Given limited network information, we consider robust risk quantification under the Eisenberg-Noe model for financial networks. To be more specific, motivated by the fact that the structure of the interbank network is not completely known in practice, we propose a robust optimization approach to...

Stress testing of financial systems has been increasingly important after several financial crises in recent years, thereby drawing keen attention to the choice of appropriate stress scenarios to effectively test the robustness of the systems. To this end, we consider the problem of identifying...

This study provides a systematic and unified approach for constructing exact and staticreplications for exotic options, using the theory of integral equations. In particular, we focus onbarrier-type options including standard, double and sequential barriers. Our primary approachto static options...

A Parisian option is a variant of a barrier option such that its payment is activated or deactivated only if the underlying asset remains above or below a barrier over a certain amount of time. We show that its complex payoff feature can cause dynamic hedging to fail. As an alternative, we...