Pricing options with American-style average reset features

This study extends the Hull and White (1993 J. Derivatives 1 21-31) binomial method to construct a trinomial model for the valuation of American-style options whose strike price can be reset to a new level. The reset criterion is conditioned upon the average underlying asset price hitting the reset barrier in a specified period although the model proposed can accommodate other features. For prices benchmarked against ordinary Asian options, we investigate the difference between a daily reset warrant and a period-average reset warrant and find that the number of time steps between observations affects the value of American-style average price options and period-average reset options.