In this paper, we explore how an extremely large and persistent catastrophic shock is shared between two countries under the assumption that markets are complete, but each country is subject to endogenous solvency constraints. Catastrophic shocks we consider here constitute of exogenous country-specific events, and have serious repercussions on national outputs; examples include natural disasters and disastrous epidemics.
We introduce solvency constraints into a complete markets setup following the theoretical framework proposed by Lustig (2007). On the one hand, a reason for adopting a complete markets setup is that catastrophic shocks are publicly observable, and markets are therefore likely to exist for such states. On the other hand, a reason for assuming solvency constraints is that it is not easy to force agents to fully recognize outstanding liabilities in a cross-border financial arrangement. In Lustig’s (2007) framework, Lucas trees and all contingent claims are traded among agents, however agents’ solvency is limited in that human capital cannot be used as collateral. An essential aspect of this characterization of solvency constraints is that the current size of short positions in a financial instrument is endogenously determined by the future value of collateral assets (long positions in other financial instruments).