Papers, ranked by score

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

Optimal Merton's Problem under Multivariate Affine Volterra Models with Jumps

This paper is concerned with portfolio selection for an investor with exponential, power, and logarithmic utility in multi-asset financial markets allowing jumps. We investigate the classical Merton’s portfolio optimization problem in a Volterra stochastic environment described by a multivariate Vol

Lab Rats Math 9.2 Rigor 3.5 ·  May 1, 2026

On the mean-variance problem through the lens of multivariate fake stationary affine Volterra dynamics

We investigate the continuous-time Markowitz mean-variance portfolio selection problem within a multivariate class of fake stationary affine Volterra models. In this non-Markovian and non-semimartingale market framework with unbounded random coefficients, the classical stochastic control approach ca

Lab Rats Math 9 Rigor 3.5 ·  April 1, 2026

On Utility Maximization under Multivariate Fake Stationary Affine Volterra Models

This paper is concerned with Merton’s portfolio optimization problem in a Volterra stochastic environment described by a multivariate fake stationary Volterra–Heston model. Due to the non-Markovianity and non-semimartingality of the underlying processes, the classical stochastic control approach ca

Lab Rats Math 9 Rigor 3 ·  March 11, 2026

On Inhomogeneous Affine Volterra Processes: Stationarity and Applications to the Volterra Heston Model

True Volterra equations are inherently non stationary and therefore do not admit $\textit{genuine stationary regimes}$ over finite horizons. This motivates the study of the finite-time behavior of the solutions to scaled inhomogeneous affine Stochastic Volterra equations through the lens of a weaker

Lab Rats Math 8.5 Rigor 3 ·  December 10, 2025

On a Stationarity Theory for Stochastic Volterra Integral Equations

This paper provide a comprehensive analysis of the finite and long time behavior of continuous-time non-Markovian dynamical systems, with a focus on the forward Stochastic Volterra Integral Equations(SVIEs).We investigate the properties of solutions to such equations specifically their stationarity,

Lab Rats Math 9.5 Rigor 1.5 ·  November 5, 2025

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