Price matching for multiple rescindable options and European options

Nikolai Dokuchaev


We suggest different  modifications of an American option such that the option holder can exercise the option early before the expiration and can revert later this decision; it can be repeated a number of times. This feature gives additional flexibility and risk protection for the option holder. We found that, for the Black-Scholes market model, the price of call options with this feature is  the same as for the European call, i.e., the additional flexibility costs nothing, similarly to the situation with American and European call options. For the market model with zero interest rate,  the price of put options with this feature is also the same as for the standard European put options. Therefore, these options can be more competitive than the standard American options.