Part XII · Strategy atlas · Chapter 12C

Intermediate strategies

Spreads, condors and calendars

Where we are

Chapter 12B covered single options and options paired with shares. The intermediate tier combines options with each other: spreads that cap a loss or a gain, condors and butterflies that bet on a range, calendars that trade one expiry against another, and the long-volatility structures. Most retail options trading lives in this tier. It is also where the two traditions behind this book disagree most sharply, over the iron condor.

What you need first
  • The four primitives and the slope rule for reading any structure (Chapters 5A and 12A).
  • The breakeven win rate of a bet (Chapter 1C).
  • The Greeks (Chapter 5C), the term structure of implied volatility and forward volatility (Chapters 5E and 5G).
  • The novice strategies and the card format (Chapter 12B).

1 · How to read this tier

Each main entry opens with a card, as in Chapter 12B, and its mirror image follows in a short paragraph. Strikes are numbered from lowest to highest, K1<K2<K3<K4K_1 < K_2 < K_3 < K_4, and WW is the width between two adjacent strikes. A structure sold for a net credit collects CC, and one bought for a net debit pays DD, both per share or per index point. The underlying's price at expiry is STS_T, and dollars are points times $100.

As in Chapter 12B, the premiums in the examples are round, illustrative numbers, below what a pricing model gives. The formulas hold at any premium.

2 · Credit spreads

A credit spread sells an option and buys a cheaper one further out of the money, on the same underlying and expiry. The bought option caps the loss, and the net credit is the most the spread can make. Both credit spreads here are vertical spreads.

Bull put spread

Bull put spreadAt a glance
LegsSell 1 put at K2K_2; buy 1 put at a lower strike K1K_1; collect a net credit CC
ViewModerately bullish or neutral; a defined-risk version of the short put
Maximum profitCC, if ST≥K2S_T \ge K_2
Maximum loss(K2−K1)−C(K_2 - K_1) - C, if ST≤K1S_T \le K_1
BreakevenK2−CK_2 - C
Greeks at entryDelta +, gamma −, theta +, vega −

The bull put spread fits moderately rising or flat markets that stay above K2K_2. Because its loss is defined, you can hold it in a margin account without the open-ended exposure of a naked put, whose loss runs all the way to the strike less the premium.

It fails when the underlying drops below K1K_1 and the spread takes its full loss, which traders call a wing break. The "defined risk" frame can lull traders into over-sizing. The loss per spread is bounded, but per dollar of credit collected the loss-to-credit ratio is often 3 to 5 times.

Worked example: A bull put spread on SPX

Step 1: the trade. With SPX at 6,000 and 30 DTE, sell the 5,900 put for $20 and buy the 5,850 put for $10. The net credit is 10 points, or $1,000 per contract.

Step 2: the limits. The maximum risk is 50−10=4050 - 10 = 40 points, or $4,000. Above 5,900 at expiry you keep the $1,000, and below 5,850 you lose the $4,000. The breakeven is 5,900−105{,}900 - 10, which is 5,890, and the loss-to-credit ratio is 4 to 1.

Step 3: the win rate it needs. Suppose each trade either keeps the whole credit or takes the whole loss, a simplification. By Chapter 1C's formula with no cost, the breakeven win rate is p∗=L/(G+L)=4,000/5,000p^* = L/(G + L) = 4{,}000/5{,}000, which is 80%. The spread must win more than 4 times in 5 just to break even.

Bear call spread

Bear call spreadAt a glance
LegsSell 1 call at K1K_1; buy 1 call at a higher strike K2K_2; collect a net credit CC
ViewModerately bearish or neutral; a defined-risk version of the short call
Maximum profitCC, if ST≤K1S_T \le K_1
Maximum loss(K2−K1)−C(K_2 - K_1) - C, if ST≥K2S_T \ge K_2
BreakevenK1+CK_1 + C
Greeks at entryDelta −, gamma −, theta +, vega −

The bear call spread fits moderately falling or flat markets that stay below K1K_1. It is often paired with a bull put spread to form an iron condor.

Worked example: A bear call spread on SPX

With SPX at 6,000 and 30 DTE, sell the 6,100 call for $15 and buy the 6,150 call for $7. The net credit is 8 points, or $800 per contract. The maximum risk is 50−8=4250 - 8 = 42 points, or $4,200, and the breakeven is 6,108.

3 · Neutral structures

Iron condor

Iron condorAt a glance
LegsBuy 1 put at K1K_1, sell 1 put at K2K_2, sell 1 call at K3K_3, buy 1 call at K4K_4, with K2K_2 below the price and K3K_3 above it; collect a net credit CC
ViewThe underlying stays inside the inner strikes until expiry: a pure short-volatility bet
Maximum profitCC, for K2≤ST≤K3K_2 \le S_T \le K_3
Maximum lossW−CW - C, where WW is the width of each wing
BreakevensK2−CK_2 - C and K3+CK_3 + C
Greeks at entryDelta about 0 (balanced), gamma −, theta +, vega −

An iron condor is a bull put spread below the price and a bear call spread above it. The bought options at the outside strikes are its wings. The index can finish beyond only one wing, so the loss is that of one spread less the whole credit. With wings of unequal width, the wider one sets the maximum loss.

The condor fits best when expected realized volatility is meaningfully below implied volatility. It fits worst when the underlying breaks out of the inner strikes.

The CNDR, the Cboe S&P 500 Iron Condor benchmark index, has materially underperformed SPX since its inception. The underperformance is consistent across the available CNDR history, from a backtest start in 1986 to live values since 2007. That strongly suggests the structure is unattractive for most retail implementations, though results vary with transaction-cost assumptions, sizing rules and the comparison period. The PUT index, by contrast, sells systematic at-the-money cash-secured puts rather than condors, and has historically delivered competitive risk-adjusted returns (Bondarenko 2019). The lesson is specifically about the iron condor structure, not about systematic premium selling in general.

The figure draws CNDR against the S&P 500's total return and price return, each indexed to 100 at the end of June 1986 and drawn on a log scale. All three series are synthetic, illustrative stand-ins, not market data, as the caption says. Checkboxes show or hide the two S&P series and the event markers. Readouts give each series' compound annual growth over the 38.5 years and the total-return index's multiple of CNDR at the end of 2024. Turn on the price-return line, and watch where CNDR falls at each marked episode.

CNDR CAGR = 3.61%
SPX TR CAGR = 11.00%
SPX PR CAGR = 9.56%
TR / CNDR ratio = 14.16×
The iron condor index against the index it is written on. CNDR, a systematic SPX iron condor index, against the S&P 500's total return and price return, each indexed to 100 at the end of June 1986 and drawn on a log scale. All three series are synthetic, illustrative stand-ins, not market data. The checkboxes show or hide the two S&P series and the event markers; the readouts give each series' compound annual growth over the 38.5 years and the total-return index's multiple of CNDR at the end of 2024.

The stand-in CNDR line drops hardest at the four marked stress episodes: Black Monday, the global financial crisis, Volmageddon and the COVID crash. It ends far below both S&P lines. Its readouts, 3.61% a year for CNDR against 11.00% for the total-return index and a multiple of 14.16, describe the stand-in series only. The Edge Book reports that the real CNDR returned approximately 690% from 1986 to 2024, against approximately 5,500% for the SPX Total Return index: about 5.5% a year against 11% (Chapters 1D and 10I). The stand-in doubles the real gap, so read the figure for its shape, not its numbers.

The two traditions this book draws on disagree about what to do with this evidence, and both positions stand. This atlas teaches the condor as an intermediate structure for when realized volatility is expected to fall short of implied, sized small. The Edge Book rejects systematic iron condors for retail accounts on the CNDR record. It allows only occasional, discretionary condors at extreme implied volatility, sized small (Chapter 10I). Read Chapter 10I before you trade one.

Worked example: An iron condor on SPX

Step 1: the trade. With SPX at 6,000 and 45 DTE, sell the 5,800/5,750 put spread for a net credit of 8 and the 6,200/6,250 call spread for 7. The total credit is 15 points, or $1,500.

Step 2: the limits. Each wing is 50 points wide, so the maximum risk is 50−15=3550 - 15 = 35 points, or $3,500. The condor wins if SPX settles between 5,800−155{,}800 - 15 and 6,200+156{,}200 + 15, which is between 5,785 and 6,215.

Familiar ground

A condor's probability of profit is a surrogate endpoint. Like a response rate, it is easy to measure and often high. It is not the endpoint that matters. Regimens have raised response rates without extending overall survival, because what happens after the response decides the outcome. Condors win in most months and can still lag the index they are written on, because a few wing breaks decide the long-run result.

Iron butterfly

Iron butterflyAt a glance
LegsSell 1 put and 1 call at a middle strike KK; buy 1 put at K−WK - W and 1 call at K+WK + W as wings; collect a net credit CC
ViewVery confident that the underlying pins the middle strike: a larger credit than a condor's, with a narrower profit zone
Maximum profitCC, at ST=KS_T = K
Maximum lossW−CW - C, beyond either wing
BreakevensK−CK - C and K+CK + C
Greeks at entryDelta about 0 at KK, gamma more negative than an iron condor's, theta higher than an iron condor's, vega −

The iron butterfly is an iron condor whose inner strikes have met at one strike. It is the most aggressive premium-selling structure of the tier. Use it only with a very specific reason to expect pinning at KK. With a hypothetical credit of 35 points on wings 50 points wide around 6,000, it would break even at 5,965 and 6,035 and lose at most 15 points.

Long call butterfly

Long call butterflyAt a glance
LegsBuy 1 call at K1K_1, sell 2 calls at K2K_2, buy 1 call at K3K_3, with K2=(K1+K3)/2K_2 = (K_1 + K_3)/2; pay a net debit DD
ViewThe underlying pins the middle strike, the body: defined risk, cheap to enter, a paper-thin win zone
Maximum profit(K2−K1)−D(K_2 - K_1) - D, at ST=K2S_T = K_2
Maximum lossDD, below K1K_1 or above K3K_3
BreakevensK1+DK_1 + D and K3−DK_3 - D
Greeks at entryDelta about 0 near the body, gamma − and theta +, each peaking at K2K_2, vega −

A butterfly spread is a bull call spread and a bear call spread that share the middle strike. The slope rule of Chapter 12A shows its tent shape: +1 from K1K_1 to K2K_2, then −1 from K2K_2 to K3K_3.

Worked example: A long call butterfly on SPX

Step 1: the trade. With SPX at 6,000 and 30 DTE, buy the 5,950 call for $80, sell two 6,000 calls for $50 each ($100 in all) and buy the 6,050 call for $30. The net cost is 80−100+30=1080 - 100 + 30 = 10 points, a $1,000 debit.

Step 2: the limits. At 6,000 the position pays 50 points, $5,000, so the maximum profit is $4,000. The breakevens are 5,960 and 6,040.

A long put butterfly is the same structure built from puts: buy one put at K1K_1, sell two at K2K_2, buy one at K3K_3. By put-call parity it has the same payoff as the call butterfly, with the same maximum profit, maximum loss and breakevens (Chapter 5F).

4 · Calendar spreads

A calendar spread trades one expiry against another at the same strike. At the near expiry its value is the far option's price, with time still left on it, less the near option's payoff. That value depends on the implied volatility at the time, so a calendar has no closed-form breakeven. You can bound its loss, but you have to price its profit with a model.

Calendar call spread

Calendar call spreadAt a glance
LegsSell 1 call at strike KK with an earlier expiry; buy 1 call at KK with a later expiry; pay a net debit DD
ViewLong forward volatility: the underlying pins near the strike at the near expiry, and forward IV rises
Maximum profitNear ST=KS_T = K at the near expiry; its size depends on the far call's implied volatility then
Maximum lossAbout DD, if the underlying moves far from the strike either way
BreakevensNo closed form: they depend on implied volatility at the near expiry
Greeks at entryDelta about 0 with both legs at the money; gamma − at the strike, turning + far from it; theta +, from the near leg; vega +, long forward volatility

At the strike, the short near-dated call carries more gamma than the long far-dated one, so the calendar is short gamma there. Far from the strike the near call's gamma fades first, and the net gamma turns positive. The calendar collects the near leg's faster time decay and owns the far leg's larger vega.

It fits best when near-term IV is high relative to forward IV, with the term structure in backwardation, and you expect it to revert. It fits worst in trending markets that move far through the strike.

Worked example: A calendar call spread on SPX

Step 1: the trade. With SPX at 6,000, sell the 6,000 call expiring in 7 days for $25 and buy the 6,000 call expiring in 30 days for $40. The net debit is 15 points, or $1,500.

Step 2: the near expiry. If SPX is at 6,000 at the 7-day expiry, the short call expires worthless, a gain of its $25. The long call has 23 days left and is worth perhaps $35, a loss of about $5 from time decay.

Step 3: the result. The P&L is about 25−5=2025 - 5 = 20 points, or $2,000: the long call's $35 less the $15 paid.

A calendar put spread is the same forward-volatility structure built from puts, often chosen when put skew is richer.

Diagonal call spread

Diagonal call spreadAt a glance
LegsBuy 1 call with a later expiry at one strike; sell 1 call with an earlier expiry at a different strike. Typically the long call is far in the money (ITM) and the short call near-dated and out of the money (OTM)
ViewDirectional with income: the long call acts like shares, and the short calls are sold against it
Maximum lossAbout DD, when the long call's strike is at or below the short call's
Greeks at entryDelta +, gamma mixed, theta + from the near leg, vega + (long forward volatility)

The typical form, a deep in-the-money long call with near-dated calls sold against it, is the poor man's covered call: the long call stands in for the shares. Like a calendar, a diagonal spread has no closed-form breakeven.

Worked example: A poor man's covered call on SPX

Step 1: the trade. With SPX at 6,000, buy the 5,700 LEAPS call, 1 year out and deep in the money, for $400. Sell the 6,050 call expiring in 30 days for $25.

Step 2: the rolls. Each month, collect about $25 against the LEAPS cost. At that rate, 16 monthly rolls would bring in $400, the LEAPS's full cost basis. A 1-year LEAPS lives about 12 months, though, so the rolls collect about 12×25=30012 \times 25 = 300 points before it expires.

Step 3: what the premiums pay for. With SPX at 6,000, the LEAPS holds 300 points of intrinsic value and 100 of time value. If SPX stays put, the time value decays to zero while the intrinsic value remains. The short calls then need only cover the 100 points of time value, but any fall in SPX cuts into the 300 as well.

A diagonal put spread is the mirror image on the put side.

5 · Debit spreads

A debit spread buys an option and sells a cheaper one further out of the money. The sold option pays for part of the bought one and caps the gain.

Bull call spread

Bull call spreadAt a glance
LegsBuy 1 call at K1K_1; sell 1 call at a higher strike K2K_2; pay a net debit DD
ViewModerately bullish; cheaper than a long call, giving up the upside above K2K_2
Maximum profit(K2−K1)−D(K_2 - K_1) - D, if ST≥K2S_T \ge K_2
Maximum lossDD, if ST≤K1S_T \le K_1
BreakevenK1+DK_1 + D
Greeks at entryDelta +; gamma and vega + near K1K_1 and − near K2K_2; theta the opposite sign to gamma

The bull call spread is also called a long call spread.

Worked example: A bull call spread on SPX

With SPX at 6,000, buy the 6,000 call for $35 and sell the 6,100 call for $15. The net debit is 20 points, or $2,000. The maximum profit is 100−20=80100 - 20 = 80 points, or $8,000, if SPX is at 6,100 or above at expiry, and the maximum loss is the $2,000. Chapter 12A reads this spread leg by leg and finds the breakeven at 6,020.

A bear put spread, or put debit spread, is the mirror image: buy a put at K2K_2 and sell one at a lower strike K1K_1 for a debit DD. Its maximum profit is (K2−K1)−D(K_2 - K_1) - D, its maximum loss DD, and its breakeven K2−DK_2 - D. It has the same risk and reward structure as the bull call spread.

6 · Directional and volatility structures

Long straddle

Long straddleAt a glance
LegsBuy 1 call and 1 put at the same strike KK, typically at the money (ATM); pay a debit DD
ViewA big move expected, direction unknown: pure long volatility
Maximum profitUnbounded above; K−DK - D below, as ST→0S_T \to 0
Maximum lossDD, at ST=KS_T = K
BreakevensK−DK - D and K+DK + D
Greeks at entryDelta about 0 at KK, gamma very +, theta very −, from paying time decay on two long options, vega very +

The long straddle fits best when realized volatility exceeds the implied volatility you paid at entry. It fits worst in calm regimes.

Worked example: A long straddle on SPX

With SPX at 6,000 and 30 DTE, buy the at-the-money straddle for 80 points: the call for $40 and the put for $40. The total debit is $8,000. The breakevens are 5,920 and 6,080, a move of 80/6,00080/6{,}000, about 1.3%, either way.

A long strangle buys an out-of-the-money put at K1K_1 and an out-of-the-money call at K2K_2. It is cheaper than a straddle but needs a bigger move to break even. For a debit DD, the maximum loss is DD, anywhere between the strikes, and the breakevens are K1−DK_1 - D and K2+DK_2 + D.

An inverse iron butterfly or inverse iron condor reverses every leg of its credit version, making a defined-risk long-volatility bet. You pay a debit DD and profit as the price moves away from the body. The maximum loss is DD, at the body or between the inner strikes, and the maximum profit is W−DW - D, beyond either wing. The breakevens are K±DK \pm D for the butterfly and K2−DK_2 - D and K3+DK_3 + D for the condor.

Collar

CollarAt a glance
LegsOwn 100 shares at cost basis BB; buy 1 protective put at K1K_1 below the price; sell 1 covered call at K2K_2 above it. Often structured at zero net cost
ViewLong stock with both downside protection and capped upside
Maximum profit(K2−B)−N(K_2 - B) - N per share, where NN is the net cost of the two options
Maximum loss(B−K1)+N(B - K_1) + N per share
BreakevenB+NB + N
Greeks at entryDelta + but below +1.0, gamma about 0, theta about 0, vega about 0, as the long put's vega offsets the short call's

A collar is a protective put paid for by a covered call. The "JPM Hedged Equity Fund" collar is this structure on SPX.

Worked example: A zero-cost collar on SPY

Own 100 SPY shares at $580, buy one 560 put for $5 and sell one 600 call for $5, at zero net cost. The upside is capped at $600 and the downside at $560. The most you can make or lose is (600−580)×100(600 - 580) \times 100 and (580−560)×100(580 - 560) \times 100, each $2,000.

In practice

Every structure in this tier holds a defined loss, which makes it easy to size and easy to over-size. Size each from its maximum loss, not its credit or debit, and count the loss-to-credit ratio before you trade a credit spread. Enter a spread as one multi-leg order rather than leg by leg, to avoid legging risk between fills (Chapter 2D). Chapter 12G gives the margin each structure ties up: under Reg-T, a credit spread holds its width less its credit, and a debit spread only its debit.

When it fails

Defined risk bounds the loss of one trade, not of a strategy repeated many times. A credit spread that wins 75% of the time still loses money when each loss is four times each win, since 0.75×1−0.25×4=−0.250.75 \times 1 - 0.25 \times 4 = -0.25 per unit won. Calendars and diagonals fail differently: their profit depends on implied volatility at the near expiry, which you cannot know at entry. A fast move through the strike leaves them near their maximum loss.

Decision rule
  • Choose the structure from Chapter 12A's filter, then check the loss-to-credit ratio against the breakeven win rate it implies.
  • Size from the maximum loss of every spread, condor and butterfly, never from the premium.
  • For iron condors, size very small, and read Chapter 10I first: the Edge Book rejects them as a systematic strategy for retail accounts.
  • Use calendars and diagonals when near-term implied volatility is rich against forward volatility, and not into a trend.
Common mistake: reading "defined risk" as "small risk"

The bull put spread above risks $4,000 to make $1,000. A trader who sizes it as a $1,000 position has taken four times the risk intended, and 10 such spreads on one index lose together in one fall.

Common mistake: counting the rolls, not the life of the option

A diagonal's short calls can be rolled only while the long call lives. Sixteen monthly rolls do not fit inside a 12-month LEAPS, and the premiums must also cover any fall in the long call's intrinsic value.

What to carry forward
  • Credit spreads collect CC, risk (K2−K1)−C(K_2 - K_1) - C, and break even between the strikes, CC from the short strike. Debit spreads pay DD, cap the gain at (K2−K1)−D(K_2 - K_1) - D, and break even DD from the long strike.
  • An iron condor risks W−CW - C to make CC, with breakevens K2−CK_2 - C and K3+CK_3 + C. The CNDR index lagged SPX by a wide margin, and the Edge Book rejects systematic condors (Chapter 10I).
  • Butterflies bet on a pin at the body, for a small debit and a thin win zone.
  • Calendars and diagonals are long forward volatility and short gamma at the strike. Their breakevens need a model.
  • Straddles, strangles and inverse condors buy the move, and lose their debit if it does not come.

7 · Check yourself

Question 1

You sell a 5,950/5,900 SPX put spread for 12 points. What are your maximum profit, maximum loss and breakeven, and what win rate do you need if every trade is a full win or a full loss?

Answer

The maximum profit is 12 points, or $1,200, and the maximum loss 50−12=3850 - 12 = 38 points, or $3,800. The breakeven is 5,950−12=5,9385{,}950 - 12 = 5{,}938. The breakeven win rate is 3,800/(1,200+3,800)=76%3{,}800/(1{,}200 + 3{,}800) = 76\%.

Question 2

An iron condor sells the 5,900/5,850 put spread and the 6,100/6,150 call spread for a total credit of 18 points. Where does it break even, and what is its maximum loss?

Answer

The breakevens are 5,900−18=5,8825{,}900 - 18 = 5{,}882 and 6,100+18=6,1186{,}100 + 18 = 6{,}118. Each wing is 50 wide, so the maximum loss is 50−18=3250 - 18 = 32 points, or $3,200.

Question 3

A long call butterfly buys the 5,900 call, sells two 6,000 calls and buys the 6,100 call for a net debit of 20 points. Find its maximum profit and its breakevens.

Answer

The maximum profit is (6,000−5,900)−20=80(6{,}000 - 5{,}900) - 20 = 80 points, or $8,000, at 6,000. The breakevens are 5,900+20=5,9205{,}900 + 20 = 5{,}920 and 6,100−20=6,0806{,}100 - 20 = 6{,}080.

Question 4

Is a long calendar spread long or short gamma at its strike, and why?

Answer

Short. The sold near-dated option has more gamma at the strike than the bought far-dated one, since at-the-money gamma grows as expiry nears (Chapter 5C). The calendar is long vega, because the far option has more vega.

Question 5

What does the CNDR figure in this chapter show, and what does it not?

Answer

It shows the shape of the result: a condor index that falls hardest in stress episodes and ends far below the S&P 500. Its series are synthetic stand-ins, so its numbers do not describe the real index. The Edge Book puts the real CNDR at about 690% from 1986 to 2024, against about 5,500% for the SPX Total Return index.