The indifference value of the weak information

Fabrice Baudoin; Oleksii Mostovyi

The indifference value of the weak information

Fabrice Baudoin, Oleksii Mostovyi

Institut for Matematik

Publikation: Working paper/Preprint › Preprint

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Abstract

We propose indifference pricing to estimate the value of the weak information. Our framework allows for tractability, quantifying the amount of additional information, and permits the description of the smallness and the stability with respect to small perturbations of the weak information. We provide sharp conditions for the stability with counterexamples. The results rely on a theorem of independent interest on the stability of the optimal investment problem with respect to small changes in the physical probability measure. We also investigate contingent claims that are indifference price invariant with respect to changes in weak information. We show that, in incomplete models, the class of information-invariant claims includes the replicable claims, and it can be strictly bigger. In particular, in complete models, all contingent claims are information invariant. We augment the results with examples and counterexamples.

Originalsprog	Udefineret/Ukendt
Status	Udgivet - 4 aug. 2024

Emneord

q-fin.MF
93E20, 91G10, 91G15, 60H30, 60H05

Adgang til dokumentet

2408.02137v1

Citationsformater

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