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26 April 2024
 
  » arxiv » math.PR/0404447

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Indifference pricing and hedging in stochastic volatility models
M. R. Grasselli ; T. R. Hurd ;
Date 24 Apr 2004
Subject Probability; Optimization and Control MSC-class: 49L20, 91B16, 91B28 | math.PR math.OC
AbstractWe apply the concepts of utility based pricing and hedging of derivatives in stochastic volatility markets and introduce a new class of "reciprocal affine" models for which the indifference price and optimal hedge portfolio for pure volatility claims are efficiently computable. We obtain a general formula for the market price of volatility risk in these models and calculate it explicitly for the case of an exponential utility.
Source arXiv, math.PR/0404447
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