In this paper, we derive a representation for the value process associated to the solutions of FBSDEs in a jump-diffusion setting under multiple probability measures. Motivated by concrete financial problems, the latter representations are then applied to devise a generalization of the change of num\'eraire technique allowing to obtain recursive pricing formulas in the presence of multiple interest rates and collateralization.Comment: 25 pages. Minor typos remove
We introduce a new class of anticipative backward stochastic differential equations with a dependenc...
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: ...
This paper derives an equilibrium formula for pricing European options and other contingent claims w...
In this article, we derive expressions for conditional expectations in terms of regular expectations...
In this paper we introduce a sublinear conditional operator with respect to a family of possibly non...
Our paper contributes to the theory of conditional risk measures and conditional certainty equivalen...
We consider so-called regular invertible Gaussian Volterra processes and derive a formula for their ...
In this paper we provide a generalization of a Feynmac-Ka\c{c} formula under volatility uncertainty ...
We derive the equilibrium interest rate and risk premiums using recursive utility for jump-di usion...
The concept of conditional expectation is important in applications of probability and statistics in...
In this article, we derive expressions for conditional expectations in terms of regular expectations...
rédigé en mars 2006This document presents my work in mathematical finance and numerical probability ...
We introduce a new class of anticipative backward stochastic differential equations with a dependenc...
International audienceThis paper is concerned with the determination of credit risk premia of defaul...
We consider the stochastic volatility model obtained by adding a compound Hawkes process to the vola...
We introduce a new class of anticipative backward stochastic differential equations with a dependenc...
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: ...
This paper derives an equilibrium formula for pricing European options and other contingent claims w...
In this article, we derive expressions for conditional expectations in terms of regular expectations...
In this paper we introduce a sublinear conditional operator with respect to a family of possibly non...
Our paper contributes to the theory of conditional risk measures and conditional certainty equivalen...
We consider so-called regular invertible Gaussian Volterra processes and derive a formula for their ...
In this paper we provide a generalization of a Feynmac-Ka\c{c} formula under volatility uncertainty ...
We derive the equilibrium interest rate and risk premiums using recursive utility for jump-di usion...
The concept of conditional expectation is important in applications of probability and statistics in...
In this article, we derive expressions for conditional expectations in terms of regular expectations...
rédigé en mars 2006This document presents my work in mathematical finance and numerical probability ...
We introduce a new class of anticipative backward stochastic differential equations with a dependenc...
International audienceThis paper is concerned with the determination of credit risk premia of defaul...
We consider the stochastic volatility model obtained by adding a compound Hawkes process to the vola...
We introduce a new class of anticipative backward stochastic differential equations with a dependenc...
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: ...
This paper derives an equilibrium formula for pricing European options and other contingent claims w...