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auto publishing updates to notebooks
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quantecon-services committed Oct 16, 2023
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78 changes: 39 additions & 39 deletions BCG_complete_mkts.ipynb
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"cells": [
{
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"source": [
"\n",
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},
{
"cell_type": "markdown",
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"source": [
"# Irrelevance of Capital Structures with Complete Markets"
]
},
{
"cell_type": "markdown",
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"metadata": {},
"source": [
"## Contents\n",
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},
{
"cell_type": "markdown",
"id": "a5eed5fc",
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"metadata": {},
"source": [
"In addition to what’s in Anaconda, this lecture will need the following libraries:"
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{
"cell_type": "code",
"execution_count": null,
"id": "4e2d7874",
"id": "1a767599",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "add21b67",
"id": "3f4c9b5f",
"metadata": {},
"source": [
"## Introduction\n",
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},
{
"cell_type": "markdown",
"id": "5de10318",
"id": "c0f8e990",
"metadata": {},
"source": [
"### Setup\n",
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},
{
"cell_type": "markdown",
"id": "0283d00e",
"id": "ca715c12",
"metadata": {},
"source": [
"### Endowments\n",
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},
{
"cell_type": "markdown",
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"id": "2807956c",
"metadata": {},
"source": [
"### Technology:\n",
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},
{
"cell_type": "markdown",
"id": "c295f999",
"id": "31e347d8",
"metadata": {},
"source": [
"### Preferences:\n",
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},
{
"cell_type": "markdown",
"id": "ccc26120",
"id": "183a872c",
"metadata": {},
"source": [
"### Parameterizations\n",
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},
{
"cell_type": "markdown",
"id": "fcdb2b01",
"id": "de59b68e",
"metadata": {},
"source": [
"### Pareto criterion and planning problem\n",
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},
{
"cell_type": "markdown",
"id": "8da80e02",
"id": "165c4a6e",
"metadata": {},
"source": [
"### Helpful observations and bookkeeping\n",
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},
{
"cell_type": "markdown",
"id": "092a5d44",
"id": "48f0ae92",
"metadata": {},
"source": [
"#### Remarks\n",
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},
{
"cell_type": "markdown",
"id": "3a7da85a",
"id": "79c4209d",
"metadata": {},
"source": [
"## Competitive equilibrium\n",
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},
{
"cell_type": "markdown",
"id": "d45d11e5",
"id": "2a30ccfb",
"metadata": {},
"source": [
"### Measures of agents and firms\n",
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},
{
"cell_type": "markdown",
"id": "5edea6dc",
"id": "853fa8ac",
"metadata": {},
"source": [
"#### Ownership\n",
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},
{
"cell_type": "markdown",
"id": "63fd6972",
"id": "8d78aaca",
"metadata": {},
"source": [
"#### Asset markets\n",
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},
{
"cell_type": "markdown",
"id": "6bfcb1a8",
"id": "c6502cf6",
"metadata": {},
"source": [
"### Objects appearing in a competitive equilibrium\n",
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},
{
"cell_type": "markdown",
"id": "bf349f43",
"id": "505d61be",
"metadata": {},
"source": [
"### A representative firm’s problem\n",
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},
{
"cell_type": "markdown",
"id": "c9ec7b03",
"id": "7dead11d",
"metadata": {},
"source": [
"### A consumer’s problem\n",
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},
{
"cell_type": "markdown",
"id": "0e146e7e",
"id": "b68aa295",
"metadata": {},
"source": [
"### Computing competitive equilibrium prices and quantities\n",
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},
{
"cell_type": "markdown",
"id": "673aa533",
"id": "55910a33",
"metadata": {},
"source": [
"### Modigliani-Miller theorem\n",
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},
{
"cell_type": "markdown",
"id": "59893d4e",
"id": "7133e2e8",
"metadata": {},
"source": [
"## Code\n",
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{
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"id": "1ef51cd2",
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"metadata": {
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},
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{
"cell_type": "code",
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"id": "93c14325",
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"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "97b91a36",
"id": "c405f099",
"metadata": {},
"source": [
"### Examples\n",
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},
{
"cell_type": "markdown",
"id": "498935b7",
"id": "7c6a8c19",
"metadata": {},
"source": [
"#### 1st example\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "2f8921b6",
"id": "73e20dd0",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "18ae42d1",
"id": "b1e6ecb9",
"metadata": {},
"source": [
"Let’s plot the agents’ time-1 endowments with respect to shocks to see\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "e8e62962",
"id": "2c6f854e",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "820f146f",
"id": "4e995d35",
"metadata": {},
"source": [
"Let’s also compare the optimal capital stock, $ k $, and optimal\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "1cc4b128",
"id": "a0be8b53",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "977e5667",
"id": "9695197a",
"metadata": {},
"source": [
"#### 2nd example\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "beee0afa",
"id": "bd208348",
"metadata": {
"hide-output": false
},
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{
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"id": "f6811aef",
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"metadata": {
"hide-output": false
},
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{
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"id": "c27e5d98",
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"metadata": {
"hide-output": false
},
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{
"cell_type": "code",
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"id": "80c02d30",
"id": "0ee464bb",
"metadata": {
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},
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}
],
"metadata": {
"date": 1686803693.4238307,
"date": 1697425684.2466972,
"filename": "BCG_complete_mkts.md",
"kernelspec": {
"display_name": "Python",
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