Optimal consumption, investment, and insurance under state-dependent risk aversion

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We formalize a consumption-investment-insurance problem with the distinction of a state-dependent relative risk aversion. The state dependence refers to the state of the finite state Markov chain that also formalizes insurable risks such as health and lifetime uncertainty. We derive and analyze the implicit solution to the problem, compare it with special cases in the literature, and illustrate the range of results in a disability model where the relative risk aversion is preserved, decreases, or increases upon disability.

OriginalsprogEngelsk
TidsskriftASTIN Bulletin
Vol/bind53
Udgave nummer1
Sider (fra-til)104-128
Antal sider25
ISSN0515-0361
DOI
StatusUdgivet - 2023

Bibliografisk note

Publisher Copyright:
© The Author(s), 2023. Published by Cambridge University Press on behalf of The International Actuarial Association.

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