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What You May Expect From The Sensex

Souvik Mitra
3 min readJan 2, 2023

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If you said “copious riches”, I’ve news for you. I’m afraid it isn’t great news.

I started investing in Indian mutual funds at the sprightly, young age of 41. It’s one thing to learn the markets through a rich tapestry of personal investing mistakes, but that kind of thing may have been somewhat difficult given my late start.

I needed to figure out what to expect. And bake that into my goal planning. So, if the past is any guidance for the future, I’ll stand a good chance of meeting my goals.

The twenty-year data set

From 1991 to 2020, I took the Sensex close for each year. This isn’t very representative as the stock market operates on a daily basis, but in any case, that’s the data I set out to analyze.

You’ll notice a few things:

There’s a lot of up and down in each of the three annualised growth rate lines. But with increasing time, the highest highs and the lowest lows come closer. For example, the 3-year annualised growth line, in dotted grey, seems to be on a roller coaster while the 10-year line, in solid yellow, is about to sleep at the wheel while the car cruises.

But they all return an average of 11% or thereabouts.

Who wants to be average?

Nobody.

The problem with average is eating bacon, lettuce and tomato in some combination & expecting to taste a BLT sandwich. A better question to ask may be what will a given, specific investment in the Sensex return in 3, 5, or 10 years.

If you asked that question, you’ll have to compute a measure called standard deviation. If you did that, here’s what it looks like. In English:

For 3-year annualised returns, there’s a 70% chance that a specific investment will fetch between -1.8% to 25%. For 5-year returns, this is 1% to 21%, & for 10-year returns, 6.5% to 16.5%.

By investing in the Sensex for at least 5 years, you’ve given yourself a first-class chance of not losing money. By investing for 10 years, you’re virtually sure to beat fixed deposits.

Can you just give me a number?

Yes, I can.

The way to do this is calculating expectations. And yes, that’s a mathematical measure.

In our case, we’ll compute the probability & impact of negative and positive returns, for each of the three lines, & add it up to calculate a total returns expectation.

Expected 3-year return: 12%

Expected 5-year return: 11.44%

Expected 10-year return: 11.44%

In stark contrast to owning stocks, the Sensex, which is a weighted basket of 30 stocks on Bombay Stock Exchange, confers no incremental advantage to investors beyond 5 years.

But you don’t have to choose stocks. You don’t have to time the market. Hold for 5 years, & you’ve virtually guaranteed yourself 11.5% annualised returns.

And that leads us back to ourselves. Is a consistent 11.5% enough for each one of us individually is something we’ll each have to answer looking within.

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Souvik Mitra

I write on investments in Indian mutual funds, using data analysis and visualization. If I'm bored of this, I might write something more sensible.