deploy: c8e3c39

Author: mmcky

_images/ccf81841b846058be9871ccdbf7a8389eecae0f0fdbf289c66e7ecbf34a0cb6e.png

@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "5ea7ba66",
+   "id": "515b4931",
    "metadata": {},
    "source": [
     "\n",
@@ -11,7 +11,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc2c9b5c",
+   "id": "f4013826",
    "metadata": {},
    "source": [
     "# Irrelevance of Capital Structures with Complete Markets\n",
@@ -22,7 +22,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "0f91c95e",
+   "id": "19a1056b",
    "metadata": {
     "hide-output": false
    },
@@ -34,7 +34,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1d7c2b6",
+   "id": "f70ada37",
    "metadata": {},
    "source": [
     "## Introduction\n",
@@ -67,7 +67,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "32314b83",
+   "id": "3cf2d630",
    "metadata": {},
    "source": [
     "### Setup\n",
@@ -100,7 +100,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1f7f56d",
+   "id": "f2124a2e",
    "metadata": {},
    "source": [
     "### Endowments\n",
@@ -125,7 +125,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b34286d9",
+   "id": "94c065e9",
    "metadata": {},
    "source": [
     "### Technology:\n",
@@ -142,7 +142,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d979663",
+   "id": "3319ccec",
    "metadata": {},
    "source": [
     "### Preferences:\n",
@@ -167,7 +167,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2cc5550b",
+   "id": "a637d176",
    "metadata": {},
    "source": [
     "### Parameterizations\n",
@@ -190,7 +190,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e5d4ed6",
+   "id": "b93cc042",
    "metadata": {},
    "source": [
     "### Pareto criterion and planning problem\n",
@@ -248,7 +248,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2521c553",
+   "id": "f5edb8cc",
    "metadata": {},
    "source": [
     "### Helpful observations and bookkeeping\n",
@@ -329,7 +329,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "16ae94ef",
+   "id": "d66be86f",
    "metadata": {},
    "source": [
     "#### Remarks\n",
@@ -348,7 +348,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6fb429e3",
+   "id": "8246d1b4",
    "metadata": {},
    "source": [
     "## Competitive equilibrium\n",
@@ -367,7 +367,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ee5a53e",
+   "id": "d66325ca",
    "metadata": {},
    "source": [
     "### Measures of agents and firms\n",
@@ -419,7 +419,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69476fe1",
+   "id": "e62bcd74",
    "metadata": {},
    "source": [
     "#### Ownership\n",
@@ -459,7 +459,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6fbf4738",
+   "id": "88f702f8",
    "metadata": {},
    "source": [
     "#### Asset markets\n",
@@ -478,7 +478,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "168cf98e",
+   "id": "ddf9f3f2",
    "metadata": {},
    "source": [
     "### Objects appearing in a competitive equilibrium\n",
@@ -507,7 +507,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bef6880d",
+   "id": "d42fd321",
    "metadata": {},
    "source": [
     "### A representative firm’s problem\n",
@@ -554,7 +554,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "181ca56b",
+   "id": "c7bea1b3",
    "metadata": {},
    "source": [
     "### A consumer’s problem\n",
@@ -727,7 +727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63685d6b",
+   "id": "b24e25f4",
    "metadata": {},
    "source": [
     "### Computing competitive equilibrium prices and quantities\n",
@@ -822,7 +822,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e82df1f0",
+   "id": "a5bb4074",
    "metadata": {},
    "source": [
     "### Modigliani-Miller theorem\n",
@@ -904,7 +904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91e82075",
+   "id": "860fc89f",
    "metadata": {},
    "source": [
     "## Code\n",
@@ -978,7 +978,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "58c78888",
+   "id": "b07e4b5c",
    "metadata": {
     "hide-output": false
    },
@@ -994,7 +994,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "8dcd16be",
+   "id": "06f7e1ba",
    "metadata": {
     "hide-output": false
    },
@@ -1189,7 +1189,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fcbd7958",
+   "id": "73c78587",
    "metadata": {},
    "source": [
     "### Examples\n",
@@ -1199,7 +1199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b343402c",
+   "id": "75a2b912",
    "metadata": {},
    "source": [
     "#### 1st example\n",
@@ -1218,7 +1218,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "c656f109",
+   "id": "a7874cff",
    "metadata": {
     "hide-output": false
    },
@@ -1231,7 +1231,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0dd5e688",
+   "id": "27e961c4",
    "metadata": {},
    "source": [
     "Let’s plot the agents’ time-1 endowments with respect to shocks to see\n",
@@ -1241,7 +1241,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "b22084a1",
+   "id": "b9b0a99d",
    "metadata": {
     "hide-output": false
    },
@@ -1278,7 +1278,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b1558d0",
+   "id": "a0bd5e76",
    "metadata": {},
    "source": [
     "Let’s also compare the optimal capital stock, $ k $, and optimal\n",
@@ -1288,7 +1288,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "48ed5206",
+   "id": "0c8aac2f",
    "metadata": {
     "hide-output": false
    },
@@ -1311,7 +1311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0e7461b",
+   "id": "4c72f330",
    "metadata": {},
    "source": [
     "#### 2nd example\n",
@@ -1326,7 +1326,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "cbbfa610",
+   "id": "ea464215",
    "metadata": {
     "hide-output": false
    },
@@ -1358,7 +1358,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "8ba820ea",
+   "id": "4c10b872",
    "metadata": {
     "hide-output": false
    },
@@ -1371,7 +1371,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "ccfe080e",
+   "id": "080d1f49",
    "metadata": {
     "hide-output": false
    },
@@ -1385,7 +1385,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "34482776",
+   "id": "60b2eb71",
    "metadata": {
     "hide-output": false
    },
@@ -1416,7 +1416,7 @@
   }
  ],
  "metadata": {
-  "date": 1738794746.3980672,
+  "date": 1738879970.0305266,
   "filename": "BCG_complete_mkts.md",
   "kernelspec": {
    "display_name": "Python",