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022

Case 022Rebalancing, implementation and costsHard

A small cap fund holds 40 stocks equally, with a median daily traded value of Rs 8 crore. Its rule is to be able to exit any holding in 10 days at 20% of volume. What is its capacity, and what should it do at Rs 800 crore?

1The situation

Bhoomija Emerging Companies Fund holds 40 small cap stocks in equal weights. The median holding trades Rs 8 crore a day; the least liquid trades Rs 3 crore and the most liquid Rs 40 crore. The fund's liquidity rule says it must be able to sell any whole position within 10 trading days without exceeding 20% of that stock's daily volume.

Strong returns and inflows have taken the fund to Rs 800 crore. The chief investment officer asks what the fund's capacity really is and what to do now.

2Your task

What is the fund's capacity under its rule, how far over it is the fund, and what should it do?

Quick check

On the median stock, how much can the fund hold in one name under its rule?

Worked solution

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

30-second answerThe answer to give first

The headline capacity is Rs 640 crore, 40 names at Rs 16 crore each on the median volume, but the least liquid names set the real limit, and at equal weights that is only Rs 240 crore. At Rs 800 crore each position is Rs 20 crore, which 27 of the 40 names cannot meet. The fund should stop taking lump sums, move to weights set by liquidity, which hold about Rs 795 crore, and replace the least liquid names.

Step 1What does the rule allow in one holding?

Turn the rule into rupees. Selling at 20% of a Rs 8 crore daily volume means Rs 1.6 crore a day, and ten days of that is Rs 16 crore, the most the fund can hold in the median name. The rule exists because a fund that owns more than it can sell in a fortnight turns a wave of redemptions into a fire sale, with the remaining investors paying the price impact. A shop that stocks more than it can sell before the season ends has the same problem.

Step 2Why is Rs 640 crore the wrong answer?

Rs 640 crore assumes all forty stocks trade like the median one. They do not. In an equal-weight fund every position is the same size, so the position the fund can hold is set by its least liquid stock: Rs 3 crore a day allows Rs 6 crore, and forty positions of Rs 6 crore is a capacity of Rs 240 crore. Even at Rs 640 crore, 17 names would already be over their limits. The average hides the tail, and the rule is about the tail.

Capacity per holding under the 10-day, 20% of volume rule, Rs crore020406080Rs 20 crore needed per name at Rs 800 croreRs 16 crore (dark line): the median nameleast liquid: Rs 6 crore40 holdings, least liquid to most liquid27 names below Rs 20 crore13 names that can hold Rs 20 crore
Under the ten-day, 20%-of-volume rule Bhoomija's holdings can each take between Rs 6 crore and Rs 80 crore; at Rs 800 crore an equal-weight position is Rs 20 crore, which 27 of the 40 names cannot absorb.
Step 3How bad is it at Rs 800 crore?

Each position is Rs 20 crore. 27 of the 40 holdings allow less than that, and the least liquid would take 33 trading days to sell at 20% of volume, more than six weeks. In a bad month, redemptions would be met by selling the liquid names first, leaving the remaining investors with a portfolio even more concentrated in the illiquid ones. That is how small cap funds get into trouble: not from one bad stock, but from a liquidity mismatch built quietly by inflows.

DesignHow position sizes are setCapacity, Rs crore
Headline, median volume40 x Rs 16 crore640
Equal weight, honest40 x the least liquid limit of Rs 6 crore240
Liquidity weightedeach name up to its own limit, no name above 5%795
Fund todayequal weight800
The same forty stocks support Rs 240 crore at equal weights, Rs 640 crore on the median shortcut and about Rs 795 crore with weights set by liquidity and capped at 5%; Bhoomija holds Rs 800 crore.
How much the fund can hold depends on how it is weightedEqual weight, set by the least liquidRs 240 crEvery name at the median volumeRs 640 crWeights set by liquidity, 5% capRs 795 crfund today Rs 800 crore
Bhoomija's forty stocks can carry Rs 240 crore at equal weights, Rs 640 crore if every name traded like the median, and about Rs 795 crore with liquidity-set weights capped at 5%, all below the fund's Rs 800 crore.
Step 4What should the fund do?

Four steps, in order. First, stop the problem growing: pause lump sum inflows while keeping regular instalments, which is how Indian small cap funds have usually managed it. Second, size positions by liquidity, not equally: each name up to its own ten-day limit and no name above 5%, which supports about Rs 795 crore. Third, replace the least liquid names over time with similar businesses that trade more, trimming where prices allow rather than dumping. Fourth, report the liquidity position to the board every month, including days to sell a quarter and half of the portfolio; Indian small cap funds now publish liquidity stress tests under an industry framework, so confirm its current format. Say the limit: daily volume itself falls in a sell-off, so a ten-day rule measured in calm markets is optimistic.

Where candidates lose it

Candidates multiply the median volume out, get Rs 640 crore, and stop. In an equal-weight fund the least liquid name sets every position size, so the median answer overstates capacity by more than two and a half times.

The second miss is recommending a quick sale of the illiquid names. Selling them fast is exactly the price impact the rule exists to avoid; the fix is to stop inflows and re-weight over time.

What the interviewer asks next

  • How would the capacity change if daily volumes halved in a market sell-off?
  • Should the fund count its cash and liquid large caps towards meeting redemptions?
  • How would you explain a soft close to distributors who want to keep selling the fund?
← Case 021A mid cap fund with Rs 600 crore of stocks hedged by selling Rs 330 crore of large cap index futures. Mid caps fell 18% while the large cap index fell 6%. Work out the loss, the hedge gain and the net result, and explain why the hedge failed.Case 023 →A real estate debt sleeve holds EUR 600 million of loans on Northern European offices, Southern European retail and Gulf logistics. Stress interest rates up 100 basis points and cap rates up 75. Which loans breach a 70% loan to value or a 1.5 times interest cover covenant?

Company names and figures are illustrative.

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