Tracking VIX with VIX Futures: Portfolio Construction and Performance

We study a series of static and dynamic portfolios of VIX futures and their effectiveness to track the VIX index. We derive each portfolio using optimization methods, and evaluate its tracking performance from both empirical and theoretical perspectives. Among our results, we show that static portfolios of different VIX futures fail to track VIX closely. VIX futures simply do not react quickly enough to movements in the spot VIX. In a discrete-time model, we design and implement a dynamic trading strategy that adjusts daily to optimally track VIX. The model is calibrated to historical data and a simulation study is performed to understand the properties exhibited by the strategy. In addition, comparing to the volatility ETN, VXX, we find that our dynamic strategy has a superior tracking performance.

[1]  Tim Leung,et al.  Understanding the non-convergence of agricultural futures via stochastic storage costs and timing options , 2016, Journal of Commodity Markets.

[2]  Enrique Sentana,et al.  Valuation of Vix Derivatives , 2010 .

[3]  F. Longstaff,et al.  Valuing Futures and Options on Volatility , 1996 .

[4]  Tim Leung,et al.  A stochastic control approach to managed futures portfolios , 2018 .

[5]  Trading VIX Futures Under Mean Reversion with Regime Switching , 2016, 1605.07945.

[6]  B. Ward Optimal Dynamic Strategies for Index Tracking and Algorithmic Trading , 2017 .

[7]  R. Whaley Trading Volatility: At What Cost? , 2013, The Journal of Portfolio Management.

[8]  T. Alderweireld,et al.  A Theory for the Term Structure of Interest Rates , 2004, cond-mat/0405293.

[9]  Tim Leung,et al.  Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications , 2015 .

[10]  Bjørn Eraker,et al.  Explaining the Negative Returns to VIX Futures and ETNs: An Equilibrium Approach , 2014 .

[11]  Tim Leung,et al.  Understanding the Tracking Errors of Commodity Leveraged ETFs , 2014, 1610.09404.

[12]  Tim Leung,et al.  Optimal Dynamic Pairs Trading of Futures Under a Two-Factor Mean-Reverting Model , 2018, International Journal of Financial Engineering.

[13]  Tim Leung,et al.  Dynamic Index Tracking and Risk Exposure Control Using Derivatives , 2017 .

[14]  R. Mazo On the theory of brownian motion , 1973 .

[15]  Tim Leung,et al.  The Golden Target: Analyzing the Tracking Performance of Leveraged Gold ETFs , 2015, 1501.02276.

[16]  Z. Wang,et al.  Speculative Futures Trading under Mean Reversion , 2015, 1601.04210.

[17]  Tim Leung,et al.  Dynamic Index Tracking and Risk Exposure Control Using Derivatives , 2018 .

[18]  Geng Deng,et al.  Are VIX Futures ETPs Effective Hedges , 2012 .