Case 092Option strategies and trade ideasCore
A family office expects the bank index, at 48,000, to stay between 47,000 and 49,000 for two weeks. Compare selling the 46,500 put and 49,500 call for 180 points with adding 46,000 and 50,000 wings for a net 120, at 45,000, 48,000 and 51,500.
1The situation
Kumbhalgarh Family Office thinks the Satpura Bank index, now at 48,000, will stay between 47,000 and 49,000 over the next two weeks and wants to earn premium from that view. The contract is 15 units a lot, and the office is thinking of 20 lots.
Two structures are on the table. A short strangle: sell the 46,500 put and the 49,500 call for 180 points in total. Or an iron condor: the same two sales, plus buying the 46,000 put and the 50,000 call as wings, for a net credit of 120 points. You are the derivatives adviser preparing the comparison.
2Your task
What does each structure return at 45,000, 48,000 and 51,500, and which would you present to the family office?
Quick check
The index rallies to 51,500. Roughly what does each structure lose per lot?
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
Present the iron condor: it gives up 60 points of credit to turn an unlimited loss into a maximum of 380 points. At 48,000 the strangle makes 180 and the condor 120. At 45,000 the strangle loses 1,320 and the condor 380; at 51,500 the strangle loses 1,820 and the condor again 380. For a family office the defined loss, about Rs 1.14 lakh at most on 20 lots, is worth more than the extra 60 points.
Step 1What is each structure really selling?
Both structures sell insurance against a big move: the family office collects premium and pays out if the index leaves the range. The difference is whether the office buys some insurance back. A shopkeeper who sells extended warranties but buys a reinsurance policy for the worst claims keeps less of each sale but cannot be wiped out by one bad batch. The strangle sells the tails outright; the iron condorA short strangle with a further out put and call bought as protection, so the maximum loss on each side is the gap between strikes less the credit received. sells them and buys back the far tails, capping the loss at the gap between strikes less the credit. Each wing is 500 points wide, and the two wings together cost 60 points.
Step 2What does each make or lose at the three levels?
At 48,000 every option expires worthless and each structure keeps its credit: 180 for the strangle, 120 for the condor. At 45,000 the short 46,500 put is 1,500 in the money; the strangle loses 1,500 less 180, minus 1,320. The condor's long 46,000 put is worth 1,000 there and pays back most of it: 120 less 1,500 plus 1,000, minus 380. At 51,500 the strangle's short call is 2,000 in the money, minus 1,820; the condor's long 50,000 call is worth 1,500, minus 380 again. The condor's loss is the same on both sides past the wings, because it can never exceed the 500-point width less the 120 credit.
| Index at expiry | Strangle, points | Condor, points | Strangle, Rs on 20 lots | Condor, Rs on 20 lots |
|---|---|---|---|---|
| 45,000 | -1,320 | -380 | -396,000 | -114,000 |
| 48,000 | +180 | +120 | +54,000 | +36,000 |
| 51,500 | -1,820 | -380 | -546,000 | -114,000 |
Step 3Which would you present, and how would you say it?
The strangle's breakevens are 46,320.0 and 49,680.0; the condor's are 46,380.0 and 49,620.0, only 60 points narrower on each side. So the condor gives up a third of the credit and a sliver of the range to remove the outcome that ends relationships: a gap of several per cent on a policy announcement or a bank-specific shock. Bank indices have a habit of making exactly those moves around rate decisions and results. The condor also needs much less margin, because the exchange can see its maximum loss, which frees the office's capital. Say the cost plainly too: the condor's reward of 120 against a risk of 380 means it needs to be right well over three times in four to come out ahead over many trades, and the client should hear that before signing.
The limit of either structure is that it is a view on a range, not a hedge of anything the family office owns. If the office also holds bank shares, the short put side adds to its existing exposure in a fall, and that should be part of the conversation.
Where candidates lose it
The common loss is comparing only the credits, 180 against 120, and picking the strangle because it pays more. The comparison that matters is the loss at the edges, unlimited against 380 points.
The second is computing the condor's loss at 45,000 without the long put, giving minus 1,380. The long 46,000 put pays 1,000 there and must be counted.
What the interviewer asks next
- How would you move the wings if the family office could tolerate a maximum loss of 250 points?
- The index is at 49,400 three days before expiry. How would you adjust the condor?
- Why might implied volatility on the wings be higher than on the short strikes, and how does that change the trade?
Company names and figures are illustrative.
