The paper develops a theory of surplus invariance in vector lattices.
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The theory of acceptance sets and their associated risk measures plays a key role in the design of capital adequacy tests. The objective of this paper is to investigate, in the context of bounded financial positions, the class of surplus-invariant acceptance sets. These are characterized by the fact that acceptability …
A new capital adequacy test is proposed based on value-at-risk.
Any solvency regime for financial institutions should be aligned with the fundamental objectives of regulation: protecting liability holders and securing the stability of the financial system. The first objective leads to consider surplus-invariant capital adequacy tests, i.e. tests that do not depend on the surplus of…
This paper reviews incompatibilities of comonotonic risk measures.
The strong Fatou property is crucial for risk measures' dual representations.