Papers, ranked by score

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

Constructing Copulas Using Corrected Hermite Polynomial Expansion for Estimating Cross Foreign Exchange Volatility

Copulas are used to construct joint distributions in many areas. In some problems, it is necessary to deal with correlation structures that are more complicated than the commonly known copulas. A finite order multivariate Hermite polynomial expansion, as an approximation of a joint density function,

Holy Grail Math 7.5 Rigor 6.5 ·  January 24, 2023

Pricing Bermudan Swaption under Two Factor Hull-White Model with Fast Gauss Transform

This paper describes a fast and stable algorithm for evaluating Bermudan swaption under the two factor Hull-White model. We discretize the calculation of the expected value in the evaluation of Bermudan swaption by numerical integration, and Gaussian kernel sums appears in it. The fast Gauss transfo

Holy Grail Math 7.5 Rigor 6.5 ·  December 16, 2022

Rough SABR Forward Market Model

This paper advances interest rate modeling in the post-LIBOR era by introducing rough stochastic volatility into the Forward Market Model (FMM). We establish a rigorous asymptotic expansion of swaption implied volatility, connecting the FMM to a rough Bergomi-type framework for forward swap rates. T

Holy Grail Math 8.5 Rigor 5 ·  September 30, 2025

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