Option pricing for the transformed-binomial class

This article generalizes the seminal Cox-Ross-Rubinstein (1979) binomial option pricing model to all members of the class of transformed-binomial pricing processes. The investigation addresses issues related with asset pricing modeling, hedging strategies, and option pricing. Formulas are derived for (a) replicating or hedging portfolios, (b) risk-neutral transformed-binomial probabilities, (c) limiting transformed-normal distributions, and (d) the value of contingent claims, including limiting analytical option pricing equations. The properties of the transformed-binomial class of asset pricing processes are also studied. The results of the article are illustrated with several examples.