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053

Case 053Execution and market microstructureCore

A Rs 40 stock trades with a 5 paise tick, a one-tick spread and deep queues. If the tick is cut to 1 paise, what happens to the spread, to displayed depth, and to the value of queue priority for a passive strategy?

1The situation

Dvipantar Capital runs a passive strategy that earns the spread by resting limit orders in a Rs 40 stock. The exchange tick is 5 paise, which is 12.5 bps of the price. The stock almost always trades with a one-tick spread: 39.95 bid, 40.00 offered, with about 60,000 shares resting on each side. About 3,000 shares a minute trade at the bid.

The exchange proposes cutting the tick to 1 paise, 2.5 bps. Dvipantar's head of execution asks you to predict what changes before the rule takes effect.

2Your task

Predict the effect on the spread, on displayed depth at each price, and on the value of being first in the queue, with numbers, and say what it means for Dvipantar's passive strategy.

Quick check

After the tick is cut to 1 paise, where does the spread most likely settle?

Worked solution

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

30-second answerThe answer to give first

The spread narrows from 5 paise to about 2, the depth at each price thins sharply, and queue priority loses most of its value. The old tick was binding, so queues were long. With 1 paise prices, the same liquidity spreads across several levels, perhaps 12,000 shares each instead of 60,000 at one price. Anyone can now step ahead of a resting order for 1 paise instead of 5, so Dvipantar earns less per fill and its queue position protects it far less.

Step 1How do you know the 5 paise tick is binding?

Picture a car park that charges only in Rs 50 steps. Everyone pays Rs 50 for the first hour, even those who would have paid Rs 20, and the queue at the barrier is long because nobody can compete on price. A spread that sits at exactly one tick with 60,000 shares waiting on each side tells you the same thing: traders would quote inside 5 paise if the rules let them, so they compete on time in the queue instead. The queue priorityThe rule that among orders at the same price, the one that arrived first is filled first. is the only way to be filled first at 39.95, and at 3,000 shares a minute a newcomer waits about 20 minutes behind the queue.

Step 2What happens to the spread and the depth when the tick is cut?

Traders who were waiting at 39.95 now bid 39.96, 39.97 and so on, and sellers do the same from 40.00 down. The spread falls to the width liquidity providers actually need, which for a liquid stock is probably 1 to 3 paise, not one new tick. Assume the same 60,000 shares within 5 paise of the mid on each side, spread evenly over five prices: the touch now shows about 12,000 shares instead of 60,000. Displayed depth at the best price falls by around four fifths, even though total depth near the mid is unchanged.

The same depth, spread across more prices once the tick is cutBefore: 5 paise tick40.0340.0240.0140.0060,00039.9939.9839.9739.9639.9560,00039.9439.93Touch depth 60,000 a side; spread 5 paiseStepping ahead of the queue costs 5 paiseAfter: 1 paise tick40.0312,00040.0212,00040.0112,00040.0012,00039.9912,00039.9839.9712,00039.9612,00039.9512,00039.9412,00039.9312,000Touch depth 12,000 a side; spread 2 paiseStepping ahead of the queue costs 1 paiseGrey prices are not allowed:nobody can quote between39.95 and 40.00offersbids
With a 5 paise tick the stock shows 60,000 shares at each of 39.95 and 40.00, a 5 paise spread; with a 1 paise tick the same shares spread across five prices of about 12,000 each, the spread narrows to 2 paise and the depth at the touch falls by four fifths.
Step 3Who gains and who loses?

Small takers gain clearly. A 10,000 share market buy used to pay 2.5 paise over the mid, Rs 250; after the change it pays about 1 paise, Rs 100. Large takers gain less, because they now walk through several thin levels: a 30,000 share buy fills at an average of about 39.998, 1.8 paise over the new mid, Rs 540 against Rs 750 before. Passive providers such as Dvipantar lose twice: the half-spread they earn falls from 2.5 paise (6.25 bps) to about 1 paise, and the adverse selection they suffer on each fill does not shrink with it.

5 paise tick1 paise tick (predicted)
Spread5 paise, 12.5 bpsabout 2 paise, 5 bps
Shares at the best bid60,000about 12,000
Cost to step ahead of the queue5 paise1 paise
Half-spread earned per passive fill2.5 paiseabout 1 paise
Cost of a 10,000 share market buy over midRs 250Rs 100
Cost of a 30,000 share market buy over midRs 750Rs 540
The tick cut narrows the spread and cuts small takers' costs by more than half, while the half-spread a passive provider earns and the cost of jumping its queue both fall to about a fifth of their old level.
Step 4Why does queue priority lose its value?

With a 5 paise tick, the only way to get ahead of Dvipantar's order at 39.95 was to bid 40.00, which is the offer: impossible without crossing the spread. A good queue position was a protected asset. With a 1 paise tick, any rival can step in front by bidding 39.96 at a cost of 1 paise, so being early in the queue buys little and fast repricing becomes the competition. The strategy that earned a steady 2.5 paise by queueing now needs to reprice constantly, earns about 1 paise, and faces more informed traders picking off its stale quotes. The honest prediction for Dvipantar is thinner margins and a speed race, not a free improvement.

State the limitation. The 2 paise spread and even spreading of depth are assumptions; the real outcome depends on how many providers compete and how informed the flow is. The direction of each effect is robust; the sizes need the first weeks of data after the change.

Where candidates lose it

The usual answer is that a smaller tick is simply better for everyone because spreads narrow. That ignores the passive side: the market maker earns less per fill, loses the protection of its queue position and faces more pennying.

The second miss is predicting the spread falls to one new tick. The old spread was pinned by the rule; the new one settles where providers cover their adverse selection, usually a few ticks.

What the interviewer asks next

  • What happens to the number of messages and cancellations per trade after the change?
  • How would you measure from data whether the tick was binding before the change?
  • Would a Rs 4,000 stock with the same 5 paise tick be affected in the same way?
← Case 052A signal has an information coefficient of 0.06 at one day, 0.045 at five days and 0.03 at twenty days. Cross-sectional daily volatility is 2% and a full rebalance costs 20 bps round trip. Should you rebalance daily or weekly?Case 054 →Your model of daily stock returns has an out-of-sample R-squared of 0.4%. A senior researcher asks whether that is useless. Convert it to a correlation and to a rough annual Sharpe ratio for a strategy trading it across 300 stocks.

Company names and figures are illustrative.

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