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039

Case 039Execution and market microstructureHard

A market maker's quotes update 200 microseconds after the index future moves. Faster traders pick off 30% of its stale quotes over 50 moves a day, each costing 3 ticks of 5 paise on 500 shares. What does latency cost a year, and is a Rs 2 crore co-location upgrade worth it?

1The situation

Tvaritam Systems quotes an invented large-cap stock, 500 shares a side, and prices it off the index future. When the future moves, Tvaritam's quotes update 200 microseconds later. Traders co-located at the exchange react in about 40 microseconds and trade against Tvaritam's old quote whenever they get there first.

The future makes about 50 meaningful moves a day. On 30% of them Tvaritam's stale quote is hit, and each hit is filled about 3 ticks of 5 paise away from the new fair price. A vendor offers co-location and faster hardware for Rs 2 crore, expected to last three years, and estimates it would cut the hit rate to about 10%.

2Your task

Annualise the latency cost, compare it with the upgrade, and say what would change the answer.

Quick check

Roughly what does latency cost Tvaritam a year at 250 trading days?

Worked solution

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

30-second answerThe answer to give first

Latency costs about Rs 2.8 lakh a year, so a Rs 2 crore upgrade does not pay at this scale. Fifteen hits a day at Rs 75 each is Rs 1,125 a day. Cutting hits from 30% to 10% would save about Rs 1.9 lakh a year against about Rs 67 lakh a year of upgrade cost over three years. It needs roughly 36 times today's exposure, across many more products or much larger size, to break even.

Step 1What is a picked-off quote, and what does it cost?

Think of a vegetable seller still charging yesterday's price on a morning when the wholesale price has jumped. A sharp buyer who has seen the new price buys the lot before the seller changes the board. A stale quote is the same: the future has moved, the fair price of the stock has moved with it, and anyone faster than you can trade at your old price. This is adverse selectionTrading mostly with counterparties who know more than you at that moment, so your fills are systematically on the wrong side of the next price move. measured in microseconds. Here each hit is 3 ticks of 5 paise on 500 shares, Rs 75.

The stale window: between the move and your update050100150200250Microseconds after the futures moveyour quote is staleindex future jumpsfaster trader hits your old offer at 40you update at 200Each hit: 3 ticks x 5 paise x 500 shares = Rs 75. 50 moves a day x 30% hit = 15 hits, Rs 1,125 a day.
After the future jumps, a faster trader reaches Tvaritam's old quote at about 40 microseconds while Tvaritam only updates at 200, and each such hit costs Rs 75, about Rs 1,125 a day across 15 hits.
Step 2How big is the cost over a year?

Multiply it out. 50 moves a day times 30% is 15 hits; 15 times Rs 75 is Rs 1,125 a day; 250 trading days make about Rs 2,81,250 a year, Rs 2.81 lakh. Now the upgrade. Rs 2 crore over three years is about Rs 66.7 lakh a year before any running costs. It does not remove pick-offs, it reduces them: from 30% to 10% saves two thirds of the cost, about Rs 1.88 lakh a year. The upgrade costs about 36 times what it saves, and the simple payback is about 107 years.

Rs lakh a year: the saving is a sliver of the upgrade's costLatency cost today2.81Saving if hits fall to 10%1.88Upgrade, Rs 2 crore over 3 years66.67Break-even needs about 36 times today's exposure: more products, larger size, or more moves.
Tvaritam's latency costs about Rs 2.81 lakh a year and the upgrade would save about Rs 1.88 lakh of it, against an upgrade cost of about Rs 66.7 lakh a year, so break-even needs about 36 times today's exposure.
Step 3What would change the answer?

Scale. Latency cost grows with the number of products, the size quoted and the number of moves, while the upgrade is a fixed cost. A firm quoting 50 related stocks off the same future, at larger size, could face 36 times this exposure, and then the same upgrade pays. So the right first question back to the interviewer is how many instruments share the latency. The second change is less visible: a slow market maker protects itself by quoting wider or smaller, which loses volume. If faster updates let Tvaritam quote a tick tighter and win more fills, the gain in spread captured can dwarf the saving on pick-offs.

Then state the limits of the estimate. The 30% hit rate and 3-tick cost are averages; the expensive moves are the large ones, so the cost is concentrated in a few volatile days and a quiet sample understates it. The vendor's 10% is a claim, not a measurement, and the competition will also get faster, so the saving can erode within the three years. A careful answer prices the upgrade on a range, then asks for a trial before paying.

Where candidates lose it

The usual loss is staying qualitative: saying latency matters in market making and the upgrade is probably worth it. The numbers are all in the question, and they say the opposite at this scale.

The second is comparing the full annual latency cost with the upgrade, as if co-location removed every pick-off. The upgrade reduces the hit rate, so only the saving, two thirds of the cost here, belongs in the comparison.

What the interviewer asks next

  • How would you measure the hit rate and the cost per hit from your own fill data?
  • Tvaritam quotes 40 stocks off the same future. Redo the decision.
  • What can a slower market maker do instead of buying speed?
  • How does a minimum resting time or a speed bump on the exchange change this?
← Case 038You are short 1,000 calls struck at 500 on a stock at 500.2, thirty minutes before expiry, hedged with 500 shares. What is your exposure after uncertain exercise, and would you close the position?Case 040 →Daily card-spend data covers 8% of transactions for 60 listed retailers and arrives with a 3-day lag; results come out 45 days after quarter end. How long is the information window, and how precise can the estimate be?

Company names and figures are illustrative.

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