← Stressing a position

Lesson 2 of 25 · 6 min

Apply a 19 percent market-wide decline to the March statement

Every row is multiplied by 0.81, the blend does not move, and lending-value LTV prints as 70.01 percent.

The statement above is the unstressed book. A 19 percent decline on every row means each market value, and each lending value, is multiplied by 0.81. Advance rates stay where the March schedule put them. The balance stays at $1,858,563.47. The threshold stays at 70 percent of market value.

Market value after the move is $6,032,795 × 0.81 = $4,886,563.95. Lending value is $3,277,251.25 × 0.81 = $2,654,573.52. Because every row was scaled by the same factor, the blended advance rate is unchanged: $2,654,573.52 ÷ $4,886,563.95 = 54.32 percent, the same ratio the March close printed.

Market LTV is $1,858,563.47 ÷ $4,886,563.95 = 38.03 percent. The trigger is still $2,655,090.67. Headroom is $4,886,563.95 − $2,655,090.67 = $2,231,473.28, which is 45.67 percent of the stressed book. The shortfall is $0: market value still sits above the trigger.

Lending-value LTV is a different story. $1,858,563.47 ÷ $2,654,573.52 = 70.01 percent. Against a 70 percent test written on lending value, the same afternoon that still has 45.67 percent of market-value headroom has already arrived at the line. The $517.15 by which lending value sits under $2,655,090.67 is the whole of that arrival.

A uniform price move scales both sides of the blend by the same factor. The blend is silent. The two LTV bases are not.

Key terms

Uniform decline
The same percentage applied to every pledged row. It scales market value and lending value by one factor and leaves the blended advance rate unchanged.
Stressed market value
The sum of the rows after each has been repriced. After a 19 percent decline on this book it is $4,886,563.95.
Shortfall
The amount by which collateral value sits below the trigger. Zero when the test still passes.

Worked example

Nineteen percent off the March close

Every row multiplied by 0.81. Balance $1,858,563.47. Threshold 70 percent of market value.

Stressed market value
$4,886,563.95

$6,032,795 × 0.81.

Stressed lending value
$2,654,573.52

$3,277,251.25 × 0.81.

Market LTV
38.03%

$1,858,563.47 ÷ $4,886,563.95.

Headroom
45.67%

($4,886,563.95 − $2,655,090.67) ÷ $4,886,563.95.

Lending-value LTV
70.01%

$1,858,563.47 ÷ $2,654,573.52.

Shortfall on the market-value test
$0

The market-value test still has $2,231,473.28 of room. The lending-value test is already at seventy percent, off by $517.15.

Check yourself

After a 19 percent decline on every March row, market value is $4,886,563.95 and lending value is $2,654,573.52. What is LTV on each basis, and which test is closer to 70 percent?

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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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