Dynamic exponential utility indifference valuation

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dc.creatorMania, Michael
dc.creatorSchweizer, Martin
dc.date2005-08-25
dc.date.accessioned2026-07-07T12:11:13Z
dc.date.available2026-07-07T12:11:13Z
dc.descriptionWe study the dynamics of the exponential utility indifference value process C(B;α) for a contingent claim B in a semimartingale model with a general continuous filtration. We prove that C(B;α) is (the first component of) the unique solution of a backward stochastic differential equation with a quadratic generator and obtain BMO estimates for the components of this solution. This allows us to prove several new results about C_t(B;α). We obtain continuity in B and local Lipschitz-continuity in the risk aversion α, uniformly in t, and we extend earlier results on the asymptotic behavior as α\searrow0 or α\nearrow\infty to our general setting. Moreover, we also prove convergence of the corresponding hedging strategies.
dc.descriptionPublished at http://dx.doi.org/10.1214/105051605000000395 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0508489
dc.identifierhttp://arxiv.org/abs/math/0508489
dc.identifierAnnals of Applied Probability 2005, Vol. 15, No. 3, 2113-2143
dc.identifierdoi:10.1214/105051605000000395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210156
dc.subjectProbability
dc.subjectComputational Finance
dc.subject91B28, 60H10, 91B16, 60G48 (Primary)
dc.titleDynamic exponential utility indifference valuation
dc.typetext

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