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
- Opening LTV on market value
- $1,847,220.00 ÷ $6,032,795.00 = 30.62%
A tighter-looking gap on the wrong stock.
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.