5. You are given the following information about a non-dividend paying stock and a 1-year American put option on a 1-year futures contract on this stock: i) The future price is modeled with a 2-period binomial tree ii) The tree is constructed based on forward prices. iii) The underlying stock price is 780 iv) The strike price is 800. v) The continuously compounded risk-free rate is 4% vi) The stock's volatility is 30%. Calculate the put option premium