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Lesson 19 of 25 · 7 min

How a rate moves without notice

A reset happens because a published number changed, and nothing in that chain requires anyone to tell you first.

A rate that changes without notice sounds like a lapse. It is the opposite: it is a process working exactly as documented, in which the notice was given once, in the agreement, and covers every future reset.

Four things in the agreement define the chain. The index is named. A reset frequency is stated. An observation convention says which day's published value is used, often a few business days before the reset. And a rounding rule says what to do with the result — commonly rounding up to the nearest eighth of a percentage point, or to the nearest basis point.

The rounding rule deserves attention because it is the one step that is not a pass-through. Rounding up to the nearest eighth can add anything from nothing to 0.124 of a percentage point, depending purely on where the observed index happens to land. On a large balance that is real money accruing daily, produced by a convention rather than by a market. The convention also runs in one direction only, which is what separates it from rounding to the nearest basis point: that rule is symmetric and averages out over many resets, and rounding up does not.

Notice obligations, where they exist at all, attach to the spread and to structural changes, not to the reset. So the rate on a facility can be different tomorrow with no letter, no message, and no event to point at — and the statement, as Track 5 lesson 11 showed, will print only the rate in force at the close.

Key terms

Observation convention
The rule naming which published value of the index is used, including any lookback of a few business days before the reset date.
Rounding rule
The convention applied to the index before the spread is added. Rounding up to the nearest eighth of a point is common and is not a pass-through.
Accrual engine
The system that holds the current rate and applies it daily to the balance. What a reset actually writes to.

Worked example

What rounding adds on one reset

A $1,840,000 balance. The agreement observes the index five business days before the reset, rounds up to the nearest eighth of a point, and adds a 1.95 percent spread. Act/360.

Index observed on the lookback date
4.5612%
Rounded up to the nearest eighth
4.6250%

An addition of 0.0638 of a point.

Rate applied
6.5750%

4.6250 plus 1.9500.

Interest for 30 days at that rate
$10,081.67

$1,840,000 × 0.06575 / 360 × 30.

Cost of the rounding over those 30 days
$97.83

$1,840,000 × 0.000638 / 360 × 30.

Nearly a hundred dollars in a month came from a rounding convention. No index moved to produce it and no decision was taken.

Check yourself

An agreement observes an index at 3.8840 percent, rounds up to the nearest eighth of a percentage point, and adds a 2.30 percent spread. The balance is $625,000 for a 31-day month on an Act/360 basis. What is the rate, and what did the rounding cost?

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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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