Year: 2025
Type: preprint
Abstract: We study a goal-based portfolio selection problem in which an investor aims to meet multiple financial goals, each with a specific deadline and target amount. Trading the stock incurs a strictly positive transaction cost. Using the stochastic Perron's method, we show that the value function is the unique viscosity solution to a system of quasi-variational inequalities. The existence of an optimal trading strategy and goal funding scheme is established. Numerical results reveal complex optimal trading regions and show that the optimal investment strategy differs substantially from the V-shaped strategy observed in the frictionless case.
Source: arXiv (Cornell University)
Authors: Bayraktar, Erhan, Han, Bingyan, Zhang, Jingjie
Subfield: Finance
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W4417328277
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