$5)$Use the risk neutral probabilities to calculate the value of a three $-$ month American put with the strike price $50$as in problem $3.$Calculate the put value at each node of the tree by comparing with early exercise value. Are there any nodes where you should early exercise the put?

Problem $3$is this: $3)$A stock price is $$50$now$.$ In $1$month it can go $5\%$up or down. In the second month it can go $5\%$up or down. And in the third month it can go $5\%$up or down. Construct a binomial tree for this stock. The annual interest rate is $10\%$with continuous compounding.

If you use ChatGPT, I will downvote.