Using a binomial tree, when calculating the price of a $$40$ strike $6-$month European put option, using $3-$month intervals as the time period, what is B $($Dollar Amount Borrowed in the replicating portfolio$)$ at the up node at the end of Period $1($after the stock price goes up once$)?$ Assume the following data: S $=$ $$36\mathrm{.}80,\backslash$delta $=0\%,$ r $=5\mathrm{.}0\%,\backslash$sigma $=0\mathrm{.}35.$

Question $27$ options:

$$3\mathrm{.}8142$

$$7\mathrm{.}5860$

$$10\mathrm{.}6719$

$$0$

$$11\mathrm{.}3157$