Consider a one-step binomial tree on stock with a current price of $100 that can go either up to $120 or down to $80 in 1 year. The stock does not pay dividend. The continuously compounding interest rate is 5% (per year). We want to price the 1-year $100-strike European put option on this tree. (i) What's the put option payoff 1 year later if the stock price ends up at $120 ? (ii) What's the payoff if the stock price ends at $80 ? (iii) Use the tree to compute the value and delta of the put option. (iv) What's the risk-neutral probability of the stock orice going up to the $120 node of the tree ? (v) What's the risk-neutral probability of going down to the $80 (Round answers to 2 decimals)