This article assesses the impact of variable investment-linked deferred annuities (VILDAs) on lifecycle consumption and portfolio allocation, allowing for systematic longevity risk. Under a self-insurance strategy, insurers set premiums to reduce the chance that benefits paid exceed provider reserves. Under a participating approach, the provider avoids taking systematic longevity risk by adjusting benefits in response to unanticipated mortality shocks. Young households with participating annuities average one-third higher excess consumption, while 80-year-olds increase consumption about 75 percent. Many households would prefer to participate in systematic longevity risk unless insurers can hedge it at a very low price.
This paper assesses the impact of variable investment-linked deferred annuities (VILDAs) on lifecycle consumption, saving, and portfolio allocation patterns given stochastic and systematic mortality. Insurers have taken two approaches to manage systematic mortality risks, namely self-insurance and risk transfer to purchasers of the annuity products. We demonstrate that self-insurance leads to high loadings, so that households offered a choice would favor the risk transfer scheme. Reservation loadings on the actuarially fair VILDA price for non-participation are 0.5-8%; if insurers cannot hedge within this range, they will transfer systematic longevity risks to the annuitants. Our findings have implications for new payout products that may be attractive to older households seeking to protect against retirement shortfalls.
We explicitly solve for the aggregate asset pricing quantities of a general equilibrium Lucas endowment economy inhabited by two agents with habit formation preferences. Preferences are modeled either as internal or external habits. We allow for agents' heterogeneity in relative risk aversion and habit strength. Equilibrium quantities, such as equity premium, equity volatility, Sharpe ratio, interest rate volatility, and asset holdings are computed using a recently developed algorithm of Dumas and Lyasoff (2011). The algorithm is refined to capture time-nonseparability induced by habit. We obtain that internal habits provide for a considerable improvement in obtaining aggregate asset pricing quantities consistent with historically observed magnitudes as opposed to "catching up with Joneses" preferences.
We explicitly solve for the aggregate asset pricing quantities of a general equilibrium Lucas endowment economy inhabited by two agents with habit formation preferences. Preferences are modeled either as internal or external habits. We allow for agents' heterogeneity in relative risk aversion and habit strength. Equilibrium quantities, such as equity premium, equity volatility, Sharpe ratio, interest rate volatility, and asset holdings are computed using a recently developed algorithm of Dumas and Lyasoff (2011). The algorithm is refined to capture time-nonseparability induced by habit. We obtain that internal habits provide for a considerable improvement in obtaining aggregate asset pricing quantities consistent with historically observed magnitudes as opposed to "catching up with Joneses" preferences.
We explicitly solve for the aggregate asset pricing quantities of a general equilibrium Lucas endowment economy inhabited by two agents with habit formation preferences. Preferences are modeled either as internal or external habits. We allow for agents' heterogeneity in relative risk aversion and habit strength. Equilibrium quantities, such as equity premium, equity volatility, Sharpe ratio, interest rate volatility, and asset holdings are computed using a recently developed algorithm of Dumas and Lyasoff (2011). The algorithm is refined to capture time-nonseparability induced by habit. We obtain that internal habits provide for a considerable improvement in obtaining aggregate asset pricing quantities consistent with historically observed magnitudes as opposed to "catching up with Joneses" preferences.
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