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auto publishing updates to notebooks
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quantecon-services committed Sep 13, 2022
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80 changes: 40 additions & 40 deletions BCG_complete_mkts.ipynb
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"cells": [
{
"cell_type": "markdown",
"id": "dbcd9499",
"id": "fed9e38c",
"metadata": {},
"source": [
"\n",
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},
{
"cell_type": "markdown",
"id": "46ba91f7",
"id": "6471eea9",
"metadata": {},
"source": [
"# Irrelevance of Capital Structures with Complete Markets"
]
},
{
"cell_type": "markdown",
"id": "20cfd884",
"id": "51ebfed3",
"metadata": {},
"source": [
"## Contents\n",
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},
{
"cell_type": "markdown",
"id": "1c5ea30f",
"id": "90ba70c8",
"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": "c896a31c",
"id": "9e9bdb6d",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "117fe268",
"id": "08501b13",
"metadata": {},
"source": [
"## Introduction\n",
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" recur in the BCG incomplete markets environment \n",
"\n",
"\n",
"A Big K, little k analysis also played roles in [this quantecon lecture](https://python.quantecon.org/cass_koopmans.html) as well as\n",
"A Big K, little k analysis also played roles in [this quantecon lecture](https://python.quantecon.org/cass_koopmans_1.html) as well as\n",
"[here](https://python.quantecon.org/rational_expectations.html) and [here](https://python-advanced.quantecon.org/dyn_stack.html)."
]
},
{
"cell_type": "markdown",
"id": "1d692889",
"id": "86c5e5fe",
"metadata": {},
"source": [
"### Setup\n",
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},
{
"cell_type": "markdown",
"id": "8955bc4c",
"id": "9c229e77",
"metadata": {},
"source": [
"### Endowments\n",
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},
{
"cell_type": "markdown",
"id": "76fd0508",
"id": "9d4405b7",
"metadata": {},
"source": [
"### Technology:\n",
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},
{
"cell_type": "markdown",
"id": "d25ccbe4",
"id": "b7ed03da",
"metadata": {},
"source": [
"### Preferences:\n",
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},
{
"cell_type": "markdown",
"id": "966d122a",
"id": "fc7d1c93",
"metadata": {},
"source": [
"### Parameterizations\n",
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},
{
"cell_type": "markdown",
"id": "a824018a",
"id": "c7923a4a",
"metadata": {},
"source": [
"### Pareto criterion and planning problem\n",
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},
{
"cell_type": "markdown",
"id": "6e2b9bfd",
"id": "ce8dcf6e",
"metadata": {},
"source": [
"### Helpful observations and bookkeeping\n",
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},
{
"cell_type": "markdown",
"id": "31b4a1dd",
"id": "621fb92e",
"metadata": {},
"source": [
"#### Remarks\n",
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},
{
"cell_type": "markdown",
"id": "11bf7dad",
"id": "eff1ed15",
"metadata": {},
"source": [
"## Competitive equilibrium\n",
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},
{
"cell_type": "markdown",
"id": "8e0dc1ca",
"id": "0613b686",
"metadata": {},
"source": [
"### Measures of agents and firms\n",
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},
{
"cell_type": "markdown",
"id": "fdfd4ed6",
"id": "fb9dcf68",
"metadata": {},
"source": [
"#### Ownership\n",
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},
{
"cell_type": "markdown",
"id": "5da5d83e",
"id": "36140709",
"metadata": {},
"source": [
"#### Asset markets\n",
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},
{
"cell_type": "markdown",
"id": "c87aadbb",
"id": "e8216cb3",
"metadata": {},
"source": [
"### Objects appearing in a competitive equilibrium\n",
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},
{
"cell_type": "markdown",
"id": "820d1108",
"id": "84d3f5a0",
"metadata": {},
"source": [
"### A representative firm’s problem\n",
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},
{
"cell_type": "markdown",
"id": "25d72925",
"id": "1f96cd3f",
"metadata": {},
"source": [
"### A consumer’s problem\n",
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},
{
"cell_type": "markdown",
"id": "53129438",
"id": "a6ccd39b",
"metadata": {},
"source": [
"### Computing competitive equilibrium prices and quantities\n",
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},
{
"cell_type": "markdown",
"id": "8a35a9dd",
"id": "e8434574",
"metadata": {},
"source": [
"### Modigliani-Miller theorem\n",
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},
{
"cell_type": "markdown",
"id": "816c595c",
"id": "2861da9f",
"metadata": {},
"source": [
"## Code\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "ee5b56d2",
"id": "d96ca7d8",
"metadata": {
"hide-output": false
},
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{
"cell_type": "code",
"execution_count": null,
"id": "60823cc4",
"id": "5e4095be",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "4596933d",
"id": "eee53f7c",
"metadata": {},
"source": [
"### Examples\n",
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},
{
"cell_type": "markdown",
"id": "51b61aeb",
"id": "93b78bc6",
"metadata": {},
"source": [
"#### 1st example\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "12e4ee56",
"id": "db51333a",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "406695c2",
"id": "0dc7b073",
"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": "e919a715",
"id": "cb051839",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "8fba7a79",
"id": "c3d8ffc6",
"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": "cead3391",
"id": "b833564a",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "82a2fcca",
"id": "8f9519f3",
"metadata": {},
"source": [
"#### 2nd example\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "e686c92f",
"id": "4471a73d",
"metadata": {
"hide-output": false
},
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{
"cell_type": "code",
"execution_count": null,
"id": "3ccd0039",
"id": "aef79d40",
"metadata": {
"hide-output": false
},
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{
"cell_type": "code",
"execution_count": null,
"id": "b7c780ec",
"id": "d7353de2",
"metadata": {
"hide-output": false
},
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{
"cell_type": "code",
"execution_count": null,
"id": "60f63473",
"id": "d329a160",
"metadata": {
"hide-output": false
},
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}
],
"metadata": {
"date": 1662438233.1024282,
"date": 1663034798.4668214,
"filename": "BCG_complete_mkts.md",
"kernelspec": {
"display_name": "Python",
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