{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "68f70d60",
   "metadata": {},
   "source": [
    "# NK3E"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66481396",
   "metadata": {},
   "source": [
    "The New Keynesian 3-Equation (NK3E) model is a compact framework for\n",
    "analyzing the joint dynamics of output, inflation, and the real interest\n",
    "rate. It is based on {cite:t}`CarlinSoskice2014Macroeconomics` and follows\n",
    "the implementation at\n",
    "[macrosimulation.org](https://macrosimulation.org/a_new_keynesian_3_equation_model).\n",
    "\n",
    "The model captures three core mechanisms:\n",
    "\n",
    "1. **Demand** (IS curve): output depends negatively on the lagged real interest rate.\n",
    "2. **Inflation** (Phillips curve): inflation accelerates when output exceeds potential.\n",
    "3. **Monetary policy**: the central bank sets the real rate to steer inflation toward its target."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39e1e246",
   "metadata": {},
   "source": [
    "## Module Contents\n",
    "\n",
    "As with all `MacroStat` models, NK3E is divided into Variables, Parameters\n",
    "(fixed constants), Scenarios, and the Behavior (model initialization and\n",
    "steps). The module-level documentation can be seen in:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4e0aa57",
   "metadata": {},
   "source": [
    "```{eval-rst}\n",
    ".. toctree::\n",
    "    :maxdepth: 2\n",
    "\n",
    "    Variables <variables.rst>\n",
    "    Parameters <parameters.rst>\n",
    "    Equations <equations.rst>\n",
    "    Scenarios <scenarios.rst>\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60e17a22",
   "metadata": {},
   "source": [
    "The remainder of this page gives an introduction to the model, notes on how\n",
    "it is implemented in `MacroStat` and then shows some of the model dynamics."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d36c900",
   "metadata": {},
   "source": [
    "## Model Overview"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4def931f",
   "metadata": {},
   "source": [
    "### Behavioral Equations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2dda7629",
   "metadata": {},
   "source": [
    "The model consists of three behavioral equations and two derived quantities.\n",
    "All variables are in deviation from some normalisation; output $y$ is in\n",
    "levels, $\\pi$ is the inflation rate, and $r$ is the real interest rate.\n",
    "\n",
    "1. **IS curve** — output as a function of autonomous demand and the lagged real rate\n",
    "\n",
    "$$\n",
    "y_t = A - a_1 \\, r_{t-1}\n",
    "$$\n",
    "\n",
    "2. **Phillips curve** — inflation responds to the output gap\n",
    "\n",
    "$$\n",
    "\\pi_t = \\pi_{t-1} + a_2 \\, (y_t - y_e)\n",
    "$$\n",
    "\n",
    "3. **Stabilizing real rate** — the rate consistent with output at potential\n",
    "\n",
    "$$\n",
    "r_s = \\frac{A - y_e}{a_1}\n",
    "$$\n",
    "\n",
    "4. **Central bank response slope** — derived from the loss-minimizing policy\n",
    "\n",
    "$$\n",
    "a_3 = \\frac{1}{a_1 \\left( \\dfrac{1}{a_2 b} + a_2 \\right)}\n",
    "$$\n",
    "\n",
    "5. **Monetary policy rule** — the real rate reacts to inflation deviations\n",
    "\n",
    "$$\n",
    "r_t = r_s + a_3 \\, (\\pi_t - \\pi^T)\n",
    "$$\n",
    "\n",
    "At steady state, $y = y_e$, $\\pi = \\pi^T$, and $r = r_s$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a12f3243",
   "metadata": {},
   "source": [
    "## Implementation in MacroStat"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59349efb",
   "metadata": {},
   "source": [
    "Transposing these equations to the `MacroStat` framework, we consider that\n",
    "there are:\n",
    "\n",
    "1. **Six parameters** (fixed constants): $a_1$, $a_2$, $b$, $A$, $\\pi^T$,\n",
    "   $y_e$ (see [Parameters](parameters.rst))\n",
    "2. **Six scenario keys** divided into two families (see [Scenarios](scenarios.rst)):\n",
    "   - *Parameter-step shocks* (`A_add`, `pi_T_add`, `y_e_add`): additive offsets\n",
    "     applied to structural parameters from `scenario_trigger` onward.\n",
    "   - *State-variable shocks* (`InflationShock`, `RateShock`, `OutputShock`): additive\n",
    "     perturbations applied directly to $\\pi$, $r$, $y$ inside `BehaviorNK3E.step`.\n",
    "     These default to zero; `Scenario.4` registers a one-period impulse on $\\pi$.\n",
    "     `OutputShock` and `RateShock` follow the same pattern and are available but\n",
    "     not exercised here.\n",
    "3. **Five tracked variables**: $y$, $\\pi$, $r$, $r_s$, $a_3$\n",
    "   (see [Variables](variables.rst))\n",
    "\n",
    "The derived quantities $r_s$ and $a_3$ are recomputed every period from the\n",
    "(possibly shocked) parameters, so they respond immediately to parameter-step\n",
    "shocks. State-variable shocks bypass the parameter layer and perturb the\n",
    "system directly within a single period."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f77df976",
   "metadata": {},
   "source": [
    "## Model Dynamics"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e9b3edd",
   "metadata": {},
   "source": [
    "### Preparatory Steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "68035015",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:26.813027Z",
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   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import importlib\n",
    "import logging\n",
    "import sys\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from macrostat.models.NK3E import NK3E, ParametersNK3E, ScenariosNK3E\n",
    "\n",
    "plt.style.use(\"../../macrostat.mplstyle\")\n",
    "importlib.reload(logging)\n",
    "logging.basicConfig(stream=sys.stdout, level=logging.INFO)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68471fc2",
   "metadata": {},
   "source": [
    "### Running the Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "255cd3cd",
   "metadata": {},
   "source": [
    "First, we run the model without any shocks to see the convergence to the\n",
    "steady state. We set a scenario trigger at $t = 25$ so that later\n",
    "perturbation experiments show a clear pre-shock baseline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cdacfae9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:27.918209Z",
     "iopub.status.busy": "2026-04-11T18:11:27.918044Z",
     "iopub.status.idle": "2026-04-11T18:11:27.952253Z",
     "shell.execute_reply": "2026-04-11T18:11:27.951928Z"
    }
   },
   "outputs": [],
   "source": [
    "params = ParametersNK3E(hyperparameters={\"timesteps\": 70, \"scenario_trigger\": 25})\n",
    "model = NK3E(parameters=params)\n",
    "model.simulate()\n",
    "output = model.variables.to_pandas()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "193ef66b",
   "metadata": {},
   "source": [
    "We can check that the variables are healthy (redundant equation holds,\n",
    "stocks are positive):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7debe940",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:27.953821Z",
     "iopub.status.busy": "2026-04-11T18:11:27.953714Z",
     "iopub.status.idle": "2026-04-11T18:11:27.966511Z",
     "shell.execute_reply": "2026-04-11T18:11:27.966067Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Check health not implemented for this model\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.variables.check_health()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bcdcc957",
   "metadata": {},
   "source": [
    "An overview of the first 10 steps of the model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f7e56689",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:27.967514Z",
     "iopub.status.busy": "2026-04-11T18:11:27.967414Z",
     "iopub.status.idle": "2026-04-11T18:11:27.983845Z",
     "shell.execute_reply": "2026-04-11T18:11:27.983527Z"
    }
   },
   "outputs": [
    {
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       "      <th></th>\n",
       "      <th>time</th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
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       "      <th>y</th>\n",
       "      <th>Macroeconomy</th>\n",
       "      <td>5.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>5.000000</td>\n",
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       "      <th>a3</th>\n",
       "      <th>Macroeconomy</th>\n",
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       "      <td>1.565995</td>\n",
       "      <td>1.565995</td>\n",
       "      <td>1.565995</td>\n",
       "      <td>1.565995</td>\n",
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       "      <th>pi</th>\n",
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       "      <th>r</th>\n",
       "      <th>Macroeconomy</th>\n",
       "      <td>16.666666</td>\n",
       "      <td>16.666666</td>\n",
       "      <td>16.666666</td>\n",
       "      <td>16.666666</td>\n",
       "      <td>16.666666</td>\n",
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       "      <td>16.666666</td>\n",
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       "      <td>16.666666</td>\n",
       "      <td>16.666666</td>\n",
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       "time                      0          1          2          3          4  \\\n",
       "y   Macroeconomy   5.000000   5.000000   5.000000   5.000000   5.000000   \n",
       "a3  Macroeconomy   1.565995   1.565995   1.565995   1.565995   1.565995   \n",
       "pi  Macroeconomy   2.000000   2.000000   2.000000   2.000000   2.000000   \n",
       "r   Macroeconomy  16.666666  16.666666  16.666666  16.666666  16.666666   \n",
       "r_s Macroeconomy  16.666666  16.666666  16.666666  16.666666  16.666666   \n",
       "\n",
       "time                      5          6          7          8          9  \n",
       "y   Macroeconomy   5.000000   5.000000   5.000000   5.000000   5.000000  \n",
       "a3  Macroeconomy   1.565995   1.565995   1.565995   1.565995   1.565995  \n",
       "pi  Macroeconomy   2.000000   2.000000   2.000000   2.000000   2.000000  \n",
       "r   Macroeconomy  16.666666  16.666666  16.666666  16.666666  16.666666  \n",
       "r_s Macroeconomy  16.666666  16.666666  16.666666  16.666666  16.666666  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output.head(10).T"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a75f7a29",
   "metadata": {},
   "source": [
    "### Convergence to the Steady State"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2d2c9b6",
   "metadata": {},
   "source": [
    "Without shocks, the NK3E model sits at its analytical steady state from the\n",
    "first period: $y = y_e = 5$, $\\pi = \\pi^T = 2$, and\n",
    "$r = r_s = (A - y_e) / a_1 \\approx 16.67$. The flat lines below confirm\n",
    "that the numerical simulation reproduces this exactly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c2043e51",
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     "shell.execute_reply": "2026-04-11T18:11:28.732967Z"
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   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(ncols=2, nrows=2, figsize=(8, 6))\n",
    "\n",
    "axs[0, 0].plot(output.index, output[\"y\"], color=\"k\")\n",
    "axs[0, 0].set_title(r\"Output $y$\")\n",
    "\n",
    "axs[0, 1].plot(output.index, output[\"pi\"], color=\"tab:orange\")\n",
    "axs[0, 1].set_title(r\"Inflation $\\pi$\")\n",
    "\n",
    "axs[1, 0].plot(output.index, output[\"r\"], color=\"tab:green\")\n",
    "axs[1, 0].set_title(r\"Real rate $r$\")\n",
    "\n",
    "axs[1, 1].plot(output.index, output[\"r_s\"], color=\"tab:red\")\n",
    "axs[1, 1].set_title(r\"Stabilizing rate $r_s$\")\n",
    "\n",
    "for ax in axs.ravel():\n",
    "    ax.grid(True, alpha=0.3)\n",
    "\n",
    "fig.suptitle(\"Figure NK3E.1: Baseline steady state\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44ca0358",
   "metadata": {},
   "source": [
    "### Perturbation 1: Rise in autonomous demand ($A$)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c2f8a52",
   "metadata": {},
   "source": [
    "A permanent increase in autonomous demand ($A$: 10 $\\to$ 12) shifts the IS\n",
    "curve to the right. Output jumps above potential, the Phillips curve pushes\n",
    "inflation up, and the central bank raises the real rate above the new\n",
    "(higher) stabilizing rate to bring inflation back to target. In the long\n",
    "run, the economy converges to a new steady state with the same $y_e$ and\n",
    "$\\pi^T$ but a higher stabilizing real rate\n",
    "$r_s^\\prime = (A^\\prime - y_e) / a_1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "aac02599",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:28.734709Z",
     "iopub.status.busy": "2026-04-11T18:11:28.734582Z",
     "iopub.status.idle": "2026-04-11T18:11:28.764535Z",
     "shell.execute_reply": "2026-04-11T18:11:28.764087Z"
    }
   },
   "outputs": [],
   "source": [
    "scenarios = ScenariosNK3E(parameters=params)\n",
    "sc1 = scenarios.get_scenario_index(\"Scenario.1: Rise in A\")\n",
    "model_sc1 = NK3E(parameters=params, scenarios=scenarios)\n",
    "model_sc1.simulate(scenario=sc1)\n",
    "output_sc1 = model_sc1.variables.to_pandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8de14b6a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:28.765743Z",
     "iopub.status.busy": "2026-04-11T18:11:28.765636Z",
     "iopub.status.idle": "2026-04-11T18:11:29.170898Z",
     "shell.execute_reply": "2026-04-11T18:11:29.170448Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Font 'default' does not have a glyph for '\\u2192' [U+2192], substituting with a dummy symbol.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Font 'default' does not have a glyph for '\\u2192' [U+2192], substituting with a dummy symbol.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "trigger = params[\"scenario_trigger\"]\n",
    "t_slice = slice(trigger - 2, None)\n",
    "\n",
    "fig, axs = plt.subplots(1, 3, figsize=(14, 4))\n",
    "\n",
    "axs[0].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"y\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[0].plot(\n",
    "    output_sc1.loc[t_slice].index, output_sc1.loc[t_slice, \"y\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[0].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[0].set_title(r\"Output $y$\")\n",
    "axs[0].legend(frameon=False)\n",
    "\n",
    "axs[1].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"pi\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[1].plot(\n",
    "    output_sc1.loc[t_slice].index, output_sc1.loc[t_slice, \"pi\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[1].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[1].set_title(r\"Inflation $\\pi$\")\n",
    "axs[1].legend(frameon=False)\n",
    "\n",
    "axs[2].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"r\"], \"k--\", label=\"Baseline $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc1.loc[t_slice].index, output_sc1.loc[t_slice, \"r\"], \"k-\", label=\"Shock $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc1.loc[t_slice].index,\n",
    "    output_sc1.loc[t_slice, \"r_s\"],\n",
    "    \"r-\",\n",
    "    label=r\"$r_s^\\prime$\",\n",
    ")\n",
    "axs[2].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[2].set_title(r\"Real rate $r$ and stabilizing rate $r_s$\")\n",
    "axs[2].legend(frameon=False)\n",
    "\n",
    "fig.suptitle(\"Scenario 1: Rise in autonomous demand ($A$: 10 → 12)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c79e4b78",
   "metadata": {},
   "source": [
    "### Perturbation 2: Higher inflation target ($\\pi^T$)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "925aecad",
   "metadata": {},
   "source": [
    "A permanent increase in the inflation target ($\\pi^T$: 2 $\\to$ 3) does not\n",
    "change the stabilizing real rate $r_s$ (which depends on $A$, $y_e$, $a_1$\n",
    "only). However, the monetary policy rule now targets a higher inflation\n",
    "rate. Since the current inflation rate starts below the new target, the\n",
    "central bank initially *cuts* the real rate below $r_s$. This stimulates\n",
    "output above potential, which drives inflation upward. The economy converges\n",
    "to the new steady state with $\\pi = \\pi^{T\\prime} = 3$, $y = y_e$, and\n",
    "$r = r_s$ (unchanged)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8d8b4f69",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:29.172248Z",
     "iopub.status.busy": "2026-04-11T18:11:29.172128Z",
     "iopub.status.idle": "2026-04-11T18:11:29.202986Z",
     "shell.execute_reply": "2026-04-11T18:11:29.202534Z"
    }
   },
   "outputs": [],
   "source": [
    "sc2 = scenarios.get_scenario_index(\"Scenario.2: Higher pi_T\")\n",
    "model_sc2 = NK3E(parameters=params, scenarios=scenarios)\n",
    "model_sc2.simulate(scenario=sc2)\n",
    "output_sc2 = model_sc2.variables.to_pandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "56db263d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:29.204386Z",
     "iopub.status.busy": "2026-04-11T18:11:29.204281Z",
     "iopub.status.idle": "2026-04-11T18:11:29.622888Z",
     "shell.execute_reply": "2026-04-11T18:11:29.622508Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Font 'default' does not have a glyph for '\\u2192' [U+2192], substituting with a dummy symbol.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Font 'default' does not have a glyph for '\\u2192' [U+2192], substituting with a dummy symbol.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 3, figsize=(14, 4))\n",
    "\n",
    "axs[0].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"y\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[0].plot(\n",
    "    output_sc2.loc[t_slice].index, output_sc2.loc[t_slice, \"y\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[0].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[0].set_title(r\"Output $y$\")\n",
    "axs[0].legend(frameon=False)\n",
    "\n",
    "axs[1].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"pi\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[1].plot(\n",
    "    output_sc2.loc[t_slice].index, output_sc2.loc[t_slice, \"pi\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[1].axhline(y=3.0, color=\"r\", linestyle=\"--\", alpha=0.5, label=r\"$\\pi^{T\\prime}=3$\")\n",
    "axs[1].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[1].set_title(r\"Inflation $\\pi$\")\n",
    "axs[1].legend(frameon=False)\n",
    "\n",
    "axs[2].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"r\"], \"k--\", label=\"Baseline $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc2.loc[t_slice].index, output_sc2.loc[t_slice, \"r\"], \"k-\", label=\"Shock $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc2.loc[t_slice].index, output_sc2.loc[t_slice, \"r_s\"], \"r-\", label=r\"$r_s$\"\n",
    ")\n",
    "axs[2].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[2].set_title(r\"Real rate $r$ and stabilizing rate $r_s$\")\n",
    "axs[2].legend(frameon=False)\n",
    "\n",
    "fig.suptitle(r\"Scenario 2: Higher inflation target ($\\pi^T$: 2 → 3)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae313dc0",
   "metadata": {},
   "source": [
    "### Perturbation 3: Rise in equilibrium output ($y_e$)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8c71de4",
   "metadata": {},
   "source": [
    "A permanent increase in equilibrium output ($y_e$: 5 $\\to$ 7) represents a\n",
    "positive supply-side shock. The stabilizing real rate *falls* because the\n",
    "same autonomous demand $A$ now needs a lower rate to clear the goods market\n",
    "at the higher potential. Output initially undershoots the new potential\n",
    "(since $r$ was calibrated to the old $y_e$), which pushes inflation below\n",
    "target. The central bank lowers the rate, and the economy converges to the\n",
    "new steady state with $y = y_e^\\prime = 7$, $\\pi = \\pi^T$, and a lower\n",
    "$r_s^\\prime = (A - y_e^\\prime) / a_1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "087f3062",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:29.624187Z",
     "iopub.status.busy": "2026-04-11T18:11:29.624069Z",
     "iopub.status.idle": "2026-04-11T18:11:29.653575Z",
     "shell.execute_reply": "2026-04-11T18:11:29.653218Z"
    }
   },
   "outputs": [],
   "source": [
    "sc3 = scenarios.get_scenario_index(\"Scenario.3: Rise in y_e\")\n",
    "model_sc3 = NK3E(parameters=params, scenarios=scenarios)\n",
    "model_sc3.simulate(scenario=sc3)\n",
    "output_sc3 = model_sc3.variables.to_pandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d1a30da0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:29.654948Z",
     "iopub.status.busy": "2026-04-11T18:11:29.654823Z",
     "iopub.status.idle": "2026-04-11T18:11:30.074809Z",
     "shell.execute_reply": "2026-04-11T18:11:30.074477Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Font 'default' does not have a glyph for '\\u2192' [U+2192], substituting with a dummy symbol.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Font 'default' does not have a glyph for '\\u2192' [U+2192], substituting with a dummy symbol.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 3, figsize=(14, 4))\n",
    "\n",
    "axs[0].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"y\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[0].plot(\n",
    "    output_sc3.loc[t_slice].index, output_sc3.loc[t_slice, \"y\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[0].axhline(y=7.0, color=\"r\", linestyle=\"--\", alpha=0.5, label=r\"$y_e^\\prime=7$\")\n",
    "axs[0].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[0].set_title(r\"Output $y$\")\n",
    "axs[0].legend(frameon=False)\n",
    "\n",
    "axs[1].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"pi\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[1].plot(\n",
    "    output_sc3.loc[t_slice].index, output_sc3.loc[t_slice, \"pi\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[1].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[1].set_title(r\"Inflation $\\pi$\")\n",
    "axs[1].legend(frameon=False)\n",
    "\n",
    "axs[2].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"r\"], \"k--\", label=\"Baseline $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc3.loc[t_slice].index, output_sc3.loc[t_slice, \"r\"], \"k-\", label=\"Shock $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc3.loc[t_slice].index,\n",
    "    output_sc3.loc[t_slice, \"r_s\"],\n",
    "    \"r-\",\n",
    "    label=r\"$r_s^\\prime$\",\n",
    ")\n",
    "axs[2].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[2].set_title(r\"Real rate $r$ and stabilizing rate $r_s$\")\n",
    "axs[2].legend(frameon=False)\n",
    "\n",
    "fig.suptitle(r\"Scenario 3: Rise in equilibrium output ($y_e$: 5 → 7)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nk3e-sc4-header",
   "metadata": {},
   "source": [
    "### Perturbation 4: Inflation impulse"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nk3e-sc4-prose",
   "metadata": {},
   "source": [
    "The first three perturbations change a structural parameter permanently from\n",
    "`scenario_trigger` onward. This perturbation differs in kind. It injects a\n",
    "one-period additive shock of $+1$ directly into $\\pi_t$ at the trigger, leaving\n",
    "all parameters unchanged. After that single period the shock value returns to\n",
    "zero and the model evolves freely.\n",
    "\n",
    "Economically, this captures an exogenous inflation surprise — a cost-push\n",
    "impulse or an expectation shock — not driven by any change in demand, potential\n",
    "output, or the inflation target. The structural parameters $A$, $y_e$, and\n",
    "$\\pi^T$ are identical to the baseline throughout, so $r_s$ and $a_3$ are\n",
    "unaffected.\n",
    "\n",
    "The expected dynamics follow from the three equations. In the shock period\n",
    "$\\pi_t$ rises by $+1$. The monetary policy rule raises $r_t$ above $r_s$. In the\n",
    "next period the higher $r$ suppresses output via the IS curve, the negative\n",
    "output gap pulls $\\pi$ back toward target, and the central bank relaxes the rate.\n",
    "The economy converges monotonically to the original steady state with no\n",
    "permanent shift in any variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "nk3e-sc4-sim",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:30.076147Z",
     "iopub.status.busy": "2026-04-11T18:11:30.076038Z",
     "iopub.status.idle": "2026-04-11T18:11:30.104823Z",
     "shell.execute_reply": "2026-04-11T18:11:30.104431Z"
    }
   },
   "outputs": [],
   "source": [
    "sc4 = scenarios.get_scenario_index(\"Scenario.4: Inflation impulse\")\n",
    "model_sc4 = NK3E(parameters=params, scenarios=scenarios)\n",
    "model_sc4.simulate(scenario=sc4)\n",
    "output_sc4 = model_sc4.variables.to_pandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "nk3e-sc4-plot",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-11T18:11:30.106117Z",
     "iopub.status.busy": "2026-04-11T18:11:30.106015Z",
     "iopub.status.idle": "2026-04-11T18:11:30.633678Z",
     "shell.execute_reply": "2026-04-11T18:11:30.633223Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 3, figsize=(14, 4))\n",
    "\n",
    "axs[0].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"y\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[0].plot(\n",
    "    output_sc4.loc[t_slice].index, output_sc4.loc[t_slice, \"y\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[0].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[0].set_title(r\"Output $y$\")\n",
    "axs[0].legend(frameon=False)\n",
    "\n",
    "axs[1].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"pi\"], \"k--\", label=\"Baseline\"\n",
    ")\n",
    "axs[1].plot(\n",
    "    output_sc4.loc[t_slice].index, output_sc4.loc[t_slice, \"pi\"], \"k-\", label=\"Shock\"\n",
    ")\n",
    "axs[1].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[1].set_title(r\"Inflation $\\pi$\")\n",
    "axs[1].legend(frameon=False)\n",
    "\n",
    "axs[2].plot(\n",
    "    output.loc[t_slice].index, output.loc[t_slice, \"r\"], \"k--\", label=\"Baseline $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc4.loc[t_slice].index, output_sc4.loc[t_slice, \"r\"], \"k-\", label=\"Shock $r$\"\n",
    ")\n",
    "axs[2].plot(\n",
    "    output_sc4.loc[t_slice].index, output_sc4.loc[t_slice, \"r_s\"], \"r-\", label=r\"$r_s$\"\n",
    ")\n",
    "axs[2].axvline(x=trigger, color=\"grey\", linestyle=\":\", alpha=0.5)\n",
    "axs[2].set_title(r\"Real rate $r$ and stabilizing rate $r_s$\")\n",
    "axs[2].legend(frameon=False)\n",
    "\n",
    "fig.suptitle(r\"Perturbation 4: Inflation impulse ($\\pi$: $+1$ at trigger)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "formats": "ipynb,py:percent"
  },
  "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
}