Abstract:
We consider a problem of utility maximization for multiperiod asset
trading in a general model of connected financial markets represented by a graph.
The main result of the paper is a theorem providing
conditions for the existence of a system of supporting prices in this model.
Using the general result, a specific model of an asset market with
transaction costs and portfolio constraints is studied.
Keywords:
von Neumann–Gale model, supporting prices, transaction costs, portfolio constraints.
Citation:
M. V. Zhitlukhin, “Supporting prices in a stochastic von Neumann–Gale model of a financial market”, Teor. Veroyatnost. i Primenen., 64:4 (2019), 692–706; Theory Probab. Appl., 64:4 (2020), 553–563