Let S $=$ $$100,$ K $=$ $$95,\backslash$sigma $=30\%,$ r $=8\%,$ T $=1,$ and $\backslash$delta $=0.$ For simplicity, let u $=1\mathrm{.}3,$ d $=0\mathrm{.}8$ and n $=2($that is$,2$ periods$).$ When constructing the binomial tree for the European call option, what is B $($Dollar Amount Borrowed in the replicating portfolio$)$ at the first node $($Time $0)?$

Question $12$ options:

$-$$$32\mathrm{.}35$

$-$$$121\mathrm{.}24$

$-$$$91\mathrm{.}28$

$-$$$13\mathrm{.}84$

$-$$$49\mathrm{.}13$