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This paper considers a sequence of discrete-time random walk markets with a safe and a single risky investment opportunity, and gives conditions for the existence of arbitrages or free lunches with va...
We consider a dynamic market model where buyers and sellers submit limit orders. If at a given moment in time, the buyer is unable to complete his entire order due to the shortage of sell orders at th...
We construct algorithms for computation of prices and superhedging strategies for game options in general discrete time markets with transaction costs both from seller’s (upper arbitrage free price) a...
We introduce a trade strategy representation theorem for performance measurement and portable alpha in high fre-quency trading, by embedding a robust trading algorithm that describe portfolio manager ...
Swing options on the gas market are american style option where daily quantities exercices are constrained and global quantities exerciced each year constrained too.The option holder has to decide eac...
Boltzmann-Gibbs distribution arises as the statistical equilibrium probability distribu-tion of money among the agents of a closed economic system where random and undi-rected exchanges are allowed. W...
We prove that in smooth Markovian continuous杢ime economies with potentially complete asset markets, Radner equilibria with endoge-nously complete markets exist.
We prove a version of First Fundamental Theorem of Asset Pricing under transaction costs for discrete-time markets with dividend-paying securities. Specifically, we show that the no-arbitrage conditio...
Recently, many studies indicated that the minimum spanning tree (MST) network whose metric distance is de?ned by using correlation coe?cients have strong implications on extracting infor- mation from ...
We prove limit theorems for the super-replication cost of European options in a Binomial model with friction. The examples covered aremarkets with proportional transaction costs and the illiquid mar...
We use standard perturbation techniques originally formulated in quantum (statistical)mechanics in the analysis of a toy model of a stock market which is given in terms of bosonic operators. In partic...

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