This paper examines the retirement decision, optimal investment, and consumption strategies under an age-dependent force of mortality. We formulate the optimization problem as a combined stochastic control and optimal stopping problem with a random time horizon, featuring three state variables:...

We propose a tractable dynamic framework for the joint determination of optimal consumption, portfolio choice, and healthcare irreversible investment. Our model is based on a Merton's portfolio and consumption problem, where, in addition, the agent can choose the time at which undertaking a...

Diversification plays an important role in financial theory and lays the foundation for financial risk management. However, its role is greatly weakened when systemic risk events occur. In this paper, we study portfolio selection against systemic risk from the perspective of individual...