In the information-based pricing framework of Brody, Hughston & Macrina, the market filtration {F t } tÏ0 {Ft}tÏ0 is generated by an information process {ξ t } tÏ0 {ξt}tÏ0 defined in such a way that at some fixed time T an F T FT -measurable random variable X T XT is "revealed". A cash...

In the information-based pricing framework of Brody, Hughston & Macrina, the market filtration {F t } t≥0 {Ft}t≥0 is generated by an information process {ξ t } t≥0 {ξt}t≥0 defined in such a way that at some fixed time T an F T FT -measurable random variable X T XT is "revealed". A cash...

We consider de Finetti's stochastic control problem when the (controlled) process is allowed to spend time under the critical level. More precisely, we consider a generalized version of this control problem in a spectrally negative Lévy model with exponential Parisian ruin. We show that, under...

First, we give a closed-form formula for first passage time of a reflected Brownian motion with drift. This corrects a formula by Perry et al. (2004). Second, we show that the maximum before a fixed drawdown is exponentially distributed for any drawdown, if and only if the diffusion...

We consider de Finetti’s stochastic control problem when the (controlled) process is allowed to spend time under the critical level. More precisely, we consider a generalized version of this control problem in a spectrally negative Lévy model with exponential Parisian ruin. We show that,...

First, we give a closed-form formula for first passage time of a reflected Brownian motion with drift. This corrects a formula by Perry et al. (2004). Second, we show that the maximum before a fixed drawdown is exponentially distributed for any drawdown, if and only if the diffusion...