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Trading arithmetic — lesson and practice

Trading arithmetic · 4 min read

Course workbook · beginner · Content reviewed 2026-09-07

Download the course workbook

What you will learn

Long and short P&L

For a long position, gross P&L is exit minus entry, multiplied by quantity and instrument multiplier. For a short position, reverse the price difference. Record the direction explicitly rather than relying on a sign convention that may change between files.

Gross versus net P&L

Net P&L subtracts all applicable costs from gross P&L. Commissions, financing and conversion charges may be reported separately. Avoid subtracting a spread again when it is already reflected in actual entry and exit fills.

Weighted average entry

For entries at different prices, a quantity-weighted average is total price-times-quantity divided by total quantity. A simple average is correct only when quantities are equal. Partial exits require a consistent matching method and reconciliation with the provider statement.

Currency conversion

Convert a P&L amount into account currency using the appropriate rate and convention. Multiplying when the rate is quoted in the inverse direction produces a unit error. Preserve the rate, timestamp and any conversion fee so the result can be reconstructed.

Worked example

Buy one unit at 100 and three at 104: average entry is (100 + 312)/4 = 103. Exit all four at 105 with multiplier one: gross P&L is 8. If total separately charged costs are 3, net P&L is 5.

Try it yourself

For a short of two units entered at 108 and exited at 105 with multiplier ten, compute gross P&L and then subtract 7 of total costs.

Show the worked solution

A short gains from the decline: (108 − 105) × 2 × 10 = 60 gross. Net P&L is 53 after subtracting costs. Reversing the subtraction would incorrectly turn the winning short into a loss.

Apply this to your course project

Produce a checked workbook of ten sizing and P&L cases, including losing trades.

Keep the calculation inputs, assumptions and decisions with your work. Practical exercises are self-reviewed; the scored knowledge checks assess the questions shown, not an independent certification of practical competence.

Reference reading

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