The current price of a non$-$dividend paying stock is $29\mathrm{.}6.$ Use a two$-$step tree to value a European put option on the stock with a strike price of $32\mathrm{.}2$ that expires in $6$ months with u $=1\mathrm{.}29$ and d $=0\mathrm{.}89.$ Each step is $3$ months, the risk free rate is $10\mathrm{.}0\%.$