Stock XYZ is currently trading at $$100.$ What would be the price of an American Put option on

stock XYZ$,$ with a strike price of $$110$ and a time to expiry of $6$ months, if you were to use a

N$=50$ period binomial tree model? $($The historic annualized stock volatility is $15\%$ and the

annual risk free rate is $6\%$