Options strategies: breakeven, max gain, max loss

Last lesson you learned what calls and puts are and how premium splits into intrinsic and time value. This lesson answers the three questions you should ask about any option position before you take it:

1. Breakeven: where must futures be at expiration for the position to make zero?
2. Maximum gain: what is the best case?
3. Maximum loss: what is the worst case?

All the math here is at expiration, in price points, and ignores commissions. The CFTC’s options disclosure (17 CFR 33.7) reminds customers that real breakevens must also cover fees and other costs.

The trick for every one of them: at expiration, an option is worth only its intrinsic value. Add up what each leg is worth, subtract what you paid (or add what you collected), and you have the result.

The four basic positions

Use K for the strike and P for the premium.

Two patterns make this easy to remember:

• Buyer and seller share the breakeven. CME states this for both calls and puts. One side’s gain is the other side’s loss.
• Buyers risk only the premium. Sellers keep at most the premium.

Long call (made-up numbers)

CME’s own example: you pay 4.50 for a 100 call. Breakeven is 100 + 4.50 = 104.50, and the most you can lose is the 4.50 premium. Above 104.50, every point the futures rise is a point of profit, with no ceiling.

Short call (made-up numbers)

CME walks through selling a 105 call for 2.00:

• Futures at 112 at expiration: you are assigned and lose 7 on the futures, minus the 2 collected, a net loss of 5.
• Futures at 106: lose 1 on the futures, plus 2 collected, a net gain of 1.
• Futures at 100 or 94: the call expires worthless, you keep the 2.00. That is the max gain.

Breakeven is 105 + 2 = 107. CME notes call sellers have unlimited risk if futures keep rising.

Long and short put (made-up numbers)

CME’s put example: sell a 100 put for 6.00. The seller profits as long as futures stay above 94 (100 minus 6), which is also the buyer’s breakeven. The worst case for the seller is futures falling all the way to zero: a loss of 100 minus 6 = 94 points. CME’s point: put sellers do not have unlimited risk, but the risk can still be very large.

For the buyer of that same put, the max loss is the 6.00 premium and the max gain is 94 points (if futures went to zero).

A spread: the bull call spread

A vertical spread buys one option and sells another of the same type and expiration at a different strike (CFTC glossary). In a bull call spread, you buy the lower strike call and sell the higher strike call. The call you sell pays part of the cost of the call you buy, and in exchange it caps your upside.

CME’s example (made-up numbers): futures at 100. Buy the 105 call for 3, sell the 110 call for 2. Net cost (the debit) = 3 minus 2 = 1.

The formulas, with K1 the lower strike and K2 the higher:

• Max loss = the debit paid = 1
• Max gain = (K2 minus K1) minus the debit = 5 minus 1 = 4
• Breakeven = K1 + debit = 105 + 1 = 106

A bear spread is the mirror image: in a call bear spread, the purchased call has the higher strike (CFTC glossary), so it profits when prices fall.

A volatility play: the long straddle

A straddle is buying a call and a put with the same strike and expiration (CFTC glossary). CME describes it as a position for when you expect a move but are not sure which way.

With total premium = call premium + put premium:

• Breakevens: strike + total premium, and strike minus total premium.
• Max loss: the total premium, which happens if futures finish exactly at the strike.
• Max gain: unlimited on the upside (and large on the downside).

Made-up example: buy the 100 call for 3 and the 100 put for 2. Total premium 5. Breakevens are 105 and 95. At 100 at expiration, both options are worthless and you lose 5.

The short straddle flips it: the seller keeps the 5 only if futures finish right at the strike, and CME notes the loss is open-ended in either direction.

A checklist for any position

1. Write down each leg and its premium.
2. Find the net premium: paid (debit) or collected (credit).
3. Pick a few futures prices at expiration and value each leg at intrinsic value only.
4. Add the legs, then subtract the debit or add the credit.
5. Look for the price where the total is zero (breakeven) and the prices where it stops changing (max gain or max loss).

Key ideas

• At expiration, an option is worth only its intrinsic value; build every result from that.
• Long call and short call breakeven: K + P. Long put and short put breakeven: K minus P.
• Buyers risk only the premium. The short call has unlimited risk; the short put risks K minus P.
• Bull call spread: max loss = debit, max gain = strike gap minus debit, breakeven = lower strike + debit.
• Long straddle: breakevens at strike plus and minus total premium; max loss is the total premium.