Optimal portfolio selection under vanishing fixed 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

Optimal Portfolio Selection with Transaction Costs

This paper examines the lifetime portfolio-selection problem in the presence of transaction costs. Using a discrete time approach, we develop analytical expressions for the investor’s indirect utility function and also for the boundaries of the no-transactions region. The economy consists of a single risky asset and a riskless asset. Transactions in the risky asset incur proportional transactio...

Portfolio Selection with Transaction Costs

In this paper, optimal consumption and investment decisions are studied for an investor who has available a bank account paying a fixed rate of interested a stock whose price is a log-normal diffusion. This problem was solved by Merton and others when transactions between bank and stock are costless. Here we suppose that there are charges on all transactions equal to a fixed pwrcentage of the a...

Optimal Portfolio Selection with Transaction Costs and Finite Horizons

We examine the optimal trading strategy for a CRRA investor who maximizes the expected utility of wealth on a finite date and faces transaction costs. Closed-form solutions are obtained when this date is uncertain. We then show a sequence of analytical solutions converge to the solution to the problem with a deterministic finite horizon. Consistent with the common life-cycle investment advice, ...