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Trading and options · Long and short stock scenarios

Leverage Calculator

Created by Arunangshu DasReviewed

Calculate opening exposure or leverage and see what a price move does to allocated capital.

Compare gross profit or loss with the same allocation at 1×.

Linear exposure scenario

Use the same major currency for all amounts. Enter decimals with a period and no grouping separators.

Formatting only. The calculator performs no currency conversion.

Enter a positive price move for a rise and a negative move for a fall. Account equity adds a separate account leverage figure.

Modeled exposure and profit or loss

Enter your exposure assumptions or load the worked example.

This single price scenario excludes financing, fees, taxes, margin calls and forced exits.

Learn to calculate leverage

Follow long and short examples and see what changes when notional or allocated capital stays fixed.

Read the leverage guide

Formula and methodology

Gross P&L = opening notional × signed price move ÷ 100.

Gross P&L = opening notional × signed price move ÷ 100. A long uses the supplied price move. A short reverses its sign. Add P&L to allocated capital for the residual. Divide P&L by allocated capital and multiply by 100 for gross return on allocated capital.

Definitions

Position notional is the opening exposure. Allocated capital is the amount assigned to that position. Position leverage divides notional by allocated capital. Effective account leverage divides the same notional by separately supplied account equity.

Verified worked examples

With 1,000 allocated at 5×, notional is 5,000. A 2% fall gives a long loss of 100 and leaves 900 of modeled capital. At 1× the same capital and move give a loss of 20. A short on 5,000 gains 100 on the same price fall.

Interpretation

At fixed capital, higher leverage increases notional and magnifies the monetary result of a given move. At fixed notional, changing allocated capital changes leverage and the percentage return on capital. The monetary P&L stays the same. A negative residual means the modeled loss exceeds allocated capital.

Inputs and interpretation

Choose long or short and enter positive allocated capital. Supply a leverage multiple to solve notional, or supply notional to solve the multiple. Enter a signed underlying price move. Optionally enter account equity for a separate leverage figure. Changing modes clears the mode-specific input.

Assumptions and limitations

One linear exposure and one price change in a consistent currency. The 1× comparison holds allocated capital, direction and price move fixed. The result uses the opening notional and has no annualization or compounding.

Supported domain and common mistakes

Inputs allow up to 12 decimal places. Capital, notional and optional equity are positive and at most 1 trillion. Equity must cover allocated capital. Position leverage ranges from 1× to 1,000×, and the price move ranges from −100% to +1,000%. Monetary outcomes use exact arithmetic. Ratios and percentages use up to 24 significant digits.

Apply the price move to notional once. Multiplying that P&L by leverage again double-counts the exposure. Use an underlying price fall as a negative move for either direction. The calculator handles the sign of a short.

Frequently asked questions

How do I calculate a position's leverage?
Divide opening position notional by the positive capital allocated to the position.
What does 5× leverage mean in this calculator?
Opening notional is five times allocated capital. An allocation of 1,000 gives notional of 5,000.
Why is account leverage lower than position leverage?
A larger account equity denominator gives a lower multiple for the same notional.
Can my modeled loss exceed allocated capital?
Yes. Gross loss can exceed that allocation, and the calculator displays a negative residual when it does.
Do I enter a rise as negative for a short?
Enter the underlying move as observed or assumed. A rise is positive and a fall is negative. The calculator reverses the P&L sign for a short.
What happens if I leave account equity blank?
The calculation reports position leverage and omits effective account leverage.

Sources and educational scope

Educational gross mark-to-market scenario. Financing, fees, taxes, FX, margin requirements and forced exits are outside this model. The result does not determine broker buying power, liquidation prices or product eligibility.

Reviewed . AI-assisted content under operator editorial responsibility. No independent expert financial review is claimed.

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