Joel Greenblatt proved that his Magic Formula investment strategy works in the US markets.

### Magic formula works in the Benelux

And Pim Postma in his 2015 Bachelor thesis Magic Formula Investing in the Benelux proved that the Magic Formula also works in the Benelux (Belgium, Luxembourg and the Netherlands) stock markets where it was able to realise an average 7.70% annual market outperformance without taking additional risk during the 20 year period from 1995 to 2014.

You can read more in the article Does the Magic Formula also work in Belgium, Luxembourg and the Netherlands?

### Does it work in Finland?

But does the Magic Formula also work when applied to companies listed in Finland?

It does, and it was proved in 2013 by Topias Kukkasniemi in his 68 page master’s thesis * The Use of Systematic Value Strategies in Separating The Winners From The Losers: Evidence From The Finnish Markets* at the Lappeenranta University of Technology in Finland.

He tested the Magic Formula on the Finnish stock market over the 13 period from May 1997 to May 2010 and found that the strategy outperforms the market.

### Counter-intuitive discovery

But he also made a counter-intuitive discovery that can increase your return from the Magic Formula which you will find interesting so keep reading.

### Tested the Magic Formula and other strategies incl. ERP5

Topias not only tested the Magic Formula but also the ERP5 investment strategy (that performs even better than the Magic Formula) developed by Philip Vanstraceele and Luc Allaeys, two good friends of mine.

You can read more about the ERP5 investment strategy here: A better alternative to the Magic Formula?

In this article I am going to focus on his testing of the Magic Formula investment strategy.

### What he found

This is what he found in his thesis:

*"This study examines the Magic Formula and ERP5 value strategies in the Finnish stock market.*

* Magic Formula ranks stocks based on EV/EBIT and ROA and ERP5 based on EV/EBIT, ROA, P/B and five-year trailing ROA. The purpose of the study is to examine whether the value strategies can be used to generate excess returns over the market index. *

*The data has been collected from the Datastream database for the sample period from May 1997 to May 2010 and consists of the companies listed on the main list of Helsinki Stock Exchange. *

*This study confirms the findings of previous research that value premium exists in the Finnish stock markets and that systematic value strategies can be used to form portfolios that outperform the market index with lower volatility."*

Source: *The Use of Systematic Value Strategies in Separating The Winners From The Losers: Evidence From The Finnish Markets*

### In plain English

In plain English he found that the Magic Formula investment strategy would have given you higher return than the overall Finnish stock market with less risk (wild up and down movements) over the 13 year test period.

### What and how he tested

**Back test universe**

Topias limited his testing companies listed on the main list of Finland’s Helsinki Stock Exchange.

The data used in the thesis was from the Thomson Reuters Datastream database. If data was missing it was added from annual reports or company websites.

The number of companies in the back test universe ranged from 61 to 120 depending on the year. If a company has more than one series of shares listed, only the more liquid series is included in the sample.

As suggested by Joel Greenblatt utility stocks were excluded, as well as financials because their financial statements have a slightly different structure and the ratios are not comparable to companies operating in other sectors, such as manufacturing.

**How returns were calculated **

Return calculations included dividends for both individual companies and the benchmark index.

He did not include taxes or transaction cost in the return calculations.

**Time period**

The time period tested in the study was the 13 years from 2 May 1997 to 2 May 2010. This is about equal to one business cycle. This gives you the chance to see how the strategy performs in up and down markets.

This period included some large market movements such as the tech bubble and the 2007 to 2009 financial crisis.

Equal weight portfolios (same amount invested in each company) were formed on the first trading day of May each year.

The portfolios were formed in May to minimize the risk of look ahead bias, as it takes a couple of months for the companies to publish their annual reports after their December year end.

The portfolios were held for a year until the first trading of May of the following year.

### Testing the Magic Formula in Finland

Topias tested the Magic Formula slightly differently. Instead of using Return on Invested capital (ROIC) he used Return on Assets (ROA).

He did this for two reasons:

- Because the previous research on the relationship between ROA and high future returns is extensive.
- ROA figures are more easily accessible by small investors than ROIC.

ROA was calculated as follows: Earnings Before Interest and Taxes (EBIT) / Total Assets.

### Test portfolios, a great idea

To test the strategies really thoroughly Topias divided companies into four categories (from best – Top 25% to worse – Bottom 25%) based on their Magic Formula rankings.

This resulted in the following portfolios:

As you can see the total number of companies in the investment universe varied between 61 and 120. The number of companies in the portfolios varied between 15 and 30.

### Results

Now we come to the most important part – how well did the Magic Formula do in Finland?

*Click to enlarge image*

As you can see the Magic Formula could definitely have helped you outperform the market.

### Surprising finding - than increases your returns

But the surprising finding of the study is that the best ranked Magic Formula companies (MF Top 25%), thin blue line in chart above, did not perform the best.

You would have gotten better returns **if you invested in the companies just below the top 25% of Magic Formula companies** (MF Upper Mid 25%) the red line in the chart above.

Why is this, you may be thinking?

Topias speculated as to why it could be saying:

*"A possible explanation for this could be that the stocks ranked in the top quartile are cheap for a reason and have only recently taken a turn to the worse so that the accounting ratios still look attractive although the business environment has changed. For some reason, Magic Formula seems to put the biggest gainers in the second quarter." *

### Better returns if you do this

This is a very interesting insight and is not something we have tested.

We have however found that you can get even better returns if you combine the Magic Formula with companies that have good six month share price momentum (6 month Price Index).

This is because good share price momentum (a share price moving up) screens out value trap companies, companies with declining businesses and share prices.

You can also use the Piotroski F-Score to help you side step value traps when searching for Magic Formula investment ideas. You can read more on how to do this here: Can the Piotroski F-Score also improve your investment strategy?

### Return and risk

Topias not only tested to see if the Magic Formula could give you higher than market returns but also if you could achieve the returns with less risk.

He defined risk as the volatility of Magic Formula returns compared to that of the market index.

Annualized returns and volatilities for Magic Formula portfolios compared with the Finnish OMXH Cap index and the whole sample equally weighted Finnish market portfolio (WSEW) 1997-2010.

*Click to enlarge image*

### Higher returns with lower risk

As you can see all the Magic Formula portfolios were less risky than the market index (OMXH).

The following table summarises risk and return numbers of the Magic Formula portfolios.

*Click to enlarge image*

The highest risk adjusted return, highest Sharpe Ratio, of 0.61 was achieved by the Upper Mid 25% Magic Formula companies.

### Conclusion

- So the Magic Formula works even if you apply it to a relatively small group of companies only in Finland.
- When investing using the Magic Formula it is not the best idea to choose the highest ranked companies but the companies ranked from 26% to 50%.
- Or you can add a ratio that gets rid of bad quality companies such as share price momentum or the Piotroski F-Score.

### How you can get the Magic formula working in your portfolio

The Quant Investing screener already has everything you need to get the Magic Formula investment ideas for your portfolio.

### How to select to best Magic Formula ranked companies

Once you have logged in simply select MF rank (Magic Formula ranking) as your primary screening factor.

You can combine this with any of the more than 110 other ratios and indicators the screener gives you. We have for example found that the Magic Formula can be very successfully combined with six month share price momentum.

Then, using the slider, select the range of companies you want to select. In the image below the 20% of companies with the best Magic Formula ranking will be selected.

### Select the countries you invest in

Your next step is to select the countries where you would like to invest.

### Select traded volume and company size

The last thing for you to do is select the minimum traded value and company size you want the screener to look for.

### Get your list of Magic Formula companies

If you then click the Filter button the screener will give you a list of the best Magic Formula companies that meet all the above criteria you have selected.

This is an example of a Magic Formula list of companies:

*Click to enlarge image*

**PS** To find Magic Formula investment ideas in the countries you invest in (for less than an inexpensive lunch for two) click here: Join today

**These Magic Formula articles may also interest you:**

Does the Magic Formula also work in Belgium, Luxembourg and the Netherlands?

A better alternative to the Magic Formula?

Investment strategy tested: Magic Formula investing & 6 month Price Index

How to get the best returns with Magic Formula investing

Please note: This website is not associated with Joel Greenblatt and MagicFormulaInvesting.com in any way. Neither Mr Greenblatt nor MagicFormulaInvesting.com has endorsed this website's investment advice, strategy, or products. Investments recommendations on this website are not chosen by Mr. Greenblatt, nor are they based on Mr Greenblatt's proprietary investment model, and are not chosen by MagicFormulaInvesting.com. Magic Formula® is a registered trademark of MagicFormulaInvesting.com, which has no connection to this website