Derivatives, One Step at a Time

Futures Mark-to-Market: Daily Settlement Example

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Futures gains and losses arrive every day

Unlike our simple forward examples, futures settle gains and losses day by day. Use four 25-bag contracts: 100 bags of long exposure. Settlement quotes follow $21 → $19 → $22 → $20. Begin with a $600 account balance; for now, deliberately exclude top-ups and withdrawals.

Predict first, run the calculation, then make the requested change. Each exercise has a check; enter numbers without units.

What is futures mark-to-market?

Mark-to-market updates a futures position using settlement prices. Daily gains are credited and daily losses debited to the account. For a constant-size long position, daily P&L = quantity × (today’s settlement − previous settlement); use entry price for the first interval. A short reverses the sign.

Worked daily settlement ledger

For 100 bags of long exposure entered at $21, start with $600 collateral and exclude top-ups, withdrawals, interest and fees:

DaySettlement priceDaily P&LCumulative P&LAccount balance
Entry$21—$0$600
1$19−$200−$200$400
2$22+$300+$100$700
3$20−$200−$100$500

Daily P&L sums to 100 × ($20 − $21) = −$100. The $500 remaining balance includes contributed collateral; it is not $500 of profit. Maintenance margin and extra deposits are introduced in the next lesson.

Exercise 1 — Measure one day’s move

The first settlement quote is $19 after entry at $21. Subtract yesterday’s quote from today’s quote. For a long position, a negative change means a loss. The price change is dollars per bag; it is not yet the account’s whole loss.

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What is the signed first-day price change?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 2 — Apply all the quantity

Four contracts each cover 25 bags. Multiply the first-day change by both contract count and size. Forgetting the multiplier understates the cash movement. Compare the result with a one-contract position to see the effect of changing size.

In [ ]:
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What is the long position’s first-day P&L?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 3 — Post a loss to the account

Start with $600 and add the signed first-day P&L. The resulting account balance includes collateral as well as trading changes. A $400 balance does not mean a $400 profit. Maintenance thresholds are intentionally left out until the next notebook.

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What is the account balance after day one, with no top-up?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Read the picture

Build a daily settlement ledger and distinguish daily cash flows, cumulative P&L and account balance.

Build a daily settlement ledger and distinguish daily cash flows, cumulative P&L and account balance.

Exercise 4 — Use yesterday’s settlement

Day two settles at $22. Use $19, not the original $21, as the previous settlement quote. The day-two gain is calculated only for that day’s change. Comparing with entry gives a cumulative result instead, which is a different question.

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What is day two’s P&L?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 5 — Add the final day

Day three settles at $20 after day two’s $22. Add all three signed daily changes. Large gains on one day can coexist with an overall loss. Keep the sequence visible so you can explain where each amount came from.

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What is cumulative P&L after day three?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 6 — Reverse the cash flows for a short

For a short position, yesterday minus today reverses the sign. Calculate all three daily amounts for the same 100 bags. Each long gain is a short loss in this simplified matched example. The two sides are not both making money from the same price movement.

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CHECK YOUR UNDERSTANDING · WRITE AN ANSWER

What is the short’s cumulative P&L?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Read the picture

Build a daily settlement ledger and distinguish daily cash flows, cumulative P&L and account balance.

Compare the picture with the calculations above. The figure shows its stated original values; editing a cell does not change it.

Exercise 7 — Separate account balance from profit

The long started with $600 and lost $100 overall. Calculate its ending balance and subtract the initial contribution to recover trading P&L. No top-ups, fees or withdrawals are included here. Compare this with saying the account made $500: that would count the deposited money as profit.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · WRITE AN ANSWER

What is the ending account balance?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Remember

Build a daily settlement ledger and distinguish daily cash flows, cumulative P&L and account balance.

These are simplified examples with matching terms unless a mismatch is explicitly introduced. Quotes and margin rules are fictional. Fees, financing and withdrawals are excluded unless stated.

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