Synthetic Short Stock
Buying a put and selling a call at the same strike replicates short stock exposure.
Profit / Loss Diagram
Synthetic Short Stock at expiration
What is this strategy?
The Synthetic Short Stock is the inverse of the Synthetic Long. It is built by buying 1 put and selling 1 call, both at the same strike and expiration. The result is perfectly bearish price exposure replicating the geometry of a 100-share short position, without needing to borrow shares to sell short. It is an elegant alternative to traditional short selling that avoids borrow requirements and borrow costs.
Mathematically, a long put plus a short call at the same strike creates a perfectly linear P&L that falls $1 for every $1 the price rises, exactly like shorting the stock. If you buy the 180 put and sell the 180 call, your exposure is identical to shorting 100 shares of AAPL at $180. If AAPL falls to $160 you gain on both sides; if it rises to $200 you lose on both.
The Synthetic Short appeals to anyone wanting bearish exposure without the friction of an actual short sale: there is no need to locate borrowed shares or pay their cost, and it works in accounts where direct shorting is not permitted. In exchange it retains in full the <strong>unlimited upside risk</strong> of a short sale, because the sold call has no ceiling.
Construction
| Action | Instrument | Strike | Expiration | Example |
|---|---|---|---|---|
| BUY | 1 Put | Same strike | Same expiration | +1 AAPL Oct 180 Put |
| SELL | 1 Call | Same strike | Same expiration | -1 AAPL Oct 180 Call |
Example
Scenario: AAPL at $187. You expect a decline but prefer options to short selling.
- Put Purchased +1 AAPL Oct 180 Put @ $3.50
- Call Sold -1 AAPL Oct 180 Call @ $4.50
- Net Credit +$100 (450 − 350)
- Maximum Gain $18,100 (180 × 100 + $100 credit), if AAPL falls to zero
- Maximum Loss Unlimited (if AAPL rallies hard)
- Breakeven $181.00 (180 strike + 1.00 net credit)
- Profit if AAPL = $170 $1,100 (the $1,000 from the put plus the $100 credit)
The Greeks
Delta is roughly −100, identical to shorting 100 shares. You gain point for point as price falls.
The long put carries negative theta; the short call carries positive theta. They roughly cancel, leaving it neutral.
The purchased put carries positive vega and the sold call negative vega: they cancel, leaving the position practically insensitive to implied volatility.
The purchased put carries positive gamma and the sold call negative gamma: they cancel, leaving perfectly linear downside exposure.
Position Management
- 01 Set a Stop Loss Above As with any short, set a stop if price rises beyond tolerance. If AAPL climbs to $185-190, consider closing to avoid larger losses.
- 02 Monitor Assignment When In the Money If AAPL falls the put is in the money and you can exercise. If it rises the call is in the money and you may be assigned — obliged to deliver shares you do not own.
- 03 Manage Call Assignment If the call is assigned because AAPL rose, you are forced to deliver 100 shares at the strike. You must have the shares or the cover.
- 04 Take Profits on Declines Unlike a short sale where letting gains run is easy, close once you have captured 25–50% of the maximum potential gain.
- 05 Close if Your View Changes If you change your mind about the bearish outlook, close easily by buying the call back and selling the put. You are not trapped as in a real short.