Consider European options on a stock when the stock price is $$56,$ the strike price is $$50,$ the risk$-$free rate is $4\%,$ and the time to maturity is $1$ year. Assume that a dividend of $$2$ is expected after six months. If the value a European call on the stock is $$8\mathrm{.}63,$ what is the value of the corresponding put option?

Group of answer choices

$$4\mathrm{.}41$

$$5\mathrm{.}34$

$$2\mathrm{.}63$

$$3\mathrm{.}56$