A trinomial tree can be used for pricing particular types of barrier options. We consider particular types of single barrier and double barrier options. Each method for pricing a particular type of barrier option is based on a combination of techniques, that is, a tree generation technique and an appropriate backward induction pricing technique.

A trinomial tree based method is presented for pricing exotic options. The model is based on a combination of techniques. that is, a tree generation technique and an appropriate backward induction pricing technique.

A model is presented for pricing a European lookback call option on a stock index with guaranteed exchange rate (LBCGER). Closed-form formulas exist for pricing certain types of lookback options. For example, assuming that the underlying security earns no dividend. The method for pricing a lookback call option with guaranteed exchange rate is based on a single factor Monte Carlo approach. The idea of the method is to stochastically generate a large number of discrete sample paths for the underlying security

The method for pricing the types of partial barrier options assumes that the underlying security follows geometric Brownian motion with constant drift and volatility. Furthermore the method is based on certain analytical pricing. We note that these formulas include certain bivariate cumulative normal distribution terms, which the method approximates using an analytical technique