The share price of Cheung Kong (Holdings) Limited is currently at $100. Over each of the next two three-month periods, you expect its price will either increase by 10% or fall by 10% in each three-month period. If the Hong Kong interbank offered rate is 8% per annum with continuous compounding, evaluate the price of a six-month American put option with a strike price of $95 using a binomial option pricing model.