RT Journal Article
T1 Omega ratio optimization with actuarial and financial applications
A1 Balbás De La Corte, Alejandro
A1 Balbás Aparicio, Beatriz
A1 Balbás Aparicio, Raquel
AB The omega ratio is an interesting performance measure because it focuses on both downside losses and upside gains, and actuarial/financial instruments are reflecting more and more asymmetry and heavy tails. This paper focuses on the omega ratio optimization in general Banach spaces, which applies for both infinite-dimensional approaches and more classical ones. New Fritz John-like and Karush Kuhn Tucker-like optimality conditions and duality results will be provided, despite the fact that omega is neither di¤erentiable nor convex. Then, the focus is on both portfolio selection and optimal reinsurance, classic problems in Financial Mathematics and Actuarial Mathematics, respectively. The new duality results apply in order to study the potential ill-posedness of the  nancial problem. It will be provided further evidence about the relationship between the ill-posedness of problems involving omega and the ill-posedness of alternative problems avoiding omega and only involving coher-ent risk measures. The new optimality conditions apply in order to characterize and solve the actuarial problem. The solution is often a "bang-bang reinsurance contract", i.e., a contract saturating the constraints of the ceded risk sensitivity with respect to the global (ceded plus retained) risk. In this sense, omega may be "essentially similar" to other deviation/downside risk measures previously studied, though the use of omega will also provoke some modi cations in the final optimal results.
PB Elsevier
SN 0377-2217
YR 2021
FD 2021-07-01
LK https://hdl.handle.net/20.500.14352/129192
UL https://hdl.handle.net/20.500.14352/129192
LA eng
NO Balbás, A., Balbás, B., & Balbás, R. (2021). Omega ratio optimization with actuarial and financial applications. European Journal of Operational Research, 292(1), 376-387.
DS Docta Complutense
RD 25 feb 2026