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005

Case 005Index funds, ETFs and passiveWarm up

An investor will put Rs 25,000 a month into a Nifty 50 index fund and has three to choose from, each with a different expense ratio, tracking difference and fund size. Which does she pick?

1The situation

Mitali Sengupta, 31, wants to start a monthly investment of Rs 25,000 in a Nifty 50 index fund and hold it for twenty years. She has narrowed it to three invented funds that track the same index.

Fund X: expense ratio 0.20%, one-year tracking difference 0.28%, AUM Rs 2,400 crore. Fund Y: expense ratio 0.35%, tracking difference 0.40%, AUM Rs 600 crore. Fund Z: expense ratio 0.10%, tracking difference 0.33%, AUM Rs 90 crore. Tracking difference is how far the fund's return fell short of the index's total return over the year.

2Your task

Which fund does she choose, and what would you check before being sure?

Quick check

Which number tells Mitali what the fund actually cost her last year?

Worked solution

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

30-second answerThe answer to give first

Fund X, because its tracking difference, the cost she actually bears, is the lowest at 0.28%. Fund Z has the cheapest fee but lost 0.33% to the index, 0.23% more than its fee, a sign that its small size costs it in cash drag and trading. Over twenty years the gap between X and Z is about Rs 1.3 lakh on the same contributions.

Step 1Why is the expense ratio not the whole cost?

Think of two taxis with the same meter rate. One takes the direct road; the other gets lost and runs up the fare. The rate card is the same; the bill is not. The expense ratio is the rate card, and the tracking differenceThe index return minus the fund return over a period. It is the total cost of owning the fund, fee included, measured against the index it copies. is the bill. An index fund also loses return by holding cash from new inflows before it is invested, paying brokerage when it buys, and receiving dividends later than the index assumes. Those leaks sit outside the fee but come out of the investor's pocket.

The fee you see against what the fund actually lost to the index, per cent a year0.1%0.2%0.3%0.4%0.20%0.28%Fund XAUM Rs 2,400 cr0.35%0.40%Fund YAUM Rs 600 cr0.10%0.33%Fund ZAUM Rs 90 crexpense ratio (the fee shown)tracking difference (what you lost)
Fund Z charges the lowest fee at 0.10% but lost 0.33% to the index, while Fund X charges 0.20% and lost only 0.28%, so the fund with the cheapest fee was not the cheapest to own.
Step 2Why would the smallest fund leak the most?

Fund Z manages Rs 90 crore. In a small fund, each day's inflows and outflows are a large share of the assets, so cash sits idle more often and trading costs are a bigger share of the fund. Fund Z's hidden cost, tracking difference minus fee, is 0.23%, against 0.08% for Fund X and 0.05% for Fund Y. A low fee also invites a question: new funds sometimes start cheap to gather assets, and the fee can rise later within the regulatory limits.

Step 3Does a few hundredths of a per cent really matter?

Over twenty years of monthly investing, yes. Assume the index returns 12% a year, purely for illustration. Rs 25,000 a month for twenty years grows to about Rs 2.22 crore in Fund X, Rs 2.21 crore in Fund Z and Rs 2.19 crore in Fund Y. The difference between X and Z is about Rs 1.3 lakh, and between X and Y about Rs 3.2 lakh, from contributions of Rs 60 lakh that are identical in every case.

FundExpense ratioTracking differenceHidden costValue after 20 years, Rs lakh
Fund X0.20%0.28%0.08%222.3
Fund Y0.35%0.40%0.05%219.1
Fund Z0.10%0.33%0.23%221.0
At an assumed 12% index return, Rs 25,000 a month for twenty years ends about Rs 1.3 lakh higher in Fund X than in Fund Z and about Rs 3.2 lakh higher than in Fund Y, because each fund's tracking difference compounds.
Step 4What would you check before being sure?

One year is a small sample. Look at tracking difference over three and five years if the funds have it, and at how much it varies from year to year, called tracking error. A fund with a steady 0.28% is easier to rely on than one that swings between 0.1% and 0.6%. Check that the comparison uses the index's total return, with dividends, and the direct plan of each fund. If Fund Z grows and its tracking difference falls toward its fee, the answer could change in a year or two.

Where candidates lose it

Most candidates pick Fund Z because 0.10% is the lowest number on the page. The interviewer has built the case so that the cheapest fee is not the cheapest fund, and wants to hear tracking difference named as the real cost.

The second miss is confusing tracking difference with tracking error. The first is the average shortfall; the second is how much that shortfall moves around.

What the interviewer asks next

  • Fund X's tracking difference is 0.28% but its tracking error is 0.40%. What does that tell you?
  • Would an ETF on the same index be cheaper for a monthly investor? What costs appear that a fund does not have?
  • How can a fund have a tracking difference below its expense ratio?
← Case 004A 34-year-old has Rs 1 crore after tax from selling ESOPs, needs Rs 30 lakh for a home down payment in two years, has no emergency fund and a steady salary. How would you invest the money?Case 006 →A quick-service restaurant chain spends Rs 2.5 crore to open a store that earns Rs 4 crore of revenue at an 18% store-level margin. What is the payback, and how many stores a year can Rs 150 crore of operating cash flow fund?

Company names and figures are illustrative.

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