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The naked strangle

  • Sell a put below the stock and a call above it, and buy nothing to cap either side.
  • The most income four legs’ worth of risk can produce — from two legs, with no cap at all.

What it is

  • Two legs, one expiry, both sold.
  • A put below the money and a call above it.
  • Nothing is bought. There are no wings and no caps.
  • An iron condor with the protection removed — and the protection was most of the cost.

What you are actually agreeing to

  • You keep both premiums if the stock finishes between the two strikes.
  • Above the call there is no limit to what you can lose.
  • Below the put you are exposed all the way down to zero.
  • Your broker will hold a large amount of your capital against that, and it will change as the stock moves.

The trade, written out

Everything above is the idea. This is the position — the lines you would actually send to a broker.

Order ticket
LegActionQtyExpiryDTEStrikeDeltaPrice
1Sell to open-116 Oct 264590 Put+0.10 (10Δ)$0.41
2Sell to open-116 Oct 2645110 Call-0.16 (16Δ)$0.72
NetCredit1 position16 Oct 2645-0.07$1.14

SELL -1 STRANGLE XYZ 16 OCT 26 90/110 COMBO @ 1.14 CREDIT

Reading it back

  • Two short legs and nothing else.
  • The credit is far larger than a condor’s at the same strikes, because you did not pay for wings.
  • That difference is the price of the caps, and it is worth knowing exactly what it was.
  • The ticket cannot show you a maximum loss — there isn’t one.

The argument

Bull

makes the claim

The wings on a condor are the most expensive insurance in the market and they almost never pay. Take them off and the same range trade collects several times as much. Size it properly and the maths is simply better.

Bear

doubts it

“Size it properly” is doing an enormous amount of work in that sentence. One gap through a strike and you are not down a defined amount, you are down whatever the market decided overnight. There is no number to size against.

Ferret

settles it

Then the test is not whether it collects more — it plainly does. It is what the worst outcome across a long enough history does to an account. That means drawdown, not average return, and it means a period long enough to include a crash.

The shape of it

90 110 spot 100 +114 +0 -886 $ underlying price solid = at expiry · faint = 45, 21, 7 days left

The naked strangle on XYZ at $100 · 25% volatility · 4% rate · 45 days. Priced from the model, not written by hand.

At expiry
Credit taken in$114
Maximum profit$114
Maximum lossunlimited
Breakevens$88.86, $111.14
  • A plateau with no ends. Profitable between the strikes, falling away in both directions and never flattening out.
  • Maximum profit is both credits, and the table shows it.
  • Maximum loss reads “unlimited” — that is the engine reporting no bound, not a formatting choice.
  • Two breakevens, far apart. The range is genuinely wide, which is why the structure is attractive.

One side of this structure has no bound, so the table says unlimited rather than whatever number the edge of the chart happened to reach. That is the honest answer and it is the one that should change how you size it.

Where you actually enter

The chart above is the shape at expiry. It puts the bend right next to the money, which makes the trade look like it is already on the edge. It is not — here is the day you open it.

8% of room 92 110 YOU ENTER HERE stock 100 · P&L $0 +141 +0 -710 $ day one · 45 days left at expiry underlying price

The same structure set up at 16Δ · 45 days · credit $141. The shaded band is the room between the stock and the strike you sold.

The same price, two different days

On day oneAt expiry
Stock at $92 (the strike you sold)$-166$141
Stock unchanged at $100$0$141
  • You enter in the middle, with plenty of room on both sides.
  • The day-one line is much flatter than the expiry shape — early moves cost little.
  • There is no point at which the loss stops growing. That is the whole difference from a condor.
  • The exit is not optional on this structure. It is the only cap there is.

Different ways to set it up

Two dials, and they matter more here than anywhere else on the shelf: how far out the strikes sit, and how long you give the trade.

Same delta, four tenors

7 days 16Δ · $58 97 100 +433 +0 -1,846 21 days 16Δ · $103 95 100 +433 +0 -1,846 45 days 16Δ · $141 92 100 +433 +0 -1,846 90 days 16Δ · $212 90 100 +433 +0 -1,846
DaysShort strikeAway from spotCreditMax lossRisk : reward
797+3.0%$58unlimited
2195+5.0%$103unlimited
4592+8.0%$141unlimited
9090+10.0%$212unlimited
  • A short-dated strangle collects little for a genuinely open-ended risk.
  • A longer one collects far more and holds the exposure for weeks.
  • Neither version has a floor. The tenor changes the income, not the shape of the tail.

Same tenor, three deltas

40Δ $522 · 99 99 100 +684 +0 -992 25Δ $261 · 95 95 100 +684 +0 -992 15Δ $141 · 92 92 100 +684 +0 -992
DeltaShort strikeAway from spotCreditMax lossRisk : reward
40Δ99+1.0%$522unlimited
25Δ95+5.0%$261unlimited
15Δ92+8.0%$141unlimited
  • Selling at 5 delta feels safe and collects very little.
  • Selling at 25 delta collects well and is breached regularly.
  • The risk-to-reward column is blank on this structure, because there is no maximum loss to divide by. That blank is the honest answer.

Every other page on this shelf can tell you what the worst day looks like. This one cannot.

What the Greeks are doing

  • Four questions about the same position, and a fifth that barely applies here.
  • Every structure answers them differently, which is why this site never writes a general page about the Greeks.
Days leftDeltaGammaTheta / dayVegaRho
45-6.5-4.75$+4.12$-14.63$-0.67
21-3.0-3.35$+2.90$-4.82$-0.16
7-0.2-0.39$+0.34$-0.19$-0.00

The position at entry — stock $100 · 25% volatility. Per contract, from the model.

Delta — which way you need the stock to go

  • Near flat at entry — you want it to stay where it is.
  • It moves quickly once either strike comes into view, and there is no long leg to slow it down.

Theta — what time does to you

  • Strongly positive, and larger than any capped structure at the same strikes.
  • That difference is exactly what the wings were costing.

Vega — what a change in fear does to you

  • Short volatility, uncapped.
  • A volatility spike alone can put this position deeply underwater with the stock in the same place.
  • It is the most vega-exposed structure on the shelf.

Gamma — how fast your delta turns against you

  • Negative and unbounded on both sides.
  • There is no long leg anywhere to flatten it out.

Rho — what a change in interest rates does to you

  • The two sides partly offset.
  • One row, and it is the least of this structure’s concerns.

Theta and gamma are one thing

This is the part that decides whether the strategy works, and it is almost never put plainly.

You cannot be paid theta without being short gamma. They are not two features of the trade. They are the rent and the risk on one lease.

The same position, three points in its life

  • Nothing about the position changes.
  • The stock sits still at $100 throughout.
  • Only the days left move.
Days leftDeltaGammaTheta / dayVegaRho
45-6.5-4.75$+4.12$-14.63$-0.67
21-3.0-3.35$+2.90$-4.82$-0.16
7-0.2-0.39$+0.34$-0.19$-0.00

Now move the stock to $91.00

  • Same three dates, same strangle.
  • Now with the stock down near the put you sold — one of two edges, neither of which has a floor.
Days leftDeltaGammaTheta / dayVegaRho
45+39.1-5.47$+3.46$-13.95$+4.70
21+39.9-7.14$+4.65$-8.51$+2.18
7+36.0-11.87$+8.05$-4.71$+0.64
  • Gamma goes from -5.47 to -11.87.
  • Theta goes from $+3.46 a day to $+8.05.
  • Both climb, and neither is available without the other.
  • Delta now moves roughly 2 times as far for every dollar the stock travels.

Which is what DTE actually sets

  • Shorter tenor: more income per day and far more violence per dollar.
  • With no long legs, nothing caps the second half of that.
  • This is the clearest case on the site for why a time exit exists at all.

The trap

The trap is that it works, most of the time, for a long time.

A strategy with no maximum loss cannot be sized from a maximum loss. Most people size it anyway.

  • The win rate on a wide strangle is very high.
  • The average trade is a modest, reliable credit.
  • The distribution has no left tail you can measure — only one you have not experienced yet.
  • Every measure of “how it has gone so far” systematically flatters it.

Why it matters

  • A backtest of a strangle over a quiet period is close to meaningless.
  • The only honest test includes the worst period available, and reports the worst single trade rather than the average one.
  • That is how any strangle result on this site will be published, including if it makes the strategy look bad.

How this shows up in our tests — pending. No result has been published on this structure yet.