We value UK executive stock options (ESOs) as American options that areawarded conditional on the probability of the holders achieving some performancecriteria. Unlike the standard Black and Scholes (BS) model, which is universally usedboth in the literature and practice, this provides a more...

We price European-style options on assets whose probability distributions have two unknown parameters. We assume a pricing kernel which also has two unknown parameters. When certain conditions are met, a two-dimensional risk-neutral valuation relationship exists for the pricing of these options:...