← Finding real advance rates

Lesson 2 of 25 · 6 min

Reconstructing blended from the five Halden & Wren rows

Five products and one division rebuild the collateral figure. Nothing else is required.

The March statement sits above this lesson. Each pledged row already carries a market value. The advance rate is the missing multiplier. Lending value is the product. The blend is the sum of the products divided by the sum of the market values.

Work the five lines. Meridian Industrial common: $1,838,300 × 0.50 = $919,150. Calder Growth common: $1,840,005 × 0.35 = $644,001.75. The broad-market equity collective: $891,420 × 0.70 = $623,994. Oakridge Utility preferred: $511,680 × 0.55 = $281,424. The short-duration government fund: $951,390 × 0.85 = $808,681.50.

Add the products: 919,150 + 644,001.75 + 623,994 + 281,424 + 808,681.50 = 3,277,251.25. Add the market values: 1,838,300 + 1,840,005 + 891,420 + 511,680 + 951,390 = 6,032,795. The quotient is 3,277,251.25 ÷ 6,032,795 = 0.543239, which is 54.32 percent to two decimals.

That is the whole reconstruction. If a later statement prints a blended figure without the row products, the same five multiplications recover it. If they do not recover it, either a row is missing, an advance rate has moved, or the printed blend is using a different perimeter — pledged versus unpledged, trade-date versus settlement. The arithmetic does not negotiate. A blend that cannot be rebuilt from the rows is not a second truth about the book; it is a discrepancy with a cause.

The blend is not a sixth input. It is a checksum on the five you already have.

Key terms

Row product
Market value multiplied by that row's advance rate. The lending value of one holding.
Reconstruction
Rebuilding a printed total from the lines that compose it, so a discrepancy has somewhere to live.
Perimeter
Which holdings enter the sum. A blend computed on pledged rows will not match a blend computed on the whole account.

Worked example

The March book, line by line

Halden & Wren statement dated 2 April 2026, covering 1 March to 31 March. Advance rates as printed on the five pledged rows.

Meridian lending value
$919,150

$1,838,300 × 0.50.

Calder lending value
$644,001.75

$1,840,005 × 0.35.

Collective lending value
$623,994

$891,420 × 0.70.

Oakridge lending value
$281,424

$511,680 × 0.55.

Government-fund lending value
$808,681.50

$951,390 × 0.85.

Blended advance rate
54.32%

$3,277,251.25 ÷ $6,032,795.

Every dollar of the $3,277,251.25 is a product you can point at. The 54.32 percent is only those dollars, divided.

Check yourself

Using only the five March market values and their advance rates, what two totals must you form before the blended rate exists, and what is that rate?

Saved in this browser only. No account, nothing sent anywhere.

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.

Dhruv Intelligence provides informational and educational intelligence only. Nothing on this site constitutes investment, legal, tax, or financial advice, or a recommendation to buy, sell, or hold any security or to enter into any transaction. All decisions remain solely those of the user. Dhruv Intelligence is not a registered investment adviser or broker-dealer.

Dhruv Intelligence™, MACH11™, and Monk Score™ are unregistered trademarks of Dhruv Intelligence, Inc. USPTO intent-to-use applications are pending for Dhruv Intelligence™ and MACH11™. None of the marks has registered. Patent Pending (US Provisional, 2026).

© 2026 Dhruv Intelligence, Inc. All rights reserved. · The fixed point.

New York, NY · San Jose, CA · Miami Beach, FL · Salt Lake City, UT

A SOC 1 and SOC 2 Type 1 audit is in progress with Thoropass, engaged August 13, 2026. No report has been issued. · Contact: info@dhruvintelligence.ai

Institutional Access →