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036

Case 036Fund selection and due diligenceHard

A small cap fund grew from Rs 5,000 crore to Rs 30,000 crore in four years while its yearly alpha fell from 4.1% to 0.8%, and its median holding trades Rs 22 crore a day. Is it still worth holding, and at what size does the strategy stop working?

1The situation

Tarkshya Mutual Fund's small cap fund was a quiet top-quartile performer when it managed Rs 5,000 crore. Strong returns brought heavy inflows, and four years later it manages Rs 30,000 crore with the same manager and the same process. Its alpha against the small cap index, net of fees, has fallen each year: 4.1%, 3.0%, 2.1%, 1.4% and 0.8%, measured at average sizes of Rs 5,000, 9,000, 14,500, 21,000 and 30,000 crore.

It holds about 120 stocks. The median position is 0.7% of the fund, and the median holding trades about Rs 22 crore a day on the exchanges. Its tracking error against the index is about 5%. A wealth platform asks you whether to keep it on its recommended list.

2Your task

Is the alpha decline about size, how big can this strategy be before it stops working, and what would you tell the platform about holding it?

Quick check

At Rs 30,000 crore, how long would it take to sell the median holding at 20% of its daily volume?

Worked solution

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

30-second answerThe answer to give first

The alpha decline tracks size closely, about 1.3 points lost for every doubling of AUM, and on liquidity the strategy's comfortable capacity is roughly Rs 9,400 to 12,600 crore. At Rs 30,000 crore the median holding takes about 48 trading days to sell, so the manager can no longer act on his ideas quickly. With 0.8% alpha against 5% tracking error, tell the platform to stop recommending fresh money and to look for a smaller fund.

Step 1Why would size eat alpha in a small cap fund?

A good street food stall can serve a hundred customers with the same quality; ask it to serve ten thousand and it has to change its recipe. A small cap manager's edge is finding mispriced stocks that trade thinly, and the same thinness that creates the mispricing limits how much money can use it. As the fund grows, each idea must be a larger position, which takes longer to buy and sell and moves the price against the fund on the way in and out. The manager either holds more stocks, diluting his best ideas, or moves up to bigger, better-researched companies where the edge is smaller.

The numbers fit that story closely. Fitting alpha against the logarithm of AUM gives a line that loses about 1.28 points of alpha for each doubling of size, and it reaches zero around Rs 45,000 crore. Five points do not prove cause, but a steady decline that follows size this closely, with the same manager and process, is the classic capacity signature.

In a small cap strategy, size eats alphacapacity band15 to 20 days to exit1%2%3%4%0%010,00020,00030,000Average AUM in the year, Rs crore4.1%3.0%2.1%1.4%0.8%Rs 30,000 crore todayfitted: about -1.3 pointsper doubling of AUM
Tarkshya's alpha fell from 4.1% at Rs 5,000 crore to 0.8% at Rs 30,000 crore, about 1.3 points for every doubling of size, and the fund is now two and a half to three times the Rs 9,400 to 12,600 crore band where its median holding could still be sold in 15 to 20 days.
Step 2How big can the strategy be before it stops working?

Estimate capacity from liquidity, not from returns, because returns are noisy and liquidity is measurable. A common desk rule is to trade no more than about 20% of a stock's daily volume, here Rs 4.4 crore a day for the median holding. If the manager wants to be able to exit a median position within 15 trading days, that position can be at most Rs 66 crore, and at 0.7% a position the fund can be at most about Rs 9,400 crore. Allowing 20 days gives about Rs 12,600 crore.

Days to sell the median holding without moving its price8 daysRs 5,000 cr14 daysRs 9,000 cr23 daysRs 14,500 cr33 daysRs 21,000 cr48 daysRs 30,000 cr15-day limitMedian position 0.7% of the fund; sells at most 20% of a Rs 22 crore day, Rs 4.4 crore a day
At 20% of a Rs 22 crore daily volume, the median position took about 8 trading days to sell at Rs 5,000 crore but about 48 days at Rs 30,000 crore, far beyond a 15-day limit.

At Rs 30,000 crore the median holding takes about 48 trading days to sell, so a change of view takes two months to act on. In a falling market, when every small cap fund is selling at once, it would take longer still. That is the hidden risk of a large small cap fund: its stated holdings look liquid only until everyone needs to sell.

Step 3Is it still worth holding, and what do you tell the platform?

Alpha of 0.8% against 5% tracking error is an information ratio of about 0.16, statistically indistinguishable from zero. Before blaming size alone, check one alternative: if small caps rallied broadly, many active funds' alpha may have shrunk at the same time, so compare Tarkshya with smaller peers over the same years. If smaller peers kept their alpha, size is the cause. The recommendation to the platform is to stop directing new money to the fund, keep existing investors informed rather than forcing a switch that triggers exit loads and capital gains tax, and favour funds still inside their capacity, or a low-cost small cap index fund. An AMC that soft-closes a fund by limiting lump-sum inflows is showing the discipline you want to see.

Where candidates lose it

The common loss is blaming the manager for losing his touch. The same manager running the same process with five times the money is exactly the setting in which skill stops showing up, and the interviewer wants you to name capacity.

The second miss is measuring capacity from returns alone. Five noisy alpha numbers cannot pin down a size limit; days to exit a position, from position size and traded volume, can.

What the interviewer asks next

  • The fund raises its holdings to 200 stocks to absorb flows. What happens to the alpha and to the tracking error?
  • How would you estimate capacity for a large cap fund the same way?
  • Should the AMC soft-close the fund, and who in the AMC would argue against it?
← Case 035A 60-year-old retires with Rs 1.5 crore earning 8.5% and withdraws Rs 90,000 a month, rising 6% a year. How long does the money last, and how much sooner does it run out if the first two years return minus 15% and minus 5%?Case 037 →A 41-year-old client wants to move Rs 20 lakh of his Rs 60 lakh portfolio into a technology sector fund that returned 45% last year. What do you recommend, and what are the risks and benefits of that recommendation?

Company names and figures are illustrative.

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