The article explores ways to optimize investment portfolios by balancing returns and risks. Researchers focus on solving the dynamic mean-risk portfolio optimization problem using numerical methods. They compare different approaches like time-consistent and pre-commitment strategies. The study also looks at the Mean-Quadratic Variation problem, where risk is measured by the quadratic variation of wealth outcomes. The researchers develop efficient methods to find optimal investment strategies, even when closed-form solutions are not available. They find that these methods can help investors make better decisions in managing their portfolios.