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the second sheet$/$ image is my assignment

I need help finding these values

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all info is provided

my case:

Consider a stock which is currently selling for $$50.$ Construct a two$-$step binomial tree, $1-$

month and $2-$months respectively for each of the two steps. The stock market volatility is

$30\%,$ the rate of interest is assumed to be $5\%$ and the exercise price is $$52.$

$($i$)$ Calculate the price of an American Put.

$($ii$)$ Provide a graphical illustration to demonstrate how the put price and the put payoff

change with respect to changes in the stock price.