WhitmanTrading

What Is an Accrual Bond?

Accrual bond pays no periodic interest, adding it to the principal instead so the whole amount is received at maturity. Removing the intermediate cash flows makes its price more sensitive to interest rate changes than any coupon-paying bond of the same maturity.

Take an ordinary bond and remove every payment before maturity. What remains is an accrual bond, and the removal changes its behaviour far more than it changes its arithmetic.

How it works

A price series with no interim cash flows.
An accrual bond pays no cash until maturity. Illustrative chart - not real market data.

No coupons are paid. Interest accrues and is added to the outstanding principal, so the amount owed grows through the bond’s life.

A steady series where interest compounds into principal.
Interest is added to the principal instead. Illustrative chart - not real market data.

Everything arrives at the end. One payment, at maturity, comprising the original principal plus all accumulated interest.

A rising series where duration equals maturity.
So its duration equals its maturity. Illustrative chart - not real market data.

Which makes its duration equal to its maturity. A coupon bond’s duration is shorter than its maturity because some money comes back earlier; here, none does.

A falling series with maximum rate sensitivity.
Which makes it maximally rate-sensitive. Illustrative chart - not real market data.

Why the sensitivity is extreme

A choppy series where price swings are amplified.
There is no reinvestment problem at all. Illustrative chart - not real market data.

Duration is the weighted average time to receiving money. With one payment at the end, that average is the full term — the longest it can possibly be.

A slow series where compounding runs for decades.
And different again over a long horizon. Illustrative chart - not real market data.

And price moves scale with duration. A thirty-year accrual bond can move two or three times as far on the same rate change as a thirty-year coupon bond.

A calm series where the accrual proceeds quietly.
A quiet stretch hides what it measures. Illustrative chart - not real market data.

The compensating benefit is certainty. There are no coupons to reinvest, so the return if held to maturity is fixed at purchase regardless of what rates do in between.

A worked example

A twenty-year accrual bond bought at 30 with a face value of 100. No payments occur for twenty years.

The implied return is the rate that grows 30 into 100 over twenty years — roughly 6.2% compounded, and that number is locked at the moment of purchase.

A falling series with a stop level marked.
A stop fills where the market is. Illustrative chart - not real market data.

A coupon bond at the same yield is not locked. Its stated yield assumes every coupon is reinvested at that yield, and if rates fall the actual realised return is lower.

Which is a genuine and underappreciated advantage. The accrual bond’s quoted yield is the return you get; the coupon bond’s is a projection resting on an assumption about the future.

Where the structure appears

Government strips. Dealers separate a conventional bond’s coupons from its principal and sell each piece as a standalone zero-coupon instrument, which is the largest and most liquid form of this.

Corporate zero-coupon issues. A company that wants to borrow without servicing cash interest until maturity, which suits a project generating nothing until completion.

Accrual tranches in structured deals. The Z-tranche of a mortgage security accrues while earlier tranches are paid down, absorbing prepayment variability on their behalf.

And that last case is the most dangerous version. A Z-tranche combines maximum rate sensitivity with uncertainty about when the accrual even stops, and it is a structure that has produced losses well beyond what its holders had modelled.

The original data

This site’s thirty-year fee measurement: 5 basis points costs 1.5% of the final balance, 20 costs 5.8%, 75 costs 20.2%, 150 costs 36.5%.

That table is compounding measured over exactly the horizon this instrument operates on. An accrual bond is the same arithmetic pointed the other way — a rate compounding in your favour, uninterrupted, for the full term.

A candlestick chart annotated with the cost of a round trip.
A round trip costs a share of a bar. Illustrative chart - not real market data.

And the price volatility is real: on this site’s series the largest bar is 2.338 against a median of 0.493, a 4.7-times ratio. A long-dated accrual bond amplifies whatever the rate market does, so an ordinary move in yields produces an unusually large move in price.

A price series with volume shown beneath.
Volume and price measure different things. Illustrative chart - not real market data.

The tax problem

In many jurisdictions the accrued interest is taxable as it accrues. Income is assessed each year on an amount the holder has not received and cannot spend.

Which produces a cash-flow mismatch. A tax bill arrives annually against an instrument paying nothing until maturity, and the money to pay it must come from somewhere else.

Tax-sheltered accounts remove the problem entirely, which is why these instruments are held disproportionately inside pensions and similar wrappers.

The general rule is that this is a structure for a specific purpose. Matching a known future liability — a school fee, a defined pension payment — with a known future sum, inside a shelter. Held for any other reason, its properties tend to be liabilities rather than features.

How a strip is created

A dealer buys a conventional government bond and registers its individual payments as separately tradeable securities - each coupon date becomes one instrument and the final principal becomes another.

Each piece is then an accrual bond of its own maturity. A thirty-year bond with semi-annual coupons produces sixty short zeros plus one thirty-year zero, all backed by the same government.

And the process reverses. Reconstitution reassembles the pieces into the original bond, which is what keeps the prices of the parts consistent with the price of the whole - if the sum of the strips drifted away from the bond, somebody would trade one against the other.

That arbitrage is why strips are priced sensibly at all. They are not a separate market with its own supply and demand; they are a decomposition of one that already exists.

When it fails

The characteristic failure is holding one without a matching liability. The instrument is bought for its locked return, and then rates rise sharply. A thirty-year accrual bond can lose a very large share of its market value on a move that costs a coupon bond a fraction of that, and the holder who needs to sell realises the full loss. The locked return was always conditional on holding to maturity — that condition is the entire basis of the guarantee, and it is the condition most likely to break when the price has moved.

A candlestick series with a gap through a level.
A gap skips the level entirely. Illustrative chart - not real market data.

A second failure is ignoring the tax on phantom income, which is due whether or not cash arrives.

A third is underestimating the price sensitivity. These move far more than the maturity alone suggests.

A fourth is holding an accrual tranche without understanding prepayment, where the accrual period itself is uncertain.

A declining series cut short at a decision point.
Down thirty percent. Hold twenty more years? Illustrative chart - not real market data.

And a fifth is treating the credit risk as reduced. Nothing is received until the end, so the issuer’s survival matters for the whole term rather than being partly recovered through coupons.

Bond duration covers the measure this structure maximises. Bond convexity covers the second-order effect that is largest here. And corporate bond covers the credit exposure carried for the full term.

What I actually do

This is the purest interest rate instrument available. Strip out every intermediate payment and what is left responds to rate changes more violently than anything else of the same maturity — which makes it both the best hedging tool and the worst thing to hold by accident.

— Michael Whitman

This page is educational, not financial advice. Test every idea on your own charts before risking money.