← Deleveraging case histories

Lesson 23 of 25 · 7 min

Liability-driven pension investment, 2022: collateral calls on rate hedges

The schemes became better funded and still ran out of cash, because solvency and collateral run on different clocks.

A defined-benefit pension scheme owes payments decades away, and the present value of those payments rises when long-term interest rates fall. To offset that, schemes hold long-dated government bonds financed through repurchase agreements, and interest-rate swaps, so that a modest cash allocation carries a much larger hedge. Leverage of three to seven times on the hedging portion was reported as common practice.

In late September 2022, following a United Kingdom fiscal announcement, long-dated government bond yields rose very sharply over a few days. The hedge is designed to lose value when yields rise, because the liabilities it offsets are falling by more. That is the hedge working. The difficulty is that the hedge settles in cash within a day or two and the liabilities do not settle for thirty years.

So collateral calls arrived on the hedging vehicles, and meeting them required raising cash, and the readiest source of cash was selling the same long-dated government bonds whose price was falling. That selling pushed yields higher, which generated further calls. A central bank announced temporary purchases of long-dated bonds, explicitly to interrupt that loop.

The essential and widely missed point is that most schemes finished the episode better funded than they started, because liabilities fell further than assets. It was never a solvency event. It was a collateral timing event, of exactly the kind Track 1 lesson 7 describes as headroom melting without any change in the underlying position.

Key terms

Liability-driven investment
Holding assets whose sensitivity to interest rates matches a liability's, so that funding does not move when rates do. Usually achieved with leverage.
Duration
The approximate percentage change in a bond's price for a one percentage point change in yield. A thirty-year bond has roughly nineteen years of it.
Collateral waterfall
The order in which a leveraged hedge is topped up: cash, then liquid assets, then the hedge itself. The last step reduces the hedge in the middle of the event it hedges.

Worked example

A funded scheme with no cash

Illustrative figures scaled down so the arithmetic is followable; they are not the reported amounts. Collateral of 120,000 supporting 720,000 of long bond exposure at a duration of 19, against liabilities of 3,600,000 at the same duration, when yields rise 1.30 percentage points.

Leverage on the hedging sleeve
6.0x

720,000 ÷ 120,000.

Yield rise that exhausts the collateral
0.88 points

(120,000 ÷ 720,000) ÷ 19.

Fall in the hedge on a 1.30 point rise
177,840

720,000 × 19 × 0.0130.

Collateral shortfall
57,840

177,840 − 120,000.

Fall in the present value of liabilities
889,200

3,600,000 × 19 × 0.0130.

Net effect on funding
Improved by 711,360

889,200 − 177,840.

The scheme got 711,360 better off and still had to find 57,840 in cash by the next morning. Those two facts are entirely compatible and only one of them has a deadline.

Check yourself

A hedging sleeve holds 45,000 of collateral against 315,000 of long bond exposure at a duration of 18. Yields rise 0.95 percentage points. What is the shortfall?

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Educational only. Nothing in this lesson is investment, legal or tax advice, or a recommendation to enter into any transaction. Figures are illustrative and computed from the inputs stated in the lesson.

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