← Stressing a position

Lesson 12 of 25 · 6 min

How much must be sold to cure, at a 70 percent threshold

Closing a $241,972.67 gap at seventy percent means selling $806,575.57, which is the gap divided by 0.30.

Selling pledged collateral to close a shortfall moves both sides of the ratio. Each dollar sold reduces the balance by a dollar and the market value by a dollar. At a 70 percent threshold, a dollar sold closes only 30 cents of gap, because 70 cents of permitted balance disappears with the collateral.

sale to cure = shortfall ÷ (1 − threshold)

sale to cure
The market value that must be sold, with the proceeds applied to the balance, to close the printed gap.
shortfall
Trigger minus market value. $241,972.67 on the 60 percent book.
1 − threshold
0.30 on this facility. The portion of each dollar sold that actually closes gap.

On the 60 percent book the shortfall is $241,972.67, so the sale is $241,972.67 ÷ 0.30 = $806,575.57. Check the product the other way: $806,575.57 × 0.30 = $241,972.67. The printed gap is closed by construction of the multiple.

After that sale the balance is $1,858,563.47 − $806,575.57 = $1,051,987.90 and the market value is $2,413,118.00 − $806,575.57 = $1,606,542.43. The new trigger is $1,051,987.90 ÷ 0.70 = $1,502,839.86. The leftover book sits $103,702.57 above that new trigger, because the trigger itself falls as the balance falls. The $806,575.57 figure is the sale that closes the $241,972.67 gap at 30 cents on the dollar; the leftover surplus is what the falling trigger adds on top. Selling the gap dollar-for-dollar would leave the test still failed, because the collateral in the denominator would have fallen by the same amount as the loan.

Key terms

Sale to cure
The dollars of pledged market value that must be sold, proceeds applied to the loan, to close a stated shortfall.
Gap closed per dollar
One minus the threshold. At 70 percent, each dollar sold closes 30 cents of shortfall.
Leftover surplus
The headroom that remains after the sale because the trigger falls with the balance. On this sale it is $103,702.57.

Worked example

A $241,972.67 gap and an $806,575.57 sale

Uniform 60 percent book. Market value $2,413,118.00. Trigger $2,655,090.67. Threshold 70 percent.

Shortfall
$241,972.67

$2,655,090.67 − $2,413,118.00.

Sale to cure
$806,575.57

$241,972.67 ÷ 0.30.

Balance after the sale
$1,051,987.90

$1,858,563.47 − $806,575.57.

Market value after the sale
$1,606,542.43

$2,413,118.00 − $806,575.57.

New trigger
$1,502,839.86

$1,051,987.90 ÷ 0.70.

Leftover surplus
$103,702.57

The gap was $241,972.67. The sale was 3.333… times that figure. The leftover surplus is the trigger falling as the loan is paid down.

Check yourself

On the 60 percent book the shortfall is $241,972.67 and the threshold is 70 percent. How much must be sold to cure, and what is the leftover market value?

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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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