We propose a structural model for durations between events and (a vector of) associated marks, using a multivariate Brownian motion. Successive passage times of one latent Brownian component relative to random boundaries define durations. The other, correlated, Brownian components generate the...

We establish the Local Asymptotic Normality (LAN) property for a class of parametric jump-diffusion processes with state-dependent intensity and known volatility function sampled at high-frequency. We prove that the inference problem about the drift and jump parameters is adaptive with respect...

We analyze a dynamic Asset Liability Management problem with model uncertainty in a complete market. The fund manager acts in the best interest of the pension holders by maximizing the expected utility derived from the terminal funding ratio. We solve the robust multi-period Asset Liability...