Options & Derivatives
Iron Condors and Strangles: Trading a Range
Both structures get paid when a stock goes nowhere. Here is the credit, the defined and undefined loss, and the expected value arithmetic sellers skip.
A trade that wins roughly two times in three for $120 and can lose $380 the rest of the time is
worth (0.68 x $120) - (0.32 x $380) = -$40.00 per cycle. That is the iron condor. It is priced
off a real chain, before commissions. Everything below builds the structure behind those numbers.
The arithmetic persuades once you can see where each figure came from.
The chain, and one standard deviation
Stock at $100, 42 days to expiry, implied volatility 30%. One standard deviation over that window is
$100 x 0.30 x sqrt(42 / 365) = $10.17
so the options are priced for a range of roughly $89.80 to $110.20.
| Strike | Put | Call | Delta |
|---|---|---|---|
| $85 | $0.40 | 0.09 | |
| $90 | $0.95 | 0.17 | |
| $110 | $1.20 | 0.18 | |
| $115 | $0.55 | 0.09 |
Both structures below sell that range back. Both bet it was drawn too wide.
The short strangle
Sell the $90 put at $0.95 and the $110 call at $1.20.
credit = ($0.95 + $1.20) x 100 = $215
lower breakeven = $90 - $2.15 = $87.85
upper breakeven = $110 + $2.15 = $112.15
max profit = $215, anywhere between $90 and $110
max loss downside = ($90 x 100) - $215 = $8,785
max loss upside = open ended
The upside has no arithmetic limit, because stock prices have no upper bound and the model has no opinion about takeover announcements, so brokers respond by demanding substantial margin per strangle and by restricting the permission to high approval levels, which is one of the few places where the industry’s caution and the mathematics agree.
The iron condor, and the two payoffs side by side
Same short strikes. Protection bought $5 further out on each side. Sell the $90 put, buy the $85 put. Sell the $110 call, buy the $115 call.
put spread credit = $0.95 - $0.40 = $0.55
call spread credit = $1.20 - $0.55 = $0.65
total credit = ($0.55 + $0.65) x 100 = $120
max profit = $120
max loss = ($5 x 100) - $120 = $380
lower breakeven = $90 - $1.20 = $88.80
upper breakeven = $110 + $1.20 = $111.20
Only one wing can be breached at expiry. The capital held is $380. That is half the $760 the two spreads would suggest.
| Stock at expiry | Iron condor P/L | Short strangle P/L |
|---|---|---|
| $80.00 | -$380 | -$785 |
| $85.00 | -$380 | -$285 |
| $87.85 | -$380 | $0 |
| $88.80 | $0 | +$120 |
| $90.00 | +$120 | +$215 |
| $100.00 | +$120 | +$215 |
| $110.00 | +$120 | +$215 |
| $111.20 | $0 | +$180 |
| $115.00 | -$380 | -$285 |
| $120.00 | -$380 | -$785 |
The strangle collects $95 more. It hands that back as soon as the stock travels far enough. At $80 it has lost twice what the condor lost. At $70 the strangle is down $1,785 while the condor is still down $380, and the gap keeps widening for as long as the stock keeps falling.
Win rate against expected value
Delta approximates the model implied chance a strike finishes in the money. With the short put at
0.17 and the short call at 0.18, the chance of landing between them is roughly
1 - 0.17 - 0.18 = 65%, and the chance of landing inside the breakevens is slightly better, call
it 68%.
That figure is doing a lot of emotional work in most premium selling pitches. Put it next to the payoff.
expected value = (win rate x average win) - (loss rate x average loss)
If every loss reached the maximum:
(0.68 x $120) - (0.32 x $380) = $81.60 - $121.60 = -$40.00
Losses rarely reach the maximum, because many breaches are shallow and some get managed. Assume an average loss of $250 instead:
(0.68 x $120) - (0.32 x $250) = $81.60 - $80.00 = +$1.60
The honest reading is that this trade sits on zero, and four legs of commission plus four bid-ask spreads put it underneath. I should also flag how weak that $250 estimate is: it is an assumption about your own future behaviour under pressure, and I have no reliable way to calibrate it, nor does anyone selling you a course. Premium selling swaps a high win rate for a poor payoff ratio deliberately, and whatever edge exists comes from the premium being priced above the movement the stock actually delivers, which is the IV rank question in implied volatility explained, and never from the win rate itself.
The strike ladder
The expected move gives the reference point. With one standard deviation at $10.17, short strikes at $90 and $110 sit just outside it, which is where the 0.17 and 0.18 deltas come from.
| Short strikes | Approximate delta | Condor credit | Max loss | Breakeven band |
|---|---|---|---|---|
| $95 and $105 | 0.30 | $215 | $285 | $92.85 to $107.15 |
| $90 and $110 | 0.17 | $120 | $380 | $88.80 to $111.20 |
| $85 and $115 | 0.09 | $60 | $440 | $84.40 to $115.60 |
Each step out raises the win rate. It worsens the payoff ratio in the same movement. The $85 and $115 condor risks $440 to make $60, a ratio above seven to one, and needs to win close to nine times in ten simply to stay level. Very low delta condors are the standard method by which a marginal edge is converted into slow negative expectancy while the trader feels successful almost every week. Widening the wings changes the scale and leaves the shape alone: a $10 wide condor at the same shorts roughly doubles the credit, the maximum loss and the collateral.
Managing the position
Closing early. Taking half the credit, $60 here, frees the capital. It removes the final stretch when gamma is highest. The second $60 reliably takes longer to earn than the first $60 did, and it is earned against a position whose delta has started moving quickly.
Rolling the untested side. If the stock drifts to $106 the call spread is under pressure. The put spread has decayed to nearly nothing. Closing that put spread and reselling it at $95 and $90 collects fresh credit and reduces the net loss if the call side fails, and it also removes your downside cushion, which converts a range trade into a directional one, so you should be honest with yourself about having made that switch.
Taking the loss. A breached condor has a defined maximum, and there is a real argument for letting it run to $380 while a fast market quotes a wide spread to close. That argument collapses the moment early assignment on a short strike becomes plausible, which is live on American-style equity options at any time.
Why short volatility books blow up
Earnings shows the mechanism in miniature. On a stock at $100 with earnings tomorrow and seven days to expiry, the straddle struck at the money prices off 80% implied volatility and costs $8.80, so $880. The next morning, with volatility at 40% and the stock unchanged, it is worth about $4.10, and the seller is up roughly $470 in a day. The same 80% reading implies a move of about 8.8%, and a 12% drop on the release goes straight through a short put strike that looked comfortably distant the previous afternoon. The gap happens between the close and the open, where no stop order can operate, as set out in trading earnings season.
The portfolio version is worse because of correlation. A seller accumulates small credits across many underlyings during calm periods. On the screen those positions look independent. They are not. A volatility event moves everything at once, short strikes are breached across the book in a single session, and implied volatility rises at the same moment, which inflates the cost of closing every one of them. Gamma bends the loss curve upward, and the fastest gamma arrives in the final week when sellers are most likely to be holding on for the last few dollars of credit. Listed volatility products have produced several episodes where one session erased years of accumulated premium, and the structure of that loss is described in volatility and the VIX.
Defined risk caps each position. It does nothing about correlation between positions. Ten condors at $380 of maximum loss each is $3,800 at stake in one bad session, and that is the number that belongs in the sizing calculation from risk management for traders.
Next: vertical spreads explained for the two credit verticals a condor is assembled from, and covered calls for a simpler short premium position with shares standing behind it. The option Greeks quiz covers the gamma behaviour described here.
Frequently asked questions
What is the difference between an iron condor and a short strangle?
A short strangle sells an out of the money put and an out of the money call with nothing behind them, so the loss is open ended on the upside and runs to the strike on the downside. An iron condor is the same two short options with a further out long option bought behind each. The condor collects less premium and converts the open ended risk into a fixed maximum loss.
How do you calculate the breakevens on an iron condor?
Subtract the total credit from the short put strike for the lower breakeven and add it to the short call strike for the upper one. Selling the $90 put and the $110 call for a combined credit of $1.20 gives breakevens of $88.80 and $111.20. The position keeps the full credit anywhere between the two short strikes.
What is the maximum loss on an iron condor?
The width of the wider wing times 100, less the credit received. With $5 wide wings and a $120 credit, the maximum loss is $500 minus $120, so $380. Only one side can be breached at expiry, which is why brokers hold margin against one wing rather than both.
Does a high probability of profit mean the trade is good?
No. A structure that wins about 68 percent of the time for $120 and loses up to $380 the rest of the time has an expected value close to zero before costs. Win rate and expected value are separate measurements, and premium selling deliberately swaps a high win rate for a poor payoff ratio.
When should I close an iron condor?
Many sellers close at half the maximum credit, so $60 on a $120 condor, because the remaining premium takes disproportionately longer to earn while gamma risk keeps rising. Holding to expiry collects the last few dollars during the most dangerous days of the trade. The decision is about what the final week is worth to you.
Why do short volatility strategies blow up?
Because the losses are correlated and arrive together. A seller collects small credits across many positions in calm conditions, then a single volatility event moves every underlying against every short strike at once. Gamma rises as the move develops, so the losses accelerate rather than accumulating in a straight line.