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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 ...
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 ...
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 ...
Jump-diffusion models with two stochastic factors for pricing swing options in electricity markets with partial-integro differential equations
(Elsevier, 2019)
[Abstract] In this paper we consider the valuation of swing options with the possibility of incorporating spikes in the underlying electricity price. This kind of contracts are modelled as path dependent options with ...
Mathematical analysis of obstacle problems for pricing fixed-rate mortgages with prepayment and default options
(Elsevier, 2018)
[Abstract] In this paper, we address the mathematical analysis of a partial differential equation model for pricing fixed-rate mortgages with prepayment and default options, where the underlying stochastic factors are the ...
Effects of jump-diffusion models for the house price dynamics in the pricing of fixed-rate mortgages, insurance and coinsurance
(Elsevier, 2015)
[Abstract] In the pricing of fixed rate mortgages with prepayment and default options, we introduce jump-diffusion models for the house price evolution. These models take into account sudden changes in the price (jumps) ...
PDE Models for the Pricing of a Defaultable Coupon-Bearing Bond Under an Extended JDCEV Model
(Elsevier, 2021)
[Abstract] We consider a two-factor model for the pricing of a non callable defaultable bond which pays coupons at certain given dates. The model under consideration is the Jump to Default Constant Elasticity of Variance ...