Quick Answer
A speculator who is long a future but wants to floor the downside can buy a put at the futures level. The put offsets the long's losses below the strike while the long keeps its upside profit. The combined payoff is a long call, so long futures plus a long put equals a synthetic long call, the protective put.
This is the mirror of the previous section. There a short future added a call; here a long future adds a put. The direction flips, and so does the single option the combination replicates. This one has a name you will see on the exam: the protective put.
Long Future Plus Long Put
Start with a speculator who is long futures (bullish) but wants to floor the downside. The fix is to buy a put at, or near, the futures level.
- If the market falls, the long put's gains offset the long future's losses below the strike. The downside is floored; the put is the insurance.
- If the market rises, the long future profits and the put simply expires. The premium paid is the cost of having carried that insurance.
- The put is bought against a long future, so it is the floor under a position that would otherwise lose point-for-point as price falls.
This combination is the classic protective put (also called the married put when the option is bought at the same time as the futures position). It is the standard way to insure a long position without giving up the upside.
Trace the combined outcomes:
- Market falls → long future loses, long put gains below the strike → loss is limited.
- Market rises → long future gains, put expires → substantial profit on the rally.
Limited loss on a decline, profit on a rally: that is exactly the payoff of a long call. So long futures plus a long put equals a synthetic long call.
Think of it this way: the naked long is a bullish bet with no floor below it. Buying the put lays a floor under it. Once the floor is in, the position wins when prices rise and loses only a limited amount when they fall, which is the same thing a long call does from the start.
Exam Tip: Gotchas
- Long future plus long put is a synthetic long CALL, not a synthetic long put. The speculator is bullish, so the synthetic must be the bullish single option (the call). Calling it a synthetic long put inverts the position and is a critical error.
- The put is the fix because a long fears a DECLINE. A long future's risk is to the downside, so the insurance is the right to sell (a put), which gains as price falls. Adding a call here would pile onto the bullish side, not floor the risk.
- "Protective put" and "married put" both name this position. If a question describes buying a put to insure an existing long, the answer is the protective put, and its synthetic equivalent is a long call.
The Two Protective Synthetics Side by Side
The previous section and this one are mirror images. Line them up and the pattern locks in: the futures leg picks the option that insures its bad direction, and the synthetic matches the leg's original view.
| Futures position | Fears | Option added | Combined payoff (synthetic) |
|---|---|---|---|
| Short future (bearish) | A rally (unlimited-loss risk) | Long call (a ceiling) | Synthetic long put |
| Long future (bullish) | A decline (point-for-point loss) | Long put (a floor) | Synthetic long call |
Exam Tip: Gotchas
- The synthetic keeps the futures leg's original direction. A bearish short future stays bearish, so its synthetic is the bearish option (put). A bullish long future stays bullish, so its synthetic is the bullish option (call). If a synthetic answer flips the direction of the underlying futures view, it is wrong.
- The tell is which move each leg fears, not which option looks familiar. A short fears the rally and buys a call; a long fears the decline and buys a put. Matching the option to the feared move, then reading the synthetic off the combined payoff, gets the direction right every time.