Question $5-$ Non$-$constant growth valuation $[4$ points$]$: Xtinct Artifacts has not paid a dividend during the past $10$ years. However, at the end of this year $($Year $1),$ the company plans to pay a $$1\mathrm{.}50$ dividend and a $$2$ dividend the following year $($Year $2).$ Starting in Year $3,$ the dividend will begin to grow by $5$ percent each year for as long as the firm is in business. If investors require an $11$ percent rate of return to purchase Xtinct's common stock, what should be the market value of its stock today?