How the debt-to-equity ratio works

Debt-to-equity asks how many dollars of borrowing sit behind each dollar of equity:

$$\text{D/E} = \frac{D}{E}$$

$D$ is what the company owes. $E$ is the residual after that, assets minus debt. On $800,000 of assets and $500,000 of debt, equity is $300,000 and the ratio is $500{,}000 / 300{,}000 = 5/3$, which prints as 1.67.

The leverage ratio calculator on this page prints three readings of one balance sheet: this 1.67, debt-to-assets 62.50 percent, and the equity multiplier 2.67. How leverage ratio works is that trio. This page is the first reading.

Book value is the equity in this ratio, not the market value of the shares.

Assets equal debt plus equity when $D$ is everything owed. Divide by equity:

$$\frac{A}{E} = \frac{D}{E} + 1$$

$5/3 + 1 = 8/3$, which is 1.67 and 2.67 once both are rounded. A source quoting 1.67 and a source quoting 2.67 about one sheet are agreeing, if both measured debt as total liabilities.

If the debt line is interest-bearing only, payables still sit in assets, and adding one to this ratio will not return the multiplier. Say which debt line you used.

Debt is a fixed claim. A 10 percent fall in asset values takes the assets to $800{,}000 \times 0.90 = 720{,}000$. Debt stays at $500,000. Equity falls to $220,000. Debt-to-equity is then $500{,}000 / 220{,}000$, which is larger than 1.67, because the denominator shrank.

No new loan was taken. The ratio moved because equity absorbed the whole loss. That is financial leverage: the residual is thinner, so the same debt looks larger against it.

How the equity multiplier works is the 26.67 percent fall in equity. This page is the D/E that sits on the sheet before and after.

Keep assets at $800,000. Cut debt to $200,000. Equity is $600,000. Debt-to-equity is 0.33. Debt-to-assets is 25 percent. The multiplier is 1.33.

After the same 10 percent asset fall, equity is $520,000. The ratio is still well below 1.67, because this residual started thicker. Identical assets, identical shock, a different D/E path, because the starting debt was different.

It does not say whether 1.67 is high. A utility with predictable cash flows commonly runs near this size. A software firm with few physical assets often runs close to 0. What compares is the direction of travel, and whether the cash flow covers the interest, which is how interest coverage works.

Banking uses leverage ratio for Tier 1 capital over exposure, where a higher number is a thicker buffer. That is the opposite direction from this page.

The household cousin is debt-to-income, payments against pay, not balances against equity.

It is not a market-value D/E, not an equity-multiplier engine, and not a claim that 1.67 is high. The three sheets are 1.67 on $800,000 of assets against $500,000 of debt (equity $300,000), the same sheet after a 10 percent asset fall (equity $220,000), and 0.33 on the same assets against $200,000 of debt (equity $600,000, then $520,000 after the fall). This is educational material, not financial advice.