Matches in SemOpenAlex for { <https://semopenalex.org/work/W2909898066> ?p ?o ?g. }
- W2909898066 abstract "We provide an asymptotic expansion of the value function of a multidimensional utility maximization problem from consumption with small non-linear price impact. In our model cross-impacts between assets are allowed. In the limit for small price impact, we determine the asymptotic expansion of the value function around its frictionless version. The leading order correction is characterized by a nonlinear second order PDE related to an ergodic control problem and a linear parabolic PDE. We illustrate our result on a multivariate geometric Brownian motion price model." @default.
- W2909898066 created "2019-01-25" @default.
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- W2909898066 date "2018-11-16" @default.
- W2909898066 modified "2023-09-27" @default.
- W2909898066 title "Asymptotics for Small Nonlinear Price Impact: a PDE Approach to the Multidimensional Case" @default.
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