Lesson 2 of 25 · 7 min
What that means across a lifetime of holding
A gain that is never recognised has been deferred, not cancelled, and the deferral has arithmetic of its own.
Deferral is often described as though the gain has gone somewhere. It has not gone anywhere. It is still attached to the asset, waiting for an event that counts.
Two clocks run at once and they are independent. The first is the unrecognised gain, which grows whenever the asset appreciates and shrinks whenever it falls, and which is settled only by a disposal or by whatever else a system treats as one. The second is the loan, which grows with every day of accrued interest and shrinks only when it is repaid. Neither clock touches the other. A borrower who draws instead of selling has not removed the first clock; they have added the second.
Put numbers on twelve years. A holding worth $2,400,000 with a basis of $410,000 carries $1,990,000 of unrecognised gain. You draw $500,000. Assume, purely so the arithmetic runs, that the loan accrues at 6.4 percent and the collateral grows at 5.5 percent. The balance becomes $500,000 × 1.064^12 = $1,052,615. The collateral becomes $2,400,000 × 1.055^12 = $4,562,898, so the unrecognised gain is now $4,152,898. Nothing was recognised, and the amount not recognised more than doubled.
Three things the deferral does not do:
- It does not shrink the gain. The figure grows along with the asset.
- It does not detach the gain from the asset. A later disposal finds it intact.
- It does not pause the loan, which accrues on a schedule of its own.
That is the structural fact about a lifetime of holding: the unrecognised amount compounds with the asset, so the size of the eventual event grows with the length of the deferral. Whether the event ever arrives, and in whose hands, is the subject of lessons 18 to 20. Whether any of this describes a particular holder is not something a lesson can determine, because it turns on rules that differ by system and facts that differ by person.
Key terms
- Deferral
- An amount that has not yet been counted because no event has counted it. It is postponement, not cancellation.
- Unrecognised gain
- The difference between what an asset is worth and the figure that would be subtracted from its proceeds. It moves with the price.
- Compounding
- Growth applied to a total that already includes previous growth. It is what makes both clocks in this lesson accelerate.
Worked example
Two clocks, twelve years
A holding worth $2,400,000 with a basis of $410,000, and a $500,000 draw. Growth of 6.4 percent on the loan and 5.5 percent on the collateral are assumptions made so the arithmetic can be followed.
- Unrecognised gain at the outset
- $1,990,000
- Gain recognised on the draw
- $0
- Loan balance after twelve years
- $1,052,615
- Collateral after twelve years
- $4,562,898
- Unrecognised gain still attached
- $4,152,898
- Loan as a share of collateral
- 23.1%
$2,400,000 − $410,000.
$500,000 × 1.064^12.
$2,400,000 × 1.055^12.
$4,562,898 − $410,000.
$1,052,615 ÷ $4,562,898.
Twelve years of recognising nothing more than doubled the amount that has not been recognised. The deferral grew the thing it deferred.
Check yourself
A holding with a $410,000 basis grows from $2,400,000 to $4,562,898 over twelve years, while a $500,000 draw compounds to $1,052,615. How much of the gain has been recognised, and how large is the unrecognised amount now?
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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.