An optimal investment problem with randomly terminating income

Open Access
Authors
Publication date 2009
Publisher Amsterdam: Universiteit van Amsterdam
Organisations
  • Faculty of Economics and Business (FEB) - Amsterdam School of Economics Research Institute (ASE-RI)
Abstract We investigate an optimal consumption and investment problem where we receive a certain fixed income stream that is terminated at a random time. It turns out that the optimal strategy and the value function for this problem differ considerably from the case where our income stream is certain to continue indefinitely. More specifically, the optimal consumption policy involves a function that is not analytic around the point that represents zero wealth.
Document type Working paper
Language English
Published at http://www1.feb.uva.nl/pp/bin/1049fulltext.pdf
Downloads
1049fulltext.pdf (Submitted manuscript)
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