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003

Case 003Event-driven and merger arbitrageCore

Orvian Tech will join a major index. Passive funds need to buy 3 crore shares, and the stock trades 20 lakh shares a day. How do you think about the price pressure and the timing of the trade?

1The situation

The index provider announces that Orvian Tech, an IT services company, will join a widely tracked large cap index. The change takes effect at the close of trading ten trading days from now. Funds that track the index must own about 3 crore Orvian shares by that close, roughly Rs 1,500 crore at the current price of Rs 500.

Orvian trades an average of 20 lakh shares a day and its daily price moves have a standard deviation of about 2%. Your fund can buy up to 20% of each day's volume without standing out.

2Your task

How big is the passive demand relative to the market in the stock, what does it do to the price, and how would you time an entry and an exit?

Quick check

How many normal trading days does the passive demand equal?

Worked solution

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

30-second answerThe answer to give first

The passive demand equals about 15 days of normal volume, so it moves the price before the effective date and the edge is in timing, not in the fact of inclusion. A rough impact rule puts the pressure near 8%. A fund can buy about 40 lakh shares over ten days at 20% of volume and sell them into the effective-date close, where demand is deepest. The risk is that everyone else runs the same trade.

Step 1How big is the demand compared with the stock's normal trading?

Convert the order into days of volume first, because that is the unit a trading desk thinks in. Three crore shares against 20 lakh a day is 15 days of normal trading, and index funds want all of it on a single closing price. It is like a wedding caterer who needs fifteen days of a village market's rice on one morning: the rice exists, but not at yesterday's price, and every trader in the market knows the caterer is coming.

Passive demand on one close equals fifteen normal days of trading-10-9-8-7-6-5-4-3-2-1A normal day: 20 lakh sharesthe lime strip is our 20% share, 4 lakh3 croresharesDay 0 close15 normaldays stackedTrading days relative to the effective date
Orvian trades 20 lakh shares on a normal day, and a 20% share of that is 4 lakh; on the effective date index funds need 3 crore shares at one close, as many as fifteen normal days of trading stacked together.
Step 2How much could the price move?

Traders use a rough rule: the price impact of an order is about the stock's daily volatility times the square root of the order in days of volume. Square-root impactA widely used rule of thumb that price impact rises with the square root of order size relative to daily volume, so doubling an order raises impact by about 1.4 times, not 2 times. is an estimate, not a law, but it gives the right order of magnitude. For Orvian, 2% times the square root of 15 is about 7.7%, so a move of several per cent between the announcement and the effective date is the working assumption. Our own 40 lakh shares, two days of volume, cost about 2.8% to buy on the same rule.

Impact grows with the square root of size: 15 days is not 15 times 1 day3%6%9%0481216Order size in days of average volumePrice impactOur 40 lakh: 2.8%Passive 3 crore: about 7.7%impact = 2% x square root of (order / daily volume)
On the square-root rule with 2% daily volatility, buying 40 lakh Orvian shares, two days of volume, moves the price about 2.8%, while the passive demand of 3 crore shares, fifteen days of volume, implies pressure of about 7.7%.
Step 3When do you buy, and when do you sell?

Buy early, before the pressure is priced, at a pace the market can absorb: 20% of 20 lakh for ten days is 40 lakh shares, about Rs 200 crore, or 13.3% of what the passive funds need. Sell into the effective-date close, because that auction is the one moment when a buyer for fifteen days of volume is guaranteed to be there. Selling a day early gives up the auction; holding past the close means owning the stock once the one-off buyer has gone, and prices often drift back after large inclusions.

Close with the risk. Index inclusion is public, so event funds, platforms and quick traders all see it. If the stock jumps most of the expected amount on announcement day, the trade has already been done by others and the remaining edge may not cover costs. The judgement is to measure the move already made against the rough impact estimate, and to size down or pass when little is left.

Where candidates lose it

Candidates say the stock will go up because index funds must buy, and stop. Everyone knows that; the price adjusts on the announcement. The interviewer wants the size in days of volume, the pressure it implies and the timing of exit into the closing auction.

The second miss is scaling impact linearly: fifteen days of volume is not fifteen times the impact of one day. Say the square-root rule, and say it is a rule of thumb.

What the interviewer asks next

  • Orvian's free float is only 30% and the index weights by free float. How does that change the demand?
  • How would you trade an index deletion rather than an inclusion?
  • The stock rises 6% on announcement day. Do you still put the trade on?
← Case 002Tunevi Music adds 10,000 subscribers a month and loses 5% of its base each month, at Rs 120 per subscriber a month. What are the steady-state base and revenue run rate, and how long does it take to get halfway there?Case 004 →Varsana Asset Management runs Rs 5,000 crore at 1.5 and 15, with Rs 60 crore of annual costs. What does the manager earn at gross returns of 0%, 10% and 20%, and at what AUM does it break even in a flat year?

Company names and figures are illustrative.

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