  There exist several methods how more general options can be priced with call
prices. In this article, we extend these results to cover a wider class of
options and market models. In particular, we introduce a new pricing formula
which can be used to price more general options if prices for call options and
digital options are known for every strike price. Moreover, we derive similar
results for barrier type options. As a consequence, we obtain a static hedging
for general options in the general class of models. Our result can be utilised
in several significant applications. As a simple example, we derive an upper
bound for the value of a general American option with convex payoff and
characterise conditions under which the value of this option equals to the
value of the corresponding European option.
