Money Maths: Profit, Size and Margin · Chapter SO03.4
Risk-first learningIndependent practiceNo membership or sign-in required
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.
BLACK BOX JOURNEY · INTERACTIVE CHART LAB
The spread is visible between two prices
EURUSD is quoted to five decimal places: 0.00010 = 1 pip, and 0.00001 = 0.1 pip (one pipette). Candles below show imaginary Bid OHLC prices. The amber Ask line sits above the teal Bid line. Choose a spread and a trade side to see why opening and immediately closing a position costs money.
Buy opens at Ask
1.20012
Instant close at Bid
1.20000
Immediate gross price result
-1.20 USD
The buy opens at Ask and closes at Bid. Without market movement, the price difference alone produces a −$1.2 result at the imaginary $1/pip trade size. Actual broker spread, commissions, slippage, contract specifications and candle feed conventions vary.
Second Officer · SO03: Money Maths: Profit, Size and Margin · About 25 minutes
Safety rule: Measure net results from executed prices and itemised charges, not idealised chart candles.
Your mission today
By the end you can reconcile the actual trading costs of a completed demo deal without double-counting spread.
Before you start
Your SO03.1 trade ledger and a sample broker fee schedule. All prices and account balances below are imaginary teaching figures, not actual market data.
1. Understand the problem
The price on the shelf is not the whole bill
A restaurant meal can cost more after service charges. Trading also has more than one possible cost. Spread is the difference between Bid and Ask. Commission is a separately charged fee. Swap or financing may apply for holding a leveraged position through certain rollover times. Slippage is the difference between an intended price and actual execution.
A cost is not automatically charged in every product or account. Always identify how your actual broker records it. Some charges appear in deal history, while others require account or contract disclosures.
2. Worked example: show the loss first
Imagine a completed fictional trade that earns +$12.00 gross when calculated from its actual executed opening and closing prices.
The trade has a separate $1.20 commission and $0.30 overnight financing debit. Net result: $12.00 − $1.20 − $0.30 = +$10.50.
To study the loss first, imagine instead that the price result was −$12.00 under the same charges. Net is −$13.50. That negative case is the outcome you must make affordable when planning.
The entry and exit fills already reflect the relevant executable Bid and Ask. Do not subtract a second estimated spread amount from that fill-based P/L. For a midpoint-based backtest, however, execution friction may need to be modelled explicitly.
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 SO03.4. 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
Spread changes with the quote
If a conventional EURUSD quote is Bid 1.1000 and Ask 1.1002, spread is 0.0002, or two pips. A long opened at Ask and closed immediately at unchanged Bid starts two pips negative before separate commission.
That example does not establish the spread in tomorrow's market. During thin liquidity, market openings, or some scheduled announcements, spreads can widen. A screenshot of one tight quote cannot prove a consistent cost structure.
4. Test the limitations
Financing and conversion depend on the product
A leveraged position held overnight may incur a financing charge or credit. Broker schedules vary. Some markets have triple-rollover conventions, other products have different settlement mechanics, and rates can change.
Your account currency may differ from the profit currency. A platform may convert a result at its applicable rate and charge additional conversion costs. Keep rate, time, currency and fee separate. Never assume all instruments use EURUSD's $10-per-pip standard-lot example.
5. Record a defensible decision
Build a cost-aware test
A strategy backtest that uses midpoint candles without spread or commission can show a very different result from a real account. Write the assumption on the test before looking at profit.
For each demo trade, reconcile opening and closing fills, separately posted commission, financing, conversion and net total. If your test includes an explicit spread estimate, verify that the fill prices do not already include the same cost. Compare alternative realistic assumptions without adjusting them to make a strategy look profitable.
6. Reconcile price cost without charging the spread twice
Synthetic EURUSD quote: Bid 1.08000, Ask 1.08020. A buy opened at Ask and immediately closed at unchanged Bid has a 2-pip price loss. At an invented $1 per pip, that is −$2. Add an illustrative $0.80 round-trip commission and net result becomes −$2.80. If a separate overnight charge of $0.50 applies, net becomes −$3.30. These are separate invented charges; real broker schedules differ.
The entry and exit quotes already include the quoted spread. Do not subtract another $2 merely because the report has a column labelled spread. That would double-count it. Conversely, a midpoint-only backtest that used 1.08010 for both entry and exit has not included the executable bid/ask cost.
Practice record: Make two columns, GROSS PRICE RESULT and OTHER CHARGES. Reconcile three imaginary trades with explicit Bid, Ask, size, commission and financing. Record the broker specification and date for each real demo example.
Common mistake
Subtracting the spread twice makes a real trade look worse; ignoring it in midpoint-only backtesting makes a strategy look better. Both errors distort the result. Use a consistent accounting method and label each cost once.
Plain-English glossary
Spread: Ask minus Bid at a quoted moment.
Commission: A separately charged execution fee.
Swap: Overnight financing under certain contracts.
Slippage: Difference between intended and executed price.
Gross result: Price P/L before separately recorded charges.
Net result: P/L after the applicable charges.
Try it yourself
Build an itemised ledger for five imaginary trades and five actual demo fills. Recompute net P/L independently. Include one overnight hold, one loss, one currency conversion and a case where spread is already embedded in fills. Write down exactly why it must not be subtracted twice. 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
Explain spread, commission, financing and slippage.
Reconcile net P/L without double-counting.
Document cost assumptions before assessing a strategy.
Next lesson
SO03.5 · Losing Streaks and Total Exposure. 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.