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091

Case 091Performance review and attributionCore

A focused fund of 30 stocks returned 18% a year against 15% for a diversified peer over five years, but three stocks contributed 60% of the excess. Is this repeatable skill or concentrated luck, and how would you tell?

1The situation

Ekagra Mutual Fund runs a focused equity fund that holds 30 stocks. Over five years it returned 18% a year against 15% for a diversified peer fund with a similar mandate, and its tracking error against that peer was about 6% a year. A distribution platform is deciding whether to put it on its recommended list.

The fund's attribution report shows that three stocks, a lender, a hospital chain and a software exporter, supplied 1.8 of the 3 points of excess return a year, 60% of it. Twelve other stocks added 1.5 points between them, and the remaining fifteen cost 0.3 points. The lender and the hospital chain were among the fund's largest positions from the start, at 6% and 5.5%; the software exporter started at 3% and grew as it rose.

2Your task

Decide whether the record shows repeatable skill or concentrated luck, show the numbers that bear on it, and say what you would examine before listing the fund.

Quick check

Take the top three stocks out. What did the other 27 stocks earn against the peer's 15%?

Worked solution

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

30-second answerThe answer to give first

The record is consistent with skill but does not prove it, and the three stocks are the reason it cannot yet. Without them the fund still made about 16.2%, 1.2 points ahead. But 3 points of excess at 6% tracking error is an information ratio of 0.5, which over five years is a t-statistic near 1.1; a stable edge that size takes about 16 years to separate from luck. Judge it on process: were the winners sized by conviction before they ran, and does the pattern repeat across rolling periods.

Step 1What does it mean that three stocks did most of the work?

Less than it sounds, and more than the sales team would like. A cricket side that wins a series on three big innings has still won; the question is whether the batsmen were picked for those innings or happened to be at the crease. In any concentrated portfolio a few names will dominate the excess return, because stock returns are skewed: most stocks do a little, a few do a lot. So 60% from three names is what a 30-stock fund looks like whether the manager is skilled or lucky. The number that separates the two is not the concentration of the result but what the manager did before the result arrived.

Three stocks out of thirty supply most of the 3 points of excess return15%16%17%18%15%Peer15% a year+0.8Stock Aa lender+0.6Stock Ba hospital chain+0.4Stock Ca software exporter+1.5Next 12 contributors-0.315 laggards18%Fund18% a yeartop three: 1.8 of 3 points, 60%Points of return a year, averaged over five years. Red dashed: the 15 stocks that lost to the peer.
Of the fund's 3 points of excess return a year, the lender, the hospital chain and the software exporter supplied 1.8, the next twelve stocks 1.5 and the fifteen laggards cost 0.3, so most of the edge sits in three decisions.
Step 2What does the fund look like without the three?

Take them out and see what is left. Without the top three the fund made about 16.2% a year, still 1.2 points ahead of the peer, and Rs 100 grew to about Rs 212 against Rs 201 for the peer and Rs 229 for the full fund. The hit rate was 50%: fifteen of thirty stocks beat the peer. That is an ordinary hit rate; the edge came from the winners being bigger than the losers, which is what a good process produces and also what one lucky run produces. The residual 1.2 points from 27 stocks is itself small enough to be noise.

StockStarting weightContribution, points a yearWhat it suggests
Stock A, a lender6.0%+0.8Sized as a top position before it ran
Stock B, a hospital chain5.5%+0.6Sized as a top position before it ran
Stock C, a software exporter3.0%+0.4An average position that happened to rise
Next 12 contributors+1.5Broad, modest, the base of the record
15 laggards-0.3Half the book lost to the peer, mildly
Excess over the peer+3.0
Two of the three big winners were sized at the top of the book from the start, which is evidence of conviction acted on, while the third grew into a large position as it rose.
Step 3How long a record would it take to call this skill?

Longer than five years. Divide the excess by the tracking error: 3 points over 6% is an information ratioExcess return over a benchmark divided by the tracking error of that excess. It measures how much outperformance a manager gets per unit of the risk taken against the benchmark. of 0.5, good but not rare. Over five years that gives a t-statistic of about 0.5 x the square root of 5, near 1.1; a statistician would want about 2, which at this information ratio takes about 16 years. No platform waits that long, which is why the decision has to lean on process evidence rather than the return alone.

The relationship
t≈IR×N=3%6%×5≈1.1t \approx IR \times \sqrt{N} = \frac{3\%}{6\%} \times \sqrt{5} \approx 1.1
IRinformation ratio, excess return over tracking error
Nyears of record, 5
What it says in wordsThe confidence that an excess return is real grows with the information ratio and with the square root of the number of years.
Step 4What would you examine before listing it?

Five things, each of which can be checked from documents the fund house already has. First, the sizing: were the lender and the hospital chain 6% and 5.5% positions because the manager wrote a thesis and sized it, or because an earlier run had already made them large. The dated investment notes answer that. Second, repetition: split the five years into rolling three-year windows and see whether the fund is ahead in most of them or in one burst. Third, style: if the three winners share a factor, say all mid-cap financials and healthcare in a period those sectors led, the excess may be exposure the platform could buy more cheaply. Fourth, the sells: a skilled concentrated manager also shows up in what he sold before it fell. Fifth, capacity: the fund's size against the liquidity of its 30 names, because a strategy that worked at Rs 2,000 crore may not at Rs 10,000 crore.

Close with a view. List it, labelled as a concentrated fund whose returns will be lumpy, if the investment notes show the big positions were sized on conviction before they ran and the rolling windows show it ahead in most periods. Do not list it on the five-year number alone, and never on the 18%. The limit of the analysis: attribution tells you where the return came from, not why, and the same three stocks could be sold tomorrow; what the platform is buying is the process that chose them.

Where candidates lose it

Candidates answer that 60% from three stocks means luck, or that 18% against 15% means skill, and stop. Both are reflexes. A concentrated fund will always show a few big contributors, and five years of a 0.5 information ratio is not statistically distinguishable from nothing.

The second miss is not looking at what the manager did before the returns arrived. Starting weights and dated notes are the only evidence of intent; ending weights and returns are evidence of outcome.

What the interviewer asks next

  • The three stocks are now 24% of the fund between them. What does that do to the risk, and should the manager trim?
  • How would you compare this fund with a diversified fund that beat the peer by 1 point a year with 2% tracking error?
  • What would you want to see in the fund's record of sells?
  • If the fund's tracking error had been 12% instead of 6%, how would your answer change?
← Case 090A fund house wants a fund of funds across Indian equity, international equity, short-term debt, gold and a listed REIT, with no sleeve above 40%, for a moderate-risk investor. Propose weights, then assess an underlying equity fund that returned 13.1% against a 12.4% benchmark with a beta of 1.25 while cash paid 6.5%.Case 092 →A floating rate fund (quarterly resets, spread duration 2.5, rate duration 0.3) and a short duration fund (duration 2.4) both yield 7.4%. If rates rise 100 basis points and credit spreads widen 50, what does each lose, and which risk did the floater investor keep?

Company names and figures are illustrative.

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