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Synthetic

Synthetic Put

Short stock plus buying a call gives the same P/L profile as a long put. Useful when you already hold a short and want to cap the upside risk.

Max GainCapped — Short cost − Call premium (underlying at zero)
Max LossCapped — Call strike − Short cost + Call premium
Break-evenShort cost − Call premium
TypeDebit (the call premium)
Ideal IV environmentLow IV (IV Rank ≤ 25) — you pay cheap premium and profit from a volatility expansion

Profit / Loss Diagram

Synthetic Put at expiration

Strike Call Ganancia (down) Pérdida limitada

What is this strategy?

The Synthetic Put replicates the P/L profile of a Long Put using short stock plus buying 1 call. The result is identical to buying a put: gains grow as the underlying falls but are capped, since price cannot go below zero, and the upside loss is limited by the call, which acts as the cover.

It is useful when you already hold a short stock position and want to cap squeeze risk. The purchased call covers the unlimited upside risk of the short stock.

Functionally equivalent to buying a put. The choice between a Synthetic Put and a direct Long Put depends on tax and margin context.

Construction

ActionInstrumentStrikeExpirationExample
SELL SHORT100 SharesN/AN/A-100 SPY @ $450
BUY1 CallATM or slightly ITM30-90 DTE+1 SPY May 455 Call

Example

Short 100 SPY at $450, buy 1 455 call for $5 as a hedge.

  • Short 100 SPY +$45,000 (received on the short sale)
  • Long 455 Call −$500
  • Maximum Loss $1,000 ($455 − $450 + $5 = $10 × 100)
  • Profit if SPY = $400 +$4,500 ($50 short gain − $5 call = $45 × 100)

The Greeks

δDelta — Bearish

Equivalent to the delta of an ITM or ATM long put.

θTheta — Negative

The call loses value with time.

νVega — Positive

The call appreciates as implied volatility rises.

γGamma — Positive

Long gamma from the call.

Position Management

  1. 01
    Roll the Call At 30 days to expiration, consider rolling the call to maintain continuous protection.

Frequently Asked Questions

When should this structure be opened?
When you already hold a short stock position and want to cap the risk of an upside squeeze. Short plus a purchased call replicates the profile of a long put.
What is its main risk?
The cost of the call and the fact that the gain is capped: the underlying cannot fall below zero, so the maximum is the sale price less the premium.
How is it managed before expiration?
By rolling the call or closing the whole position. The purchased call is what prevents an upward move from becoming an unlimited loss.
Which strategy is it most often confused with?
The direct long put, which produces the same profile without needing to maintain a short position. The choice usually depends on tax and margin context.