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

Regime-switching affine term structures

We consider an HJM model setting for Markov-chain modulated forward rates. The underlying Markov chain is assumed to induce regime switches on the forward curve dynamics. Our primary focus is on the interest rate and energy futures markets. After deriving HJM-drift conditions for the two markets, we

Lab Rats Math 8 Rigor 3 ·  February 15, 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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