This appendix derives the Radon-Nikodym derivative under the minimal martingale measure q and then consequently obtains (5) for
American option pricing model.
The
American option value, P, in equation (3) can be estimated given any two observations of [P.sub.n].
In this paper, we have developed Laplace transform methods to solve the time-fractional
American option pricing under regime switching models.
Subrahmanyam, 1997, "The Valuation of
American Options with Stochastic Interest-Rates--A Generalization of the Geske-Johnson Technique", Journal of Finance, 52:827-840
Stentoft, "Assessing the Least Squares Monte-Carlo approach to
American option valuation," Review of Derivatives Research, vol.
Due to this appealing feature, the entropy pricing method has been extended to price
American options. Liu [4] proposed a so-called canonical least-squares Monte Carlo (CLM) method for pricing
American options which uses Stutzer's framework to get the canonical distribution as pricing measure and determines the optimal exercise strategy via least-squares Monte Carlo algorithm (Longstaff and Schwartz [5]).
However, because of the natural recombination, the trinomial Markov tree has its advantage, which can use the same backtracking method with the general trinomial tree, especially in
American option.