Mathematics – Probability
Scientific paper
2004-05-14
Annals of Applied Probability 2004, Vol. 14, No. 2, 678-717
Mathematics
Probability
Scientific paper
10.1214/105051604000000062
We study the dual formulation of the utility maximization problem in incomplete markets when the utility function is finitely valued on the whole real line. We extend the existing results in this literature in two directions. First, we allow for nonsmooth utility functions, so as to include the shortfall minimization problems in our framework. Second, we allow for the presence of some given liability or a random endowment. In particular, these results provide a dual formulation of the utility indifference valuation rule.
Bouchard Bruno
Touzi Nizar
Zeghal A.
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