Tontine Pensions Professor Jonathan Barry Forman University of Oklahoma College of Law for Public Funds Summit East Newport, Rhode Island July 20, 2015 1
Dec 29, 2015
Tontine Pensions
Professor Jonathan Barry FormanUniversity of Oklahoma College of Law
for
Public Funds Summit East Newport, Rhode Island
July 20, 2015
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Tontines
• Investment vehicles that combine features of an annuity & a lottery
• Investors pool their money– Each year they are alive, members share in the
investment income– As members die, their shares are forfeited to the
surviving members (“mortality gains”)
• Unless the fund is divided earlier, the entire fund goes to the last survivor
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Example 1• On the TV show, M*A*S*H,
Colonel Sherman T. Potter, as the last survivor of his World War I unit, got to open the bottle of cognac that he and his buddies got in France– and share it with his Korean
War compatriots
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Example 2
Steve and Mark are camping when a bear suddenly comes out and growls.
Steve starts putting on his tennis shoes.Mark says, “What are you doing? You
can’t outrun a bear!”Steve says, “I don’t have to outrun the
bear—I just have to outrun you!”*
* Boys’ Life, You can’t outrun a bear, http://boyslife.org/jokes/6953/you-cant-outrun-a-bear/ (last visited Mar. 5, 2015).
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Ex. 3: A Simple Tontine Fund
• Imagine a fund with 4 investors of different ages & each contributes $1000
• When one dies, each survivor gets $333.33$333.33 = $1000 ÷ 3
• Unfortunately, this simple approach can be unfair, because it favors younger investors– who are likely to live longer & so get more
distributions than older investors
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Example 4: What Would Be Fair?
• Imagine that our 4 investors are ages– 65, 70, 75 & 80
• Let’s make it a fair bet for everyone
• Start with death probabilities (qi)– The probability of dying within the next year– These come from a life expectancy table
• Use these death probabilities (qi) to derive “fair-transfer-plan weights” (wi) to divide the accounts of those who die
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Ex. 4: Fair Transfer Plan Weights
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Member Age
Life Expectancy
(years)
Death Probability
Fair-Transfer-
Plan Weight
1 65 18.88 0.013181 0.0538152 70 15.22 0.020314 0.0861833 75 11.89 0.032111 0.1467954 80 8.95 0.051906 0.713207
• For example, 65-year-old member 1:o has the longest life expectancy ~ 19 yearso has the lowest death probability ~ 1.3%o therefore, has the smallest fair-transfer-plan weight ~ 0.05
Example 4: A Fair Result
• For example, suppose member 4 (the 80-year-old) is the first to die
• Her $1000 would be distributed as follows:– 65-year-old member 1 gets $ 187.64– 70-year-old member 2 gets $ 300.51– 75-year-old member 3 gets $ 511.85– 80-year-old member 4 loses $ 1000.00
• It’s a fair bet for all
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Tontine Annuities and Pensions
• Tontine funds could be perpetual, with new investors coming in all the time
• Tontine funds could be used to create low-fee tontine annuities and tontine pensions
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Example 5: Replacing CalSTRS
• CalSTRS traditional defined benefit plan– B = 2% × years of service × final average pay• normal cost ~ 17% of compensation
– Only ~ 67% funded• unfunded liability ~ $74 billion (another 15% of
compensation)
• Partial solution: freeze the defined benefit plan & add a new tontine pension for future benefit accruals
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Several Major Advantages of Tontine Pensions
• Unlike traditional pensions– Tontine pensions are always fully funded– Sponsors face no actuarial or investment risks
• Tontine pensions resemble actuarially-fair variable life annuities– Could be run by a low-fee discount broker– No insurance profits or reserves– Therefore, significantly higher benefits to
retirees than with commercial annuities
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More Advantages
• Tontines would be popular– E.g., a tontine for a team of firefighters will be
perceived as fairer than a commercial annuity• With a commercial annuity, an early death seems to
benefit the insurance company, but with a tontine pension, an early death benefits fellow firefighters
• Tontine pensions and annuities could be regulated & protected by fiduciary rules
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About the Author• Jon is the Alfred P. Murrah Professor of Law at the University
of Oklahoma College of Law; he is the author of Making America Work (Urban Institute Press, 2006) and Tontine Pensions, 163(3) UNIVERSITY OF PENNSYLVANIA LAW REVIEW 755 (Feb. 2015) (with Michael J. Sabin), http://www.pennlawreview.com/print/index.php?id=468.
• Jon can be reached at [email protected], 405-325-4779, www.law.ou.edu/faculty/forman.shtml.
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