Chalk Dust Disposal Inc. has $$10$ cash and operates an incinerator that generates free cashbflow of $$5$ per year in perpetuity $($ starting in $1$ year$).$ Chalk Dust is all$-$equity financed, its shareholders require a return of $10\%,$ and it has $100$ shares outstanding. The company is considering paying a dividend of $$0\mathrm{.}1$ per share. What is the stock price before the dividend and what is the price after the dividend?