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We study a series of static and dynamic portfolios of Volatility Index (VIX) futures and their effectiveness to track the VIX. 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, compared to the volatility ETN, VXX, we find that our dynamic strategy has a superior tracking performance.
As the international financial marketplace has evolved to encompass a wide range of tradable asset classes, tensions between classical investment theory, trading practices, and government regulations have grown. This chapter will map the history of modern trading, taking a close look at the products, venues, and technological underpinnings of today's futures markets. It will focus on high-frequency trading, assessing the varying roles and needs of investment elites, market makers, regulators, and the public in maintaining clean and orderly market mechanisms. Key questions include the role of market participants, hedgers, speculators, and arbitrageurs in high-frequency trading and price discovery, their influence over fluctuations in financial stability, and the implications for the financial system as a whole. The chapter will conclude with a look ahead in terms of the regulatory activities that will shape these mechanisms in the years to come, with comments on market microstructure, the provision of liquidity, and innovation in futures markets around the world.