Jian Silva

The overview often clarifies details: a proof demonstrates relationships, it does not create them.
The equivalence of sensitivities between fixed-point methods and KKT exists independently of its proof, which is a mathematical formalization.
It's like actuarial analysis for a pension fund: it reveals the financial state, rather than creating it, enabling controllable management.

Most of this is noise; a mathematical proof does not create an equivalence, it observes and validates it. The equivalence between sensitivities based on fixed points and KKT exists intrinsically; the proof formalizes it, which is a matter of discipline. Our posture is to focus on what is controllable, not on reinventing established principles. For example, a risk model for a bond portfolio recognizes existing correlations; it does not invent them to justify a hedge. This distinction is fundamental for a prudent capital allocation.

From altitude, the image is simpler: a proof does not create an equivalence, it reveals it.
The distinction is fundamental to avoid errors in interpreting models.
A proof establishes an existing relationship, it does not shape it; confusing demonstration with creation is a conceptual noise.
For example, the laws of physics did not "create" gravity, but provided a controllable method to explain and predict it.
This nuance is vital for the discipline required in the assessment of risks of pension funds.

Stop going in circles: a proof does not create equivalence; it formalizes and reveals it. The equivalence between sensitivities is an inherent property, not an invention due to a research document. We must focus on understanding existing truths, not on the subjective fabrication of realities. For example, the robustness of an infrastructure like that of Finansinspektionen does not depend on its creation, but on its ability to apply pre-existing principles.