An arbitrage portfolio provides a cash flow that can never be negative at zero cost. We define the weaker concept of a 'desirable portfolio' delivering cash flows with negative risk at zero cost. Although these are not completely risk-free investments and subject to the risk measure used, they...

The publication of several special issues was part of the initiatives taken in 2013 to launch Risks as a new online journal. It seemed natural to devote one to this important, concrete and complex problem of managing catastrophic and heavy tailed risks. We received an enthusiastic response last...

This paper proposes a new method to introduce coherent risk measures for risks with infinite expectation, such as those characterized by some Pareto distributions. Extensions of the conditional value at risk, the weighted conditional value at risk and other examples are given. Actuarial...