How Much Can Dual Momentum Increase Your Investment Returns? by Tim du Toit, Quant Investing

I am sure you have already heard of momentum but have you ever heard of dual momentum?

Neither have I until I read a very interesting book by Gary Antonacci called Dual Momentum Investing: An Innovative Strategy for Higher Returns with Lower Risk.

About Gary Antonacci

Gary Antonacci is an interesting guy and has been around investing for a long time.

He has a Harvard MBA and over 35 years of experience researching, developing, and using ignored investment strategies that have their basis in academic research, similar to what we also here at Quant Investing.

Gary is an expert on the practical applications of momentum investing and his research on momentum won first place in 2012 and second place in 2011 of the prestigious Wagner Awards for Advances in Active Investment Management given annually by the National Association of Active Investment Managers.

You can read more about Gary on his website called Optimal Momentum.

The idea behind the dual momentum

Momentum is based on the scientific idea that a body in motion tends to stay in motion. And in terms of investing momentum is the movement of a company’s share price which can be either up (positive momentum) or down (negative momentum).

We like momentum

If you have read the research report Quantitative Value Investing in Europe: What Works for Achieving Alpha you know that (contrary to what we believed) we discovered that momentum works as it formed part of all the best investment strategies we tested.

You can read more about the best strategies here: Quant-Investing strategies.

What about momentum losses?

The type of momentum we found that works is called relative momentum and to calculate it you have to compare the movement of one company’s share price to the share price movements of other companies.

Buying the most undervalued companies with the best relative momentum gives you market beating returns but it does not help you to reduce volatility (large up or down share price movements) or large falls in share prices.

What is absolute momentum?

Momentum, however, also works well on an absolute basis and it helps you reduce large losses.

To find a company’s absolute momentum, you compare the movement of its share price with the return of a short term government bond (in the book Gary uses US Treasury bills) over a certain period.

If the share price return minus the return of a short term government bond, called excess return, is greater than zero, then the company has positive absolute momentum.

Relative and absolute momentum differences

In an August 2013 interview with Gary on the MyPlanIQ website Gary explained absolute and relative momentum like this:

“Relative momentum looks at price strength with respect to other assets. It is like being on a train, then hopping on to a faster one that comes along.

Absolute momentum looks at an asset’s own positive excess return over a given time period. If the train you are on starts going backwards and there are no other trains moving in the right direction, you step off on to the platform.”

Source: MyPlanIQ Interview with Gary Antonacci on Momentum Based Investing

Dual momentum

Dual momentum is the combination of relative and absolute momentum.

It is possible for a share price to have positive relative momentum if it is strong relative to its peers and negative absolute momentum if its own trend has been down. Similarly, it can also have positive absolute momentum if its trend has been positive and negative relative momentum if another asset has gone up more.

Absolute momentum been neglected

In the book Gary makes an important point that researchers have thoroughly looked at relative momentum but that they have ignored absolute momentum until recently.

And this in spite of the fact that absolute momentum often provides better results and has more flexibility than relative momentum.

This was proven in a 2012 paper called Time Series Momentum by Tobias J. Moskowitz, Yao Hua Ooi and Lasse Heje Pedersen which showed that absolute momentum profits were very consistent across 58 different asset classes and markets?

12-months look back best

In the paper they found a 12-month look-back period had the highest statistical significance (they tested look back periods from 1 to 48 months) when used with a one-month holding period.

In other words they looked at the return of 58 asset (commodity and bond futures, equity indices and currencies)  over the past 12 months and if the return was greater than that of the US treasury bill rate they invested in the asset (went long) and if the return was negative they sold the asset short (went short).

They found that absolute momentum profits were positive for every one of the 58 assets they examined and that returns were largest when stock market returns were the most extreme (both up and down), which means absolute momentum can function as a hedge against extreme events.

Why use dual momentum?

In the book Gary says the best approach to investing is for you to use absolute and relative momentum together so that you make use of the advantages of both.

What look back period to use?

As the majority of academic literature covering both relative and absolute momentum agrees that a 12-month look-back period gives the best performance Gary also suggests that you also use a 12-month look-back period and apply it to both types of momentum.

How to use dual momentum

To do this you first use relative momentum to select the best-performing asset over the preceding 12 months.

You then apply absolute momentum as a trend-following filter by calculating if the excess return (the return of the asses minus the US Treasury bill return) of the selected asset has been positive or negative over the preceding year.

If it is positive, it means its trend is up, and you invest in the asset. If the asset’s excess return over the past year is negative, then its trend is down and you invest in short- to intermediate-term fixed-income instruments until the trend turns positive.
In this way you always invest with the trend of the market.

Look at your investments monthly

Each month you use exactly the same test as above to determine if you should stay invested.

This means if the asset (for example the S&P 500 index) shows a positive excess return (return less the Treasury bill rate) during the past 12 months, you stay invested.

If the prior 12-month excess return is negative, you sell the asset and invest in a short term bond fund.

How well does dual momentum perform?

Gary tested this dual momentum strategy over a 39 year period from October 1974 to October 2013.

This is what he did.

Each month he compared the S&P 500 to the ACWI ex-U.S. over the past year and selects whichever index has performed better. He then looked to see if the selected index has done better than U.S. Treasury bills. If it has, he invested in the index. If not, he invested in the Barclays U.S. Aggregate Bond Index.

He repeated this process every month from October 1974 to October 2013. During this time the strategy spent 41% of its time invested in the S&P 500, 29% in the ACWI ex-U.S., and 30% in aggregate bonds index.

Surprisingly low turnover only 1.4 times per year

Thus on average, there were only 1.35 switches per year between

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