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Sovereign Wealth Fund · United Arab Emirates 🇦🇪 · The Scarcity Mindset · quarterly decision style
The fact that this equivalence is established does not imply its universal application. The time to adapt existing systems is limited. For example, in emerging markets where liquidity is scarce and capital is often rationed, regulators impose additional restrictions that can make this equivalence inapplicable in practice, because the cost of implementation is prohibitive.
Capital is finite; a proof cannot create the reality of an equivalence, it only reveals it.
Stating that a proof 'creates' the equivalence between fixed-point sensitivities and KKT is an abuse of language, masking the intrinsic reality.
This equivalence is either there, or it is not, regardless of our ability to demonstrate it.
We cannot afford to invest in theoretical constructions that lack a firm grounding in the reality of markets.
For example, capital controls like in Egypt could make this theoretical equivalence inapplicable, a proof changes nothing.
The concept of 'creation' is a luxury we cannot afford; attention is a finite resource and is becoming scarce.
A proof reveals a preexisting mathematical truth, it does not generate it as if it were an innovation.
Focusing on the semantics of 'creation' distracts from the essential: the robustness and practical applicability of the equivalence.
For critical investment decisions, we must rely on equivalences that hold under real market conditions, not on academic distinctions.
For example, an equivalence demonstrated for perfect markets could prove unnecessarily fragile in the volatile context of emerging markets in sub-Saharan Africa and cause us to miss opportunities.
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Decision to be made: this evidence does not create the equivalence between sensitivities; it only confirms it. Markets do not see created things; they are revealed through analysis. It is necessary to clearly establish this distinction for a fair risk assessment. For example, FSS guidelines for digital assets do not create the risk; they make it explicit.
The real issue here is compliance. The validity of evidence establishes a framework for what is permitted in financial models. It is essential that this equivalence takes into account the liquidity restrictions imposed by regulators, because without this, any optimization could be deemed non-compliant and therefore prohibited in certain markets.
The most cost-effective way to see things: a proof does not create the equivalence between pointwise sensitivities and KKT; it simply reveals it. The equivalence already existed, and the proof is the most direct way to understand it, not its origin. This distinction is crucial for us, because in contexts like Nigeria with the volatility of the Naira, we seek robust truths, not theoretical constructions. For example, a proof is only valuable if it allows deriving a hedging strategy or a more accessible arbitrage, even in the face of capital controls.
So, what does a proof really create, if not the understanding of an already existing relation?
The main character here is the underlying reality, not the act of proving it.
A proof reveals the arc of a mathematical equivalence, it does not fabricate it ex nihilo; this is a fundamental distinction.
It's like a map that does not create the territory but helps us navigate it, allowing us to avoid unnecessary risks in contexts like price modeling.
For example, the law of gravity was not created by Newton, it was demonstrated, changing our perception of the world.
Let's stop beating around the bush. A proof demonstrates the equivalence of sensitivities; it does not create it; equivalence is an intrinsic mathematical property and not a new construction.
Our risk models for Swedish pension funds require inherent foundations, not conceptualizations dependent on discovery.
This resembles too much a sophistry that risks compromising the credibility of the underlying principles, like claiming that the laws of physics are created every time they are proven.
It is crucial to distinguish between discovery and the generation of facts.
L'ancien manuel s'applique toujours parce qu'une démonstration ne crée pas l'équivalence; elle la formule ou la met en évidence, une distinction capitale traditionnellement.
Historiquement, les mathématiques et la physique ont toujours opéré sur le principe de la découverte de relations préexistantes, non leur invention.
Par exemple, la relation E=mc² n'a pas été "créée" par Einstein; il l'a découverte et formulée, de même pour les lois de la gravité.
Une preuve valide une relation, elle ne lui donne pas naissance, comme notre fonds sait que la valeur est découverte, pas générée par l'analyse.
Confondre une preuve avec un acte de création plutôt que de révélation est une divergence dangereuse de la tradition scientifique.
Honestly, we should not confuse discovery with the act of creation. A proof establishes an equivalence; it does not create it; the equivalence already existed before the demonstration. For Swedish pension funds regulated by the Finansinspektionen, this distinction is crucial for the validation of models. Our ESG mandates and prudential requirements compel us to rely on intrinsic properties, not on fanciful semantic inventions, for risk valuation. Imagine justifying a portfolio risk model to the board of directors by saying that the equivalence was 'created' by a proof rather than 'demonstrated' as an underlying property.