Money Maths: Profit, Size and Margin · Chapter SO03.1
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Independent student audit copy. This revised Student Edition is still under instructor and learner review. The questions are formative only; formal grades and private answer keys are not available here.
Second Officer · SO03: Money Maths: Profit, Size and Margin · About 25 minutes
Safety rule: Start with the adverse outcome. Use executed prices, not the prettier numbers on a chart.
Your mission today
By the end you can calculate gross and net profit or loss for a long or short trade from actual deal prices.
Before you start
Your SO02.2 Bid/Ask trade sheet, your SO01.2 contract specification, and a calculator. All prices and account balances below are imaginary teaching figures, not actual market data.
1. Understand the problem
Think of a receipt, not a chart
A shop owner knows the final result only after comparing what they paid with what they received. Trading works the same way. A long position gains when the actual exit price is higher than the actual entry price. A short position gains when the exit price is lower. That does not mean either direction is more likely to win.
The gross price result comes from signed price movement multiplied by contract units. The net result also includes commission, financing and applicable conversion charges. Keep these as separate lines. A cash deposit, withdrawal or change in account equity is not the same thing as a realised trading profit.
2. Worked example: show the loss first
Imagine a EURUSD derivative where one full lot represents EUR 100,000. The example uses 0.20 lot, meaning EUR 20,000 of contract exposure. A long buys at an executed Ask of 1.1002 and exits at an executed Bid of 1.0992.
Loss first: (1.0992 − 1.1002) USD/EUR × EUR 20,000 = −$20 gross. If a separate $1 round-trip commission applies, the result is −$21 net, excluding other charges.
For a favourable comparison, an exit at Bid 1.1012 gives (1.1012 − 1.1002) × 20,000 = +$20 gross and +$19 after the same $1 commission. Both prices already include the applicable quote sides. Do not deduct an imaginary spread again.
Open the diagram for full-size detail on a mobile screen. All illustrated prices are synthetic unless explicitly sourced as historical market data.
Original Black Box Journey diagram. Imaginary training figures; not a real historical trade.
BLACK BOX JOURNEY · LESSON VISUAL WORKSHOP
See the concept, the decision and the mistake
4 original teaching figures for lesson SO03.1. Read each panel in order and compare the chart, calculation or decision with the explanation above. Tap Expand for a full-size review. Diagrams and prices are classroom illustrations, not live market records or validated trading signals.
Loading 4 teaching visuals…
3. Apply the idea
A short reverses the sign
Imagine the same EUR 20,000 exposure sold at an executed Bid of 1.1000, then closed by buying at Ask 1.1010. Since a short benefits when the exit is lower, the ten-pip increase creates −$20 gross, before costs.
If the close were 1.0990 instead, the short would gain +$20 gross. Write direction, entry side, exit side and contract units on the worksheet before calculating. A positive price change is not always a positive account result.
For other instruments, use their actual tick value or contract multiplier. If the profit currency differs from the account currency, add a conversion line with the applicable rate.
4. Test the limitations
Reconcile the complete trading record
Make a ledger with seven entries: direction, filled entry price, filled exit price, volume, contract units, gross price result, and separate costs. Compare the total with the platform history. A commission may be posted on entry, on exit, or both. An overnight swap may be a credit or a debit. Read the actual deal records rather than using a blanket assumption.
Never hide a rejected order, a partial fill or a trade closed in several deals. Reconcile each execution and its volume. If the statement does not match your worksheet, label the difference UNRESOLVED and investigate. A neat spreadsheet is not evidence if the underlying fills are wrong.
5. Record a defensible decision
Check a different account currency
Suppose your net result is an imaginary −$21 USD and a teaching conversion rate is RM4.40 per USD. The corresponding amount is −RM92.40, before conversion fees. Use the rate that actually applies to the account, which can change with time and broker rules.
This process builds a habit: calculate the loss correctly before celebrating a profit. It also prepares you for position sizing. The result you want never changes the contract size you have.
Common mistake
Recording +$20 gross as +$20 net hides commission and financing. Using a midpoint chart price also hides the effect of executable Bid/Ask quotes. Recalculate from history, with each cost recorded once.
Plain-English glossary
Long: A position benefiting from a higher exit price.
Short: A position benefiting from a lower exit price.
Gross P/L: Price gain or loss before separately recorded charges.
Net P/L: Actual result after applicable trading costs.
Contract multiplier: Units represented by a stated trading volume.
Try it yourself
Reconcile ten demo trades, including both directions and at least one partial close. Show every fill, contract size, commission, financing and currency conversion. Save your signed ledger and record any unresolved difference instead of forcing a match. Keep the original inputs and your final result together in your student journal.
PRACTISE · TEST YOUR UNDERSTANDING
Quick check
Select an answer or type your own for each question. Press Submit practice to review the five responses. This is a formative beta exercise, not a graded assessment.
0 / 5 answered
Answer all 5 questions to submit.
What you can now do
Calculate gross P/L with signed contract units.
Reconcile net costs without double-counting.
Convert the final result to account currency.
Next lesson
SO03.2 · Position Size Before the Click. Read it after completing the worksheet above, not just after reading the headings.
Student clarity check
Could you explain the idea in your own words, reproduce the calculation and complete the exercise without seeing an instructor's answer? Does the diagram actually show the concept? Please record exact lesson codes and specific points of confusion for the independent Claude audit.