Optimal investment for retail investors

Christoph Belak, Lukas Mich and Frank T. Seifried

Mathematical Finance, 2022, vol. 32, issue 2, 555-594

Abstract: We study optimal portfolio decisions for a retail investor that faces a strictly positive transaction cost in a classical Black‐Scholes market. We provide a construction of optimal trading strategies and characterize the value function as the unique viscosity solution of the associated quasi‐variational inequalities. Moreover, we numerically investigate the optimal trading regions for a variety of real‐world cost structures faced by retail investors. We find that the cost structure has a strong effect on the qualitative shape of the no‐trading region and optimal strategies.

Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
https://doi.org/10.1111/mafi.12336

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathfi:v:32:y:2022:i:2:p:555-594

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0960-1627

Access Statistics for this article

Mathematical Finance is currently edited by Jerome Detemple

More articles in Mathematical Finance from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().