Using risk adjusted returns over a 10-year period
Returns on mutual funds most of us understand quite easily. For instance, if you are invested in a growth plan of an equity fund and the NAV has appreciated from Rs110 to Rs123 in 1 year, then your annual return on the equity fund is 11.82%. That looks simple and mathematically elegant. The problem arises when you are comparing two funds and deciding which fund to invest in. Let us say, both funds have given around 11.82% returns, then you have a tough choice to make. Can you then be indifferent to the selection of the fund. On the contrary, you need to fine tune this return definition by factoring in risk and looking at risk-adjusted returns, rather than just the returns.
Before we get into risk-adjusted returns as a concept, let us first understand the narrative behind risk adjusted returns. Assume there are 2 large cap equity funds with almost the same AUM size. While Fund-A has generated 14.6% returns in the last one year, Fund-B has generated 18.3% returns in the last year. There is one more data point. Fund-A did this with standard deviation of 12% while Fund-B earned higher returns with standard deviation of 29%. Clearly, Fund-B has been taking on more risk in the quest for higher returns. Instead of returns, if you look at risk adjusted returns, you will realize that Fund-B has not generated higher returns with higher skill, but by merely taking more risk with your money. That is the subtle difference that risk adjusted returns capture.
Why 10 years and how we use risk-adjusted returns?
In the realm of mutual funds, there are varying definitions of the long term. Some start with 5 years and go all the way to 15 years. Typically, in a slightly more complex economy like India a ten year period would be the right way to look at the risk adjusted returns. In the Indian context, if you take a time frame of 10 years, you get to see about 3 cycles in equities and 3 cycles in debt. That is a good experience stack on which to review and compare the performance of various asset classes. Also, it begs the question; how do we can calculate risk adjusted returns.
The best way to calculate risk adjusted returns is to divide the average returns by the standard deviation. However, calculation of standard deviation can be quite complex and it is possible to get similar results by using a simpler version of variance. In this case, we use range instead of standard deviation. Returns on CAGR basis are looked at various sub-categories of funds and then such returns are divided by the range of returns to get the risk-adjusted returns. This 10-year risk-adjusted returns are then used for ranking the various fund categories under the headers of equity funds, income funds and alternative funds.
How equity funds performed over 10 years on risk-adjusted returns
The table below captures the performance of various categories of equity funds based on risk adjusted returns.
Morningstar |
Category Average |
Top Performer |
Bottom Performer |
Range |
Risk Adjusted Returns |
Dividend Yield |
15.41 |
17.03 |
14.06 |
2.97 |
5.1886 |
Sector – Healthcare |
15.47 |
18.58 |
13.13 |
5.45 |
2.8385 |
Mid-Cap |
20.27 |
24.70 |
16.78 |
7.92 |
2.5593 |
Value |
17.41 |
21.48 |
13.43 |
8.05 |
2.1627 |
Sector – Financial Services |
14.12 |
18.95 |
12.36 |
6.59 |
2.1426 |
Multi-Cap |
18.28 |
23.94 |
14.94 |
9.00 |
2.0311 |
Large-Cap |
13.77 |
17.82 |
11.04 |
6.78 |
2.0310 |
Contra |
16.97 |
20.75 |
12.31 |
8.44 |
2.0107 |
Equity- Infrastructure |
17.83 |
23.25 |
12.68 |
10.57 |
1.6868 |
Small-Cap |
22.43 |
29.97 |
15.92 |
14.05 |
1.5964 |
Focused Fund |
15.53 |
20.93 |
10.99 |
9.94 |
1.5624 |
Large & Mid- Cap |
16.91 |
24.54 |
13.02 |
11.52 |
1.4679 |
ELSS (Tax Savings) |
16.05 |
25.09 |
13.37 |
11.72 |
1.3695 |
Flexi Cap |
15.69 |
23.64 |
10.63 |
13.01 |
1.2060 |
Median |
16.48 |
22.37 |
13.08 |
8.72 |
2.0208 |
Data Source: Morningstar India
Here are some of the key takeaways from the risk adjusted returns on equity funds over the last 10 years.
Overall, the risk-adjusted story is quite compelling. Over the longer run, it is not just the returns, but it is the risk factor that makes a bigger difference. That is where, the likes of Dividend Yield funds and healthcare funds have scored.
How Income Funds performed over 10 years on risk-adjusted returns
The table below captures the performance of various categories of income / debt funds based on risk adjusted returns.
Morningstar |
Category Average |
Top Performer |
Bottom Performer |
Range Variance |
Risk Adjusted Returns |
Long Duration |
6.59 |
8.71 |
5.47 |
3.24 |
2.0340 |
Floating Rate |
6.32 |
8.18 |
4.55 |
3.63 |
1.7410 |
10 yr Government Bond |
6.74 |
8.80 |
4.68 |
4.12 |
1.6359 |
Medium to Long Duration |
6.32 |
8.57 |
4.04 |
4.53 |
1.3951 |
Short Duration |
6.21 |
8.68 |
3.90 |
4.78 |
1.2992 |
Banking & PSU |
6.25 |
8.92 |
4.06 |
4.86 |
1.2860 |
Medium Duration |
6.61 |
9.60 |
3.67 |
5.93 |
1.1147 |
Corporate Bond |
6.51 |
9.38 |
3.23 |
6.15 |
1.0585 |
Ultra Short Duration |
5.65 |
8.61 |
3.09 |
5.52 |
1.0236 |
Money Market |
5.75 |
8.79 |
3.16 |
5.63 |
1.0213 |
Government Bond |
7.20 |
9.75 |
2.37 |
7.38 |
0.9756 |
Low Duration |
5.69 |
8.06 |
2.08 |
5.98 |
0.9515 |
Credit Risk |
6.00 |
9.00 |
2.40 |
6.60 |
0.9091 |
Dynamic Bond |
6.66 |
9.83 |
0.23 |
9.60 |
0.6938 |
Median |
6.32 |
8.80 |
3.45 |
5.58 |
1.0866 |
Data Source: Morningstar India
Here are some of the key takeaways from the risk adjusted returns on income / debt funds over the last 10 years.
In the case of debt funds, discretion and credit quality have worked against performance. However, an interesting takeaways is that over the longer time frame, it does not add a lot of value trying to predict which way the interest rates are likely to move.
How Alternate Funds performed over 10 years on risk-adjusted returns
The table below captures the performance of various categories of alternate funds based on risk adjusted returns.
Morningstar |
Category Average |
Top Performer |
Bottom Performer |
Range Variance |
Risk Adjusted Returns |
Sector – Precious Metals |
6.21 |
6.27 |
5.01 |
1.26 |
4.9286 |
Balanced Allocation |
10.34 |
11.89 |
9.01 |
2.88 |
3.5903 |
Arbitrage Fund |
5.87 |
6.78 |
3.71 |
3.07 |
1.9121 |
Dynamic Asset Allocation |
11.77 |
17.42 |
9.14 |
8.28 |
1.4215 |
Equity Savings |
8.03 |
10.89 |
4.53 |
6.36 |
1.2626 |
Aggressive Allocation |
14.10 |
19.29 |
8.02 |
11.27 |
1.2511 |
Conservative Allocation |
7.64 |
11.46 |
3.61 |
7.85 |
0.9732 |
Liquid |
5.19 |
7.00 |
1.39 |
5.61 |
0.9251 |
Median |
7.84 |
11.18 |
4.77 |
5.99 |
1.3420 |
Data Source: Morningstar India
Here are some of the key takeaways from the risk adjusted returns on alternate funds over the last 10 years. In this category, we have combined all allocation funds, special situation funds and even commodity funds.
To sum up the story of mutual fund rankings over a 10-year period on risk adjusted returns; dividend yield funds emerged as the best category across the spectrum on risk-adjusted returns followed by gold funds. Clearly, conservatism and prudence are working well in mutual funds in India.
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