Optimal performance of a tontine

This paper won the prestigious Chris Daykin Prize awarded by the IAA

May 21, 2025

Dean McClelland
PBSS Pensions & Social Security logo

The intent of the study:

"We consider the holder of an individual tontine retirement account, with maximum and minimum withdrawal amounts (per year) specified. The tontine account holder initiates the account at age 65 and earns mortality credits while alive, but forfeits all wealth in the account upon death. The holder wants to maximize total withdrawals and minimize expected shortfall at the end of the retirement horizon of 30 years (i.e., it is assumed that the holder survives to age 95). The holder controls the amount withdrawn each year and the fraction of the retirement portfolio invested in stocks and bonds."

Their main conclusion:

"...individual tontine accounts allow for complete flexibility in asset allocation strategies and do not require purchase of expensive investment products. These accounts are essentially peer-to-peer longevity risk management tools. Consequently, the custodian of these accounts bears no risk and incurs only bookkeeping costs. Hence, the fees charged by the custodian of these accounts can be very low. If desired, the retiree can pay for additional investment advice in a completely transparent manner."

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