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...

The recently proposed canonical least-squares Monte Carlo (CLM) method is extended by incorporating uniquely a variance constraint in the derivation of the equivalent martingale measure used by CLM. This derivation can be viewed as a change of measure numerically by modifying both the drift term...