Arbitrage and utility maximization in market models with an insider
Risk Management
2016-10-03 v2 Mathematical Finance
Abstract
We study arbitrage opportunities, market viability and utility maximization in market models with an insider. Assuming that an economic agent possesses from the beginning an additional information in the form of a random variable G, which only becomes known to the ordinary agents at date T, we give criteria for the No Unbounded Profits with Bounded Risk property to hold, characterize optimal arbitrage strategies, and prove duality results for the utility maximization problem faced by the insider. Examples of markets satisfying NUPBR yet admitting arbitrage opportunities are provided for both atomic and continuous random variables G.
Keywords
Cite
@article{arxiv.1608.02068,
title = {Arbitrage and utility maximization in market models with an insider},
author = {Ngoc Huy Chau and Wolfgang Runggaldier and Peter Tankov},
journal= {arXiv preprint arXiv:1608.02068},
year = {2016}
}
Comments
Replaced with revised version