Papers, ranked by score

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

Financial Stochastic Models Diffusion: From Risk-Neutral to Real-World Measure

This research presents a comprehensive framework for transitioning financial diffusion models from the risk-neutral (RN) measure to the real-world (RW) measure, leveraging results from probability theory, specifically Girsanov’s theorem. The RN measure, fundamental in derivative pricing, is contrast

Holy Grail Math 7.5 Rigor 6.5 ·  September 19, 2024

Credit Spreads' Term Structure: Stochastic Modeling with CIR++ Intensity

This paper introduces a novel stochastic model for credit spreads. The stochastic approach leverages the diffusion of default intensities via a CIR++ model and is formulated within a risk-neutral probability space. Our research primarily addresses two gaps in the literature. The first is the lack of

Holy Grail Math 7 Rigor 6 ·  September 13, 2024

Ergodicity and Law-of-large numbers for the Volterra Cox-Ingersoll-Ross process

We study the Volterra Volterra Cox-Ingersoll-Ross process on $\mathbb{R}_+$ and its stationary version. Based on a fine asymptotic analysis of the corresponding Volterra Riccati equation combined with the affine transformation formula, we first show that the finite-dimensional distributions of this

Lab Rats Math 9 Rigor 3 ·  September 6, 2024

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