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Synthetic straddle

A straddle-like payoff built from stock plus options rather than two options: for example 100 short shares against two long calls.

put-call-parity means a long put equals a long call plus short stock. Combine that with a second long call and you have the payoff of a straddle using only calls and shares. The reverse — long stock plus two long puts — gives the same V-shaped result.

Desks build straddles this way when one side of the chain is illiquid, when borrow makes the short stock leg profitable, or when they already hold the shares. For most retail traders the direct straddle is cheaper once you count the bid-ask-spread on three legs and the cost of carrying stock.

Example: XYZ at $50. Short 100 shares and buy two $50 calls at $2.30 each. Below $50 the short stock gains and the calls expire worthless; above $50 one call offsets the shares and the second is pure profit. The payoff matches the $50 straddle.

Related: straddle, put-call-parity, synthetic-call, delta-neutral

See it drawn

Original diagrams for the ideas on this page. Illustrative, not real market data.

Payoff of a long call at expiryA flat loss equal to the premium below the strike, turning upward at 45 degrees above it.Profit / loss per share08595115125Strike 105Max loss 3 — the premium paidBreakeven 108Profit keeps growingUnderlying price at expiry
Buying a call: payoff at expiry. A 105-strike call bought for 3 loses that whole 3 if the price finishes at or below 105, breaks even at 108, then gains a dollar for every dollar higher. The loss is capped at the premium; the upside is not capped.
Payoff of a long straddle at expiryA V shape with its point at the strike and both arms rising through zero as the price moves away.Profit / loss per share08090110120Profit if the move is big enough, in either directionStrike 100Breakeven 92Breakeven 108Max loss 8 — both premiums, if it finishes at 100Underlying price at expiry
Long straddle: payoff at expiry. A 100 call and a 100 put bought together for 8 make a V. A quiet market that ends near 100 costs the whole 8; the position only turns positive once the price finishes below 92 or above 108, whichever way it goes.

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