The current price of Natasha Corporation stock is $6\mathrm{.}22$ In each of the next two$$ years, this stock price can either go up by $2\mathrm{.}5$ or go down by $2.$ The stock pays no dividends. The$$ one$-$year risk$-$free interest rate is $4\mathrm{.}8\%$ and will remain constant. Using the Binomial$$ Model, calculate the price of a$$ two$-$year put option on Natasha stock with a strike price of $7.$

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Part $1$

The price of the$$ two$-$year put is $$$