Showing posts with label sharpe ratio. Show all posts
Showing posts with label sharpe ratio. Show all posts

Friday, 8 March 2013

Top 10 Unit Trust based on Volatility and Sharpe Ratio

Whenever I talk to my friends and colleagues about unit trust investing, the most common question asked is "What is the best performing fund with the highest returns?" It can't be helped that I too asked that very same question when it comes to investing. However, when it comes to investing in unit trust, it is not necessary the highest returns that should be the only consideration. Investors should consider the risk taken for that kiind of returns.

In my previous post, I wrote about the concept of Annualised Volatility and Sharpe Ratio. Both the jargons represent the risk you will face and the worthiness of the risk you are going to take to invest in a particular fund. You can read the post HERE

Today, I decided to look up the Annualised Volatility and Sharpe Ratio of the top 10 Best Performing Unit Trust funds under Category of Equity Malaysia. 

Are all the top ranked funds in Equity Malaysia really worth investing in?

Introduction:
In the table below, I have summarized the top 10 unit trust funds for Equity Malaysia based on:
  • 3 Year Annualised Returns (%)
  • 3 Year Annualised Volatility (%)
  • Sharpe Ratio
Top 10 Unit Trust Funds
(Category : Malaysia Equity)
3 Year Annualized Returns  (%)
(as of 7 March 2013)
3 yr Annualized Volatility (%)
(as of 28 Feb 13)
Sharpe Ratio
(as of 28 Feb 13)
Kenanga Growth Fund
21.15
8.78
1.91
Kenanga Syariah Fund
18.54
8.25
1.76
MAAKL-HDBS Flexi Fund
17.59
8.95
1.54
MAAKL Dividend Fund
16.29
8.63
1.46
AMB Dividend Trust Fund
16.16
7.62
1.63
Public Focus Select Fund
15.98
10.63
1.18
CIMB-Principal Equity Fund 2
14.05
10.69
1.01
CIMB-Principal Equity Fund
13.90
10.17
1.05
MAAKL Al-Fauzan
13.47
9.38
1.09
Hwang AIIMAN Growth
13.30
10.14
1.00
Analysis:
Let's take a look at the table. The highest returning fund over a 3 year period is Kenanga Growth fund at 21.15%. Its Sharpe Ratio is also the highest among the 10 funds. What does all that mean? 

When looking at Sharpe Ratio, we are actually looking at the ratio between the profit you make against the risk you are taking. The derivation is based on the the simple concept of Annualized Returns divided by Volatility. In the case of Kenanga Growth fund, a Sharpe Ratio of 1.91 means for every 1 unit of risk you are taking, you will make 1.91 unit in returns.

However, the Sharpe Ratio is not a direct translation of the profit that you can make. It does not mean that if you invest RM1 in Kenanga Growth fund, you will get RM1.91 in returns!

Let's take a look at CIMB-Principal Equity Fund 2 (CPEF2). The fund's annualised return over a period of 3 years is 14.05%. The Sharpe Ratio for the fund is 1.01 and the annualised volatility is 10.69%. CPEF2's volatility s the highest among the 10 funds and its Sharpe Ratio is the 2nd lowest. What does all that mean?

CPEF2 is an example of a fund that is able to produce high returns yet at the same time exposing investors to high volatility. In a nutshell, the higher the volatility the more thrilling your investment roller coaster ride would be. Price of CPEF2 over the 3 years will fluctuate more frequently (up and down) as compared to the other funds. The main problem faced by investor when buying CPEF2 is the timing of entry. 

Example:
If you have RM50,000 to invest, the volatility of CPEF2 makes it difficult for you to time the entry of your purchase and you might end up making less profit if you invest your money when the price is high (due to volatility). 

Still confused?
First ask yourself this, what kind of unit trust investor are you? Try looking at the 3 categories below:

Category A investor: Long term investment (investing consistently by buying on a periodic basis)

Category B investor: Short term investment (has a huge sum of money to buy at low and selling at high)

Category C investor: Long term investment (has a huge sum of money and intend to buy consistently on a periodic basis)

Category A investor:
If you are in this category (normally most of us are), your unit trust investment is on a periodic basis for long term. Your investment mostly comes from monthly contribution of quarterly contribution via EPF. The strategy is to leverage on the concept of 'Dollar Cost Averaging', where regardless of the fund price, you continue to purchase units consistently. When the price is low, you get more units and when the price is high you get lesser. For Category A investor, Annualised Volatility and Sharpe Ratio does not play a much of a role in determining what kind of fund you buy. The highest Annual Returns would be the key decision maker here when it comes to selecting a fund. 

Recommended Equity Malaysia Funds to buy for Category A investor: 
  • The Top Three funds with highest annual returns
Category B investor:
Investors in this category are similar to speculators intending to invest for a short term. By identifying funds has good annual returns, category B investor would look at the volatility of each fund. The more volatile the fund, the better it is as the price fluctuation allows them to buy unit trust at low prices and selling/redeeming the units when it is high. A volatile fund is much more sensitive to market movement. Therefore during a bearish market, the unit trust price falls faster then its counterpart and vice versa. Hence the opportunity to profit is available for Category B investors.

Recommended Funds to "speculate" for Equity Malaysia : 
  • CIMB Principal Equity Fund 2
  • Public Focus Select Fund
  • Hwang AIIMAN Growth
Category C investor:
Investors in this category have a huge sum of money to start investment, after which they would like to consistently contribute on a periodic basis. The investment nature is long term and leverages on the concept of "Dollar Cost Averaging". Category C investor have to be cautious especially when finding a fund to invest their initial large sum of money. 

Making your first purchase in a unit trust fund with a large sum of money when fund price is high could result in dire consequences. The large quantity of units bought at a high price will impact your overall "Dollar Cost Averaging" value at the end of the day. 

Considering that you intend to start your initial investment with a huge amount, you should place effort into finding the right time to make your purchase. If you do not have that kind of time, then it would be wise to go for funds with high Sharpe Ratio and low Volatility. 

Recommended Funds to do your research:
  • The Top Three funds with highest annual returns
Recommended Funds if you have no time to do research:
  • Kenanga Syariah Fund
  • AMB Dividend Trust Fund
Summary:
By understand the concept of annualised volatility and Sharpe ratio, it has helped me to look at unit trust investing differently. I hope this post has helped you to realized that investing in unit trust is not just about finding the fund with the highest returns.

Note:
Just like any other post I have made, all recommendations are based on my knowledge and personal view. The recommendations are not a call to buy or invest. 

Cheers and Happy Investing!

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Thursday, 7 March 2013

Understanding Volatility and Sharpe Ratio in Unit Trust Investing

Familiar with the following two jargon in unit trust investing?


You might come across the term 3-year Fund Volatility at the top of any fund factsheet. Here's a sample from AMB Dividend Fund factsheet:


*Note : 3 Year Fund Volatility and 3 Year Annualised Volatility are the same.
So what exactly is a 3-yr Annualised Volatility and a 3-yr Sharpe ratio?

What is Volatility?
Volatility in term of unit trust is a measure of how much the price of a fund fluctuate (go up and down) during a certain period of time. 

What is Annualised Volatility?
Annualised volatility is the measure of a unit trust price fluctuation over a period of one year.

What is 3 yr Annualised Volatility?
Measure of price fluctuation of a unit trust price over a period of 3 years.

How to calculate a 3 yr Annualised Volatility?
Normally the 3 yr Annualised Volatility of a fund is already calculated and made available for investors. However, it is important for investor to understand how the 3 yr Annualised Volatility is derived. To make things easier, I will demonstrate how a 1 yr Annualised Volatility is calculated for OSK-UOB KidSave Trust.

Calculating 1 yr Annualised Volatility for OSK-UOB KidSave Trust:
1) First step is to derive the monthly volatility for a 1 year period. In order to do this, we will need the unit trust price for every month end over a period of one year (from Jan 2012 - Dec 2012). Using the monthly unit trust prices, we are able to calculate the monthly % returns as shown in the table below:

Date
Monthly NAV
Difference between NAV (month to month)
Monthly Returns in %
31-Jan-12
0.5645


29-Feb-12
0.5774
0.0129
2.29%
30-Mar-12
0.5464
-0.0310
-5.37%
30-Apr-12
0.5514
0.0050
0.92%
31-May-12
0.5457
-0.0057
-1.03%
29-Jun-12
0.5594
0.0137
2.51%
31-Jul-12
0.5614
0.0020
0.36%
30-Aug-12
0.5764
0.0150
2.67%
28-Sep-12
0.5840
0.0076
1.32%
30-Oct-12
0.5925
0.0085
1.46%
30-Nov-12
0.5940
0.0015
0.25%
31-Dec-12
0.6114
0.0174
2.93%
*Average Monthly Returns over 1 year
0.69%
**1 Year Return in %
8.31%
* Calculated by summing up all 12 month's monthly returns and dividing the total by 12
* * Calculated by taking the Monthly NAV on 31 Dec 12 minus NAV on 31 Jan 12. The difference is divided by NAV on 31 Jan 12 after which the result is converted to %

2) From the table above, we are also able to determine:
  • Average Monthly Returns over 1 year : 0.69%
  • 1 Year Return in % : 8.31%
3) To calculate the monthly volatility, all we need to do is plug in the information from Item 1 and Item 2 into the formula: 
where:
  • x : Monthly Returns in % from Jan 2012 till Dec 2012
  • Ma : Average Monthly Returns over 1 year (0.69%)
  • n : 12 (months)
4) The formula for monthly volatility would look something like this:

                            ________________________________________________
σmonthly volatility  =  /(2.29% - 0.69%)2 + (-5.37% - 0.69%)2 +…..+ (2.93% - 0.69) 2
                                  /   --------------------------------------------------------------------------
                √                                 (12 – 1)
                        
                           =  2.25% (monthly volatility)

5) Once we have obtained the monthly volatility, we can now derived the 1 year annual volatility:

                                                                         __
σannual volatility   = σmonthly volatility   X  √12
                       = 2.25% X 3.464
                       = 7.79% (1 year annual volatility for OSK-UOB KidSave Trust)

What does 7.79% Annual Volatility means?
7.79% is the calculated deviation that can happen to the annual returns (%) of OSK-UOB Kid Save Trust Fund over a period of 1 year. This deviation occurs 68.27% of the time*.

*(68.27% is an empirical fixed figure for deviation)

Earlier we calculated the 1 Year Return for OSK-UOB Kid Save Trust to be 8.31% (refer to previous table). 

In terms of volatility, the 1 Year Return for OSK-UOB Kid Save Trust will deviate between 0.52% (8.31% - 7.79%) to 16.1% (8.41% + 7.79%) at 68.27% of the time.

The actual 3 year Annualized Volatility is calculated in the same manner except that daily prices instead of monthly prices will be used for the calculation. The period for calculation is 3 years instead of 1 year.

I still do not understand how the Annual Volatility Calculation is Done!
Worry not as we do not need to understand the mathematical part of it. What's most important when you see Annual Volatility (3 year Annualized Volatility), you should be aware that:
  • The higher the volatility figure, the more volatile the fund is.
  • The lower the volatility figure, the lesser volatile the fund is.
  • When comparing between two funds of the same category, the fund with the lower volatility will have lesser fluctuation on the unit price over a period of time.
Say two funds with the same 3 years Annualized Returns are compared in the table below:


Eastspring Investments Asia Pacific Equity MY Fund
Pheim Asia Ex-Japan Islamic
3 Year Annualised Returns
2.20%
2.10%
3 yr Annualised Volatility
18.16%
16.48%

Both funds have almost similar annual returns of 2.10% - 2.20%. In terms of volatility, Pheim Asia Ex-Japan Islamic fund has a lower percentage as compared to Eastspring Investment Asia Pacific Equity MY Fund. While both funds are able to produce the same returns, PAEJI's fund manager is better in managing and preventing the fund price from over fluctuating!

Knowing the volatility of a unit trust fund only allows an investor to know the range of returns of that fund, it does not reflect the strength of the unit trust performance. This is where the Sharpe Ratio comes into play!

What is Sharpe Ratio?
The Sharpe ratio indicates the excess return an investor is expected to receive for every unit of risk that the unit trust undertakes.

The formula for calculating Sharpe Ratio as shown below:


Referring to the definition above, the aspect of risk and returns are the main key points here. Sharpe Ratio provides an indicator on your returns versus the risk you have taken to invest in that unit trust. 

Looking at the formula once again, you can see the "Annualised Return" is the profit you expect to make. "Annualised Volatility" is the amount of risk you are taking. When dividing profit with risk, you get a profit vs risk ratio. 

What about the term Risk Free Rate?

The risk-free rate describes the best available rate of return of a risk-free security. The interest rate of the 3-month US Treasury bill is often used as the risk-free rate but for us, using the Maybank’s 12-month Fixed Deposit rate of 3.15% as the risk-free rate is good enough.

By deducting the risk free rate from the annualised return, we now have the 'true' returns of investing in unit trust. Dividing the 'true' returns with the annualised volatility (risk taken), we have what we call the Sharpe Ratio!

It's example time!


Kenanga Growth Fund
AMB Dividend Fund
3 Year Annualized Returns
20.80%
16.00%
3 yr Annualised Volatility
9.48%
8.01%
Sharpe Ratio
1.79
1.6
Here's a compariosn between 2 Malaysian Equity Unit Trust Fund. Kenanga Growth fund has a better 3 year annualized return albeit with higher Sharpe Ratio. AMB Dividend Fund generates a lower return and is reflected by the low Sharpe Ratio and lower volatility. Hence the saying "High risk, high returns"

Summary
Understanding about Annualised Volatility and Sharpe Ratio adds another layer of precaution when it come to investing in unit trust. In my opinion, the best time to utilize Annualised Volatility and Sharpe Ratio is when faced with the dilemma of choosing between a few funds with the same annual returns. Go for the lowest percentage volatility and the highest sharpe ratio if possible!

Cheers and Happy Investing!

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