Recent results for pricing American options based on Mellin transforms are used to derive several approximations for the critical stock price of a finite-living American option. We prove important theoretical properties of the derived approximations and compare our results to other approaches...

Many efficient and accurate analytical methods for pricing American options now exist. However, while they can produce accurate option prices, they often do not give accurate critical stock prices. In this paper, we propose two new analytical approximations for American options based on the...

Many efficient and accurate analytical methods for pricing American options now exist. However, while they can produce accurate option prices, they often do not give accurate critical stock prices. In this paper, we propose two new analytical approximations for American options based on the...