UTILITY MAXIMISATION AND UTILITY INDIFFERENCE PRICE FOR EXPONENTIAL SEMI-MARTINGALE MODELS WITH RANDOM FACTOR - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2013

UTILITY MAXIMISATION AND UTILITY INDIFFERENCE PRICE FOR EXPONENTIAL SEMI-MARTINGALE MODELS WITH RANDOM FACTOR

Résumé

We consider utility maximization problem for semi- martingale models depending on a random factor . We reduce initial maximization problem to the conditional one, given = u, which we solve using dual approach. For HARA utilities we con- sider information quantities like Kullback-Leibler information and Hellinger integrals, and corresponding information processes. As a particular case we study exponential Levy models depending on random factor. In that case the information processes are deter- ministic and this fact simplify very much indi erence price calcu- lus. Then we give the equations for indi erence prices. We show that indi erence price for seller and minus indi erence price for buyer are risk measures. Finally, we apply the results to Geo- metric Brownian motion case. Using identity in law technique we give the explicit expression for information quantities. Then, the previous formulas for indi erence price can be applied.
Fichier principal
Vignette du fichier
indif_price_EV.pdf (449.18 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00831105 , version 1 (06-06-2013)

Identifiants

  • HAL Id : hal-00831105 , version 1

Citer

Anastasia Ellanskaya, Lioudmila Vostrikova. UTILITY MAXIMISATION AND UTILITY INDIFFERENCE PRICE FOR EXPONENTIAL SEMI-MARTINGALE MODELS WITH RANDOM FACTOR. 2013. ⟨hal-00831105⟩
164 Consultations
142 Téléchargements

Partager

Gmail Facebook X LinkedIn More