As I have been discussing in a series of articles (which you can find here, here and here), we now have a substantial body of evidence demonstrating that individual investors possess a preference for low-priced equities. This is anomalous behavior, because the level of a company’s stock price is

Time for a little myth busting. Recently, the Motley Fool posted an article that argued the following: when market volatility is low, protective put options are cheap. From the article: Smart investors know that the time to buy most investments is when most investors aren’t paying attention to

Much has been written about the Post-Earnings Announcement Drift (PEAD) strategy (see, for example, my book), but less was written about pre-earnings announcement strategies. That changed recently with the publication of two papers. Just as with PEAD, these pre-announcement strategies do not make

In this post i take an R-view of “Backtesting – Harvey & Liu (2015).” The authors propose an alternative to the commonly practiced 50% discount that is applied to reported Sharpe ratios when evaluating backtests of trading strategies. The reason for the discount is due to the inevitable

For today’ s post and the next few I’ll be going back to my favorite topic, quant investing. In this post I want to explore pure momentum quant portfolios and in particular ways to make pure momentum investing tolerable and implementable to more investors. Note: for a refresher on momentum and

I have done several posts about trading XIV & VXX. In these posts (here, here and here) I refer to using synthetic data before these ETFs started trading. I supported the use of the data due to the very high correlation of daily returns during the overlap period. With a correlation of .97, I

Jack and I had the honor of attending the Evidence-Based Investing conference, hosted by the team at Ritholz Wealth Management. Wow. What a great event and a great group of inspiring investors and thinkers. Abe, Meb, John, Mike, and I had the opportunity to chat about systematic investing. Mr.

Using a transaction cost model, and an assumption for the smart beta premium observed in data, we estimate the capacity of momentum, quality, value, size, minimum volatility, and a multi-factor combination of the first four strategies. Flows into these factor strategies incur transaction costs. For

Many traders who managed to design and implement a mean reversion system ‘correctly’ made a fortune. Fact is that financial markets move in patterns and especially in cycles. In simple words everything that goes up must come down and everything that goes down must come up. Nothing moves in one

Does this graph look like a kid’s drawing? Maybe a piece of art from the monkey Jeff? No, of course Jeff draws better than this. Actually, it is a representation of what is known as a Lévy flight, a mathematical concept that shows up in nature, marketing, cryptography, astronomy, biology, physics

As an investment strategy, momentum focuses solely on prior returns. Being valuation agnostic, however, does not mean that a momentum strategy does not have first-order valuation effects on portfolio construction. Using historical US sector data, we find that both cross-sectional and time-series

Over the past several decades, academics have identified numerous variables that seem to predict future expected returns. This has led to a proliferation of so-called “factors” identified in the literature, and created what John Cochrane has labeled the “factor zoo.” Now we we have a zoo of

While it is well known that risk parity strategies typically allocate more weight or apply leverage to asset classes with lower risk, it is not well understood how higher volatility affects the Sharpe ratios exhibited by the assets that get over- or under- weighted. We find that in practice the

Sometimes I read academic literature, and often times those papers contain some proofs. I usually gloss over some innocent-looking assumptions on moments’ existence, invariably popping before derivations of theorems or lemmas. Here is one among countless examples, actually taken from Making and

The performance profile of Mean Reversion is extremely desirable to a lot of traders. Mean reversion trading strategies can produce high win rates and a smooth equity curve, however there are risks, which can result in giving back a large portion of profits, or of your trading account, some times in

The table below, taken from the newly released book I co-authored with Andrew Berkin, “Your Complete Guide to Factor-Based Investing,” shows the annual premium and Sharpe ratio for the equity factors of market beta, size, value, momentum, profitability and quality. It also shows the odds that

In this post, we will explore a feature of Python pandas package. We usually find queries about converting tick-by-tick data into OHLC (Open, High, Low and Close) frequently. This can be accomplished with minimal effort using pandas package. The OHLC data is used for performing technical analysis of

At a time when demand for income generating assets is at an all-time high, the yields on income generating assets are at, or near, all-time lows. While the headlines often speak to the number of Baby Boomers entering retirement, the more important statistic is actually the amount of wealth entering

A quick look at annual returns over the 100+ years of daily percent change (close to close) data that we have on dow jones 1 2 3 4 5 6 7 import matplotlib.pyplot as plt import pandas as pd import numpy as np import datetime dj = local_csv("DjiaHist.csv", date_column = "Date",

This post will address what pairs trading is, how you can test for a pairs trading opportunity, and how to implement a pairs trading strategy. For information on the libraries I’ve used and how I structured my trading methods, I recommend starting with my previous post on the subject. Pairs

One of the TAA strategies that I have often been asked about is Antonacci’s Composite Dual Momentum (ACDM from now on). I never got around to tracking or writing about it but now the the folks at Allocate Smartly have it covered. In this post I’ll highlight the key details of the strategy and

Since my last post on the currency strength indicator I have been conducting a series of basic randomisation tests to see if the indicator has better than random predictive ability. The first test was a random permutation test, as described in Aronson's Evidence Based Technical Analysis book,

Research Affiliates has been churning out some great content lately. In their recent piece titled “Timing “Smart Beta” Strategies? Of Course! Buy Low, Sell High!” they examine some value based factor rotation strategies. Namely, they examined rotating among the factors that had the worst

If you want long-term outperformance, you must be able to stomach short-term underperformance. As William Bernstein said, “The most important investment ability is an emotional discipline.” Investing is a team sport that requires this discipline from both the investment manager (to stick to his

The results from last month’s trend following index were only slightly negative, which is quite surprising as most of other indices were sharply down, including The Wisdom Trading State of Trend Following report, which I write as a version 2 of this report. The principles for the index are the

I wanted to send you this article shortly after the end of the third quarter 2016 but, like a lot of things, it slipped my mind. What has worked in 2016 – value is not dead I will get right to the point about what strategy would have given you the best return so far in 2016. Here is a short

A picture is worth a thousand words or said a wise woman a hundred years ago. True to every word of the idiom, the beauty of visualization lies in how clearly it might convey multiple messages. Visualization of data is one of the key functions of a data scientist and decoding the visual messages is

Measuring Factor Exposures: Uses and Abuses Ronen Israel and Adrienne Ross (AQR Capital Management) September 19, 2016 A growing number of investors have come to view their portfolios (especially equity portfolios) as a collection of exposures to risk factors. The most prevalent and widely harvested

Election year is shaping up to be a bad year for trend following. October saw the State of Trend Following index post another successive down month. The current drawdown is still within the limits of the max value from the historical back-test run, but the Year-To-Date performance is now well into

Principal Component Analysis (PCA) is a technique used to reduce the dimensionality of a data set, finding the causes of variability and sorting them by importance. >How? If you have a set of observations (features, measurements, etc.) that can be projected on a plane (X, Y) such as: DataSet

CAPM was the first formal asset pricing model. Market beta was its sole factor. With the 1992 publication of their paper, “The Cross-Section of Expected Stock Returns,” Eugene Fama and Kenneth French introduced a new-and-improved three-factor model, adding size and value to market beta as

This is a test of Gary Antonacci’s “Composite Dual Momentum” strategy from his seminal paper: Risk Premia Harvesting Through Dual Momentum. The model uses Antonacci’s unique approach to measuring momentum, which considers both absolute (aka time-series) and relative (aka cross-sectional)

On this episode, I have our very first guest from China; Derek Wong—he is the Director of Systematic Trading and Options at a private fund in Shanghai. Initially though, Derek got his start in the agricultural pits at the CBOT, then following on from this, he’s worked at various quant shops in

Most factor-based, otherwise known as Smart Beta, ETF strategies are based on a single concept like value or momentum. Over the last two years, the largest flows have been to ETFs investing in low volatility stocks. The most popular being the iShares Edge MSCI Min Vol USA ETF (USMV), which as of

A determination of peaks and troughs for any financial time-series seems to be always in high demand, especially in algorithmic trading. A number of numerical methods can be found in the literature. The main problem exists when a smart differentiation between a local trend and “global” sentiment

This study documents that earnings announcements serve as a reality check on short-term, fear and greed driven price development: stocks with extreme abnormal returns in the week before an earnings announcement experience strong price reversal around the announcement. A trading strategy that

At Alpha Architect, we are big fans of Value investing (and Momentum). In the past, Wes and I examined which valuation measure had the largest spread between Value and Growth firms. The evidence showed (updated results here) that Enterprise Multiples had the largest spread between Value and Growth

Benjamin Graham famously said that "In the short run, the market is a voting machine but in the long run, it is a weighing machine." But this is not quite correct. Rather, in the short term, the market is a machine where investors "vote" about what the market will

As I wrote about last week, the absolute level of a firm’s stock price is arbitrary, as it can be easily manipulated by the firm through altering the number of shares outstanding (for example, by splitting the stock). Despite this obvious fact, the research into investor behavior has found a

This is a summary of the recent performance of a number of excellent tactical asset allocation strategies. These strategies are sourced from books, academic papers, and other publications. While we don’t (yet) include every published TAA model, these strategies are broadly representative of the

The power of strategic asset allocation is best harnessed when future asset class behavior is relatively certain and diversification opportunities abound. Uncertainty around rising rates and the current monetary policy environment may call both of these criteria into question. Holding all else

A sophisticated DFA-focused advisor asked us to conduct some research on the following question: Are there additional portfolio diversification benefits to combining concentrated portfolios of value and momentum stocks relative to combining less concentrated portfolios of value and momentum stocks?

This is the first post in a two-part series about the Hurst Exponent. Tom and I worked on this series together, but the awesome code presented throughout is all his. Thanks Tom! Mean-reverting time series have long been a fruitful playground for quantitative traders. In fact, some of the biggest

There are a number of different aspects to trading that we really need to get a handle on to increase our odds of success. Some aspects we often put a lot of thought and analysis into, and others we may not consider so carefully or at all, which could be impacting our trading results without us even

One of us (Marcos Lopez de Prado) has published the article Mathematics and economics: A reality check in the Journal of Portfolio Management. The article is open-access — there is no fee for viewing or downloading. Lopez de Prado argues that while economics is arguably one the most mathematical

Over the last few weeks I have been looking into creating a currency strength indicator as input to a Nonlinear autoregressive exogenous model. This has involved a fair bit of online research and I have to say that compared to other technical analysis indicators there seems to be a paucity of pages

It has historically paid to be a seller of volatility for at least two reasons... 1) Volatility is typically overpriced relative to realized volatility The chart on the left shows the VIX index (predicted volatility) relative to the forward realized volatility of the S&P 500, while the chart on

My recent research has been on the volatility Exchange Traded Products. My focus has been on long trades using VXX and XIV. Although VXX has a very strong downtrend, I am not a fan of developing short strategies on it due to the huge upside risk. I wrote about XIV here and expressed some of the

While Interactive Brokers provide arguably the most extensive retail-level API available for trading, the software is quite frustrating to work with. Rather than IB offering you an API endpoint on their server to interact with, you must run their Gateway or TWS program on your host and interact with

We receive multiple requests from readers looking to break into the finance industry. Quite often the reader is currently working in a traditional engineering job and looking to make a career switch. The question we often hear is “How does an engineer become a quantitative finance geek?” To