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Lesson 17 of 25 · 6 min

Accrued versus capitalised interest

Accrual is the daily earning; capitalisation is the moment that earning becomes new principal.

Accrued interest is the amount earned by the lender over the days in a period, whether or not it has been added to principal. Capitalised interest is that amount at the moment it is added. On this page the two printed legs are the accrual, $3,934.07 + $7,409.40 = $11,343.47, and the closing drawn balance is the capitalisation: $1,847,220.00 + $11,343.47 = $1,858,563.47.

The legs were computed on a flat opening. There is no intra-month compounding on the page. Each day of the first eleven used $1,847,220.00, not $1,847,220.00 plus yesterday's slice. Capitalisation happens at period end, when the sum of the legs is folded into the close. If the $11,343.47 had been billed and paid, the close would have equalled the open. Draws and repayments are $0.00, so the entire lift is unpaid interest becoming new principal.

That new principal is the April opening. The next period's first day, if the rate is still 7.22%, accrues on $1,858,563.47 rather than on $1,847,220.00. One extra day's interest at that rate is $1,858,563.47 × 0.0722 ÷ 360 = $372.75, against $1,847,220.00 × 0.0722 ÷ 360 = $370.47 on the old principal — $2.28 a day of extra accrual from this month's capitalisation alone.

The statement therefore uses both words' facts without always using both words. “Interest charged” is the accrual. “Closing drawn balance” is the capitalisation. Confusing them produces a double-count: adding $11,343.47 to a close that already contains it, or treating the close as principal-only and missing that next month's base has already grown.

Key terms

Accrued interest
Interest earned over the period's days. On this page, the two legs totalling $11,343.47, computed on the flat opening.
Capitalised interest
Accrued interest added to principal. Here, the same $11,343.47, visible as the lift from opening to closing.
Period-end capitalisation
Adding the month's accrual once, at the close, rather than compounding it daily inside the month.

Worked example

The same $11,343.47 in two roles

March interest on HW-SB-44107, then one invented April day at the closing stated rate.

Accrual, leg 1
$1,847,220 × 0.0697 × 11 ÷ 360 = $3,934.07
Accrual, leg 2
$1,847,220 × 0.0722 × 20 ÷ 360 = $7,409.40
Accrual, month
$11,343.47
Capitalisation, into the close
$1,847,220.00 + $11,343.47 = $1,858,563.47
One April day on the new principal, 7.22%
$1,858,563.47 × 0.0722 ÷ 360 = $372.75
Same day on the old principal
$1,847,220.00 × 0.0722 ÷ 360 = $370.47

Accrual is the $11,343.47 earned in March. Capitalisation is that sum becoming the April base. The $2.28 a day is the sequel, not a second March charge.

Check yourself

March interest is $11,343.47, opening $1,847,220.00, close $1,858,563.47, no draws. Is the $11,343.47 already inside the close, and what opening does April inherit if nothing is paid?

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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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