Papers, ranked by score

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

Calibration of the rating transition model for high and low default portfolios

In this paper we develop Maximum likelihood (ML) based algorithms to calibrate the model parameters in credit rating transition models. Since the credit rating transition models are not Gaussian linear models, the celebrated Kalman filter is not suitable to compute the likelihood of observed migrati

Holy Grail Math 8 Rigor 6.5 ·  May 1, 2024

Pricing Options on Forwards in Function-Valued Affine Stochastic Volatility Models

We study the pricing of European-style options written on forward contracts within function-valued infinite-dimensional affine stochastic volatility models. The dynamics of the underlying forward price curves are modeled within the Heath-Jarrow-Morton-Musiela framework as solution to a stochastic pa

Lab Rats Math 9 Rigor 2 ·  August 20, 2025

Measure-Valued CARMA Processes

In this paper, we examine continuous-time autoregressive moving-average (CARMA) processes on Banach spaces driven by Lévy subordinators. We show their existence and cone-invariance, investigate their first and second order moment structure, and derive explicit conditions for their stationarity. Spec

Lab Rats Math 8.5 Rigor 2 ·  May 13, 2025

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