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Big Ideas

These blog entries offer some big ideas of lasting value relevant for investing and trading.

A Few Notes on The Geometry of Wealth

Brian Portnoy introduces his 2018 book, The Geometry of Wealth: How To Shape A Life Of Money And Meaning, by stating that the book is: “…a story told in three parts,…from purpose to priorities to tactics. Each step has a primary action associated with it. The first is adaptation. The second is prioritization. The third is simplification. …The principle that motors us along the entire way is what I call ‘adaptive simplicity,’ a means of both rolling with the punches and and cutting through the noise.” Based on his two decades of experience in the mutual fund and hedge fund industries, including interactions with many investors, along with considerable cited research (much of it behavioral), he concludes that: Keep Reading

When Machine Learning Works for Investing

In what areas does machine learning have advantages over conventional financial/investment analysis? In his June 2018 presentation entitled “Nine Financial Applications of Machine Learning”, Marcos Lopez de Prado summarizes investing-related areas in which well-supervised machine learning outperforms conventional methods. Based on relevant research and his experience, he asserts that: Keep Reading

True vs. Snooped Sharpe Ratios

Data snooping bias is pervasive in published research and quantitative investment strategies. Should investors resign themselves to the consequence that investment managers/funds offer products picked mostly on past luck? In his May 2018 presentation package entitled “How the Sharpe Ratio Died, and Came Back to Life”, Marcos Lopez de Prado introduces an approach to Sharpe ratio estimation via backtesting that would enable academia, regulators and investors to distinguish between strategies that probably work and those that probably do not. Based on the evolution of Sharpe ratio estimation approaches, he concludes that: Keep Reading

Estimating the Level of, and Correcting for, Snooping Bias

Is there a tractable way of estimating the level of data snooping bias in investment strategy studies and thereby correcting for it? In their April 2018 paper entitled “Detection of False Investment Strategies Using Unsupervised Learning Methods”, Marcos Lopez de Prado and Michael Lewis summarize and validate an approach for estimating snooping bias derived from backtesting multiple strategies on the same data and using that estimate to correct for the bias. The approach involves estimating the overall scope and dispersion of multiple backtests based on correlation clusters within known backtests. Focusing on Sharpe ratio as the key performance metric, they validate their approach via Monte Carlo simulations. Based on derivations and simulations, they conclude that: Keep Reading

Using Long-horizon Returns to Predict/Time the Stock Market

Is use of a sampling interval much shorter than input variable measurement interval a useful statistical practice in financial markets research? In the April 2018 update of their paper entitled “Long Horizon Predictability: A Cautionary Tale”, flagged by a subscriber, Jacob Boudoukh, Ronen Israel and Matthew Richardson examine statistical reliability gains from overlapping measurements of long-horizon variables (such as daily or monthly sampling of 5-year returns or 10-year moving average earnings). They employ the widely used cyclically adjusted price earnings ratio (CAPE, or P/E10) for some examples. Based on illustrations and mathematical derivations, they conclude that: Keep Reading

Putting Strategic Edges and Tactical Views into Portfolios

What is the best way to put strategic edges and tactical views into investment portfolios? In their March 2018 paper entitled “Model Portfolios”, Debarshi Basu, Michael Gates, Vishal Karir and Andrew Ang describe and illustrate a three-step optimized asset allocation process incorporating investor preferences and beliefs that is rigorous, repeatable, transparent and scalable. The three steps are: 

  1. Select a benchmark portfolio matched to investor risk tolerance via simple combination of stocks and bonds. They represent stocks with a mix of 70% MSCI All World Country Index and 30% MSCI USA Index. They represent bonds with Barclays US Universal Bond Index. In their first illustration, they focus on 20-80, 60-40 and 80-20 stocks-bonds benchmarks, rebalanced quarterly.
  2. Construct a strategic portfolio with the same expected volatility as the selected benchmark but generates a higher long-term Sharpe ratio by including optimized exposure to styles/factors expected to outperform the market over the long run. Key inputs are long-run asset returns and covariances plus a risk aversion parameter. In their first illustration, they constrain the strategic model portfolio to have the same overall equity exposure and regional equity exposures as the selected benchmark.
  3. Add tactical modifications to the strategic portfolio by varying strategic positions based on short-term expected returns and risks. In their second illustration, they employ a 100-0 stocks-bonds benchmark consisting of 80% MSCI USA Net Total Return Index and 20% MSCI USA Minimum Volatility Net Total Return Index. The corresponding strategic portfolio reflecting long-term expectations is an equally weighted combination of value, momentum, quality, size and minimum volatility equity factor indexes. They specify short-term return and risk expectations based on four indicators involving: economic cycle variables; aggregate stock valuation metrics; factor momentum; and, dispersion of factor measures (such as difference in valuations between value stocks and growth stocks). They apply these indicators to underweight or overweight strategic positions using an optimizer. They rebalance these portfolios monthly. 

For their asset universe, they focus on indexes accessible via Exchanged Traded Funds (ETFs). Using monthly data for five broad capitalization-weighted equity indexes, six broad bond/credit indexes of varying durations and six style/factor (smart beta) equity indexes as available during January 2000 through June 2017, they find that: Keep Reading

Methods for Mitigating Data Snooping Bias

What methods are available to suppress data snooping bias derived from testing multiple strategies/strategy variations on the same set of historical data? Which methods are best? In their March 2018 paper entitled “Systematic Testing of Systematic Trading Strategies”, Kovlin Perumal and Emlyn Flint survey statistical methods for suppressing data snooping bias and compare effectiveness of these methods on simulated asset return data and artificial trading rules. They choose a Jump Diffusion model to simulate asset return data, because it reasonably captures volatility and jumps observed in real markets. They define artificial trading rules simply in terms of probability of successfully predicting next-interval return sign. They test the power of each method by: (1) measuring its ability not to choose inaccurate trading rules; and, (2) relating confidence levels it assigns to strategies to profitabilities of those strategies. Using the specified asset return data and trading rule simulation approaches, they conclude that: Keep Reading

Data Perturb/Replay to Test Strategy Sensitivities

How can investment advisors apply historical asset performance data to address client views regarding future market/economic conditions? In their February 2018 paper entitled “Matching Market Views and Strategies: A New Risk Framework for Optimal Selection”, Adil Reghai and Gaël Riboulet present an approach for quantitatively relating historical asset return statistics to investor views. They intend this approach to address the widespread problem of backtest overfitting, whereby researchers discover good performance by fitting strategy features to noise in an historical dataset. Specifically, they:

  1. Collect historical return data for assets of interest and run backtests of alternative strategies on these data.
  2. Perturb historical average return, volatility, skewness and pairwise correlations up or down for these assets and rerun backtests of alternative strategies on multiple perturbations.
  3. Analyze relationships between directions of these perturbations and performance of alternative strategies.
  4. Match investor views first to directions of perturbations and then to strategies responding favorably (or least unfavorably) to these directions.

They apply this approach to generic algorithmic strategies (equal weight, momentum, mean reversion and carry). Based on mathematical derivations and examples, they conclude that: Keep Reading

Chess, Jeopardy, Poker, Go and… Investing?

How can machine investors beat humans? In the introductory chapter of his January 2018 book entitled “Financial Machine Learning as a Distinct Subject”, Marcos Lopez de Prado prescribes success factors for machine learning as applied to finance. He intends that the book: (1) bridge the divide between academia and industry by sharing experience-based knowledge in a rigorous manner; (2) promote a role for finance that suppresses guessing and gambling; and, (3) unravel the complexities of using machine learning in finance. He intends that investment professionals with a strong machine learning background apply the knowledge to modernize finance and deliver actual value to investors. Based on 20 years of experience, including management of several multi-billion dollar funds for institutional investors using machine learning algorithms, he concludes that: Keep Reading

Mimicking Anything with ETFs

Can a simple set of exchange-traded funds (ETF), weighted judiciously, mimic the behaviors of most financial assets? In their January 2018 paper entitled “Mimicking Portfolios”, Richard Roll and Akshay Srivastava present and test a way of constructing mimicking portfolios using a small set of ETFs as investment factor proxies. They define a mimicking portfolio as a weighted set of tradable assets that match factor sensitivities of a target, which may be a specific asset, a fund or a non-tradable variable such as an economic indicator. They state that mimicking portfolios should: (1) consist of liquid, easily tradable assets; and, (2) exhibit little return volatility not explained by the factors used. They first winnow a large number of potential factor proxy ETFs spanning major asset classes and geopolitical regions by retaining only one ETF from any pair with daily return correlation greater than 0.70. They begin mimicking portfolio tests at the end of January 2009, when enough reasonably unique ETFs become available. They test this set of ETFs by creating portfolios from them that mimic each NYSE stock that has daily returns over the full sample period. Specifically, on the last day of each month, they reform a mimicking portfolio for each stock via a regression of stock return versus factor proxy ETF returns over the prior 300 trading days (or as few as 250 if 300 are not yet available) to reset coefficients for the ETFs. They perform an ancillary test by attempting to mimic iShares iBoxx $ Investment Grade Corporate Bond (LQD) and SPDR Dow Jones International Real Estate (RWX) ETFs, which are not in the factor proxy set. Using daily returns for the large number of ETFs and 1,634 NYSE stocks from the end of January 2009 through December 2016, they find that: Keep Reading

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