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Louis Bachelier

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books). Both of Louis's parents died just after he completed his high school diploma ("baccalauréat" in French), forcing him to take care of his sister and three-year-old brother and to assume the family business, which effectively put his graduate studies on hold. During this time Bachelier gained a
432:, which is very closely related, as the idea of a random walk is suited to predict the random future in a stock market where everyone has all the available information. His work in finance is recognized as one of the foundations for the 388:
Besides the setback that the war had caused him, Bachelier was blackballed in 1926 when he attempted to receive a permanent position at Dijon. This was due to a "misinterpretation" of one of Bachelier's papers by Professor
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Defended on 29 March 1900 at the University of Paris, Bachelier's thesis was not well received because it attempted to apply mathematics to an area mathematicians found unfamiliar. However, his instructor,
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Bachelier's theory of speculation is demonstrated by this 8 ft tall Probability Machine comparing stock market returns to the randomness of the beans dropping through the quincunx pattern
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intervened and he was drafted into the French army as a private. His army service ended on December 31, 1918. In 1919, he found a position as an assistant professor in
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was "the highest note which could be awarded for a thesis that was essentially outside mathematics and that had a number of arguments far from being rigorous".
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reasoning can be extended with a few changes to the theory of errors. ... It is regrettable that M. Bachelier did not develop this part of his thesis further.
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Bachelier's doctoral thesis, which introduced the first mathematical model of Brownian motion and its use for valuing
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Jean-Michel Courtault; Yuri Kabanov; Bernard Bru; Pierre Crépel; Isabelle Lebon; Arnaud Le Marchand (2000).
361:(Games, Chance, and Randomness), that sold over six thousand copies. With the support of the Council of the 349:
For several years following the successful defense of his thesis, Bachelier further developed the theory of
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who translated Bachelier's thesis into English and brought the work of Bachelier to the attention of
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by five years, the pioneering nature of his work was recognized only after several decades, first by
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Combined volume prints of Théorie de la spéculation (1900b) and Théorie mathématique du jeu (1901)
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Louis Bachelier webpage at the Université de Franche-Comté, Besançon / France. Text in French.
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Mouvement d’un point ou d’un systĂšme matĂ©riel soumis Ă  l’action de forces dĂ©pendant du hasard
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Bulletin de la Société Mathématique de France. Vie de la Société. Comptes Rendus des Séances
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Bulletin de la Société Mathématique de France. Vie de la Société. Comptes Rendus des Séances
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at Le Havre. His mother was the daughter of an important banker (who was also a writer of
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at the turn of the 20th century. He is credited with being the first person to model the
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practical acquaintance with the financial markets. His studies were further delayed by
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Courtault, J-M.; Kabanov, Y.; Bru, B.; Crépel, P.; Lebon, I.; Le Marchand, A. (2000),
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Bachelier, L. (1925), "Quelques curiosités paradoxales du calcul des probabilités",
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has been influential in the development of other widely used models, including the
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The Physics of Wall Street: A Brief History of Predicting the Unpredictable
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in 1925, but was finally awarded a permanent professorship in 1927 at the
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Louis Bachelier's Theory of Speculation: the Origins of Modern Finance
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Bachelier's and other academic's contribution to financial science.
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Translated into English with additional commentary and background,
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The Misbehavior of Markets: A Fractal View of Financial Turbulence
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Le problÚme général des probabilités dans les épreuves répétées
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service. Bachelier arrived in Paris in 1892 to study at the
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Quelques curiosités paradoxales du calcul des probabilités
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Bachlier and his Times: A Conversation with Bernard Bru
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Les lois des grands nombres du Calcul des Probabilités
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Les lois des grands nombres du Calcul des Probabilités
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Théorie de la spéculation (The Theory of Speculation)
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Comptes-rendus des Séances de l'Académie des Sciences
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Comptes-rendus des Séances de l'Académie des Sciences
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Comptes-rendus des Séances de l'Académie des Sciences
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Comptes-rendus des Séances de l'Académie des Sciences
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Comptes-rendus des Séances de l'Académie des Sciences
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Comptes-rendus des Séances de l'Académie des Sciences
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Louis Bachelier par Laurent Carraro et Pierre Crepel
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and was accepted for publication in the prestigious
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very original, and all the more interesting in that
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and a pioneer in the study of stochastic processes.
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French pioneer in mathematical economics (1870-1946)
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Annales Scientifiques de l'École Normale SupĂ©rieure
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Annales Scientifiques de l'École Normale SupĂ©rieure
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Annales Scientifiques de l'École Normale SupĂ©rieure
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Annales Scientifiques de l'École Normale SupĂ©rieure
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Annales Scientifiques de l’École Normale SupĂ©rieure
1556:, vol. 1, New York: Charles Scribner's Sons, 1273: 652: 1628: 1346:Les nouvelles mĂ©thodes du Calcul des ProbabilitĂ©s 705:Les nouvelles mĂ©thodes du Calcul des ProbabilitĂ©s 668:Le problĂšme gĂ©nĂ©ral de la statistique discontinue 1672: 1407:Reprint of Le Jeu, la Chance et le Hasard (1914) 1372:"ProbabilitĂ©s des oscillations maxima (Erratum)" 948: 19:"Bachelier" redirects here. For the artist, see 1513:"On the Centenary of ThĂ©orie de la SpĂ©culation" 198:; 11 March 1870 – 28 April 1946) was a French 1231:, vol. 17, pp. 5–11, archived from 1181:"Les probabilitĂ©s cinĂ©matiques et dynamiques" 240:Bachelier is considered as the forefather of 1457:, Princeton NJ: Princeton University Press, 1335:La spĂ©culation et le Calcul des ProbabilitĂ©s 1144:, vol. 3, no. 27, pp. 339–360 1109:Journal de MathĂ©matiques Pures et AppliquĂ©es 1094:Journal de MathĂ©matiques Pures et AppliquĂ©es 1081:, vol. 3, no. 18, pp. 143–210 696:La spĂ©culation et le Calcul des ProbabilitĂ©s 1475:The Random Character of Stock Market Prices 1111:, vol. 6, no. 4, pp. 395–425 1096:, vol. 6, no. 2, pp. 259–327 978: 577:Les probabilitĂ©s cinĂ©matiques et dynamiques 1598:: CS1 maint: location missing publisher ( 1500:: CS1 maint: location missing publisher ( 1369: 1354: 1256: 1241: 1196: 1178: 1150: 1132: 1117: 1102: 1058: 1052:, vol. 3, no. 17, pp. 21–86 1040: 826:Weatherall, James Owen (January 2, 2013). 825: 721: 709: 633: 624: 581: 572: 544: 535: 526: 517: 457: 445: 1424: 1404: 1387:Reprint of Calcul des probabilitĂ©s (1912) 1384: 1343: 1332: 1321: 1308: 1293: 1222: 1211: 1165: 1087: 1069: 1003: 700: 691: 681: 672: 663: 615: 602: 590: 565: 553: 508: 501: 500:Republished in a book of combined works, 489: 463: 462:Republished in a book of combined works, 333:et al. point out in "On the Centenary of 288:, where his grades were less than ideal. 1135:"Les probabilitĂ©s Ă  plusieurs variables" 1640:MacTutor History of Mathematics Archive 1472: 1389:, vol. 1, Editions Jacques Gabay, 1105:"Étude sur les probabilitĂ©s des causes" 469: 1673: 1357:"ProbabilitĂ©s des oscillations maxima" 834:. Houghton Mifflin Harcourt. pp.  540:Les probabilitĂ©s Ă  plusieurs variables 291: 187:Louis Jean-Baptiste Alphonse Bachelier 1571: 1549: 792: 522:Étude sur les probabilitĂ©s des causes 325:. While it did not receive a mark of 193: 1090:"ThĂ©orie des probabilitĂ©s continues" 902: 900: 898: 896: 894: 714:ProbabilitĂ©s des oscillations maxima 1581:, Boston University, archived from 1483: 482: 13: 1686:20th-century French mathematicians 1681:19th-century French mathematicians 1553:Dictionary of Scientific Biography 1312:Revue de MĂ©taphysique et de Morale 513:ThĂ©orie des probabilitĂ©s continues 344: 210:, as part of his doctoral thesis 14: 1732: 1607: 1244:"Sur la thĂ©orie des corrĂ©lations" 1199:"Les probabilitĂ©s semi-uniformes" 891: 1315:, vol. 32, pp. 311–320 357:. In 1914, he published a book, 36: 1721:Knights of the Legion of Honour 1484:Bachelier, L.; May, D. (2011), 1190:, vol. 30, pp. 77–119 1172:, vol. 1, Gauthier-Villars 1005:10.1090/s0002-9904-1914-02484-x 958:, Basic Books, pp. 48–49, 629:Sur la thĂ©orie des corrĂ©lations 586:Les probabilitĂ©s semi-uniformes 359:Le Jeu, la Chance, et le Hasard 317:The thesis received a grade of 1214:Le Jeu, la Chance et le Hasard 972: 942: 852: 819: 798: 786: 595:Le Jeu, la Chance et le Hasard 247: 1: 1716:University of Burgundy alumni 1624:Mathematics Genealogy Project 1259:"Sur les dĂ©cimales du nombre 1072:"ThĂ©orie mathĂ©matique du jeu" 1016: 952:; Hudson, Richard L. (2014), 396:Although Bachelier's work on 1691:French probability theorists 779: 638:Sur les dĂ©cimales du nombre 412:who pointed out his work to 7: 1473:Cootner, P.H., ed. (1964), 1378:, no. 213, p. 220 1229:L'Enseignement MathĂ©matique 1043:"ThĂ©orie de la spĂ©culation" 985:by Louis Bachelier. Tome I" 727: 494:ThĂ©orie mathĂ©matique du jeu 430:efficient-market hypothesis 138:UniversitĂ© de Franche-ComtĂ© 10: 1737: 1696:University of Paris alumni 1477:, Cambridge, MA: MIT Press 1429:, Editions Jacques Gabay, 1409:, Editions Jacques Gabay, 1225:"La pĂ©riodicitĂ© du hasard" 813:www.encyclopediaofmath.org 456:Also published as a book, 18: 1061:ThĂ©orie de la spĂ©culation 883:: CS1 maint: unfit URL ( 607:Translated into English, 481:Translated into English, 468:Translated into English, 450:ThĂ©orie de la spĂ©culation 335:ThĂ©orie de la spĂ©culation 271:, and the vice-consul of 216:ThĂ©orie de la spĂ©culation 212:The Theory of Speculation 180: 168: 152: 129: 119: 112: 101: 93: 85: 66: 44: 35: 28: 1711:Scientists from Le Havre 1645:University of St Andrews 1453:; Etheridge, A. (2006), 620:La pĂ©riodicitĂ© du hasard 439: 1528:10.1111/1467-9965.00098 1370:Bachelier, L. (1941b), 1355:Bachelier, L. (1941a), 1257:Bachelier, L. (1920b), 1242:Bachelier, L. (1920a), 1197:Bachelier, L. (1913b), 1179:Bachelier, L. (1913a), 1169:Calcul des probabilitĂ©s 1151:Bachelier, L. (1910b), 1133:Bachelier, L. (1910a), 1118:Bachelier, L. (1908b), 1103:Bachelier, L. (1908a), 1059:Bachelier, L. (1900b), 1041:Bachelier, L. (1900a), 983:Calcul des ProbabilitĂ©s 928:10.1111/1467-9965.00098 558:Calcul des probabilitĂ©s 404:'s celebrated study of 1425:Bachelier, L. (1995), 1405:Bachelier, L. (1993), 1385:Bachelier, L. (1992), 1344:Bachelier, L. (1939), 1333:Bachelier, L. (1938), 1322:Bachelier, L. (1937), 1294:Bachelier, L. (1923), 1275: 1274:{\displaystyle {\pi }} 1223:Bachelier, L. (1915), 1212:Bachelier, L. (1914), 1166:Bachelier, L. (1912), 1088:Bachelier, L. (1906), 1070:Bachelier, L. (1901), 734:Black–Scholes equation 654: 653:{\displaystyle {\pi }} 383:University of Besançon 315: 252:Bachelier was born in 21:Jean-Jacques Bachelier 1487:Theory of Speculation 1276: 992:Bull. Amer. Math. Soc 759:Louis Bachelier Prize 655: 477:Bachelier et al. 2006 418:Leonard Jimmie Savage 331:Jean-Michel Courtault 307: 218:, defended in 1900). 1631:Robertson, Edmund F. 1572:Taqqu, M.S. (2001), 1520:Mathematical Finance 1263: 979:Rietz H. L. (1914). 916:Mathematical Finance 642: 242:mathematical finance 147:University of Rennes 107:mathematical finance 78:Saint-Servan-sur-Mer 1629:O'Connor, John J.; 1029:Random House, 2004 434:Black–Scholes model 363:University of Paris 351:diffusion processes 292:The doctoral thesis 260:. His father was a 235:Black-Scholes model 143:UniversitĂ© de Dijon 134:University of Paris 97:University of Paris 1550:Felix, L. (1970), 1490:, Google Documents 1348:, Gauthier-Villars 1337:, Gauthier-Villars 1326:, Gauthier-Villars 1271: 1063:, Gauthier-Villars 950:Mandelbrot, Benoit 795:, pp. 366–367 650: 204:stochastic process 1635:"Louis Bachelier" 1563:978-0-684-10114-9 1464:978-0-691-11752-2 1436:978-2-87647-129-0 1416:978-2-87647-147-4 1396:978-2-87647-090-3 410:Andrey Kolmogorov 305:'s law of errors 195:[baʃəlje] 184: 183: 114:Scientific career 1728: 1658: 1647: 1603: 1597: 1589: 1587: 1580: 1566: 1546: 1544: 1538:, archived from 1517: 1505: 1499: 1491: 1478: 1467: 1447:Samuelson, P. A. 1439: 1419: 1399: 1379: 1364: 1349: 1338: 1327: 1316: 1303: 1288: 1280: 1278: 1277: 1272: 1270: 1251: 1236: 1217: 1206: 1191: 1185: 1173: 1160: 1145: 1139: 1127: 1112: 1097: 1082: 1076: 1064: 1053: 1047: 1010: 1009: 1007: 989: 976: 970: 968: 946: 940: 939: 913: 904: 889: 888: 882: 874: 872: 870: 864: 856: 850: 849: 833: 823: 817: 816: 810: 802: 796: 790: 659: 657: 656: 651: 649: 472:, pp. 17–78 197: 192: 170:Doctoral advisor 164: 73: 54: 52: 40: 26: 25: 1736: 1735: 1731: 1730: 1729: 1727: 1726: 1725: 1671: 1670: 1656: 1620:Louis Bachelier 1610: 1591: 1590: 1585: 1578: 1564: 1542: 1515: 1493: 1492: 1465: 1445:Bachelier, L.; 1437: 1417: 1397: 1266: 1264: 1261: 1260: 1183: 1137: 1074: 1045: 1019: 1014: 1013: 987: 977: 973: 966: 947: 943: 911: 905: 892: 876: 875: 868: 866: 862: 858: 857: 853: 846: 824: 820: 808: 804: 803: 799: 791: 787: 782: 769:Vinzenz Bronzin 754:Brownian Motion 739:Bachelier model 730: 722:Bachelier 1941b 710:Bachelier 1941a 645: 643: 640: 639: 634:Bachelier 1920b 625:Bachelier 1920a 582:Bachelier 1913b 573:Bachelier 1913a 545:Bachelier 1910b 536:Bachelier 1910a 527:Bachelier 1908b 518:Bachelier 1908a 458:Bachelier 1900b 446:Bachelier 1900a 442: 406:Brownian motion 347: 345:Academic career 294: 250: 231:Bachelier model 208:Brownian motion 190: 162: 145: 141: 136: 94:Alma mater 81: 75: 71: 62: 56: 50: 48: 31: 30:Louis Bachelier 24: 17: 12: 11: 5: 1734: 1724: 1723: 1718: 1713: 1708: 1703: 1698: 1693: 1688: 1683: 1669: 1668: 1653: 1648: 1626: 1617: 1609: 1608:External links 1606: 1605: 1604: 1568: 1567: 1562: 1547: 1507: 1506: 1480: 1479: 1469: 1468: 1463: 1441: 1440: 1435: 1421: 1420: 1415: 1401: 1400: 1395: 1381: 1380: 1366: 1365: 1351: 1350: 1340: 1339: 1329: 1328: 1318: 1317: 1305: 1304: 1290: 1289: 1269: 1253: 1252: 1238: 1237: 1219: 1218: 1208: 1207: 1193: 1192: 1175: 1174: 1162: 1161: 1147: 1146: 1129: 1128: 1114: 1113: 1099: 1098: 1084: 1083: 1066: 1065: 1055: 1054: 1038: 1018: 1015: 1012: 1011: 998:(5): 268–273. 971: 964: 941: 922:(3): 339–353. 890: 851: 845:978-0547317274 844: 818: 797: 784: 783: 781: 778: 777: 776: 774:Jules Regnault 771: 766: 764:Henri PoincarĂ© 761: 756: 751: 746: 741: 736: 729: 726: 725: 724: 717: 716: 707: 701:Bachelier 1939 698: 692:Bachelier 1938 689: 682:Bachelier 1937 679: 673:Bachelier 1925 670: 664:Bachelier 1923 661: 648: 631: 622: 616:Bachelier 1915 612: 611: 605: 603:Bachelier 1993 598: 597: 591:Bachelier 1914 588: 579: 569: 568: 566:Bachelier 1992 561: 560: 554:Bachelier 1912 551: 542: 533: 524: 515: 509:Bachelier 1906 505: 504: 502:Bachelier 1995 497: 496: 490:Bachelier 1901 486: 485: 479: 473: 466: 464:Bachelier 1995 460: 453: 452: 441: 438: 422:Paul Samuelson 377:. He moved to 346: 343: 327:trĂšs honorable 299:Henri PoincarĂ© 293: 290: 258:Seine-Maritime 249: 246: 182: 181: 178: 177: 175:Henri PoincarĂ© 172: 166: 165: 156: 150: 149: 131: 127: 126: 121: 117: 116: 110: 109: 103: 102:Known for 99: 98: 95: 91: 90: 87: 83: 82: 76: 74:(aged 76) 68: 64: 63: 57: 46: 42: 41: 33: 32: 29: 15: 9: 6: 4: 3: 2: 1733: 1722: 1719: 1717: 1714: 1712: 1709: 1707: 1704: 1702: 1699: 1697: 1694: 1692: 1689: 1687: 1684: 1682: 1679: 1678: 1676: 1667: 1663: 1659: 1654: 1652: 1649: 1646: 1642: 1641: 1636: 1632: 1627: 1625: 1621: 1618: 1615: 1612: 1611: 1601: 1595: 1588:on 2007-06-27 1584: 1577: 1576: 1570: 1569: 1565: 1559: 1555: 1554: 1548: 1545:on 2007-06-22 1541: 1537: 1533: 1529: 1525: 1521: 1514: 1509: 1508: 1503: 1497: 1489: 1488: 1482: 1481: 1476: 1471: 1470: 1466: 1460: 1456: 1452: 1448: 1443: 1442: 1438: 1432: 1428: 1423: 1422: 1418: 1412: 1408: 1403: 1402: 1398: 1392: 1388: 1383: 1382: 1377: 1373: 1368: 1367: 1362: 1358: 1353: 1352: 1347: 1342: 1341: 1336: 1331: 1330: 1325: 1320: 1319: 1314: 1313: 1307: 1306: 1301: 1297: 1292: 1291: 1286: 1282: 1267: 1255: 1254: 1249: 1245: 1240: 1239: 1235:on 2011-07-16 1234: 1230: 1226: 1221: 1220: 1215: 1210: 1209: 1204: 1200: 1195: 1194: 1189: 1182: 1177: 1176: 1171: 1170: 1164: 1163: 1158: 1154: 1149: 1148: 1143: 1136: 1131: 1130: 1125: 1121: 1116: 1115: 1110: 1106: 1101: 1100: 1095: 1091: 1086: 1085: 1080: 1073: 1068: 1067: 1062: 1057: 1056: 1051: 1044: 1039: 1036: 1035:0-09-945786-5 1032: 1028: 1027:Critical Mass 1024: 1021: 1020: 1006: 1001: 997: 993: 986: 984: 975: 967: 965:9780465004683 961: 957: 956: 951: 945: 937: 933: 929: 925: 921: 917: 910: 903: 901: 899: 897: 895: 886: 880: 861: 855: 847: 841: 837: 832: 831: 822: 814: 807: 801: 794: 789: 785: 775: 772: 770: 767: 765: 762: 760: 757: 755: 752: 750: 747: 745: 742: 740: 737: 735: 732: 731: 723: 719: 718: 715: 711: 708: 706: 702: 699: 697: 693: 690: 687: 683: 680: 678: 674: 671: 669: 665: 662: 660: 646: 635: 632: 630: 626: 623: 621: 617: 614: 613: 610: 606: 604: 601:Republished, 600: 599: 596: 592: 589: 587: 583: 580: 578: 574: 571: 570: 567: 564:Republished, 563: 562: 559: 555: 552: 550: 546: 543: 541: 537: 534: 532: 528: 525: 523: 519: 516: 514: 510: 507: 506: 503: 499: 498: 495: 491: 488: 487: 484: 480: 478: 474: 471: 467: 465: 461: 459: 455: 454: 451: 447: 444: 443: 437: 435: 431: 427: 423: 419: 415: 411: 407: 403: 399: 394: 392: 386: 384: 380: 376: 372: 368: 364: 360: 356: 352: 342: 340: 336: 332: 328: 324: 320: 314: 312: 306: 304: 300: 289: 287: 283: 278: 274: 270: 267: 264:merchant and 263: 259: 255: 245: 243: 238: 236: 232: 228: 224: 223:stock options 219: 217: 213: 209: 205: 201: 200:mathematician 196: 188: 179: 176: 173: 171: 167: 160: 157: 155: 151: 148: 144: 139: 135: 132: 128: 125: 122: 118: 115: 111: 108: 104: 100: 96: 92: 88: 84: 79: 70:28 April 1946 69: 65: 60: 55:11 March 1870 47: 43: 39: 34: 27: 22: 1638: 1583:the original 1574: 1552: 1540:the original 1519: 1486: 1474: 1454: 1426: 1406: 1386: 1375: 1360: 1345: 1334: 1323: 1310: 1299: 1284: 1247: 1233:the original 1228: 1213: 1202: 1187: 1168: 1156: 1141: 1123: 1108: 1093: 1078: 1060: 1049: 1037:, pp238–242. 1026: 995: 991: 982: 974: 954: 944: 919: 915: 867:. 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His 163:(1900) 161:  154:Thesis 120:Fields 89:French 1586:(PDF) 1579:(PDF) 1543:(PDF) 1532:S2CID 1516:(PDF) 1184:(PDF) 1138:(PDF) 1075:(PDF) 1046:(PDF) 988:(PDF) 932:S2CID 912:(PDF) 863:(PDF) 838:–11. 809:(PDF) 440:Works 375:Dijon 303:Gauss 256:, in 1600:link 1558:ISBN 1502:link 1459:ISBN 1431:ISBN 1411:ISBN 1391:ISBN 1031:ISBN 960:ISBN 885:link 871:2024 840:ISBN 262:wine 67:Died 45:Born 1660:on 1524:doi 1000:doi 924:doi 428:'s 237:. 1677:: 1643:, 1637:, 1633:, 1596:}} 1592:{{ 1530:, 1518:, 1498:}} 1494:{{ 1449:; 1374:, 1359:, 1298:, 1283:, 1246:, 1227:, 1201:, 1186:, 1155:, 1140:, 1122:, 1107:, 1092:, 1077:, 1048:, 1025:, 996:20 994:. 990:. 930:. 920:10 918:. 914:. 893:^ 881:}} 877:{{ 836:10 811:. 712:, 675:, 666:, 636:, 627:, 618:, 584:, 575:, 547:, 538:, 529:, 520:, 511:, 492:, 448:, 436:. 1602:) 1526:: 1504:) 1281:" 1008:. 1002:: 969:. 938:. 926:: 887:) 873:. 848:. 815:. 214:( 189:( 53:) 49:( 23:.

Index

Jean-Jacques Bachelier

Le Havre
Saint-Servan-sur-Mer
mathematical finance
Mathematics
University of Paris
Université de Franche-Comté
Université de Dijon
University of Rennes
Thesis
Doctoral advisor
Henri Poincaré
[baʃəlje]
mathematician
stochastic process
Brownian motion
stock options
finance
Bachelier model
Black-Scholes model
mathematical finance
Le Havre
Seine-Maritime
wine
amateur
scientist
Venezuela
poetry
military

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