Nicole El Karoui

Nicole El Karoui is a French mathematician and pioneer in the development of mathematical finance, born May 29, 1944, in Paris. She is considered one of the pioneers on the French school of mathematical finance and trained many engineers and scientists in this field. She is Professor Emeritus of Applied Mathematics at Sorbonne University, and held professorship positions at the École Polytechnique and Université du Maine. Her research has contributed to the application of probability and stochastic differential equations to modeling and risk management in financial markets.

Nicole El Karoui
Nicole El Karoui 2008.jpg
Nicole El Karoui, 2008
Born (1944-05-29) May 29, 1944 (age 76)
Nationality France
Known forContributions to probability theory and mathematical finance
Scientific career
InstitutionsParis VI University, Ecole Polytechnique
Doctoral studentsSylvie Méléard


The reputation of Professor El Karoui's classes is such that Wall Street Journal opines that there may be too many of her students in important positions handling financial derivatives.[1] In an interview with the Wall Street Journal, Rama Cont, a well-known mathematician, described a degree with Ms. El Karoui's name on it as "the magic word that opened doors for young people."[2]

El Karoui was the co-director, with Marc Yor and Gilles Pagès, of the Masters program in Probability & Finance,[3] jointly operated by École Polytechnique and the Pierre and Marie Curie University (Paris VI), which she co-founded with Helyette Geman.[4] This program, usually called "DEA El Karoui", is one of the most prestigious programs in quantitative finance in the world and No 1 in France.[5]

Scientific contributionsEdit

Nicole El Karoui's research is focused on probability theory, stochastic control theory and mathematical finance. Her contributions focused on the mathematical theory of stochastic control, backward stochastic differential equations and their application in mathematical finance. She is particularly known for her work on the robustness of the Black-Scholes hedging strategy, superhedging of contingent claims and the change of numéraire method for option pricing.

Selected publicationsEdit

  • El Karoui, Nicole (1981). Les Aspects Probabilistes Du Controle Stochastique. Lecture Notes in Mathematics. 876. pp. 73–238. doi:10.1007/BFb0097499. ISBN 978-3-540-10860-3.
  • El Karoui, Nicole; Quenez, Marie-Claire (1995). "Dynamic Programming and Pricing of Contingent Claims in an Incomplete Market". SIAM J. Control Optim. 33: 29–66. doi:10.1137/S0363012992232579.
  • El Karoui, Nicole; Jeanblanc, Monique; Shreve, Steven (1998). "Robustness of the Black and Scholes Formula". Mathematical Finance. 8 (2): 93–126. CiteSeerX doi:10.1111/1467-9965.00047.
  • El Karoui, Nicole; Quenez, Marie-Claire; Peng, Shige (1997). "Backward Stochastic Differential Equations in Finance". Mathematical Finance. 7: 1–71. doi:10.1111/1467-9965.00022.
  • El Karoui, Nicole; Geman, Helyette; Rochet, Jean-Charles (1995). "Changes of Numeraire, Changes of Probability Measure and Option Pricing". Journal of Applied Probability. 32 (2): 443–458. doi:10.2307/3215299. JSTOR 3215299.


Professor El Karoui is a Chevalier de l'ordre de la légion d'honneur.[6]


  1. ^ Mollenkamp, Carrick (2006-03-09). "Why Students Of Prof. El Karoui Are In Demand -". Retrieved 2012-10-19.
  2. ^ Mollenkamp, Carrick (2006-03-09). "Why Students Of Prof. El Karoui Are In Demand -". Retrieved 2012-10-19.
  3. ^ "Master : Probabilités et Finance (thématique)". Archived from the original on 2011-11-25. Retrieved 2012-10-19.
  4. ^ Mollenkamp (2006-03-09). "Why Students of Prof. El Karoui are in demand". Bloomberg. Retrieved 2013-01-02.
  5. ^ "Classement thématique master finance de marché - Emploi stage finance de marche Ingenieur Master DEA DESS mastere Doctorat MSc MS Phd, Finance Quantitative, IT Finance, Mathematique financiere et informatique, ingénierie financière, France et international". Retrieved 2012-10-19.
  6. ^ Marc Champenois (2006-04-14). "Ordre de la Légion d'honneur - Nominations, promotions et élévations du 14-04-2006". Retrieved 2012-10-19.

External linksEdit