{ "cells": [ { "cell_type": "markdown", "id": "4e88a055", "metadata": {}, "source": [ "# Model LP2" ] }, { "cell_type": "markdown", "id": "9651099e", "metadata": {}, "source": [ "Model LP2 extends [Model LP](GL06LP.ipynb) from Chapter 5 of {cite:t}`GodleyLavoie2006MonetaryEconomicsIntegrated` by making bond prices **endogenous** through a target-proportion mechanism and replacing static bond-price expectations with adaptive expectations. In all other respects, LP2 inherits the equations of LP unchanged." ] }, { "cell_type": "markdown", "id": "09057086", "metadata": {}, "source": [ "## Module Contents\n", "\n", "As with all `MacroStat` models, LP2 is divided into Variables, Parameters (fixed constants), Scenarios, and the Behavior (model initialization and steps). The module-level documentation can be seen in:" ] }, { "cell_type": "markdown", "id": "52d64a2c", "metadata": {}, "source": [ "```{eval-rst}\n", ".. toctree::\n", " :maxdepth: 2\n", "\n", " Variables \n", " Parameters \n", " Equations \n", " Scenarios \n", "```" ] }, { "cell_type": "markdown", "id": "40ca19c1", "metadata": {}, "source": [ "The remainder of this page gives an introduction to the model, notes on how it is implemented in `MacroStat` and then shows some of the model dynamics by replicating the relevant graphs of Godley and Lavoie (2006)." ] }, { "cell_type": "markdown", "id": "25300245", "metadata": {}, "source": [ "## Model Overview" ] }, { "cell_type": "markdown", "id": "dbcf822a", "metadata": {}, "source": [ "### Behavioral Equations" ] }, { "cell_type": "markdown", "id": "c5c133f9", "metadata": {}, "source": [ "Model LP2 inherits equations 1–9 and 13–20 unchanged from [Model LP](GL06LP.ipynb). The static-expectations equation ($p_{bl}^e = p_{bl}$, equation 10 in LP) is replaced by two new equations that make bond prices **endogenous** and expectations **adaptive**.\n", "\n", "**New equation 10a — Target Proportion:**\n", "```{math}\n", ":label: gl06_lp2_eq10a_targetProportion\n", "TP(t) = \\frac{BL_h(t-1) \\cdot p_{bl}(t-1)}\n", " {BL_h(t-1) \\cdot p_{bl}(t-1) + B_h(t-1)}\n", "```\n", "**New equation 10b — Endogenous Bond Price:**\n", "```{math}\n", ":label: gl06_lp2_eq10b_bondPrice\n", "z_1 = 1 \\text{ iff } TP > \\text{top}, \\quad z_2 = 1 \\text{ iff } TP < \\text{bot}\n", "```\n", "```{math}\n", ":label: gl06_lp2_eq10c_bondPriceAdj\n", "p_{bl}(t) = (1 + z_1 \\cdot \\beta - z_2 \\cdot \\beta) \\cdot p_{bl}(t-1)\n", "```\n", "**New equation 10d — Adaptive Expectations:**\n", "```{math}\n", ":label: gl06_lp2_eq10d_adaptiveExp\n", "p_{bl}^e(t) = p_{bl}^e(t-1) - \\beta_e \\cdot \\left(p_{bl}^e(t-1) - p_{bl}(t)\\right)\n", "```\n", "\n", "With adaptive expectations, the expected capital gain $\\chi \\cdot (p_{bl}^e - p_{bl})/p_{bl}$ in the expected return on bonds $ERr_{bl}$ is no longer zero at each period, generating richer portfolio dynamics than in LP." ] }, { "cell_type": "markdown", "id": "fc12d606", "metadata": {}, "source": [ "### Transaction Flow Matrix\n", "\n", "```{csv-table} Accounting Transaction Matrix for Model LP2\n", ":file: GL06LP2/transaction_matrix.csv\n", ":header-rows: 2\n", ":stub-columns: 1\n", "```" ] }, { "cell_type": "markdown", "id": "c13ddaad", "metadata": {}, "source": [ "### Balance Sheet Matrix\n", "\n", "```{csv-table} Balance Sheet for Model LP2\n", ":file: GL06LP2/balance_sheet.csv\n", ":header-rows: 2\n", ":stub-columns: 1\n", "```" ] }, { "cell_type": "markdown", "id": "43fcab02", "metadata": {}, "source": [ "## Implementation in MacroStat" ] }, { "cell_type": "markdown", "id": "4002ba62", "metadata": {}, "source": [ "Transposing these equations to the `MacroStat` framework, we consider that there are:\n", "\n", "1. **Sixteen parameters** (fixed constants): $\\alpha_1$, $\\alpha_2$, $\\theta$, $\\chi$, the eight $\\lambda$ portfolio coefficients, $\\beta$ (bond price adjustment step), $\\beta_e$ (expectation adjustment speed), $\\text{top}$ (upper target proportion bound), and $\\text{bot}$ (lower target proportion bound) (see [Parameters](GL06LP2/parameters.rst))\n", "2. **Two scenario variables**: $G(t)$ and $r_b(t)$ — bond prices are now **endogenous** (see [Scenarios](GL06LP2/scenarios.rst))\n", "3. The remaining tracked series are variables — including the new `TargetProportion` and `ExpectedBondPrice` (see [Variables](GL06LP2/variables.rst))" ] }, { "cell_type": "markdown", "id": "2e47cb86", "metadata": {}, "source": [ "## Model Dynamics" ] }, { "cell_type": "markdown", "id": "e8880449", "metadata": {}, "source": [ "### Preparatory Steps" ] }, { "cell_type": "code", "execution_count": 1, "id": "de3eb491", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import importlib\n", "import logging\n", "import sys\n", "\n", "# Import the necessary libraries for plotting\n", "from matplotlib import pyplot as plt\n", "from matplotlib.ticker import PercentFormatter\n", "\n", "# Import the MacroStat model components\n", "from macrostat.models.GL06LP2 import GL06LP2, ParametersGL06LP2, ScenariosGL06LP2\n", "\n", "# Custom matplotlib style for the documentation\n", "plt.style.use(\"../../macrostat.mplstyle\")\n", "# We show the logging output in the notebook\n", "importlib.reload(logging)\n", "logging.basicConfig(stream=sys.stdout, level=logging.INFO)" ] }, { "cell_type": "markdown", "id": "83ba5903", "metadata": {}, "source": [ "### Running the Simulation" ] }, { "cell_type": "markdown", "id": "26f3d687", "metadata": {}, "source": [ "First, we run the model without any shocks to see the convergence to the steady state." ] }, { "cell_type": "code", "execution_count": 2, "id": "6fe9ea77", "metadata": {}, "outputs": [], "source": [ "params = ParametersGL06LP2()\n", "model = GL06LP2(parameters=params)\n", "model.simulate()\n", "output = model.variables.to_pandas()" ] }, { "cell_type": "markdown", "id": "b6a1a938", "metadata": {}, "source": [ "We can check that the variables are healthy, meaning the redundant equation $H_h = H_s$ holds and all stocks are positive.\n", "\n", ":::{Note}\n", "Due to floating point precision, the redundant equation will not hold exactly. We check that the absolute percentage error is below a tolerance.\n", ":::" ] }, { "cell_type": "code", "execution_count": 3, "id": "e7b62972", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.variables.check_health(tolerance=1e-3)" ] }, { "cell_type": "markdown", "id": "2d9c501b", "metadata": {}, "source": [ "An overview of the first 10 steps of the model:" ] }, { "cell_type": "code", "execution_count": 4, "id": "1d02b0d9", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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ConsumptionHouseholdHousehold0.00.00.00000016.12400129.12317140.02552049.15505256.80038163.20278268.564339
ConsumptionGovernmentGovernment0.00.020.00000020.00000020.00000020.00000020.00000020.00000020.00000020.000000
NationalIncomeMacroeconomy0.00.020.00000036.12400149.12316960.02552069.15505276.80038583.20278288.564339
TaxesHousehold0.00.03.8760007.0008329.62161411.81623613.65407215.19312716.48197717.561300
InterestOnBillsHouseholdHousehold0.00.00.0000000.0000000.1893070.3426000.4713160.5791040.6693390.744877
BondCouponIncomeHouseholdHousehold0.00.00.0000000.0000000.3346540.6031680.8280821.0164201.1741951.306373
CentralBankProfitsCentralBank0.00.00.0000000.4837200.4915460.5105960.5261610.5392050.5501260.559269
CapitalGainsHousehold0.00.0-0.000000-0.0000000.0000000.0000000.0000000.0000000.0000000.000000
ExpectedCapitalGainsHousehold0.00.00.0000000.0099060.0089270.0061280.0037610.0021720.0012080.000655
WealthHousehold0.00.016.12400129.12316940.02552049.15505256.80037763.20277868.56433973.054283
HouseholdBillStockHousehold0.00.00.0000006.31024611.42000515.71054319.30347322.31130224.82922626.937166
GovernmentBillStockGovernment0.00.016.12400122.69512728.43987133.24924137.27698140.64883443.47151245.834629
CentralBankBillStockCentralBank0.00.016.12400116.38488017.01986717.53869817.97350918.33753218.64228618.897463
HouseholdBondStockHousehold0.00.00.0000000.3346540.6031680.8280821.0164201.1741951.3063731.417100
GovernmentBondSupplyGovernment0.00.00.0000000.3346540.6031680.8280821.0164201.1741951.3063731.417100
HouseholdCashStockHousehold0.00.016.12400116.38488217.01987117.53870817.97351518.33754018.64230018.897470
CentralBankMoneyStockCentralBank0.00.016.12400116.38488017.01986717.53869617.97350918.33753418.64228818.897463
DisposableIncomeHousehold0.00.016.12400129.12316940.02552049.15505256.80038163.20278268.56433973.054283
ExpectedDisposableIncomeHousehold0.00.00.00000016.12400129.12316940.02552049.15505256.80038163.20278268.564339
ExpectedWealthHousehold0.00.00.00000016.12400129.12316740.02552049.15505256.80037363.20278268.564339
HouseholdBillDemandHousehold0.00.00.0000006.31024611.42000515.71054319.30347322.31130224.82922626.937166
HouseholdBondDemandHousehold0.00.00.0000000.3346540.6031680.8280821.0164201.1741951.3063731.417100
HouseholdCashDemandHousehold0.00.00.0000003.3857136.1175208.40917510.32819211.93513513.28074314.407526
InterestRateBillsMacroeconomy0.00.00.0300000.0300000.0300000.0300000.0300000.0300000.0300000.030000
BondPriceMacroeconomy20.020.019.60000019.20800019.20800019.20800019.20800019.20800019.20800019.208000
BondYieldMacroeconomy0.00.00.0510200.0520620.0520620.0520620.0520620.0520620.0520620.052062
ExpectedBondPriceHousehold20.020.019.79999919.50400019.35599919.28200019.24499919.22650019.21725119.212626
ExpectedReturnOnBondsHousehold0.00.00.0520410.0536030.0528320.0524470.0522540.0521580.0521100.052086
TargetProportionGovernment0.00.00.0000000.0000000.5046240.5036000.5030880.5028320.5027040.502640
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" ], "text/plain": [ "time 0 1 2 3 \\\n", "ConsumptionHousehold Household 0.0 0.0 0.000000 16.124001 \n", "ConsumptionGovernment Government 0.0 0.0 20.000000 20.000000 \n", "NationalIncome Macroeconomy 0.0 0.0 20.000000 36.124001 \n", "Taxes Household 0.0 0.0 3.876000 7.000832 \n", "InterestOnBillsHousehold Household 0.0 0.0 0.000000 0.000000 \n", "BondCouponIncomeHousehold Household 0.0 0.0 0.000000 0.000000 \n", "CentralBankProfits CentralBank 0.0 0.0 0.000000 0.483720 \n", "CapitalGains Household 0.0 0.0 -0.000000 -0.000000 \n", "ExpectedCapitalGains Household 0.0 0.0 0.000000 0.009906 \n", "Wealth Household 0.0 0.0 16.124001 29.123169 \n", "HouseholdBillStock Household 0.0 0.0 0.000000 6.310246 \n", "GovernmentBillStock Government 0.0 0.0 16.124001 22.695127 \n", "CentralBankBillStock CentralBank 0.0 0.0 16.124001 16.384880 \n", "HouseholdBondStock Household 0.0 0.0 0.000000 0.334654 \n", "GovernmentBondSupply Government 0.0 0.0 0.000000 0.334654 \n", "HouseholdCashStock Household 0.0 0.0 16.124001 16.384882 \n", "CentralBankMoneyStock CentralBank 0.0 0.0 16.124001 16.384880 \n", "DisposableIncome Household 0.0 0.0 16.124001 29.123169 \n", "ExpectedDisposableIncome Household 0.0 0.0 0.000000 16.124001 \n", "ExpectedWealth Household 0.0 0.0 0.000000 16.124001 \n", "HouseholdBillDemand Household 0.0 0.0 0.000000 6.310246 \n", "HouseholdBondDemand Household 0.0 0.0 0.000000 0.334654 \n", "HouseholdCashDemand Household 0.0 0.0 0.000000 3.385713 \n", "InterestRateBills Macroeconomy 0.0 0.0 0.030000 0.030000 \n", "BondPrice Macroeconomy 20.0 20.0 19.600000 19.208000 \n", "BondYield Macroeconomy 0.0 0.0 0.051020 0.052062 \n", "ExpectedBondPrice Household 20.0 20.0 19.799999 19.504000 \n", "ExpectedReturnOnBonds Household 0.0 0.0 0.052041 0.053603 \n", "TargetProportion Government 0.0 0.0 0.000000 0.000000 \n", "\n", "time 4 5 6 \\\n", "ConsumptionHousehold Household 29.123171 40.025520 49.155052 \n", "ConsumptionGovernment Government 20.000000 20.000000 20.000000 \n", "NationalIncome Macroeconomy 49.123169 60.025520 69.155052 \n", "Taxes Household 9.621614 11.816236 13.654072 \n", "InterestOnBillsHousehold Household 0.189307 0.342600 0.471316 \n", "BondCouponIncomeHousehold Household 0.334654 0.603168 0.828082 \n", "CentralBankProfits CentralBank 0.491546 0.510596 0.526161 \n", "CapitalGains Household 0.000000 0.000000 0.000000 \n", "ExpectedCapitalGains Household 0.008927 0.006128 0.003761 \n", "Wealth Household 40.025520 49.155052 56.800377 \n", "HouseholdBillStock Household 11.420005 15.710543 19.303473 \n", "GovernmentBillStock Government 28.439871 33.249241 37.276981 \n", "CentralBankBillStock CentralBank 17.019867 17.538698 17.973509 \n", "HouseholdBondStock Household 0.603168 0.828082 1.016420 \n", "GovernmentBondSupply Government 0.603168 0.828082 1.016420 \n", "HouseholdCashStock Household 17.019871 17.538708 17.973515 \n", "CentralBankMoneyStock CentralBank 17.019867 17.538696 17.973509 \n", "DisposableIncome Household 40.025520 49.155052 56.800381 \n", "ExpectedDisposableIncome Household 29.123169 40.025520 49.155052 \n", "ExpectedWealth Household 29.123167 40.025520 49.155052 \n", "HouseholdBillDemand Household 11.420005 15.710543 19.303473 \n", "HouseholdBondDemand Household 0.603168 0.828082 1.016420 \n", "HouseholdCashDemand Household 6.117520 8.409175 10.328192 \n", "InterestRateBills Macroeconomy 0.030000 0.030000 0.030000 \n", "BondPrice Macroeconomy 19.208000 19.208000 19.208000 \n", "BondYield Macroeconomy 0.052062 0.052062 0.052062 \n", "ExpectedBondPrice Household 19.355999 19.282000 19.244999 \n", "ExpectedReturnOnBonds Household 0.052832 0.052447 0.052254 \n", "TargetProportion Government 0.504624 0.503600 0.503088 \n", "\n", "time 7 8 9 \n", "ConsumptionHousehold Household 56.800381 63.202782 68.564339 \n", "ConsumptionGovernment Government 20.000000 20.000000 20.000000 \n", "NationalIncome Macroeconomy 76.800385 83.202782 88.564339 \n", "Taxes Household 15.193127 16.481977 17.561300 \n", "InterestOnBillsHousehold Household 0.579104 0.669339 0.744877 \n", "BondCouponIncomeHousehold Household 1.016420 1.174195 1.306373 \n", "CentralBankProfits CentralBank 0.539205 0.550126 0.559269 \n", "CapitalGains Household 0.000000 0.000000 0.000000 \n", "ExpectedCapitalGains Household 0.002172 0.001208 0.000655 \n", "Wealth Household 63.202778 68.564339 73.054283 \n", "HouseholdBillStock Household 22.311302 24.829226 26.937166 \n", "GovernmentBillStock Government 40.648834 43.471512 45.834629 \n", "CentralBankBillStock CentralBank 18.337532 18.642286 18.897463 \n", "HouseholdBondStock Household 1.174195 1.306373 1.417100 \n", "GovernmentBondSupply Government 1.174195 1.306373 1.417100 \n", "HouseholdCashStock Household 18.337540 18.642300 18.897470 \n", "CentralBankMoneyStock CentralBank 18.337534 18.642288 18.897463 \n", "DisposableIncome Household 63.202782 68.564339 73.054283 \n", "ExpectedDisposableIncome Household 56.800381 63.202782 68.564339 \n", "ExpectedWealth Household 56.800373 63.202782 68.564339 \n", "HouseholdBillDemand Household 22.311302 24.829226 26.937166 \n", "HouseholdBondDemand Household 1.174195 1.306373 1.417100 \n", "HouseholdCashDemand Household 11.935135 13.280743 14.407526 \n", "InterestRateBills Macroeconomy 0.030000 0.030000 0.030000 \n", "BondPrice Macroeconomy 19.208000 19.208000 19.208000 \n", "BondYield Macroeconomy 0.052062 0.052062 0.052062 \n", "ExpectedBondPrice Household 19.226500 19.217251 19.212626 \n", "ExpectedReturnOnBonds Household 0.052158 0.052110 0.052086 \n", "TargetProportion Government 0.502832 0.502704 0.502640 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = model.variables.to_pandas()\n", "df.head(10).T" ] }, { "cell_type": "markdown", "id": "59168586", "metadata": {}, "source": [ "### Convergence to the Steady State" ] }, { "cell_type": "markdown", "id": "20390e30", "metadata": {}, "source": [ "In the steady state of Model LP2, the target proportion $TP$ stabilises within the band $[\\text{bot}, \\text{top}]$ and bond prices stop adjusting. Adaptive expectations converge to the actual bond price, so $p_{bl}^e \\to p_{bl}$, and capital gains vanish in the long run.\n", "\n", "The convergence is slower than in LP because of the expectation feedback, but the long-run steady state is qualitatively similar." ] }, { "cell_type": "code", "execution_count": 5, "id": "1b6ea9ad", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfo = output.loc[:50]\n", "\n", "fig, axs = plt.subplots(ncols=2, nrows=3, figsize=(8, 8))\n", "\n", "# National Income\n", "axs[0, 0].plot(dfo.index, dfo['NationalIncome'], color='k', label=r'National Income $Y$')\n", "axs[0, 0].legend(loc='upper center', bbox_to_anchor=(0.5, -0.1), frameon=False)\n", "axs[0, 0].set_title('National Income')\n", "\n", "# Consumption and Disposable Income\n", "axs[0, 1].plot(dfo.index, dfo['ConsumptionHousehold'], color='k', label=r'Consumption $C$')\n", "axs[0, 1].plot(dfo.index, dfo['DisposableIncome'], color='g', linestyle='-.', label=r'Disposable Income $YD_r$')\n", "axs[0, 1].legend(loc='upper center', bbox_to_anchor=(0.5, -0.1), frameon=False)\n", "axs[0, 1].set_title('Consumption')\n", "\n", "# Wealth\n", "axs[1, 0].plot(dfo.index, dfo['Wealth'], color='k', label=r'Wealth $V$')\n", "axs[1, 0].plot(dfo.index, dfo['ExpectedWealth'], color='g', linestyle='-.', label=r'Expected Wealth $V^e$')\n", "axs[1, 0].legend(loc='upper center', bbox_to_anchor=(0.5, -0.1), frameon=False)\n", "axs[1, 0].set_title('Wealth')\n", "\n", "# Savings\n", "axs[1, 1].plot(dfo.index, dfo['Wealth'].diff(), color='k', label=r'Savings, $\\Delta V$')\n", "axs[1, 1].axhline(y=0, color='r', linestyle='--', label=r'Steady State $\\Delta V^\\star=0$')\n", "axs[1, 1].legend(loc='upper center', bbox_to_anchor=(0.5, -0.1), frameon=False)\n", "axs[1, 1].set_title('Savings')\n", "\n", "# Portfolio Shares\n", "cash_share = output['HouseholdCashStock'] / output['Wealth']\n", "bill_share = output['HouseholdBillStock'] / output['Wealth']\n", "bond_share = (output['HouseholdBondStock'].mul(output[('BondPrice','Macroeconomy')], axis=0)) / output['Wealth']\n", "\n", "axs[2, 0].plot(output.index, cash_share, color='b', label='Cash $H_h/V$')\n", "axs[2, 0].plot(output.index, bill_share, color='k', label='Bills $B_h/V$')\n", "axs[2, 0].plot(output.index, bond_share, color='r', label='Bonds $p_{bl} BL_h/V$')\n", "axs[2, 0].legend(loc='center right', frameon=False)\n", "axs[2, 0].set_xlim(0, 50)\n", "axs[2, 0].set_title('Portfolio Shares')\n", "axs[2, 0].yaxis.set_major_formatter(PercentFormatter(1))\n", "\n", "# Bond Price and Target Proportion\n", "ax_bp = axs[2, 1]\n", "ax_tp = ax_bp.twinx()\n", "ax_bp.plot(dfo.index, dfo[('BondPrice', 'Macroeconomy')], color='b', label=r'Bond Price $p_{bl}$')\n", "ax_tp.plot(dfo.index, dfo['TargetProportion'], color='r', linestyle='--', label=r'Target Prop. $TP$')\n", "ax_bp.set_title('Bond Price & Target Proportion')\n", "ax_bp.legend(loc='upper left', frameon=False)\n", "ax_tp.legend(loc='lower right', frameon=False)\n", "ax_tp.yaxis.set_major_formatter(PercentFormatter(1))\n", "\n", "fig.suptitle('Figure LP2.1: Model convergence to the steady state')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b8cb42ff", "metadata": {}, "source": [ "### Perturbation 1: Rise in the Bill Rate (Section 5.8, first experiment)" ] }, { "cell_type": "markdown", "id": "5982a19a", "metadata": {}, "source": [ "Following Section 5.8 of {cite:t}`GodleyLavoie2006MonetaryEconomicsIntegrated`, we increase the interest rate on Treasury bills from 3% to 4%, but *without* changing the bond price exogenously (unlike Scenario 1 of LP). In LP2, the bond price adjusts endogenously through the target-proportion mechanism.\n", "\n", "When $r_b$ rises, bills become more attractive relative to bonds. Households shift their portfolio toward bills, which raises the target proportion $TP$ above the upper threshold. The Treasury responds by allowing bond prices to rise until $TP$ falls back into the target band. This is Figure 5.5 of Godley and Lavoie (2006)." ] }, { "cell_type": "code", "execution_count": 6, "id": "dbae27ad", "metadata": {}, "outputs": [], "source": [ "scenarios = ScenariosGL06LP2(parameters=params)\n", "sc1 = scenarios.get_scenario_index(\"Scenario.1: Rise in bill rate\")\n", "model1 = GL06LP2(parameters=params, scenarios=scenarios)\n", "model1.simulate(scenario=sc1)\n", "output_sc1 = model1.variables.to_pandas()" ] }, { "cell_type": "code", "execution_count": 10, "id": "62745c41", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trigger = params[\"scenario_trigger\"]\n", "dfo = output_sc1.loc[trigger - 2:]\n", "dfo_base = output.loc[trigger - 2:]\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "# Figure 5.5: Bond yield\n", "axes[0].plot(dfo_base.index, dfo_base['BondYield'], 'k--', label='Baseline')\n", "axes[0].plot(dfo.index, dfo['BondYield'], 'k-', label='Shock')\n", "axes[0].axvline(x=trigger, color='grey', linestyle=':', alpha=0.5)\n", "axes[0].set_title('Figure 5.5: Bond Yield $r_{bl}$')\n", "axes[0].set_xlabel('Period')\n", "axes[0].legend(frameon=False)\n", "\n", "# Bond Price\n", "axes[1].plot(dfo_base.index, dfo_base[('BondPrice','Macroeconomy')], 'b--', label='Bond Price (base)')\n", "axes[1].plot(dfo.index, dfo[('BondPrice','Macroeconomy')], 'b-', label='Bond Price (shock)')\n", "axes[1].axvline(x=trigger, color='grey', linestyle=':', alpha=0.5)\n", "axes[1].set_title('Bond Price $p_{bl}$')\n", "axes[1].set_xlabel('Period')\n", "axes[1].legend(frameon=False)\n", "\n", "fig.suptitle('Figure LP2.2: Rise in bill rate with endogenous bond price adjustment')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f63baeb8", "metadata": {}, "source": [ "### Perturbation 2: Anticipated Fall in Bond Prices (Section 5.8, second experiment)" ] }, { "cell_type": "markdown", "id": "35512a8b", "metadata": {}, "source": [ "In this experiment, households form a one-period expectation of a fall in the bond price by 1 unit (via an `ExpectedBondPriceShock` of $-1$). The lower expected bond price reduces the expected return on bonds, causing households to demand fewer bonds and more bills and cash.\n", "\n", "With adaptive expectations, this shock is only temporary — households gradually revise their expectations back toward the actual bond price. However, while the expectation shock persists, the portfolio reallocation depresses bond demand and, through the target-proportion mechanism, pushes bond prices lower. This is Figure 5.7 of Godley and Lavoie (2006)." ] }, { "cell_type": "code", "execution_count": 8, "id": "f8aab33b", "metadata": {}, "outputs": [], "source": [ "sc2 = scenarios.get_scenario_index(\"Scenario.2: Expected bond price fall\")\n", "model2 = GL06LP2(parameters=params, scenarios=scenarios)\n", "model2.simulate(scenario=sc2)\n", "output_sc2 = model2.variables.to_pandas()" ] }, { "cell_type": "code", "execution_count": 11, "id": "b1e092b7", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfo2 = output_sc2.loc[trigger - 2:]\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n", "\n", "# Figure 5.7: Bond yield\n", "axes[0].plot(dfo_base.index, dfo_base['BondYield'], 'k--', label='Baseline')\n", "axes[0].plot(dfo2.index, dfo2['BondYield'], 'k-', label='Shock')\n", "axes[0].axvline(x=trigger, color='grey', linestyle=':', alpha=0.5)\n", "axes[0].set_title('Figure 5.7: Bond Yield $r_{bl}$')\n", "axes[0].set_xlabel('Period')\n", "axes[0].legend(frameon=False)\n", "\n", "# Bond Price vs Expected Bond Price\n", "axes[1].plot(dfo2.index, dfo2[('BondPrice','Macroeconomy')], 'b-', label=r'$p_{bl}$ (shock)')\n", "axes[1].plot(dfo2.index, dfo2['ExpectedBondPrice'], 'r--', label=r'$p_{bl}^e$ (shock)')\n", "axes[1].plot(dfo_base.index, dfo_base[('BondPrice','Macroeconomy')], 'b:', label=r'$p_{bl}$ (base)')\n", "axes[1].axvline(x=trigger, color='grey', linestyle=':', alpha=0.5)\n", "axes[1].set_title(r'Bond Price vs Expected $p_{bl}^e$')\n", "axes[1].set_xlabel('Period')\n", "axes[1].legend(frameon=False)\n", "\n", "# National Income\n", "axes[2].plot(dfo_base.index, dfo_base['NationalIncome'], 'k--', label='Baseline')\n", "axes[2].plot(dfo2.index, dfo2['NationalIncome'], 'k-', label='Shock')\n", "axes[2].axvline(x=trigger, color='grey', linestyle=':', alpha=0.5)\n", "axes[2].set_title('National Income $Y$')\n", "axes[2].set_xlabel('Period')\n", "axes[2].legend(frameon=False)\n", "\n", "fig.suptitle('Figure LP2.3: Anticipated fall in bond prices with adaptive expectations dynamics')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "ec81d50d-8457-4872-a642-a36d8b2c6028", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }