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Quadratic BSDEs with Jumps and Related Non-linear Expectations: a Fixed-point Approach
BSDEs quadratic growth jumps non-linear Doob-Meyer decomposition dy-namical risk measures inf-convolution.
2012/9/17
We prove the existence of bounded solutions of quadratic backward SDEs with jumps, using a direct fixed point approach as in Tevzadze [35]. Under an additional standard assumption, we prove a uniquene...
Second Order BSDEs with Jumps, Part II: Existence and Applications
Second order backward stochastic differential equation backward stochas-tic differential equation with jumps
2012/9/14
In this paper, we follow the study of second order BSDEs with jumps started in our accompanying paper [17]. We prove existence of these equations bya direct method,thus providing complete wellposednes...
BSDEs in Utility Maximization with BMO Market Price of Risk
BSDEs BMO Market Price of Risk
2011/7/20
This article studies quadratic semimartingale BSDEs arising in power utility maximization
when the market price of risk is of BMO type. In a Brownian setting we provide a necessary and sucient condi...
BSDEs with time-delayed generators of a moving average type with applications to pricing and utilities
backward stochastic differential equations time-delayed
2010/10/21
In this paper we consider backward stochastic differential equations with time-delayed generators of a moving average type. The classical and well-known framework with linear generators depending on $...
Credit risk premia and quadratic BSDEs with a single jump
Backward Stochastic Differential Equations (BSDE) defaultable contingent claims progressive enlargement of filtrations utility maximization
2010/11/1
This paper is concerned with the determination of credit risk premia of defaultable contingent claims by means of indifference valuation principles.Assuming exponential utility preferences we derive r...
Differentiability of quadratic BSDEs generated by continuous martingales
Forward Backward Stochastic Differential Equation driven by continuous martingale quadratic growth Markov property BMO martingale
2010/11/1
In this paper we consider a class of BSDEs with drivers of quadratic growth, on a
stochastic basis generated by continuous local martingales. We first derive the Markov
property of a forward-backwar...
BSDEs with random default time and their applications to default risk
Backward stochastic differential equation Random default time Comparison theorem Zero-sum stochastic differential game
2010/11/2
In this paper we are concerned with backward stochastic differential equations with random default time and their applications to default risk.The equations are driven by Brownian motion as well as a ...
BSDEs with two RCLL Reflecting Obstacles driven by a Brownian Motion and Poisson Measure and related Mixed Zero-Sum Games
BSDEs RCLL Reflecting Obstacles driven Brownian Motion Poisson Measure related Mixed Zero-Sum Games
2010/12/17
In this paper we study Backward Stochastic Differential Equations with two reflecting right continuous with left limits obstacles (or barriers) when the noise is given by Brownian motion and a Poisson...