Recreating a Futures Position with Options

Understanding the Idea Behind a Synthetic Long

Options are flexible instruments.

By combining different Calls and Puts, you can create payoff structures that resemble other financial instruments.

One such structure is a long futures position.

A normal long futures position has a simple linear payoff:

• If the underlying rises, you make money.
• If the underlying falls, you lose money.
• The profit or loss changes almost point-for-point with the movement in the underlying.

A Synthetic Long attempts to recreate this same payoff using options.

How Does a Long Futures Position Work?

Suppose you enter a long futures position at a particular price.

At the time of entering the position, there is no profit or loss.

If the underlying moves above your entry level, you make a profit.

If it moves below your entry level, you make a loss.

For example, if a futures position is entered at ₹2,360:

• Market moves to ₹2,370 → ₹10 profit
• Market moves to ₹2,350 → ₹10 loss
• Market moves to ₹2,400 → ₹40 profit
• Market moves to ₹2,300 → ₹60 loss

The payoff is therefore linear.

The gain from a particular upward movement is equal to the loss from the same-sized downward movement.

This linearity is one of the defining characteristics of futures.

Creating the Same Payoff with Options

The Synthetic Long uses two option positions:

Buy 1 ATM Call

and

Sell 1 ATM Put

Both options should have:

• The same underlying
• The same expiry
• The same strike

This combination creates a payoff that closely resembles a long futures position.

The structure can therefore be remembered as:

Long Call + Short Put = Synthetic Long

Why Does This Combination Work?

The reason becomes clearer when you look at the behaviour of the two options.

Long Call

A Call benefits when the underlying rises.

So the long Call provides the upside participation.

Short Put

A short Put also benefits when the underlying rises.

If the underlying falls, however, the short Put begins creating a loss.

Therefore, the two positions together produce a payoff that moves broadly in line with the underlying.

This is what allows the combination to replicate the behaviour of a long futures position.

The Basic Setup

Suppose the underlying is trading around an ATM strike.

You:

Buy ATM Call

and simultaneously:

Sell ATM Put

The two options should belong to the same expiry series.

The premiums paid and received determine whether the Synthetic Long is established for a net debit or net credit.

The overall position then behaves similarly to a long futures contract, with the initial net premium influencing the breakeven level.

Understanding the Payoff

The easiest way to understand the Synthetic Long is to consider three situations.

Market Rises Above the Strike

The Call becomes profitable.

The short Put does not create a loss because the market is above the Put strike.

The overall position therefore gains as the market rises.

Market Remains Around the Strike

Both options have limited intrinsic value.

The result depends largely on the net premium paid or received when the position was created.

Market Falls Below the Strike

The Call can expire worthless.

But the short Put begins generating a loss.

This creates downside losses similar to those experienced by a long futures position.

Therefore:

Market rises → Profit

Market falls → Loss

This is the basic linear behaviour that we are trying to replicate.

Calculating the Breakeven

The Synthetic Long's breakeven depends on the ATM strike and the net premium.

The formula is:

Breakeven = ATM Strike + Net Premium Paid

If the strategy is established for a net debit, the debit is added to the strike.

For example, if:

• ATM Strike = ₹2,360
• Net Premium Paid = ₹20

Then:

Breakeven = ₹2,360 + ₹20

= ₹2,380

Above ₹2,380, the position begins generating a profit.

Below ₹2,380, the position begins generating a loss.

The exact result depends on the premium structure at the time the position is created.

Why Would You Create a Synthetic Long?

If a futures contract already gives you a long futures payoff, why recreate it using options?

There are a few reasons.

One important reason is to compare the relative pricing of futures and options.

If the Synthetic Long is priced differently from the corresponding futures contract, there may be an opportunity to construct an arbitrage position.

This is where the second part of the strategy becomes important.

Synthetic Long and Arbitrage

The basic idea is simple.

Suppose you can create a Synthetic Long using options at one effective price, while the corresponding futures contract is available at another price.

You can potentially:

• Buy the cheaper exposure
• Sell the more expensive exposure

If the difference is large enough, the trade may produce a positive payoff after accounting for transaction costs.

For example:

Synthetic Long + Short Futures

can potentially create an arbitrage position if the resulting expiry payoff is positive.

The important condition is that the profit should remain positive after all applicable expenses.

What Does Arbitrage Mean Here?

Arbitrage is not simply:

"I found two different prices."

There must be an opportunity to lock in a positive, non-zero payoff through the combination of positions.

Suppose:

• Synthetic Long is relatively cheap.
• Futures are relatively expensive.

You could potentially:

Buy the Synthetic Long

and

Sell the Futures

If both positions replicate the same underlying exposure, their directional movements can offset each other.

The difference in pricing can then potentially become the arbitrage profit.

Why Must the Payoff Be Checked at Expiry?

The most important test is to examine what happens when the contracts expire.

You should calculate the combined payoff of:

Synthetic Long + Short Futures

If the combined position produces a positive payoff regardless of the underlying's final price, there may be an arbitrage opportunity.

But if the apparent price difference disappears after considering:

• Brokerage
• Taxes
• Exchange charges
• Other transaction costs

then the opportunity may not actually be profitable.

Therefore, the strategy should be evaluated on net P&L, not simply on the apparent price difference.

Why Transaction Costs Matter

An arbitrage opportunity can look attractive on paper but disappear in practice.

Suppose the theoretical difference between two positions is small.

The actual trade may involve several costs.

These can include:

• Brokerage
• Taxes
• Exchange-related charges
• Other applicable trading expenses

Therefore:

Theoretical arbitrage is not necessarily practical arbitrage.

The final calculation should always be based on the expected net payoff after expenses.

Synthetic Long vs Actual Futures

The Synthetic Long demonstrates the flexibility of options.

Instead of using futures directly, you can combine Calls and Puts to construct a similar payoff.

The Role of the Strike

The Call and Put used in the Synthetic Long should have the same strike.

If the strike prices are different, the payoff will no longer replicate the standard long futures structure in the same way.

The classic construction therefore uses:

Buy ATM Call + Sell ATM Put

with:

• Same strike
• Same expiry
• Same underlying

This symmetry is important for creating the desired payoff.

A Simple Mental Model

You can remember the Synthetic Long using this equation:

Long Call + Short Put = Long Futures-like Payoff

The Call gives you upside exposure.

The short Put creates downside exposure.

Together, they produce a position that behaves similarly to owning the underlying through a futures contract.

Key Takeaways

1. Options can be combined to replicate the payoff of other financial instruments.
2. A Synthetic Long attempts to recreate the payoff of a long futures position.
3. The classic structure is:
   • Buy ATM Call
   • Sell ATM Put
4. Both options should have the same underlying and expiry.
5. The Call provides upside participation.
6. The short Put creates downside exposure.
7. The combined payoff is broadly similar to a long futures payoff.
8. Breakeven = ATM Strike + Net Premium Paid.
9. A Synthetic Long can be compared with an actual futures position to identify potential arbitrage opportunities.
10. One possible arbitrage structure is Synthetic Long + Short Futures.
11. An apparent pricing difference is not enough; the combined position must produce a positive payoff after expenses.
12. Brokerage, taxes and other transaction costs must be included before considering an arbitrage opportunity.
13. The key idea is that options can be combined to create linear futures-like exposure.