Suppose the exchange rate is $$1\mathrm{.}08/.$ Let r$ $=7\%,$ r$=8\%,$ u $=1\mathrm{.}4,$ d $=0\mathrm{.}7,$ p$*=0\mathrm{.}41436,$ and T $=2.$ Using the $2-$step currency price tree below, calculate the value of a $$1\mathrm{.}20-$strike American put option on the euro.