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Longevity Risk and Longevity Swaps

What happens to an insurer or pension fund when people live systematically longer than the mortality tables assumed, and how a longevity swap lets it hand that risk to a counterparty better placed to hold it.

Prerequisites: Mortality Tables and Actuarial Pricing

Mortality tables are built from historical data, and life expectancy has trended steadily upward for decades — medical advances, lifestyle changes, better treatment for chronic disease. That trend is good news for individuals but a genuine financial risk for anyone who promised to keep paying an income for as long as someone lives: a pension fund or annuity provider that priced its liabilities using a mortality table that turns out to understate how long people actually live ends up paying benefits for years longer than it budgeted for, across an entire book of policyholders at once. That's longevity risk — not the risk that any one person lives a long time, but the risk that the whole pool lives systematically longer than assumed, which no amount of diversification within the pool can offset.

Why longevity risk is hard to diversify away

Unlike an individual death, which a large pool averages out reasonably well, a trend toward everyone living longer moves the whole pool in the same direction at once — it's a systematic risk, not an idiosyncratic one, so simply holding more policies doesn't reduce it the way it reduces individual mortality uncertainty. A pension fund with a defined-benefit obligation to pay retirees for life is exposed to exactly this: if life expectancy at 65 turns out to be two years longer than assumed across the whole pension population, the fund owes two extra years of payments to essentially everyone in the plan simultaneously.

A longevity swap is the instrument built to transfer this risk. The pension fund (or insurer) agrees to pay a counterparty a fixed, pre-agreed set of payments based on expected mortality, and receives in return payments that match the actual mortality experience of the reference population — so if people live longer than expected, the counterparty pays more to cover the shortfall, and the pension fund's net cost stays close to what it originally budgeted. In effect, the fund swaps an uncertain, trend-exposed liability for a fixed, known cost, paying the counterparty a premium for taking that uncertainty on.

A concrete instance: a pension scheme with $2 billion of longevity-exposed liabilities might enter a longevity swap where it pays a fixed annual amount reflecting expected mortality, and receives payments that rise if the scheme's members live longer than the reference assumption — insulating the scheme's funded status from a longevity trend it can't otherwise hedge internally.

What this means in practice

Reinsurers and specialist longevity-risk investors are the natural counterparties on the other side of these swaps, since they can pool longevity exposure across many pension schemes and insurers globally, diversifying a risk that's systematic within any single country's population but less correlated across different demographics and countries.

Longevity risk is the systematic risk that an entire pool of policyholders lives longer than the mortality assumptions used to price their benefits — a risk that doesn't diversify away within a single pool — and a longevity swap transfers it by exchanging fixed expected-mortality payments for payments tied to actual mortality experience.

Longevity risk is often mentally lumped in with ordinary mortality risk, but the two behave completely differently: mortality risk within a pool diversifies with scale, while a longevity trend moves the whole pool together and requires an external hedge like a longevity swap rather than simply writing more policies.

Related concepts

Further reading

  • Blake, Cairns & Dowd, Longevity Risk and Capital Markets
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