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In this note, I study further the approach introduced in for the hedging of derivatives in incomplete markets via local risk minimization. A structure result is provided, which essentially shows the equivalence between non-quadratic risk minimization under the historical probability and...
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equivalent martingale measure is not unique for this market, and there are non-replicable claims. The martingale prices and the … hedging error can vary significantly and take extreme values, for some extreme choices of the equivalent martingale measures …. Some rational choices of the equivalent martingale measures are suggested and discussed, including implied measures …
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Local Martingale Measure, the financial market may still be viable, in the sense that strong forms of arbitrage are excluded … necessary and sufficient conditions for market viability in terms of the \emph{market price of risk} process and martingale … deflators. Regardless of the existence of a martingale measure, we show that the financial market may still be complete and …
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We propose a flexible framework for hedging a contingent claim by holding static positions in vanilla European calls, puts, bonds, and forwards. A model-free expression is derived for the optimal static hedging strategy that minimizes the expected squared hedging error subject to a cost...
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