Deluxe Company expects to pay a dividend of $$4$ per share at the end of year $1$ and $$5$ per share at the end of year $2,$ and then be sold for $$46$ per share at the end of year $2.$ If the required rate of return on the stock is $15$ percent, what is the current value of the stock?

Multiple Choice

$$42\mathrm{.}04$

$$47\mathrm{.}83$

$$49\mathrm{.}84$

$$43\mathrm{.}02$