " return model\n", "\n", "openflex_parameters = {'alpha1UK': 0.75,\n", " 'alpha1US': 0.75,\n", " 'alpha2UK': 0.13333,\n", " 'alpha2US': 0.13333,\n", " 'eps0': -2.1,\n", " 'eps1': 0.7,\n", " 'eps2': 1,\n", " 'lambda10': 0.7,\n", " 'lambda11': 5,\n", " 'lambda12': 5,\n", " 'lambda20': 0.25,\n", " 'lambda21': 5,\n", " 'lambda22': 5,\n", " 'lambda40': 0.7,\n", " 'lambda41': 5,\n", " 'lambda42': 5,\n", " 'lambda50': 0.25,\n", " 'lambda51': 5,\n", " 'lambda52': 5,\n", " 'mu0': -2.1,\n", " 'mu1': 0.7,\n", " 'mu2': 1,\n", " 'nu0m': -0.00001,\n", " 'nu0x': -0.00001,\n", " 'nu1m': 0.7,\n", " 'nu1x': 0.5,\n", " 'phiUK': 0.2381,\n", " 'phiUS': 0.2381,\n", " 'thetaUK': 0.2,\n", " 'thetaUS': 0.2,\n", " }\n", "\n", "openflex_exogenous = {'BcbsUKUS': 0.02031,\n", " 'DXREUS': 0,\n", " 'GkUK': 16,\n", " 'GkUS': 16,\n", " 'ORUK': 7,\n", " 'PGUS': 1,\n", " 'PRUK': 1.3333,\n", " 'PRUS': 1.3333,\n", " 'RUK': 0.03,\n", " 'RUS': 0.03,\n", " 'WUK': 1,\n", " 'WUS': 1,\n", " 'BcbdUKUK': 0.27984,\n", " 'BcbsUKUK': 0.27984,\n", " 'BcbdUKUS': 0.0203,\n", " 'BcbdUSUS': 0.29843,\n", " 'BcbsUSUS': 0.29843,\n", " 'BsUK': 138.94,\n", " 'BdUKUK': 102.18,\n", " 'BsUKUK': 102.18,\n", " 'BdUKUS': 36.493,\n", " 'BsUKUS': 36.504,\n", " 'BsUS': 139.02,\n", " 'BdUSUK': 36.497,\n", " 'BsUSUK': 36.487,\n", " 'BdUSUS': 102.19,\n", " 'BsUSUS': 102.19,\n", " 'HdUK': 7.2987,\n", " 'HsUK': 7.2987,\n", " 'HdUS': 7.2995,\n", " 'HsUS': 7.2995,\n", " 'ORUS': 7,\n", " 'VkUK': 152.62,\n", " 'VkUS': 152.63,\n", " 'VUK': 145.97,\n", " 'VUS': 145.99001,\n", " 'CkUK': 81.393,\n", " 'CkUS': 81.401,\n", " 'CABUK': 0,\n", " 'CABUS': 0,\n", " 'CONSUK': 77.851,\n", " 'CONSUS': 77.86,\n", " 'DSkUK': 97.393,\n", " 'DSkUS': 97.401,\n", " 'DSUK': 93.154,\n", " 'DSUS': 93.164,\n", " 'DXREUK': 0,\n", " 'FcbUK': 0.00869,\n", " 'FcbUS': 0.00895,\n", " 'GUK': 15.304,\n", " 'GUS': 15.304,\n", " 'IMkUK': 11.928,\n", " 'IMkUS': 11.926,\n", " 'IMUK': 11.407,\n", " 'IMUS': 11.409,\n", " 'KABPUK': 0.00002,\n", " 'KABPUS': -0.00002,\n", " 'NUK': 73.046,\n", " 'NUS': 73.054,\n", " 'PDSUK': 0.95648,\n", " 'PDSUS': 0.95649,\n", " 'PGUK': 0.99971,\n", " 'PMUK': 0.95628,\n", " 'PMUS': 0.95661,\n", " 'PSUK': 0.95646,\n", " 'PSUS': .9565,\n", " 'PXUK': 0.95634,\n", " 'PXUS': 0.95656,\n", " 'PYUK': 0.95648,\n", " 'PYUS': 0.95649,\n", " 'SkUK': 109.32,\n", " 'SkUS': 109.33,\n", " 'SUK': 104.56,\n", " 'SUS': 104.57,\n", " 'TUK': 19.463,\n", " 'TUS': 19.465,\n", " 'XkUK': 11.926,\n", " 'XkUS': 11.928,\n", " 'XUK': 11.406,\n", " 'XUS': 11.41,\n", " 'XRUK': 1.0003,\n", " 'XRUS': 0.99971,\n", " 'XREUK': 1.0003,\n", " 'XREUS': 0.99971,\n", " 'YkUK': 97.392,\n", " 'YkUS': 97.403,\n", " 'YUK': 93.154,\n", " 'YUS': 93.164,\n", " 'YDrUK': 77.851,\n", " 'YDrUS': 77.86,\n", " 'YDhskUK': 81.394,\n", " 'YDhskUS': 81.402,\n", " 'YDhsekUK': 81.394,\n", " 'YDhsekUS': 81.402,\n", " }\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scenario: Model OPENFLEX, baseline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "baseline = create_openflex_model()\n", "baseline.set_values(openflex_parameters)\n", "baseline.set_values(openflex_exogenous)\n", "\n", "# To get the model to converge, I use a different method for solving the set of equations.\n", "for i in range(100):\n", " baseline.solve(iterations=200, threshold=1e-4, method='broyden')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scenario: Model OPENFLEX, decrease in UK propensity to export" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "eps0 = create_openflex_model()\n", "eps0.set_values(openflex_parameters)\n", "eps0.set_values(openflex_exogenous)\n", "\n", "for _ in range(10):\n", " eps0.solve(iterations=200, threshold=1e-4, method='broyden')\n", "\n", "eps0.set_values({'eps0': -2.2})\n", "\n", "for _ in range(90):\n", " eps0.solve(iterations=200, threshold=1e-4, method='broyden')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.5A" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.5A Effect of an decrease in the UK propensity to export, within a\n", " flexible exchange rate regime, on various UK variables: current account balance,\n", " trade balance and government budget deficit.'''\n", "cabdata = [s['CABUK'] for s in eps0.solutions[5:]]\n", "xidata = [s['XUK'] - s['IMUK'] for s in eps0.solutions[5:]]\n", "psbrdata = [s['PSBRUK'] for s in eps0.solutions[5:]]\n", "\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(cabdata, linestyle='-', color='b')\n", "axes.plot(xidata, linestyle='--', linewidth=2, color='g')\n", "axes.plot(psbrdata, linestyle=':', linewidth=2, color='r')\n", "\n", "# add labels\n", "plt.text(18, -0.5, 'UK current account balance')\n", "plt.text(15, 0, 'UK trade balance')\n", "plt.text(6, 0.35, 'UK budget deficit')\n", "fig.text(0.1, -.15, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.5B" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.5B Effect of the sterling exchange rate of a decrease in the\n", " UK propensity to export, within a flexible exchange rate regime.'''\n", "xrdata = [s['XRUK'] for s in eps0.solutions[5:]]\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(xrdata, linestyle='-', color='b')\n", "\n", "# add labels\n", "plt.text(21, 0.9, 'UK currency in dollars')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.5C" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.5C Effect of a decrease in the UK propensity to export, within a\n", " flexible exchange rate regime, on various UK price indices: export prices,\n", " import prices and domestic sales prices.'''\n", "pxdata = [s['PXUK'] for s in eps0.solutions[5:]]\n", "pmdata = [s['PMUK'] for s in eps0.solutions[5:]]\n", "pdsdata = [s['PDSUK'] for s in eps0.solutions[5:]]\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(0.95, 1.16)\n", "\n", "axes.plot(pxdata, linestyle='-', color='b')\n", "axes.plot(pmdata, linestyle='--', linewidth=2, color='g')\n", "axes.plot(pdsdata, linestyle=':', linewidth=2, color='r')\n", "\n", "# add labels\n", "plt.text(40, 1.03, 'Price of UK exports')\n", "plt.text(20, 1.10, 'Price of UK imports')\n", "plt.text(40, 0.97, 'Price of UK domestic sales')\n", "fig.text(0.1, -.1, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.5D" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.5D Effect of a decrease in the UK propensity to export, within a\n", " flexible exchange rate regime, on the UK and US real GDP.'''\n", "ukdata = [s['YkUK'] for s in eps0.solutions[5:]]\n", "usdata = [s['YkUS'] for s in eps0.solutions[5:]]\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(ukdata, linestyle='-', color='b')\n", "axes.plot(usdata, linestyle='--', linewidth=2, color='g')\n", "\n", "# add labels\n", "plt.text(15, 96, 'UK real GDP')\n", "plt.text(15, 98.7, 'US real GDP')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scenario: Model OPENFLEX, increase US real government expenditure" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "gkus = create_openflex_model()\n", "gkus.set_values(openflex_parameters)\n", "gkus.set_values(openflex_exogenous)\n", "\n", "for _ in range(10):\n", " gkus.solve(iterations=200, threshold=1e-4, method='broyden')\n", "\n", "gkus.set_values({'GkUS': 18})\n", "\n", "for _ in range(90):\n", " gkus.solve(iterations=200, threshold=1e-4, method='broyden')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.6A" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.6A Effect of a step increase in real US government expenditures, within\n", " a flexible exchange rate regime, on the US and UK real GDP.'''\n", "ukdata = [s['YkUK'] for s in gkus.solutions[5:]]\n", "usdata = [s['YkUS'] for s in gkus.solutions[5:]]\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(ukdata, linestyle='-', color='b')\n", "axes.plot(usdata, linestyle='--', linewidth=2, color='g')\n", "\n", "# add labels\n", "plt.text(25, 98, 'UK real output')\n", "plt.text(25, 106, 'US real output')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.6B" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.6B Effect of a step increase in real US government expenditures, within a\n", " flexible exchange rate regime, on the main US balances, net accumulation of financial\n", " assets, government budget deficit, and current account balance.'''\n", "nafadata = [s['NAFAUS'] for s in gkus.solutions[5:]]\n", "cabdata = [s['CABUS'] for s in gkus.solutions[5:]]\n", "psbrdata = [s['PSBRUS'] for s in gkus.solutions[5:]]\n", "\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(nafadata, linestyle='-', color='b')\n", "axes.plot(cabdata, linestyle='--', linewidth=2, color='g')\n", "axes.plot(psbrdata, linestyle=':', linewidth=2, color='r')\n", "\n", "# add labels\n", "plt.text(7, 0.25, 'NAFA')\n", "plt.text(7, 0.15, 'in the US')\n", "plt.text(40, -0.3, 'US current account balance')\n", "plt.text(20, 0.6, 'US government budget deficit')\n", "fig.text(0.1, -.1, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.6C" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.6C Effect of a step increase in real US government expenditures, within a\n", " flexible exchange rate regime, on the share of the wealth of UK residents held in the\n", " form of US Treasury bills, when denominated in dollars and then in sterling.'''\n", "dollardata = [(s['BdUKUS']/s['XRUS'])/s['VUK'] for s in gkus.solutions[5:]]\n", "pounddata = [s['BdUKUS']/s['VUK'] for s in gkus.solutions[5:]]\n", "\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(0.24, 0.33)\n", "\n", "axes.plot(dollardata, linestyle='-', color='b')\n", "axes.plot(pounddata, linestyle='--', linewidth=2, color='g')\n", "\n", "# add labels\n", "plt.text(20, 0.31, 'US Treasury bills held by UK residents')\n", "plt.text(20, 0.306, '(denominated in dollars)')\n", "plt.text(20, 0.302, 'as share of the wealth')\n", "plt.text(20, 0.298, 'of UK residents')\n", "plt.text(40, 0.264, 'US Treasury bills held by UK residents')\n", "plt.text(40, 0.260, '(denomiated in sterling)')\n", "plt.text(40, 0.256, 'as share of the wealth of US residents')\n", "fig.text(0.1, -.1, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.6D" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.6D Effect on the dollar exchange rate of a step increase in the US\n", " government expenditures, within a flexible rate regime.'''\n", "data = [s['XRUS'] for s in gkus.solutions[5:]]\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(0.75, 1.05)\n", "\n", "axes.plot(data, linestyle='-', color='b')\n", "\n", "# add labels\n", "plt.text(24, 0.95, 'Dollar exchange rate')\n", "plt.text(24, 0.935, u'(value of the dollar in sterling (\\u00a3) units)')\n", "fig.text(0.1, -.1, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scenario: Model OPENFLEX, increase desirability of US bills" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "lambdaX = create_openflex_model()\n", "lambdaX.set_values(openflex_parameters)\n", "lambdaX.set_values(openflex_exogenous)\n", "\n", "for _ in range(10):\n", " lambdaX.solve(iterations=200, threshold=1e-4, method='broyden')\n", "\n", "lambdaX.set_values({'lambda20': 0.30, 'lambda40': 0.75})\n", "\n", "for _ in range(90):\n", " lambdaX.solve(iterations=200, threshold=1e-4, method='broyden')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.7A" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.7A Effect on the dollar exchange rate of an increase in the desire to\n", " hold US Treasury bills, within a flexible exchange rate regime.'''\n", "data = [s['XRUS'] for s in lambdaX.solutions[5:]]\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(24, 1.05, 'Dollar exchange rate')\n", "plt.text(24, 1.04, '(value of the dollar in sterling units)')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.7B" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.7B Effect of an increase in the desire to hold US Treasury bills,\n", " within a flexible exchange rate regime, on the share of the wealth of UK\n", " residents held in the form of US Treasury bills, when denomiated in dollars\n", " and then in sterling.'''\n", "dollardata = [(s['BdUKUS']/s['XRUS'])/s['VUK'] for s in lambdaX.solutions[5:]]\n", "pounddata = [s['BdUKUS']/s['VUK'] for s in lambdaX.solutions[5:]]\n", "\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(0.24, 0.33)\n", "\n", "axes.plot(dollardata, linestyle='-', color='b')\n", "axes.plot(pounddata, linestyle='--', linewidth=2, color='g')\n", "\n", "# add labels\n", "plt.text(12, 0.32, 'US Treasury bills held by UK residents')\n", "plt.text(12, 0.316, '(denominated in dollars)')\n", "plt.text(12, 0.312, 'as share of the wealth')\n", "plt.text(12, 0.308, 'of UK residents')\n", "plt.text(50, 0.294, 'US Treasury bills held by UK residents')\n", "plt.text(50, 0.290, '(denomiated in sterling)')\n", "plt.text(50, 0.286, 'as share of the wealth of US residents')\n", "fig.text(0.1, -.15, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.7C" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.7C Effect of UK and US real GDP of an increase in the desire to hold US\n", " Treasury bills, within a flexible rate regime.'''\n", "ukdata = [s['YkUK'] for s in lambdaX.solutions[5:]]\n", "usdata = [s['YkUS'] for s in lambdaX.solutions[5:]]\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(ukdata, linestyle='-', color='b')\n", "axes.plot(usdata, linestyle='--', linewidth=2, color='g')\n", "\n", "# add labels\n", "plt.text(10, 101, 'UK real output')\n", "plt.text(10, 94, 'US real output')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 12.7D" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 12.7D Effect of an increase in the desire to hold US Treasury bills, within a\n", " flexible exchange rate regime, on various US variables: net accumulation of financial\n", " assets, government budget deficit, current account balance and trade balance.'''\n", "nafadata = [s['NAFAUS'] for s in lambdaX.solutions[5:]]\n", "cabdata = [s['CABUS'] for s in lambdaX.solutions[5:]]\n", "xidata = [s['XUS'] - s['IMUS'] for s in lambdaX.solutions[5:]]\n", "psbrdata = [s['PSBRUS'] for s in lambdaX.solutions[5:]]\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(nafadata, linestyle='-', color='b')\n", "axes.plot(cabdata, linestyle='--', linewidth=2, color='g')\n", "axes.plot(xidata, linestyle=':', linewidth=2, color='r')\n", "axes.plot(psbrdata, linestyle='-.', linewidth=2, color='b')\n", "\n", "# add labels\n", "plt.text(10, 0.24, 'NAFA')\n", "plt.text(10, 0.17, 'in the US')\n", "plt.text(22, -0.4, 'US current account balance')\n", "plt.text(60, 0.28, 'US trade balance')\n", "plt.text(8, 0.8, 'US government budget deficit')\n", "fig.text(0.1, -.1, 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 }