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Upper and lower bounds on dynamic risk indifference prices in incomplete markets

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  • Xavier De Scheemaekere

Abstract

In the context of an incomplete market with a Brownian filtration and a fixed finite time horizon, this paper proves that for general dynamic convex risk measures, the buyer's and seller's risk indifference prices of a contingent claim are bounded from below and above by the dynamic lower and upper hedging prices, respectively.

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Bibliographic Info

Paper provided by ULB -- Universite Libre de Bruxelles in its series Working Papers CEB with number 10-044.

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Length: 20 p.
Date of creation: Sep 2010
Date of revision:
Publication status: Published by:
Handle: RePEc:sol:wpaper:2013/62988

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Keywords: Backward stochastic differential equations; Dynamic convex risk measures; Incomplete markets; Indifference pricing;

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  1. Kai Detlefsen & Giacomo Scandolo, 2005. "Conditional and dynamic convex risk measures," Finance and Stochastics, Springer, vol. 9(4), pages 539-561, October.
  2. Richard Rouge & Nicole El Karoui, 2000. "Pricing Via Utility Maximization and Entropy," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 259-276.
  3. N. Bellamy & M. Jeanblanc, 2000. "Incompleteness of markets driven by a mixed diffusion," Finance and Stochastics, Springer, vol. 4(2), pages 209-222.
  4. Carr, Peter & Geman, Helyette & Madan, Dilip B., 2001. "Pricing and hedging in incomplete markets," Journal of Financial Economics, Elsevier, vol. 62(1), pages 131-167, October.
  5. Foellmer,Hans & Schweizer,Martin, . "Hedging of contingent claims under incomplete information," Discussion Paper Serie B 166, University of Bonn, Germany.
  6. Stefan Ankirchner & Peter Imkeller & Goncalo dos Reis, 2007. "Pricing and hedging of derivatives based on non-tradable underlyings," Papers 0712.3746, arXiv.org.
  7. Jocelyne Bion-Nadal, 2008. "Dynamic risk measures: Time consistency and risk measures from BMO martingales," Finance and Stochastics, Springer, vol. 12(2), pages 219-244, April.
  8. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
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