Synthetic Short Call
Description
Shorting the underlying and selling a put at the same strike, replicating the payoff of a short call using a short stock position and a put instead of a call.
Setup
- Sell (short) one unit of the underlying.
- Sell one put at the same strike as the call being replicated.
Context
A less common way to express the same bet as a naked short call, occasionally used when relative pricing between the put and call favors this construction.
Risk Profile
Maximum gain is the entry price minus the strike, plus the premium collected on the put. Loss grows without bound as the underlying rises.
Pros
- Can be cheaper to establish than a naked short call when options are relatively mispriced.
- Collects premium on the short put leg.
Cons
- Uncapped risk on a rally, same as a naked short call.
- Requires margin for both a short stock position and a short put.
- More complex to manage than a single short call.
Effect of Time
Time decay favors the position through the short put.
Effect of Volatility
Rising implied volatility hurts the position by inflating the value of the short put.
Look-Alike Strategies
Live Structure
| Position | Right | Ratio | Strike | Expiry | Premium | Fill Price | Est. Fee |
|---|---|---|---|---|---|---|---|
| Short | Underlying | 1 | — | — | $84413.4000 | $84413.4000 | $0.0000 |
| Short | Put | 1 | $84500.0000 | 24 Sep 2026 | $303.8882 | $278.5642 | $25.3240 |
Estimated Cost to Assemble
An estimate of what entering this structure right now would really cost: filling every leg by crossing the spread (the ask when buying, the bid when selling) instead of at the mid-price, plus an estimated exchange fee. Real fees and fills can differ from this estimate.
Payoff & Greeks vs. Underlying Price
The Greeks curves are a Black-Scholes model using each leg's current implied volatility, holding time to expiry fixed -- not live exchange data at every price, which only exists at the current price (dashed line).
Payoff at Expiration
This structure's value and profit/loss at expiration, at a handful of specific prices: every leg's strike, every breakeven, the current spot, and the chart's own range.
| Underlying Price | Value at Expiration | Profit / Loss | Return on Cost |
|---|---|---|---|
| $67600.0000 | -$84500.0000 | $217.2882 | +0.3% |
| $84413.4300 current | -$84500.0000 | $217.2882 | +0.3% |
| $84717.2882 breakeven | -$84717.2882 | $0.0000 | +0.0% |
| $101400.0000 | -$101400.0000 | -$16682.7118 | -19.7% |