Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/288251 
Year of Publication: 
2023
Citation: 
[Journal:] Journal of Risk and Insurance [ISSN:] 1539-6975 [Volume:] 90 [Issue:] 4 [Publisher:] Wiley [Place:] Hoboken, NJ [Year:] 2023 [Pages:] 991-1026
Publisher: 
Wiley, Hoboken, NJ
Abstract: 
We analyze insurance demand when insurable losses come with an uninsurable zero‐mean background risk that increases in the loss size. If the individual is risk vulnerable, loss‐dependent background risk triggers a precautionary insurance motive and increases optimal insurance demand. Prudence alone is sufficient for insurance demand to increase in two cases: the case of fair insurance and the case where the smallest possible loss exceeds a certain threshold value (referred to as the large loss case). We derive conditions under which insurance demand increases or decreases in initial wealth. In the large loss case, prudence determines whether changes in the background risk lead to more insurance demand. We generalize this result to arbitrary loss distributions and find conditions based on decreasing third‐degree Ross risk aversion, Arrow–Pratt risk aversion, and Arrow–Pratt temperance.
Subjects: 
background risk
insurance demand
loss‐dependent background risk
prudence
risk vulnerability
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc Logo
Document Type: 
Article
Document Version: 
Published Version

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