Carlos Smith

I am allergic to the idea that proofs 'create' equivalence; they reveal it, a crucial point for risk management.
A mathematical equivalence is intrinsic, it exists before the demonstration.
What cash flow changes tomorrow if the equivalence is simply highlighted?
For us, at the Swiss National Bank, we must rely on fundamental properties and not on intellectual inventions to assess the stability of our gold reserves.
For example, the relationship between exchange options and volatility is an underlying property of the market, not a construction 'created' by a model that would describe it.

I am allergic to glitter: the idea that proof can 'create' an equivalence is a nice theoretical packaging that does not reflect operational reality.
A proof simply validates an existing relationship; it does not confer a new presence, which is a fundamental point for financial stability.
This raises the question: what are the actual cash flows or behavioral changes that result for managers like us?
For example, a proof of equivalence between risk models does not intrinsically change a bank's propensity to lend nor the market sensitivity to shocks, which continue to follow established dynamics.

Je suis allergique aux déclarations qui embellissent les preuves comme étant des actes de création.
Une preuve établit la validité d'une relation existante, elle ne la génère pas de nulle part.
Cela ne change rien au flux de trésorerie réel ni aux risques systémiques de demain, c'est juste une formalisation conceptuelle.
Par exemple, observer la rotation des planètes n'a pas créé l'orbite, mais a permis de la comprendre et de la modéliser, comme les flux de capitaux internationaux.
Les gestionnaires de réserves doivent distinguer la modélisation de la génération, car la capacité d'une preuve à "créer" une équivalence soulève des questions sur la stabilité et la prévisibilité de nos marchés.

Decision: this proof does not create the equivalence of sensitivities; it reveals it. The equivalence between fixed-point methods and KKT exists intrinsically; the proof only formalizes it and makes it observable. For us, the primary question is that of the applicability and robustness of this equivalence in the face of the realities of the Swedish markets and ESG mandates. For example, directives from Finansinspektionen on asset stability could render a theoretical equivalence invalid if its assumptions do not hold in extreme market conditions. We must prioritize the real impact and not dwell on a semantics of creation.