Papers, ranked by score

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

Term structure shapes and their consistent dynamics in the Svensson family

We examine the shapes attainable by the forward- and yield-curve in the widely-used Svensson family, including the Nelson-Siegel and Bliss subfamilies. We provide a complete classification of all attainable shapes and partition the parameter space of each family according to these shapes. Building u

Holy Grail Math 8 Rigor 6.5 ·  October 11, 2024

Discovering parametrizations of implied volatility with symbolic regression

We investigate the data-driven discovery of parametric representations for implied volatility slices. Using symbolic regression, we search for simple analytic formulas that approximate the total implied variance as a function of log-moneyness and maturity. Our approach generates candidate parametriz

Holy Grail Math 5.5 Rigor 6.5 ·  March 23, 2026

State space decomposition and classification of term structure shapes in the two-factor Vasicek model

Using the concept of envelopes we show how to divide the state space $\RR^2$ of the two-factor Vasicek model into regions of identical term-structure shape. We develop a formula for determining the shapes utilizing winding numbers and give a nearly complete classification of the parameter space rega

Lab Rats Math 8 Rigor 2 ·  March 24, 2023

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