On Wednesday 10 Jun 2026 a Nifty strangle on the 30 Jun expiry, a sold 22,950 put and a sold 23,550 call, collected Rs 389.60 a unit, which is Rs 25,324 a lot. Add a bought put and a bought call 200 points further out and the credit falls to Rs 118.70. The wings took 70% of the premium. That ratio is the whole argument about hedging a selling book: the protection is paid for out of the income it protects.
3By the end you can
- Price a set of wing distances and read the credit left against the maximum loss.
- Compare the gamma, vega and theta of a strangle with and without wings, per lot.
- Name the SEBI margin rules of 1 Oct 2024 that change a selling book's margin.
The idea, plainly
A sold strangle keeps its premium while the index stays between two breakevens (module I18). The risks all arrive together when it does not. I count four.
- Gap. The loss grows with the move, and an index that opens far from the last close skips the prices where an exit could be placed. Short gamma means the loss accelerates (module I09).
- Volatility. A seller is short vega. Implied volatility can jump before the index does, and the position loses on paper first (module I10).
- Margin. The exchange asks for margin on the worst loss it can see. A loss on the position and a rise in the requirement arrive together, which is when a forced exit is most expensive.
- Exit. A far strike may be thin, and the settlement price in a file is not a price anyone offered.
Five tools, and what each one fixes
| Tool | Fixes | Leaves |
|---|---|---|
| Bought wings | Caps the loss, cuts gamma, vega and margin | Costs premium; a thin strike |
| A future | Delta only | Gamma and vega stay |
| A longer expiry option | Part of the vega | No margin offset for the expiring leg on its last day |
| Smaller size | Every risk, in proportion | The shape of the payoff |
| Not selling into an event | The event gap | Every other risk |
Only wings change the shape of the payoff and put a floor under the loss. That is why they get the rest of this module.
The term this section turns on: Wing
The maths: what a wing buys
A sold put at K1 with a bought put at K1 less w, and the same on the call side, has a worst case at either end. Per unit:
Max loss = w minus credit
where credit is the premium taken in on the strangle less the premium paid for the wings. The breakevens move in, to each sold strike less or plus the credit that is left. The trade off is clean. A wider wing leaves more credit, so the breakevens are further apart, and the maximum loss is a larger number. A wing at the sold strike itself has zero width, a loss of nothing, and a credit of nothing.
What the wings cost
The table prices the same strangle with wings at four distances beyond the sold strikes on 10 Jun 2026. Credit is the credit kept, in rupees a unit. Given up is the share of the strangle premium the wings cost. Max loss is in rupees for one lot of 65 units, at expiry, before costs.
| Wings | Credit | Given up | Max loss |
|---|---|---|---|
| 200 points | 118.70 | 70% | 5,284 |
| 400 points | 205.85 | 47% | 12,620 |
| 600 points | 266.20 | 32% | 21,697 |
| 800 points | 307.45 | 21% | 32,016 |
The wings put a floor under the loss, and the credit left is the price
Read one more paragraph, 70 words
Close wings leave a small credit and a small worst case. Far wings leave most of the credit and a worst case several times larger. There is no wing that keeps the income and removes the risk. Each row is a different position, and the reader picks a risk by picking a row, which is a decision this page does not make. Without wings the worst case has no ceiling.
Worked example: the same strangle with and without wings
Per lot, on the 10 Jun 2026 chain of the 30 Jun expiry, 20 days left, future 23,240.10. The first column is the bare strangle. The second adds wings 200 points out. Gamma is units of delta a point, vega is rupees for each volatility point, theta is rupees a day.
| Per lot | Strangle | With wings |
|---|---|---|
| Gamma | −0.060 | −0.007 |
| Vega | −2,627 | −295 |
| Theta | 975 | 100 |
The bare strangle loses most at the edges, and a rise in volatility deepens every loss
| Index move | After five days, Rs a lot | ||
|---|---|---|---|
| IV same | IV +3 | IV +6 | |
| −4% | −21,163 | −24,585 | −28,710 |
| −2% | −2,024 | −7,677 | −13,711 |
| 0% | +5,166 | −1,612 | −8,541 |
| +2% | −1,760 | −7,725 | −14,030 |
| +4% | −20,559 | −24,439 | −29,031 |
Green is profit and red is loss; deeper colour means a larger amount. The outlined cell is the starting point.
With wings every cell is small: the loss stops, and so does most of the gain
| Index move | After five days, Rs a lot | ||
|---|---|---|---|
| IV same | IV +3 | IV +6 | |
| −4% | −2,331 | −2,169 | −2,174 |
| −2% | −198 | −703 | −1,149 |
| 0% | +605 | −233 | −858 |
| +2% | −637 | −1,057 | −1,430 |
| +4% | −2,750 | −2,563 | −2,526 |
Green is profit and red is loss; deeper colour means a larger amount. The outlined cell is the starting point.
Read one more paragraph, 77 words
The wings cut gamma by 88%, vega by 89% and theta by 90%. The theta is the income. The gamma and vega are the risk. The wings remove nearly all of both, so the seller is left with a small premium against a small risk, a different trade and not a safer version of the same one. The grids show it in rupees, after five days, for index moves and a rise in implied volatility.
A calm day against a stress day
The cost of a wing is not constant. On 7 Apr 2025, a stress session with India VIX at 22.79, the same width of strangle on the 24 Apr 2025 expiry, 17 days out, took in Rs 671.00 a unit and the wings 200 points out took 81% of it, leaving Rs 127.30. On 10 Jun 2026, with India VIX at 15.63, the wings took 70%. In a stress session the premium is rich and the wings are richer. Protection is dearest when it is most wanted, so a seller who decides after the spike has already paid for the spike.
Event gaps
Some gaps are scheduled. The Union Budget of 2026 was presented on Sunday 1 Feb, and NSE held a special session. Nifty closed at 24,825.45 against 25,320.65 on Friday 30 Jan, a move of −1.96%, and India VIX went from 13.63 to 15.10. A seller short into that session met a fall in the index and a rise in implied volatility together, on a day outside the usual week. A fast move inside a session can run past the price of a stop order, and a move between sessions skips it for certain. The honest hedge for a known event is one placed before it, which is a wing or a smaller size, and the price of that wing is usually higher the closer the event comes (module I16).
Gaps and the success rate
A strangle that wins most weeks is a statement about frequency and not about size. The model below repeats one sale of the 23,550 call a hundred times, one round a week in the chart's words, each at a fair price: the index at expiry follows a lognormal curve around the forward at the option's own implied volatility. The call wins 74 of the hundred weeks. The losses in the other 26 weeks erase the gains, and the net over the hundred weeks is −Rs 3,402 before costs. The few weeks that lose more than ten times the premium are about 3% of all the losses. A strangle is one such call and one such put, so the shape carries over.
Model, not market data
A high win rate and a zero net: most weeks win, and the rest take it back
Sizing the wing by the rupee loss
The table is easiest to read from the right. Take the maximum loss in rupees a lot, set it against the capital meant to carry the position, and ask how many such losses the account can take (module F29 runs the risk of ruin arithmetic). The credit comes second. A trader who picks the wing by the premium it leaves picks the largest risk the table offers. This is a way to read the table, not a recommendation of a row.
A vega hedge that is not a wing
A bought option in a later expiry also offsets some vega, and it costs less than a close wing because it is a calendar and not a spread of strikes (module I22). Two cautions. Vega does not add across expiries as if they were one number: near expiry volatility moves more than far expiry volatility, so the hedge is partial. And on the last day of the near contract the margin benefit of the pair is gone, as the rules below say.
Margin stress, in three SEBI rules
NSE Clearing sets margin as SPAN plus exposure margin. SPAN is a fixed grid of index and volatility shocks, like the grids above, and the margin follows the worst loss across it (the clearing page is in the sources). A wing caps the worst cell, which is why it lowers the margin. Three rules from the SEBI circular of 1 Oct 2024 matter to a selling book:
- From 1 Feb 2025, option premium that is payable is collected upfront. The wings are bought, so they are paid for before the position is open.
- From 1 Feb 2025, a calendar spread gets no margin benefit on the expiry day for the contract expiring that day, and the expiring and non expiring legs are margined separately. A far month hedge does not offset an expiring short on its last day.
- From 20 Nov 2024, a sold index option that expires that day carries an extra 2% of extreme loss margin.
Two terms to hold on to from 17.21
Read one more paragraph, 45 words
So a far month hedge that helps the margin during the week may not help on the last day. The broker screen shows the margin for a position before an order is placed, and it is the figure to read, not any rule of thumb.
The exit is thin
The file settles every strike, but a settlement price is not an offer. On 10 Jun 2026 the sold 22,950 put traded 972 contracts and the put wing 200 points further out traded 2,202. The sold 23,550 call traded 3,286 and its wing 2,877. Contracts, not units, are the count of volume. A position closed on a bad day meets the bid ask spread of strikes that may then have few bids (module I06). STT on selling the strangle at the settled prices is about Rs 38 a lot at 0.15% of premium; the bought wings pay none unless they are exercised.
The common mistake
The claim: The strangle wins most weeks, so the wings only cut my profit.
The wings do cut the income, by 70% at the closest distance. They also turn a loss that has no ceiling into one of 5,284 a lot. The model above shows what a win rate hides: a call that wins 74 weeks in a hundred and nets −Rs 3,402. SEBI's Aug 2026 study found that 87.7% of individual F&O traders made a net loss in FY26, counted by trader and not by trade, so it does not rate any one structure. The short answers are on the success rate page and How to hedge an option selling position.
Key takeaways
- Wings 200 points out gave up 70% of the strangle premium.
- They cut gamma by 88% and vega by 89%, per lot.
- Max loss is the wing width less the credit that is left.
- Protection costs most on a stress day: 81% against 70%.
- A high win rate can sit beside a zero net.
- No calendar spread benefit on expiry day for the expiring leg.
Where this section sits in module 17.21
Before you trade. Derivatives trading carries a high risk of loss. SEBI's study "Profitability of Individual Traders in the Equity Derivatives Segment (FY25 to FY26)" (August 2026) found that 87.7% of individual traders in equity F&O made net losses in FY26, with aggregate net losses of Rs 91,685 crore. Read the SEBI study