We are the first to study the pricing and hedging of VIX options via Monte Carlo (MC) under GARCH(1,1) and Glosten–Jagannathan–Runkle GARCH(1,1) models. Our pricing is ab initio and out‐of‐sample and can be implemented in real time. Importantly, we propose the so‐called single‐option...

In this paper a new approach to pricing American options is proposed and termed the canonical implied binomial (CIB) tree method. CIB takes advantage of both canonical valuation (Stutzer, 1996) and the implied binomial tree method (Rubinstein, 1994). Using simulated returns from geometric...

Known discrete dollar dividends lead to non-recombining binomial trees (NR-BT) with an explosion of nodes, which are more difficult to implement and much less efficient. This paper proposes a method for constructing a recombining binomial tree via balanced dividend adjustments (BDA). BDA splits...