Russell 3000 and the Cap-Weight opt-out

At first, the US Russell 3000 Value index (RAV) out-performed Growth (RAG) for over 6 years. Then 2008 happened and everything got crushed. Since then, Growth has out-performed Value by a huge margin.
Russell 3000 growth vs. value

Look at the chart closely, however, and you will notice that plain-vanilla cap-weight (RUA) is bang in the middle. Sure, it trailed Growth by about 60% cumulated over 15 years. But equities are only a part of a diversified portfolio and going cap-weight doesn’t require you to choose between Growth and Value – an endless debate that even academics are divided over. Cap-weight is good enough.

Besides, Growth out-performed Value by a noticeable margin in only 4 out of 15 years. Otherwise, the returns have been more or less on par:
Russell 3000 growth vs. value annual returns

There will always be debate over which strategy is “better” but sometimes, given a choice between Chocolate Chip and Very Berry Strawberry, picking Vanilla and sticking with it over the long haul makes the most sense.

Book Review: Radical Markets

In Radical Markets – Uprooting Capitalism and Democracy for a Just Society (Amazon,) the authors propose a number of “radical” ideas to fix democracy and capitalism. It is a riveting read, especially if you find the current system lacking in a number of areas.

Two ideas that stood out:

  1. To fix corruption in property assessments for taxation, allow owner self-assessments, publish those prices and allow anybody to pay that price to the owner and occupy the property. Radical but effective!
  2. Get rid of one-person-one-vote by allowing people to trade their “voice credits.” The buyer of these voice credits owns a square-root of those may votes. For example, if someone is very passionate about building a steel fly-over, they can start buying these VCs from citizens who are indifferent to it. A 100 such VCs translate to 10 votes in favor. This can then be defeated by 11 individual voters who cast one vote each. A near perfect solution to make sure that minority voices are not swamped by majoritarian rule while still making sure that the majority carries!

Some of the ideas around trading VCs and voting mechanisms can be implemented within smaller groups – apartment building associations, for example – right away. However, the ideas around immigration might never see the light of day. The book is worth a read even if you are not looking for radical ideas – the authors set the current problems that our systems face in their historical context.

The logical end point of institutional investment and diversification is the coordination of all capital to extract maximum wealth from consumers and workers.
A simple but Radical reform can prevent this dystopia: ban institutional investors from diversifying their holdings within industries while allowing them to diversify across industries.

Recommendation: Must Read!

S&P 500 SMA Regimes

In the post Mixture model over S&P 500 returns, we looked at how mixture models can be used to classify returns as belonging to “bull” or “bear” regimes. Unfortunately, we found that using it to trade the index itself was a losing proposition. This lead us to ask ourselves whether a mixture model was any better than a simple moving average based classifier.

Daily returns

If we split returns that occur over different moving averages (50-, 100-, 200-days) and plot their densities, we can see how losses are more frequent when the index is trading below some moving average:
S&P 500 simple moving average returns density plot

Avoiding being long the index when it is trading below a moving average seems to be a good idea. And a quick back-test shows the 200-day average is the one to watch:
S&P 500 long-only SMA returns

All the moving-average “systems” above out-performed the mixture-model based system.

Take-away

Simple beats complex, most of the time.

Code and charts are on github.

Mixture model over S&P 500 returns

Market returns have different characteristics depending on whether they are in a “bull” phase or a “bear” phase. Daily returns can be labeled as either belonging to the “bull” camp or the “bear” camp using mixture models. This post extends Eran Raviv’s idea described here.

Rolling vs. whole period analysis

The density plot of daily returns of the distributions fit by the mixture model using the entire data-set of daily returns looked promising. There was a very visible difference in the way returns behaved under the two regimes. However, rolling period analysis hews closer to the real world. And the densities don’t look as pretty:
density plot of returns in stable and unstable regimes

Sure, “unstable” or “bear” regimes have slightly fatter tails but the densities are not as different as they appeared to be in the whole-period analysis.

Another gotcha is that when the regimes are superimposed on the S&P 500 price index, it looks like it could be good idea to use this system to trade it:
S&P 500 regimes
1 (blue) => stable

Timing signal?

It looks like the model helped escape most of the 2008 carnage and the “stable” regime looks to be long most of the up-trends. However, the overall return profile is sub-par when used in a systematic trading strategy:
S&P 500 cumulative returns

Take-away

Mixture models are an interesting tool in the quant tool-box. However, like how using skew as a timing signal appeared to be a good idea on the face of it, it turns out that using mixture models to time trades in a linear fashion is not such a good idea.

Code and charts on github.

Momentum, Growth and Market-cap Weighted

Momentum and growth investing are not the same and investing in a market-cap weighted index is not the same as momentum investing.

Momentum Investing

One-liner: A portfolio that is long the stocks that have gone up in price over the last one year will out-perform the market.

There are a number of ways to measure price appreciation. Mainly:

  1. Relative: Compare how price has appreciated in comparison to the market. Rank from largest to smallest.
  2. Absolute: Rank returns from largest to smallest.
  3. Acceleration: Compare how price has appreciated in the last 6-months vs. how price appreciated in the prior 6-month period. Rank from largest to smallest.

The one-year formation period is by no means carved in stone. Some portfolios measure momentum over different time-periods and blend them together.

Additionally, the following preference overlays can be applied:

  1. Stocks with lesser volatility.
  2. Stocks that rise up in price gradually (linear) over ones that have gone up like a hokey stick (parabolic.)
  3. Liquid stocks over illiquid ones to reduce trading frictions.
  4. A trailing stop-loss over strict scheduled rebalancing to manage stock-specific risk.

Growth Investing

One-liner: A portfolio that is long the stocks whose earnings have grown at an above-average rate relative to the market will out-perform the market.

There are number of ways to measure earnings growth. Mainly:

  1. Total sales: Compare this year’s revenue over previous years’.
  2. EBITDA: Compare this year’s operating performance over previous years’.
  3. EPS: Compare this year’s earnings per share over previous years’.

All these measures involve gotchas. For example, any of the following actions taken by the company will boost revenue:

  1. Increase the asset base – setup a new factory.
  2. Increase leverage – take on more debt/buy-back stock.
  3. Compromise on margins – lower prices.

Also, there could be temporary structural shocks – natural disasters/policy shifts – that takes out supply/boosts short-term demand for a company’s/sector’s products.

Market-cap Weighted

One-liner: A committee meets every six months and creates a basket of stocks primarily based on their market cap (number of shares outstanding x price.) This basket defines the market.

Passive investors invest in such a basket through index funds or ETFs and get on with their lives.

The long-arch

All investment strategies have their day/year/decade under the sun and neither are necessarily “better” than the other. It depends on the investor’s task at hand. As an analogy, whether you use a flat-head or a Phillips screw is all nuance when compared to task at hand: screwing. But it is important to know the difference between these investing approaches and not get confused between them.