If you couldn’t tell from our recent monster commodity futures post, we’ve been thinking a lot about futures recently. The futures research area is relatively “fresh,” and a lot more exciting than hacking through equity stock selection research where we already understand the basic answer — buy cheap/quality, buy strength, and embrace relative performance pain.
As part of our research education series on futures, we recently reviewed an engrossing paper, “Time Series Momentum and Volatility Scaling,” by Abby Y. Kim, Yiuman Tse, John K. Wald (KTW), which revisits the findings regarding another futures paper, “Time Series Momentum,” by Tobias J.Moskowitz, Yao Hua Ooi, Lasse Heje Pedersen (MOP).
We recap the core findings from KTW and MOP below:
Time Series Momentum Key Insights (by MOP)
The key elements from MOP are as follows:
- 58 future contracts cover the 1965-2009 period (24 commodities, 12 cross-rate currency pairs, 9 developed equity indexes and 13 developed government bonds).
- Strategy is based on time-series momentum, i.e, were past returns positive or negative? Positive = long; negative = short
- Positions are volatility weighted so that high-volatility assets will not dominate returns. This is similar to an equally weighted risk parity portfolio, in which the weights refer to risk. In MOP, target vol is around 40% versus average vol of 19%, effectively 2x leverage.
- A volatility-scaled TSMOM strategy (12 month lookback, 1 month hold) generates 1.09% excess returns monthly (w/t-stat of 5.4), after controlling for Asness et al. value/momentum “everywhere” factors for global stock returns, bond returns, currencies and commodities.
- TSMOM loads on Asness et al.’s cross-sectional momentum, but their everywhere factor does not explain it.
Time Series Momentum and Volatility Scaling Key Insights (by KTW)
The KTW paper revisits the analysis from MOP. Using 55 futures contracts cover the 1985-2009 period, the authors confirm the results from MOP. However, KTW identify the following results that appear to conflict with MOP:
- Using an unscaled, equal-weighted method, the alpha of a TSMOM portfolio drops to 0.39% per month, v.s. vol-scaled, TSMOM’s 1.08% monthly alpha.
- Without vol scaling, the portfolio alpha is similar to a buy-and-hold futures portfolio. Using the unscaled method, the alpha of a buy-and-hold strategy is 0.34% per month. Moreover, when buy-and-hold is scaled using the MOP method, it generates a 0.73% estimate of monthly alpha.
- KTW argue that the strong TSMOM returns identified by MOP were due to leveraging a strategy that happened to have a positive alpha estimate for a buy-and-hold “passive” strategy during this sample period.
- When one examines “unlevered” TSMOM (i.e., with no volatility scaling) it does not significantly outperform buy-and-hold.
- Bottomline: the outperformance of TSMOM is largely driven by vol-scaling, or leverage, not by abnormal returns associated with TSMOM.
Reconciling the Disagreement
We think MOP and KTW have inspired an intriguing debate. To get closer to understanding the “truth,” we conducted our own research into the question. Our sample covers the 1998-7/2016 period, and includes 38 future contracts for commodities, fixed income, and equities (22 commodities contracts, 7 developed bond contracts, 9 equity index contracts). We excluded currency contracts and a few other contacts because our ability to trade contracts is limited to what is available at Interactive Brokers.
The contracts are as follows:
- MF1: volatility weighted, non-scaled (annualized volatility of 4.55%), Buy&Hold, monthly rebalance
- MF2: volatility weighted, non-scaled (annualized volatility of 4.45%), 12-month TSMOM, monthly rebalance
- MF3: volatility weighted, scaled (with target an annualized 12% volatility at the portfolio level), Buy&Hold, monthly rebalance
- MF4: volatility weighted, scaled (with target an annualized 12% volatility at the portfolio level), 12-month TSMOM, monthly rebalance
The returns from futures are all excess returns and do not include interest received on a fully collateralized futures position.
- SPY – SP500 total return index
- LTR – U.S. Treasury 10-Year bond total return index
- 60_40 – 60% in SPY, 40% in LTR
All returns are total returns and include the reinvestment of distributions (e.g., dividends). Data is from Bloomberg and publicly available sources.
Results of Our Analysis
The chart below shows the summary results from our analysis, covering the period 1998– 7/2016:
Based on our analysis, we can see that there is huge difference between non-vol-scaled (MF1 and MF2) and the vol-scaled (MF3 and MF4). Because vol-scaling is essentially leveraging the positions, when you scale up the vol, you scale up the returns!
Note how the MF1 CAGR of 4.21% and the MF2 CAGR of 4.56% are significantly enhance by vol-scaling, going to an 11.00% CAGR for MF3 and a 12.25% CAGR for MF4. By contrast, when you de-leverage the position, you get a lower CAGR. Leverage is a powerful thing when applied to a strategy that generates “alpha.”
Here are the annual returns for each strategy:
In each row, we use conditional color formatting to highlight difference of annual returns between different strategies. Red means relatively good and green means relatively bad. MF without TSMOM (MF1, MF3) can provide some degree of tail risk protection in a handful of events such as in 2000, 2001 and 2002. MF with TSMOM can project investors better in big risk events like 2008, when SPY was down 36%, but MF2 was up 15% and MF4 was up 43%. However, since MF is an alternative asset, in some of the years, these strategies underperforms the market by extreme margins. For example, in 2009, SPY is up 26%, while MF4 is down 10.70%.
Is Time Series Momentum a Busted Strategy?
CAGR, standard deviations, and Sharpe ratios are only half of the story when it comes to time series momentum strategies, because correlations and portfolio diversification elements are also valuable. In our view, time series based futures strategies represents an “alternative” asset class, with generally lower correlations to other asset classes.
In order to assess TSMOM’s relative value as a diversifier, we present below a correlation matrix that compares strategies and benchmarks:
TSMOM (MF2 and MF4) exhibits a -27.56% correlation with SPY. From a portfolio construction standpoint, this is a valuable characteristic. Compare this correlation estimate with the Buy&Hold version of the strategy (MF1 and MF3), which has a positive 56.48% correlation with SPY (as an aside, if you are curious as to why levered/unlevered correlations of the same strategy would be identical, Cliff Asness has an interesting post that discusses a variation of