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...

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...

We show that the volatility of a price process, which is usuallyregarded as an impediment to financial growth, can serve as an en-dogenous factor in its acceleration.