Analysts expect Placer Corp. to pay shareholders $$5\mathrm{.}00$ per share for Year $1.$ For the "following" $3$ years, it will be $$7\mathrm{.}5/$sh annually. Afterward $($ie$.$ after four years$),$ the dividend will stay at $$8\mathrm{.}8/$sh$.$

Given a discount rate of $15\%,$ what is the value of the stock today?

Group of answer choices

$$52\mathrm{.}78$

$$48\mathrm{.}41$

$$82\mathrm{.}28$

$$49\mathrm{.}98$