## Mathematical Finance

Consider a European call option on a non-dividend paying stock where
the strike price is $40. Assume the stock price moves according to a multiplicative binomial tree with u = 1.1 and d = 0.85. The risk-free rate is 4% per annum and the time to maturity is six months. What current value of the stock would make the current value of the option equal to$5, if it were priced with a one-period tree?