A recent paper tries to develop a unified theory of trend-following by classifying trend-following into three groups; see “The science and practice of trend-following systems”.
The authors break trend-following into three types: European, American, and Time Series Momentum.
European trend-following is based on continuous weights using an EWMA filter. In this system, position sizes are proportional to the signal strength, with the number of contracts changing day to day.
American trend-following uses channel or breakout systems with binary position sizes, so exposure is fully allocated when a signal is on.
Time series momentum is based on the momentum of returns adjusted for volatility.
There are parameter specifications that will deliver similar risk-adjusted returns close to the SG trend index.
All of these trend-following systems are strongly correlated, yet there are differences in position-taking and signaling. The success of trend-following is based on the serial dependence of the underlying price series. Differences in performance will be related to differences in short- and long-term variance, and signals are related to an autocorrelation and drift term. Profits are related to an autocorrelation term even if drift is zero.







