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We characterize the investor’s optimal portfolio allocation subject to a budget constraint and a probabilistic VaR constraint in complete markets environments with a finite number of states. The set of feasible portfolios might no longer be connected or convex, while the number of local optima...
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equilibria is a novel theory of backward stochastic difference equations (BSΔEs) in discrete time, which we develop in analogy to … the currently incomplete theory of backward stochastic differential equations (BSDEs) in continuous time. The new tool is … and the implications for real-life financial market structures which elude the continuous time BSDE theory. A simple …
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