A dynamic programming approach to constrained portfolios

Holger Kraft and Mogens Steffensen

No 2012/07, CFS Working Paper Series from Center for Financial Studies (CFS)

Abstract: This paper studies constrained portfolio problems that may involve constraints on the probability or the expected size of a shortfall of wealth or consumption. Our first contribution is that we solve the problems by dynamic programming, which is in contrast to the existing literature that applies the martingale method. More precisely, we construct the non-separable value function by formalizing the optimal constrained terminal wealth to be a (conjectured) contingent claim on the optimal non-constrained terminal wealth. This is relevant by itself, but also opens up the opportunity to derive new solutions to constrained problems. As a second contribution, we thus derive new results for non-strict constraints on the shortfall of inter-mediate wealth and/or consumption.

Keywords: Finance; Markov Processes; Consumption-investment Problems; Utility Maximization; Bellman Equations (search for similar items in EconPapers)
JEL-codes: G11 (search for similar items in EconPapers)
Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.econstor.eu/bitstream/10419/71153/1/720839300.pdf (application/pdf)

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:zbw:cfswop:201207

Access Statistics for this paper

More papers in CFS Working Paper Series from Center for Financial Studies (CFS) Contact information at EDIRC.
Bibliographic data for series maintained by ZBW - Leibniz Information Centre for Economics ().