Quick Answer
Buying a call substitutes for long futures, capped at the premium, breakeven at strike plus premium; buying a put substitutes for short futures, breakeven at strike minus premium. Adding a call to short futures makes a synthetic long put; adding a put to long futures makes a synthetic long call, the protective put.
The whole unit on one sheet: swap in an option for a futures position, or add one to an existing position, and read off the new payoff.
How Do the Two Substitutes Compare to Their Futures?
- A bullish speculator can buy a long call instead of going long the future: risk limited to the premium, lost when the futures finishes at or below the strike. A long future has no floor below it.
- A bearish speculator can buy a long put instead of shorting the future: risk limited to the premium, versus a short future's theoretically unlimited loss, since the future has no price ceiling.
- Neither option buyer posts margin; the premium is the entire capital at risk and the return on equity (ROE) denominator.
What Is the Breakeven and ROE Formula?
- Long call breakeven = strike plus premium. Profit at expiration = (futures price minus strike) minus premium, once above the strike; below the strike, the loss is the full premium.
- Long put breakeven = strike minus premium (the sign flips). Profit at expiration = (strike minus futures price) minus premium, once below the strike; above the strike, the loss is the full premium.
- ROE = net profit divided by premium paid for both, since no margin is posted.
What Do the Worked Examples Show?
- Gold call: 1980 strike, 20-point premium, futures finishes at 2030. Breakeven = 1980 plus 20 = 2000. Intrinsic value = 2030 minus 1980 = 50. Net profit = 50 minus 20 = 30. ROE = 30 divided by 20 = 150%.
- Crude oil put: 80 strike, 4-point premium, futures finishes at 68. Breakeven = 80 minus 4 = 76. Intrinsic value = 80 minus 68 = 12. Net profit = 12 minus 4 = 8. ROE = 8 divided by 4 = 200%.
What Does Adding an Option to a Futures Position Create?
- Short futures plus a long call = synthetic long put. A short fears a rally, so the call caps the open-ended upside risk while the short keeps its downside profit.
- Long futures plus a long put = synthetic long call, the protective put (or married put). A long fears a decline, so the put floors the downside while the long keeps its upside profit.
- The synthetic keeps the futures leg's original direction: bearish short stays bearish, bullish long stays bullish. Flipping it is a critical error.
What Is the Covered Call and What Does It Trade Away?
- Long futures plus a short (written) call = covered call. The premium is collected, not paid, cushioning a small decline and boosting a flat-to-up return.
- The upside is capped at the short strike. Downside protection is only partial; a large drop still loses money net of the premium.
- The payoff equals a synthetic short put, but NFA's tested label is covered call. It is margined, so its ROE uses a margin-based denominator, not the bare premium.
Which Numbers Matter Most?
| Strategy | Breakeven | Maximum loss | ROE denominator |
|---|---|---|---|
| Long call (substitute) | strike plus premium | premium | premium |
| Long put (substitute) | strike minus premium | premium | premium |
| Short futures plus long call | none (synthetic long put) | capped by the call | premium on the bought leg |
| Long futures plus long put | none (synthetic long call) | floored by the put | premium on the bought leg |
| Long futures plus short call | none (covered call) | partial, net of premium | margin-based |
Which Gotchas Trip Students Up?
- Breakeven signs flip: the call ADDS the premium, the put SUBTRACTS it. Mixing up the two is the single most common calculation trap in the unit.
- Short futures plus a long call is a synthetic long PUT, and long futures plus a long put is a synthetic long CALL. Naming either backwards inverts the position.
- A covered call gives only partial downside protection, not a floor. Calling it "fully hedged" is wrong.
- A bought option's ROE divides by the premium; the covered call's does not. It carries margin on the long future instead.
One-Breath Recap
A bullish speculator can buy a call instead of going long the future, and a bearish speculator can buy a put instead of shorting it, each capping risk at the premium, with breakeven at strike plus premium for the call and strike minus premium for the put, and return on equity dividing by that premium since no margin is posted. Adding a bought call to a short future manufactures a synthetic long put, and adding a bought put to a long future manufactures a synthetic long call, the protective put, each synthetic keeping the futures leg's original direction. Writing a call against a long future instead, the covered call, collects the premium, caps the upside at the strike, cushions only part of a decline, and is margined rather than sized by the bare premium.
Need more than the recap? Read the full Option Speculative Strategies unit.