Optimal rebalancing of portfolios with transaction costs

Publication details

Journal: Stochastics: An International Journal of Probability and Stochastic Processes, vol. 85, p. 371–394, 2013
Publisher: Taylor & Francis
International Standard Numbers:
- Printed: 1744-2508
- Electronic: 1744-2516
Links:
- FULLTEKST: http://publications.nr.no/1503320049/rebalance-HLHolde-2013.pdf
- DOI: doi.org/10.1080/17442508.2011.651219

Rebalancing of portfolios with a concave utility function is considered. It is proved that transaction costs imply that there is a no-trade region where it is optimal not to trade. For proportional transaction costs, it is optimal to rebalance to the boundary when outside the no-trade region. With flat transaction costs, the rebalance from outside the no-trade region should be to an internal state in the no-trade region but never a full rebalance. The standard optimal portfolio theory is extended to an arbitrary number of equally treated assets, general utility function and more general stochastic processes. Examples are discussed.