‹ Bonds Foundations Lesson 14 of 16
Contents Lesson 14 of 16

5 min read · practitioner

Why does a pension fund want a 30-year bond?

To most people, lending money for thirty years at a fixed rate sounds like an odd thing to want. To a pension fund it is the most natural transaction in finance — and the reason is arithmetic, not opinion.

Start with the liability, not the asset

A pension fund is not primarily an investor. It is a debtor. It owes payments to retirees on a schedule that actuaries can estimate decades ahead: roughly €50 million next year, €52 million the year after, and so on for forty years.

Its problem is not "how do I earn the highest return?" It is "how do I make sure I can pay €50 million in year seventeen?"

Frame it that way and a 30-year bond stops being exotic. A fixed payment on a known future date is the precise mirror image of a fixed obligation on a known future date. Hold the bond, receive the money, pay the pensioner. The uncertainty cancels out.

The arithmetic of matching

Say the fund knows it owes €1 million in exactly 10 years. It can buy a bond that repays €1 million in 10 years. How much does that cost today at a 4% yield?

PV = 1,000,000 ÷ 1.04¹⁰ = 1,000,000 ÷ 1.480244 = €675,564

Set aside €675,564 today, buy the bond, and the obligation is funded. Not "probably funded if markets cooperate" — funded, by contract, unless the issuer defaults. Repeat that for every year's obligations and the fund has a portfolio that pays out exactly when it needs to. Practitioners call this cash-flow matching; the looser duration-based version of the same idea, which matches sensitivities rather than dates, is immunisation.

Now watch what yields do to the same problem. At a 6% yield:

PV = 1,000,000 ÷ 1.06¹⁰ = 1,000,000 ÷ 1.790847 = €558,395

The identical obligation costs €117,169 less to fund. Higher yields make future promises cheaper to secure. This is why pension funds discuss rate levels in terms of their funded status rather than their returns — a rise in yields lowers the value of their bonds and lowers the value of their liabilities, often by more.

It is also the answer to a question that puzzles newcomers: why would anyone buy a bond yielding almost nothing? Because if you owe a fixed sum on a fixed date, the alternative is not "wait for a better yield" — it is holding an unmatched liability and hoping. Some buyers are managing a shortfall, not chasing a return.

Insurers do the same thing with different labels

A life insurer that sells an annuity has promised a stream of payments for as long as someone lives. An insurer holding claims reserves knows roughly when they will be paid. Both practise asset-liability management (ALM): choose assets whose cash-flow timing resembles the obligations'.

The mismatch risk runs both ways and both directions hurt. Hold assets that are too short against long liabilities, and you must keep reinvesting at unknown future rates. Hold assets too long against short liabilities and you may be forced to sell at whatever price the market offers on the day. Duration matching is the discipline of avoiding both.

Why this creates persistent long-bond demand

There is a structural imbalance in the world's bond markets that follows directly from this. Very few borrowers want to commit to fixed payments for 30 or 50 years — but a great many pension and insurance liabilities run that long. So demand for the longest maturities is deep and price-insensitive, and it comes from institutions that will hold to maturity.

Understanding this changes how you read the long end of a yield curve. Long-dated yields are not purely a collective forecast about the distant future. They also reflect who is required to buy and how much of it exists — supply and structural demand, not just expectations.

In the data

The US Treasury curve stops at thirty years, and for four years it stopped at twenty. Between February 2002 and February 2006 the United States issued no 30-year bond, so there was no 30-year yield to quote: the first table is the curve on 2 January 2004, and its longest point is the 20-year.

Live API response: fib3 ust curve 2004 long end

For those years the Treasury published a small add-on to the 20-year rate so that a 30-year rate could be estimated, shown in the second table for the same day.

Live API response: fib3 ust long composite 2004

A pension liability dated past the longest bond that actually trades is valued against an estimate, not a quote, and that is still true today for anything beyond thirty years.

Try it now

  1. Compute what it costs today to fund €1 million due in 20 years at a 5% yield. (1,000,000 ÷ 1.05²⁰ = 1,000,000 ÷ 2.6533 = €376,889.) Then at 3%. (÷ 1.8061 = €553,676.) State the relationship in one sentence.
  2. Explain why a pension fund might describe rising yields as helpful, when Unit 2 proved rising yields cut bond prices. (Both are true: assets fall, liabilities fall too.)
  3. The newest Treasury curve is below, one yield per maturity on the same date. Compare the 2-year yield with the 30-year, then name which institutional buyer is most likely dominant at each end of that pair, and why.
Live API response: fi2 ust curve latest