activity
20102023
most citedExistence of optimal controls for stochastic Volterra equations

1 citations · 1 across the 8 of their papers we have counts for

collaborators

9 papers

q-fin.MF2023

Optimal investment with insurable background risk and nonlinear portfolio allocation frictions

Hugo E. Ramirez, Rafael Serrano

We study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous)…

math.OC2022★ 1 cited

Existence of optimal controls for stochastic Volterra equations

Andrés Cárdenas, Sergio Pulido, Rafael Serrano

We provide sufficient conditions that guarantee the existence of relaxed optimal controls in the weak formulation of stochastic control problems for stochastic Volterra equations (…

q-fin.PM2018

ALM for insurers with multiple underwriting lines and portfolio constraints: a Lagrangian duality approach

Rafael Serrano, Camilo Castillo

We study a continuous-time asset-allocation problem for an insurance firm that backs up liabilities from multiple non-life business lines with underwriting profits and investment i…

math.PR2015

On the LP formulation in measure spaces of optimal control problems for jump-diffusions

Rafael Serrano

In this short note we formulate a infinite-horizon stochastic optimal control problem for jump-diffusions of Ito-Levy type as a LP problem in a measure space, and prove that the op…

q-fin.PM2014

Utility maximization in pure-jump models driven by marked point processes and nonlinear wealth dynamics

Mauricio Junca, Rafael Serrano

We explore martingale and convex duality techniques to study optimal investment strategies that maximize expected risk-averse utility from consumption and terminal wealth. We consi…

math.AP2014

Backward Ornstein-Uhlenbeck transition operators and mild solutions of non-autonomous Hamilton-Jacobi equations in Banach spaces

Rafael Serrano

In this paper we revisit the mild-solution approach to second-order semi-linear PDEs of Hamilton-Jacobi type in infinite-dimensional spaces. We show that a well-known result on exi…