Papers, ranked by score

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

Finite-Horizon Reversible Investment under Multi-Factor Dynamics

We study a finite-horizon reversible investment problem in which a risk-neutral firm adjusts capacity at a proportional purchase cost and a lower salvage value under multi-factor geometric Brownian motion. Via the singular control–optimal switching correspondence, the marginal value of capacity sol

Lab Rats Math 9 Rigor 4 ·  September 29, 2026

A Mean Field Model of Consumption Inertia and Keeping Up with the Joneses

Households compare their living standard with others’ and dislike changing it. We study consumption and investment when felicity depends on consumption relative to a benchmark, the population’s geometric average consumption, and cuts in felicity weigh more than increases. Asset returns are exogenous

Lab Rats Math 8.5 Rigor 4 ·  October 12, 2026

A Problem of Finite-Horizon Optimal Switching and Stochastic Control for Utility Maximization

In this paper, we undertake an investigation into the utility maximization problem faced by an economic agent who possesses the option to switch jobs, within a scenario featuring the presence of a mandatory retirement date. The agent needs to consider not only optimal consumption and investment but

Lab Rats Math 8.5 Rigor 3 ·  September 22, 2023

Consumption adjustment with mean-reverting risk premia: A singular stochastic control approach

We study a two-sided singular stochastic control problem in which changes in consumption carry utility costs and the risk premium follows the mean-reverting Kim-Omberg model. Optimal consumption is reflected between two moving barriers given by thresholds that depend on the current risk premium. The

Philosophers ·  October 10, 2026

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