Science des données, transformation digitale, risques et systèmes complexes

@article{amirat_1,

title = {Steady state solutions of ferrofluid flow model},

author = {Youcef Amirat and Kamel Hamdache},

url = {http://aimsciences.org//article/id/a2e59aa5-3139-4991-935d-1fce2bbae304},

year  = {2016},

date = {2016-11-01},

journal = {Communications On Pure And Applied Analysis},

volume = {15},

number = {6},

pages = {2329-2355},

abstract = {We study two models of differential equations for the stationary flow of an incompressible viscous magnetic fluid subjected to an external magnetic field. The first model, called Rosensweig's model, consists of the incompressible Navier-Stokes equations, the angular momentum equation, the magnetization equation of Bloch-Torrey type, and the magnetostatic equations. The second one, called Shliomis model, is obtained by assuming that the angular momentum is given in terms of the magnetic field, the magnetization field and the vorticity. It consists of the incompressible Navier-Stokes equation, the magnetization equation and the magnetostatic equations. We prove, for each of the differential systems posed in a bounded domain of R3 and equipped with boundary conditions, existence of weak solutions by using regularization techniques, linearization and the Schauder fixed point theorem.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{deelstra_31,

title = {The Role of the Dependence between Mortality and Interest Rates when pricing Guaranteed Annuity Options},

author = {Griselda Deelstra and Martino Grasselli and Christopher Van Weverberg},

url = {https://www.sciencedirect.com/science/article/pii/S0167668716301664?via%3Dihub},

year  = {2016},

date = {2016-11-01},

journal = {Insurance Mathematics & Economics},

volume = {71},

pages = {p205-p219},

abstract = {In this paper we investigate the consequences on the pricing of insurance contingent claims when we relax the typical independence assumption made in the actuarial literature between mortality risk and interest rate risk. Starting from the Gaussian approach of Liu et al. (2014), we consider some multifactor models for the mortality and interest rates based on more general affine models which remain positive and we derive pricing formulas for insurance contracts like Guaranteed Annuity Options (GAOs). In a Wishart affine model, which allows for a non-trivial dependence between the mortality and the interest rates, we go far beyond the results found in the Gaussian case by Liu et al. (2014), where the value of these insurance contracts can be explained only in terms of the initial pairwise linear correlation.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{grasselli_42,

title = {A Flexible Spot Multiple-Curve Model},

author = {Martino Grasselli and Giulio Miglietta},

url = {https://www.tandfonline.com/doi/abs/10.1080/14697688.2015.1108521},

year  = {2016},

date = {2016-10-01},

journal = {Quantitative Finance},

volume = {16},

number = {10},

pages = {p1465-p1477},

abstract = {We propose a model for the instantaneous risk-free spot rate and for the spot LIBOR, driven by a time-homogeneous Markovian process. We introduce deterministic time-shifts in order to match any initial term-structure. By doing so, the model automatically becomes an exogenous term-structure model, in the spirit of Brigo and Mercurio (2001) who proposed this approach in the single curve case. A calibration exercise based on real data illustrates the flexibility of our approach for some typical speci fications used in the literature and in the bank industry.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_49,

title = {Global weak solutions to a model of micropolar fluids with maxwell-cattaneo heat transfer law},

author = {Kamel Hamdache and Djamila Hamroun and Asma Louardani},

url = {http://www.sciencedirect.com/science/article/pii/S0362546X16300529},

year  = {2016},

date = {2016-07-01},

journal = {Nonlinear Analysis-Theory Methods & Applications},

volume = {142},

pages = {69-96},

abstract = {This work is devoted to the study of a system describing the dynamics of a heated micropolar fluid under the action of an applied magnetic field. The heat transfer is subjected to Maxwell-Cattaneo law instead of the usual Fourier law. Thanks to regularization and compactness methods the global existence in time of weak solutions with finite energy has been proved.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hubert_52,

title = {Influence of Biaxial Stress on Magnetic Behavior of Dual-Phase Steel-Experiments and Modeling},

author = {Olivier Hubert and Frédérick Sorel Mballa-Mballa and Song He and Sophie Depeyre},

url = {https://ieeexplore.ieee.org/document/7372462},

year  = {2016},

date = {2016-07-01},

journal = {Ieee Transactions On Magnetics},

volume = {52},

number = {5},

pages = {1-4},

abstract = {Online magnetic nondestructive evaluation (NDE) of dual-phase (DP) steels is made on bands submitted to high multiaxial stress. Extraction of microstructural information from the measurement requires separating the effect of stress and microstructure. Coupled magnetomechanical micromagnetic modeling is relevant for that purpose. In this paper, the magnetic behavior of a DP steel under biaxial stress is carried out and compared with the modeling. It is shown that the discrepancies observed between experiments and model can be explained by the 2-D assumption.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_48,

title = {Global existence and long time behavior of solutions to a model of ferroelectric materials},

author = {Kamel Hamdache and Djamila Hamroun},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0022247X16001177?via%3Dihub},

year  = {2016},

date = {2016-06-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {438},

number = {2},

pages = {668-700},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{caldana_18,

title = {General closed-form basket option pricing bounds},

author = {Ruggero Caldana and Alexandro Gnoatto and Martino Grasselli},

url = {https://www.tandfonline.com/doi/abs/10.1080/14697688.2015.1073854},

year  = {2016},

date = {2016-04-01},

journal = {Quantitative Finance},

volume = {16},

number = {4},

pages = {p535-p554},

abstract = {This article presents lower and upper bounds on the prices of basket options for a general class of continuous-time financial models. The techniques we propose are applicable whenever the joint characteristic function of the vector of log-returns is known in closed-form. Moreover, the basket value is not required to be positive. We test our new bounds on different multivariate models, allowing for jumps and stochastic volatility. Numerical examples are discussed and benchmarked against Monte Carlo simulations. All bounds are general and do not require any additional assumption on the characteristic function, so our methods may be employed also to non-affine models. All bounds involve the computation of one-dimensional Fourier transforms, hence they do not suffer from the curse of dimensionality. In particular, our new lower bound turns out to be fast and accurate.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{brunel_15,

title = {Expected Credit Loss vs Credit Value Adjustment: a comparative Analysis},

author = {Vivien Brunel and Stéphane Crépey and Monique Jeanblanc},

url = {https://econpapers.repec.org/article/rbqjournl/},

year  = {2016},

date = {2016-03-01},

journal = {Bankers, Markets & Investors},

volume = {141},

pages = {p6-p18},

abstract = {The recent publication of the IFRS 9 norms related to collective provisions for non defaulted instruments has settled a new vision to banking book portfolios. In this paper we show that the IFRS 9 provision measured through the Expected Credit Loss (ECL), inspired from a market vision on loan books, is very similar to the Credit Value Adjustment (CVA) for derivative exposures. However, even if the underlying formulas are identical, the metrics and parameters are not the same. Hence, though ECL and CVA measure similar effects, they involve different modelling challenges.},

note = {https://EconPapers.repec.org/RePEc:rbq:journl:i:141:p:6-18},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{braouezec_11,

title = {Option Pricing Bounds in a Finite Market Model: A Simple Geometric Approach Using Barycentric Coordinates},

author = {Yann Braouezec and Cyril Grunspan},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0377221715007614?via%3Dihub},

year  = {2016},

date = {2016-02-01},

journal = {European Journal Of Operational Research},

volume = {249},

number = {1},

pages = {p270-p280},

abstract = {We use a simple geometric approach to obtain the bounds of a given option's contract in a finite market model, and this requires to determine a sequence of convex hulls in a multiperiod model. Our approach allows us not only to graphically visualize the option pricing bounds, but also to obtain a very simple proof of the equivalence between the existence of a particular martingale measure and the absence of arbitrage for a given option's contract.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{grasselli_41,

title = {Stochastic Skew and Target Volatility Options},

author = {Martino Grasselli and Jacinto Marabel Romo},

url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/fut.21720},

year  = {2016},

date = {2016-02-01},

journal = {Journal Of Futures Markets},

volume = {26},

number = {2},

pages = {174-193},

abstract = {Target volatility options (TVO) are a new class of derivatives whose payoff depends on some measure of volatility. These options allow investors to take a joint exposure to the evolution of the underlying asset, as well as to its realized volatility. In equity options markets the slope of the skew is largely independent of the volatility level. A single-factor Heston based volatility model can generate steep skew or flat skew at a given volatility level but cannot generate both for a given parameterization. Since the payoff corresponding to TVO is a function of the joint evolution of the underlying asset and its realized variance, the consideration of stochastic skew is a relevant question for the valuation of TVO.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{da_fonseca_816,

title = {Analytic Pricing of Volatility- Equity Options within Affine Models: an Efficient Conditioning Technique},

author = {José Da Fonseca and Alexandro Gnoatto and Martino Grasselli},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0167637715001285},

year  = {2015},

date = {2015-06-03},

journal = {Operations Research Letters},

volume = {43},

number = {6},

pages = {601-607},

abstract = {We price for different affine stochastic volatility models some derivatives that recently appeared in the  market. These products  are characterized by payoffs depending on both stock and its volatility. We provide closed-form solution for different products and two multivariate Wishart-based stochastic volatility models. The methodology turns out to be independent of the dimension of the problem. Overall, our results highlight the great flexibility and tractability of Wishart-based stochastic volatility models to develop multivariate extensions of the Heston model.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{baldeaux_334,

title = {Pricing currency derivatives under the benchmark approach},

author = {Jan Baldeaux and Martino Grasselli and Eckhard Platen},

url = {http://www.sciencedirect.com/science/article/pii/S0378426614003847},

year  = {2015},

date = {2015-04-01},

journal = {Journal Of Banking & Finance},

volume = {53},

pages = {34-48,},

abstract = {This paper considers the realistic modelling of derivative contracts on exchange rates. We propose a stochastic volatility model that recovers not only the typically observed implied volatility smiles and skews for short dated vanilla foreign exchange options but allows one also to price payoffs in foreign currencies, lower than possible under classical risk neutral pricing, in particular, for long dated derivatives. The main reason for this important feature is the strict supermartingale property of benchmarked savings accounts under the real world probability measure, which the calibrated parameters identify under the proposed model. Using a real dataset on vanilla option quotes, we calibrate our model on a triangle of currencies and find that the risk neutral approach fails for the calibrated model, while the benchmark approach still works.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gaudiello_341,

title = {A reduced model for the polarization in a ferroelectric thin wire},

author = {Antonio Gaudiello and Kamel Hamdache},

url = {https://link.springer.com/article/10.1007%2Fs00030-015-0348-8},

year  = {2015},

date = {2015-04-01},

journal = {Nodea-Nonlinear Differential Equations And Applications},

volume = {22},

number = {6},

pages = {1883-1896},

abstract = {In this paper, starting from a non-convex and nonlocal 3Dvariational model for the electric polarization in a ferroelectric material, via an asymptotic process we obtain a rigorous 1D-variational model for a thin wire.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{chiarella_420,

title = {Pricing Range Notes within Wishart Affine Models},

author = {Carl Chiarella and José Da Fonseca and Martino Grasselli},

url = {http://www.sciencedirect.com/science/article/pii/S0167668714000948},

year  = {2014},

date = {2014-09-01},

journal = {Insurance Mathematics & Economics},

volume = {58},

number = {1},

pages = {193-203},

abstract = {We provide analytic pricing formulas for Fixed and Floating Range Accrual Notes within the multifactor Wishart affine framework which extends significantly the standard affine model. Using estimates for three short rate models, two of which are based on the Wishart process whilst the third one belongs to the standard affine framework, we price these structured products using the FFT methodology. Thanks to the Wishart tractability the hedge ratios are also easily computed. As the models are estimated on the same dataset, our results illustrate how the fit discrepancies (meaning differences in the likelihood functions) between models translate in terms of derivatives pricing errors, and we show that the models can produce different price evolutions for the Range Accrual Notes. The differences can be substantial and underline the importance of model risk both from a static and dynamic perspective. These results are confirmed by an analysis performed at the hedge ratios level.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{chareyron_342,

title = {Patrolling TripAdvisor: Re-purposing large data-sets in Tourism research},

author = {Gaël Chareyron and Bérangère Branchet and Jérôme Da Rugna and Sébastien Jacquot},

url = {https://www.espacestemps.net/articles/etudier-tripadvisor/},

year  = {2014},

date = {2014-08-01},

journal = {EspacesTemps.net},

keywords = {},

pubstate = {online},

tppubtype = {article}

}

@article{gnoatto_426,

title = {An affine multi-currency model with stochastic volatility and stochastic interest rates},

author = {Alexandro Gnoatto and Martino Grasselli},

url = {https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2226499},

year  = {2014},

date = {2014-08-01},

journal = {Siam Journal On Financial Mathematics},

volume = {5},

pages = {493-531},

abstract = {We introduce a tractable multi-currency model with stochastic volatility and correlated stochastic interest rates that takes into account the smile in the FX market and the evolution of yield curves. The pricing of vanilla options on FX rates can be efficiently performed through the FFT methodology thanks to the affine property of the model. Our framework is also able to describe many non trivial links between FX rates and interest rates: a calibration exercise highlights the ability of the model to t simultaneously FX implied volatilities while being coherent with interest rate products.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{da_fonseca_421,

title = {Estimating the Wishart Affi ne Stochastic Correlation Model using the Empirical Characteristic Function},

author = {José Da Fonseca and Martino Grasselli and Florian Ielpo},

url = {https://papers.ssrn.com/sol3/papers.cfm?abstract_id=1054721},

year  = {2014},

date = {2014-06-01},

journal = {Studies In Nonlinear Dynamics And Econometrics},

volume = {18},

number = {3},

pages = {253-289},

abstract = {Abstract: This paper provides the first estimation strategy for the Wishart Affine Stochastic Correlation (WASC) model. We provide elements showing that the use of empirical characteristic function-based estimates is advisable as this function is exponential affine in the WASC case. We use a GMM estimation strategy with a continuum of moment conditions based on the characteristic function. We present the estimation results obtained using a dataset of equity indexes. The WASC model captures most of the known stylized facts associated with financial markets, including leverage and asymmetric correlation effects.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gnoatto_427,

title = {The explicit Laplace transform for the Wishart process},

author = {Alexandro Gnoatto and Martino Grasselli},

url = {https://www.cambridge.org/core/journals/journal-of-applied-probability/article/explicit-laplace-transform-for-the-wishart-process/96D33CAE7D09562034079343F66FFBCF},

year  = {2014},

date = {2014-05-01},

journal = {Journal Of Applied Probability},

volume = {51},

number = {3},

pages = {640-656},

abstract = {We derive the explicit formula for the joint Laplace transform of the Wishart process and its time integral, which extends the original approach of Bru (1991). We compare our methodology with the alternative results given by the variation-of-constants method, the linearization of the matrix Riccati ordinary differential equation, and the Runge-Kutta algorithm. The new formula turns out to be fast and accurate.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}