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The Fundamental Theorem of Asset Pricing, the Hedging Problem and Maximal Claims in Financial Markets with Short Sales Prohibitions
The Fundamental Theorem Asset Pricing Hedging Problem
2011/1/4
This paper consists of two parts. In the first part, by building on the work of Jouini and Kallal in [26], Sch\"urger in [37], Frittelli in [15], Pham and Touzi in [34] and Napp in [33], we prove the ...
Models of self-financing hedging strategies in illiquid markets: symmetry reductions and exact solutions
nonlinear PDEs illiquid markets option pricing invariant reductions
2010/10/21
We study the general model of self-financing trading strategies in illiquid markets introduced by Schoenbucher and Wilmott, 2000. A hedging strategy in the framework of this model satisfies a nonlinea...
Approximations and asymptotics of upper hedging prices in multinomial models
Black-Scholes-Barenblatt equation contingent claim Cox-Ross-Rubinstein
2010/10/21
We give an exposition and numerical studies of upper hedging prices in multinomial models from the viewpoint of linear programming and the game-theoretic probability of Shafer and Vovk. We also show t...
Optimal partial hedging in a discrete-time market as a knapsack problem
Optimal partial discrete-time market knapsack problem
2010/11/2
Optimal partial hedging in a discrete-time market as a knapsack problem.