← Reading a statement

Lesson 15 of 25 · 6 min

What LTV on the statement is measured against

The same loan over the same collateral produces two ratios, and only one of them is the test.

Loan-to-value is the drawn balance divided by a collateral stock. The statement prints one such ratio: LTV on market value, at close. Recover it: $1,858,563.47 ÷ $6,032,795.00 = 0.30808, printed as 30.81%. The same close over lending value is a different ratio, and that second ratio is not on the page: $1,858,563.47 ÷ $3,277,251.25 = 0.56711, or 56.71%.

LTV = drawn balance ÷ collateral stock

drawn balance
The numerator. At close, $1,858,563.47. At open, $1,847,220.00.
collateral stock
Either market value or lending value. The page's printed LTV uses market value.
LTV
A percentage. Meaningful only once the denominator is named.

The printed 30.81% is the ratio that matches this facility's maintenance basis. The threshold is 70% of market value, so the test compares 30.81% with 70%. The 56.71% figure is a true description of the same close against a different stock. It is not the test. Quoting 56.71% against a 70% market-value threshold compares two numbers that do not share a denominator.

At the open the same pair exists. $1,847,220.00 ÷ $6,032,795.00 = 30.62% on market value. $1,847,220.00 ÷ $3,277,251.25 = 56.37% on lending value. Interest of $11,343.47 lifted the market-value LTV by 0.19 points with no price movement at all, because the positions table is a 31 March mark and the numerator grew. The printed line is a close-only, market-value-only snapshot. Stating an LTV without naming the stock is how those two ratios get swapped, and the swap is a 26-point error on this page.

Key terms

LTV on market value
Drawn balance divided by total market value. Printed at close as 30.81%. The ratio this threshold is tested against.
LTV on lending value
Drawn balance divided by total lending value. At close, 56.71%. True, and not the test on this page.
Denominator basis
Which collateral stock the ratio uses. The printed LTV and the printed threshold must share one, or the comparison is empty.

Worked example

One close, two ratios

Closing drawn balance $1,858,563.47 against the two 31 March totals.

Printed LTV, market value at close
$1,858,563.47 ÷ $6,032,795.00 = 30.81%
Unprinted LTV, lending value at close
$1,858,563.47 ÷ $3,277,251.25 = 56.71%
Printed threshold
70% of market value
Gap, printed LTV to printed threshold
70% − 30.81% = 39.19 points
Invented comparison of 56.71% to 70%
13.29 points

A tighter-looking gap on the wrong stock.

Opening LTV on market value
$1,847,220.00 ÷ $6,032,795.00 = 30.62%

The page prints the ratio that shares a basis with the threshold. The other ratio is 26 points higher and is still not the test.

Check yourself

Closing drawn balance $1,858,563.47, market value $6,032,795.00, lending value $3,277,251.25, threshold 70% of market value. What LTV does the statement print, and what mistake does quoting 56.71% against 70% make?

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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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