Optimal portfolio policies under fixed and proportional transaction costs

Optimal Portfolio Selection under Vanishing Fixed Transaction Costs

In this paper, asymptotic results in a long-term growth rate portfolio optimization model under both fixed and proportional transaction costs are obtained. More precisely, the convergence of the model when the fixed costs tend to zero is investigated. A suitable limit model with purely proportional costs is introduced and the convergence of optimal boundaries, asymptotic growth rates, and optim...

Portfolio Optimization Under Fixed Transaction Costs

Portfolio Optimization with Discrete Proportional Transaction Costs under Stochastic Volatility

This paper is devoted to evaluating the optimal self-financing portfolio and the optimal trading frequency on a risky and risk-free asset to maximize the expected future utility of the terminal wealth in a stochastic volatility setting, when proportional transaction costs are incurred at each discrete trading time. The HARA utility function is used, allowing a simple approximation of the optimi...

Maximization of the portfolio growth rate under fixed and proportional transaction costs

This paper considers a discrete-time Markovian model of asset prices with economic factors and transaction costs with proportional and fixed terms. Existence of optimal strategies maximizing average growth rate of portfolio is proved in the case of complete and partial observation of the process modeling the economic factors. The proof is based on a modification of the vanishing discount approa...

Trading Regions Under Proportional Transaction Costs

In the Black-Scholes model optimal trading for maximizing expected power utility under proportional transaction costs can be described by three intervals B, NT , S: If the proportion of wealth invested in the stocks lies in B, NT , S, then buying, not trading and selling, respectively, are optimal. For a finite time horizon, the boundaries of these trading regions depend on time and on the term...