How to Calculate Profit and Loss for Expiry Futures Contracts

Understanding how to calculate profit and loss (PnL) is essential for anyone trading expiry futures contracts. Whether you're trading coin-margined or U-stablecoin-margined contracts, accurate PnL calculation helps you manage risk and make informed decisions. This guide breaks down the key formulas, provides practical examples, and answers common questions to help you master these calculations.

Key Terms and Definitions

Before diving into the formulas, it's important to understand the basic terms used in PnL calculations.

• Size: This refers to the number of contracts you hold in a position. In One-way mode, long positions have a positive size, and short positions have a negative size. In Hedge mode, both long and short positions have positive sizes.
• Entry Price: The average price at which you entered a position. This changes if you add to your position or reverse-open. Settlement replaces the entry price with the settlement price. Note that in the formulas below, "Size" is always a positive number.
• Face Value: The nominal value of one contract, which can be in crypto or fiat.
• Multiplier: A factor that adjusts the contract's value, often set to 1.
• Mark Price: The current fair price of the contract, used to calculate floating PnL.
• Close Price: The price at which a position is closed.
• Settlement Price: The price used when a contract expires or is settled.

Profit and Loss Formulas

Here are the essential formulas for calculating various types of PnL in expiry futures contracts.

Calculating Entry Price

When you increase your position size, the entry price is recalculated to reflect the new average.

For Coin-Margined Contracts:

Entry Price = (Current Size + Added Size) / (Current Size / Entry Price + Added Size / Added Size's Entry Price)

For U-Stablecoin-Margined Contracts:

Entry Price = (Current Size × Entry Price + Added Size × Added Size's Entry Price) / (Current Size + Added Size)

Floating PnL

Floating PnL represents the unrealized profit or loss of your open positions.

Coin-Margined Contracts:

• Long Positions: Face Value × |Size| × Multiplier × (1/Entry Price - 1/Mark Price)
• Short Positions: Face Value × |Size| × Multiplier × (1/Mark Price - 1/Entry Price)

U-Stablecoin-Margined Contracts:

• Long Positions: Face Value × |Size| × Multiplier × (Mark Price - Entry Price)
• Short Positions: Face Value × |Size| × Multiplier × (Entry Price - Mark Price)

Floating PnL Ratio

This ratio shows the percentage gain or loss relative to the margin used.

Floating PnL Ratio = (Floating PnL / Position's Margin) × 100%

Closed PnL

Closed PnL is the realized profit or loss when you close a position.

Coin-Margined Contracts:

• Long Positions: Face Value × |Size| × Multiplier × (1/Entry Price - 1/Close Price)
• Short Positions: Face Value × |Size| × Multiplier × (1/Close Price - 1/Entry Price)

U-Stablecoin-Margined Contracts:

• Long Positions: Face Value × |Size| × Multiplier × (Close Price - Entry Price)
• Short Positions: Face Value × |Size| × Multiplier × (Entry Price - Close Price)

Settlement PnL

Settlement PnL is calculated when a contract expires or is settled.

Coin-Margined Contracts:

• Long Positions: Face Value × |Size| × Multiplier × (1/Entry Price - 1/Settlement Price)
• Short Positions: Face Value × |Size| × Multiplier × (1/Settlement Price - 1/Entry Price)

U-Stablecoin-Margined Contracts:

• Long Positions: Face Value × |Size| × Multiplier × (Settlement Price - Entry Price)
• Short Positions: Face Value × |Size| × Multiplier × (Entry Price - Settlement Price)

Realized PnL

This is the total profit or loss after accounting for closed positions, settlements, and trading fees.

Realized PnL = Closed PnL + Settlement PnL + Trading Fee

Realized PnL Ratio

This ratio measures the percentage return on the margin used for closed positions.

Realized PnL Ratio = (Realized PnL / Closed Position's Margin) × 100%

Practical Examples

Let's apply these formulas with concrete examples to clarify how they work in real trading scenarios.

Example 1: Calculating Entry Price

U-Stablecoin-Margined Contracts
Suppose you hold a long BTC-USDT expiry futures position with a size of 10 contracts and an entry price of 100,000 USDT. You then open 5 more contracts at a fill price of 160,000 USDT.

Using the formula:

Entry Price = (Current Size × Entry Price + Added Size × Added Size's Entry Price) / (Current Size + Added Size)
= (10 × 100,000 + 5 × 160,000) / (10 + 5)
= (1,000,000 + 800,000) / 15
= 1,800,000 / 15
= 120,000 USDT

Coin-Margined Contracts
Imagine a short BTC-USD expiry futures position with a size of 10 contracts and an entry price of 100,000 USD. You add 5 more short contracts at a fill price of 80,000 USD.

Using the formula:

Entry Price = (Current Size + Added Size) / (Current Size / Entry Price + Added Size / Added Size's Entry Price)
= (10 + 5) / (10 / 100,000 + 5 / 80,000)
= 15 / (0.0001 + 0.0000625)
= 15 / 0.0001625
≈ 92,307 USD

Example 2: Calculating Floating PnL

U-Stablecoin-Margined Contracts
You have a long BTC-USDT position with a face value of 0.01 BTC, multiplier of 1, size of 10 contracts, entry price of 100,000 USDT, and mark price of 160,000 USDT.

For long positions:

Floating PnL = Face Value × |Size| × Multiplier × (Mark Price - Entry Price)
= 0.01 × 10 × 1 × (160,000 - 100,000)
= 0.1 × 60,000
= 6,000 USDT

Coin-Margined Contracts
You hold a short BTC-USD position with a face value of 100 USD, multiplier of 1, size of 1,000 contracts, entry price of 100,000 USD, and mark price of 80,000 USD.

For short positions:

Floating PnL = Face Value × |Size| × Multiplier × (1/Mark Price - 1/Entry Price)
= 100 × 1000 × 1 × (1/80,000 - 1/100,000)
= 100,000 × (0.0000125 - 0.00001)
= 100,000 × 0.0000025
= 0.25 BTC

Example 3: Calculating Floating PnL Ratio

U-Stablecoin-Margined Contracts
Assume your long BTC-USDT position has a floating PnL of 6,000 USDT and a position margin of 1,600 USDT.

Floating PnL Ratio = (Floating PnL / Position's Margin) × 100%
= (6,000 / 1,600) × 100%
= 3.75 × 100%
= 375%

Frequently Asked Questions

What is the difference between floating PnL and realized PnL?
Floating PnL refers to unrealized gains or losses on open positions, changing with the mark price. Realized PnL is the actual profit or loss from closed positions, settlements, and fees, reflecting completed trades.

How does leverage affect PnL calculations?
Leverage magnifies both gains and losses by allowing you to control a larger position with less capital. While the formulas themselves don't include leverage directly, it impacts the margin used, which affects PnL ratios and overall risk.

Why does the entry price change when adding to a position?
The entry price is recalculated to reflect the weighted average of all entries, ensuring accurate PnL calculations. This average accounts for different prices at which you increased your position size.

What is the significance of the settlement price?
The settlement price is used when a contract expires or is settled, determining the final PnL. It replaces the entry price in settlement calculations, finalizing all open positions at that price.

How are trading fees incorporated into realized PnL?
Trading fees, including maker and taker fees, are added to the realized PnL calculation. They reduce net profits or increase net losses, so always factor them into your overall strategy.

Can these formulas be applied to perpetual contracts?
No, expiry futures contracts have a settlement date and use these specific formulas. Perpetual contracts funding mechanisms and lack of expiry require different PnL calculations.

Final Tips for Accurate Calculations

Accurately calculating PnL is crucial for effective trading. Always double-check your inputs, such as size, entry price, and mark price, to avoid errors. Use a spreadsheet or trading journal to automate these calculations and track your performance over time. Remember that leverage increases risk, so manage your margin carefully to avoid significant losses.

For advanced tools and real-time data to enhance your trading strategy, explore more calculation resources. Staying informed and using reliable resources can help you navigate the complexities of futures trading with confidence.

This document is for informational purposes only and is not intended to provide investment, tax, or legal advice. Digital asset holdings involve risk and can fluctuate greatly. Leveraged trading magnifies gains and losses and may result in the loss of your entire investment. Past performance is not indicative of future results. Always consider your financial condition and risk tolerance before trading. You are solely responsible for your trading decisions.