Detailed explanation please!

Problem 19.2 One year from now, GS stock is expected to sel for either $130 or $124. The annual continuously compounded interest rate is 11%. The risk-neutral probability of the stock price being $130 in one year is 0.77. What is the ur rent stock price for which a one-year American put option on the stock with a strike price of $160wil have the same value whether calculated by means of the binomial option pricing model or by taking the difference between the stock price and the strike price