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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...
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 ...