Bibliography
Major publications by the team in recent years
- 1Numerical Methods implemented in the Premia Software, 2009, Bankers, Markets, Investors, Introduction by Agnès Sulem and A. Zanette.
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2A. Alfonsi, A. Fruth, A. Schied.
Optimal execution strategies in limit order books with general shape functions, in: Quantitative Finance, 2009, vol. 10, no 2, p. 143-157, DOI:10.1080/14697680802595700. -
3A. Alfonsi, B. Jourdain.
Exact volatility calibration based on a Dupire-type Call-Put duality for perpetual American options, in: Nonlinear Differential Equations and Applications, 2009, vol. 16, no 4, p. 523-554. -
4V. Bally, M.-P. Bavouzet, M. Messaoud.
Computations of Greeks using Malliavin Calculus in jump type market models, in: Annals of Applied Probability, 2007, vol. 17, p. 33-66. -
5El Hadj Aly. Dia, D. Lamberton.
Continuity Correction for Barrier Options in Jump-Diffusion Models, in: SIAM Journal on Financial Mathematics, 2011, p. 866-900. -
6B. Jourdain.
Probabilités et statistique, Ellipses, 2009. -
7B. Jourdain, J. Lelong.
Robust Adaptive Importance Sampling for Normal Random Vectors, in: Annals of Applied Probability, 2009, vol. 19, no 5, p. 1687-1718.
http://arxiv. org/ pdf/ 0811. 1496v1+ -
8A. Kohatsu-Higa, A. Sulem.
Utility maximization in an insider influenced market, in: Mathematical Finance, 2006, vol. 16, no 1, p. 153–179. -
9D. Lamberton.
Optimal stopping with irregular reward functions, in: Stochastic Processes and their Applications, 2009, vol. 119, p. 3253-3284. -
10B. Øksendal, A. Sulem.
Applied Stochastic Control of Jump Diffusions, Universitext, Second Edition, Springer, Berlin, Heidelberg, New York, 257 pages 2007. -
11B. Øksendal, A. Sulem.
Maximum principles for optimal control of forward-backward stochastic differential equations with jumps, in: SIAM J. Control Optimization, 2009, vol. 48, no 5, p. 2845–2976.
Doctoral Dissertations and Habilitation Theses
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12L. Abbas-Turki.
Calcul parallèle pour les problèmes linéaires, non-linéaires et linéaires inverses en finance, Université Paris-Est, Marne la Vallée, September 21 2012, (Credinext grant). -
13A. Alfonsi.
Discrétisation de processus et modélisation en finance, Université Paris-Est, Ecole des Ponts, December 14 2012, Habilitation à Diriger des Recherches.
Articles in International Peer-Reviewed Journals
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14A. Alfonsi, A. Schied, A. Slynko.
Order Book Resilience, Price Manipulation, and the Positive Portfolio Problem,, in: SIAM J. Finan. Math., 2012, vol. 3, p. 511-533. -
15V. Bally, M. Caballero, B. Fernandez, N. El-Karoui.
Reflected BSDE's, PDE's and Variational Inequalities, in: Bernouilli, 2012, accepted for publication. -
16V. Bally, L. Caramellino.
Positivity and lower bounds for the density of Wiener functionals, in: Potential Analysis, 2012, Accepted.
http://arxiv. org/ abs/ 1004. 5269 -
17N. Belaribi, F. Cuvelier, F. Russo.
A probabilistic algorithm approximating solutions of a singular PDE of porous media type, in: Monte Carlo Methods and Applications, 2012, to appear.
http://dx. doi. org/ doi:10. 1515/ MCMA. 2011. 014 -
18S. Goutte, N. Oudjane, F. Russo.
Variance Optimal Hedging for discrete time processes with independent increments. Application to Electricity Markets, in: Journal of Computational Finance., 2012, to appear. -
19M. Jeunesse, B. Jourdain.
Regularity of the American put option in the Black-Scholes model with general discrete dividends, in: Stochastic Processes and their Applications, 2012, vol. 112, p. 3101-3125.
http://hal. archives-ouvertes. fr/ hal-00633199/ fr/ -
20B. Jourdain.
Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one, in: Electronic Communications in Probability, 2012, vol. 17, no 43, p. 1-12.
http://dx. doi. org/ 10. 1214/ ECP. v17-2115 -
21B. Jourdain, S. Meleard, W. A. Woyczynski.
Lévy flights in evolutionary ecology, in: Journal of Mathematical Biology, 2012, vol. 64, no 4, p. 677-707. -
22B. Jourdain, M. Sbai.
Coupling Index and Stocks, in: Quantitative Finance, 2012, vol. 12, no 5, p. 805-818.
http://dx. doi. org/ doi:10. 1080/ 14697681003785959 -
23B. Jourdain, M. Sbai.
High order discretization schemes for stochastic volatility models, in: Journal of Computational Finance, 2012, accepted. -
24D. Lamberton, M. Mikou.
The smooth-fit property in an exponential Lévy model, in: Journal of Applied Probability, March 2012, vol. 49, no 1, to appear. -
25D. Lamberton, M. Mikou.
Exercise boundary of the American put near maturity in an exponential Lévy model, in: Finance and Stochastics, 2013, to appear. -
26J. Lelong, A. Alfonsi.
A closed-form extension to the Black-Cox model, in: International Journal of Theoretical and Applied Finance, 2012, vol. 15, no 8. -
27J. Lelong.
Asymptotic normality of randomly truncated stochastic algorithms, in: ESAIM Probability and Statistics, 2012, to appear. [ DOI : 10.1051/ps/2011110 ]
http://hal. archives-ouvertes. fr/ hal-00464380/ fr -
28B. Øksendal, A. Sulem.
Forward-Backward Stochastic Differential games and stochastic control under model uncertainty, in: J. Optimization Theory and Applications, 2012.
http://dx. doi. org/ doi:10. 1007/ s10957-012-0166-7 -
29B. Øksendal, A. Sulem.
Singular stochastic Control and Optimal stopping with partial information of Itô-Lévy processes, in: SIAM J. Control & Optim., 2012, vol. 50, no 4, p. 2254–2287.
http://epubs. siam. org/ doi/ abs/ 10. 1137/ 100793931
Scientific Books (or Scientific Book chapters)
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30B. Øksendal, A. Sulem, T. Zhang.
Optimal control of SPDEs with delay and time-advanced backward stochastic partial differential equations, in: Stochastic Analysis and Applications to Finance: Essays in Honour of Jia-an Yan, T. Zhang, X. Zhou (editors), Interdisciplinary Mathematical Sciences, World Scientific, July 2012, no 13.
Internal Reports
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31A. Alfonsi, J. I. Acevedo.
Optimal execution and price manipulations in time-varying limit order books, ENPC, April 2012.
http://hal-enpc. archives-ouvertes. fr/ hal-00687193 -
32A. Alfonsi.
Strong order one convergence of some drift implicit Euler scheme. Application to the CIR process, ENPC, June 2012.
http://hal-enpc. archives-ouvertes. fr/ hal-00709202 -
33A. Alfonsi, A. Kohatsu-Higa, B. Jourdain.
Pathwise optimal transport bounds between a one-dimensional diffusion and its Euler scheme, ENPC, September 2012.
http://hal-enpc. archives-ouvertes. fr/ hal-00727430 -
34A. Alfonsi, A. Schied.
Capacitary Measures for Completely Monotone Kernels Via Singular Control, ENPC, January 2012.
http://hal-enpc. archives-ouvertes. fr/ hal-00659421 -
35H. Amini, A. Minca, A. Sulem.
Optimal control of Financial Contagion, August 2012.
http://papers. ssrn. com/ sol3/ papers. cfm?abstract_id=2128476 -
36G. Fort, B. Jourdain, E. Kuhn, T. Lelièvre, G. Stoltz.
Convergence and efficiency of the Wang-Landau algorithm, 2012.
http://hal. inria. fr/ hal-00721886 -
37M. Gaudenzi, A. Zanette.
Fast binomial procedures for pricing Parisian/ParAsian options, Inria, July 2012, no RR-8033, 15 p.
http://hal. inria. fr/ hal-00721958 -
38S. Goutte, N. Oudjane, F. Russo.
On some expectation and derivative operators related to integral representations of random variables with respect to a PII process, 2012, 29 pages.
http://hal. inria. fr/ hal-00665852 -
39B. Jourdain, T. Lelièvre, B. Miasojedow.
Optimal scaling for the transient phase of Metropolis Hastings algorithms: the longtime behavior, 2012.
http://hal. archives-ouvertes. fr/ hal-00768855 -
40B. Jourdain, T. Lelièvre, B. Miasojedow.
Optimal scaling for the transient phase of the random walk Metropolis algorithm: the mean-field limit, 2012.
http://hal. archives-ouvertes. fr/ hal-00748055 -
41B. Jourdain, J. Reygner.
Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation, 2012.
http://hal-enpc. archives-ouvertes. fr/ hal-00755269 -
42O. Kudryavtsev.
An implementation of the Wiener-Hopf factorization into finite difference methods for option pricing under Lévy processes, Inria, February 2012, no RR-7873, 37 p.
http://hal. inria. fr/ hal-00665482 -
43C. Labart, J. Lelong.
A Parallel Algorithm for solving BSDEs, Inria, March 2012.
http://hal. inria. fr/ hal-00680652 -
44M.-C. Quenez, A. Sulem.
BSDEs with jumps, optimization, and application to dynamic risk measures, Inria, June 2012, no RR-7997.
http://hal. inria. fr/ hal-00709632 -
45M.-C. Quenez, A. Sulem.
Reflected BSDEs and optimal stopping for dynamic risk measures with jumps, Inria, December 2012.
http://arxiv. org/ abs/ 1212. 6744 -
46X. Wei, M. Gaudenzi, A. Zanette.
Pricing Ratchet equity-indexed annuities with early surrender risk in a CIR++ model, Inria, July 2012, no RR-8034, 26 p.
http://hal. inria. fr/ hal-00721963
- 47PREMIA: un outil d'évaluation pour les options, NextOption, 2006.
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48M. Akian, J. Menaldi, A. Sulem.
On an Investment-Consumption model with transaction costs, in: SIAM J. Control and Optim., 1996, vol. 34, p. 329-364. -
49M. Akian, A. Sulem, M. Taksar.
Dynamic optimisation of long term growth rate for a portfolio with transaction costs - The logarithmic utility case, in: Mathematical Finance, 2001, vol. 11, p. 153-188. -
50A. Alfonsi, A. Schied.
Optimal Trade Execution and Absence of Price Manipulations in Limit Order Book Models, in: SIAM J. Finan. Math., 2010, vol. 1, p. 490-522. -
51H. Amini, R. Cont, A. Minca.
Resilience to Contagion in Financial Networks, 2010, Manuscript.
http://ssrn. com/ abstract=1865997 -
52B. Arouna.
Adaptative Monte Carlo method, a variance reduction technique, in: Monte Carlo Methods and Applications, 2004, vol. 10, no 1, p. 1-24. -
53B. Arouna.
Robbins-Monro algorithms and Variance reduction in finance, in: Journal of Computational Finance, 2004, vol. 7, no 2, p. 35-61. -
54P. Artzner, F. Delbaen, J.-M. Eber, D. Heath.
Coherent measures of risk, in: Math. Finance, 1999, vol. 9, no 3, p. 203-228. -
55V. Bally.
An elementary introduction to Malliavin calculus, Inria, Rocquencourt, February 2003, no 4718.
http://hal. inria. fr/ inria-00071868 -
56V. Bally, L. Caramellino, A. Zanette.
Pricing American options by a Monte Carlo method using a Malliavin calculus approach, in: Monte Carlo methods and applications, 2005, vol. 11, no 2, p. 97–133. -
57P. Barrieu, N. El-Karoui.
Optimal derivatives design under dynamic risk measures, in: Mathematics of Finance, Contemporary Mathematics (A.M.S. Proceedings), 2004, p. 13-26. -
58E. Bayraktar, S. Yao.
Optimal stopping for Non-linear Expectations, in: Stochastic Processes and Their Applications, 2011, vol. 121, no 2, p. 185-211 and 212-264. -
59D. Bell.
The Malliavin Calculus, Pitman Monographs and Surveys in Pure and Applied Math., Longman and Wiley, 1987, no 34. -
60T. Bielecki, J. Chancelier, S. Pliska, A. Sulem.
Risk sensitive portfolio optimization with transaction costs, in: Journal of Computational Finance, 2004, vol. 8, p. 39-63. -
61F. Black, M. Scholes.
The pricing of Options and Corporate Liabibilites, in: Journal of Political Economy, 1973, vol. 81, p. 637-654. -
62I. Elsanosi, B. Øksendal, A. Sulem.
Some Solvable Stochastic control Problems with Delay, in: Stochastics and Stochastics Reports, 2000. -
63P. Etoré, B. Jourdain.
Adaptive optimal allocation in stratified sampling methods, in: Methodology and Computing in Applied Probability, 2010, vol. 12, no 3, p. 335-360. -
64J. D. Fonseca, M. Messaoud.
Libor Market Model in Premia: Bermudan pricer, Stochastic Volatility and Malliavin calculus, in: Bankers, Markets, Investors, March-April 2009, vol. Special report: Numerical Methods implemented in the Premia Software, no 99, p. 44–57. -
65E. Fournié, J.-M. Lasry, J. Lebuchoux, P.-L. Lions.
Applications of Malliavin calculus to Monte Carlo methods in Finance, II, in: Finance & Stochastics, 2001, vol. 2, no 5, p. 201-236. -
66E. Fournié, J.-M. Lasry, J. Lebuchoux, P.-L. Lions, N. Touzi.
An application of Malliavin calculus to Monte Carlo methods in Finance, in: Finance & Stochastics, 1999, vol. 4, no 3, p. 391-412. -
67N. C. Framstad, B. Øksendal, A. Sulem.
Optimal Consumption and Portfolio in a Jump Diffusion Market with Proportional Transaction Costs, in: Journal of Mathematical Economics, 2001, vol. 35, p. 233-257. -
68M. Fritelli, E. R. Gianin.
Putting order in risk measures, in: J. Banking & Finance, 2002, vol. 26, p. 1473-1486. -
69H. Föllmer, T. Knispel.
Convex Capital Requirements for Large Porfolios, 2011, Preprint, Humboldt University, Berlin, to appear. -
70H. Föllmer, A. Schied.
Convex measures of risk and trading constraints, in: Finance Stoch., 2002, vol. 6, no 4, p. 429-447. -
71J. Garnier, T.-W. Papanicolaou.
Large deviations for a mean field model of systemic risk, 2012, manuscript. -
72P. Gassiat, H. Pham, M. Sirbu.
Optimal investment on finite horizon with random discrete order flow in illiquid markets, in: International Journal of Theoretical and Applied Finance, 2010, vol. 14, p. 17-40. -
73B. Jourdain, J. Lelong.
Robust adaptive importance sampling for normal random vectors, in: Annals of Applied Probability, 2009, vol. 19, no 5, p. 1687-1718. -
74Y. Kabanov, M. Safarian.
Markets with Transaction Costs: Mathematical Theory, Springer Verlag, 2009. -
75R. Kawai.
Adaptive Monte Carlo variance reduction with two-time-scale stochastic approximation, in: Monte Carlo Methods Appl., 2007, vol. 13, no 3, p. 197-217. -
76R. Kawai.
Adaptive Monte Carlo variance reduction for Lévy processes with two-time-scale stochastic approximation, in: Methodol. Comput. Appl. Probab., 2008, vol. 10, no 2, p. 199-223. -
77R. Kawai.
Optimal importance sampling parameter search for Lévy processes via stochastic approximation, in: SIAM J. Numer. Anal., 2008, vol. 47, no 1, p. 293-307. -
78C. Labart, J. Lelong.
Pricing Parisian Options using Laplace transforms, in: Bankers, Markets, Investors, March-April 2009, vol. Special report: Numerical Methods implemented in the Premia Software, no 99, p. 29–43. -
79D. Lamberton, B. Lapeyre, A. Sulem.
Application of Malliavin Calculus to Finance, in: special issue of Mathematical Finance, January 2003. -
80B. Lapeyre, J. Lelong.
A framework for adaptive Monte-Carlo procedures, in: Monte Carlo Methods and Applications, 2011, vol. 17, no 1, p. 77-98. -
81J. Lelong.
Almost sure convergence of randomly truncated stochastic algorithms under verifiable conditions, in: Statistics & Probability Letters, 2008, vol. 78, no 16, p. 2632-2636. -
82P. Malliavin.
Stochastic calculus of variations and hypoelliptic operators, in: Proc. Inter. Symp. on Stoch. Diff. Equations, Kyoto, Wiley 1978, 1976, p. 195-263. -
83P. Malliavin, A. Thalmaier.
Stochastic Calculus of variations in Mathematical Finance, Springer Finance, Springer, 2006. -
84A. Minca.
Modélisation mathématique de la contagion de défaut; Mathematical modeling of financial contagion, Université Pierre et Marie Curie, Paris 6, September 5 2011, Adviser: R. Cont. Partnership with Mathfi. Current Position: Assistant Professor, School of Operations Research and Information Engineering, Cornell University. -
85S. Morris, H. S. Shin..
Illiquidity component of credit risk, 2009, Working paper. -
86D. Nualart.
The Malliavin Calculus and Related Topics, Springer–Verlag, 1995. -
87D. Ocone, I. Karatzas.
A generalized representation formula with application to optimal portfolios, in: Stochastics and Stochastic Reports, 1991, vol. 34, p. 187-220. -
88D. Ocone.
A guide to the stochastic calculus of variations, in: Stochastic Analysis and Related Topics, H. Koerzlioglu, S. Üstünel (editors), Lecture Notes in Math.1316, 1987, p. 1-79. -
89N. Privault, X. Wei.
Calibration of the LIBOR market model - implementation in Premia, in: Bankers, Markets, Investors, March-April 2009, vol. Special report: Numerical Methods implemented in the Premia Software, no 99, p. 20–29. -
90M. Royer.
Backward stochastic differential equations with jumps and related non-linear expectations, in: Stochastic Processes and Their Applications, 2006, vol. 116, p. 1358-1376. -
91F. Russo, P. Vallois.
Stochastic calculus with respect to continuous finite quadratic variation processes, in: Stochastics and Stochastics Reports, 2000, vol. 70, p. 1–40. -
92H. S. Shin..
Risk and Liquidity, Oxford University Press, 2010. -
93Y. Song, J.-A. Yan.
An overview of representation theorems for static risk measures, in: Sci. China Ser. A,, 2009, vol. 52, no 7, p. 1412-1422. -
94A. Sulem.
Dynamic Optimisation for a mixed Portfolio with transaction costs, in: Numerical methods in Finance, 1997, p. 165-180, edited by L.C.G. Rogers and D.Talay, Cambridge University Press, Publications of the Newton Institute. -
95A. Sulem, A. Zanette.
Premia: A Numerical Platform for Pricing Financial Derivatives, in: Ercim News, July 2009, vol. 78. -
96U. Çetin, R. Jarrow, P. Protter.
Liquidity risk and arbitrage pricing theory, in: Finance and Stochastics, 2004, vol. 8.
http://dx. doi. org/ 10. 1007/ s00780-004-0123-x -
97B. Øksendal, A. Sulem, T. Zhang.
Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations, in: Advances in Applied Probability, 2011, vol. 43, p. 572-596. -
98B. Øksendal, A. Sulem.
Optimal Consumption and Portfolio with both fixed and proportional transaction costs: A Combined Stochastic Control and Impulse Control Model, in: SIAM J. Control and Optim., 2002, vol. 40, p. 1765-1790. -
99B. Øksendal, A. Sulem.
Optimal stochastic impulse control with delayed reaction, in: Applied Mathematics and Optimization, 2008, vol. 58, p. 243-255. -
100B. Øksendal, A. Sulem.
Maximum principles for optimal control of forward-backward stochastic differential equations with jumps, in: SIAM J. Control Optimization, 2009, vol. 48, no 5, p. 2845-2976. -
101B. Øksendal.
An Introduction to Malliavin Calculus with Applications to Economics, in: Lecture Notes from a course given 1996 at the Norwegian School of Economics and Business Administration (NHH), September 1996, NHH Preprint Series.