Risk, Return and Performance of Funds

Every conversation about a scheme arrives at the same two questions: what did it return, and what was risked to earn it. This unit supplies the vocabulary for answering both honestly — the ways a return can be stated, the numbers that describe how much a scheme moves about, and the limits SEBI places on how a past record may be shown. It is one of the heavier units, and unusually for this syllabus its material is used daily rather than recalled once: a return quoted without its period, or a chart showing the best three years of a ten-year record, is the ordinary everyday form of mis-selling. The place to start is with the measure itself.

How should a return be measured?

An absolute return is simply how much the value grew, as a percentage. It is honest as far as it goes, and it goes only as far as one period — a 40% absolute return means something quite different over two years than over seven, and quoted without the period it is close to meaningless.

CAGR fixes that by restating the growth as a constant annual rate. Two holdings of unequal length become comparable, which is the whole point. It does not adjust for risk and it is not a promise about the future; it is a way of describing what happened.

For an SIP, neither will do. Each instalment went in on a different date and has been invested for a different length of time, so there is no single period to annualise. XIRR handles exactly this: it finds the rate that reconciles a series of cash flows on their own dates with the final value. If a question involves regular instalments, XIRR is almost always the answer it wants.

What does risk mean in numbers?

Risk in this syllabus mostly means variability — how much the returns move about, not merely whether they were positive.

• Standard deviation measures how widely returns have varied around their average. It captures total volatility, whatever the cause.
• Beta measures how much a scheme moves relative to its market. Above one means it has tended to move more than the market, below one less.
• Sharpe ratio is the return earned above the risk-free rate, divided by standard deviation — return per unit of risk taken.
• Alpha is the return over and above what the scheme's risk exposure would have predicted.

The distinction worth holding is between standard deviation and beta. One asks how much a fund bounces around; the other asks how much of that bouncing is the market's doing. A fund can be volatile with a low beta, if what moves it is not what moves the index.

What the examination tends to ask here

Questions in this area tend to turn on choosing the right measure for the situation described rather than on arithmetic. A single investment held over a stated period points at CAGR; a series of instalments points at XIRR; a bare growth figure with no period attached is usually a distractor rather than an answer. The second recurring shape is the standard-deviation-against-beta distinction and its relatives — Sharpe divides excess return by total volatility, alpha speaks to return beyond what the risk taken would explain, and swapping the two is the common slip. The presentation rules are more likely to appear as a judgement about whether a particular way of showing a record is permitted than as a recitation of clauses, so the Advertisement Code is worth knowing by its shape: accurate, complete, consistent with the scheme documents, no projections, testimonials or rankings, and the standard warning carried without a word altered. On credit risk, what is being tested is generally the mechanism — that a downgrade or default reaches the investor through valuation and provisioning, and so through the NAV, rather than being disclosed separately from it.