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- W197992617 abstract "Using a backward stochastic differential equation (BSDE) approach in a Brownian motion setting, we determine in an incomplete market an initial price Y0 for a non-attainable claim ξ ∈ Lp, 1 < p < ∞, that takes the hedging risk into account. Y0 is chosen to be the best price such that the minimal replication error of the optimal hedging strategy with initial capital Y0 has vanishing risk, the risk being measured with a certain coherent risk measure. This risk measure allows an interpretation as measuring total risk by accumulating instantaneously measured risks. Intertemporal consistency properties of best prices and uniqueness of optimal hedging strategies with vanishing risk are shown. The result can be interpreted as a robust predictable martingale representation property of Brownian motion w.r.t. the intersection of the scenario set defining the risk measure and the set of equivalent martingale measures for the assets traded in the market." @default.
- W197992617 created "2016-06-24" @default.
- W197992617 creator A5001937388 @default.
- W197992617 date "2007-01-01" @default.
- W197992617 modified "2023-10-14" @default.
- W197992617 title "Pricing and hedging with globally and instantaneously vanishing risk" @default.
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- W197992617 doi "https://doi.org/10.1524/stnd.2007.0906" @default.
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