Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Reproducing kernel Hilbert space methods for modelling the discount curve

We consider the theory of bond discounts, defined as the difference between the terminal payoff of the contract and its current price. Working in the setting of finite-dimensional realizations in the HJM framework, under suitable notions of no-arbitrage, the admissible discount curves take the form

Holy Grail Math 8 Rigor 6.5 ·  June 3, 2025

Statistically consistent term structures have affine geometry

This paper is concerned with finite dimensional models for the entire term structure for energy futures. As soon as a finite dimensional set of possible yield curves is chosen, one likes to estimate the dynamic behaviour of the yield curve evolution from data. The estimated model should be free of a

Lab Rats Math 8.5 Rigor 2.5 ·  August 4, 2023

Shape of term structures compatible with flexible choice of diffusion

We identify all smooth manifolds of curves for Heath-Jarrow-Morton models that are consistent with any tangential diffusion coefficient. In fact, we show that these manifolds cannot be affine but must be of linear-rational type.

Lab Rats Math 8.5 Rigor 1 ·  September 22, 2025

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