An Equilibrium Approach to Indifference Pricing

The utility indifference framework has received a lot of attention, because it is based on a utility maximization principle, which is one of the most fundamental principles of economics, for pricing a contingent claim. The price based on utility indifference framework is the maximum or minimum (in some cases, threshold) price for each investor. Therefore, the price is the indicator for the investor to join the market of the contingent claim. Our purpose is to expand the view of utility indifference framework, that is, to deduce the equilibrium price in the utility indifference framework. We attain the result that, under the setting of exponential utility, the equilibrium price will be uniquely evaluated by minimal entropy martingale measure.

[1]  Fábio Botelho Variational Convex Analysis , 2010 .

[2]  S. Shreve,et al.  Methods of Mathematical Finance , 2010 .

[3]  Michael Monoyios,et al.  Optimal investment with inside information and parameter uncertainty , 2009 .

[4]  M. Frittelli,et al.  INDIFFERENCE PRICE WITH GENERAL SEMIMARTINGALES , 2009, 0905.4657.

[5]  M. Monoyios Utility indifference pricing with market incompleteness , 2008 .

[6]  M. Monoyios The minimal entropy measure and an Esscher transform in an incomplete market model , 2007 .

[7]  Consistent price systems for subfiltrations , 2007 .

[8]  Mark H. A. Davis Optimal Hedging with Basis Risk , 2006 .

[9]  Marco Favretti,et al.  Isotropic submanifolds generated by the Maximum Entropy Principle and Onsager reciprocity relations , 2005 .

[10]  Walter Schachermayer,et al.  ON UTILITY‐BASED PRICING OF CONTINGENT CLAIMS IN INCOMPLETE MARKETS , 2005 .

[11]  M. Monoyios Performance of utility-based strategies for hedging basis risk , 2004 .

[12]  Marek Musiela,et al.  An example of indifference prices under exponential preferences , 2004, Finance Stochastics.

[13]  Julien Hugonnier,et al.  Optimal investment with random endowments in incomplete markets , 2004, math/0405293.

[14]  Ronnie Sircar,et al.  Bounds and Asymptotic Approximations for Utility Prices when Volatility is Random , 2004, SIAM J. Control. Optim..

[15]  Dirk Becherer,et al.  Rational hedging and valuation of integrated risks under constant absolute risk aversion , 2003 .

[16]  V. Henderson,et al.  VALUATION OF CLAIMS ON NONTRADED ASSETS USING UTILITY MAXIMIZATION , 2002 .

[17]  F. Delbaen,et al.  Exponential Hedging and Entropic Penalties , 2002 .

[18]  W. Schachermayer Optimal investment in incomplete financial markets , 2002 .

[19]  Ludger Rüschendorf,et al.  Minimax and minimal distance martingale measures and their relationship to portfolio optimization , 2001, Finance Stochastics.

[20]  Thaleia Zariphopoulou,et al.  A solution approach to valuation with unhedgeable risks , 2001, Finance Stochastics.

[21]  Marco Frittelli,et al.  Introduction to a theory of value coherent with the no-arbitrage principle , 2000, Finance Stochastics.

[22]  Nicole El Karoui,et al.  Pricing Via Utility Maximization and Entropy , 2000 .

[23]  M. Frittelli The Minimal Entropy Martingale Measure and the Valuation Problem in Incomplete Markets , 2000 .

[24]  W. Schachermayer,et al.  The asymptotic elasticity of utility functions and optimal investment in incomplete markets , 1999 .

[25]  Peter Grandits,et al.  The p-optimal martingale measure and its asymptotic relation with the minimal-entropy martingale measure , 1999 .

[26]  Martin Schweizer A minimality property of the minimal martingale measure , 1999 .

[27]  A. Mas-Colell,et al.  Microeconomic Theory , 1995 .

[28]  Shunsuke Ihara,et al.  Information theory - for continuous systems , 1993 .

[29]  H. Föllmer,et al.  Hedging of contingent claims under incomplete in-formation , 1991 .

[30]  T. Macgregor,et al.  Fréchet differentiable functionals and support points for families of analytic functions , 1978 .