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070

Case 070Market making and trading scenariosHard

A stock joins the Satpura 50 and index funds must buy about Rs 900 crore at the close on the effective date, against average daily trading of Rs 150 crore. A facilitation desk can pre-position or offer the funds a guaranteed close. Size the liquidity problem and the desk's risk, and say what happens if the stock falls 4% after inclusion.

MizuhoHong Kong · 2024MizuhoHong Kong · 2024MizuhoHong Kong · 2024

1The situation

The Satpura 50 index provider has announced that Ramtek Industries will join the index in ten trading days. The index weights its members by free-float market capitalisationThe market value of only the shares available for public trading, leaving out promoter and other locked-in holdings., and with Ramtek's free-float factor of 0.60 its weight will be about 0.6%. Index funds and exchange traded funds tracking the Satpura 50 hold about Rs 1.5 lakh crore, so they must buy about Rs 900 crore of Ramtek, and they will want to buy it at the official close on the effective day, the price the index itself will use.

Ramtek trades about Rs 150 crore a day and closed at Rs 1,000 on the announcement day. Hapsar Securities' facilitation desk can buy stock ahead of the event and sell it to the funds at the close, or offer the funds a guaranteed close: a promise to fill their whole order at the official closing price, whatever the desk pays to source the shares.

2Your task

Size the liquidity problem, set out what the desk earns and risks by pre-positioning Rs 300 crore at 20% of daily volume and offering a guaranteed close, and work out what a 4% fall after inclusion does to the desk, depending on whether it still holds stock.

Quick check

Before working it: the desk buys Rs 30 crore a day for ten days as the stock runs up 8%, then sells it all to the funds at the close. If the stock falls 4% the next day, the desk:

Worked solution

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

30-second answerThe answer to give first

Rs 900 crore is 6 days of normal trading demanded in one closing auction, so the funds need a desk that will source the stock in advance and fill them at the close. Buying Rs 300 crore at 20% of volume as the stock runs up 8% gives an average cost near Rs 1,039 and about Rs 11.7 crore of profit if sold at the Rs 1,080 close. Sold into the close, the desk is untouched by a 4% fall the next day; held through it, the desk loses Rs 12.5 crore and ends about Rs 0.8 crore down.

Step 1How big is the liquidity problem?

Picture every school in a city telling parents to buy the same uniform from one shop on the same afternoon. The shop sells a hundred a day; it cannot sell six hundred in an hour without either raising its price or having stocked up in advance. Ramtek trades Rs 150 crore a day and the funds need Rs 900 crore at one price on one afternoon: 6 days of normal volume. If the closing auction normally trades about a tenth of daily volume, an assumption to check against the exchange's own data, the event is about 60 times a normal close. Buying patiently at 20% of daily volume instead would take the funds 30 trading days and expose them to tracking error against the index the whole time, which is why they want the close.

The demand figure is itself an estimate that depends on the index method. If the provider revises Ramtek's free-float factor from 0.60 to 0.50 before the effective date, its weight and the funds' demand fall in proportion, to about Rs 750 crore. A desk that sizes its inventory to Rs 900 crore of demand and then sees Rs 750 crore arrive is left with stock no index fund needs. Reading the methodology before sizing is part of the trade, not background.

Six days of volume demanded in one auction, after a run-up the desk helped buildPrice, Rs1,0001,0401,080close on the effective day: 1,080-4%: 1,037desk's average cost 1,039Rs crore traded12345678910110Rs 900 croreat one close,on day 10Rs 150 crore a day; desk buys Rs 30 crore (dark)Trading days after the announcement; 10 is the effective day
Over the ten trading days the desk buys Rs 30 crore a day while the stock rises from Rs 1,000 to Rs 1,080, and on the effective day the funds demand Rs 900 crore at the close, six days of normal trading in one auction, before the stock falls 4% to Rs 1,037 the next day.
Step 2What does the desk earn by pre-positioning, and what does it risk?

The desk buys Rs 30 crore a day, 20% of normal volume, for ten days while the stock climbs Rs 8 a day, some of it because buyers like the desk are in the market. It ends with about 28.86 lakh shares at an average of Rs 1,039.49. Sold to the funds at the Rs 1,080 close, that inventory makes about Rs 11.7 crore, a 3.9% edge over cost, and it is the same line that loses if the stock is sold lower. At the funds' close price the order is 83.3 lakh shares; the desk's 28.9 lakh cover about a third, and the other 54.5 lakh must come from sellers in the auction, mostly holders who bought during the run-up and want to sell to the index.

Under a guaranteed close, the funds pay the closing price whatever happens, so the desk's risk is not the close itself; it is any shares it bought earlier at a different price, and any shares it cannot find in the auction. If the auction cannot supply the 54.5 lakh shares, the desk still delivers them and is short the shortfall, buying it back over the following days: a fall then helps it and a further rise hurts. That is why desks charge for a guaranteed close and limit its size to what they believe they can source.

The pricing edge and the inventory risk are the same line-10+1001,0001,0401,080sold at the close: +11.7 crheld into the 4% fall: -0.8 crrun-up fully reverses: -11.4 crbreak-even 1,039Edge3.9% above costCushiona 3.8% fallwipes it out
The desk's Rs 300 crore of stock, bought at an average of Rs 1,039, makes Rs 11.7 crore if sold at the Rs 1,080 close, loses Rs 0.8 crore if held into the 4% fall to Rs 1,037, and loses Rs 11.4 crore if the whole run-up reverses.
Step 3What does a 4% fall after inclusion do to the desk?

It depends entirely on what the desk holds when the fall comes. Stocks often give back part of an inclusion run-up once the forced buyer has bought, because the demand that lifted the price is gone. A desk that delivered its whole inventory into the close is flat and keeps its Rs 11.7 crore; a desk that held its Rs 300 crore past the event loses Rs 12.5 crore on the fall and finishes about Rs 0.8 crore down, because a 4% fall from Rs 1,080 is below its Rs 1,039 cost. The index funds do not mind the fall in the same way: they hold the stock at its index weight, so the fall moves the index and the fund together and creates no tracking error.

The view a facilitation trader would give is narrow. Pre-position a fraction of the demand, sized to the lower of the demand estimates, about Rs 750 crore if the free float is cut, not the headline Rs 900 crore. Plan to be flat at the close, using the auction to sell inventory rather than as a place to discover how much demand really exists. Charge for a guaranteed close in proportion to the share of the order the desk cannot pre-source. And state the limits: the run-up path, the auction's normal size and the fall afterwards are assumptions in this case, and every one of them should be checked against the stock's own history and previous index events before the desk commits capital.

Where candidates lose it

Candidates focus on the pricing edge, the run-up the desk can ride, and forget that the edge and the inventory risk are the same position. The question about a 4% fall is there to see whether you ask what the desk still holds.

The second miss is treating Rs 900 crore as a fact. It is passive assets times an index weight that depends on the free-float factor, and a revision to the method can cut the demand by a sixth after the desk has bought.

What the interviewer asks next

  • The funds ask for a guaranteed close on the whole Rs 900 crore. What would you charge, and how would you think about it?
  • How would your plan change if Ramtek's average daily volume were Rs 40 crore rather than Rs 150 crore?
  • Another desk has already pre-positioned heavily. How would you see that in the order book, and what does it do to the auction?

Asked at Mizuho, Sales and Trading, Hong Kong, 2024 (Wall Street Oasis): As the role is related to facilitation desk, questions are about order book, knowledge on index
Asked at Mizuho, Sales and Trading, Hong Kong, 2024 (Wall Street Oasis): Factors that you consider when analyzing liquidity and order book
Asked at Mizuho, Sales and Trading, Hong Kong, 2024 (Wall Street Oasis): Different index methodology - need to know all of them with examples.

← Case 069An exporter has sold USD 20 million forward at an average of 83.10. Forwards for the same dates are now 85.00, and the board sees a mark-to-market loss. Compute it, and explain why it is not the whole story.Case 071 →After selling calls to a client, your desk must buy 2 lakh shares to hedge delta. Mid is 500.5 and the offers are 20,000 at 501, 40,000 at 502, 60,000 at 503 and 80,000 at 505. What are the average fill and the slippage if you sweep the book, and what else could you do?

Company names and figures are illustrative.

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