## How to Combine Value and Momentum Investing Strategies

We are probably most well known for our quantitative value investing strategies. The heart of our strategy is detailed in Wes' book, Quantitative Value (a reader's digest version is here). In the development of the Quantitative Value system there is no mention of the concept of "momentum investing," which is a well-established empirical anomaly in the academic finance literature and a topic we cover extensively on the blog. And don't get us wrong, even though we are value-investing fans, we are also huge fans of momentum investing. We have a book on that subject as well (Quantitative Momentum) But that begs a question that we have heard many times over via our readership:Why don't you include momentum in your value investing process?This is a great question and one we will answer publicly for the first time. Many are familiar with the evidence that value and momentum investment strategies have beaten the market, historically. And the low historical correlation between value and momentum suggests there is a benefit to combining these portfolios. So why don't we include momentum in our value investing strategy? Well, there are a few ways to skin the value and momentum cat:

- One solution is to combine the exposures as seperate portfolios: part pure value; part pure momentum.
- Another solution is to "blend" the exposures into a single strategy: an integrated value and momentum system that weighs value and momentum factors and then holds firms with the highest combination.

*relatively better*than option #2.

## Why are pure value and momentum exposures better?

The evidence suggests that we keep highly active exposures to value and momentum in their purest forms (assuming we are doing high-conviction non-watered down versions of the anomalies). Blending the strategy dilutes the benefit of value and momentum portfolios. The summary of the benefits of a pure value and a pure momentum approach can be summarized as follows:**Easier ex-post assessment**- E.g., if we mix and match value/momentum it is more difficult to identify the drivers of performance after the fact.

**Stronger portfolio diversification benefits.**- Pure value and pure momentum strategies have lower correlations than "blended" versions.

**Stronger expected performance.**- Running pure value and pure momentum in highly active forms generates higher expected performance than blended systems.

### The Set-up

First, let's set up the experiment. We will examine all firms above the NYSE 40th percentile for market-cap (currently around $1.8 billion) to avoid weird empirical effects associated with micro/small cap stocks. We will form the portfolios at a monthly frequency with the following 2 variables:**Momentum**= Total return over the past twelve months (ignoring the last month)**Value**= EBIT/(Total Enterprise Value)

**EBIT VW**= Highest decile of firms ranked on Value (EBIT/TEV). Portfolio is value-weighted.**MOM VW**= Highest decile of firms ranked on Momentum. Portfolio is value-weighted.**Universe VW**= Value-weight returns to the universe of firms.**SP500**= S&P 500 Total return

**Takeaways:**

- The universe of stocks is similar to the SP500.
- The top decile of Value and Momentum outperformed the index over the past 50 years.
- There is a rather low correlation of 0.5301 between Value and Momentum.
- Momentum has stronger returns than value, but much higher volatility and drawdowns. On a risk-adjusted basis they are similar.

### The Test: Blended Value and Momentum vs. Pure Value and Momentum

The low correlation between value and momentum suggests there is a benefit to combining these historically high-performing portfolios. There are a few ways in which an investor can attempt to exploit these anomalies:- One solution is to combine them as seperate portfolios: part pure value; part pure momentum.
- Another solution is to "blend" the exposures into a single strategy: an integrated value and momentum system that weighs value and momentum factors and then holds firms with the highest combination.

**EBIT VW**= Highest decile of firms ranked on Value (EBIT/TEV). Portfolio is value-weighted.**MOM VW**= Highest decile of firms ranked on Momentum. Portfolio is value-weighted.**COMBO VW**= Rank firms independently on both Value and Momentum. Add the two rankings together. Select the highest decile of firms ranked on the combined rankings. Portfolio is value-weighted.**50% EBIT/ 50% MOM VW**= Each month, invest 50% in the**EBIT VW**portfolio, and 50% in the**MOM VW**portfolio. Portfolio is value-weighted.

**Takeaways:**

- The combination portfolio performs worse than a 50% allocation to Value and a 50% allocation to Momentum. This statement is driven by an analysis of CAGR, Sharpe and Sortino ratios.
- The combined ranked portfolio outperforms the index over the same time period--not a "bad" portfolio construct by any means.
- The 50% pure value and 50% pure momentum portfolio has the highest risk-adjusted returns across all portfolios.
- In addition, we find similar results when equal weighting portfolios.

## Summary

Overall, the evidence suggests that a blended strategy, which combines Value and Momentum into a single unified process, is worse than allocating 50% of your capital to a pure value investing fund, and 50% to a pure momentum investing fund. This may have implications for how investors allocate to value and momentum anomalies. Of course, one must consider that we have only analyzed simple value and simple momentum strategies. Perhaps there are more sophisticated techniques to make "blended" val/mom better than allocations to pure value and momentum. Some evidence from other authors finds conflicting evidence. We've done our own extensive testing reconciling the various findings, and we think the analysis above highlights in a SIMPLE way that combo portfolios are relatively better than blended portfolios. That said, we are open to additional input and testing from the broader research community.## How to Combine Value and Momentum Investing Strategies (Part 2/2)

In the prior section I wrote about ways to combine value investing and momentum investing. The high level takeaway from that article was to keep value and momentum as separate exposures. This conclusion was based on ranking firms on their*value and momentum rankings, which can be described as follows:*

**combined**- Rank all stocks on value
- Rank all stocks on momentum
- Average the ranks

**rankings affect returns. Sequential ranking can be described as follows:**

*sequential*- Rank all stocks on value
- Within value, rank on momentum
- Buy cheap stocks with the highest momentum
- Repeat steps 1-3 but start with momentum and then value (so you end up buying the highest momentum stocks that are the cheapest)

### Value Investing Portfolio Set-up:

First, let's set up the experiment. We will examine all non-financial firms above the NYSE 40th percentile for market-cap (currently around $1.8 billion) to avoid weird empirical effects associated with micro/small cap stocks. We will form the portfolios at a monthly frequency with the following 2 variables:**Momentum**= Total return over the past twelve months (ignoring the last month)**Value**= EBIT/(Total Enterprise Value)

**EBIT Decile EW****MR**= Highest decile of firms ranked on Value (EBIT/TEV). Portfolio is equal-weighted and rebalanced monthly.**EBIT (19/20) EW MR**= Split the top decile ranked on Value in two. Keep the the 90%-95% cheapest firms (EBIT/TEV). Portfolio is equal-weighted and rebalanced monthly.**EBIT (20/20) EW MR**= Split the top decile ranked on Value in two. Keep the the 95%-100% cheapest firms (EBIT/TEV). Portfolio is equal-weighted and rebalanced monthly.**SP500****EW**= S&P 500 equal-weight Total return

### Value Investing Portfolio Results:

**Takeaways:**

- Value investing has outperformed over the past 41 years.
- Breaking down the top decile into 5% buckets does not improve returns. Deep value works, but over-concentration in cheap stocks simply adds risk, but not return.

### Momentum Investing Portfolios Set-up:

The simple Momentum Investing portfolios are formed monthly as follows:**MOM Decile EW****MR**= Highest decile of firms ranked on Momentum. Portfolio is equal-weighted and rebalanced monthly.**MOM (19/20) EW MR**= Split the top decile ranked on Momentum in two. Keep the the 90%-95% highest Momentum firms. Portfolio is equal-weighted and rebalanced monthly.**MOM (20/20) EW MR**= Split the top decile ranked on Momentum in two. Keep the the 95%-100% highest Momentum firms. Portfolio is equal-weighted and rebalanced monthly.**SP500****EW**= S&P 500 equal-weight Total return

### Momentum Investing Portfolio Results:

**Takeaways:**

- Momentum investing has outperformed over the past 41 years.
- Buying the "highest" momentum stocks (top 5%) has marginal effects (higher CAGR, lower Sharpe ratios).

### Combining Value and Momentum:

Here we want to combine Value and Momentum by sequentially sorting on the two variables.### Split the Momentum Decile by Value.

Specifically, here are the 4 portfolios we will examine:**MOM Decile, high EBIT EW****MR**= Highest decile of firms ranked on Momentum, then split on Value (EBIT/TEV). We keep the top half when sorted on Value. Portfolio is equal-weighted and rebalanced monthly.**MOM Decile, low EBIT EW MR**= Highest decile of firms ranked on Momentum, then split on Value (EBIT/TEV). We keep the bottom half when sorted on Value. Portfolio is equal-weighted and rebalanced monthly.**MOM (20/20) EW MR**= Split the top decile ranked on Momentum in two. Keep the the 95%-100% highest Momentum firms. Portfolio is equal-weighted and rebalanced monthly.**SP500****EW**= S&P 500 equal-weight Total return

### Momentum (and then Value) Investing Portfolio Results:

**Takeaways:**

- Taking the top decile on Momentum and splitting on Value (EBIT/TEV) improves Sharpe and Sortino ratios (Comparing Column 1 to Columns 2 and 3).
- On a CAGR basis, the best bet is simply buying the top 5% of firm on Momentum.

**Overall, this sequential sort (Momentum and then Value) does not drastically improve simple Momentum Investing returns.**

### Split the Value Decile by Momentum.

Specifically, here are the 4 portfolios we will examine:**EBIT Decile, high MOM EW****MR**= Highest decile of firms ranked on Value (EBIT/TEV), then split on Momentum. We keep the top half when sorted on Momentum. Portfolio is equal-weighted and rebalanced monthly.**EBIT Decile, low MOM EW MR**= Highest decile of firms ranked on Value (EBIT/TEV), then split on Momentum. We keep the bottom half when sorted on Momentum. Portfolio is equal-weighted and rebalanced monthly.**EBIT (20/20) EW MR**= Split the top decile ranked on Value (EBIT/TEV) in two. Keep the the 95%-100% cheapest firms. Portfolio is equal-weighted and rebalanced monthly.**SP500****EW**= S&P 500 equal-weight Total return

### Value (and then Momentum) Investing Portfolio Results:

**Takeaways:**

- Taking the top decile of Value firms and splitting on Momentum improves returns in general. This improves the CAGR, Sharpe and Sortino ratios (Comparing Column 1 to Columns 2 and 3).
- Results are similar to other studies.

*However, such a strategy does require frequent rebalancing, as momentum works best if rebalanced more frequently. This will cause higher transaction costs relative to a long-term buy-and-hold Value strategy. So an obvious question is the following --*

**Overall, it appears that splitting Value by Momentum is a good strategy to follow!**

**Why don't we integrate momentum in to our Quantitative Value strategy?****The answer is simple:**momentum doesn't increase QV performance, in expectation. Below, we explain why we do not incorporate momentum into our value algorithm.

### Quantitative Value Index Universe Results:

Here we examine how splitting a Value portfolio by Momentum compares to the Quantitative Value results. As explained here, the Quantitative Value process involves 5 steps. Step 4 requires us to sort firms based on their quality. However, what happens if we replace this step and sort firms by their past Momentum? We answer this below. It is important to understand that the universe for the results above is slightly different than the results below, as the Quantitative Value process requires firms to have 8 years of data (which is not required above). Specifically, here are the 4 (annually rebalanced) portfolios we will examine:**QV EW**= Portfolio formed using the Quantitative Value process. Portfolio is equal-weighted and rebalanced annually.**QV (High MOM) EW**= Portfolio formed using the first three steps of the Quantitative Value process. However, step 4 is changed to pick the top half of firms ranked on Momentum. Portfolio is equal-weighted and rebalanced annually.**QV (Low MOM) EW**= Portfolio formed using the first three steps of the Quantitative Value process. However, step 4 is changed to pick the bottom half of firms ranked on Momentum. portfolio is equal-weighted and rebalanced annually.**SP500****EW**= S&P 500 equal-weight Total return

### Quantitative Value Index Investing Portfolio Results (Annual Rebalance):

**Takeaways:**

- Similar to the results above, splitting the top 10% Value firms by Momentum is a good strategy (Comparing Column 2 to Column 3).
- However, splitting firms by
and keeping the top half (QV EW) is optimal when comparing CAGRs, Sharpe and Sortino ratios.**quality** - These portfolios are highly correlated.

**QV EW****MR**= Portfolio formed using the Quantitative Value process. Portfolio is equal-weighted and rebalanced monthly.**QV (High MOM) EW MR**= Portfolio formed using the first three steps of the Quantitative Value process. However, step 4 is changed to pick the top half of firms ranked on Momentum. Portfolio is equal-weighted and rebalanced monthly.**QV (Low MOM) EW MR**= Portfolio formed using the first three steps of the Quantitative Value process. However, step 4 is changed to pick the bottom half of firms ranked on Momentum. portfolio is equal-weighted and rebalanced monthly.**SP500****EW**= S&P 500 equal-weight Total return

### Quantitative Value Index Investing Portfolio Results (Monthly Rebalance):

**Takeaways:**

- Rebalancing the Value portfolios monthly increases returns. This has been found in other studies. However, this should increase trading costs (which are not included here), and does increase drawdowns.
- Similar to the results above, splitting the top 10% Value firms by Momentum is a good strategy (Comparing Column 2 to Column 3).
- However, splitting firms by quality and keeping the top half (QV EW MR) is optimal when comparing CAGRs, Sharpe and Sortino ratios.