$1.$ A trader has a put option contract to sell $100$ shares of a stock for a strike price of $$50.$ What is the effect on the terms of the contract of the following?

a$.$ A $$5$ dividend being declared.

b$.$ A $$5$ dividend being paid.

c$.$ A $5-$for$-2$ stock split.

d$.$ A $5\%$ stock dividend being paid.