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.
High order discretization schemes for the CIR process: Application to affine term structure and Heston models, in: Stochastic Processes and their Applications, 2010, vol. 79, pp. 209-237.
http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02252-2/home.html -
3A. Alfonsi, A. Fruth, A. Schied.
Optimal execution strategies in limit order books with general shape functions, in: Quantitative Finance, 2009, vol. 10, no 2, pp. 143-157, DOI:10.1080/14697680802595700. -
4A. 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, pp. 523-554. -
5A. Alfonsi, A. Schied.
Optimal Trade Execution and Absence of Price Manipulations in Limit Order Book Models, in: SIAM J. Finan. Math., 2010, vol. 1, no 1, pp. 490-522, dx.doi.org/10.1137/090762786.
http://epubs.siam.org/doi/abs/10.1137/090762786 -
6V. 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, pp. 33-66. -
7El Hadj Aly. Dia, D. Lamberton.
Continuity Correction for Barrier Options in Jump-Diffusion Models, in: SIAM Journal on Financial Mathematics, 2011, pp. 866-900. -
8M. 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, pp. 3101-3125, DOI:10.1016/j.spa.2012.05.009.
http://hal.archives-ouvertes.fr/hal-00633199 -
9B. Jourdain.
Probabilités et statistique, Ellipses, 2009. -
10B. Jourdain, J. Lelong.
Robust Adaptive Importance Sampling for Normal Random Vectors, in: Annals of Applied Probability, 2009, vol. 19, no 5, pp. 1687-1718.
http://arxiv.org/pdf/0811.1496v1+ -
11A. Kohatsu-Higa, A. Sulem.
Utility maximization in an insider influenced market, in: Mathematical Finance, 2006, vol. 16, no 1, pp. 153–179. -
12D. Lamberton.
Optimal stopping with irregular reward functions, in: Stochastic Processes and their Applications, 2009, vol. 119, pp. 3253-3284. -
13B. 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, pp. 572 - 596. -
14B. Øksendal, A. Sulem.
Applied Stochastic Control of Jump Diffusions, Universitext, Second Edition, Springer, Berlin, Heidelberg, New York, 257 pages 2007. -
15B. 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, pp. 2845–2976.
Doctoral Dissertations and Habilitation Theses
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16A. Bouselmi.
Options américaines et processus de Lévy, Université Paris-Est, December 2013.
http://hal.inria.fr/tel-00944239 -
17J. A. Infante Acevedo.
Méthodes et modèles numériques appliqués aux risques du marché et à l'évaluation financière, Université Paris-Est, December 2013.
http://hal.inria.fr/tel-00937131 -
18M. Jeunesse.
Etude de deux problèmes de contrôle stochastique : Put Américain avec dividendes discrets et principe de programmation dynamique avec contraintes en probabilités, Université de Marne la Vallée, January 2013, Redaction : Novembre 2012.
http://hal.inria.fr/tel-00940506
Articles in International Peer-Reviewed Journals
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19A. Ahdida, A. Alfonsi.
A Mean-Reverting SDE on Correlation matrices, in: Stochastic Processes and their Applications, 2013, vol. 123, no 4, pp. 1472-1520. [ DOI : 10.1016/j.spa.2012.12.008 ]
http://hal.inria.fr/hal-00617111 -
20A. Ahdida, A. Alfonsi.
Exact and high order discretization schemes for Wishart processes and their affine extensions, in: Annals of Applied Probability, 2013, vol. 23, no 3, pp. 1025-1073. [ DOI : 10.1214/12-AAP863 ]
http://hal.inria.fr/hal-00491371 -
21A. Alfonsi.
Strong convergence of some drift implicit Euler scheme. Application to the CIR processg, in: Statistics & probability letters, 2013, vol. 83, no 2, pp. 602-607. [ DOI : 10.1016/j.spl.2012.10.034 ]
http://hal.inria.fr/hal-00709202 -
22A. Alfonsi, C. Labart, J. Lelong.
Stochastic Local Intensity Loss Models with Interacting Particle Systems, in: Mathematical Finance, December 2013, pp. 1-29. [ DOI : 10.1111/mafi.12059 ]
http://hal.inria.fr/hal-00786239 -
23A. Alfonsi, A. Schied.
Capacitary measures for completely monotone kernels via singular control, in: SIAM J. Control Optim., 2013, vol. 51, no 2, pp. 1758-1780. [ DOI : 10.1137/120862223 ]
http://hal.inria.fr/hal-00659421 -
24V. Bally, L. Caramellino.
Positivity and lower bounds for the density of Wiener functionals, in: Potential Analysis, 2013, vol. 39, no 2, pp. 141-168. [ DOI : 10.1007/s11118-012-9324-7 ]
http://hal.inria.fr/hal-00936148 -
25C. Fontana, B. Øksendal, A. Sulem.
Viability and martingale measures under partial information, in: Methodology and Computing in Applied Probability, 2014, 26 p. [ DOI : 10.1007/s11009-014-9397-4 ]
http://hal.inria.fr/hal-00789517 -
26B. Jourdain, M. Sbai.
High order discretization schemes for stochastic volatility models, in: Journal of Computational Finance, 2013, vol. 17, no 2, pp. 113-165.
http://hal.inria.fr/hal-00409861 -
27O. Kudryavtsev, A. Zanette.
Efficient pricing of swing options in Lévy-driven models, in: Quantitative Finance, April 2013, vol. 13, no 4, pp. 627-635. [ DOI : 10.1080/14697688.2012.717708 ]
http://hal.inria.fr/hal-00918582 -
28C. Labart, J. Lelong.
A Parallel Algorithm for solving BSDEs, in: Monte Carlo Methods and Applications, March 2013, vol. 19, no 1, pp. 11-39. [ DOI : 10.1515/mcma-2013-0001 ]
http://hal.inria.fr/hal-00680652 -
29D. Lamberton, M. Zervos.
On the Optimal Stopping of a One-dimensional Diffusion, in: Electronic Journal of Probability, February 2013, vol. 18, no 34, pp. 1-49. [ DOI : 10.1214/EJP.v18-2182 ]
http://hal.inria.fr/hal-00720149 -
30J. Lelong.
Asymptotic normality of randomly truncated stochastic algorithms, in: ESAIM: Probability and Statistics, February 2013, vol. 17, pp. 105-119. [ DOI : 10.1051/ps/2011110 ]
http://hal.inria.fr/hal-00464380 -
31A. Minca, A. Sulem.
Optimal Control of Interbank Contagion Under Complete Information, in: Statistics and Risk Modeling, 2014, vol. 31, no 1, pp. 1001-1026. [ DOI : 10.1524/Strm.2014.5005 ]
http://hal.inria.fr/hal-00916695 -
32M.-C. Quenez, A. Sulem.
BSDEs with jumps, optimization and applications to dynamic risk measures, in: Stochastic Processes and their Applications, March 2013, vol. 123, no 8, pp. 3328-3357. [ DOI : 10.1016/j.spa.2013.02.016 ]
http://hal.inria.fr/hal-00709632 -
33X. Wei, M. Gaudenzi, A. Zanette.
Pricing Ratchet equity-indexed annuities with early surrender risk in a CIR++ model, in: North American Actuarial Journal, September 2013, vol. 17, no 3, pp. 229-252. [ DOI : 10.1080/10920277.2013.826126 ]
http://hal.inria.fr/hal-00721963 -
34B. Øksendal, A. Sulem, T. Zhang.
Singular Control and Optimal Stopping of SPDEs, and Backward SPDEs with Reflection, in: Mathematics of Operations Research, June 2013.
http://hal.inria.fr/hal-00919136
Scientific Books (or Scientific Book chapters)
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35C. Fontana, W. Runggaldier.
Diffusion-based models for financial markets without martingale measures, in: Risk Measures and Attitudes, F. Biagini, A. Richter, H. Schlesinger (editors), EAA Series, Springer, 2013, pp. 45-81. [ DOI : 10.1007/978-1-4471-4926.2_4 ]
http://hal.inria.fr/hal-00853874
Internal Reports
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36L. Badouraly Kassim, J. Lelong, I. Loumrhari.
Importance sampling for jump processes and applications to finance, July 2013.
http://hal.inria.fr/hal-00842362 -
37P. Briand, C. Labart.
Simulation of BSDEs by Wiener Chaos Expansion, March 2013.
http://hal.inria.fr/hal-00688523 -
38R. Dumitrescu, M.-C. Quenez, A. Sulem.
Double barrier reflected BSDEs with jumps and generalized Dynkin games, Inria, October 2013, no RR-8381.
http://hal.inria.fr/hal-00873688 -
39R. Dumitrescu, M.-C. Quenez, A. Sulem.
Reflected backward stochastic differential equations with jumps and partial integro-differential variational inequalities, Inria, January 2013, no RR-8213, 23 p.
http://hal.inria.fr/hal-00780601 -
40P. Etoré, S. Labbé, J. Lelong.
Long time behaviour of a stochastic nano particle, January 2014.
http://hal.inria.fr/hal-00680775 -
41C. Fontana.
A note on arbitrage, approximate arbitrage and the fundamental theorem of asset pricing, Inria, April 2013, no RR-8292.
http://hal.inria.fr/hal-00818487 -
42M.-C. Quenez, A. Sulem.
Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps, Inria, January 2013, no RR-8211, 27 p.
http://hal.inria.fr/hal-00780175
Other Publications
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43L. Abbas-Turki, D. Lamberton.
European Options Sensitivity with Respect to the Correlation for Multidimensional Heston Models, October 2013.
http://hal.inria.fr/hal-00867887 -
44A. Alfonsi, B. Jourdain.
A remark on the optimal transport between two probability measures sharing the same copula, July 2013.
http://hal.inria.fr/hal-00844906 -
45A. Alfonsi, A. Schied, F. Klöck.
Multivariate transient price impact and matrix-valued positive definite functions, 2013.
http://hal.inria.fr/hal-00919895 -
46E. Appolloni, L. Caramellino, A. Zanette.
A robust tree method for pricing American options with CIR stochastic interest rate, 2013.
http://hal.inria.fr/hal-00916441 -
47V. Bally, L. Caramellino.
On the distance between probability density functions, 2013.
http://hal.inria.fr/hal-00926401 -
48V. Bally, L. Caramellino.
Regularity of Wiener functionals under an Hörmander type condition of order one, 2013.
http://hal.inria.fr/hal-00926413 -
49V. Bally, A. Kohatsu-Higa.
A probabilistic interpretation of the parametrix method, January 2014.
http://hal.inria.fr/hal-00926479 -
50M. Briani, L. Caramellino, A. Zanette.
A hybrid tree-finite difference approach for the Heston model, 2013.
http://hal.inria.fr/hal-00916440 -
51G. E. Espinosa, C. Hillairet, B. Jourdain, M. Pontier.
Reducing the debt : is it optimal to outsource an investment?, 2013.
http://hal.inria.fr/hal-00824390 -
52B. Jourdain, J. Reygner.
Capital distribution and portfolio performance in the mean-field Atlas model, 2013.
http://hal.inria.fr/hal-00921151 -
53B. Øksendal, A. Sulem.
A stochastic control approach to robust duality in utility maximization, 2013, 25 pages.
http://hal.inria.fr/hal-00916676 -
54B. Øksendal, A. Sulem, T. Zhang.
A stochastic HJB equation for optimal control of forward-backward SDEs, December 2013.
http://hal.inria.fr/hal-00919141
- 55PREMIA: un outil d'évaluation pour les options, NextOption, 2006.
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56M. Akian, J. Menaldi, A. Sulem.
On an Investment-Consumption model with transaction costs, in: SIAM J. Control and Optim., 1996, vol. 34, pp. 329-364. -
57M. 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, pp. 153-188. -
58A. Alfonsi, A. Schied.
Optimal Trade Execution and Absence of Price Manipulations in Limit Order Book Models, in: SIAM J. Finan. Math., 2010, vol. 1, pp. 490-522. -
59H. Amini, R. Cont, A. Minca.
Resilience to Contagion in Financial Networks, in: Mathematical Finance, 2013.
http://dx.doi.org/10.1111/mafi.12051 -
60H. Amini, A. Minca, H. Kebaier, A. Sulem.
Optimal equity infusions in interbank networks with partial observation, 2012. -
61V. Bally.
An elementary introduction to Malliavin calculus, Inria, Rocquencourt, February 2003, no 4718.
http://hal.inria.fr/inria-00071868 -
62V. Bally, L. Caramellino.
Regularity of probability laws by using an interpolation method, 2012.
http://hal.archives-ouvertes.fr/hal-00926415 -
63V. 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, pp. 97–133. -
64D. Bell.
The Malliavin Calculus, Pitman Monographs and Surveys in Pure and Applied Math., Longman and Wiley, 1987, no 34. -
65T. Bielecki, J. Chancelier, S. Pliska, A. Sulem.
Risk sensitive portfolio optimization with transaction costs, in: Journal of Computational Finance, 2004, vol. 8, pp. 39-63. -
66F. Black, M. Scholes.
The pricing of Options and Corporate Liabibilites, in: Journal of Political Economy, 1973, vol. 81, pp. 637-654. -
67I. Elsanosi, B. Øksendal, A. Sulem.
Some Solvable Stochastic control Problems with Delay, in: Stochastics and Stochastics Reports, 2000. -
68J. 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, pp. 44–57. -
69E. 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, pp. 201-236. -
70E. 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, pp. 391-412. -
71N. 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, pp. 233-257. -
72J. Garnier, T.-W. Papanicolaou.
Large deviations for a mean field model of systemic risk, 2012, manuscript. -
73P. 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, pp. 17-40. -
74Y. Kabanov, M. Safarian.
Markets with Transaction Costs: Mathematical Theory, Springer Verlag, 2009. -
75C. 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, pp. 29–43. -
76D. Lamberton, B. Lapeyre, A. Sulem.
Application of Malliavin Calculus to Finance, in: Special issue of the journal Mathematical Finance, January 2003. -
77P. Malliavin.
Stochastic calculus of variations and hypoelliptic operators, in: Proc. Inter. Symp. on Stoch. Diff. Equations, Kyoto, Wiley 1978, 1976, pp. 195-263. -
78P. Malliavin, A. Thalmaier.
Stochastic Calculus of variations in Mathematical Finance, Springer Finance, Springer, 2006. -
79A. 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. -
80D. Nualart.
The Malliavin Calculus and Related Topics, Springer–Verlag, 1995. -
81D. Ocone, I. Karatzas.
A generalized representation formula with application to optimal portfolios, in: Stochastics and Stochastic Reports, 1991, vol. 34, pp. 187-220. -
82D. 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, pp. 1-79. -
83N. 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, pp. 20–29. -
84F. Russo, P. Vallois.
Stochastic calculus with respect to continuous finite quadratic variation processes, in: Stochastics and Stochastics Reports, 2000, vol. 70, pp. 1–40. -
85A. Sulem.
Dynamic Optimisation for a mixed Portfolio with transaction costs, in: Numerical methods in Finance, 1997, pp. 165-180, edited by L.C.G. Rogers and D.Talay, Cambridge University Press, Publications of the Newton Institute. -
86A. Sulem, A. Zanette.
Premia: A Numerical Platform for Pricing Financial Derivatives, in: Ercim News, July 2009, vol. 78. -
87U. 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 -
88B. 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, pp. 572-596. -
89B. 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, pp. 1765-1790. -
90B. Øksendal, A. Sulem.
Optimal stochastic impulse control with delayed reaction, in: Applied Mathematics and Optimization, 2008, vol. 58, pp. 243-255. -
91B. 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.