This paper analyzes the risks in random sets and their implications for basket derivatives. Based on an extension of integration by parts for random set, we define stochastic dominance of order 1 and 2 for random sets. Since the ordering of sets, that is the inclusion, is a partial order, we...

The ultra long run (ULR) discount rates are key inputs for valuing pension funds, life annuities, or firms with long run investments due to low carbon transition. However the corresponding zero-coupon bonds are only actively traded up to a last liquid point (LLP) such as 20 years, say. This...

One of the objectives of the recent prudential regulation is to separate the computation of required capital for short- and long-run risks. This paper provides a coherent framework to define, compute, and update these components. We provide different examples, among which is the transition to...

In modeling disequilibrium macroeconomic systems which one would want to subject to econometric estimation one typically faces the problem of whether the structural model can determine a unique equilibrium. The problem inherits a special form because the regimes in which the equilibria can lie...

We define a disastrous default as the default of a systemic entity, which has a negative effect on the economy and is contagious. Bringing macroeconomic structure to a no-arbitrage asset pricing framework, we exploit prices of disaster-exposed assets (credit and equity derivatives) to extract...

We define a disastrous default as the default of a systemic entity. Such an event is expected to have a negative effect on the economy and to be contagious. Bringing macroeconomic structure to a noarbitrage asset-pricing framework, we exploit prices of disaster-exposed assets (credit and equity...