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A Modular Framework for Generic Quantum Algorithms
(MDPI, 2022)
[Abstract] We describe a general-purpose framework to design quantum algorithms. This framework relies on two pillars: a basic data structure called quantum matrix and a modular structure based on three quasi-independent ...
Numerical Solution of a Nonlinear PDE Model for Pricing Renewable Energy Certificates (RECs)
(Elsevier, 2021)
[Abstract] In this article we present a valuation method for Renewable Energy Certificates (RECs) or green certificates. For this purpose, we propose a non-linear PDE model with two stochastic factors: the accumulated green ...
The stochastic θ-SEIHRD model: Adding randomness to the COVID-19 spread
(Elsevier, 2022)
[Abstract]: In this article we mainly extend a newly introduced deterministic model for the COVID-19 disease to a stochastic setting. More precisely, we incorporated randomness in some coefficients by assuming that they ...
XVA in a multi-currency setting with stochastic foreign exchange rates
(Elsevier B.V., 2023-05)
[Abstract]: In the present article we address the modelling and the numerical computation of the total value adjustment for European options in a multi-currency setting when the foreign exchange rates between the different ...
Pricing pension plans under jump–diffusion models for the salary
(Elsevier, 2014)
[Abstract] In this paper we consider the valuation of a defined benefit pension plan in the presence of jumps in the underlying salary and including the possibility of early retirement. We will consider that the salary ...
Global Optimization for Automatic Model Points Selection in Life Insurance Portfolios
(MDPI AG, 2021-02-25)
[Abstract]
Starting from an original portfolio of life insurance policies, in this article we propose a methodology to select model points portfolios that reproduce the original one, preserving its market risk under a ...
Pricing pension plans based on average salary without early retirement: partial differential equation modeling and numerical solution
(Infopro Digital Services, 2012)
[Abstract] In this paper, a partial differential equation model for the pricing of pension plans
based on average salary is posed by using the dynamic hedging methodology. The
existence and uniqueness of solutions for ...
Pricing swing options in electricity markets with two stochastic factors using a partial differential equation approach
(2017)
[Abstract] In this paper, we consider the numerical valuation of swing options in electricity
markets based on a two-factor model. These kinds of contracts are modeled as pathdependent
options with multiple exercise ...
A new numerical method for pricing fixed-rate mortgages withprepayment and default options
(Taylor & Francis Online, 2016)
[Abstract] In this paper we consider the valuation of fixed-rate mortgages including prepayment and default options,where the underlying stochastic factors are the house price and the interest rate. The mathematical modelto ...
Mathematical Analysis and Numerical Methods for Pricing Pension Plans Allowing Early Retirement
(SIAM, 2013)
[Abstract] In this paper, we address the mathematical analysis and numerical solution ofa model for pricing a defined benefit pension plan. More precisely, the benefits received by themember of the plan depend on the ...