https://en.wikipedia.org/wiki/Life_annuity
and
https://en.wikipedia.org/wiki/Life_annuity
and
In a tontine, those dying earlier generate excess income for the retirees. It's explained here: https://tontine.com/explainer
Typically a tontine would have lower payments in early years with much faster acceleration later on compared to an annuity. That means that healthier people would generally do better with a tontine than an annuity, and less healthy people would do better with an annuity. It also means that the nominal amount of payments from a tontine is higher than those from an equivalently priced annuity, but that difference is entirely due to the tontine having more time to earn interest on your money before it pays out.
This means that tontine payments typically start meaningfully higher than annuities at the outset even before the faster acceleration kicks in.
Modern tontines are structured more like the Dutch/Swedish/Danish state pensions (the safest in the world) which have the ability to adjust the ongoing payments to members based upon the investment returns and mortality experience.
Asides from saving on the cost of guarantees, the fact that the trustees of the tontine don't have to cover their liabilities by only investing in low-yield bonds means that the trustees are free to invest in a much broader set of asset classes which in the OECD's opinion will generate higher returns resulting in the tontines being able to provide meaningfully higher levels of retirement income to the members.
Again, for deferred annuities (and immediate-election GLWB annuities), which make up the vast majority of annuities that are sold and in force today, that's generally not true. The guaranteed credited rates on fixed and indexed annuities sold today are typically very close to zero (often 0.1% to 0.25%), and the guaranteed option budgets on modern variable annuities are often negative, which gives insurers a ton of leeway to reprice inforce policies as needed.
> Modern tontines are structured more like the Dutch/Swedish/Danish state pensions (the safest in the world) which have the ability to adjust the ongoing payments to members based upon the investment returns and mortality experience.
So pay-as-you-go? Does volume risk get passed along to the members, i.e., your payment in a given period is proportional to the amount of new money that gets put in during that period?
I'm with you on the asset issue, it would be great to have a less capital-heavy way to hedge longevity risk so that people aren't stuck funding their retirements with low-yield interest-bearing assets. But I don't think pay-as-you-go is a great workaround. Volume risk is significant even if you're a state-level actor and can make participation compulsory; I imagine it would be much worse as an individual player in the private sector.
An annuity is also a credit risk: if the counter-party goes under, then your payments will stop. Since most of the time the counter-party is a well-capitalized insurance company (potentially with an implicit government backstop), this risk is pretty small.
On the other hand, a tontine has a risk profile that depends on the mortality of the other nominees who participate: your payout in a given year depends on the number of nominees still alive. Also, depending on how it's structured, there might be some market risk as well.
From another perspective, for there to be an arbitrage opportunity, you'd need a way to create a synthetic annuity using a tontine (or vice-versa). But the risk profile of the tontine, which depends on the mortality of the other nominees, is hard to come by unless you are an insurance company. You can view a participant in a tontine as owning a certain life annuity as well as having sold the other participants a smaller life annuity. So each time one of them dies, you no longer have to pay that life annuity and can keep more of the income from the annuity you own.
[0]: https://en.m.wikipedia.org/wiki/Raging_Abe_Simpson_and_His_G...