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On absolutely continuous compensators and nonlinear filtering equations in default risk models
Azema supermartingale default indicator absolutely continuous compensators pricing of default risk nonlinear filtering
2012/6/5
We discuss the pricing of defaultable assets in an incomplete information model where the default time is given by a first hitting time of an unobservable process. We show that in a fairly general Mar...
Default Risk Modeling Beyond the First-Passage Approximation: Extended Black-Cox Model
Default Risk Modeling the First-Passage Approximation Extended Black-Cox Model
2010/10/18
We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentar...
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 ...