Straddles, Strangles, Condors and Butterflies

Buying movement: the straddle and the strangle

A long straddle is a call and a put at the same strike, so the position profits from movement in either direction and loses the whole debit to decay if the stock finishes at the strike. On a $100 stock with a $4.20 call and a $3.60 put, the debit is $7.80 and the break-evens are $107.80 and $92.20 — a required move of 7.8% before the position is whole. A long strangle is the same idea with the strikes moved out of the money: buy a $110 call and a $90 put, pay less, and need more. The trade-off between the two is therefore the one quantity that matters — the movement required — and the market’s own estimate of that quantity is the expected move from O8, which is derived from implied volatility. So a straddle purchase is not “I think it will move”; it is “I think it will move more than the band that is priced”, which is a comparison rather than a hunch, and the number to compute before the trade is the expected move against the debit. The practical problem with long straddles is that the required move is often large relative to the stock’s ordinary behaviour. A 7.8% move inside a month sounds modest until it is compared with the same stock’s typical monthly range, and the position also pays two spreads, two thetas and a full vega exposure. That is why the structure is used for a specific, dated view — an event whose outcome is genuinely uncertain and whose pricing has not already absorbed a large move — rather than as a general way to be long volatility. The strangle trade-off is the same problem seen from the other end: moving the strikes out reduces the cost and raises the bar, and cheap strangles are cheap because the market does not expect the stock to travel that far. One structural point is worth carrying into the rest of the lesson. A straddle is symmetric in construction and asymmetric in outcome, because the upside is unlimited and the downside is capped at zero — a stock can double for a 100% gain in the position but can only fall the whole way to zero. That asymmetry makes long movement slightly cheaper in theory than a symmetric view of volatility would suggest, and it is one reason a crash and a melt-up do not pay the same amount on the same straddle. Long movement, two ways — Straddle: $100 call $4.20 + $100 put $3.60: Debit $7.80, break-evens $92.20 and $107.80 ← · Strangle: $110 call + $90 put: Cheaper, and needs a larger move to pay · What is really being compared: The debit against the expected move implied by volatility · How it fails: The stock drifts and the decay takes the whole debit The comparison to run before any long-volatility trade is the debit against the market’s expected move. If the structure costs more than the band, the position is not a volatility view — it is a bet that the market has mispriced the band.

Selling movement: the condor, the butterfly and what the tail costs

A short iron condor is two credit spreads — a call spread sold above the market and a put spread below — so the position keeps its credit if the stock finishes between the short strikes and loses the strike width less the credit if it finishes beyond either long strike. In the worked case the credit is $2.60 against a $5 width, so the maximum loss is $240 a contract, the full credit is kept anywhere between $95 and $105 — a 5% range — and the position breaks even at $92.40 and $107.60, against the straddle’s requirement of a 7.8% move. The two structures are exact opposites, and the collection of $2.60 is the market paying for the variance the straddle holder is buying — the variance risk premium that O12 introduced, made concrete. A butterfly is the same bet with the wings closer: a $100/$105/$110 put-call combination that costs little, pays a defined maximum at the middle strike and expires worthless outside the wings, which is why it is described as a bet on a precise finishing price rather than on a range. The reason the comparison matters is the shape of the two payoffs. The condor’s best day is a premium kept in full and its worst day is a bounded $240, which looks tame — and it is, per contract, in the same way that a short put’s worst case looks tame until it is multiplied. The relevant number is not the maximum loss but the *ratio* of credit to width and the frequency of losing outcomes, and beyond that the correlated version of the trade: a book of iron condors across one index, or across names that move together, is one position on the market’s realised volatility, and the day the market moves is the day every one of them loses together. That is the identical structural warning the wheel gets, expressed in a structure whose tail is bounded. Two management rules follow from the geometry. The first is that a short-volatility position should be sized from the tail rather than from the credit: the credit is small and frequent, the loss is larger and rare, and the arithmetic of ruin applies to the loss. The second is that the position has a natural repair price — the short strike — and a decision to make there that belongs in the plan rather than in the moment: close, roll, or accept assignment or the full width loss. The most expensive version of the trade is the one that is defended indefinitely, because each roll collects a little credit and increases the exposure that the eventual move will meet. • Condor: two credit spreads, credit $2.60 on a $5 width, maximum loss $240 a contract, full credit between $95 and $105 and break-evens at $92.40 and $107.60. • Butterfly: a bet on a precise finishing price, with a defined maximum at the middle strike. • The credit is the variance risk premium: the mirror of the straddle holder’s debit. • Correlated condors are one position on realised volatility, and they lose together on the day the market moves. • Size from the tail, and decide at the short strike in advance whether you close, roll or accept. The specific failure of every short-volatility structure is that its equity curve flatters it for months. Small credits arrive steadily, drawdowns are brief, and the risk-adjusted statistics look excellent — until the move that was priced as unlikely arrives and gives back many months of credit at once. That is not a market failure or bad luck; it is the shape of a short-gamma payoff, and it is why the honest way to evaluate these structures is over a full cycle rather than a good quarter.

Ratio spreads and risk reversals

Two families of multi-leg structures sit either side of the balanced spreads, and they are the ones that get traders into trouble because their risk profile is not symmetric in the way the picture suggests. They are worth understanding precisely because they look like refinements of the structures already covered. A **ratio spread** buys one option and sells more than one of a further-out strike — buying one call at eighty and selling two at ninety, for instance. The attraction is that the extra short leg frequently finances the long one, so the position can be entered for little or no cost. What it has actually done is cap the upside at the short strike and then leave the position net short the underlying above it, which means an unbounded loss on a large move. The picture — two tent shapes — makes it look like a spread with a range, and it is a short position with a financed call in front of it. The same structure with puts, a put ratio spread, carries the mirror risk on a large decline, and it is the version that has produced the memorable losses because the downside gap is usually faster. The **risk reversal** is the other family: sell one option to buy the other side. Selling a put to buy a call is bullish with a floor-shaped risk — you collect premium on the side you think will not happen and pay for exposure on the side you think will. Its attraction is that it is nearly free when skew is favourable, since puts usually carry higher implied volatility than calls of the same distance from the spot. That same skew is the warning: the market prices the downside put more highly because it is more likely to pay, so the structure is selling the expensive option and buying the cheap one, which looks like an edge and is the market’s own risk assessment being expressed. What unites both families — and the short condor and the short strangle already covered — is that their attractive entry economics come from being net short volatility in the tail. The assessment to run on any of them is the same three questions, in order: what is the maximum loss if the underlying moves a fixed large amount, is that loss a known number or unbounded, and does the margin requirement change if it happens? A structure whose loss is unbounded, whose worst case is many multiples of the credit received, and whose requirement rises with the position is one that must be sized from the tail rather than from the premium. The honest use of these structures is as deliberately small, defined-in-advance positions whose worst case is written down before the trade — not as a way to get exposure cheaply. The cheapness is the price of the short tail, and it is a fair price for the risk sold, which is exactly why it cannot also be a bargain. • A ratio spread is a credit plus a net short position beyond the outer strike. • Skew makes risk reversals cheap precisely because they sell the more valuable side. • The test for any structure: maximum loss, bounded or unbounded, and how margin moves. • Cheap entry on a short-vol structure is the price of the tail, not a discount. The most reliable way to see what a multi-leg structure really is: add the legs into a net position by strike and expiry, then ask what the account holds if the underlying moves twenty percent in a day. The diagrams drawn by platforms rarely show that column.

Sources

• Straddles, strangles, condors and butterflies as volatility positionsMcMillan, “Options as a Strategic Investment”
• Iron condors, defined risk and the payoff of short volatilityNatenberg, “Option Volatility and Pricing”
• The variance risk premium and why short-volatility collecting is compensatedCarr & Wu, “Variance Risk Premia” (Review of Financial Studies)