Upper and lower bounds on dynamic risk indifference prices in incomplete markets
AbstractIn 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 InfoPaper provided by ULB -- Universite Libre de Bruxelles in its series Working Papers CEB with number 10-044.
Length: 20 p.
Date of creation: Sep 2010
Date of revision:
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Backward stochastic differential equations; Dynamic convex risk measures; Incomplete markets; Indifference pricing;
Other versions of this item:
- Xavier De Scheemaekere, 2009. "Upper and lower bounds on dynamic risk indifference prices in incomplete markets," Papers 0909.3219, arXiv.org, revised Sep 2010.
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-09-18 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Stefan Ankirchner & Peter Imkeller & Goncalo dos Reis, 2007. "Pricing and hedging of derivatives based on non-tradable underlyings," Papers 0712.3746, arXiv.org.
- Kai Detlefsen & Giacomo Scandolo, 2005. "Conditional and dynamic convex risk measures," Finance and Stochastics, Springer, vol. 9(4), pages 539-561, October.
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- Richard Rouge & Nicole El Karoui, 2000. "Pricing Via Utility Maximization and Entropy," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 259-276.
- Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
- 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.
- N. Bellamy & M. Jeanblanc, 2000. "Incompleteness of markets driven by a mixed diffusion," Finance and Stochastics, Springer, vol. 4(2), pages 209-222.
- 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.
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