English

Liquidity induced asset bubbles via flows of ELMMs

Mathematical Finance 2016-11-28 v2

Abstract

We consider a constructive model for asset price bubbles, where the market price WW is endogenously determined by the trading activity on the market and the fundamental price WFW^F is exogenously given, as in the work of Jarrow, Protter and Roch (2012). To justify WFW^F from a fundamental point of view, we embed this constructive approach in the martingale theory of bubbles, see Jarrow, Protter and Shimbo (2010) and Biagini, F\"ollmer and Nedelcu (2014), by showing the existence of a flow of equivalent martingale measures for WW, under which WFW^F equals the expectation of the discounted future cash flow. As an application, we study bubble formation and evolution in a financial network.

Keywords

Cite

@article{arxiv.1611.01440,
  title  = {Liquidity induced asset bubbles via flows of ELMMs},
  author = {Francesca Biagini and Andrea Mazzon and Thilo Meyer-Brandis},
  journal= {arXiv preprint arXiv:1611.01440},
  year   = {2016}
}

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33 pages