← Behaviour under leverage

Lesson 11 of 25 · 6 min

Sunk cost and the position you built over eleven years

The contributions and the effort behind them are real, and the collateral arithmetic uses exactly one number, today's mark.

The sunk cost effect is the use of an unrecoverable past expenditure as a reason for a present decision. The expenditure is real, the effort behind it is real, and neither appears in any equation that governs what happens next.

Take 132 monthly purchases across eleven years totalling $487,400, now worth $1,246,000. The average contribution was $487,400 ÷ 132 = $3,692 a month. The unrealised gain is $1,246,000 − $487,400 = $758,600. Two of those three numbers describe the past. The lender uses exactly one of them: at a 55 percent advance rate, capacity is $1,246,000 × 0.55 = $685,300, and the cost base appears nowhere in that line.

The $487,400 has one live use, which is the calculation of tax on a sale. Beyond that it is history. It does not raise the advance rate, does not lower the threshold, does not extend a cure period and does not enter the maintenance test. It is, however, the figure a holder reaches for when explaining why the position cannot be reduced, and it is doing the work of an argument while containing no information about the future.

The asymmetry between how the position was built and how it can move is worth stating in a single unit. A 12.4 percent decline removes $1,246,000 × 0.124 = $154,504 in one session. At $3,692 a month, that is $154,504 ÷ $3,692 = 41.8 months of contributions — three and a half years of accumulation, undone between two closing prices, with no decision taken by anyone.

Effort and value are measured in the same currency and accumulate at completely different speeds. The market never sees the eleven years.

Key terms

Sunk cost
Money already spent that cannot be recovered by any future choice. It is irrelevant to what happens next, and rarely feels that way.
Cost base
What was paid for a holding, in total. Used for tax and for nothing in the collateral arithmetic.
Current mark
Today's price times the shares held. The single valuation input to capacity, headroom and the maintenance test.

Worked example

Eleven years, measured against one session

132 monthly purchases totalling $487,400, now worth $1,246,000. Advance rate 55%.

Average monthly contribution
$3,692

$487,400 ÷ 132.

Unrealised gain
$758,600

$1,246,000 − $487,400.

Capacity
$685,300

$1,246,000 × 0.55. The cost base does not appear.

Value removed by a 12.4% decline
$154,504

$1,246,000 × 0.124.

That decline, in months of contributions
41.8

$154,504 ÷ $3,692.

Three and a half years of deposits and one ordinary bad session are the same number. Only one of them took three and a half years.

Check yourself

A position was built with 132 contributions totalling $487,400 and is now worth $1,246,000. Which of those figures enters the lender's capacity calculation?

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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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