|
2 | 2 | "cells": [ |
3 | 3 | { |
4 | 4 | "cell_type": "markdown", |
5 | | - "id": "41b19bca", |
| 5 | + "id": "4d3fcdf2", |
6 | 6 | "metadata": {}, |
7 | 7 | "source": [ |
8 | 8 | "\n", |
|
11 | 11 | }, |
12 | 12 | { |
13 | 13 | "cell_type": "markdown", |
14 | | - "id": "480baf6b", |
| 14 | + "id": "f3033ae7", |
15 | 15 | "metadata": {}, |
16 | 16 | "source": [ |
17 | 17 | "# Irrelevance of Capital Structures with Complete Markets" |
18 | 18 | ] |
19 | 19 | }, |
20 | 20 | { |
21 | 21 | "cell_type": "markdown", |
22 | | - "id": "debe68af", |
| 22 | + "id": "7367cb3e", |
23 | 23 | "metadata": {}, |
24 | 24 | "source": [ |
25 | 25 | "## Contents\n", |
|
32 | 32 | }, |
33 | 33 | { |
34 | 34 | "cell_type": "markdown", |
35 | | - "id": "33d32bbd", |
| 35 | + "id": "05120edf", |
36 | 36 | "metadata": {}, |
37 | 37 | "source": [ |
38 | 38 | "In addition to what’s in Anaconda, this lecture will need the following libraries:" |
|
41 | 41 | { |
42 | 42 | "cell_type": "code", |
43 | 43 | "execution_count": null, |
44 | | - "id": "b40ee27f", |
| 44 | + "id": "67a8e448", |
45 | 45 | "metadata": { |
46 | 46 | "hide-output": false |
47 | 47 | }, |
|
54 | 54 | }, |
55 | 55 | { |
56 | 56 | "cell_type": "markdown", |
57 | | - "id": "e43ede90", |
| 57 | + "id": "aec21c4d", |
58 | 58 | "metadata": {}, |
59 | 59 | "source": [ |
60 | 60 | "## Introduction\n", |
|
87 | 87 | }, |
88 | 88 | { |
89 | 89 | "cell_type": "markdown", |
90 | | - "id": "3b2ecddb", |
| 90 | + "id": "18408ed7", |
91 | 91 | "metadata": {}, |
92 | 92 | "source": [ |
93 | 93 | "### Setup\n", |
|
120 | 120 | }, |
121 | 121 | { |
122 | 122 | "cell_type": "markdown", |
123 | | - "id": "777331a0", |
| 123 | + "id": "76dec79a", |
124 | 124 | "metadata": {}, |
125 | 125 | "source": [ |
126 | 126 | "### Endowments\n", |
|
145 | 145 | }, |
146 | 146 | { |
147 | 147 | "cell_type": "markdown", |
148 | | - "id": "4ce1d91d", |
| 148 | + "id": "78d8b8fc", |
149 | 149 | "metadata": {}, |
150 | 150 | "source": [ |
151 | 151 | "### Technology:\n", |
|
162 | 162 | }, |
163 | 163 | { |
164 | 164 | "cell_type": "markdown", |
165 | | - "id": "48dbd539", |
| 165 | + "id": "1bc6cdb3", |
166 | 166 | "metadata": {}, |
167 | 167 | "source": [ |
168 | 168 | "### Preferences:\n", |
|
187 | 187 | }, |
188 | 188 | { |
189 | 189 | "cell_type": "markdown", |
190 | | - "id": "c4dc7265", |
| 190 | + "id": "2e7ebc4a", |
191 | 191 | "metadata": {}, |
192 | 192 | "source": [ |
193 | 193 | "### Parameterizations\n", |
|
210 | 210 | }, |
211 | 211 | { |
212 | 212 | "cell_type": "markdown", |
213 | | - "id": "547a707a", |
| 213 | + "id": "8279204d", |
214 | 214 | "metadata": {}, |
215 | 215 | "source": [ |
216 | 216 | "### Pareto criterion and planning problem\n", |
|
268 | 268 | }, |
269 | 269 | { |
270 | 270 | "cell_type": "markdown", |
271 | | - "id": "3c5108db", |
| 271 | + "id": "75426d8b", |
272 | 272 | "metadata": {}, |
273 | 273 | "source": [ |
274 | 274 | "### Helpful observations and bookkeeping\n", |
|
349 | 349 | }, |
350 | 350 | { |
351 | 351 | "cell_type": "markdown", |
352 | | - "id": "23023a61", |
| 352 | + "id": "b7e6f121", |
353 | 353 | "metadata": {}, |
354 | 354 | "source": [ |
355 | 355 | "#### Remarks\n", |
|
368 | 368 | }, |
369 | 369 | { |
370 | 370 | "cell_type": "markdown", |
371 | | - "id": "ce236b3f", |
| 371 | + "id": "016e5e9d", |
372 | 372 | "metadata": {}, |
373 | 373 | "source": [ |
374 | 374 | "## Competitive equilibrium\n", |
|
387 | 387 | }, |
388 | 388 | { |
389 | 389 | "cell_type": "markdown", |
390 | | - "id": "237bf218", |
| 390 | + "id": "9537825e", |
391 | 391 | "metadata": {}, |
392 | 392 | "source": [ |
393 | 393 | "### Measures of agents and firms\n", |
|
439 | 439 | }, |
440 | 440 | { |
441 | 441 | "cell_type": "markdown", |
442 | | - "id": "deb9442e", |
| 442 | + "id": "661e2910", |
443 | 443 | "metadata": {}, |
444 | 444 | "source": [ |
445 | 445 | "#### Ownership\n", |
|
479 | 479 | }, |
480 | 480 | { |
481 | 481 | "cell_type": "markdown", |
482 | | - "id": "88bd0640", |
| 482 | + "id": "b0499956", |
483 | 483 | "metadata": {}, |
484 | 484 | "source": [ |
485 | 485 | "#### Asset markets\n", |
|
498 | 498 | }, |
499 | 499 | { |
500 | 500 | "cell_type": "markdown", |
501 | | - "id": "50d472f8", |
| 501 | + "id": "ece861b1", |
502 | 502 | "metadata": {}, |
503 | 503 | "source": [ |
504 | 504 | "### Objects appearing in a competitive equilibrium\n", |
|
527 | 527 | }, |
528 | 528 | { |
529 | 529 | "cell_type": "markdown", |
530 | | - "id": "4792c516", |
| 530 | + "id": "09771b13", |
531 | 531 | "metadata": {}, |
532 | 532 | "source": [ |
533 | 533 | "### A representative firm’s problem\n", |
|
574 | 574 | }, |
575 | 575 | { |
576 | 576 | "cell_type": "markdown", |
577 | | - "id": "a0fab18b", |
| 577 | + "id": "a8dcfea3", |
578 | 578 | "metadata": {}, |
579 | 579 | "source": [ |
580 | 580 | "### A consumer’s problem\n", |
|
747 | 747 | }, |
748 | 748 | { |
749 | 749 | "cell_type": "markdown", |
750 | | - "id": "6761e121", |
| 750 | + "id": "65047c5f", |
751 | 751 | "metadata": {}, |
752 | 752 | "source": [ |
753 | 753 | "### Computing competitive equilibrium prices and quantities\n", |
|
842 | 842 | }, |
843 | 843 | { |
844 | 844 | "cell_type": "markdown", |
845 | | - "id": "864acced", |
| 845 | + "id": "d2096d52", |
846 | 846 | "metadata": {}, |
847 | 847 | "source": [ |
848 | 848 | "### Modigliani-Miller theorem\n", |
|
924 | 924 | }, |
925 | 925 | { |
926 | 926 | "cell_type": "markdown", |
927 | | - "id": "d2a2e77d", |
| 927 | + "id": "45f66c33", |
928 | 928 | "metadata": {}, |
929 | 929 | "source": [ |
930 | 930 | "## Code\n", |
|
998 | 998 | { |
999 | 999 | "cell_type": "code", |
1000 | 1000 | "execution_count": null, |
1001 | | - "id": "5deff07b", |
| 1001 | + "id": "74f38a92", |
1002 | 1002 | "metadata": { |
1003 | 1003 | "hide-output": false |
1004 | 1004 | }, |
|
1015 | 1015 | { |
1016 | 1016 | "cell_type": "code", |
1017 | 1017 | "execution_count": null, |
1018 | | - "id": "04759d61", |
| 1018 | + "id": "5fe33904", |
1019 | 1019 | "metadata": { |
1020 | 1020 | "hide-output": false |
1021 | 1021 | }, |
|
1210 | 1210 | }, |
1211 | 1211 | { |
1212 | 1212 | "cell_type": "markdown", |
1213 | | - "id": "77c5c16c", |
| 1213 | + "id": "1a1e4fa2", |
1214 | 1214 | "metadata": {}, |
1215 | 1215 | "source": [ |
1216 | 1216 | "### Examples\n", |
|
1220 | 1220 | }, |
1221 | 1221 | { |
1222 | 1222 | "cell_type": "markdown", |
1223 | | - "id": "8512b58e", |
| 1223 | + "id": "ec9fc988", |
1224 | 1224 | "metadata": {}, |
1225 | 1225 | "source": [ |
1226 | 1226 | "#### 1st example\n", |
|
1239 | 1239 | { |
1240 | 1240 | "cell_type": "code", |
1241 | 1241 | "execution_count": null, |
1242 | | - "id": "bbff9779", |
| 1242 | + "id": "9d5f31f1", |
1243 | 1243 | "metadata": { |
1244 | 1244 | "hide-output": false |
1245 | 1245 | }, |
|
1252 | 1252 | }, |
1253 | 1253 | { |
1254 | 1254 | "cell_type": "markdown", |
1255 | | - "id": "00ca2c11", |
| 1255 | + "id": "7739b0c3", |
1256 | 1256 | "metadata": {}, |
1257 | 1257 | "source": [ |
1258 | 1258 | "Let’s plot the agents’ time-1 endowments with respect to shocks to see\n", |
|
1262 | 1262 | { |
1263 | 1263 | "cell_type": "code", |
1264 | 1264 | "execution_count": null, |
1265 | | - "id": "d1e76cc1", |
| 1265 | + "id": "b43f1d9d", |
1266 | 1266 | "metadata": { |
1267 | 1267 | "hide-output": false |
1268 | 1268 | }, |
|
1299 | 1299 | }, |
1300 | 1300 | { |
1301 | 1301 | "cell_type": "markdown", |
1302 | | - "id": "2447152f", |
| 1302 | + "id": "fdd12701", |
1303 | 1303 | "metadata": {}, |
1304 | 1304 | "source": [ |
1305 | 1305 | "Let’s also compare the optimal capital stock, $ k $, and optimal\n", |
|
1309 | 1309 | { |
1310 | 1310 | "cell_type": "code", |
1311 | 1311 | "execution_count": null, |
1312 | | - "id": "67f5ccab", |
| 1312 | + "id": "db23c700", |
1313 | 1313 | "metadata": { |
1314 | 1314 | "hide-output": false |
1315 | 1315 | }, |
|
1332 | 1332 | }, |
1333 | 1333 | { |
1334 | 1334 | "cell_type": "markdown", |
1335 | | - "id": "85e2896d", |
| 1335 | + "id": "e58214e0", |
1336 | 1336 | "metadata": {}, |
1337 | 1337 | "source": [ |
1338 | 1338 | "#### 2nd example\n", |
|
1347 | 1347 | { |
1348 | 1348 | "cell_type": "code", |
1349 | 1349 | "execution_count": null, |
1350 | | - "id": "bf784b08", |
| 1350 | + "id": "66ba5efa", |
1351 | 1351 | "metadata": { |
1352 | 1352 | "hide-output": false |
1353 | 1353 | }, |
|
1379 | 1379 | { |
1380 | 1380 | "cell_type": "code", |
1381 | 1381 | "execution_count": null, |
1382 | | - "id": "b4fa0b26", |
| 1382 | + "id": "0bc3b9ee", |
1383 | 1383 | "metadata": { |
1384 | 1384 | "hide-output": false |
1385 | 1385 | }, |
|
1392 | 1392 | { |
1393 | 1393 | "cell_type": "code", |
1394 | 1394 | "execution_count": null, |
1395 | | - "id": "298d7ddb", |
| 1395 | + "id": "6bff4bd5", |
1396 | 1396 | "metadata": { |
1397 | 1397 | "hide-output": false |
1398 | 1398 | }, |
|
1406 | 1406 | { |
1407 | 1407 | "cell_type": "code", |
1408 | 1408 | "execution_count": null, |
1409 | | - "id": "96992fe8", |
| 1409 | + "id": "1d8ea7bb", |
1410 | 1410 | "metadata": { |
1411 | 1411 | "hide-output": false |
1412 | 1412 | }, |
|
1437 | 1437 | } |
1438 | 1438 | ], |
1439 | 1439 | "metadata": { |
1440 | | - "date": 1705362575.7795472, |
| 1440 | + "date": 1705369584.2645504, |
1441 | 1441 | "filename": "BCG_complete_mkts.md", |
1442 | 1442 | "kernelspec": { |
1443 | 1443 | "display_name": "Python", |
|
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