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FINRA Series 7 · options math

Series 7 options cheat sheet: breakeven, max gain, max loss

Every options position the Series 7 asks about, with the formula and a worked example. Per-share figures; multiply by 100 for one contract.

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Single options

Calls up, puts down: add the premium to a call's strike, subtract it from a put's strike.

PositionBreakevenMax gainMax lossExample: 50 strike, premium 3
Long callStrike + premiumUnlimitedPremiumBE 53 · loss $300 · gain unlimited
Short (uncovered) callStrike + premiumPremiumUnlimitedBE 53 · gain $300 · loss unlimited
Long putStrike − premiumBreakeven × 100PremiumBE 47 · gain $4,700 · loss $300
Short putStrike − premiumPremiumBreakeven × 100BE 47 · gain $300 · loss $4,700
Buyer and seller mirror each other. Same breakeven; the buyer's max gain is the seller's max loss and the other way around.

Stock plus an option

Start from the stock price, then move by the premium: paying a premium moves the breakeven against you, receiving one moves it in your favor.

PositionBreakevenMax gainMax lossWorked example
Covered call (long stock + short call)Stock cost − premiumCall strike − cost + premiumBreakeven × 100Buy at 52, write 55 call at 2: BE 50 · gain $500 · loss $5,000
Protective put (long stock + long put)Stock cost + premiumUnlimitedCost − put strike + premiumBuy at 52, buy 50 put at 1.50: BE 53.50 · loss $350
Short stock + long callShort price − premiumBreakeven × 100Call strike − short price + premiumShort at 40, buy 42 call at 1: BE 39 · gain $3,900 · loss $300
Short stock + short putShort price + premiumShort price − put strike + premiumUnlimitedShort at 40, write 38 put at 1: BE 41 · gain $300

Spreads

Net the two premiums first. If you paid more than you received it is a debit spread; if you received more it is a credit spread.

SpreadBreakevenMax gainMax lossWorked example
Bull call (debit)Lower strike + net debitStrike gap − debitNet debitBuy 40 call at 4, sell 45 call at 1.50: debit 2.50 · BE 42.50 · gain $250 · loss $250
Bear call (credit)Lower strike + net creditNet creditStrike gap − creditSell 40 call at 5, buy 45 call at 2: credit 3 · BE 43 · gain $300 · loss $200
Bear put (debit)Higher strike − net debitStrike gap − debitNet debitBuy 50 put at 4, sell 45 put at 1: debit 3 · BE 47 · gain $200 · loss $300
Bull put (credit)Higher strike − net creditNet creditStrike gap − creditSell 50 put at 4.50, buy 45 put at 1.50: credit 3 · BE 47 · gain $300 · loss $200
Call spreads add, put spreads subtract. For call spreads the breakeven is the lower strike plus the net premium; for put spreads it is the higher strike minus the net premium. Debit spreads want the premiums to widen; credit spreads want them to narrow or expire worthless.

Straddles and combinations

PositionBreakevensMax gainMax lossWorked example
Long straddle (buy call + put, same strike)Strike ± total premiumUnlimitedTotal premiumBuy 50 call at 3 and 50 put at 2: BE 45 and 55 · loss $500
Short straddle (sell call + put, same strike)Strike ± total premiumTotal premiumUnlimitedWrite 50 call at 3 and 50 put at 2: BE 45 and 55 · gain $500
Long combination (different strikes)Call strike + total premium; put strike − total premiumUnlimitedTotal premiumBuy 55 call at 1.50 and 45 put at 1: BE 57.50 and 42.50 · loss $250

Four rules to check every answer

Calls up, puts downCall breakevens are above the strike; put breakevens are below it.
Anyone short a naked callHas unlimited maximum loss, so an answer with a dollar cap is wrong.
Buyers of optionsCan never lose more than the premium they paid.
Multiply by 100Formulas give per-share amounts; one standard contract covers 100 shares.

6 options math practice questions

Taken from the Series 7 course. Click an option; every option is explained, with the math.

0 of 6 answered · 0 correctEvery option is explained after you answer
F3 Information & RecommendationsQuestion 1 of 6

A customer buys 1 TUV Feb 60 put at 4. What are the customer's breakeven point and maximum potential gain?

  • Adding the premium gives a call's breakeven; a put breakeven is strike minus premium.
  • The stock cannot fall below zero, so a long put's gain is limited to breakeven x 100.
  • Both figures ignore that the premium reduces the gain and lowers the breakeven.
  • Correct. Breakeven = 60 - 4 = 56. Maximum gain occurs if TUV falls to zero: (60 - 4) x 100 = $5,600.
Why it matters: Puts down: breakeven = 60 - 4 = 56. Max gain = 56 x 100 = $5,600. Max loss = premium, $400.
F3 Information & RecommendationsQuestion 2 of 6

A customer buys 100 shares of KLM at $42 and writes 1 KLM Sep 45 call at 2. What is the customer's breakeven point?

  • This adds the premium to the stock cost; the premium received lowers the cost basis.
  • This is the call strike plus the premium, the breakeven for the call buyer.
  • Correct. Covered call breakeven = stock cost - premium = 42 - 2 = 40.
  • This is the call strike minus the premium, which has no meaning here.
Why it matters: Covered call: breakeven = 42 - 2 = $40. Max gain = (45 - 42 + 2) x 100 = $500. Max loss = 40 x 100 = $4,000.
F3 Information & RecommendationsQuestion 3 of 6

A customer buys 100 shares of CDF at $50, buys 1 CDF 45 put at 2, and writes 1 CDF 55 call at 2.50. What are the maximum gain and maximum loss?

  • These ignore the 0.50 net credit from the options.
  • This applies the net credit in the wrong direction on both sides.
  • Correct. Net credit 0.50. Max gain = (55 - 50 + 0.50) x 100 = $550. Max loss = (50 - 45 - 0.50) x 100 = $450.
  • The long 45 put limits the downside; the stock does not need to reach zero.
Why it matters: Net credit = 2.50 - 2 = 0.50. Upside capped at 55: (5 + 0.50) x 100 = $550. Downside floored at 45: (5 - 0.50) x 100 = $450.
F3 Information & RecommendationsQuestion 4 of 6

A customer buys 1 ABC Aug 50 call at 5 and sells 1 ABC Aug 55 call at 2. What is the breakeven point?

  • This subtracts the debit from the higher strike, which is the method for a put spread.
  • This adds the premium received to the higher strike.
  • Correct. Net debit = 5 - 2 = 3. Debit call spread breakeven = lower strike + debit = 50 + 3 = 53.
  • This adds the 3-point net debit to the higher strike (55 + 3); the debit is added to the lower strike.
Why it matters: Bull call spread: debit 3; breakeven = 50 + 3 = $53; max gain = (5 - 3) x 100 = $200; max loss = $300.
F3 Information & RecommendationsQuestion 5 of 6

A customer sells 1 JKL Sep 60 call at 5 and buys 1 JKL Sep 65 call at 2. What are the breakeven point and maximum loss?

  • Correct. Net credit 3. Credit call spread breakeven = lower strike + credit = 63. Max loss = (5 - 3) x 100 = $200.
  • Subtracting the credit from the lower strike is not correct for a call spread.
  • $300 is the net credit, which is the maximum gain.
  • The long 65 call caps the loss at the 5-point spread minus the credit.
Why it matters: Bear call spread: credit = 5 - 2 = 3; breakeven = 60 + 3 = $63; max gain = $300; max loss = (5 - 3) x 100 = $200.
F3 Information & RecommendationsQuestion 6 of 6

A customer buys 1 PQR Oct 50 call at 3 and 1 PQR Oct 50 put at 2.50. What are the breakeven points?

  • Correct. Total premium = 5.50. Breakevens = 50 - 5.50 = 44.50 and 50 + 5.50 = 55.50.
  • These apply the call premium to the downside and the put premium to the upside; use the combined 5.50.
  • These are each option's own breakeven (50 - 2.50 and 50 + 3); a straddle needs the combined 5.50.
  • These use a 4.50 total premium; the correct total is 3 + 2.50 = 5.50.
Why it matters: Long straddle: add the premiums (5.50) to and subtract them from the common strike: 44.50 and 55.50. Max loss = $550.

Options math under exam time pressure

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FAQ

What is the fastest way to find an options breakeven?

Remember calls up, puts down. For a call, add the premium to the strike. For a put, subtract the premium from the strike. For spreads, apply the net premium to the long option's strike for debit spreads and the short option's strike for credit spreads.

How do I find max gain and max loss on a spread?

For a debit spread, max loss is the net debit and max gain is the difference between the strikes minus the debit. For a credit spread, max gain is the net credit and max loss is the difference between the strikes minus the credit.

How many shares does one option contract cover?

A standard equity option covers 100 shares, so multiply per-share premiums and gains by 100 to get dollar amounts.

Is a straddle bullish or bearish?

Neither. A long straddle profits from a big move in either direction; a short straddle profits if the stock stays near the strike. Both have two breakevens: the strike plus and minus the total premium.

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