Let S $=$ $$100,$ K $=$ $$95,$ r $=8\%($continuously compounded$),\backslash$sigma $=30\%,\backslash$delta $=0.$ T $=1$ year, and n $=3($that is$,3$ periods$).$ When constructing the binomial tree for the European put option, what is $($Stock Share Purchased in the replicating portfolio$)$ at the first node $($Time $0)?($Hint: u and d are not given and need to be calculated.$)$

Question $4$ options:

$0\mathrm{.}9528$

$0\mathrm{.}4870$

$-0\mathrm{.}5130$

$0\mathrm{.}7400$

$-0\mathrm{.}2600$