The VIX futures curve reflects expectations of future implied volatility of S&P500 index options. The slope of the curve is indicative of expected volatility and uncertainty relative to volatility and uncertainty priced in the market at present. Loosely speaking, a steeply upward sloped VIX

As a native Philadelphian and huge basketball fan, I fully agree with the 76ers fan’s rally cry — Trust the Process. Even the players, such as Joel Embiid, have echoed the sentiment of the fans: For those not in Philly and not too familiar with the NBA, “Trust the Process” explains the 76ers

Lawrence Hamtil recently shared a Vanguard paper with me that was surprising given it indicated the trailing twelve month price-to-earnings ratio "TTM P/E" was nearly as strong a predictor of forward 10-year equity returns as the cyclically adjusted price-to-earnings "CAPE" ratio

Higher moments such as Skewness and Kurtosis are not as explored as they should be. These moments are crucial for managing portfolio risk. At least as important as volatility, if not more. Skewness relates to asymmetry risk and Kurtosis relates to tail risk. Despite their great importance, those

Momentum trading strategies span a diverse range of trading ideas. Often they will use indicators to determine the recent underlying trend and try to gauge the strength of the trend using measures of the rate of change in the price of the asset. One very simple momentum concept, a strategy in

Most papers in the financial literature estimate the p-value associated with an investment strategy, without reporting the power of the test used to make that discovery. This is a mistake, because a particularly low false positive rate (Type I error) may be achieved at the expense of missing a large

Quantitative Investment Portfolio Analytics In R: An Introduction To R For Modeling Portfolio Risk and Return rolled off the presses earlier today for the first time. The book is currently available as a softback title. Stay tuned for details on an upcoming Kindle version. Meantime, after nearly

The Momentum strategy can be applied to stocks, sectors and countries Sector and country Momentum portfolios generate positive excess returns However, cross sector & country and single stock Momentum portfolios generate higher risk-return ratios INTRODUCTION When a graduate joins the M&A

What are the research questions? The authors propose and test an enhanced Shiller model that incorporates macroeconomic conditions, by modeling real bond yields and volatility, equity volatility and inflation, in a 2 step approach to forecasting equity returns. The underlying thesis is that the

Buffett’s alpha over the past 38 years has been an astounding 10% annualized, making him a prime example of investment discipline and skill. Through a statistical lens, the probability of having a track record this solid is extremely small. However, given enough investors mimicking Buffett’s

I noted a few years ago here on the blog that the week after June options expiration has done especially poorly in recent years. The table below is updated and shows all such weeks dating back to 1999. 2018-06-18 Those are some pretty weak numbers. Below is a 5-day profit curve. 2018-06-18-2 As you

There is often a strong case for hedging FX carry trades against unrelated global market factors. It is usually not difficult to hedge currency positions – at least partly – against global directional risk and against moves in the EURUSD exchange rate. The benefits of these hedges are [1] more

IEX is a relatively new exchange (founded in 2012). For our purposes, what makes them different from other exchanges is they provide a robust FREE API to query their stock exchange data. As a result we can leverage the pandas-datareader framework to query IEX data quite simply. WHY PARQUET?

This study analyzes how the determinants of mutual fund investor cash flows have changed over time, and the associated impact on investor returns. Using data from 1992-2016 we find that investor return-chasing behavior essentially disappeared starting in 2011. Investor flows have become more

There is some popular marketing spin going around that indexing—constructing portfolios based on market-cap weights—is effective because it allows an investor to own more of companies that have been successful and appreciated, while moving away from losers that have been unsuccessful and

In the past, we have examined the following two topics: (1) stock performance & the 52-week high and (2) the investment CAPM. When examining the performance of stocks relative to their respective 52-week high (highlighted by us here), the authors (George and Hwang) find the following: When

Later this month I’ll be publishing my third book: Quantitative Investment Portfolio Analytics In R: An Introduction To R For Modeling Portfolio Risk and Return. Although there are already many R books on the market, this one serves a particular niche: a short guide for recovering Excel addicts

Positive May return for the State of Trend Following, with a YTD performance slightly negative. Please check below for more details. Detailed Results The figures for the month are: May return: 1.48% YTD return: -2.38% Below is the chart displaying individual system results throughout May: StateTF

Last year Quantifiable Edges readers helped me raise over $4000 for Multiple Sclerosis (MS), and this year I am upping the incentive for people to donate! I am happy for any size donation, but I have created 2 donation levels this year so that people are incented to give more: Thank You Level: One

From my time with working with Larry Connors, I have become known for using the 2-Period RSI (RSI2) (Relative Strength Index) in my trading. I have written lots of blog posts that use it and I often use it in my personal strategies. One thing I like to do with indicators that I use frequently is a

This is the sixth in my Hedge Fund Hacks series. In this post, I hammer home how little we know about the expected returns of a hedge fund or a managed futures strategy because we have so little data. You will learn just how large the uncertainty is and what you can do about it. Glimpses Through the

A new video has been produced by the Mathematicians Against Fraudulent Financial and Investment Advice (MAFFIA) group. It explains, in simple terms, how many of the financial strategies and funds available today are based on a statistically dubious foundation, typically rooted in selection bias

Cryptocompare is a platform providing data and insights on pretty much everything in the crypto-sphere, from market data for cryptocurrencies to comparisons of the various crytpo-exchanges, to recommendations for where to spend your crypto assets. The user-experience is quite pleasant, as you can

This post focuses on Chapter 3 in the new book Advances in Financial Machine Learning by Marcos Lopez De Prado. In this chapter De Prado demonstrates a workflow for improved return labeling for the purposes of supervised classification models. He introduces multiple concepts but focuses on the

In this post we will estimate the Hurst exponent using the R/S method. The Hurst exponent determines the long range memory of a time series (more below). If a series has no memory ie if each point in time is independent from previous points in time then its said to be more of a random process.

The paper investigates this issue by answering the following research questions: Are commodities returns positive on average? How do they vary in different economic states (backwardation/contango; expansion/recession periods; unexpected inflation) ? How have they contributed to a broad portfolio?

From 1950 to 2018 the S&P 500 performed best from November to April, and significantly worse from May to October during most years. From 1950-2018 the real annualized return for the S&P 500 was 6.71%. Had one only invested from November to April each year the return would have been 6.60%,

A siren was a mythological being who lured sailors with their enchanting music to shipwreck on the rocky coasts of their island. Their songs were almost impossible to resist. But more generally a “siren” is a bad thing that we are attracted to, either physically or psychologically. For

Value investing continues to experience a trough of sorrow. In particular, the traditional price-to-book factor has failed to establish new highs since December 2006 and sits in a 25% drawdown. While price-to-book has been the academic measure of choice for 25+ years, many practitioners have begun

Skewness is a feature of stocks with high firm-risks Stocks with positive or negative skewness outperform the market Can partially be explained by the Size factor INTRODUCTION Many investors started their investment career at an early age, typically buying a stock that showed an enticing performance

We believe there are cause and effect relationships in the world — and in investing — that hold true over time. Many are common sense and easily observable – like fire creates smoke – while others are harder to see and understand. With factor investing, true relationships can be hard to see

FX forward-implied carry is a valid basis for investment strategies because it is related to policy subsidies and risk premia. However, it also contains misdirection such as rational expectations of currency depreciation. To increase the signal-noise ratio FX carry should – at the very least –

Since I was a young lad there has been an ongoing fight in Financial Academia 'n' Industry between two opposing camps: In the red corner are the Utilitarians. The people of classical finance, of efficient frontiers, of optimising for maximum return at some level of maximum risk. In the

Following on from my previous post I have now slightly changed the logic and coding behind the idea, which can be seen in the code snippet below Essentially the change simultaneously optimises, using Octave's fminunc function, for both the gold_x and all currency_x geometric multipliers

Recently, Wes pointed me to this interesting paper by David Rapach, Jack Strauss, Jun Tu and Guofu Zhou: “Dynamic Return Dependencies Across Industries: A Machine Learning Approach.” The paper presents a strategy that forecasts industry returns and shows excellent historical returns. In this

This is a summary of the recent performance of a wide range 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

One interesting study that I discussed in last night’s subscriber letter considered the fact that SPY left an unfilled upside gap for the 2nd day in a row while closing at a 50-day high. The results table I shared can be found below. 2018-06-05 The size of the follow-through isn’t terribly

Currency hedging is often approached with an all-or-nothing mentality: either full hedging of all foreign exchange (FX) positions or no hedging at all. As a more nuanced alternative, we suggest systematically harvesting the benefits of the FX style factors carry, value and momentum. In particular,

At Robot Wealth we get more questions than even the most sleep-deprived trader can handle. So whilst we develop the algo equivalent of Siri and brag about how we managed to get 6 hours downtime last night, we thought we’d start a new format of blog posts — answering your most burning questions.

Seasonality is an effect that shows up in data but is difficult to justify from a theoretical perspective using behavioral, risk-based, or structural reasoning. However, diving deeper into the effect within the U.S. sectors, we find that seasonality has been economically significant and surprisingly

What are the research questions? Does the Fama-French “size” factor explain the cross-section of stock returns in the Chinese A-share market? Does the Fama-French “value” factor explain the cross-section of stock returns in the Chinese A-share market? What are the Academic Insights? YES. The

With a million dollars to invest today, would you rather buy a portfolio of New York City taxi medallions or shares in Uber stock? When we ask investing audiences this question, the answer is almost always Uber. People tend to think in terms of fundamental growth without also thinking about price.

Equity multiples have been elevated in recent years Using valuation multiples for allocation decisions is a challenging strategy Momentum and volatility-based strategies are more attractive INTRODUCTION In recent years the stock market in the US has been expensive on a variety of valuation

This article is the final project submitted by the author as a part of his coursework in Executive Programme in Algorithmic Trading (EPAT™) at QuantInsti®. Do check our Projects page and have a look at what our students are building. About the Author Xing Tao is a Bachelor in Computer Science

I had the pleasure to hang out with the good folks over at Resolve Asset Management recently. Part of our discussion centered around the differences between our two worlds. As you can imagine, prop trading is fairly different from institutional asset management. A topic of particular interest to

In Financial Risk Management the most challenging part for quantitative modeling is, beyond any doubt, the Operational Risk (Ops Risk). It is defined as the risk of loss resulting from inadequate or failed internal processes, people and systems or from external events. This definition includes legal

Over the past decades developed market exchange rates have displayed two important regularities. First, real exchange rates (nominal exchange rates adjusted for domestic price trends) have been mean reverting. Second, the mean reversion has predominantly come in form of nominal exchange rate trends.

Factor Regressions are one way to ascertain a fund’s exposure to certain factors that an investor/advisor may want to allocate towards, such as Value, Momentum, Quality, etc. Luckily, there are some great free tools available online, such as portfoliovisualizer.com, that allows investors to run

More than 600 finance professionals registered to attend the London Revolution. An excellent group of top finance professionals shared their latest research and experience with big data and machine learning. The event took place on April 24, 2018 at the Banking Hall, one of the most exquisite venues

For many investors, the superiority of passive investing over active investing is axiomatic (Earth to passive investors; Lunch is never free!) And why not? Study after study has demonstrated that only a small portion of actively managed funds beat their benchmarks over long time frames. A recent