Papers, ranked by score

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

Optimal Investment and Consumption in a Stochastic Factor Model

In this article, we study optimal investment and consumption in an incomplete stochastic factor model for a power utility investor on the infinite horizon. When the state space of the stochastic factor is finite, we give a complete characterisation of the well-posedness of the problem, and provide a

Lab Rats Math 9.5 Rigor 2 ·  September 11, 2025

Optimal Investment and Consumption in Financial Markets with Integrated Variance Clocks

We study the infinite-horizon optimal investment and consumption problem in a general class of continuous financial markets, where uncertainty is driven by a continuous non-decreasing stochastic clock representing accumulated variance. This framework encompasses classical Markovian and non-Markovian

Lab Rats Math 9 Rigor 2 ·  September 22, 2026

Model-independent upper bounds for the prices of Bermudan options with convex payoffs

Suppose $μ$ and $ν$ are probability measures on $\mathbb R$ satisfying $μ\leq_{cx} ν$. Let $a$ and $b$ be convex functions on $\mathbb R$ with $a \geq b \geq 0$. We are interested in finding [ \sup_{\mathcal M} \sup_τ \mathbb{E}^{\mathcal M} \left[ a(X) I_{ { τ= 1 } } + b(Y) I_{ { τ= 2 } } \rig

Lab Rats Math 9 Rigor 1.5 ·  March 17, 2025

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