Currency and Cryptocurrency Exchange Rate Momentum Tests
May 10, 2017 - Currency Trading, Momentum Investing
How well do time series (intrinsic) and cross-sectional (relative) momentum work for different types of currency exchange rates? In their April 2017 paper entitled “Momentum in Traditional and Cryptocurrencies Made Simple”, Janick Rohrbach, Silvan Suremann and Joerg Osterrieder compare the effectiveness of time series and cross-sectional momentum as applied to three groups of currency exchange rates: G10 currencies; non-G10 conventional currencies; and, cryptocurrencies. To measure momentum they employ three pairs (one fast and one slow) of exponential moving averages (EMA) spanning short, intermediate and long horizons. When the fast EMA of a pair is above (below) the slow EMA, the trend is positive (negative). They extract a momentum signal for each exchange rate from these three EMA pairs by:
- For each EMA pair, taking the difference between the fast and slow EMA.
- For each EMA pair, dividing the output of step 1 by the standard deviation of the exchange rate over the last three months to scale currency fluctuations to the same magnitude.
- For each EMA pair, dividing the output of step 2 by its own standard deviation over the last year to suppress series volatility.
- For each EMA pair, mapping all outputs of step 3 to signals between -1 and 1.
- Averaging the signals across the three EMA pairs to produce an overall momentum signal.
The time series portfolio holds all currencies weighted each day according to their respective prior-day overall momentum signals. The cross-sectional portfolio is each day long (short) the three currencies with the highest (lowest) overall momentum signals. Key performance metrics are annualized average gross return, annualized standard deviation of returns, annualized gross Sharpe ratio (assuming risk-free rate 0%) and maximum drawdown. Using daily foreign currency exchange rates for 23 conventional currencies and seven cryptocurrencies versus the U.S. dollar as available through late March 2017, they find that: Keep Reading