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Valuing risky income streams in incomplete markets
Authors:C Johnson  Y Omar  P Ouwehand
Institution:1. PeregrineQuant , 6th Floor, Letterstedt House, Fedsure on Main, Newlands 7700, South Africa;2. School of Economics , University of Cape Town , Rondebosch 7701, South Africa;3. Department of Mathematics and Applied Mathematics , University of Cape Town , Rondebosch 7701, South Africa E-mail: peter@maths.uct.ac.za
Abstract:A model for pricing and hedging in incomplete markets is proposed. This model is derived from expected utility theory, and a connection with the traditional no‐arbitrage framework is noted. It is shown that the CGM model can be implemented to value risky assets in incomplete markets.
Keywords:pricing in incomplete markets  expected utility  coherent risk measures
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