A trader sold $1$ contract $(100$ shares$)$ of exchange traded American Put options with Exercise price X $=$ $$20.$

There is a $2-$for$-1$ stock split.

Which of the following is the current position of the trader after the stock split?

Group of answer choices

$100$ shares for X $=$ $$20$

$100$ shares for X $=$ $$10$

$200$ shares for X $=$ $$10$

$200$ shares for X $=$ $$20$