What is a synthetic long?
In one line: A synthetic long is a long call and a short put at the same strike and expiry, a combination that gains and loses almost exactly like owning 100 shares, which shows that a short put carries nearly all of a stock's downside.
How it works
Buy a Call option and sell a Put option at the same Strike price and Expiration date. Above the strike, the call gains dollar for dollar with the stock. Below the strike, the short put loses dollar for dollar. Put together, the pair rises and falls like 100 shares. That's a synthetic long.
It works because of a rule called put-call parity: a call, a put and the stock at the same strike are linked, so any one of them can be rebuilt from the other two. Rearrange it and you get the line that matters for sellers:
Short put = long stock + short call.
A short put, on its own, behaves like owning 100 shares with a call sold against them. It's a Covered call in disguise. Same capped upside (the premium). Same downside (almost all of the stock's).
That's why the wheel strategy treats a cash-secured put as "buying the shares at a discount". In risk terms, you already own them.
An example (hypothetical)
An illustration, not a trade idea. Made-up stock XYZ trades at $50. Compare three positions, all 30 days out:
- A: 100 shares bought at $50.
- B: Buy the $50 call for $2.00, sell the $50 put for $2.00. Net cost $0 (a synthetic long).
- C: Sell the $50 put alone for $2.00, cash set aside $5,000.
| XYZ at expiry | A: 100 shares | B: synthetic long | C: short $50 put |
|---|---|---|---|
| $60 | +$1,000 | +$1,000 | +$200 (capped) |
| $50 | $0 | $0 | +$200 |
| $45 | −$500 | −$500 | Assigned: −$500 + $200 = −$300 |
| $35 | −$1,500 | −$1,500 | Assigned: −$1,500 + $200 = −$1,300 |
A and B are the same trade. C is A with the upside sold off for $200. Below $50, C loses almost as much as owning the shares outright. The premium cushions $200 of a $1,500 fall.
Why it matters for sellers
The synthetic long isn't a trade most wheel sellers put on. It's a lens. Once you see that a short put is long stock plus a short call, three things follow:
- Size the put like shares. The risk is the strike times 100, not the premium.
- Don't sell puts on stocks you wouldn't buy. You're effectively buying them now.
- Margin can hide this. A broker may let you sell the put for much less than $5,000 of collateral. The downside doesn't shrink; only the deposit does. See Margin requirement.
A simple test before any short put: ask "would I buy 100 shares of this at the strike today?" If no, the put is a no.
Questions
How does a synthetic long work?
A long call and a short put at the same strike and expiry. The call gains above the strike, the short put loses below it, so together they move like 100 shares for a tiny net cost.
Why does a synthetic long matter if I only sell puts?
Because the same math says a short put equals long stock plus a short call. Selling a put is taking on almost all the downside of owning the shares in exchange for a capped premium.
Is a synthetic long the same as buying the stock?
Nearly. The payoff is the same, but you don't get dividends, the position expires, and your broker charges margin on the short put. Most people who want the stock just buy the stock.
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