The Trouble With Mutual Fund Star Ratings

Published: April 14, 2015 at 10:15 am

Last Updated on December 25, 2020

Mutual fund star ratings are supposed to rate funds on a risk adjusted basis. That is, more the number of stars, better the risk-adjusted performance. If you look at some of the metrics they use to award star ratings, you might agree with me that this is not as easy as it sounds and that the ‘best’ funds need not necessarily carry five stars.

First some simple definitions

1. Beta  is a volatility measure and tell us how much the fund changes for a given change in the index. A beta of 1 implies the fund movement is identical to the index movement. A beta of 0.9 implies the fund is 10% less volatile than the index.

Lower the beta, lower the volatility


2. Standard deviation is a volatility measure and tell us, for a given set of returns (daily returns in this case), how much do individual returns deviate from the average. This is calculated for both the fund and the benchmark.

Lower the standard deviation, lower the volatility

3. Alpha  is a risk adjusted performance measure. It takes into account, the average return of the fund and its benchmark, a risk-free rate defined by the user and how the fund responds to swing in the benchmark (Beta)

Higher the alpha, higher the outperformance of the fund.

4. Sharpe ratio  is a risk adjusted performance measure. We calculate the excess returns of the fund wrt a risk-free rate. The ratio is the average of the excess return and the standard deviation of the excess return. This is calculated for both the fund and the benchmark.

Higher the Sharpe ratio, better is the performance (higher returns + low deviation from average return)

5. Sortino Ratio  is a risk adjusted performance measure. The Sharpe ratio considers both positive and negative excess returns (wrt risk free rate). The Sortino ratio considers only the negative excess returns while calculating the standard deviation. There should be enough negative excess return data points to justify the use of the Sortino ratio. To take care of this, daily returns are used (instead of monthly returns as done by AMCs/fund portals).

Higher the Sortino ratio, better is the performance (higher returns + low negative deviation from average return)

The next step is to understand that these metrics are not independent

The following is based on data for all equity funds, except sector funds from Value Research online. The metrics are computed over a 3 year period.

risk-vs-reward-star-ratings-1

Higher the standard deviation, higher the beta, typically.

risk-vs-reward-star-ratings-2

Higher the Sharpe ratio, higher the Sortino ratio, typically.

risk-vs-reward-star-ratings-3

Higher the Sharpe ratio, higher the alpha, again typically.

Now let us look at these metrics wrt star ratings

Standard deviation vs. Star Ratings

risk-vs-reward-star-ratings-4

Try to ignore the red box first! Notice that several one star funds have comparable standard deviation with 5 star funds.

The red box is a filter. It aims to filter funds that have a standard deviation no higher than 5 star funds. About 20%. All funds above this box are eliminated for risk vs. reward analysis (see below).

Sharpe Ratio vs. Star Ratings

risk-vs-reward-star-ratings-5

About 50% of two star funds have comparable Sharpe ratios with five star funds. The red box this time eliminates all funds which have Sharpe ratio below five star funds. That is, all points below the box are eliminated for risk-vs. reward analysis.

3-year return vs. Star ratings (filtered)

After applying both red box filters mentioned above, the 3-year return vs. star ratings is shown below.

risk-vs-reward-star-ratings-6

There is one 1-star fund and several 2-star funds that have a risk-adjusted profile similar to 5 star funds!

3-year Alpha vs. Star ratings (filtered)

After applying both red box filters mentioned above, the 3-year alpha vs. star ratings is shown below.

risk-vs-reward-star-ratings-7

Again, the conclusions are the same as the above graph.

Risk vs. Reward (full data set)

Return (reward) vs. risk (standard deviation) for the full data set. There is no correlation. Higher risk does not mean higher reward!

risk-vs-reward-star-ratings-8

 

Risk vs. Reward (filtered)

Return (reward) vs. risk (standard deviation) for the data set filtered with two red boxes (no standard deviation more than 5 star funds, no Sharpe ratio less than a 5 star fund). Now the correlation has improved (the data bunch slopes up) but it is still quite poor.

risk-vs-reward-star-ratings-9

Risk vs. Reward (3,4 and 5 star funds only)

Return (reward) vs. risk (standard deviation) for all funds except 1-star and 2-star funds. The correlation is still poor. More stars does not necessarily mean better risk adjusted performance.

risk-vs-reward-star-ratings-10

Sharpe Ratio vs. Star Ratings (a new filter)

Let us now try another kind of filer. Let us now push the red box up and eliminate all funds which  have a Sharpe ratio lower than the highest value observed for a 2-star fund.  That is all points below the box are eliminated. This means eliminating most 3-star funds, many 4-star funds and a handful of 5-star funds.

risk-vs-reward-star-ratings-11

Risk vs. Reward (with the new filter)

Notice now that the correlation between risk and reward has improved after eliminating some 3,4 and 5 star funds. This is only 28% of the full data set!

risk-vs-reward-star-ratings-12

I am not proposing a method of correlating risk and reward. The indisputable truth is that they cannot be correlated.

The point I am trying to make is,

do not assume, higher star rating implies better risk adjusted performance.

So I choose to not depend on star ratings at all. I prefer to focus on long-term consistent performance.

Do share if you found this useful

Use our Robo-advisory Excel Template for a start-to-finish financial plan! Now with a new demo video!  More than 640 investors and advisors use this!
Our flagship course! Learn to manage your portfolio like a pro to achieve your goals regardless of market conditions! More than 2525 investors and advisors are part of our exclusive Facebook Group! Get clarity on how to plan for your goals and achieve the necessary corpus no matter what the market condition is!! Watch the first lecture for free!  One-time payment! No recurring fees! Life-long access to videos in an exclusive Facebook Group! Reduce fear, uncertainty and doubt while investing! Learn how to plan for your goals before and after retirement with confidence.
Our new course!  Increase your income by getting people to pay for your skills! More than 585 salaried employees, entrepreneurs and financial advisors are part of our exclusive Facebook Group! Learn how to get people to pay for your skills! Whether you are a professional or small business owner who wants more clients via online visibility or a salaried person wanting a side income or passive income, we will show you how to achieve this by showcasing your skills and building a community that trusts you and pays you! (watch 1st lecture for free). One-time payment! No recurring fees! Life-long access to videos in an exclusive Facebook Group!   
My new book for kids: “Chinchu gets a superpower!” is now available!
Both boy and girl version covers of Chinchu gets a superpower
Both boy and girl version covers of Chinchu gets a superpower.
Most investor problems can be traced to a lack of informed decision making. We have all made bad decisions and money mistakes when we started earning and spent years undoing these mistakes. Why should our children go through the same pain? What is this book about? As parents, if we had to groom one ability in our children that is key not only to money management and investing but for any aspect of life, what would it be? My answer: Sound Decision Making. So in this book, we meet Chinchu, who is about to turn 10. What he wants for his birthday and how his parent’s plan for it and teach him several key ideas of decision making and money management is the narrative. What readers say!
Feedback from a young reader after reading Chinchu gets a Superpower (small version)
Feedback from a young reader after reading Chinchu gets a Superpower!
Must-read book even for adults! This is something that every parent should teach their kids right from their young age. The importance of money management and decision making based on their wants and needs. Very nicely written in simple terms. - Arun.
Buy the book: Chinchu gets a superpower for your child!
How to profit from content writing: Our new ebook for those interested in getting side income via content writing. It is available at a 50% discount for Rs. 500 only!
Did you know? We have more than 1000+ videos on YouTube to explore! Join our YouTube Community!

Want to check if the market is overvalued or undervalued? Use our market valuation tool (will work with any index!), or you buy the new Tactical Buy/Sell timing tool!
We publish mutual fund screeners and momentum, low volatility stock screeners .every month.
About the Author Pattabiraman editor freefincalM. Pattabiraman(PhD) is the founder, managing editor and primary author of freefincal. He is an associate professor at the Indian Institute of Technology, Madras. since Aug 2006. Connect with him via Twitter or Linkedin Pattabiraman has co-authored three print books, You can be rich too with goal-based investing (CNBC TV18), Gamechanger, Chinchu Gets a Superpower! and seven other free e-books on various money management topics. He is a patron and co-founder of “Fee-only India,” an organisation to promote unbiased, commission-free investment advice. He conducts free money management sessions for corporates and associations based on money management. Previous engagements include World Bank, RBI, BHEL, Asian Paints, Cognizant, Madras Atomic Power Station, Honeywell, Tamil Nadu Investors Association, IIST Alumni Association. For speaking engagements, write to pattu [at] freefincal [dot] com
About freefincal & its content policy Freefincal is a News Media Organization dedicated to providing original analysis, reports, reviews and insights on developments in mutual funds, stocks, investing, retirement and personal finance. We do so without conflict of interest and bias. Follow us on Google News. Freefincal serves more than three million readers a year (5 million page views) with articles based only on factual information and detailed analysis by its authors. All statements made will be verified from credible and knowledgeable sources before publication. Freefincal does not publish any paid articles, promotions, PR, satire or opinions without data. All opinions presented will only be inferences backed by verifiable, reproducible evidence/data. Contact information: letters {at} freefincal {dot} com (sponsored posts or paid collaborations will not be entertained)
Connect with us on social media
Our publications

You Can Be Rich Too with Goal-Based Investing

You can be rich too with goal based investingPublished by CNBC TV18, this book is meant to help you ask the right questions, seek the correct answers, and since it comes with nine online calculators, you can also create custom solutions for your lifestyle! Get it now. It is also available in Kindle format.
Gamechanger: Forget Startups, Join Corporate & Still Live the Rich Life You Want Gamechanger: Forget Start-ups, Join Corporate and Still Live the Rich Life you wantThis book is meant for young earners to get their basics right from day one! It will also help you travel to exotic places at a low cost! Get it or gift it to a young earner.

Your Ultimate Guide to Travel

Travel-Training-Kit-Cover-new This is an in-depth dive analysis into vacation planning, finding cheap flights, budget accommodation, what to do when travelling, how travelling slowly is better financially and psychologically with links to the web pages and hand-holding at every step. Get the pdf for Rs 199 (instant download)
Free android apps