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021

Case 021Option strategies and trade ideasHard

In a ten-minute group exercise, pitch a trade on two steel makers: one has options at 28% implied against 35% realised, the other 40% implied against 30% realised. Vega is Rs 12,000 and Rs 9,000 a lot. Build a vega-neutral trade and say what would make it lose.

MSMorgan StanleyTokyo · 2025

1The situation

Your group of three has ten minutes to pitch one trade to the desk head. The data sheet covers two listed steel makers. Lohagad Steel's three-month at-the-money options trade at 28% implied volatility, while the stock has realised 35% over the last three months. Kavoor Castings' options trade at 40% implied against 30% realised.

Vega is Rs 12,000 per volatility point per lot for Lohagad and Rs 9,000 for Kavoor. Options will be delta hedged daily. Both stocks move with steel prices, and Kavoor reports results in five weeks.

2Your task

Build a trade that buys the cheap volatility and sells the rich one with no net vega, size it, show what it makes if the implieds move to realised, and say clearly what would make it lose. Give it in the shape you would present to the desk head.

Quick check

Before sizing: to make the trade vega neutral, how many Kavoor lots do you sell for every three Lohagad lots you buy?

Worked solution

Try it on paper, then open one step at a time.

30-second answerThe answer to give first

Buy delta-hedged Lohagad options and sell delta-hedged Kavoor options in a ratio of 3 to 4: 30 lots against 40, Rs 3.6 lakh of vega a point each way, so the book has no net vega. If both implieds move to realised, Lohagad gains 7 points and Kavoor's short gains 10, about Rs 61.2 lakh. It loses if volatility rises in proportion across both names, or if Kavoor's results bring the jump its options are pricing.

Step 1What is the view, in one sentence?

Two shops sell the same umbrella, one for less than it has been worth in recent weather, the other for more. You buy from the first and sell to the second, and you do not need to know whether it will rain. Lohagad's options price 28% volatility on a stock that has been moving at 35%, and Kavoor's price 40% on a stock moving at 30%, so the trade buys Lohagad volatility and sells Kavoor volatility and takes no view on which way either stock goes. In a group exercise, say that sentence first and let one person own it; the desk head scores whether the group can state the view before it starts on the numbers. The gap that matters is between implied volatilityThe volatility that, put into an option pricing model, gives the option its market price. It is what the option buyer pays for; realised volatility is what the stock actually delivers. and what each stock has been delivering.

Implied against realised: one stock's options are cheap, the other's are richLohagad Steel28%implied35%realised7 points cheap: buyKavoor Castings40%implied30%realised10 points rich: sell
Lohagad's options price 28% volatility on a stock that has realised 35%, 7 points cheap, and Kavoor's price 40% on a stock that has realised 30%, 10 points rich, so the trade buys the first and sells the second.
Step 2How do you size it so the net vega is zero?

Size on rupees of vega, not on lots. Three Lohagad lots carry 3 times Rs 12,000, Rs 36,000 a point, and four Kavoor lots carry 4 times Rs 9,000, also Rs 36,000, so the trade is built in blocks of 3 bought against 4 sold; ten blocks is 30 Lohagad lots bought and 40 Kavoor lots sold, Rs 3.6 lakh a point on each side. A move of the same number of points in both implieds then leaves the book flat, and what is left is the gap between them, which is the view. Both legs are delta hedged every day so that the stock direction does not decide the result.

Three lots bought for every four sold: the vega legs cancel, the view remains0+Rs 3.6 lakh per pointbuy 30 Lohagad lots x 12,000-Rs 3.6 lakh per pointsell 40 Kavoor lots x 9,000Net vega 0: 3 x 12,000 = 4 x 9,000 = 36,000 per point per block
Buying 30 Lohagad lots adds Rs 3.6 lakh of vega a point and selling 40 Kavoor lots removes the same Rs 3.6 lakh, so a parallel move in both implieds leaves the book flat while the cheap-against-rich view stays on.
Step 3What does it make, and what makes it lose?
ScenarioLohagad implied, pointsKavoor implied, pointsP&L, Rs lakh
Implieds move to realised+7.0-10.0+61.2
Both implieds up 5 points+5.0+5.00.0
Both implieds up 20% of their level+5.6+8.0-8.6
Kavoor event: its implied up 10, Lohagad flat+0.0+10.0-36.0
The trade makes Rs 61.2 lakh if both implieds move to realised and nothing if both rise 5 points, but loses Rs 8.64 lakh if both rise 20% of their level and Rs 36 lakh if a Kavoor event lifts its implied 10 points alone.

Read the table from top to bottom. If implieds move to realised, the long Lohagad leg gains 7 points times Rs 3.6 lakh, Rs 25.2 lakh, and the short Kavoor leg gains 10 points times Rs 3.6 lakh, Rs 36 lakh, Rs 61.2 lakh in all; a parallel 5 point rise costs nothing, which is what vega neutral buys. But volatility in a sector sell-off tends to rise in proportion, not in equal points: a 20% rise takes Lohagad from 28 to 33.6 and Kavoor from 40 to 48, and the short leg loses more than the long leg gains, Rs 8.64 lakh net. The largest risk is the one the data sheet hints at: Kavoor reports in five weeks, and its 40% implied may be pricing that event rather than overpricing calm. If results bring a jump, the short Kavoor leg loses on its implied and on the gap in the stock, which daily delta hedging cannot catch.

Step 4How would you close the pitch?

Close the way a desk head wants to hear it: the view, the trade, the size, the kill condition. Buy cheap Lohagad volatility, sell rich Kavoor volatility, 3 lots to 4, Rs 3.6 lakh of vega a side; target the 7 and 10 point gaps closing; cut the trade if Kavoor's implied rises 5 points on no news, because that says the market knows something about the results. Two things to concede before being asked: realised volatility is backward looking, so three months at 35% does not promise the next three; and the two legs are short gamma and long gamma in different names, so a large move in Kavoor alone hurts twice, on vega and on gamma. A cleaner version of the idea would use Kavoor options that expire before the results, if they exist, so that the event is out of the trade.

Where candidates lose it

Groups size the trade one lot for one lot, which leaves Rs 3,000 a point of net long vega per pair and turns a relative value idea into a bet that volatility rises. Neutrality is in rupees of vega, so the ratio is 3 to 4.

The second loss is pitching the 10 point Kavoor gap as free money without asking why it exists. Results in five weeks are the obvious reason, and the candidate who names that, and shows the Rs 36 lakh it could cost, is the one the desk head remembers.

What the interviewer asks next

  • Size the trade so that it is neutral to a 20% proportional rise in both implieds instead of a parallel one. What ratio does that give?
  • Lohagad's realised volatility drops to 25% over the next month while implieds stay put. What happens to the long leg's daily P&L?
  • How would you hedge the steel price factor that drives both stocks?
  • The desk head says the trade is just short Kavoor results. How do you answer?

Asked at Morgan Stanley, Sales and Trading, Tokyo, 2025 (Wall Street Oasis): group interview over zoom with two other candidates, a few behavioral questions and one group questions to pitch a trade idea

← Case 020The index is at 22,000, the one-month future at 22,100 and the two-month future at 22,300, with one month of carry worth 0.47%. Which leg is mispriced, what calendar spread follows, and what can go wrong before expiry?Case 022 →On a Rs 1,000 stock, compare a covered call, a protective put and a long straddle over three equally likely outcomes of 850, 1,000 and 1,150. Which makes more money on average, which has the more volatile P&L, and where does each come from?

Company names and figures are illustrative.

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