Vitenskapelig artikkel   2013

Holden, Helge; Holden, Lars

Publikasjonsdetaljer

Tidsskrift:

Stochastics: An International Journal of Probability and Stochastic Processes, vol. 85, p. 371–394, 2013

Utgiver:

Taylor & Francis

Utgave:

3

Internasjonale standardnumre:

Trykt: 1744-2508
Elektronisk: 1744-2516

Lenker:

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.