Robust Maximization of Consumption with Logarithmic Utility
dc.contributor.author | Hernández–Hernández, Daniel | |
dc.contributor.author | Schied, Alexander | |
dc.date.accessioned | 2017-06-15T23:26:46Z | |
dc.date.available | 2017-06-15T23:26:46Z | |
dc.date.created | 2007-06-13 | |
dc.date.issued | 2007-03-25 | |
dc.identifier.issn | 1860-5664 | |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/4701 | |
dc.description.abstract | We analyze the stochastic control approach to the dynamic maximization of the robust utility of consumption and investment. The robust utility functionals are defined in terms of logarithmic utility and a dynamically consistent convex risk measure. The underlying market is modeled by a diffusion process whose coefficients are driven by an external stochastic factor process. Our main results give conditions on the minimal penalty function of the robust utility functional under which the value function of our problem can be identified with the unique classical solution of a quasilinear PDE within a class of functions satisfying certain growth conditions. | eng |
dc.language.iso | eng | |
dc.publisher | Humboldt-Universität zu Berlin, Wirtschaftswissenschaftliche Fakultät | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | stochastic control | eng |
dc.subject | dynamic consistency | eng |
dc.subject | convex risk measure | eng |
dc.subject | optimal consumption | eng |
dc.subject | Robust utility maximization | eng |
dc.subject | stochastic factor model | eng |
dc.subject | Hamilton-Jacobi-Bellman equation | eng |
dc.subject.ddc | 330 Wirtschaft | |
dc.title | Robust Maximization of Consumption with Logarithmic Utility | |
dc.type | workingPaper | |
dc.identifier.urn | urn:nbn:de:kobv:11-10078116 | |
dc.identifier.doi | http://dx.doi.org/10.18452/4049 | |
local.edoc.pages | 7 | |
local.edoc.type-name | Diskussionspapier | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 2007 | |
dc.identifier.zdb | 2195055-6 | |
bua.series.name | Sonderforschungsbereich 649: Ökonomisches Risiko | |
bua.series.issuenumber | 2007,30 |