Question $6(20$ points$)$An investor has exchange$-$traded put options to sell $100$ shares for $$20.(1)$There is a $2$ for $1$ stock split. What is the new position of the investor after the stock split? $(10$ marks$)(2)$There is $25\%$ stock dividend. What is the new position of the investor after the stock dividend? $(10$ marks$)$