← Knowing your number

Lesson 1 of 25 · 7 min

The number you can compute before anyone writes to you

The trigger is a division you already have the inputs for, and the letter only confirms it.

A statement arrives after the month has closed. The trigger it prints was already a quotient of two numbers you held on the last day: the closing balance and the maintenance threshold. On this sample the closing balance is $1,858,563.47 and the threshold is 70 percent of market value, so the trigger is $1,858,563.47 ÷ 0.70 = $2,655,090.67. The letter copies that quotient onto a page. It does not create it.

The same is true of headroom. Market value is $6,032,795. Subtract the trigger and the remainder is $3,377,704.33, which is 55.99 percent of the book. Both figures sit in the sample above; both are also obtainable from the rows without reading the summary line. Track 5 lesson 18 showed why a lending value is often absent from a statement. This track is the other half of that observation: several of the figures that do get printed are reconstructable before the envelope arrives.

What is not reconstructable from last month's letter alone is a new mark, a revised haircut, a draw, or a unit change. Those are the inputs that move. The operations do not. Division by the threshold, subtraction from market value, and the ratio of lending value to market value are the same three steps on the first of the month as they are on the statement date.

The number you can compute before anyone writes to you is the set of quotients and remainders implied by the last known balance, the last known book, and the stated threshold.

Key terms

Reconstructable figure
A printed total that is a sum or a quotient of other printed rows, and so exists before the letter restates it.
Trigger
Balance divided by the maintenance threshold. On this sample, $1,858,563.47 ÷ 0.70 = $2,655,090.67.
Statement lag
The interval between the last day of a period and the date a letter is produced. The arithmetic of the last day is already finished inside that interval.

Worked example

Three quotients already on the March rows

Halden & Wren sample, 31 March 2026. Closing balance $1,858,563.47, market value $6,032,795, lending value $3,277,251.25, threshold 70 percent of market value.

Trigger
$2,655,090.67

$1,858,563.47 ÷ 0.70.

Headroom in dollars
$3,377,704.33

$6,032,795 − $2,655,090.67.

Headroom as a percentage
55.99%

$3,377,704.33 ÷ $6,032,795.

Blended advance rate
54.32%

$3,277,251.25 ÷ $6,032,795.

What the letter adds to those four
A typeset restatement

Four divisions or subtractions recover the summary block. The letter is a confirmation of arithmetic that was already finished on 31 March.

Check yourself

On the March sample the closing balance is $1,858,563.47 and the threshold is 70 percent of market value. Which of the following is not created by the arrival of the letter?

  • The typeset line that reads trigger $2,655,090.67
  • The quotient $1,858,563.47 ÷ 0.70
  • The statement date of 2 April 2026
  • The facility identifier printed in the header

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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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