A balanced advantage fund returned 11.4% a year against 12.9% for its benchmark, but with 8% volatility against 11%. Which is the better risk-adjusted result, and what would you tell a client who only sees the lower return?

The fund's risk-adjusted result is slightly better: a Sharpe ratio of about 0.61 against 0.58 for the benchmark. It earned 4.9 points over cash while taking 8 points of volatility; the benchmark earned 6.4 points for 11. Scaled to the benchmark's risk, the fund would have returned about 13.2%. The margin is small over three years, so tell the client the fund did its job, a smoother ride for a little less return, not that it beat the market.

Two drivers reach the same city. One arrives ten minutes earlier by speeding through every signal; the other drives steadily and arrives a little later. You would not call the first the better driver without asking what risk he ran. A fund that deliberately holds less equity should be judged on how much return it earned for the risk it took, not on return alone. The standard measure is the Sharpe ratioReturn above cash divided by volatility. It says how many points of extra return each point of risk bought.: take the cash rate off the return, then divide by volatility.

For the fund: 11.4 minus 6.5 is 4.9 points of excess return, over 8 points of volatility, which is 0.6125. For the benchmark: 12.9 minus 6.5 is 6.4 points, over 11, which is 0.5818. The fund bought slightly more return for each unit of risk. The benchmark earned more in total because it took about 37% more risk, not because it used that risk better.

Put both results on the same risk. If the fund had been geared up to the benchmark's 11% volatility, its approach would have earned 6.5 plus 0.6125 times 11, about 13.24%, which is 0.34 points more than the benchmark. That figure, sometimes called M-squaredA fund return rescaled to the benchmark risk level, so the two can be compared in plain percentage points., is easier to say out loud than a ratio. Then give the rupee story and the bad-year story side by side.

The bad-year row uses a crude rule, return less two standard deviations, and real markets have fatter tails, so treat it as a sense of scale, not a forecast. The client gave up about Rs 57 thousand of gain in exchange for a portfolio whose rough bad year was about half as deep. That is the trade a balanced advantage fund exists to offer.

Not very, and say so. A Sharpe gap of 0.03 over three years of monthly returns is well inside the noise; a slightly different start date could flip it. The honest reading is that the fund delivered its promise, not that it has proven skill. Two checks sharpen the view: the fund's worst drawdown against the benchmark's, and whether its equity calls added value or it simply held less equity in a rising market, which a cheaper static hybrid would also have done.

For the client, close with his own situation. If he chose this fund because he would not have held on through a benchmark-sized fall, the fund did exactly what he paid for. If he wanted maximum growth and can sit through deep falls, the question is not whether the fund failed but whether it was the right category for him.