We study front-running by high frequency traders (HFTs) in a limit order model with continuous trading. The model describes an evolutionary equilibrium of low frequency traders (LFTs) who compete in portfolio management services by offering investment styles. The introduction of front-runners...

This chapter surveys theoretical research on the long-term performance of fixed-mix investment strategies. These self-financing strategies rebalance the portfolio over time so as to keep constant the proportions of wealth invested in various assets. The main result is that wealth can be grown...

We explain the evolution of the volatility market and present the infamous day of 'Volmageddon' as an insightful case study. Our survey focuses on the pricing and trading of volatility linked assets, highlighting the impact of mechanical hedging in markets for futures and higher-order...

This chapter surveys theoretical research on the long-term performanceof xed-mix investment strategies. These self-nancing strategies rebalancethe portfolio over time so as to keep constant the proportionsof wealth invested in various assets. The main result is that wealthcan be grown from...

Modern portfolio theory regards the return of an asset as its upside, while volatilityis seen as its downside. This view is shared by the majority of investors who dislikevolatile markets. Recent results in financial mathematics, however, show thatvolatility is actually good, rather than bad,...