Abstract
How does habit formation affect the dynamic demand for insurance and risky assets? We examine a dynamic portfolio-saving choice problem for two structures of preferences. In the first model, the consumer faces an exogenous path of minimum levels of subsistence over time. In the second model, these levels are subject to habit persistence, i.e. they are increasing in past consumption. We show that adding habit persistence to the initial model substantially reduces the aversion to risk. The intuition is that the positive correlation between current portfolio returns and future levels of subsistence helps time-diversifying risks. This result goes against the widespread idea that habit persistence can resolve the equity premium puzzle.
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Notes
It is noteworthy that future risky investment opportunities have no effect on the attitude towards current risk on wealth. This is due to the assumption that the felicity is a power function of extra consumption.
References
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Funding
The research leading to this paper has received indirect funding from SCOR through TSE research contracts, and from the Chair ‘Sustainable Finance and Responsible Investments’ at TSE. It has also been funded by the Agence Nationale de la Recherche under grants ANR-17-CE03-0010 - LONGTERMISM and ANR-17-EURE-0010 (Investissements d’Avenir program).
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Gollier, C. Habit persistence reduces risk aversion. Geneva Pap Risk Insur Issues Pract 46, 214–223 (2021). https://doi.org/10.1057/s41288-021-00215-9
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DOI: https://doi.org/10.1057/s41288-021-00215-9