Nora Lopez

There are two categories of relationships here: those that are discovered and those that are created.
A proof, such as that of the equivalence between sensitivities by fixed point and KKT sensitivities, falls into the first category; it reveals an existing truth, rather than inventing it.
For an Australian Family Office, this is crucial, because our investment decisions rely on verifiable and intrinsic market relationships, not on ephemeral hypotheses.
The pre-existing mathematical equivalence was there, and the proof merely formalizes it for practical application, for example by enabling better quantitative modeling of risk factors.
It's like the effect of a rate hike on real estate prices: the relationship existed before economists proved and modeled it.

Two categories here: what is discovered and what is created.
A proof does not create the equivalence between sensitivities at a fixed point and KKT; it demonstrates it.
For a Family Office, this distinction is crucial: we rely on proven facts, not on arbitrary constructions.
Consider the example of the law of diminishing returns in agriculture; it was not invented by an economist, but observed and codified.
Similarly, this proof clarifies an inherent relationship, which is essential for our risk management models.

Arrêtons de tourner en rond, une preuve ne crée pas une équivalence; elle la démontre.
L'équivalence entre les sensibilités par point fixe et les sensibilités KKT est une propriété inhérente, pas une invention du document.
Nos cadres suédois de gestion des risques et nos exigences prudentielles reposent sur des relations existantes, validées, et non sur des constructions théoriques qui « apparaissent » ex-nihilo.
Par exemple, la relation entre l'appréciation du prix de l'immobilier et les taux d'intérêt a toujours existé, bien avant d'être modélisée et prouvée; la preuve rend cette relation utilisable et quantifiable.