Leveraged Return Calculator

On the sample figures used here, 10,000 of equity at 2x leverage is a 20,000 position. An 8% asset return produces 1,600, the 4% borrow rate costs 400, and the 1,200 left over is a 12% return on the 10,000 of equity. Run the same setup at a −4% asset return and the position loses 800 while the 400 of interest still falls due: −1,200, or −12% on equity. The general form is return on equity = asset return + (L − 1) × (asset return − borrow rate), so the multiplier applies to the gap between the two rates rather than to the asset return on its own.

How to use it

Enter your own cash as equity, the leverage multiple (total position divided by equity, so 1x is unborrowed), the asset's return rate, and the rate charged on the borrowed portion. The equity figure scales the cash rows but not the percentage: the return on equity is the same at 1,000 as at 1,000,000, so changing it moves Cash Gain / Loss and Total Position Size while the headline percentage stays where it is.

What the result means

The primary figure is the net return on equity as a percentage, after borrowing cost. The secondary rows show the gross gain on the whole position, the interest owed on the borrowed part, the cash left over, and two thresholds. The break-even asset return is where the gain on the whole position exactly covers the interest and the return on equity comes to zero: on the sample figures 2.00%, which is the 4% borrow rate spread across a position twice the size of the equity. Leverage stops adding to the return earlier than that, at the borrow rate itself, because the multiplier applies to the gap between the asset return and the borrow rate — above 4% that gap is positive, below it negative. At a 3% asset return the levered figure is 2.00% against 3.00% unlevered, even though break-even is still a full percentage point below.

The second threshold is the asset return that takes the equity to zero. It is arithmetic rather than a value the panel will accept: at 1.1x with a 4% borrow rate it reads −90.55%, past the −50% floor on the asset return field. It also turns positive once the interest on the borrowed part exceeds the equity itself, which happens where (L − 1) × the borrow rate passes 100. At 20x with a 50% borrow rate the threshold reads 42.50%, so a 42% gain on the asset still leaves nothing.

Why leverage is risky

Leverage shortens the distance to a total loss, and the arithmetic does not stop when it arrives. Ignoring interest, a 2x position is wiped out by a 50% fall in the asset and a 5x position by a 20% fall. Counting the interest, which this calculator subtracts, the thresholds arrive sooner: at a 4% borrow rate the equity is gone at a 48.00% fall on 2x and a 16.80% fall on 5x. The general form is wipeout asset return = (−100 + (L − 1) × borrow rate) ÷ L. The interest is owed whether or not the asset survives, so the figure runs past −100% once the fall is large enough: at 2x with a 4% borrow rate a 50% fall reads −104%, leaving the position owing more than the equity put into it. The multiplier runs in both directions while the borrow cost is subtracted either way, so wherever there is interest to pay a fall costs more on equity than a rise of the same size adds: on the sample figures an 8% asset gain lifts the return on equity to 12%, four points above unlevered, while an 8% fall drops it to −20%, twelve points below. The figure shown is the outcome for the inputs entered and nothing more — it assumes the position is held to the end of the period, where a margin call can force a sale first.

Worked example

Suppose you have 50,000 in equity and borrow 50,000 more at a 5% annual rate, creating a 2x leveraged position of 100,000 invested in an asset.

• Equity invested: 50,000
• Leverage multiple: 2x
• Total position: 100,000
• Asset return: 12% per year
• Borrow rate: 5% per year

Gross return on the full position: 100,000 × 12% = 12,000. Borrowing cost on 50,000: 50,000 × 5% = 2,500. Net cash gain: 12,000 − 2,500 = 9,500. Return on your equity: 9,500 ÷ 50,000 = 19%.

Without leverage, the same 50,000 at 12% returns 6,000, or 12%. Leverage lifted the return on equity from 12% to 19%: the 12% earned on the borrowed 50,000, less the 5% it cost. It moves the other way too, since a 12% fall would take the return on equity to −29% against −12% unlevered.

When this metric matters

Property investors call this gearing and run the same arithmetic on a mortgage; a margin account runs it on a broker loan; futures and other margined positions run it on the exchange's terms. The number that decides all of them is the gap between the asset return and the borrow rate, which is why the calculator asks for the two separately rather than for one net figure.

What this calculation does and does not capture

The calculator shows the arithmetic relationship between equity, leverage, asset return and borrowing cost across a single period.

It does not account for:

• Margin calls or forced liquidation
• Fees, taxes, or transaction costs
• Volatility or timing of gains and losses
• Variable or floating interest rates
• Collateral requirements or haircuts

It also models one holding period with static inputs. A real leveraged position runs against interest accruing daily or monthly, a borrow rate that can move, and a margin balance marked against the position as it goes.