What is a worked example of AUD/JPY?

Worked example: meaning and purpose

A worked example of AUD/JPY is a fully specified, step-by-step numerical scenario that shows how a movement in the AUD/JPY exchange rate translates into a measurable outcome for a hypothetical position. The key idea is transparency: you decide the starting rate, the ending rate, the size of the exposure, and any costs, then you calculate the result.

This is useful because it separates mechanics (how the math works) from variable conditions (what the market and a specific provider actually do). It also helps you check definitions such as what a “pip” means for a quoted pair and which currency you are effectively exposed to.

Mechanics: how AUD/JPY moves through calculations

AUD/JPY is the number of Japanese yen (JPY) per one Australian dollar (AUD). So if the AUD/JPY rate increases, AUD has strengthened versus JPY in that scenario; if it decreases, AUD has weakened versus JPY.

A generic way to build a worked example is:

1. Choose a starting rate (Rate0) and an ending rate (Rate1).
2. Choose an assumed position size in AUD (not JPY) to keep the direction clear.
3. Compute the change in rate: Δ = Rate1 − Rate0.
4. Convert that change into a profit or loss in JPY by multiplying by the AUD exposure.
5. Optionally subtract assumed costs (for example, a flat fee or an estimated spread equivalent).

Important assumption note: different platforms and contracts may define position size, contract units, and pip conventions differently. In this article, the example uses an explicitly stated simplified convention so the arithmetic is verifiable.

Evidence through a transparent numerical scenario

Assume a hypothetical long position meaning you buy AUD and sell JPY, with these assumptions:

• Rate0 = 105.00 JPY per AUD
• Rate1 = 106.20 JPY per AUD
• AUD exposure = 10,000 AUD
• No financing effects are included
• No execution slippage is included
• Costs are ignored in the first calculation (pure mechanics)

Step 1: Rate change

• Δ = 106.20 − 105.00 = 1.20 JPY per AUD

Step 2: Profit in JPY (mechanics)

• P/L = 10,000 AUD × 1.20 JPY/AUD = 12,000 JPY

Step 3: Interpret the direction Because the ending rate is higher, the long AUD position benefits under this convention, producing a positive result in JPY.

Now add one explicit limitation-style cost assumption to show sensitivity:

• Assume an estimated total cost equivalent of 300 JPY for the round-trip (representing spread and other frictional effects in a lump sum)

Then adjusted outcome:

• Adjusted P/L = 12,000 JPY − 300 JPY = 11,700 JPY

Key observation: even if the rate move is the same, the net result changes when costs are included. This is why a worked example must state assumptions about costs and execution.

Limitations and realistic failure modes

1. Quotation and pip conventions can differ: Some systems report decimals differently and define a “pip” step based on the displayed digits. If your pip definition is off, your converted profit/loss will be off.
2. Position sizing rules vary: Real products may use contract sizes, margin requirements, or leverage that change how exposure and profit/loss are computed. The simplified exposure approach here may not match a specific contract.
3. Execution uncertainty: Even if you choose Rate0 and Rate1, actual traded rates can differ due to slippage, liquidity, and order types.
4. Costs are not constant: Spreads, commissions, and other provider-dependent fees can vary over time and with market conditions.
5. Single-scenario limits: A scenario can show mechanics but cannot guarantee future outcomes. Historical relationships, if you were to derive them from data, do not ensure similar behavior again.

Verification and next question to ask

To independently verify a worked example, check that every calculation step follows from the stated assumptions:

• Confirm that AUD/JPY is treated as JPY per AUD.
• Confirm the rate change math (Rate1 − Rate0).
• Confirm that the profit/loss is computed as AUD exposure multiplied by the per-AUD rate change, with costs subtracted only if explicitly assumed.

If you want to go one level deeper, the next verification question is: “What contract unit size and pip definition does my specific platform use for AUD/JPY?