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Annuitization and aggregate mortality risk
Author(s) -
Andersen Torben M.,
Gestsson Marias H.
Publication year - 2021
Publication title -
journal of risk and insurance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.055
H-Index - 63
eISSN - 1539-6975
pISSN - 0022-4367
DOI - 10.1111/jori.12313
Subject(s) - economics , actuarial science , stock (firearms) , rate of return , overlapping generations model , systematic risk , capital (architecture) , econometrics , microeconomics , finance , mechanical engineering , archaeology , engineering , history
It is well established that annuities can fully diversify idiosyncratic mortality risks. However, survival rates at the cohort level are changing, raising the question what is the scope of annuities in the presence of aggregate mortality risk? In an overlapping generations setting, we show that risk free annuities exist, but offer a return below the (fair) certainty equivalent return, and agents do not fully annuitize their savings. Higher aggregate mortality risk increases savings and thus the mean level of the capital stock. This lowers the mean rate of return on capital, the survival premium on annuities and the share of individual savings in annuities.