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071

Case 071Index funds, ETFs and passiveCore

Shantam Mutual Fund's low volatility index fund backtested at 15.1% a year against 13.2% for the parent index, with lower volatility, but in three live years it lags by 1.8% a year and holds 38% in consumer staples. Is the factor broken, or is this what the strategy looks like?

1The situation

Shantam Mutual Fund launched a low volatility index fund three years ago. The index picks the least volatile stocks from a broad parent index and weights them by the inverse of their volatility. The launch presentation showed a ten-year backtest: 15.1% a year against 13.2% for the parent, with a yearly standard deviation of 10.2% against 15.8%.

Live, the fund has returned 18.5% a year against 20.3% for the parent, a lag of 1.8 points a year, in three years when the parent rose 24%, 20% and 17%. The latest factsheet shows 38% of the fund in consumer staples, against about 30% on average through the backtest. The product head wants to know whether the index should be changed, the fund merged, or left alone.

2Your task

Is the factor broken, is the live record consistent with the backtest, and what, if anything, should change?

Quick check

In which kind of year should a low volatility index be expected to lag its parent?

Worked solution

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

30-second answerThe answer to give first

The factor is not broken: the live lag is what the backtest itself predicts for strong markets. In the backtest's four years when the parent rose 20% or more, the index lagged by 3.8 points a year on average; the three live years were all such years and the lag was 1.8. The backtest's whole edge came from two down years. The real question is the 38% staples weight, which the index rules should cap.

Step 1What did the backtest actually show?

A cautious driver reaches the destination later on an empty motorway and earlier in a storm. Over many trips the average speed can still be higher, because the storms cost the fast driver far more than the clear days cost the cautious one. A low volatility index wins over a cycle by losing less in bad years, and it pays for that by lagging in strong ones. Shantam's backtest says exactly this: the index was ahead in only 5 of the ten years. In the two years the parent fell, it beat the parent by 10.5 points on average; in the four years the parent rose 20% or more, it lagged by 3.8 points on average. Its downside captureThe average return of a fund in the years its benchmark fell, divided by the benchmark’s average return in those years. Below 100 per cent means the fund fell less. was about 9%: in the parent's two down years it fell about a tenth as far.

Excess return over the parent index, by year: backtest and live, percentage pointsBacktest, 10 yearsLive, 3 years-6+6+12-3+22%Y1-4+28%Y2+9-8%Y3-6+35%Y4+3+10%Y5+4+5%Y6+12-15%Y7+0+18%Y8-2+25%Y9+6+12%Y10-3.2+24%L1-2.0+20%L2-0.2+17%L3average +1.9average -1.8Parent:Parent index return in red where the index rose 20% or more: every such year, backtest or live, the low volatility index lagged.
Across the ten backtest years and the three live years, Shantam's low volatility index lagged its parent in every year the parent rose 20% or more, and the live lag of 1.8 points a year is milder than the 3.8 point average lag the backtest showed in such years.
Step 2Is the live record consistent with it?

Put the three live years into the backtest's own pattern. The parent rose 20.3% a year, which is stronger than any three-year stretch in the backtest. The backtest's strong years lagged by 3.8 points; the live years lagged by 1.8. The fund has done slightly better in strong markets than its own backtest, so the live record is consistent with the strategy, not evidence against it. The longest run of years without beating the parent in the backtest was 2; three is longer, but three strong years in a row is also rarer than the backtest contained. Nothing in the live data tests the claim that matters, which is behaviour in a fall, because there has not been one.

MeasureBacktest, 10 yearsLive, 3 years
Parent index, a year13.2%20.3%
Low volatility index, a year15.1%18.5%
Excess, a year+1.9-1.8
Excess in years the parent rose 20%+-3.8-1.8
Years the parent fell20
Consumer staples weightabout 30%38%
Measured on the years that resemble them, the three live years lag by 1.8 points against a backtest lag of 3.8 in strong years, and the live period contains none of the down years that produced the backtest's 1.9 point average edge.
Step 3So what is the real problem?

The 38% in consumer staples. A volatility screen with no sector limit crowds into whichever sector has been calm lately, and calm is not the same as safe: staples that trade at high multiples can fall hard when rates rise or growth slows, and that fall would not be in the backtest if the sector was never this expensive during it. The factor is fine; the construction has let one sector become two fifths of the fund, and that is a bet on staples, not on low volatility. Check the index methodology for a sector cap and a single-stock cap; many factor indices cap sectors somewhere between a quarter and a third, but confirm this index's rules. If there is no cap, propose one at the next index review, and show investors the fund measured against a sector-neutral low volatility version so they can see how much of the return is the factor and how much is the sector.

Two honest warnings belong in the answer. First, a backtest of Rs 100 growing to Rs 393 against Rs 315 over ten years rests on two down years; remove them and the strategy simply lags. Second, no live record of three up years can confirm the strategy, and none can refute it; the test arrives with the next fall. Neither merging nor changing the index is justified by a lag the backtest itself predicts. What investors need is a factsheet that says plainly: this fund is expected to lag in strong markets and is judged over a full cycle.

Where candidates lose it

Candidates compare 15.1% with the live record, call the gap a failure, and recommend a fix. The backtest's average hid a pattern of lagging in strong years and winning in weak ones, and the live years are all strong. Judging the strategy on the years where it is designed to lag is the mistake.

The opposite miss is defending the fund entirely. The 38% staples weight is a construction flaw the factor does not excuse, and a candidate who does not raise it has not read the portfolio.

What the interviewer asks next

  • How many live years would you need before a lag of 1.8 points a year was evidence against the strategy?
  • The index provider offers a sector-capped version of the same index. How would you decide whether to switch, and what would switching cost investors?
  • A distributor asks for a one-line description of the fund for a retail investor. What should it say?
← Case 070Ritvik Sabharwal holds 70% of his Rs 2 crore net worth in his employer's listed shares, bought at an average Rs 180 against a market price of Rs 1,050. Plan a three-year diversification that balances tax on gains against concentration risk.Case 072 →In a two-hour case on Meghmalhar Business Parks, a listed office REIT, 35% of leases expire in two years with in-place rents 18% below market, and the weighted lease expiry is 4.2 years. Estimate the rent reversion upside and the vacancy risk, and decide whether the units are fairly priced at a 7% distribution yield.

Company names and figures are illustrative.

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