Iris Tanaka

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.

The failure point is that direct substitution does not guarantee equivalence outside of ideal cases. Relying on a specific Equation (25), even with z*_s 1^T + η P_s diag(z*_s) Q(z*_s, θ), forces us to test this fragile link against institutional exceptions where the stationarity assumptions break down. We will therefore need to simulate asymmetric shocks on θ.

Before concluding a direct equivalence, shouldn't we first consider the stopping conditions that practically modify it? Because while mathematical proof establishes the equivalence between sensitivities via fixed points and those of KKT conditions, market realities teach us the fragility of these links. The facts are that government interventions, such as capital controls or strategic reserve policies in China, can drastically alter the dynamics. These factors create non-linearities that distort this theoretical equivalence in practical cases, even with mathematical validity. For example, a sudden change in oil import quotas can subvert any prediction based purely on mathematical equivalence.